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h,e,d=a.scripts.length;try{while(a.ithis.processUpdateTime&&a.i1){d.jax[a.outputJax].push(b)}b.MathJax.state=c.OUTPUT},prepareOutput:function(c,f){while(c.jthis.processUpdateTime&&h.i=0;o--){if(b[o].src.match(d)){q.script=b[o].innerHTML;if(RegExp.$2){var r=RegExp.$2.substr(1).split(/\&/);for(var n=0,h=r.length;n=parseInt(x[y])}}return true},Select:function(j){var i=j[c.Browser];if(i){return i(c.Browser)}return null}};var g=navigator.userAgent.replace(/^Mozilla\/(\d+\.)+\d+ /,"").replace(/[a-z][-a-z0-9._: ]+\/\d+[^ ]*-[^ ]*\.([a-z][a-z])?\d+ /i,"").replace(/Gentoo |Ubuntu\/(\d+\.)*\d+ (\([^)]*\) )?/,"");c.Browser=c.Insert(c.Insert(new String("Unknown"),{version:"0.0"}),a);for(var t in a){if(a.hasOwnProperty(t)){if(a[t]&&t.substr(0,2)==="is"){t=t.slice(2);if(t==="Mac"||t==="PC"){continue}c.Browser=c.Insert(new String(t),a);var p=new RegExp(".*(Version)/((?:\\d+\\.)+\\d+)|.*("+t+")"+(t=="MSIE"?" ":"/")+"((?:\\d+\\.)*\\d+)|(?:^|\\(| )([a-z][-a-z0-9._: ]+|(?:Apple)?WebKit)/((?:\\d+\\.)+\\d+)");var s=p.exec(g)||["","","","unknown","0.0"];c.Browser.name=(s[1]=="Version"?t:(s[3]||s[5]));c.Browser.version=s[2]||s[4]||s[6];break}}}c.Browser.Select({Safari:function(j){var i=parseInt((String(j.version).split("."))[0]);if(i>85){j.webkit=j.version}if(i>=534){j.version="5.1"}else{if(i>=533){j.version="5.0"}else{if(i>=526){j.version="4.0"}else{if(i>=525){j.version="3.1"}else{if(i>500){j.version="3.0"}else{if(i>400){j.version="2.0"}else{if(i>85){j.version="1.0"}}}}}}}j.isMobile=(navigator.appVersion.match(/Mobile/i)!=null);j.noContextMenu=j.isMobile},Firefox:function(j){if((j.version==="0.0"||navigator.userAgent.match(/Firefox/)==null)&&navigator.product==="Gecko"){var m=navigator.userAgent.match(/[\/ ]rv:(\d+\.\d.*?)[\) ]/);if(m){j.version=m[1]}else{var i=(navigator.buildID||navigator.productSub||"0").substr(0,8);if(i>="20111220"){j.version="9.0"}else{if(i>="20111120"){j.version="8.0"}else{if(i>="20110927"){j.version="7.0"}else{if(i>="20110816"){j.version="6.0"}else{if(i>="20110621"){j.version="5.0"}else{if(i>="20110320"){j.version="4.0"}else{if(i>="20100121"){j.version="3.6"}else{if(i>="20090630"){j.version="3.5"}else{if(i>="20080617"){j.version="3.0"}else{if(i>="20061024"){j.version="2.0"}}}}}}}}}}}}j.isMobile=(navigator.appVersion.match(/Android/i)!=null||navigator.userAgent.match(/ Fennec\//)!=null)},Opera:function(i){i.version=opera.version()},MSIE:function(j){j.isIE9=!!(document.documentMode&&(window.performance||window.msPerformance));MathJax.HTML.setScriptBug=!j.isIE9||document.documentMode<9;var v=false;try{new ActiveXObject("MathPlayer.Factory.1");j.hasMathPlayer=v=true}catch(m){}try{if(v&&!q.params.NoMathPlayer){var i=document.createElement("object");i.id="mathplayer";i.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(i);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");j.mpNamespace=true;if(document.readyState&&(document.readyState==="loading"||document.readyState==="interactive")){document.write('');j.mpImported=true}}else{document.namespaces.add("mjx_IE_fix","http://www.w3.org/1999/xlink")}}catch(m){}}});c.Browser.Select(MathJax.Message.browsers);c.queue=f.Callback.Queue();c.queue.Push(["Post",q.signal,"Begin"],["Config",q],["Cookie",q],["Styles",q],["Message",q],function(){var i=f.Callback.Queue(q.Jax(),q.Extensions());return i.Push({})},["Menu",q],q.onLoad(),function(){MathJax.isReady=true},["Typeset",q],["Hash",q],["MenuZoom",q],["Post",q.signal,"End"])})("MathJax")}}; diff --git a/config/AM_HTMLorMML-full.js b/config/AM_HTMLorMML-full.js index 396568e41..074b9de6c 100644 --- a/config/AM_HTMLorMML-full.js +++ 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g=0,d=k.length;gr){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 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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 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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("
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Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics.")}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(l){var r=l.jax[this.id],s,n=r.length,w,p,y,u,x,k,t,q,o;for(s=0;s1?t/q:1)*this.config.scale;o=Math.floor(Math.max(this.config.minScaleAdjust/100,o))}else{o=100}k.NativeMML.fontSize=o+"%"}if(!h){for(s=0;s span":{"text-align":m+"!important"}})}if(!this.require){this.require=[]}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){g=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;if(!h){this.EmExSpan=d.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);e.math(e.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return f.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(h){try{if(!b.Browser.hasMathPlayer){var k=document.createElement("object");k.id="mathplayer";k.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(k);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");b.Browser.hasMathPlayer=true}if(!b.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");b.Browser.mpImported=true}}catch(l){alert("MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX \ncontrols from running. Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. 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j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" 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q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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Array){o=this.FONTDATA.VARIANT[w[1]];w=w[0]}if(typeof(w)==="string"){r=w+r.substr(A+1);A=0;x=r.length;w=w.charCodeAt(0)}}s=this.lookupChar(o,w);B=s[w];if(k||(!this.checkFont(s,j.style)&&!B[5].img)){if(y.length){this.addText(j,y);y=""}var v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");k.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(D.min&&mt){var 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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("
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");s.document.write("
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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 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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 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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("
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");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
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");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,u=b.SVG;var t=(r||q||u||{config:{scale:100}}).config.scale;var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){s=parseFloat(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}if(u){u.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 percentage (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.",Safari:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. 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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:(document.documentMode<9),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 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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 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aj=0,ai=G.length;aj",tex:null,ttype:d},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:d},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:d},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:d},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:d},{input:"arcsin",tag:"mi",output:"arcsin",tex:null,ttype:H,func:true},{input:"arccos",tag:"mi",output:"arccos",tex:null,ttype:H,func:true},{input:"arctan",tag:"mi",output:"arctan",tex:null,ttype:H,func:true},{input:"coth",tag:"mi",output:"coth",tex:null,ttype:H,func:true},{input:"sech",tag:"mi",output:"sech",tex:null,ttype:H,func:true},{input:"csch",tag:"mi",output:"csch",tex:null,ttype:H,func:true},{input:"abs",tag:"mi",output:"abs",tex:null,ttype:H,func:true},{input:"exp",tag:"mi",output:"exp",tex:null,ttype:H,func:true},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:H,acc:true});ag.Augment({AM:{Init:function(){t=ag.config.displaystyle;decimal=ag.config.decimal;E();v()},Augment:function(i){for(var ai in i){if(i.hasOwnProperty(ai)){switch(ai){case"displaystyle":t=i[ai];break;case"decimal":decimal=i[ai];break;case"parseMath":e=i[ai];break;case"parseExpr":w=i[ai];break;case"parseIexpr":z=i[ai];break;case"parseSexpr":L=i[ai];break;case"removeBrackets":T=i[ai];break;case"getSymbol":n=i[ai];break;case"position":c=i[ai];break;case"removeCharsAndBlanks":u=i[ai];break;case"createMmlNode":M=i[ai];break;case"createElementMathML":R=i[ai];break;case"createElementXHTML":V=i[ai];break;case"initSymbols":v=i[ai];break;case"compareNames":comareNames=i[ai];break}this[ai]=i[ai]}}},parseMath:e,parseExpr:w,parseIexpr:z,parseSexr:L,removeBrackets:T,getSymbol:n,position:c,removeCharsAndBlanks:u,createMmlNode:M,createElementMathML:R,createElementXHTML:V,initSymbols:v,compareNames:W,createDocumentFragment:aa,document:g,define:B,symbols:G,names:U,TOKEN:{CONST:d,UNARY:H,BINARY:X,INFIX:m,LEFTBRACKET:b,RIGHTBRACKET:l,SPACE:a,UNDEROVER:P,DEFINITION:Z,LEFTRIGHT:r,TEXT:ab}}});var ae=[S,O];ae=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:"AsciiMath Input",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};this.prefilterHooks.Execute(g);f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.merror(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath); diff --git a/config/Accessible-full.js b/config/Accessible-full.js index 63b71de87..5900adbea 100644 --- a/config/Accessible-full.js +++ b/config/Accessible-full.js @@ -52,13 +52,13 @@ 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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 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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("
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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var 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o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-((q[p][1]||{}).offsetLeft||0)}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p=0){o.style.width=this.Em(p);o.style.display="inline-block";o.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){o.style.height=""}o.style.marginLeft=this.Em(p);if(d.safariNegativeSpaceBug&&o.parentNode.firstChild==o){this.createBlank(o,0,true)}}if(l&&l!==f.COLOR.TRANSPARENT){o.style.backgroundColor=l;o.style.position="relative"}return o},createRule:function(q,m,o,r,k){if(m<-o){o=-m}var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em0&&(m+o)*this.em0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){if(p<-q){q=-p}var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=k.isMathJax=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;v=Math.round(v*this.em)/this.em;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}});if(d.chromeHeightBug){v-=(s.lastChild.offsetHeight-Math.round(v*this.em))/this.em}}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" 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q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(D.min&&sA){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var 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j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(D.min&&mt){var 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l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);if(this.FONTDATA.DELIMITERS[q].dir==="V"){k.style.verticalAlign=this.Em(k.bbox.d);k.bbox.h+=k.bbox.d;k.bbox.d=0}k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var l=q-65536;o.c=String.fromCharCode((l>>10)+55296)+String.fromCharCode((l&1023)+56320)}}if(o.rfix){this.addText(k,o.c);d.createShift(k,o.rfix/1000);return""}if(r[2]||!this.msieAccentBug||p.length){return p+o.c}d.createShift(k,r[3]/1000);d.createShift(k,(r[4]-r[3])/1000);this.addText(k,o.c);d.createShift(k,-r[4]/1000);return""},handleImg:function(k,j,o,m,l){return l},lookupChar:function(o,r){var l,j;if(!o.FONTS){var q=this.FONTDATA.FONTS;var p=(o.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(p instanceof Array)){p=[p]}if(o.fonts!=p){o.fonts=p}o.FONTS=[];for(l=0,j=p.length;l=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");k.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({Em:d.Px,unEm:d.unPx,chromeHeightBug:true,cloneNodeBug:true,rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End 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aj=b.FONTDATA.baselineskip*aC*G.useHeight,E=b.FONTDATA.lineH*aC,L=b.FONTDATA.lineD*aC;for(ad=0,ab=this.data.length;adan){an=ac}at[ac]=b.createStack(b.createBox(av));ai[ac]=-b.BIGDIMEN}au[ad][ac]=b.createBox(at[ac]);aJ.push(aB.data[ac-V].toHTML(au[ad][ac]))}}b.MeasureSpans(aJ);for(ad=0,ab=this.data.length;adao[ad]){ao[ad]=au[ad][ac].bbox.h}if(au[ad][ac].bbox.d>ar[ad]){ar[ad]=au[ad][ac].bbox.d}if(au[ad][ac].bbox.w>ai[ac]){ai[ac]=au[ad][ac].bbox.w}}}if(ao[0]+ar[0]){ao[0]=Math.max(ao[0],E)}if(ao[au.length-1]+ar[au.length-1]){ar[au.length-1]=Math.max(ar[au.length-1],L)}var aw=G.columnspacing.split(/ /),aL=G.rowspacing.split(/ /),e=G.columnalign.split(/ /),z=G.rowalign.split(/ /),d=G.columnlines.split(/ /),v=G.rowlines.split(/ /),aH=G.columnwidth.split(/ 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h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;gr){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 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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 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");s.document.write("
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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 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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 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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 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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 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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"); 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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("
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");s.document.write("
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");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. 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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="2.0.5";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 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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 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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("
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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 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k=this.HTMLspanElement();if(k.style.fontSize!=""){j.fontsize=k.style.fontSize}}if(j.fontsize&&!this.mathsize){j.mathsize=j.fontsize}if(j.scriptlevel!==0){if(j.scriptlevel>2){j.scriptlevel=2}l=Math.pow(this.Get("scriptsizemultiplier"),j.scriptlevel);j.scriptminsize=d.length2em(this.Get("scriptminsize"));if(l2){k.scriptlevel=2}j=Math.sqrt(Math.pow(k.scriptsizemultiplier,k.scriptlevel))}return j},HTMLgetVariant:function(){var j=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");j.hasVariant=this.Get("mathvariant",true);if(!j.hasVariant){j.family=j.fontfamily;j.weight=j.fontweight;j.style=j.fontstyle}if(this.style){var l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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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 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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 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n},createRule:function(q,m,o,r,k){if(m<-o){o=-m}var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em0&&(m+o)*this.em0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){if(p<-q){q=-p}var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var 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l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-((q[p][1]||{}).offsetLeft||0)}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p=0){o.style.width=this.Em(p);o.style.display="inline-block";o.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){o.style.height=""}o.style.marginLeft=this.Em(p);if(d.safariNegativeSpaceBug&&o.parentNode.firstChild==o){this.createBlank(o,0,true)}}if(l&&l!==f.COLOR.TRANSPARENT){o.style.backgroundColor=l;o.style.position="relative"}return o},createRule:function(q,m,o,r,k){if(m<-o){o=-m}var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em0&&(m+o)*this.em0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){if(p<-q){q=-p}var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=k.isMathJax=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;v=Math.round(v*this.em)/this.em;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}});if(d.chromeHeightBug){v-=(s.lastChild.offsetHeight-Math.round(v*this.em))/this.em}}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" 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q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(D.min&&sA){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}o.bbox=l.bbox;q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(D.min&&mt){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.cloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}l.bbox=j.bbox;this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{s-=(t-m)/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=(t-m)/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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Array){o=this.FONTDATA.VARIANT[w[1]];w=w[0]}if(typeof(w)==="string"){r=w+r.substr(A+1);A=0;x=r.length;w=w.charCodeAt(0)}}s=this.lookupChar(o,w);B=s[w];if(k||(!this.checkFont(s,j.style)&&!B[5].img)){if(y.length){this.addText(j,y);y=""}var v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);if(this.FONTDATA.DELIMITERS[q].dir==="V"){k.style.verticalAlign=this.Em(k.bbox.d);k.bbox.h+=k.bbox.d;k.bbox.d=0}k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var l=q-65536;o.c=String.fromCharCode((l>>10)+55296)+String.fromCharCode((l&1023)+56320)}}if(o.rfix){this.addText(k,o.c);d.createShift(k,o.rfix/1000);return""}if(r[2]||!this.msieAccentBug||p.length){return p+o.c}d.createShift(k,r[3]/1000);d.createShift(k,(r[4]-r[3])/1000);this.addText(k,o.c);d.createShift(k,-r[4]/1000);return""},handleImg:function(k,j,o,m,l){return l},lookupChar:function(o,r){var l,j;if(!o.FONTS){var q=this.FONTDATA.FONTS;var p=(o.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(p instanceof Array)){p=[p]}if(o.fonts!=p){o.fonts=p}o.FONTS=[];for(l=0,j=p.length;l=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");k.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;gr){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 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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 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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("
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");s.document.write("
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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 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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 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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("
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");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,u=b.SVG;var t=(r||q||u||{config:{scale:100}}).config.scale;var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){s=parseFloat(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}if(u){u.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 percentage (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.",Safari:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. 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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:(document.documentMode<9),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 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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 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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 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k=e.Element("span");k.style.cssText=this.style;this.styles={border:a.getBorders(k),padding:a.getPadding(k)};if(k.style.fontSize){this.styles.fontSize=k.style.fontSize}if(k.style.color){this.styles.color=k.style.color}if(k.style.backgroundColor){this.styles.background=k.style.backgroundColor}if(k.style.fontStyle){this.styles.fontStyle=k.style.fontStyle}if(k.style.fontWeight){this.styles.fontWeight=k.style.fontWeight}if(k.style.fontFamily){this.styles.fontFamily=k.style.fontFamily}if(this.styles.fontWeight&&this.styles.fontWeight.match(/^\d+$/)){this.styles.fontWeight=(parseInt(this.styles.fontWeight)>600?"bold":"normal")}}},SVGhandleSpace:function(n){if(this.useMMLspacing){if(this.type!=="mo"){return}var m=this.getValues("scriptlevel","lspace","rspace");if(m.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var l=this.SVGgetMu(n);m.lspace=Math.max(0,a.length2em(m.lspace,l));m.rspace=Math.max(0,a.length2em(m.rspace,l));var 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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("
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");s.document.write("
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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:(document.documentMode<9),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 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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 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");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
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");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. 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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 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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 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q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(D.min&&sA){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var 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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 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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("
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");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
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n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({Em:d.Px,unEm:d.unPx,chromeHeightBug:true,cloneNodeBug:true,rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End 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aj=b.FONTDATA.baselineskip*aC*G.useHeight,E=b.FONTDATA.lineH*aC,L=b.FONTDATA.lineD*aC;for(ad=0,ab=this.data.length;adan){an=ac}at[ac]=b.createStack(b.createBox(av));ai[ac]=-b.BIGDIMEN}au[ad][ac]=b.createBox(at[ac]);aJ.push(aB.data[ac-V].toHTML(au[ad][ac]))}}b.MeasureSpans(aJ);for(ad=0,ab=this.data.length;adao[ad]){ao[ad]=au[ad][ac].bbox.h}if(au[ad][ac].bbox.d>ar[ad]){ar[ad]=au[ad][ac].bbox.d}if(au[ad][ac].bbox.w>ai[ac]){ai[ac]=au[ad][ac].bbox.w}}}if(ao[0]+ar[0]){ao[0]=Math.max(ao[0],E)}if(ao[au.length-1]+ar[au.length-1]){ar[au.length-1]=Math.max(ar[au.length-1],L)}var aw=G.columnspacing.split(/ /),aL=G.rowspacing.split(/ /),e=G.columnalign.split(/ /),z=G.rowalign.split(/ /),d=G.columnlines.split(/ /),v=G.rowlines.split(/ /),aH=G.columnwidth.split(/ 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h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;gr){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 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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 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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("
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");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
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");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. 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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 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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 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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:(document.documentMode<9),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 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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/extensions/TeX/AMSmath.js b/extensions/TeX/AMSmath.js index 014cc8a43..b9070a871 100644 --- a/extensions/TeX/AMSmath.js +++ b/extensions/TeX/AMSmath.js @@ -12,5 +12,5 @@ * http://www.apache.org/licenses/LICENSE-2.0 */ -MathJax.Extension["TeX/AMSmath"]={version:"2.0",number:0,startNumber:0,labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(h){return h.join("em ")+"em"};d.Add({macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],intI:["Macro","\\mathchoice{\\!}{}{}{}\\!\\!\\int"],iiiint:["MultiIntegral","\\int\\intI\\intI\\intI"],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Macro","\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}}",1],ddddot:["Macro","\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}\\mathord{.}}",1],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["Macro","\\mathop{\\rm inj\\,lim}"],projlim:["Macro","\\mathop{\\rm proj\\,lim}"],varliminf:["Macro","\\mathop{\\underline{\\rm lim}}"],varlimsup:["Macro","\\mathop{\\overline{\\rm lim}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\rm lim\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\rm lim\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(j+" not allowed in "+k.notags+" environment")}if(k.tag){g.Error("Multiple "+j)}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(!f.refUpdate){if(j.label){g.Error("Multiple "+i+"'s")}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error("Label '"+h+"' mutiply defined")}f.eqlabels[h]="???"}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k="??";f.badref=!f.refUpdate}var h=k;if(l){h=a.formatTag(h)}if(a.useLabelIds){k=i}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(a.formatID(k)),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"\\limits":"");var 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"+k)}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=b.mfenced(j).With({open:k,close:p})}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error("Bad math style for "+i)}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return 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this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error("Erroneous nesting of equation structures")}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var 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j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error("Erroneous nesting of equation structures")}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error("Missing or unrecognized delimiter for "+h)}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var 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c={};c[a.VARIANT.NORMAL]=a.VARIANT.BOLD;c[a.VARIANT.ITALIC]=a.VARIANT.BOLDITALIC;c[a.VARIANT.FRAKTUR]=a.VARIANT.BOLDFRAKTUR;c[a.VARIANT.SCRIPT]=a.VARIANT.BOLDSCRIPT;c[a.VARIANT.SANSSERIF]=a.VARIANT.BOLDSANSSERIF;c["-tex-caligraphic"]="-tex-caligraphic-bold";c["-tex-oldstyle"]="-tex-oldstyle-bold";b.Add({macros:{boldsymbol:"Boldsymbol"}},null,true);d.Parse.Augment({mmlToken:function(f){if(this.stack.env.boldsymbol){var e=f.Get("mathvariant");if(e==null){f.mathvariant=a.VARIANT.BOLD}else{f.mathvariant=(c[e]||e)}}return f},Boldsymbol:function(h){var e=this.stack.env.boldsymbol,f=this.stack.env.font;this.stack.env.boldsymbol=true;this.stack.env.font=null;var g=this.ParseArg(h);this.stack.env.font=f;this.stack.env.boldsymbol=e;this.Push(g)}});MathJax.Hub.Startup.signal.Post("TeX boldsymbol Ready")});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var c=a.FONTDATA.FONTS;var 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b=MathJax.Extension["TeX/color"];b.TEX=d;d.Definitions.macros.color="Color";d.Definitions.macros.definecolor="DefineColor";d.Definitions.macros.colorbox="ColorBox";d.Definitions.macros.fcolorbox="fColorBox";d.Parse.Augment({Color:function(h){var g=this.GetBrackets(h),e=this.GetArgument(h);e=b.getColor(g,e);var f=c.style().With({styles:{mathcolor:e}});this.stack.env.color=e;this.Push(f)},DefineColor:function(g){var f=this.GetArgument(g),e=this.GetArgument(g),h=this.GetArgument(g);b.colors[f]=b.getColor(e,h)},ColorBox:function(g){var f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f)}).With(b.padding()))},fColorBox:function(g){var h=this.GetArgument(g),f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f),style:"border: "+b.config.border+" solid 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c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"\n"+this.data[0].toMathML(d+" ")+"\n"+d+""}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.0.1";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":" "));for(var f=0,c=this.data.length;f")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+""}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+""},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h126){e[f]="&#x"+h.toString(16).toUpperCase()+";"}else{var g={"&":"&","<":"<",">":">",'"':"""}[e[f]];if(g){e[f]=g}}}return e.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f\n"+g.join("\n")+"\n"+h+""}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f\n"+g.join("\n")+"\n"+h+""}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"\n"+this.data[0].toMathML(d+" ")+"\n"+d+""}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); diff --git a/jax/element/mml/jax.js b/jax/element/mml/jax.js index a517030fa..b40be3b94 100644 --- a/jax/element/mml/jax.js +++ b/jax/element/mml/jax.js @@ -12,5 +12,5 @@ * http://www.apache.org/licenses/LICENSE-2.0 */ -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"); +MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.0.4",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 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this.Core().HTMLmoveSlice(j,f,h,i,g)}})});a.maction.Augment({HTMLbetterBreak:function(g,f){return this.Core().HTMLbetterBreak(g,f)},HTMLmoveLine:function(j,f,h,i,g){return this.Core().HTMLmoveSlice(j,f,h,i,g)},HTMLmoveSlice:function(g,i,l,f,m,j){var o=document.getElementById("MathJax-HitBox-"+this.spanID+b.idPostfix);if(o){o.parentNode.removeChild(o)}var k=this.SUPER(arguments).HTMLmoveSlice.apply(this,arguments);if(i.length===0){l=this.HTMLspanElement();var h=0;while(l){o=this.HTMLhandleHitBox(l,"-Continue-"+h);l=l.nextMathJaxSpan;h++}}return k}});a.semantics.Augment({HTMLbetterBreak:function(g,f){return(this.data[0]?this.data[0].HTMLbetterBreak(g,f):false)},HTMLmoveLine:function(j,f,h,i,g){return(this.data[0]?this.data[0].HTMLmoveSlice(j,f,h,i,g):null)}});MathJax.Hub.Startup.signal.Post("HTML-CSS multiline Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/multiline.js")}); diff --git a/jax/output/HTML-CSS/config.js b/jax/output/HTML-CSS/config.js index 9f0d28bba..04348e953 100644 --- a/jax/output/HTML-CSS/config.js +++ b/jax/output/HTML-CSS/config.js @@ -12,5 +12,5 @@ * http://www.apache.org/licenses/LICENSE-2.0 */ -MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.0.1",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 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h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var 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j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" 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q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var 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Array){o=this.FONTDATA.VARIANT[w[1]];w=w[0]}if(typeof(w)==="string"){r=w+r.substr(A+1);A=0;x=r.length;w=w.charCodeAt(0)}}s=this.lookupChar(o,w);B=s[w];if(k||(!this.checkFont(s,j.style)&&!B[5].img)){if(y.length){this.addText(j,y);y=""}var v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.0.5",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,minScaleAdjust:50,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js"); diff --git a/jax/output/NativeMML/jax.js b/jax/output/NativeMML/jax.js index 670ae3b6a..a4421df57 100644 --- a/jax/output/NativeMML/jax.js +++ b/jax/output/NativeMML/jax.js @@ -12,5 +12,9 @@ * http://www.apache.org/licenses/LICENSE-2.0 */ +<<<<<<< HEAD (function(j,b,f,d){var e,h=b.Browser.isMSIE;var g,a,c,i;b.Register.StartupHook("MathZoom 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-MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.0",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:10,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); +MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.0.8",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:10,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px 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n=s.element.style;n.width=a.Ex(p+s.w+k);n.height=a.Ex(s.H+s.D);n.verticalAlign=a.Ex(-s.D-2*a.em);n.marginLeft=a.Ex(-p);n.marginRight=a.Ex(-k);s.element.setAttribute("viewBox",(-p)+" "+(-s.H)+" "+(p+s.w+k)+" "+(s.H+s.D));s.element.style.margin="1px 0px";if(s.H>s.h||s.D>s.d){var o=e.Element("span",{style:{display:"inline-block","white-space":"nowrap",padding:"1px 0px"},isMathJax:true},[["span",{style:{display:"inline-block",position:"relative",isMathJax:true,width:a.Ex(s.w),height:a.Ex(s.h+s.d),"vertical-align":a.Ex(-s.d)}}]]);o.firstChild.appendChild(s.element);s.element=o;n.verticalAlign="";n.position="absolute";n.bottom=a.Ex(s.d-s.D);n.left=0}t.appendChild(s.element);s.element=null;if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==g.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===g.INDENTALIGN.AUTO){u.indentalign=this.displayAlign}m.style.textAlign=u.indentalign;if(u.indentshiftfirst!==g.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift=this.displayIndent}if(u.indentshift&&u.indentalign!==g.INDENTALIGN.CENTER&&!s.hasIndent){t.style[{left:"marginLeft",right:"marginRight"}[u.indentalign]]=a.Ex(a.length2em(u.indentshift))}}}return t}});g.TeXAtom.Augment({toSVG:function(){this.SVGgetStyles();var k=this.SVG();this.SVGhandleSpace(k);if(this.data[0]!=null){var l=this.data[0].toSVG(),m=0;if(this.texClass===g.TEXCLASS.VCENTER){m=a.TeX.axis_height-(l.h+l.d)/2+l.d}k.Add(l,0,m);k.ic=l.ic}this.SVGhandleColor(k);this.SVGsaveData(k);return k}});c.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});c.Register.StartupHook("End Cookie",function(){if(c.config.menuSettings.zoom!=="None"){h.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(k,l){var m=(typeof(k)==="string"?document.createElement("svg:"+k):k);m.isMathJax=true;if(l){for(var n in l){if(l.hasOwnProperty(n)){m.setAttribute(n,l[n].toString())}}}return m}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG); diff --git a/unpacked/MathJax.js b/unpacked/MathJax.js index b8a38c199..b24d43bf1 100644 --- a/unpacked/MathJax.js +++ b/unpacked/MathJax.js @@ -30,7 +30,7 @@ if (!window.MathJax) {window.MathJax= {}} if (!MathJax.Hub) { // skip if already loaded MathJax.version = "2.0"; -MathJax.fileversion = "2.0.3"; +MathJax.fileversion = "2.0.6"; /**********************************************************/ @@ -966,6 +966,7 @@ MathJax.HTML = { MathJax.Hub.Insert(obj,def); } if (contents) { + if (!(contents instanceof Array)) {contents = [contents]} for (var i = 0; i < contents.length; i++) { if (contents[i] instanceof Array) { obj.appendChild(this.Element(contents[i][0],contents[i][1],contents[i][2])); @@ -1240,7 +1241,7 @@ MathJax.Hub = { skipStartupTypeset: false, // set to true to skip PreProcess and Process during startup "v1.0-compatible": true, // set to false to prevent message about configuration change elements: [], // array of elements to process when none is given explicitly - positionToHash: false, // after initial typeset pass, position to #hash location? + positionToHash: true, // after initial typeset pass, position to #hash location? showMathMenu: true, // attach math context menu to typeset math? showMathMenuMSIE: true, // separtely determine if MSIE should have math menu @@ -1684,6 +1685,7 @@ MathJax.Hub = { script.parentNode.insertBefore(error,script); if (script.MathJax.preview) {script.MathJax.preview.innerHTML = ""} this.lastError = err; + this.signal.Post(["Math Processing Error",script,err]); }, RestartAfter: function (callback) { @@ -1862,8 +1864,9 @@ MathJax.Hub.Startup = { var config = MathJax.Hub.config, jax = MathJax.Hub.outputJax; // Save the order of the output jax since they are loading asynchronously for (var i = 0, m = config.jax.length, k = 0; i < m; i++) { - if (config.jax[i].substr(0,7) === "output/") - {jax.order[config.jax[i].substr(7)] = k; k++} + var name = config.jax[i].substr(7); + if (config.jax[i].substr(0,7) === "output/" && jax.order[name] == null) + {jax.order[name] = k; k++} } var queue = MathJax.Callback.Queue(); return queue.Push( @@ -1911,8 +1914,17 @@ MathJax.Hub.Startup = { // Set the location to the designated hash position // Hash: function () { - if (MathJax.Hub.config.positionToHash && document.location.hash) - {setTimeout("document.location = document.location.hash",1)} + if (MathJax.Hub.config.positionToHash && document.location.hash && + document.body && document.body.scrollIntoView) { + var name = document.location.hash.substr(1); + var target = document.getElementById(name); + if (!target) { + var a = document.getElementsByTagName("a"); + for (var i = 0, m = a.length; i < m; i++) + {if (a[i].name === name) {target = a[i]; break}} + } + if (target) {setTimeout(function () {target.scrollIntoView(true)},1)} + } }, // @@ -1939,7 +1951,7 @@ MathJax.Hub.Startup = { // // Setup the onload callback // - onLoad: function (when) { + onLoad: function () { var onload = this.onload = MathJax.Callback(function () {MathJax.Hub.Startup.signal.Post("onLoad")}); if (document.body && document.readyState && document.readyState !== "loading") {return [onload]} diff --git a/unpacked/extensions/HTML-CSS/handle-floats.js b/unpacked/extensions/HTML-CSS/handle-floats.js index 5e310729e..81de98b65 100644 --- a/unpacked/extensions/HTML-CSS/handle-floats.js +++ b/unpacked/extensions/HTML-CSS/handle-floats.js @@ -33,8 +33,8 @@ */ -MathJAx.Extension["HTML-CSS/handle-floats"] = { - version: "2.0" +MathJax.Extension["HTML-CSS/handle-floats"] = { + version: "2.0.1" }; // diff --git a/unpacked/extensions/MathMenu.js b/unpacked/extensions/MathMenu.js index 6377a79d7..6a34a7e07 100644 --- a/unpacked/extensions/MathMenu.js +++ b/unpacked/extensions/MathMenu.js @@ -24,7 +24,7 @@ */ (function (HUB,HTML,AJAX,CALLBACK,OUTPUT) { - var VERSION = "2.0.2"; + var VERSION = "2.0.5"; var SIGNAL = MathJax.Callback.Signal("menu") // signal for menu events @@ -609,7 +609,7 @@ ]]); MENU.About.div = MENU.Background(MENU.About); var about = HTML.addElement(MENU.About.div,"div",{ - id: "MathJax_About", onclick: MENU.About.Remove + id: "MathJax_About" },[ ["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"], "using "+font,["br"],["br"], @@ -618,7 +618,12 @@ "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"]] + ["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 + }] ]); var doc = (document.documentElement||{}); var H = window.innerHeight || doc.clientHeight || doc.scrollHeight || 0; @@ -666,7 +671,7 @@ // toMathML() can call MathJax.Hub.RestartAfter, so trap errors and check try {MENU.ShowSource.Text(MENU.jax.root.toMathML(),event)} catch (err) { if (!err.restart) {throw err} - CALLBACK.After([this,MENU.ShowSource,EVENT]); + CALLBACK.After([this,MENU.ShowSource,EVENT],err.restart); } } else if (!AJAX.loadingToMathML) { AJAX.loadingToMathML = true; @@ -729,21 +734,22 @@ * Handle rescaling all the math */ MENU.Scale = function () { - var HTMLCSS = OUTPUT["HTML-CSS"], nMML = OUTPUT.NativeMML; - var SCALE = (HTMLCSS ? HTMLCSS.config.scale : nMML.config.scale); + var HTMLCSS = OUTPUT["HTML-CSS"], nMML = OUTPUT.NativeMML, SVG = OUTPUT.SVG; + var SCALE = (HTMLCSS||nMML||SVG||{config:{scale:100}}).config.scale; var scale = prompt("Scale all mathematics (compared to surrounding text) by",SCALE+"%"); if (scale) { - if (scale.match(/^\s*\d+\s*%?\s*$/)) { - scale = parseInt(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("The scale should not be zero")} - } else {alert("The scale should be a perentage (e.g., 120%)")} + } else {alert("The scale should be a percentage (e.g., 120%)")} } }; @@ -805,8 +811,11 @@ Opera: "Opera's support for MathML is limited, so switching to " + "MathML output may cause some expressions to render poorly.", + Safari: "Your browser's native MathML does not implement all the features " + + "used by MathJax, so some expressions may not render properly.", + Firefox: "Your browser's native MathML does not implement all the features " + - "used by MathJax, so some expressions may render improperly." + "used by MathJax, so some expressions may not render properly." }, SVG: { diff --git a/unpacked/extensions/TeX/AMSmath.js b/unpacked/extensions/TeX/AMSmath.js index 969844818..f702f9ba1 100644 --- a/unpacked/extensions/TeX/AMSmath.js +++ b/unpacked/extensions/TeX/AMSmath.js @@ -22,7 +22,7 @@ */ MathJax.Extension["TeX/AMSmath"] = { - version: "2.0", + version: "2.0.2", number: 0, // current equation number startNumber: 0, // current starting equation number (for when equation is restarted) @@ -46,6 +46,10 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { /******************************************************************************/ TEXDEF.Add({ + mathchar0mo: { + iiiint: ['2A0C',{texClass: MML.TEXCLASS.OP}] + }, + macros: { mathring: ['Accent','2DA'], // or 0x30A @@ -53,14 +57,16 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { negmedspace: ['Spacer',MML.LENGTH.NEGATIVEMEDIUMMATHSPACE], negthickspace: ['Spacer',MML.LENGTH.NEGATIVETHICKMATHSPACE], - intI: ['Macro','\\mathchoice{\\!}{}{}{}\\!\\!\\int'], +// intI: ['Macro','\\mathchoice{\\!}{}{}{}\\!\\!\\int'], // iint: ['MultiIntegral','\\int\\intI'], // now in core TeX input jax // iiint: ['MultiIntegral','\\int\\intI\\intI'], // now in core TeX input jax - iiiint: ['MultiIntegral','\\int\\intI\\intI\\intI'], +// iiiint: ['MultiIntegral','\\int\\intI\\intI\\intI'], // now in mathchar0mo above idotsint: ['MultiIntegral','\\int\\cdots\\int'], - dddot: ['Macro','\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}}',1], - ddddot: ['Macro','\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}\\mathord{.}}',1], +// dddot: ['Macro','\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}}',1], +// ddddot: ['Macro','\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}\\mathord{.}}',1], + dddot: ['Accent','20DB'], + ddddot: ['Accent','20DC'], sideset: ['Macro','\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}',3], @@ -74,12 +80,12 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { substack: ['Macro','\\begin{subarray}{c}#1\\end{subarray}',1], - injlim: ['Macro','\\mathop{\\rm inj\\,lim}'], - projlim: ['Macro','\\mathop{\\rm proj\\,lim}'], - varliminf: ['Macro','\\mathop{\\underline{\\rm lim}}'], - varlimsup: ['Macro','\\mathop{\\overline{\\rm lim}}'], - varinjlim: ['Macro','\\mathop{\\underrightarrow{\\rm lim\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}'], - varprojlim: ['Macro','\\mathop{\\underleftarrow{\\rm lim\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}'], + injlim: ['NamedOp','inj lim'], + projlim: ['NamedOp','proj lim'], + varliminf: ['Macro','\\mathop{\\underline{\\mmlToken{mi}{lim}}}'], + varlimsup: ['Macro','\\mathop{\\overline{\\mmlToken{mi}{lim}}}'], + varinjlim: ['Macro','\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}'], + varprojlim: ['Macro','\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}'], DeclareMathOperator: 'HandleDeclareOp', operatorname: 'HandleOperatorName', @@ -121,7 +127,10 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { smallmatrix: ['Array',null,null,null,'c',COLS([1/3]),".2em",'S',1], 'equation': ['EquationBegin','Equation',true], - 'equation*': ['EquationBegin','EquationStar',false] + 'equation*': ['EquationBegin','EquationStar',false], + + eqnarray: ['AMSarray',null,true,true, 'rcl',MML.LENGTH.THICKMATHSPACE,".5em"], + 'eqnarray*': ['AMSarray',null,false,true,'rcl',MML.LENGTH.THICKMATHSPACE,".5em"] }, delimiter: { @@ -159,6 +168,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { */ HandleLabel: function (name) { var global = this.stack.global, label = this.GetArgument(name); + if (label === "") return; if (!AMS.refUpdate) { if (global.label) {TEX.Error("Multiple "+name+"'s")} global.label = label; @@ -462,7 +472,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { EndRow: function () { var mtr = MML.mtr; if (!this.global.tag && this.numbered) {this.autoTag()} - if (this.global.tag &&! this.global.notags) { + if (this.global.tag && !this.global.notags) { this.row = [this.getTag()].concat(this.row); mtr = MML.mlabeledtr; } diff --git a/unpacked/extensions/TeX/AMSsymbols.js b/unpacked/extensions/TeX/AMSsymbols.js index af05401ee..17580019e 100644 --- a/unpacked/extensions/TeX/AMSsymbols.js +++ b/unpacked/extensions/TeX/AMSsymbols.js @@ -22,7 +22,7 @@ */ MathJax.Extension["TeX/AMSsymbols"] = { - version: "2.0" + version: "2.0.1" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { @@ -55,22 +55,22 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { daleth: '2138', // Miscellaneous symbols -// hbar: '0127', // in MathJax_Main +// hbar: '0127', // in TeX/jax.js backprime: ['2035',{variantForm: true}], - hslash: ['210F',{variantForm: true}], + hslash: '210F', varnothing: ['2205',{variantForm: true}], - blacktriangle: '25B2', - triangledown: '25BD', - blacktriangledown: '25BC', - square: '25A1', - Box: '25A1', - blacksquare: '25A0', + blacktriangle: '25B4', + triangledown: ['25BD',{variantForm: true}], + blacktriangledown: '25BE', + square: '25FB', + Box: '25FB', + blacksquare: '25FC', lozenge: '25CA', Diamond: '25CA', blacklozenge: '29EB', circledS: ['24C8',{mathvariant: MML.VARIANT.NORMAL}], bigstar: '2605', -// angle: '2220', // in MathJax_Main +// angle: '2220', // in TeX/jax.js sphericalangle: '2222', measuredangle: '2221', nexists: '2204', @@ -93,7 +93,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { // Binary operators dotplus: '2214', ltimes: '22C9', - smallsetminus: ['2216',{variantForm: true}], + smallsetminus: '2216', rtimes: '22CA', Cap: '22D2', doublecap: '22D2', @@ -187,8 +187,8 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { pitchfork: '22D4', varpropto: '221D', backepsilon: '220D', - blacktriangleleft: '25C0', - blacktriangleright: '25B6', + blacktriangleleft: '25C2', + blacktriangleright: '25B8', therefore: '2234', because: '2235', eqsim: '2242', @@ -343,59 +343,4 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { }); -MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { - var HTMLCSS = MathJax.OutputJax["HTML-CSS"]; - var VARIANT = HTMLCSS.FONTDATA.VARIANT; - if (HTMLCSS.fontInUse === "TeX") { - VARIANT["-TeX-variant"] = { - fonts: ["MathJax_AMS","MathJax_Main","MathJax_Size1"], - remap: {0x2268: 0xE00C, 0x2269: 0xE00D, 0x2270: 0xE011, 0x2271: 0xE00E, - 0x2A87: 0xE010, 0x2A88: 0xE00F, 0x2224: 0xE006, 0x2226: 0xE007, - 0x2288: 0xE016, 0x2289: 0xE018, 0x228A: 0xE01A, 0x228B: 0xE01B, - 0x2ACB: 0xE017, 0x2ACC: 0xE019, 0x03DC: 0xE008, 0x03F0: 0xE009} - }; - if (HTMLCSS.msieIE6) { - MathJax.Hub.Insert(VARIANT["-TeX-variant"].remap,{ - 0x2190:[0xE2C1,"-WinIE6"], 0x2192:[0xE2C0,"-WinIE6"], - 0x2223:[0xE2C2,"-WinIE6"], 0x2225:[0xE2C3,"-WinIE6"], - 0x223C:[0xE2C4,"-WinIE6"], 0x25B3:[0xE2D3,"-WinIE6"] - }); - } - } - if (HTMLCSS.fontInUse === "STIX") { - MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { - var TEXDEF = MathJax.InputJax.TeX.Definitions; - TEXDEF.mathchar0mi.varnothing = '2205'; - TEXDEF.mathchar0mi.hslash = '210F'; - TEXDEF.mathchar0mi.blacktriangle = '25B4'; - TEXDEF.mathchar0mi.blacktriangledown = '25BE'; - TEXDEF.mathchar0mi.square = '25FB'; - TEXDEF.mathchar0mi.blacksquare = '25FC'; - TEXDEF.mathchar0mi.vartriangle = ['25B3',{mathsize:"71%"}]; - TEXDEF.mathchar0mi.triangledown = ['25BD',{mathsize:"71%"}]; - TEXDEF.mathchar0mo.blacktriangleleft = '25C2'; - TEXDEF.mathchar0mo.blacktriangleright = '25B8'; - TEXDEF.mathchar0mo.smallsetminus = '2216'; - MathJax.Hub.Insert(VARIANT["-STIX-variant"],{ - remap: {0x2A87: 0xE010, 0x2A88: 0xE00F, 0x2270: 0xE011, 0x2271: 0xE00E, - 0x22E0: 0xE04B, 0x22E1: 0xE04F, 0x2288: 0xE016, 0x2289: 0xE018} - }); - }); - } - -}); - -MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { - var SVG = MathJax.OutputJax.SVG; - var VARIANT = SVG.FONTDATA.VARIANT; - - VARIANT["-TeX-variant"] = { - fonts: ["MathJax_AMS","MathJax_Main","MathJax_Size1"], - remap: {0x2268: 0xE00C, 0x2269: 0xE00D, 0x2270: 0xE011, 0x2271: 0xE00E, - 0x2A87: 0xE010, 0x2A88: 0xE00F, 0x2224: 0xE006, 0x2226: 0xE007, - 0x2288: 0xE016, 0x2289: 0xE018, 0x228A: 0xE01A, 0x228B: 0xE01B, - 0x2ACB: 0xE017, 0x2ACC: 0xE019, 0x03DC: 0xE008, 0x03F0: 0xE009} - }; -}); - MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js"); diff --git a/unpacked/extensions/TeX/HTML.js b/unpacked/extensions/TeX/HTML.js index bcdb158b1..768dcad90 100644 --- a/unpacked/extensions/TeX/HTML.js +++ b/unpacked/extensions/TeX/HTML.js @@ -22,7 +22,7 @@ */ MathJax.Extension["TeX/HTML"] = { - version: "2.0" + version: "2.0.1" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { @@ -37,7 +37,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { style: 'STYLE_attribute', cssId: 'ID_attribute' } - }); + },null,true); TEX.Parse.Augment({ diff --git a/unpacked/extensions/TeX/action.js b/unpacked/extensions/TeX/action.js index c7fd19fbf..0adea75fb 100644 --- a/unpacked/extensions/TeX/action.js +++ b/unpacked/extensions/TeX/action.js @@ -32,7 +32,7 @@ */ MathJax.Extension["TeX/action"] = { - version: "2.0" + version: "2.0.1" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { @@ -42,9 +42,13 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { // // Set up control sequenecs // - TEX.Definitions.macros.toggle = 'Toggle'; - TEX.Definitions.macros.mathtip = 'Mathtip'; - TEX.Definitions.macros.texttip = ['Macro','\\mathtip{#1}{\\text{#2}}',2]; + TEX.Definitions.Add({ + macros: { + toggle: 'Toggle', + mathtip: 'Mathtip', + texttip: ['Macro','\\mathtip{#1}{\\text{#2}}',2] + } + },null,true); TEX.Parse.Augment({ diff --git a/unpacked/extensions/TeX/autoload-all.js b/unpacked/extensions/TeX/autoload-all.js index dc08642c8..8b1268ff1 100644 --- a/unpacked/extensions/TeX/autoload-all.js +++ b/unpacked/extensions/TeX/autoload-all.js @@ -23,14 +23,10 @@ */ MathJax.Extension["TeX/autoload-all"] = { - version: "2.0" + version: "2.0.3" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { - var TEX = MathJax.InputJax.TeX, - MACROS = TEX.Definitions.macros, - ENVS = TEX.Definitions.environment; - var EXTENSIONS = { action: ["mathtip","texttip","toggle"], @@ -42,24 +38,36 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { "shoveleft","shoveright","xrightarrow","xleftarrow"], begingroup: ["begingroup","endgroup","gdef","global"], cancel: ["cancel","bcancel","xcancel","cancelto"], - color: ["color","colorbox","fcolorbox","DefineColor"], + color: ["color","textcolor","colorbox","fcolorbox","DefineColor"], enclose: ["enclose"], extpfeil: ["Newextarrow","xlongequal","xmapsto","xtofrom", "xtwoheadleftarrow","xtwoheadrightarrow"], mhchem: ["ce","cee","cf"] }; - for (var name in EXTENSIONS) {if (EXTENSIONS.hasOwnProperty(name)) { - var macros = EXTENSIONS[name]; - for (var i = 0, m = macros.length; i < m; i++) { - MACROS[macros[i]] = ["Extension",name]; + var ENVIRONMENTS = { + AMSmath: ["subarray","smallmatrix","equation","equation*"] + }; + + var name, i, m, defs = {macros:{}, environment:{}}; + + for (name in EXTENSIONS) {if (EXTENSIONS.hasOwnProperty(name)) { + if (!MathJax.Extension["TeX/"+name]) { + var macros = EXTENSIONS[name]; + for (i = 0, m = macros.length; i < m; i++) + {defs.macros[macros[i]] = ["Extension",name]} } }} - ENVS["subarray"] = ['ExtensionEnv',null,'AMSmath']; - ENVS["smallmatrix"] = ['ExtensionEnv',null,'AMSmath']; - ENVS["equation"] = ['ExtensionEnv',null,'AMSmath']; - ENVS["equation*"] = ['ExtensionEnv',null,'AMSmath']; + for (name in ENVIRONMENTS) {if (ENVIRONMENTS.hasOwnProperty(name)) { + if (!MathJax.Extension["TeX/"+name]) { + var envs = ENVIRONMENTS[name]; + for (i = 0, m = envs.length; i < m; i++) + {defs.environment[envs[i]] = ["ExtensionEnv",null,name]} + } + }} + + MathJax.InputJax.TeX.Definitions.Add(defs); MathJax.Hub.Startup.signal.Post("TeX autoload-all Ready"); diff --git a/unpacked/extensions/TeX/bbox.js b/unpacked/extensions/TeX/bbox.js index 6bea56e82..b1eccf18a 100644 --- a/unpacked/extensions/TeX/bbox.js +++ b/unpacked/extensions/TeX/bbox.js @@ -43,15 +43,15 @@ */ MathJax.Extension["TeX/bbox"] = { - version: "2.0" + version: "2.0.1" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { var TEX = MathJax.InputJax.TeX, MML = MathJax.ElementJax.mml; - - TEX.Definitions.macros.bbox = "BBox"; + + TEX.Definitions.Add({macros: {bbox: "BBox"}},null,true); TEX.Parse.Augment({ BBox: function (name) { diff --git a/unpacked/extensions/TeX/begingroup.js b/unpacked/extensions/TeX/begingroup.js index 5c542a16b..e15bff919 100644 --- a/unpacked/extensions/TeX/begingroup.js +++ b/unpacked/extensions/TeX/begingroup.js @@ -23,7 +23,7 @@ */ MathJax.Extension["TeX/begingroup"] = { - version: "2.0" + version: "2.0.1" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { @@ -100,7 +100,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { // Init: function (eqn) { this.isEqn = eqn; this.stack = []; - if (!eqn) {this.Push(NSFRAME(TEXDEF.macros,TEXDEF.environments))} + if (!eqn) {this.Push(NSFRAME(TEXDEF.macros,TEXDEF.environment))} else {this.Push(NSFRAME())} }, // @@ -186,10 +186,14 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { // // Define the new macros // - TEXDEF.macros.begingroup = "BeginGroup"; - TEXDEF.macros.endgroup = "EndGroup"; - TEXDEF.macros.global = ["Extension","newcommand"]; - TEXDEF.macros.gdef = ["Extension","newcommand"]; + TEXDEF.Add({ + macros: { + begingroup: "BeginGroup", + endgroup: "EndGroup", + global: ["Extension","newcommand"], + gdef: ["Extension","newcommand"] + } + },null,true); TEX.Parse.Augment({ // @@ -257,8 +261,12 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { // // Add the commands that depend on the newcommand code // - TEXDEF.macros.global = "Global"; - TEXDEF.macros.gdef = ["Macro","\\global\\def"]; + TEXDEF.Add({ + macros: { + global: "Global", + gdef: ["Macro","\\global\\def"] + } + },null,true); TEX.Parse.Augment({ // diff --git a/unpacked/extensions/TeX/boldsymbol.js b/unpacked/extensions/TeX/boldsymbol.js index cf42cd312..68cf86d07 100644 --- a/unpacked/extensions/TeX/boldsymbol.js +++ b/unpacked/extensions/TeX/boldsymbol.js @@ -23,7 +23,7 @@ */ MathJax.Extension["TeX/boldsymbol"] = { - version: "2.0" + version: "2.0.1" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { @@ -41,7 +41,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { BOLDVARIANT["-tex-caligraphic"] = "-tex-caligraphic-bold"; BOLDVARIANT["-tex-oldstyle"] = "-tex-oldstyle-bold"; - TEXDEF.macros.boldsymbol = 'Boldsymbol'; + TEXDEF.Add({macros: {boldsymbol: 'Boldsymbol'}},null,true); TEX.Parse.Augment({ mmlToken: function (token) { diff --git a/unpacked/extensions/TeX/cancel.js b/unpacked/extensions/TeX/cancel.js index 4731f8c99..f929f2235 100644 --- a/unpacked/extensions/TeX/cancel.js +++ b/unpacked/extensions/TeX/cancel.js @@ -29,7 +29,7 @@ */ MathJax.Extension["TeX/cancel"] = { - version: "2.0", + version: "2.0.1", // // The attributes allowed in \enclose{notation}[attributes]{math} @@ -45,7 +45,6 @@ MathJax.Extension["TeX/cancel"] = { MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { var TEX = MathJax.InputJax.TeX, - MACROS = TEX.Definitions.macros, MML = MathJax.ElementJax.mml, CANCEL = MathJax.Extension["TeX/cancel"]; @@ -65,12 +64,16 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { }; // - // Set up macro + // Set up macros // - MACROS.cancel = ['Cancel',MML.NOTATION.UPDIAGONALSTRIKE]; - MACROS.bcancel = ['Cancel',MML.NOTATION.DOWNDIAGONALSTRIKE]; - MACROS.xcancel = ['Cancel',MML.NOTATION.UPDIAGONALSTRIKE+" "+MML.NOTATION.DOWNDIAGONALSTRIKE]; - MACROS.cancelto = 'CancelTo'; + TEX.Definitions.Add({ + macros: { + cancel: ['Cancel',MML.NOTATION.UPDIAGONALSTRIKE], + bcancel: ['Cancel',MML.NOTATION.DOWNDIAGONALSTRIKE], + xcancel: ['Cancel',MML.NOTATION.UPDIAGONALSTRIKE+" "+MML.NOTATION.DOWNDIAGONALSTRIKE], + cancelto: 'CancelTo' + } + },null,true); TEX.Parse.Augment({ // diff --git a/unpacked/extensions/TeX/color.js b/unpacked/extensions/TeX/color.js index 0945f37c9..cbd61cfbf 100644 --- a/unpacked/extensions/TeX/color.js +++ b/unpacked/extensions/TeX/color.js @@ -2,9 +2,10 @@ * * MathJax/extensions/TeX/color.js * - * Implements LaTeX-compatible \color macro rather than MathJax's - * original (non-standard) version. It includes the rgb, gray, and - * named color models, and the \definecolor macro. + * Implements LaTeX-compatible \color macro rather than MathJax's original + * (non-standard) version. It includes the rgb, RGB, gray, and named color + * models, and the \textcolor, \definecolor, \colorbox, and \fcolorbox + * macros. * * --------------------------------------------------------------------- * @@ -27,7 +28,7 @@ // The configuration defaults, augmented by the user settings // MathJax.Extension["TeX/color"] = { - version: "2.0", + version: "2.0.2", config: MathJax.Hub.CombineConfig("TeX.color",{ padding: "5px", @@ -116,21 +117,37 @@ MathJax.Extension["TeX/color"] = { }, /* - * Get an RGB color + * Get an rgb color */ get_rgb: function (rgb) { rgb = rgb.split(/,/); var RGB = "#"; - if (rgb.length !== 3) {this.TEX.Error("RGB colors require 3 decimal numbers")} + if (rgb.length !== 3) {this.TEX.Error("rgb colors require 3 decimal numbers")} for (var i = 0; i < 3; i++) { if (!rgb[i].match(/^(\d+(\.\d*)?|\.\d+)$/)) {this.TEX.Error("Invalid decimal number")} var n = parseFloat(rgb[i]); - if (n < 0 || n > 1) {this.TEX.Error("RGB values must be between 0 and 1")} + if (n < 0 || n > 1) {this.TEX.Error("rgb values must be between 0 and 1")} n = Math.floor(n*255).toString(16); if (n.length < 2) {n = "0"+n} RGB += n; } return RGB; }, + /* + * Get an RGB color + */ + get_RGB: function (rgb) { + rgb = rgb.split(/,/); var RGB = "#"; + if (rgb.length !== 3) {this.TEX.Error("RGB colors require 3 numbers")} + for (var i = 0; i < 3; i++) { + if (!rgb[i].match(/^\d+$/)) {this.TEX.Error("Invalid number")} + var n = parseInt(rgb[i]); + if (n > 255) {this.TEX.Error("RGB values must be between 0 and 255")} + n = n.toString(16); if (n.length < 2) {n = "0"+n} + RGB += n; + } + return RGB; + }, + /* * Get a gray-scale value */ @@ -166,11 +183,16 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { var COLOR = MathJax.Extension["TeX/color"]; COLOR.TEX = TEX; // for reference in getColor above - - TEX.Definitions.macros.color = "Color"; - TEX.Definitions.macros.definecolor = "DefineColor"; - TEX.Definitions.macros.colorbox = "ColorBox"; - TEX.Definitions.macros.fcolorbox = "fColorBox"; + + TEX.Definitions.Add({ + macros: { + color: "Color", + textcolor: "TextColor", + definecolor: "DefineColor", + colorbox: "ColorBox", + fcolorbox: "fColorBox" + } + },null,true); TEX.Parse.Augment({ @@ -185,6 +207,16 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { this.stack.env.color = color; this.Push(mml); }, + + TextColor: function (name) { + var model = this.GetBrackets(name), + color = this.GetArgument(name); + color = COLOR.getColor(model,color); + var old = this.stack.env.color; this.stack.env.color = color; + var math = this.ParseArg(name); + if (old) {this.stack.env.color} else {delete this.stack.env.color} + this.Push(MML.mstyle(math).With({mathcolor: color})); + }, // // Define the \definecolor macro diff --git a/unpacked/extensions/TeX/enclose.js b/unpacked/extensions/TeX/enclose.js index 7eff9576c..4d8075642 100644 --- a/unpacked/extensions/TeX/enclose.js +++ b/unpacked/extensions/TeX/enclose.js @@ -29,7 +29,7 @@ */ MathJax.Extension["TeX/enclose"] = { - version: "2.0", + version: "2.0.1", // // The attributes allowed in \enclose{notation}[attributes]{math} @@ -51,7 +51,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { // // Set up macro // - TEX.Definitions.macros.enclose = 'Enclose'; + TEX.Definitions.Add({macros: {enclose: 'Enclose'}},null,true); TEX.Parse.Augment({ // diff --git a/unpacked/extensions/TeX/extpfeil.js b/unpacked/extensions/TeX/extpfeil.js index 5b1c3f5d2..1901225b2 100644 --- a/unpacked/extensions/TeX/extpfeil.js +++ b/unpacked/extensions/TeX/extpfeil.js @@ -22,7 +22,7 @@ */ MathJax.Extension["TeX/extpfeil"] = { - version: "2.0" + version: "2.0.1" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { @@ -34,7 +34,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { // Define the arrows to load the AMSmath extension // (since they need its xArrow method) // - MathJax.Hub.Insert(TEXDEF,{ + TEXDEF.Add({ macros: { xtwoheadrightarrow: ['Extension','AMSmath'], xtwoheadleftarrow: ['Extension','AMSmath'], @@ -43,7 +43,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { xtofrom: ['Extension','AMSmath'], Newextarrow: ['Extension','AMSmath'] } - }); + },null,true); // // Redefine the macros when AMSmath is loaded diff --git a/unpacked/extensions/TeX/mathchoice.js b/unpacked/extensions/TeX/mathchoice.js index da4e35502..6a8ad9833 100644 --- a/unpacked/extensions/TeX/mathchoice.js +++ b/unpacked/extensions/TeX/mathchoice.js @@ -22,16 +22,15 @@ */ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { - var VERSION = "2.0"; + var VERSION = "2.0.1"; var MML = MathJax.ElementJax.mml; var TEX = MathJax.InputJax.TeX; var TEXDEF = TEX.Definitions; - TEXDEF.macros.mathchoice = 'MathChoice'; + TEXDEF.Add({macros: {mathchoice: 'MathChoice'}},null,true); TEX.Parse.Augment({ - MathChoice: function (name) { var D = this.ParseArg(name), T = this.ParseArg(name), @@ -39,7 +38,6 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { SS = this.ParseArg(name); this.Push(MML.TeXmathchoice(D,T,S,SS)); } - }); MML.TeXmathchoice = MML.mbase.Subclass({ diff --git a/unpacked/extensions/TeX/mhchem.js b/unpacked/extensions/TeX/mhchem.js index 5326885f0..98f4535d1 100644 --- a/unpacked/extensions/TeX/mhchem.js +++ b/unpacked/extensions/TeX/mhchem.js @@ -23,13 +23,12 @@ */ MathJax.Extension["TeX/mhchem"] = { - version: "2.0" + version: "2.0.1" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { - var TEX = MathJax.InputJax.TeX, - MACROS = TEX.Definitions.macros; + var TEX = MathJax.InputJax.TeX; /* * This is the main class for handing the \ce and related commands. @@ -81,6 +80,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { '<->': "leftrightarrow", '<=>': "rightleftharpoons", '<=>>': "Rightleftharpoons", + '<<=>': "Leftrightharpoons", '^': "uparrow", 'v': "downarrow" }, @@ -136,7 +136,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { }, // - // Make a number of fraction preceeding an atom, + // Make a number or fraction preceeding an atom, // or a subscript for an atom. // ParseNumber: function () { @@ -204,7 +204,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { // ParseLess: function (c) { this.FinishAtom(); - var arrow = this.Match(/^(<->?|<=>>?)/); + var arrow = this.Match(/^(<->?|<=>>?|<<=>)/); if (!arrow) {this.tex += c; this.i++} else {this.AddArrow(arrow)} }, @@ -215,7 +215,8 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { c = this.string.charAt(++this.i); if (c === "{") { this.i++; var m = this.Find("}"); - if (m === "-.") {this.sup += "{-}{\\cdot}"} else if (m) {this.sup += CE(m).Parse()} + if (m === "-.") {this.sup += "{-}{\\cdot}"} + else if (m) {this.sup += CE(m).Parse().replace(/^\{-\}/,"-")} } else if (c === " " || c === "") { this.tex += "{\\"+this.Arrows["^"]+"}"; this.i++; } else { @@ -228,7 +229,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { // ParseSubscript: function (c) { if (this.string.charAt(++this.i) == "{") { - this.i++; this.sub += CE(this.Find("}")).Parse(); + this.i++; this.sub += CE(this.Find("}")).Parse().replace(/^\{-\}/,"-"); } else { var n = this.Match(/^\d+/); if (n) {this.sub += n} @@ -300,15 +301,15 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { // // right-justify super- and subscripts when they are before the atom // - var n = Math.abs(this.sup.length-this.sub.length); - if (n) { - var zeros = "0000000000".substr(0,n); - var script = (this.sup.length > this.sub.length ? "sub" : "sup"); - this[script] = "\\phantom{"+zeros+"}" + this[script]; - } + var sup = this.sup, sub = this.sub; + if (!sup.match(/\d/)) {sup += "\\vphantom{0}"} // force common heights + if (!sub.match(/\d/)) {sub += "\\vphantom{0}"} + this.tex += "\\raise 1pt{\\scriptstyle\\begin{CEscriptstack}"+sup+"\\\\"+ + sub+"\\end{CEscriptstack}}\\kern-.125em "; + } else { + if (!this.sup) {this.sup = "\\Space{0pt}{0pt}{.2em}"} // forces subscripts to align properly + this.tex += "^{"+this.sup+"}_{"+this.sub+"}"; } - if (!this.sup) {this.sup = "\\Space{0pt}{0pt}{.2em}"} // forces subscripts to align properly - this.tex += "^{"+this.sup+"}_{"+this.sub+"}"; this.sup = this.sub = ""; } this.atom = false; @@ -358,37 +359,77 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { }); + MathJax.Extension["TeX/mhchem"].CE = CE; /***************************************************************************/ - // - // Set up the macros for chemistry - // - MACROS.ce = 'CE'; - MACROS.cf = 'CE'; - MACROS.cee = 'CE'; + TEX.Definitions.Add({ + macros: { + // + // Set up the macros for chemistry + // + ce: 'CE', + cf: 'CE', + cee: 'CE', + + // + // Make these load AMSmath package (redefined below when loaded) + // + xleftrightarrow: ['Extension','AMSmath'], + xrightleftharpoons: ['Extension','AMSmath'], + xRightleftharpoons: ['Extension','AMSmath'], + xLeftrightharpoons: ['Extension','AMSmath'], + + // FIXME: These don't work well in FF NativeMML mode + longrightleftharpoons: ["Macro","\\stackrel{\\textstyle{{-}\\!\\!{\\rightharpoonup}}}{\\smash{{\\leftharpoondown}\\!\\!{-}}}"], + longRightleftharpoons: ["Macro","\\stackrel{\\textstyle{-}\\!\\!{\\rightharpoonup}}{\\small\\smash\\leftharpoondown}"], + longLeftrightharpoons: ["Macro","\\stackrel{\\rightharpoonup}{{{\\leftharpoondown}\\!\\!\\textstyle{-}}}"], + + // + // Add \hyphen used in some mhchem examples + // + hyphen: ["Macro","\\text{-}"], + + // + // Needed for \bond for the ~ forms + // + tripledash: ["Macro","\\raise3mu{\\tiny\\text{-}\\kern2mu\\text{-}\\kern2mu\\text{-}}"] + }, + + // + // Needed for \bond for the ~ forms + // + environment: { + CEstack: ['Array',null,null,null,'r',null,"0.001em",'T',1], + CEscriptstack: ['Array',null,null,null,'r',null,"0.2em",'S',1] + } + },null,true); + + if (!MathJax.Extension["TeX/AMSmath"]) { + TEX.Definitions.Add({ + macros: { + xrightarrow: ['Extension','AMSmath'], + xleftarrow: ['Extension','AMSmath'] + } + },null,true); + } // - // Include some missing arrows (some are hacks) + // These arrows need to wait until AMSmath is loaded // - MACROS.xleftrightarrow = ['xArrow',0x2194,6,6]; - MACROS.xrightleftharpoons = ['xArrow',0x21CC,5,7]; // FIXME: doesn't stretch in HTML-CSS output - MACROS.xRightleftharpoons = ['xArrow',0x21CC,5,7]; // FIXME: how should this be handled? - - // FIXME: These don't work well in FF NativeMML mode - MACROS.longrightleftharpoons = ["Macro","\\stackrel{\\textstyle{{-}\\!\\!{\\rightharpoonup}}}{\\smash{{\\leftharpoondown}\\!\\!{-}}}"]; - MACROS.longRightleftharpoons = ["Macro","\\stackrel{\\textstyle{-}\\!\\!{\\rightharpoonup}}{\\small\\smash\\leftharpoondown}"]; - - // - // Needed for \bond for the ~ forms - // - MACROS.tripledash = ["Macro","\\raise3mu{\\tiny\\text{-}\\kern2mu\\text{-}\\kern2mu\\text{-}}"]; - TEX.Definitions.environment.CEstack = ['Array',null,null,null,'r',null,"0.001em",'T',1] - - // - // Add \hyphen used in some mhchem examples - // - MACROS.hyphen = ["Macro","\\text{-}"]; + MathJax.Hub.Register.StartupHook("TeX AMSmath Ready",function () { + TEX.Definitions.Add({ + macros: { + // + // Some of these are hacks for now + // + xleftrightarrow: ['xArrow',0x2194,6,6], + xrightleftharpoons: ['xArrow',0x21CC,5,7], // FIXME: doesn't stretch in HTML-CSS output + xRightleftharpoons: ['xArrow',0x21CC,5,7], // FIXME: how should this be handled? + xLeftrightharpoons: ['xArrow',0x21CC,5,7] + } + },null,true); + }); TEX.Parse.Augment({ diff --git a/unpacked/extensions/TeX/unicode.js b/unpacked/extensions/TeX/unicode.js index 7ac185459..49588a0de 100644 --- a/unpacked/extensions/TeX/unicode.js +++ b/unpacked/extensions/TeX/unicode.js @@ -59,7 +59,7 @@ // The configuration defaults, augmented by the user settings // MathJax.Extension["TeX/unicode"] = { - version: "2.0", + version: "2.0.1", unicode: {}, config: MathJax.Hub.CombineConfig("TeX.unicode",{ fonts: "STIXGeneral,'Arial Unicode MS'" @@ -74,7 +74,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { // // Add \unicode macro // - TEX.Definitions.macros.unicode = 'Unicode'; + TEX.Definitions.Add({macros: {unicode: 'Unicode'}},null,true); // // Implementation of \unicode in parser // diff --git a/unpacked/extensions/TeX/verb.js b/unpacked/extensions/TeX/verb.js index 10af8ce38..1ca159807 100644 --- a/unpacked/extensions/TeX/verb.js +++ b/unpacked/extensions/TeX/verb.js @@ -23,7 +23,7 @@ */ MathJax.Extension["TeX/verb"] = { - version: "2.0" + version: "2.0.1" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { @@ -32,7 +32,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { var TEX = MathJax.InputJax.TeX; var TEXDEF = TEX.Definitions; - TEXDEF.macros.verb = 'Verb'; + TEXDEF.Add({macros: {verb: 'Verb'}},null,true); TEX.Parse.Augment({ diff --git a/unpacked/extensions/jsMath2jax.js b/unpacked/extensions/jsMath2jax.js index acc8dc5f7..41e1d1cc5 100644 --- a/unpacked/extensions/jsMath2jax.js +++ b/unpacked/extensions/jsMath2jax.js @@ -91,5 +91,5 @@ MathJax.Extension.jsMath2jax = { }; -MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.jsMath2jax]); +MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.jsMath2jax],8); MathJax.Ajax.loadComplete("[MathJax]/extensions/jsMath2jax.js"); diff --git a/unpacked/extensions/toMathML.js b/unpacked/extensions/toMathML.js index 6894a6286..8c22348fe 100644 --- a/unpacked/extensions/toMathML.js +++ b/unpacked/extensions/toMathML.js @@ -23,7 +23,7 @@ */ MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function () { - var VERSION = "2.0"; + var VERSION = "2.0.1"; var MML = MathJax.ElementJax.mml SETTINGS = MathJax.Hub.config.menuSettings; @@ -88,7 +88,7 @@ MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function () { if (typeof(value) === "string" && value.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)) { // FIXME: should take scriptlevel into account - return ((1/18)*RegExp.$1).toFixed(3).replace(/\.?0+$/,"")+"em"; + 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); diff --git a/unpacked/jax/element/mml/jax.js b/unpacked/jax/element/mml/jax.js index dd2821bec..d9b558a75 100644 --- a/unpacked/jax/element/mml/jax.js +++ b/unpacked/jax/element/mml/jax.js @@ -27,7 +27,7 @@ MathJax.ElementJax.mml = MathJax.ElementJax({ mimeType: "jax/mml" },{ id: "mml", - version: "2.0", + version: "2.0.4", directory: MathJax.ElementJax.directory + "/mml", extensionDir: MathJax.ElementJax.extensionDir + "/mml", optableDir: MathJax.ElementJax.directory + "/mml/optable" @@ -395,7 +395,7 @@ MathJax.ElementJax.mml.Augment({ }, setBaseTeXclasses: function (prev) { this.getPrevClass(prev); this.texClass = null; - if (this.isEmbellished()) { + if (this.isEmbellished() || this.data[0].isa(MML.mi)) { prev = this.data[0].setTeXclass(prev); this.updateTeXclass(this.Core()); } else {if (this.data[0]) {this.data[0].setTeXclass()}; prev = this} @@ -429,7 +429,17 @@ MathJax.ElementJax.mml.Augment({ MML.VARIANT.ITALIC : MML.VARIANT.NORMAL); } return ""; - } + }, + setTeXclass: function (prev) { + this.getPrevClass(prev); + var name = this.data.join(""); + if (name.length > 1 && name.match(/^[a-z][a-z0-9]*$/i) && + this.texClass === MML.TEXCLASS.ORD) { + this.texClass = MML.TEXCLASS.OP; + this.autoOP = true; + } + return this; + } }); MML.mn = MML.mbase.Subclass({ @@ -567,9 +577,24 @@ MathJax.ElementJax.mml.Augment({ setTeXclass: function (prev) { this.getValues("lspace","rspace"); // sets useMMLspacing if (this.useMMLspacing) {this.texClass = MML.TEXCLASS.NONE; return this} - this.texClass = this.Get("texClass"); if (this.texClass === MML.TEXCLASS.NONE) {return prev} - if (prev) {this.prevClass = prev.texClass || MML.TEXCLASS.ORD; this.prevLevel = prev.Get("scriptlevel")} - else {this.prevClass = MML.TEXCLASS.NONE} + this.texClass = this.Get("texClass"); + if (this.data.join("") === "\u2061") { + // force previous node to be texClass OP, and skip this node + prev.texClass = MML.TEXCLASS.OP; + this.texClass = this.prevClass = MML.TEXCLASS.NONE; + return prev; + } + return this.adjustTeXclass(prev); + }, + adjustTeXclass: function (prev) { + if (this.texClass === MML.TEXCLASS.NONE) {return prev} + if (prev) { + if (prev.autoOP && (this.texClass === MML.TEXCLASS.BIN || + this.texClass === MML.TEXCLASS.REL)) + {prev.texClass = MML.TEXCLASS.ORD} + this.prevClass = prev.texClass || MML.TEXCLASS.ORD; + this.prevLevel = prev.Get("scriptlevel") + } else {this.prevClass = MML.TEXCLASS.NONE} if (this.texClass === MML.TEXCLASS.BIN && (this.prevClass === MML.TEXCLASS.NONE || this.prevClass === MML.TEXCLASS.BIN || @@ -1009,6 +1034,9 @@ MathJax.ElementJax.mml.Augment({ }, inheritFromMe: true, noInherit: { + mover: {align: true}, + munder: {align: true}, + munderover: {align: true}, mtable: { align: true, rowalign: true, columnalign: true, groupalign: true, alignmentscope: true, columnwidth: true, width: true, rowspacing: true, @@ -1234,7 +1262,6 @@ MathJax.ElementJax.mml.Augment({ var nNode, i, m; if (node.nodeType === 1) { // ELEMENT_NODE nNode = document.createElement(node.nodeName); - if (node.className) {nNode.className=iNode.className} for (i = 0, m = node.attributes.length; i < m; i++) { var attribute = node.attributes[i]; if (attribute.specified && attribute.nodeValue != null && attribute.nodeValue != '') @@ -1261,11 +1288,14 @@ MathJax.ElementJax.mml.Augment({ type: "texatom", inferRow: true, texClass: MML.TEXCLASS.ORD, + Core: MML.mbase.childCore, + CoreMO: MML.mbase.childCoreMO, + isEmbellished: MML.mbase.childEmbellished, setTeXclass: function (prev) { - this.getPrevClass(prev); this.data[0].setTeXclass(); - return this; - } + return this.adjustTeXclass(prev); + }, + adjustTeXclass: MML.mo.prototype.adjustTeXclass }); MML.NULL = MML.mbase().With({type:"null"}); diff --git a/unpacked/jax/input/TeX/config.js b/unpacked/jax/input/TeX/config.js index 5add16aa2..3532b751b 100644 --- a/unpacked/jax/input/TeX/config.js +++ b/unpacked/jax/input/TeX/config.js @@ -24,7 +24,7 @@ MathJax.InputJax.TeX = MathJax.InputJax({ id: "TeX", - version: "2.0", + version: "2.0.6", directory: MathJax.InputJax.directory + "/TeX", extensionDir: MathJax.InputJax.extensionDir + "/TeX", diff --git a/unpacked/jax/input/TeX/jax.js b/unpacked/jax/input/TeX/jax.js index cf50a7288..cf97904a6 100644 --- a/unpacked/jax/input/TeX/jax.js +++ b/unpacked/jax/input/TeX/jax.js @@ -135,6 +135,16 @@ type: "close", isClose: true }); + STACKITEM.prime = STACKITEM.Subclass({ + type: "prime", + checkItem: function (item) { + if (this.data[0].type !== "msubsup") + {return [MML.msup(this.data[0],this.data[1]),item]} + this.data[0].SetData(this.data[0].sup,this.data[1]); + return [this.data[0],item]; + } + }); + STACKITEM.subsup = STACKITEM.Subclass({ type: "subsup", stopError: "Missing superscript or subscript argument", @@ -142,6 +152,10 @@ var script = ["","subscript","superscript"][this.position]; if (item.type === "open" || item.type === "left") {return true} if (item.type === "mml") { + if (this.primes) { + if (this.position !== 2) {this.data[0].SetData(2,this.primes)} + else {item.data[0] = MML.mrow(this.primes.With({variantForm:true}),item.data[0])} + } this.data[0].SetData(this.position,item.data[0]); return STACKITEM.mml(this.data[0]); } @@ -335,9 +349,11 @@ } }); STACKITEM.not.remap = { + 0x2190:0x219A, 0x2192:0x219B, 0x2194:0x21AE, + 0x21D0:0x21CD, 0x21D2:0x21CF, 0x21D4:0x21CE, 0x2208:0x2209, 0x220B:0x220C, 0x2223:0x2224, 0x2225:0x2226, 0x223C:0x2241, 0x007E:0x2241, 0x2243:0x2244, 0x2245:0x2247, - 0x2248:0x2249, 0x003D:0x2260, 0x2261:0x2262, + 0x2248:0x2249, 0x224D:0x226D, 0x003D:0x2260, 0x2261:0x2262, 0x003C:0x226E, 0x003E:0x226F, 0x2264:0x2270, 0x2265:0x2271, 0x2272:0x2274, 0x2273:0x2275, 0x2276:0x2278, 0x2277:0x2279, 0x227A:0x2280, 0x227B:0x2281, 0x2282:0x2284, 0x2283:0x2285, @@ -442,9 +458,9 @@ varphi: '03C6', // Ord symbols - S: '00A7', + S: ['00A7',{mathvariant: MML.VARIANT.NORMAL}], aleph: ['2135',{mathvariant: MML.VARIANT.NORMAL}], - hbar: '210F', + hbar: ['210F',{variantForm:true}], imath: '0131', jmath: '0237', ell: '2113', @@ -453,14 +469,14 @@ Im: ['2111',{mathvariant: MML.VARIANT.NORMAL}], partial: ['2202',{mathvariant: MML.VARIANT.NORMAL}], infty: ['221E',{mathvariant: MML.VARIANT.NORMAL}], - prime: ['2032',{mathvariant: MML.VARIANT.NORMAL}], + prime: ['2032',{mathvariant: MML.VARIANT.NORMAL, variantForm:true}], emptyset: ['2205',{mathvariant: MML.VARIANT.NORMAL}], nabla: ['2207',{mathvariant: MML.VARIANT.NORMAL}], top: ['22A4',{mathvariant: MML.VARIANT.NORMAL}], bot: ['22A5',{mathvariant: MML.VARIANT.NORMAL}], angle: ['2220',{mathvariant: MML.VARIANT.NORMAL}], triangle: ['25B3',{mathvariant: MML.VARIANT.NORMAL}], - backslash: ['2216',{mathvariant: MML.VARIANT.NORMAL}], + backslash: ['2216',{mathvariant: MML.VARIANT.NORMAL, variantForm:true}], forall: ['2200',{mathvariant: MML.VARIANT.NORMAL}], exists: ['2203',{mathvariant: MML.VARIANT.NORMAL}], neg: ['00AC',{mathvariant: MML.VARIANT.NORMAL}], @@ -527,7 +543,7 @@ pm: '00B1', circ: '2218', bigcirc: '25EF', - setminus: '2216', + setminus: ['2216',{variantForm:true}], cdot: '22C5', ast: '2217', times: '00D7', @@ -862,18 +878,18 @@ hphantom: ['Phantom',0,1], smash: 'Smash', - acute: ['Accent', "02CA"], // or 0301 - grave: ['Accent', "02CB"], // or 0300 + acute: ['Accent', "00B4"], // or 0301 or 02CA + grave: ['Accent', "0060"], // or 0300 or 02CB ddot: ['Accent', "00A8"], // or 0308 - tilde: ['Accent', "02DC"], // or 0303 - bar: ['Accent', "02C9"], // or 0304 + tilde: ['Accent', "007E"], // or 0303 or 02DC + bar: ['Accent', "00AF"], // or 0304 or 02C9 breve: ['Accent', "02D8"], // or 0306 check: ['Accent', "02C7"], // or 030C - hat: ['Accent', "02C6"], // or 0302 - vec: ['Accent', "20D7"], + hat: ['Accent', "005E"], // or 0302 or 02C6 + vec: ['Accent', "2192"], // or 20D7 dot: ['Accent', "02D9"], // or 0307 - widetilde: ['Accent', "02DC",1], // or 0303 - widehat: ['Accent', "02C6",1], // or 0302 + widetilde: ['Accent', "007E",1], // or 0303 or 02DC + widehat: ['Accent', "005E",1], // or 0302 or 02C6 matrix: 'Matrix', array: 'Matrix', @@ -968,12 +984,13 @@ vmatrix: ['Array',null,'\\vert','\\vert','c'], Vmatrix: ['Array',null,'\\Vert','\\Vert','c'], cases: ['Array',null,'\\{','.','ll',null,".1em"], - eqnarray: ['Array',null,null,null,'rcl',MML.LENGTH.THICKMATHSPACE,".5em",'D'], - 'eqnarray*': ['Array',null,null,null,'rcl',MML.LENGTH.THICKMATHSPACE,".5em",'D'], equation: [null,'Equation'], 'equation*': [null,'Equation'], + eqnarray: ['ExtensionEnv',null,'AMSmath'], + 'eqnarray*': ['ExtensionEnv',null,'AMSmath'], + align: ['ExtensionEnv',null,'AMSmath'], 'align*': ['ExtensionEnv',null,'AMSmath'], aligned: ['ExtensionEnv',null,'AMSmath'], @@ -1139,13 +1156,12 @@ Superscript: function (c) { if (this.GetNext().match(/\d/)) // don't treat numbers as a unit {this.string = this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)} - var position, base = this.stack.Prev(); if (!base) {base = MML.mi("")} + var position, primes, base, top = this.stack.Top(); + if (top.type === "prime") {base = top.data[0]; primes = top.data[1]; this.stack.Pop()} + else {base = this.stack.Prev(); if (!base) {base = MML.mi("")}} if (base.isEmbellishedWrapper) {base = base.data[0].data[0]} if (base.type === "msubsup") { - if (base.data[base.sup]) { - if (!base.data[base.sup].isPrime) {TEX.Error("Double exponent: use braces to clarify")} - base = MML.msubsup(base,null,null); - } + if (base.data[base.sup]) {TEX.Error("Double exponent: use braces to clarify")} position = base.sup; } else if (base.movesupsub) { if (base.type !== "munderover" || base.data[base.over]) { @@ -1157,12 +1173,14 @@ base = MML.msubsup(base,null,null); position = base.sup; } - this.Push(STACKITEM.subsup(base).With({position: position})); + this.Push(STACKITEM.subsup(base).With({position: position, primes: primes})); }, Subscript: function (c) { if (this.GetNext().match(/\d/)) // don't treat numbers as a unit {this.string = this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)} - var position, base = this.stack.Prev(); if (!base) {base = MML.mi("")} + var position, primes, base, top = this.stack.Top(); + if (top.type === "prime") {base = top.data[0]; primes = top.data[1]; this.stack.Pop()} + else {base = this.stack.Prev(); if (!base) {base = MML.mi("")}} if (base.isEmbellishedWrapper) {base = base.data[0].data[0]} if (base.type === "msubsup") { if (base.data[base.sub]) {TEX.Error("Double subscripts: use braces to clarify")} @@ -1177,7 +1195,7 @@ base = MML.msubsup(base,null,null); position = base.sub; } - this.Push(STACKITEM.subsup(base).With({position: position})); + this.Push(STACKITEM.subsup(base).With({position: position, primes: primes})); }, PRIME: "\u2032", SMARTQUOTE: "\u2019", Prime: function (c) { @@ -1187,8 +1205,8 @@ var sup = ""; this.i--; do {sup += this.PRIME; this.i++, c = this.GetNext()} while (c === "'" || c === this.SMARTQUOTE); - sup = this.mmlToken(MML.mo(MML.chars(sup)).With({isPrime: true})); - this.Push(MML.msup(base,sup)); + sup = ["","\u2032","\u2033","\u2034","\u2057"][sup.length] || sup; + this.Push(STACKITEM.prime(base,this.mmlToken(MML.mo(sup)))); }, mi2mo: function (mi) { var mo = MML.mo(); mo.Append.apply(mo,mi.data); var id; @@ -1286,7 +1304,7 @@ }, Limits: function (name,limits) { var op = this.stack.Prev("nopop"); - if (op.texClass !== MML.TEXCLASS.OP) {TEX.Error(name+" is allowed only on operators")} + if (!op || op.texClass !== MML.TEXCLASS.OP) {TEX.Error(name+" is allowed only on operators")} op.movesupsub = (limits ? true : false); op.movablelimits = false; }, @@ -1592,9 +1610,12 @@ }, CrLaTeX: function (name) { - var n = this.GetBrackets(name,"").replace(/ /g,""); - if (n && !n.match(/^(((\.\d+|\d+(\.\d*)?))(pt|em|ex|mu|mm|cm|in|pc))$/)) - {TEX.Error("Bracket argument to "+name+" must be a dimension")} + var n; + if (this.string.charAt(this.i) === "[") { + n = this.GetBrackets(name,"").replace(/ /g,""); + if (n && !n.match(/^(((\.\d+|\d+(\.\d*)?))(pt|em|ex|mu|mm|cm|in|pc))$/)) + {TEX.Error("Bracket argument to "+name+" must be a dimension")} + } this.Push(STACKITEM.cell().With({isCR: true, name: name, linebreak: true})); var top = this.stack.Top(); if (top.isa(STACKITEM.array)) { @@ -1986,7 +2007,7 @@ this.prefilterHooks.Execute(data); math = data.math; try { mml = TEX.Parse(math).mml(); -// mml = MML.semantics(mml,MML.annotation(math).With({encoding:"application:x-tex"})); +// mml = MML.semantics(mml,MML.annotation(math).With({encoding:"application/x-tex"})); } catch(err) { if (!err.texError) {throw err} mml = this.formatError(err,math,display,script); diff --git a/unpacked/jax/output/HTML-CSS/autoload/mtable.js b/unpacked/jax/output/HTML-CSS/autoload/mtable.js index 2ee922157..d9505d5dc 100644 --- a/unpacked/jax/output/HTML-CSS/autoload/mtable.js +++ b/unpacked/jax/output/HTML-CSS/autoload/mtable.js @@ -22,7 +22,7 @@ */ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { - var VERSION = "2.0"; + var VERSION = "2.0.2"; var MML = MathJax.ElementJax.mml, HTMLCSS = MathJax.OutputJax["HTML-CSS"]; @@ -38,8 +38,8 @@ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { var stack = HTMLCSS.createStack(span); var scale = this.HTMLgetScale(), mu = this.HTMLgetMu(span), LABEL = -1; - var H = [], D = [], W = [], A = [], C = [], i, j, J = -1, m, M, s, row, entries = []; - var LHD = HTMLCSS.FONTDATA.baselineskip * scale * values.useHeight, + var H = [], D = [], W = [], A = [], C = [], i, j, J = -1, m, M, s, row, cell, mo, entries = []; + var LHD = HTMLCSS.FONTDATA.baselineskip * scale * values.useHeight, HD, LH = HTMLCSS.FONTDATA.lineH * scale, LD = HTMLCSS.FONTDATA.lineD * scale; // @@ -62,7 +62,26 @@ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { for (i = 0, m = this.data.length; i < m; i++) { row = this.data[i]; s = (row.type === "mlabeledtr" ? LABEL : 0); for (j = s, M = row.data.length + s; j < M; j++) { - if (row.data[j-s].isMultiline) {A[i][j].style.width = "100%"} + cell = row.data[j-s]; + if (cell.isMultiline) {A[i][j].style.width = "100%"} + if (cell.isEmbellished()) { + mo = cell.CoreMO(); + var min = mo.Get("minsize",true); + if (min) { + var bbox = mo.HTMLspanElement().bbox; + if (mo.HTMLcanStretch("Vertical")) { + HD = bbox.h + bbox.d; + if (HD) { + min = HTMLCSS.length2em(min,mu,HD); + if (min*bbox.h/HD > H[j]) {H[j] = min*bbox.h/HD} + if (min*bbox.d/HD > D[j]) {D[j] = min*bbox.d/HD} + } + } else if (mo.HTMLcanStretch("Horizontal")) { + min = HTMLCSS.length2em(min,mu,bbox.w); + if (min > W[j]) {W[j] = min} + } + } + } if (A[i][j].bbox.h > H[i]) {H[i] = A[i][j].bbox.h} if (A[i][j].bbox.d > D[i]) {D[i] = A[i][j].bbox.d} if (A[i][j].bbox.w > W[j]) {W[j] = A[i][j].bbox.w} @@ -122,7 +141,7 @@ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { // // Determine array total height // - var HD = H[0] + D[A.length-1]; + HD = H[0] + D[A.length-1]; for (i = 0, m = A.length-1; i < m; i++) {HD += Math.max((H[i]+D[i] ? LHD : 0),D[i]+H[i+1]+RSPACE[i])} // // Determine frame and line sizes @@ -245,13 +264,13 @@ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { for (i = 0, m = A.length; i < m; i++) { if (A[i][j]) { s = (this.data[i].type === "mlabeledtr" ? LABEL : 0); - var cell = this.data[i].data[j-s]; + cell = this.data[i].data[j-s]; if (cell.HTMLcanStretch("Horizontal")) { - A[i][j].bbox = cell.HTMLstretchH(C[j],W[j]).bbox + A[i][j].bbox = cell.HTMLstretchH(C[j],W[j]).bbox; } else if (cell.HTMLcanStretch("Vertical")) { - var mo = cell.CoreMO(); + mo = cell.CoreMO(); var symmetric = mo.symmetric; mo.symmetric = false; - A[i][j].bbox = cell.HTMLstretchV(C[j],H[i],D[i]).bbox; + A[i][j].bbox = cell.HTMLstretchV(C[j],H[i],D[i]).bbox; A[i][j].HH = null; mo.symmetric = symmetric; } align = cell.rowalign||this.data[i].rowalign||RALIGN[i]; @@ -259,7 +278,7 @@ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { bottom: A[i][j].bbox.d - D[i], center: ((H[i]-D[i]) - (A[i][j].bbox.h-A[i][j].bbox.d))/2, baseline: 0, axis: 0})[align]; // FIXME: handle axis better? - align = (cell.columnalign||RCALIGN[i][j]||CALIGN[j]) + align = (cell.columnalign||RCALIGN[i][j]||CALIGN[j]); HTMLCSS.alignBox(A[i][j],align,y+dy); } if (i < A.length-1) {y -= Math.max((H[i]+D[i] ? LHD : 0),D[i]+H[i+1]+RSPACE[i])} @@ -431,7 +450,7 @@ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { }, HTMLhandleSpace: function (span) { span.bbox.keepPadding = true; span.bbox.exact = true; - if (!this.hasFrame) {span.style.paddingLeft = span.style.paddingRight = ".1667em"} + if (!this.hasFrame) {span.style.paddingLeft = span.style.paddingRight = HTMLCSS.Em(1/6)} this.SUPER(arguments).HTMLhandleSpace.call(this,span); } }); diff --git a/unpacked/jax/output/HTML-CSS/autoload/multiline.js b/unpacked/jax/output/HTML-CSS/autoload/multiline.js index 44d71d42e..b53bdece2 100644 --- a/unpacked/jax/output/HTML-CSS/autoload/multiline.js +++ b/unpacked/jax/output/HTML-CSS/autoload/multiline.js @@ -22,7 +22,7 @@ */ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { - var VERSION = "2.0.1"; + var VERSION = "2.0.3"; var MML = MathJax.ElementJax.mml, HTMLCSS = MathJax.OutputJax["HTML-CSS"]; @@ -146,10 +146,9 @@ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { // Get the current breakpoint position and other data // var index = info.index.slice(0), i = info.index.shift(), - m = this.data.length, W, scanW = info.W, - broken = (info.index.length > 0), better = false; - if (i == null) {i = -1}; if (!broken) {i++; info.W += info.w}; - info.w = 0; info.nest++; info.scanW = scanW; + m = this.data.length, W, w, scanW, broken = (info.index.length > 0), better = false; + if (i == null) {i = -1}; if (!broken) {i++; info.W += info.w; info.w = 0} + scanW = info.scanW = info.W; info.nest++; // // Look through the line for breakpoints, // (as long as we are not too far past the breaking width) @@ -157,23 +156,25 @@ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { while (i < m && info.scanW < 1.33*HTMLCSS.linebreakWidth) { if (this.data[i]) { if (this.data[i].HTMLbetterBreak(info,state)) { - better = true; index = [i].concat(info.index); W = info.W; + better = true; index = [i].concat(info.index); W = info.W; w = info.w; if (info.penalty === PENALTY.newline) {info.index = index; info.nest--; return true} } - if (!broken) { - var span = this.data[i].HTMLspanElement(); - scanW += span.bbox.w; - if (span.style.paddingLeft) {scanW += parseFloat(span.style.paddingLeft)} - if (span.style.paddingRight) {scanW += parseFloat(span.style.paddingRight)} - info.W = info.scanW = scanW; - } + if (!broken) {scanW = this.HTMLaddWidth(i,info,scanW)} } info.index = []; i++; broken = false; } info.nest--; info.index = index; - if (better) {info.W = W} + if (better) {info.W = W; info.w = w} return better; }, + HTMLaddWidth: function (i,info,scanW) { + var span = this.data[i].HTMLspanElement(); + scanW += span.bbox.w; + if (span.style.paddingLeft) {scanW += HTMLCSS.unEm(span.style.paddingLeft)} + if (span.style.paddingRight) {scanW += HTMLCSS.unEm(span.style.paddingRight)} + info.W = info.scanW = scanW; info.w = 0; + return scanW; + }, /****************************************************************/ // @@ -262,7 +263,7 @@ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { } else { // // Otherwise, move the remainder of the initial item - // and any others up tp the last one + // and any others up to the last one // var last = state.last; state.last = false; while (i < j) { @@ -366,7 +367,88 @@ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { } else if (state.first) {state.nextIsFirst = true} else {delete state.nextIsFirst} } }); + + /**************************************************************************/ + + MML.mfenced.Augment({ + HTMLbetterBreak: function (info,state) { + // + // Get the current breakpoint position and other data + // + var index = info.index.slice(0), i = info.index.shift(), + m = this.data.length, W, w, scanW, broken = (info.index.length > 0), better = false; + if (i == null) {i = -1}; if (!broken) {i++; info.W += info.w; info.w = 0} + scanW = info.scanW = info.W; info.nest++; + // + // Create indices that include the delimiters and separators + // + if (!this.dataI) { + this.dataI = []; + if (this.data.open) {this.dataI.push("open")} + if (m) {this.dataI.push(0)} + for (var j = 1; j < m; j++) { + if (this.data["sep"+j]) {this.dataI.push("sep"+j)} + this.dataI.push(j); + } + if (this.data.close) {this.dataI.push("close")} + } + m = this.dataI.length; + // + // Look through the line for breakpoints, including the open, close, and separators + // (as long as we are not too far past the breaking width) + // + while (i < m && info.scanW < 1.33*HTMLCSS.linebreakWidth) { + var k = this.dataI[i]; + if (this.data[k]) { + if (this.data[k].HTMLbetterBreak(info,state)) { + better = true; index = [i].concat(info.index); W = info.W; w = info.w; + if (info.penalty === PENALTY.newline) {info.index = index; info.nest--; return true} + } + if (!broken) {scanW = this.HTMLaddWidth(k,info,scanW)} + } + info.index = []; i++; broken = false; + } + info.nest--; info.index = index; + if (better) {info.W = W; info.w = w} + return better; + }, + HTMLmoveLine: function (start,end,span,state,values) { + var i = start[0], j = end[0]; + if (i == null) {i = -1}; if (j == null) {j = this.dataI.length-1} + if (i === j && start.length > 1) { + // + // If starting and ending in the same element move the subpiece to the new line + // Add the closing fence, if present + // + this.data[this.dataI[i]].HTMLmoveSlice(start.slice(1),end.slice(1),span,state,values,"paddingLeft"); + } else { + // + // Otherwise, move the remainder of the initial item + // and any others (including open and separators) up to the last one + // + var last = state.last; state.last = false; var k = this.dataI[i]; + while (i < j) { + if (this.data[k]) { + if (start.length <= 1) {this.data[k].HTMLmoveSpan(span,state,values)} + else {this.data[k].HTMLmoveSlice(start.slice(1),[],span,state,values,"paddingLeft")} + } + i++; k = this.dataI[i]; state.first = false; start = []; + } + // + // If the last item is complete, move it and the closing fence, + // otherwise move the first part of it up to the split + // + state.last = last; + if (this.data[k]) { + if (end.length <= 1) {this.data[k].HTMLmoveSpan(span,state,values)} + else {this.data[k].HTMLmoveSlice([],end.slice(1),span,state,values,"paddingRight")} + } + } + } + + }); + /**************************************************************************/ MML.mo.Augment({ @@ -394,7 +476,7 @@ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { // var W = info.scanW, mo = (info.embellished||this); delete info.embellished; var span = mo.HTMLspanElement(), w = span.bbox.w; - if (span.style.paddingLeft) {w += parseFloat(span.style.paddingLeft)} + if (span.style.paddingLeft) {w += HTMLCSS.unEm(span.style.paddingLeft)} if (values.linebreakstyle === MML.LINEBREAKSTYLE.AFTER) {W += w; w = 0} if (W - info.shift === 0) {return false} // don't break at zero width (FIXME?) var offset = HTMLCSS.linebreakWidth - W; @@ -445,8 +527,7 @@ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { // Get the default penalty for this location // var W = info.scanW, span = this.HTMLspanElement(), w = span.bbox.w; - if (span.style.paddingLeft) {w += parseFloat(span.style.paddingLeft)} - if (values.linebreakstyle === MML.LINEBREAKSTYLE.AFTER) {W += w; w = 0} + if (span.style.paddingLeft) {w += HTMLCSS.unEm(span.style.paddingLeft)} if (W - info.shift === 0) {return false} // don't break at zero width (FIXME?) var offset = HTMLCSS.linebreakWidth - W; // diff --git a/unpacked/jax/output/HTML-CSS/config.js b/unpacked/jax/output/HTML-CSS/config.js index 8d0bde20f..fc2b747f0 100644 --- a/unpacked/jax/output/HTML-CSS/config.js +++ b/unpacked/jax/output/HTML-CSS/config.js @@ -24,7 +24,7 @@ MathJax.OutputJax["HTML-CSS"] = MathJax.OutputJax({ id: "HTML-CSS", - version: "2.0.1", + version: "2.0.11", directory: MathJax.OutputJax.directory + "/HTML-CSS", extensionDir: MathJax.OutputJax.extensionDir + "/HTML-CSS", autoloadDir: MathJax.OutputJax.directory + "/HTML-CSS/autoload", diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata.js index dfc4fd3b1..d304d2f8c 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata.js @@ -22,8 +22,8 @@ * limitations under the License. */ -(function (HTMLCSS,HTML) { - var VERSION = "2.0"; +(function (HTMLCSS,MML,HTML) { + var VERSION = "2.0.1"; HTMLCSS.allowWebFonts = false; @@ -31,6 +31,7 @@ BOLD = "STIXGeneral-bold", ITALIC = "STIXGeneral-italic", NONUNI = "STIXNonUnicode", + NONUNII = "STIXNonUnicode-italic", SIZE1 = "STIXSizeOneSym", SIZE2 = "STIXSizeTwoSym", SIZE3 = "STIXSizeThreeSym", @@ -66,15 +67,16 @@ }, VARIANT: { - "normal": {fonts: [GENERAL,NONUNI,SIZE1]}, + "normal": {fonts: [GENERAL,NONUNI,SIZE1], + remap: {0x2205: [0x2205,"-STIX-variant"]}}, // \emptyset "bold": {fonts: [BOLD,"STIXNonUnicode-bold","STIXSizeOneSym-bold"], bold:true}, - "italic": {fonts: [ITALIC,"STIXNonUnicode-italic",GENERAL,NONUNI,SIZE1], italic:true}, + "italic": {fonts: [ITALIC,NONUNII,GENERAL,NONUNI,SIZE1], italic:true}, "bold-italic": {fonts: ["STIXGeneral-bold-italic","STIXNonUnicode-bold-italic"], bold:true, italic:true}, "double-struck": {offsetA: 0x1D538, offsetN: 0x1D7D8, - remap: {0x1D53A: 0x2102, 0x1D53F: 0x210D, 0x1D545: 0x2115, 0x1D547: 0x2119, - 0x1D548: 0x211A, 0x1D549: 0x211D, 0x1D551: 0x2124}}, + remap: {0x1D53A: 0x2102, 0x1D53F: 0x210D, 0x1D545: 0x2115, 0x1D547: 0x2119, + 0x1D548: 0x211A, 0x1D549: 0x211D, 0x1D551: 0x2124}}, "fraktur": {offsetA: 0x1D504, - remap: {0x1D506: 0x212D, 0x1D50B: 0x210C, 0x1D50C: 0x2111, 0x1D515: 0x211C, 0x1D51D: 0x2128}}, + remap: {0x1D506: 0x212D, 0x1D50B: 0x210C, 0x1D50C: 0x2111, 0x1D515: 0x211C, 0x1D51D: 0x2128}}, "bold-fraktur": {fonts: [BOLD], offsetA: 0x1D56C, bold:true}, "script": {fonts: [ITALIC], offsetA: 0x1D49C, remap: {0x1D49D: 0x212C, 0x1D4A0: 0x2130, 0x1D4A1: 0x2131, 0x1D4A3: 0x210B, @@ -83,16 +85,20 @@ "bold-script": {fonts: [ITALIC], offsetA: 0x1D4D0, bold:true}, "sans-serif": {offsetA: 0x1D5A0, offsetN: 0x1D7E2, offsetG: 0xE17D}, "bold-sans-serif": {offsetA: 0x1D5D4, offsetG: 0x1D756, offsetN: 0x1D7EC, bold:true}, - "sans-serif-italic": {fonts: [ITALIC], offsetA: 0x1D608, offsetN: 0xE1B4, offsetG: 0xE1BF, italic:true}, - "sans-serif-bold-italic": {fonts: ["STIXGeneral-bold-italic"], offsetA: 0x1D63C, offsetN: 0xE1F6, offsetG: 0x1D790, bold:true, italic:true}, + "sans-serif-italic": {fonts: [ITALIC,NONUNII], offsetA: 0x1D608, offsetN: 0xE1B4, offsetG: 0xE1BF, italic:true}, + "sans-serif-bold-italic": {fonts: ["STIXGeneral-bold-italic","STIXNonUnicode-bold-italic"], offsetA: 0x1D63C, offsetN: 0xE1F6, offsetG: 0x1D790, bold:true, italic:true}, "monospace": {offsetA: 0x1D670, offsetN: 0x1D7F6}, - "-STIX-variant": {fonts:["STIXVariants",NONUNI,GENERAL]}, - "-tex-caligraphic": {fonts: [ITALIC,"STIXNonUnicode-italic",NONUNI,SIZE1], offsetA: 0xE22D, noLowerCase: 1}, + "-STIX-variant": {fonts:["STIXVariants",NONUNI,GENERAL], + remap: {0x2A87: 0xE010, 0x2A88: 0xE00F, 0x2270: 0xE011, 0x2271: 0xE00E, + 0x22E0: 0xE04B, 0x22E1: 0xE04F, 0x2288: 0xE016, 0x2289: 0xE018, + 0x25B3: 0x25B5, 0x25BD: 0x25BF, + 0x2205: [0x2205,MML.VARIANT.NORMAL]}}, // \varnothing + "-tex-caligraphic": {fonts: [ITALIC,NONUNII,NONUNI,SIZE1], offsetA: 0xE22D, noLowerCase: 1}, "-tex-oldstyle": {offsetN: 0xE261, - remap: {0xE262: 0xE265, 0xE263: 0xE269, 0xE264: 0xE26D, 0xE265: 0xE271, - 0xE266: 0xE275, 0xE267: 0xE279, 0xE268: 0xE27D, 0xE269: 0xE281, - 0xE26A: 0xE285}}, - "-tex-mathit": {fonts: [ITALIC,"STIXNonUnicode-italic",GENERAL,NONUNI,SIZE1], italic:true, noIC:true}, + remap: {0xE262: 0xE265, 0xE263: 0xE269, 0xE264: 0xE26D, 0xE265: 0xE271, + 0xE266: 0xE275, 0xE267: 0xE279, 0xE268: 0xE27D, 0xE269: 0xE281, + 0xE26A: 0xE285}}, + "-tex-mathit": {fonts: [ITALIC,NONUNII,GENERAL,NONUNI,SIZE1], italic:true, noIC:true}, "-largeOp": {fonts:[SIZE1,"STIXIntegralsD",NONUNI,GENERAL]}, "-smallOp": {} }, @@ -101,7 +107,7 @@ {name: "alpha", low: 0x61, high: 0x7A, offset: "A", add: 26}, {name: "Alpha", low: 0x41, high: 0x5A, offset: "A"}, {name: "number", low: 0x30, high: 0x39, offset: "N"}, - {name: "greek", low: 0x03B1, high: 0x03C9, offset: "G", add: 25}, + {name: "greek", low: 0x03B1, high: 0x03C9, offset: "G", add: 26}, {name: "Greek", low: 0x0391, high: 0x03F6, offset: "G", remap: {0x03F5: 53, 0x03D1: 54, 0x03F0: 55, 0x03D5: 56, 0x03F1: 57, 0x03D6: 58, 0x03F4: 17}} ], @@ -336,7 +342,7 @@ stretch: {top:[0x23AB,SIZE1], ext:[0x23AA,SIZE1], bot:[0x23AD,SIZE1]} }, 0x002D: {alias: 0x23AF, dir:H}, // minus - 0x005E: {alias: 0x02D6, dir:H}, // wide hat + 0x005E: {alias: 0x02C6, dir:H}, // wide hat 0x005F: {alias: 0x23AF, dir:H}, // low line 0x007E: {alias: 0x02DC, dir:H}, // wide tilde 0x00AF: {alias: 0x23AF, dir:H}, // macron @@ -454,18 +460,6 @@ } }); - MathJax.Hub.Register.StartupHook("TeX Jax Ready", function () { - var TEX = MathJax.InputJax.TeX; - - TEX.isSTIX = true; - TEX.Definitions.mathchar0mi.hbar = ['210F',{variantForm: true}]; - TEX.Definitions.mathchar0mi.emptyset[1].variantForm = true; - TEX.Definitions.mathchar0mi.backslash[1].variantForm = true; - TEX.Definitions.mathchar0mi.triangle[1].mathsize = "71%"; - - TEX.Definitions.mathchar0mo.setminus = ['2216',{variantForm: true}]; - }); - HTMLCSS.FONTDATA.FONTS['STIXGeneral'] = { directory: 'General/Regular', family: 'STIXGeneral', @@ -1567,5 +1561,5 @@ QUEUE.push(["loadComplete",MathJax.Ajax,HTMLCSS.fontDir + "/fontdata.js"]); MathJax.Callback.Queue.apply(MathJax.Callback,QUEUE); -})(MathJax.OutputJax["HTML-CSS"],MathJax.HTML); +})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.HTML); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js index 48d31d30a..b87b01491 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js @@ -22,6 +22,7 @@ */ (function (HTMLCSS) { + var VERSION = "2.0.1"; var DELIMITERS = HTMLCSS.FONTDATA.DELIMITERS; @@ -48,12 +49,12 @@ 0x21A4: // left arrow from bar { dir: H, HW: [], - stretch: {left:[0x2190,MAIN], rep:[0x2212,MAIN], right:[0x2223,SIZE1,0,-.05,.9]} + stretch: {min:1, left:[0x2190,MAIN], rep:[0x2212,MAIN], right:[0x2223,SIZE1,0,-.05,.9]} }, 0x21A5: // up arrow from bar { dir: V, HW: [], - stretch: {bot:[0x22A5,BOLD,0,0,.75], ext:[0x23D0,SIZE1], top:[0x2191,SIZE1]} + stretch: {min:.6, bot:[0x22A5,BOLD,0,0,.75], ext:[0x23D0,SIZE1], top:[0x2191,SIZE1]} }, 0x21A6: // right arrow from bar { @@ -63,7 +64,7 @@ 0x21A7: // down arrow from bar { dir: V, HW: [], - stretch: {top:[0x22A4,BOLD,0,0,.75], ext:[0x23D0,SIZE1], bot:[0x2193,SIZE1]} + stretch: {min:.6, top:[0x22A4,BOLD,0,0,.75], ext:[0x23D0,SIZE1], bot:[0x2193,SIZE1]} }, 0x21B0: // up arrow with top leftwards { @@ -128,12 +129,12 @@ 0x23B4: // top square bracket { dir: H, HW: [], - stretch: {left:[0x250C,AMS,0,-.1], rep:[0x2212,MAIN,0,.35], right:[0x2510,AMS,0,-.1]} + stretch: {min:.5, left:[0x250C,AMS,0,-.1], rep:[0x2212,MAIN,0,.35], right:[0x2510,AMS,0,-.1]} }, 0x23B5: // bottom square bracket { dir: H, HW: [], - stretch: {left:[0x2514,AMS,0,.26], rep:[0x2212,MAIN,0,0,0,.25], right:[0x2518,AMS,0,.26]} + stretch: {min:.5, left:[0x2514,AMS,0,.26], rep:[0x2212,MAIN,0,0,0,.25], right:[0x2518,AMS,0,.26]} }, 0x23DC: // top paren { @@ -148,82 +149,82 @@ 0x23E0: // top tortoise shell { dir: H, HW: [], - stretch: {left:[0x2CA,MAIN,-.1], rep:[0x2C9,MAIN,0,.13], right:[0x2CB,MAIN], fullExtenders:true} + stretch: {min:1.25, left:[0x2CA,MAIN,-.1], rep:[0x2C9,MAIN,0,.13], right:[0x2CB,MAIN], fullExtenders:true} }, 0x23E1: // bottom tortoise shell { dir: H, HW: [], - stretch: {left:[0x2CB,MAIN,-.1,.1], rep:[0x2C9,MAIN], right:[0x2CA,MAIN,-.1,.1], fullExtenders:true} + stretch: {min:1.5, left:[0x2CB,MAIN,-.1,.1], rep:[0x2C9,MAIN], right:[0x2CA,MAIN,-.1,.1], fullExtenders:true} }, 0x2906: // leftwards double arrow from bar { dir: H, HW: [], - stretch: {left:[0x21D0,MAIN], rep:[0x3D,MAIN], right:[0x2223,SIZE1,0,-.1]} + stretch: {min:1, left:[0x21D0,MAIN], rep:[0x3D,MAIN], right:[0x2223,SIZE1,0,-.1]} }, 0x2907: // rightwards double arrow from bar { dir: H, HW: [], - stretch: {left:[0x22A8,AMS,0,-.12], rep:[0x3D,MAIN], right:[0x21D2,MAIN]} + stretch: {min:.7, left:[0x22A8,AMS,0,-.12], rep:[0x3D,MAIN], right:[0x21D2,MAIN]} }, 0x294E: // left barb up right barb up harpoon { dir: H, HW: [], - stretch: {left:[0x21BC,MAIN], rep:[0x2212,MAIN], right:[0x21C0,MAIN]} + stretch: {min:.5, left:[0x21BC,MAIN], rep:[0x2212,MAIN], right:[0x21C0,MAIN]} }, 0x294F: // up barb right down barb right harpoon { dir: V, HW: [], - stretch: {top:[0x21BE,AMS,.12,0,1.1], ext:[0x23D0,SIZE1], bot:[0x21C2,AMS,.12,0,1.1]} + stretch: {min:.5, top:[0x21BE,AMS,.12,0,1.1], ext:[0x23D0,SIZE1], bot:[0x21C2,AMS,.12,0,1.1]} }, 0x2950: // left barb dow right barb down harpoon { dir: H, HW: [], - stretch: {left:[0x21BD,MAIN], rep:[0x2212,MAIN], right:[0x21C1,MAIN]} + stretch: {min:.5, left:[0x21BD,MAIN], rep:[0x2212,MAIN], right:[0x21C1,MAIN]} }, 0x2951: // up barb left down barb left harpoon { dir: V, HW: [], - stretch: {top:[0x21BF,AMS,.12,0,1.1], ext:[0x23D0,SIZE1], bot:[0x21C3,AMS,.12,0,1.1]} + stretch: {min:.5, top:[0x21BF,AMS,.12,0,1.1], ext:[0x23D0,SIZE1], bot:[0x21C3,AMS,.12,0,1.1]} }, 0x295A: // leftwards harpoon with barb up from bar { dir: H, HW: [], - stretch: {left:[0x21BC,MAIN], rep:[0x2212,MAIN], right:[0x2223,SIZE1,0,-.05,.9]} + stretch: {min:1, left:[0x21BC,MAIN], rep:[0x2212,MAIN], right:[0x2223,SIZE1,0,-.05,.9]} }, 0x295B: // rightwards harpoon with barb up from bar { dir: H, HW: [], - stretch: {left:[0x2223,SIZE1,-.09,-.05,.9], rep:[0x2212,MAIN], right:[0x21C0,MAIN]} + stretch: {min:1, left:[0x2223,SIZE1,-.05,-.05,.9], rep:[0x2212,MAIN], right:[0x21C0,MAIN]} }, 0x295C: // up harpoon with barb right from bar { dir: V, HW: [], - stretch: {bot:[0x22A5,BOLD,0,0,.75], ext:[0x23D0,SIZE1], top:[0x21BE,AMS,.12,0,1.1]} + stretch: {min:.7, bot:[0x22A5,BOLD,0,0,.75], ext:[0x23D0,SIZE1], top:[0x21BE,AMS,.12,0,1.1]} }, 0x295D: // down harpoon with barb right from bar { dir: V, HW: [], - stretch: {top:[0x22A4,BOLD,0,0,.75], ext:[0x23D0,SIZE1], bot:[0x21C2,AMS,.12,0,1.1]} + stretch: {min:.7, top:[0x22A4,BOLD,0,0,.75], ext:[0x23D0,SIZE1], bot:[0x21C2,AMS,.12,0,1.1]} }, 0x295E: // leftwards harpoon with barb down from bar { dir: H, HW: [], - stretch: {left:[0x21BD,MAIN], rep:[0x2212,MAIN], right:[0x2223,SIZE1,0,-.05,.9]} + stretch: {min:1, left:[0x21BD,MAIN], rep:[0x2212,MAIN], right:[0x2223,SIZE1,0,-.05,.9]} }, 0x295F: // rightwards harpoon with barb down from bar { dir: H, HW: [], - stretch: {left:[0x2223,SIZE1,-.09,-.05,.9], rep:[0x2212,MAIN], right:[0x21C1,MAIN]} + stretch: {min:1, left:[0x2223,SIZE1,-.05,-.05,.9], rep:[0x2212,MAIN], right:[0x21C1,MAIN]} }, 0x2960: // up harpoon with barb left from bar { dir: V, HW: [], - stretch: {bot:[0x22A5,BOLD,0,0,.75], ext:[0x23D0,SIZE1], top:[0x21BF,AMS,.12,0,1.1]} + stretch: {min:.7, bot:[0x22A5,BOLD,0,0,.75], ext:[0x23D0,SIZE1], top:[0x21BF,AMS,.12,0,1.1]} }, 0x2961: // down harpoon with barb left from bar { dir: V, HW: [], - stretch: {top:[0x22A4,BOLD,0,0,.75], ext:[0x23D0,SIZE1], bot:[0x21C3,AMS,.12,0,1.1]} + stretch: {min:.7, top:[0x22A4,BOLD,0,0,.75], ext:[0x23D0,SIZE1], bot:[0x21C3,AMS,.12,0,1.1]} } }; diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js index 150de76bd..b86431d37 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js @@ -23,7 +23,7 @@ */ (function (HTMLCSS,MML,AJAX) { - var VERSION = "2.0"; + var VERSION = "2.0.4"; var MAIN = "MathJax_Main", BOLD = "MathJax_Main-bold", @@ -71,12 +71,18 @@ offsetG: 0x03B1, variantG: "italic", remap: {0x391:0x41, 0x392:0x42, 0x395:0x45, 0x396:0x5A, 0x397:0x48, 0x399:0x49, 0x39A:0x4B, 0x39C:0x4D, 0x39D:0x4E, 0x39F:0x4F, - 0x3A1:0x50, 0x3A4:0x54, 0x3A7:0x58, 0x29F8:[0x002F,"italic"]}}, + 0x3A1:0x50, 0x3A4:0x54, 0x3A7:0x58, + 0x2216:[0x2216,"-TeX-variant"], // \smallsetminus + 0x210F:[0x210F,"-TeX-variant"], // \hbar + 0x2032:[0x27,"sans-serif-italic"], // HACK: a smaller prime + 0x29F8:[0x002F,MML.VARIANT.ITALIC]}}, "bold": {fonts:[BOLD,SIZE1,AMS], bold:true, offsetG: 0x03B1, variantG: "bold-italic", remap: {0x391:0x41, 0x392:0x42, 0x395:0x45, 0x396:0x5A, 0x397:0x48, 0x399:0x49, 0x39A:0x4B, 0x39C:0x4D, 0x39D:0x4E, 0x39F:0x4F, 0x3A1:0x50, 0x3A4:0x54, 0x3A7:0x58, 0x29F8:[0x002F,"bold-italic"], + 0x219A:"\u2190\u0338", 0x219B:"\u2192\u0338", 0x21AE:"\u2194\u0338", + 0x21CD:"\u21D0\u0338", 0x21CE:"\u21D4\u0338", 0x21CF:"\u21D2\u0338", 0x2204:"\u2203\u0338", 0x2224:"\u2223\u0338", 0x2226:"\u2225\u0338", 0x2241:"\u223C\u0338", 0x2247:"\u2245\u0338", 0x226E:"<\u0338", 0x226F:">\u0338", @@ -113,6 +119,15 @@ remap: {0x391:0x41, 0x392:0x42, 0x395:0x45, 0x396:0x5A, 0x397:0x48, 0x399:0x49, 0x39A:0x4B, 0x39C:0x4D, 0x39D:0x4E, 0x39F:0x4F, 0x3A1:0x50, 0x3A4:0x54, 0x3A7:0x58}}, + "-TeX-variant": {fonts:[AMS,MAIN,SIZE1], // HACK: to get larger prime for \prime + remap: { + 0x2268: 0xE00C, 0x2269: 0xE00D, 0x2270: 0xE011, 0x2271: 0xE00E, + 0x2A87: 0xE010, 0x2A88: 0xE00F, 0x2224: 0xE006, 0x2226: 0xE007, + 0x2288: 0xE016, 0x2289: 0xE018, 0x228A: 0xE01A, 0x228B: 0xE01B, + 0x2ACB: 0xE017, 0x2ACC: 0xE019, 0x03DC: 0xE008, 0x03F0: 0xE009, + 0x2216:[0x2216,MML.VARIANT.NORMAL], // \setminus + 0x210F:[0x210F,MML.VARIANT.NORMAL] // \hslash + }}, "-largeOp": {fonts:[SIZE2,SIZE1,MAIN]}, "-smallOp": {fonts:[SIZE1,MAIN]} }, @@ -141,13 +156,16 @@ 0x2022: 0x2219, 0x2044: 0x2F, // bullet, fraction slash 0x2305: 0x22BC, 0x2306: 0x2A5E, // barwedge, doublebarwedge 0x25AA: 0x25A0, 0x25B4: 0x25B2, // blacksquare, blacktriangle - 0x25B5: 0x25B3, 0x25BE: 0x25BC, // triangle, blacktriangledown - 0x25BF: 0x25BD, 0x25C2: 0x25C0, // triangledown, blacktriangleleft + 0x25B5: 0x25B3, 0x25B8: 0x25B6, // triangle, blacktriangleright + 0x25BE: 0x25BC, 0x25BF: 0x25BD, // blacktriangledown, triangledown + 0x25C2: 0x25C0, // blacktriangleleft 0x2329: 0x27E8, 0x232A: 0x27E9, // langle, rangle 0x3008: 0x27E8, 0x3009: 0x27E9, // langle, rangle 0x2758: 0x2223, // VerticalSeparator 0x2A2F: 0xD7, // cross product + 0x25FB: 0x25A1, 0x25FC: 0x25A0, // square, blacksquare + // // Letter-like symbols (that appear elsewhere) // @@ -186,9 +204,10 @@ // 0x2204: "\u2203\u0338", // \not\exists 0x220C: "\u220B\u0338", // \not\ni - 0x2244: "\u2243\u0338", // \not\cong + 0x2244: "\u2243\u0338", // \not\simeq 0x2249: "\u2248\u0338", // \not\approx 0x2262: "\u2261\u0338", // \not\equiv + 0x226D: "\u224D\u0338", // \not\asymp 0x2274: "\u2272\u0338", // \not\lesssim 0x2275: "\u2273\u0338", // \not\gtrsim 0x2278: "\u2276\u0338", // \not\lessgtr @@ -198,15 +217,21 @@ 0x22E2: "\u2291\u0338", // \not\sqsubseteq 0x22E3: "\u2292\u0338", // \not\sqsupseteq + 0x2A0C: "\u222C\u222C", // quadruple integral + 0x2033: "\u2032\u2032", // double prime 0x2034: "\u2032\u2032\u2032", // triple prime 0x2036: "\u2035\u2035", // double back prime 0x2037: "\u2035\u2035\u2035", // trile back prime - 0x2057: "\u2032\u2032\u2032\u2032" // quadruple prime + 0x2057: "\u2032\u2032\u2032\u2032", // quadruple prime + 0x20DB: "...", // combining three dots above (only works with mover/under) + 0x20DC: "...." // combining four dots above (only works with mover/under) }, REMAPACCENT: { - "\u2192":"\u20D7" + "\u2192":"\u20D7", + "\u2032":"'", + "\u2035":"`" }, REMAPACCENTUNDER: { }, @@ -449,12 +474,12 @@ 0x23DE: // horizontal brace down { dir: H, HW: [], - stretch: {left:[0xE150,SIZE4], mid:[[0xE153,0xE152],SIZE4], right:[0xE151,SIZE4], rep:[0xE154,SIZE4]} + stretch: {min:.9, left:[0xE150,SIZE4], mid:[[0xE153,0xE152],SIZE4], right:[0xE151,SIZE4], rep:[0xE154,SIZE4]} }, 0x23DF: // horizontal brace up { dir: H, HW: [], - stretch: {left:[0xE152,SIZE4], mid:[[0xE151,0xE150],SIZE4], right:[0xE153,SIZE4], rep:[0xE154,SIZE4]} + stretch: {min:.9, left:[0xE152,SIZE4], mid:[[0xE151,0xE150],SIZE4], right:[0xE153,SIZE4], rep:[0xE154,SIZE4]} }, 0x27E8: // \langle { @@ -564,13 +589,6 @@ } }; - MathJax.Hub.Register.StartupHook("TeX Jax Ready", function () { - var TEX = MathJax.InputJax.TeX; - TEX.Definitions.mathchar0mi.ell = ['2113',{mathvariant: MML.VARIANT.NORMAL}]; - TEX.Definitions.mathchar0mi.hbar = ['210F',{mathvariant: MML.VARIANT.NORMAL}]; - TEX.Definitions.mathchar0mi.S = ['00A7',{mathvariant: MML.VARIANT.SCRIPT}]; - }); - HTMLCSS.FONTDATA.FONTS['MathJax_Caligraphic'] = { directory: 'Caligraphic/Regular', family: 'MathJax_Caligraphic', @@ -1790,6 +1808,11 @@ "bold": VARBOLD, "italic": VARNORMAL, "bold-italic": VARBOLD, + "-TeX-variant": {remap:{ + 0x2190:[0xE2C1,"-WinIE6"], 0x2192:[0xE2C0,"-WinIE6"], + 0x2223:[0xE2C2,"-WinIE6"], 0x2225:[0xE2C3,"-WinIE6"], + 0x223C:[0xE2C4,"-WinIE6"], 0x25B3:[0xE2D3,"-WinIE6"] + }}, "-largeOp": {fonts:[WinIE6,SIZE2,SIZE1,MAIN], remap: {0x220F:0xE290, 0x2211:0xE291, 0x222B:0xE295, 0x222E:0xE296}}, "-smallOp": {fonts:[WinIE6,SIZE1,MAIN], diff --git a/unpacked/jax/output/HTML-CSS/jax.js b/unpacked/jax/output/HTML-CSS/jax.js index edacdc5e0..5119f4879 100644 --- a/unpacked/jax/output/HTML-CSS/jax.js +++ b/unpacked/jax/output/HTML-CSS/jax.js @@ -449,13 +449,13 @@ // Remove any existing output // prev = script.previousSibling; - if (prev && String(prev.className).match(/^MathJax(_Display)?$/)) + if (prev && String(prev.className).match(/^MathJax(_Display)?( MathJax_Processing)?$/)) {prev.parentNode.removeChild(prev)} // // Add the span, and a div if in display mode, // then set the role and mark it as being processed // - jax = script.MathJax.elementJax; + jax = script.MathJax.elementJax; if (!jax) continue; jax.HTMLCSS = {display: (jax.root.Get("display") === "block")} span = div = this.Element("span",{ className:"MathJax", id:jax.inputID+"-Frame", isMathJax:true, jaxID:this.id, @@ -491,7 +491,7 @@ for (i = 0; i < m; i++) { script = scripts[i]; if (!script.parentNode) continue; test = script.previousSibling; div = test.previousSibling; - jax = script.MathJax.elementJax; + jax = script.MathJax.elementJax; if (!jax) continue; ex = test.firstChild.offsetHeight/60; em = test.lastChild.firstChild.offsetHeight/60; if (relwidth) {maxwidth = div.previousSibling.firstChild.offsetWidth} @@ -513,7 +513,8 @@ // for (i = 0; i < m; i++) { script = scripts[i]; if (!script.parentNode) continue; - test = scripts[i].previousSibling; jax = scripts[i].MathJax.elementJax; + test = scripts[i].previousSibling; + jax = scripts[i].MathJax.elementJax; if (!jax) continue; if (relwidth) { span = test.previousSibling; if (!jax.HTMLCSS.isHidden) {span = span.previousSibling} @@ -524,7 +525,7 @@ // // Set state variables used for displaying equations in chunks // - state.HTMLCSSeqn = state.HTMLCSSlast = 0; + state.HTMLCSSeqn = state.HTMLCSSlast = 0; state.HTMLCSSi = -1; state.HTMLCSSchunk = this.config.EqnChunk; state.HTMLCSSdelay = false; }, @@ -583,7 +584,7 @@ // // Check if we should show this chunk of equations // - state.HTMLCSSeqn++; + state.HTMLCSSeqn += (state.i - state.HTMLCSSi); state.HTMLCSSi = state.i; if (state.HTMLCSSeqn >= state.HTMLCSSlast + state.HTMLCSSchunk) { this.postTranslate(state); state.HTMLCSSchunk = Math.floor(state.HTMLCSSchunk*this.config.EqnChunkFactor); @@ -600,7 +601,7 @@ // for (var i = state.HTMLCSSlast, m = state.HTMLCSSeqn; i < m; i++) { var script = scripts[i]; - if (script) { + if (script && script.MathJax.elementJax) { // // Remove the processed marker // @@ -806,6 +807,16 @@ if (Math.abs(m) < .0006) {return "0em"} return m.toFixed(3).replace(/\.?0+$/,"") + "em"; }, + unEm: function (m) { + return parseFloat(m); + }, + Px: function (m) { + m *= this.em; var s = (m < 0? "-" : ""); + return s+Math.abs(m).toFixed(1).replace(/\.?0+$/,"") + "px"; + }, + unPx: function (m) { + return parseFloat(m)/this.em; + }, Percent: function (m) { return (100*m).toFixed(1).replace(/\.?0+$/,"") + "%"; }, @@ -893,17 +904,13 @@ if (before) {span.insertBefore(space,span.firstChild)} else {span.appendChild(space)} return space; }, - createSpace: function (span,h,d,w,color) { + createSpace: function (span,h,d,w,color,isSpace) { if (h < -d) {d = -h} // make sure h is above d var H = this.Em(h+d), D = this.Em(-d); if (this.msieInlineBlockAlignBug) {D = this.Em(HTMLCSS.getHD(span.parentNode).d-d)} - if (span.isBox || span.className == "mspace") { - var scale = (span.scale == null ? 1 : span.scale); - span.bbox = { - exactW: true, - h: h*scale, d: d*scale, - w: w*scale, rw: w*scale, lw: 0 - }; + if (span.isBox || isSpace) { + var scale = (span.scale == null ? 1 : span.scale); + span.bbox = {exactW: true, h: h*scale, d: d*scale, w: w*scale, rw: w*scale, lw: 0}; span.style.height = H; span.style.verticalAlign = D; span.HH = (h+d)*scale; } else { @@ -981,7 +988,7 @@ return box; }, addBox: function (span,box) { - box.style.position = "absolute"; box.isBox = true; + box.style.position = "absolute"; box.isBox = box.isMathJax = true; return span.appendChild(box); }, placeBox: function (span,x,y,noclip) { @@ -996,6 +1003,7 @@ else {HH = span.offsetHeight/this.em} if (!span.noAdjust) { HH += 1; + HH = Math.round(HH*this.em)/this.em; // make this an integer number of pixels (for Chrome) if (this.msieInlineBlockAlignBug) { this.addElement(span,"img",{ className:"MathJax_strut", border:0, src:"about:blank", isMathJax:true, @@ -1005,6 +1013,8 @@ this.addElement(span,"span",{ isMathJax: true, style:{display:"inline-block",width:0,height:this.Em(HH)} }); + if (HTMLCSS.chromeHeightBug) + {HH -= (span.lastChild.offsetHeight - Math.round(HH*this.em))/this.em} } } // Clip so that bbox doesn't include extra height and depth @@ -1112,6 +1122,7 @@ mid = this.createBox(stack); this.createChar(mid,delim.mid,scale,font); h += mid.bbox.h + mid.bbox.d; } + if (delim.min && H < h*delim.min) {H = h*delim.min} if (H > h) { ext = this.Element("span"); this.createChar(ext,delim.ext,scale,font); var eH = ext.bbox.h + ext.bbox.d, eh = eH - .05, n, N, k = (delim.mid ? 2 : 1); @@ -1122,6 +1133,7 @@ while (n-- > 0) { if (!this.msieCloneNodeBug) {EXT = ext.cloneNode(true)} else {EXT = this.Element("span"); this.createChar(EXT,delim.ext,scale,font)} + EXT.bbox = ext.bbox; y -= eh; this.placeBox(this.addBox(stack,EXT),0,y,true); } y += dy - ext.bbox.d; @@ -1161,6 +1173,7 @@ mid = this.createBox(stack); this.createChar(mid,delim.mid,scale,font); w += mid.bbox.w; } + if (delim.min && W < w*delim.min) {W = w*delim.min} if (W > w) { var rW = rep.bbox.rw-rep.bbox.lw, rw = rW - .05, n, N, k = (delim.mid ? 2 : 1); N = n = Math.ceil((W-w)/(k*rw)); @@ -1168,15 +1181,17 @@ dx = (n/(n+1))*(rW - rw); rw = rW - dx; x -= rep.bbox.lw + dx; while (k-- > 0) { while (n-- > 0) { - if (!this.msieCloneNodeBug) {REP = rep.cloneNode(true)} + if (!this.cloneNodeBug) {REP = rep.cloneNode(true)} else {REP = this.Element("span"); this.createChar(REP,delim.rep,scale,font)} + REP.bbox = rep.bbox; this.placeBox(this.addBox(stack,REP),x,0,true); x += rw; } if (delim.mid && k) {this.placeBox(mid,x,0,true); x += mid.bbox.w - dx; n = N} } } else { - dx = Math.min(w - W,left.bbox.w/2); - x -= dx/2; if (delim.mid) {this.placeBox(mid,x,0,true); x += mid.bbox.w}; x -= dx/2; + x -= (w - W)/2; + if (delim.mid) {this.placeBox(mid,x,0,true); x += mid.bbox.w}; + x -= (w - W)/2; } this.placeBox(right,x,0,true); span.bbox = { @@ -1219,7 +1234,7 @@ if (this.safariVerticalAlignBug || this.konquerorVerticalAlignBug || (this.operaVerticalAlignBug && span.isMultiChar)) { if (span.firstChild.style.display === "" && span.style.top !== "") - {span = span.firstChild; h -= parseFloat(span.style.top)} + {span = span.firstChild; h -= HTMLCSS.unEm(span.style.top)} span.style.position = "relative"; span.style.top = this.Em(-h); } else { @@ -1335,6 +1350,10 @@ if (text.length) {this.addText(span,text)} var scale = span.scale; HTMLCSS.createDelimiter(span,n,0,1,font); + if (this.FONTDATA.DELIMITERS[n].dir === "V") { + span.style.verticalAlign = this.Em(span.bbox.d); + span.bbox.h += span.bbox.d; span.bbox.d = 0; + } span.scale = scale; c[0] = span.bbox.h*1000; c[1] = span.bbox.d*1000; c[2] = span.bbox.w*1000; c[3] = span.bbox.lw*1000; c[4] = span.bbox.rw*1000; @@ -1553,11 +1572,11 @@ if (bbox.h > BBOX.h) {BBOX.h = bbox.h} if (bbox.D != null && bbox.D > BBOX.D) {BBOX.D = bbox.D} if (bbox.H != null && bbox.H > BBOX.H) {BBOX.H = bbox.H} - if (child.style.paddingLeft) {BBOX.w += parseFloat(child.style.paddingLeft)*(child.scale||1)} + if (child.style.paddingLeft) {BBOX.w += HTMLCSS.unEm(child.style.paddingLeft)*(child.scale||1)} if (BBOX.w + bbox.lw < BBOX.lw) {BBOX.lw = BBOX.w + bbox.lw} if (BBOX.w + bbox.rw > BBOX.rw) {BBOX.rw = BBOX.w + bbox.rw} BBOX.w += bbox.w; - if (child.style.paddingRight) {BBOX.w += parseFloat(child.style.paddingRight)*(child.scale||1)} + if (child.style.paddingRight) {BBOX.w += HTMLCSS.unEm(child.style.paddingRight)*(child.scale||1)} if (bbox.width) {BBOX.width = bbox.width} if (bbox.ic) {BBOX.ic = bbox.ic} else {delete BBOX.ic} if (BBOX.exactW && !bbox.exactW) {delete BBOX.exactW} @@ -1574,7 +1593,10 @@ }, HTMLzeroBBox: function () {return {h:0, d:0, w:0, lw: 0, rw:0}}, HTMLcanStretch: function (direction) { - if (this.isEmbellished()) {return this.Core().HTMLcanStretch(direction)} + if (this.isEmbellished()) { + var core = this.Core(); + if (core && core !== this) {return core.HTMLcanStretch(direction)} + } return false; }, HTMLstretchH: function (box,W) {return this.HTMLspanElement()}, @@ -1600,10 +1622,10 @@ HTMLcreateSpan: function (span) { if (this.spanID) { var SPAN = this.HTMLspanElement(); - if (SPAN) { + if (SPAN && (SPAN.parentNode === span || (SPAN.parentNode||{}).parentNode === span)) { while (SPAN.firstChild) {SPAN.removeChild(SPAN.firstChild)} SPAN.bbox = {w:0, h:0, d:0, lw:0, rw:0}; - SPAN.scale = 1; SPAN.isMultChar = null; + SPAN.scale = 1; SPAN.isMultChar = SPAN.HH = null; SPAN.style.cssText = ""; return SPAN; } @@ -1657,8 +1679,8 @@ var bbox = span.bbox, dd = (bbox.exact ? 0 : 1/HTMLCSS.em), lW = 0, rW = 0, lpad = span.style.paddingLeft, rpad = span.style.paddingRight; if (this.isToken) {lW = bbox.lw; rW = bbox.rw - bbox.w} - if (lpad !== "") {lW += parseFloat(lpad)*(span.scale||1)} - if (rpad !== "") {rW -= parseFloat(rpad)*(span.scale||1)} + if (lpad !== "") {lW += HTMLCSS.unEm(lpad)*(span.scale||1)} + if (rpad !== "") {rW -= HTMLCSS.unEm(rpad)*(span.scale||1)} var dw = (HTMLCSS.PaddingWidthBug || bbox.keepPadding || bbox.exactW ? 0 : rW - lW); var W = Math.max(0,HTMLCSS.getW(span) + dw); var H = bbox.h + bbox.d, D = -bbox.d, lp = 0, rp = 0; @@ -1730,7 +1752,7 @@ var space = this.texSpacing(); if (space !== "") { space = HTMLCSS.length2em(space,this.HTMLgetScale())/(span.scale||1); - if (span.style.paddingLeft) {space += parseFloat(span.style.paddingLeft)} + if (span.style.paddingLeft) {space += HTMLCSS.unEm(span.style.paddingLeft)} span.style.paddingLeft = HTMLCSS.Em(space); } } @@ -1749,7 +1771,7 @@ values.scriptminsize = HTMLCSS.length2em(this.Get("scriptminsize")); if (scale < values.scriptminsize) {scale = values.scriptminsize} } - scale *= HTMLCSS.length2em(values.mathsize); + if (this.isToken) {scale *= HTMLCSS.length2em(values.mathsize)} return scale; }, HTMLgetMu: function (span) { @@ -1840,9 +1862,11 @@ toHTML: function (span,variant,remap,chars) { var text = this.data.join("").replace(/[\u2061-\u2064]/g,""); // remove invisibles if (remap) {text = remap(text,chars)} - if (!variant) { + if (variant.fontInherit) { var scale = Math.floor(100/HTMLCSS.scale+.5) + "%"; HTMLCSS.addElement(span,"span",{style:{"font-size":scale}},[text]); + if (variant.bold) {span.lastChild.style.fontWeight = "bold"} + if (variant.italic) {span.lastChild.style.fontStyle = "italic"} var HD = HTMLCSS.getHD(span), W = HTMLCSS.getW(span); span.bbox = {h:HD.h, d:HD.d, w:W, lw:0, rw:W, exactW: true}; } else { @@ -1851,11 +1875,14 @@ } }); MML.entity.Augment({ - toHTML: function (span,variant) { + toHTML: function (span,variant,remap,chars) { var text = this.toString().replace(/[\u2061-\u2064]/g,""); // remove invisibles - if (!variant) { + if (remap) {text = remap(text,chars)} + if (variant.fontInherit) { var scale = Math.floor(100/HTMLCSS.scale+.5) + "%"; HTMLCSS.addElement(span,"span",{style:{"font-size":scale}},[text]); + if (variant.bold) {span.lastChild.style.fontWeight = "bold"} + if (variant.italic) {span.lastChild.style.fontStyle = "italic"} var HD = HTMLCSS.getHD(span), W = HTMLCSS.getW(span); span.bbox = {h:HD.h, d:HD.d, w:W, lw:0, rw:W, exactW: true}; } else { @@ -1923,10 +1950,10 @@ else if (under && this === under.CoreMO() && parent.Get("accentunder")) {mapchars = HTMLCSS.FONTDATA.REMAPACCENTUNDER} } // - // STIX fonts need quotes from variant font + // STIX and TeX fonts need quotes from variant font // - if (isScript && HTMLCSS.fontInUse === "STIX" && text.match(/['`"\u00B4\u2032-\u2037]/)) - {variant = HTMLCSS.FONTDATA.VARIANT["-STIX-variant"]} + if (isScript && text.match(/['`"\u00B4\u2032-\u2037\u2057]/)) + {variant = HTMLCSS.FONTDATA.VARIANT["-"+HTMLCSS.fontInUse+"-variant"]} // // Typeset contents // @@ -1948,7 +1975,7 @@ var p = (span.bbox.h - span.bbox.d)/2 - HTMLCSS.TeX.axis_height*span.scale; if (HTMLCSS.safariVerticalAlignBug && span.lastChild.nodeName === "IMG") { span.lastChild.style.verticalAlign = - HTMLCSS.Em(parseFloat(span.lastChild.style.verticalAlign||0)/HTMLCSS.em-p/span.scale); + HTMLCSS.Em(HTMLCSS.unEm(span.lastChild.style.verticalAlign||0)/HTMLCSS.em-p/span.scale); } else if (HTMLCSS.konquerorVerticalAlignBug && span.lastChild.nodeName === "IMG") { span.style.position = "relative"; span.lastChild.style.position="relative"; @@ -1973,14 +2000,14 @@ CoreParent: function () { var parent = this; while (parent && parent.isEmbellished() && - parent.CoreMO() === this && !parent.isa(MML.math)) {parent = parent.Parent()} + parent.CoreMO() === this && !parent.isa(MML.math)) {parent = parent.Parent()} return parent; }, CoreText: function (parent) { if (!parent) {return ""} if (parent.isEmbellished()) {return parent.CoreMO().data.join("")} - while (parent.isa(MML.mrow) && parent.data.length === 1 && parent.data[0]) - {parent = parent.data[0]} + while ((parent.isa(MML.mrow) || parent.isa(MML.TeXAtom)) && + parent.data.length === 1 && parent.data[0]) {parent = parent.data[0]} if (!parent.isToken) {return ""} else {return parent.data.join("")} }, HTMLremapChars: { @@ -2055,7 +2082,8 @@ span = this.HTMLhandleSize(this.HTMLcreateSpan(span)); var variant = this.HTMLgetVariant(); // Avoid setting the font style for error text or if mtextFontInherit is set - if (HTMLCSS.config.mtextFontInherit || this.Parent().type === "merror") {variant = null} + if (HTMLCSS.config.mtextFontInherit || this.Parent().type === "merror") + {variant = {bold:variant.bold, italic:variant.italic, fontInherit: true}} for (var i = 0, m = this.data.length; i < m; i++) {if (this.data[i]) {this.data[i].toHTML(span,variant)}} if (!span.bbox) {span.bbox = {w:0, h:0, d:0, rw:0, lw:0}} @@ -2086,15 +2114,15 @@ MML.mspace.Augment({ toHTML: function (span) { - span = this.HTMLhandleSize(this.HTMLcreateSpan(span)); + span = this.HTMLcreateSpan(span); var values = this.getValues("height","depth","width"); var mu = this.HTMLgetMu(span); values.mathbackground = this.mathbackground; if (this.background && !this.mathbackground) {values.mathbackground = this.background} - var h = HTMLCSS.length2em(values.height,mu) / span.scale, - d = HTMLCSS.length2em(values.depth,mu) / span.scale, - w = HTMLCSS.length2em(values.width,mu) / span.scale; - HTMLCSS.createSpace(span,h,d,w,values.mathbackground); + var h = HTMLCSS.length2em(values.height,mu), + d = HTMLCSS.length2em(values.depth,mu), + w = HTMLCSS.length2em(values.width,mu); + HTMLCSS.createSpace(span,h,d,w,values.mathbackground,true); return span; } }); @@ -2254,8 +2282,8 @@ HTMLhandleSpace: function (span) { if (!this.texWithDelims) { var space = (this.useMMLspacing ? 0 : HTMLCSS.length2em(this.texSpacing()||0)) + .12; - span.style.paddingLeft = HTMLCSS.Em(space); - span.style.paddingRight = ".12em"; + span.style.paddingLeft = HTMLCSS.Em(space); + span.style.paddingRight = HTMLCSS.Em(.12); } } }); @@ -2281,7 +2309,7 @@ if (surd.bbox.h + surd.bbox.d > H) {q = ((surd.bbox.h+surd.bbox.d) - (H-t))/2} var ruleC = HTMLCSS.FONTDATA.DELIMITERS[HTMLCSS.FONTDATA.RULECHAR]; if (!ruleC || W < ruleC.HW[0][0]*scale || scale < .75) { - HTMLCSS.createRule(rule,t,0,W); + HTMLCSS.createRule(rule,0,t,W); } else { HTMLCSS.createDelimiter(rule,HTMLCSS.FONTDATA.RULECHAR,W,scale); } @@ -2365,23 +2393,19 @@ MML.maction.Augment({toHTML: MML.mbase.HTMLautoload}); MML.semantics.Augment({ - toHTML: function (span) { + toHTML: function (span,HW,D) { + span = this.HTMLcreateSpan(span); if (this.data[0] != null) { - span = this.data[0].toHTML(span); - this.spanID = this.data[0].spanID; - this.HTMLhandleSpace(span); + var SPAN = this.data[0].toHTML(span); + if (D != null) {this.data[0].HTMLstretchV(span,HW,D)} + else if (HW != null) {this.data[0].HTMLstretchH(span,HW)} + span.bbox = SPAN.bbox; } + this.HTMLhandleSpace(span); return span; }, - HTMLspanElement: function () { - return (this.data[0] != null ? this.data[0].HTMLspanElement() : null); - }, - HTMLstretchH: function (box,w) { - return (this.data[0] != null ? this.data[0].HTMLstretchH(box,w) : box); - }, - HTMLstretchV: function (box,h,d) { - return (this.data[0] != null ? this.data[0].HTMLstretchV(box,h,d) : box); - } + HTMLstretchH: MML.mbase.HTMLstretchH, + HTMLstretchV: MML.mbase.HTMLstretchV }); MML.munderover.Augment({ @@ -2432,7 +2456,7 @@ var accent = (i != this.base && values[this.ACCENTS[i]]); if (accent && box.bbox.w <= 1/HTMLCSS.em+.0001) { // images can get the width off by 1px box.bbox.w = box.bbox.rw - box.bbox.lw; box.bbox.noclip = true; - if (box.bbox.lw && !HTMLCSS.zeroWidthBug) + if (box.bbox.lw) {box.insertBefore(HTMLCSS.createSpace(box.parentNode,0,0,-box.bbox.lw),box.firstChild)} HTMLCSS.createBlank(box,0,0,box.bbox.rw+.1); } @@ -2564,9 +2588,11 @@ } MML.mbase.prototype.displayAlign = HUB.config.displayAlign; MML.mbase.prototype.displayIndent = HUB.config.displayIndent; - math = HTMLCSS.Measured(this.data[0].toHTML(box),box); + var html = this.data[0].toHTML(box); html.bbox.exactW = false; // force remeasure just to be sure + math = HTMLCSS.Measured(html,box); } HTMLCSS.placeBox(box,0,0); + stack.style.width = Math.round(HTMLCSS.unEm(stack.style.width)*this.em)+"px"; // get width right if minimum font size is set // // Adjust bbox to match outer em-size // @@ -2672,12 +2698,11 @@ msiePlaceBoxBug: (isIE8 && !quirks), msieClipRectBug: !isIE8, msieNegativeSpaceBug: quirks, - msieCloneNodeBug: (isIE8 && browser.version === "8.0"), + cloneNodeBug: (isIE8 && browser.version === "8.0"), initialSkipBug: (mode < 8), // confused by initial left-margin values msieNegativeBBoxBug: (mode >= 8), // negative bboxes have positive widths msieIE6: !isIE7, msieItalicWidthBug: true, - zeroWidthBug: (mode < 8), FontFaceBug: true, msieFontCSSBug: browser.isIE9, allowWebFonts: (mode >= 9 ? "woff" : "eot") @@ -2749,6 +2774,10 @@ Chrome: function (browser) { HTMLCSS.Augment({ + Em: HTMLCSS.Px, // vertical alignment is better in pixels (since around v20) + unEm: HTMLCSS.unPx, + chromeHeightBug: true, // heights can be 1px off from the explicitly set size + cloneNodeBug: true, // Chrome gets heights wrong with the cloned ones rfuzz: .011, AccentBug: true, AdjustSurd: true, @@ -2769,7 +2798,6 @@ operaVerticalAlignBug: true, operaFontSizeBug: browser.versionAtLeast("10.61"), initialSkipBug: true, - zeroWidthBug: true, FontFaceBug: true, PaddingWidthBug: true, allowWebFonts: (browser.versionAtLeast("10.0") && !browser.isMini ? "otf" : false), diff --git a/unpacked/jax/output/NativeMML/config.js b/unpacked/jax/output/NativeMML/config.js index 37659df45..8b79bb680 100644 --- a/unpacked/jax/output/NativeMML/config.js +++ b/unpacked/jax/output/NativeMML/config.js @@ -24,7 +24,7 @@ MathJax.OutputJax.NativeMML = MathJax.OutputJax({ id: "NativeMML", - version: "2.0.1", + version: "2.0.5", directory: MathJax.OutputJax.directory + "/NativeMML", extensionDir: MathJax.OutputJax.extensionDir + "/NativeMML", diff --git a/unpacked/jax/output/NativeMML/jax.js b/unpacked/jax/output/NativeMML/jax.js index 636f47694..19a6e9985 100644 --- a/unpacked/jax/output/NativeMML/jax.js +++ b/unpacked/jax/output/NativeMML/jax.js @@ -35,6 +35,32 @@ // config: { styles: { + ".MathJax_MathML": { + "font-style": "normal", + "font-weight": "normal", + "line-height": "normal", + "font-size": "100%", + "font-size-adjust":"none", + "text-indent": 0, + "text-align": "left", + "text-transform": "none", + "letter-spacing": "normal", + "word-spacing": "normal", + "word-wrap": "normal", + "white-space": "nowrap", + "float": "none", + "direction": "ltr", + border: 0, padding: 0, margin: 0 + }, + + "span.MathJax_MathML": { + display: "inline" + }, + + "div.MathJax_MathML": { + display: "block" + }, + ".MathJax_mmlExBox": { display:"block", overflow:"hidden", height:"1px", width:"60ex", @@ -149,7 +175,8 @@ // // Add the MathJax span // - jax = script.MathJax.elementJax; math = jax.root; jax.NativeMML = {}; + jax = script.MathJax.elementJax; if (!jax) continue; + math = jax.root; jax.NativeMML = {}; var type = (math.Get("display") === "block" ? "div" : "span"); span = HTML.Element(type,{ className: "MathJax_MathML", id:jax.inputID+"-Frame" @@ -170,7 +197,7 @@ // for (i = 0; i < m; i++) { script = scripts[i]; if (!script.parentNode) continue; - jax = script.MathJax.elementJax; + jax = script.MathJax.elementJax; if (!jax) continue; if (!isMSIE) { test = script.previousSibling; span = test.previousSibling; ex = test.firstChild.offsetWidth/60; @@ -186,7 +213,7 @@ // if (!isMSIE) { for (i = 0; i < m; i++) { - script = scripts[i]; if (!script.parentNode) continue; + script = scripts[i]; if (!script.parentNode || !script.MathJax.elementJax) continue; test = scripts[i].previousSibling; test.parentNode.removeChild(test); } @@ -233,6 +260,10 @@ container.onmousedown = EVENT.Mousedown; container.onclick = EVENT.Click; container.ondblclick = EVENT.DblClick; + if (HUB.Browser.noContextMenu) { + container.ontouchstart = TOUCH.start; + container.ontouchend = TOUCH.end; + } } }, @@ -400,7 +431,7 @@ value = String(value); if (nMML.NAMEDSPACE[value]) {value = nMML.NAMEDSPACE[value]} // MP doesn't do negative spaces else if (value.match(/^\s*(([-+])?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)) - {value = ((1/18)*RegExp.$1).toFixed(3).replace(/\.?0+$/,"")+"em"} // FIXME: should take scriptlevel into account + {value = RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"} // FIXME: should take scriptlevel into account else if (this.NativeMMLvariants[value]) {value = this.NativeMMLvariants[value]} return value; }, @@ -475,20 +506,22 @@ }); if (HUB.Browser.isFirefox) { - MML.mtable.Augment({ - toNativeMML: function (parent) { - // - // FF doesn't handle width, so put it in styles instead - // - if (this.width) { - var styles = (this.style||"").replace(/;\s*$/,"").split(";"); - if (styles[0] === "") {styles.shift()} - styles.push("width:"+this.width); - this.style = styles.join(";"); - } - this.SUPER(arguments).toNativeMML.call(this,parent); - } - }); + if (!HUB.Browser.versionAtLeast("13.0")) { + MML.mtable.Augment({ + toNativeMML: function (parent) { + // + // Firefox < 13 doesn't handle width, so put it in styles instead + // + if (this.width) { + var styles = (this.style||"").replace(/;\s*$/,"").split(";"); + if (styles[0] === "") {styles.shift()} + styles.push("width:"+this.width); + this.style = styles.join(";"); + } + this.SUPER(arguments).toNativeMML.call(this,parent); + } + }); + } if (!HUB.Browser.versionAtLeast("9.0")) { MML.mlabeledtr.Augment({ toNativeMML: function (parent) { diff --git a/unpacked/jax/output/SVG/autoload/mmultiscripts.js b/unpacked/jax/output/SVG/autoload/mmultiscripts.js index b0164f7c3..b67877b08 100644 --- a/unpacked/jax/output/SVG/autoload/mmultiscripts.js +++ b/unpacked/jax/output/SVG/autoload/mmultiscripts.js @@ -22,13 +22,14 @@ */ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { - var VERSION = "2.0"; + var VERSION = "2.0.2"; var MML = MathJax.ElementJax.mml, SVG = MathJax.OutputJax.SVG; MML.mmultiscripts.Augment({ toSVG: function (HW,D) { - var svg = this.SVG(); this.SVGhandleSpace(); + this.SVGgetStyles(); + var svg = this.SVG(); this.SVGhandleSpace(svg); var scale = this.SVGgetScale(); var base = (this.data[this.base] ? this.SVGdataStretched(this.base,HW,D) : SVG.BBOX.G().Clean()); var x_height = SVG.TeX.x_height * scale, diff --git a/unpacked/jax/output/SVG/autoload/ms.js b/unpacked/jax/output/SVG/autoload/ms.js index ec2f9baf0..42dd6fa14 100644 --- a/unpacked/jax/output/SVG/autoload/ms.js +++ b/unpacked/jax/output/SVG/autoload/ms.js @@ -22,12 +22,13 @@ */ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { - var VERSION = "2.0"; + var VERSION = "2.0.1"; var MML = MathJax.ElementJax.mml, SVG = MathJax.OutputJax.SVG; MML.ms.Augment({ toSVG: function () { + this.SVGgetStyles(); var svg = this.SVG(); this.SVGhandleSpace(svg); var values = this.getValues("lquote","rquote"); var variant = this.SVGgetVariant(), scale = this.SVGgetScale(); diff --git a/unpacked/jax/output/SVG/autoload/mtable.js b/unpacked/jax/output/SVG/autoload/mtable.js index 413c43b47..9542bc24f 100644 --- a/unpacked/jax/output/SVG/autoload/mtable.js +++ b/unpacked/jax/output/SVG/autoload/mtable.js @@ -22,13 +22,14 @@ */ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { - var VERSION = "2.0"; + var VERSION = "2.0.2"; var MML = MathJax.ElementJax.mml, SVG = MathJax.OutputJax.SVG, BBOX = SVG.BBOX; MML.mtable.Augment({ toSVG: function (span) { + this.SVGgetStyles(); var svg = this.SVG(); if (this.data.length === 0) {return svg} var values = this.getValues("columnalign","rowalign","columnspacing","rowspacing", @@ -41,8 +42,8 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { var scale = this.SVGgetScale(), mu = this.SVGgetMu(svg); var LABEL = -1; - var H = [], D = [], W = [], A = [], C = [], i, j, J = -1, m, M, s, row; - var LHD = SVG.FONTDATA.baselineskip * scale * values.useHeight, + var H = [], D = [], W = [], A = [], C = [], i, j, J = -1, m, M, s, row, cell, mo; + var LHD = SVG.FONTDATA.baselineskip * scale * values.useHeight, HD, LH = SVG.FONTDATA.lineH * scale, LD = SVG.FONTDATA.lineD * scale; // @@ -57,8 +58,26 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { C[j] = BBOX.G(); W[j] = -SVG.BIGDIMEN; } - A[i][j] = row.data[j-s].toSVG(); + cell = row.data[j-s]; + A[i][j] = cell.toSVG(); // if (row.data[j-s].isMultiline) {A[i][j].style.width = "100%"} + if (cell.isEmbellished()) { + mo = cell.CoreMO(); + var min = mo.Get("minsize",true); + if (min) { + if (mo.SVGcanStretch("Vertical")) { + HD = mo.SVGdata.h + mo.SVGdata.d; + if (HD) { + min = SVG.length2em(min,mu,HD); + if (min*mo.SVGdata.h/HD > H[j]) {H[j] = min*mo.SVGdata.h/HD} + if (min*mo.SVGdata.d/HD > D[j]) {D[j] = min*mo.SVGdata.d/HD} + } + } else if (mo.SVGcanStretch("Horizontal")) { + min = SVG.length2em(min,mu,mo.SVGdata.w); + if (min > W[j]) {W[j] = min} + } + } + } if (A[i][j].h > H[i]) {H[i] = A[i][j].h} if (A[i][j].d > D[i]) {D[i] = A[i][j].d} if (A[i][j].w > W[j]) {W[j] = A[i][j].w} @@ -118,7 +137,7 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { // // Determine array total height // - var HD = H[0] + D[A.length-1]; + HD = H[0] + D[A.length-1]; for (i = 0, m = A.length-1; i < m; i++) {HD += Math.max((H[i]+D[i] ? LHD : 0),D[i]+H[i+1]+RSPACE[i])} // @@ -229,11 +248,11 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { for (i = 0, m = A.length; i < m; i++) { if (A[i][j]) { s = (this.data[i].type === "mlabeledtr" ? LABEL : 0); - var cell = this.data[i].data[j-s]; + cell = this.data[i].data[j-s]; if (cell.SVGcanStretch("Horizontal")) { A[i][j] = cell.SVGstretchH(W[j]); } else if (cell.SVGcanStretch("Vertical")) { - var mo = cell.CoreMO(); + mo = cell.CoreMO(); var symmetric = mo.symmetric; mo.symmetric = false; A[i][j] = cell.SVGstretchV(H[i],D[i]); mo.symmetric = symmetric; diff --git a/unpacked/jax/output/SVG/autoload/multiline.js b/unpacked/jax/output/SVG/autoload/multiline.js index d1a41bcb6..8d25e9383 100644 --- a/unpacked/jax/output/SVG/autoload/multiline.js +++ b/unpacked/jax/output/SVG/autoload/multiline.js @@ -22,7 +22,7 @@ */ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { - var VERSION = "2.0.1"; + var VERSION = "2.0.2"; var MML = MathJax.ElementJax.mml, SVG = MathJax.OutputJax.SVG, BBOX = SVG.BBOX; @@ -149,10 +149,9 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { // Get the current breakpoint position and other data // var index = info.index.slice(0), i = info.index.shift(), - m = this.data.length, W, scanW = info.W, - broken = (info.index.length > 0), better = false; - if (i == null) {i = -1}; if (!broken) {i++; info.W += info.w}; - info.w = 0; info.nest++; info.scanW = scanW; + m = this.data.length, W, w, scanW, broken = (info.index.length > 0), better = false; + if (i == null) {i = -1}; if (!broken) {i++; info.W += info.w; info.w = 0} + scanW = info.scanW = info.W; info.nest++; // // Look through the line for breakpoints, // (as long as we are not too far past the breaking width) @@ -160,14 +159,10 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { while (i < m && info.scanW < 1.33*SVG.linebreakWidth) { if (this.data[i]) { if (this.data[i].SVGbetterBreak(info,state)) { - better = true; index = [i].concat(info.index); W = info.W; + better = true; index = [i].concat(info.index); W = info.W; w = info.w; if (info.penalty === PENALTY.newline) {info.index = index; info.nest--; return true} } - if (!broken) { - var svg = this.data[i].SVGdata; - scanW += svg.w + svg.x; if (svg.X) {scanW += svg.X} - info.W = info.scanW = scanW; - } + if (!broken) {scanW = this.SVGaddWidth(i,info,scanW)} } info.index = []; i++; broken = false; } @@ -175,6 +170,12 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { if (better) {info.W = W} return better; }, + SVGaddWidth: function (i,info,scanW) { + var svg = this.data[i].SVGdata; + scanW += svg.w + svg.x; if (svg.X) {scanW += svg.X} + info.W = info.scanW = scanW; info.w = 0; + return scanW; + }, /****************************************************************/ // @@ -303,8 +304,8 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { /****************************************************************/ // - // Move an element from its original span to its new location in - // a split element or the new line's span + // Move an element from its original position to its new location in + // a split element or the new line's position // SVGmove: function (line,state,values) { // FIXME: handle linebreakstyle === "duplicate" @@ -327,6 +328,87 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { /**************************************************************************/ + MML.mfenced.Augment({ + SVGbetterBreak: function (info,state) { + // + // Get the current breakpoint position and other data + // + var index = info.index.slice(0), i = info.index.shift(), + m = this.data.length, W, w, scanW, broken = (info.index.length > 0), better = false; + if (i == null) {i = -1}; if (!broken) {i++; info.W += info.w; info.w = 0} + scanW = info.scanW = info.W; info.nest++; + // + // Create indices that include the delimiters and separators + // + if (!this.dataI) { + this.dataI = []; + if (this.data.open) {this.dataI.push("open")} + if (m) {this.dataI.push(0)} + for (var j = 1; j < m; j++) { + if (this.data["sep"+j]) {this.dataI.push("sep"+j)} + this.dataI.push(j); + } + if (this.data.close) {this.dataI.push("close")} + } + m = this.dataI.length; + // + // Look through the line for breakpoints, including the open, close, and separators + // (as long as we are not too far past the breaking width) + // + while (i < m && info.scanW < 1.33*SVG.linebreakWidth) { + var k = this.dataI[i]; + if (this.data[k]) { + if (this.data[k].SVGbetterBreak(info,state)) { + better = true; index = [i].concat(info.index); W = info.W; w = info.w; + if (info.penalty === PENALTY.newline) {info.index = index; info.nest--; return true} + } + if (!broken) {scanW = this.SVGaddWidth(k,info,scanW)} + } + info.index = []; i++; broken = false; + } + info.nest--; info.index = index; + if (better) {info.W = W; info.w = w} + return better; + }, + + SVGmoveLine: function (start,end,svg,state,values) { + var i = start[0], j = end[0]; + if (i == null) {i = -1}; if (j == null) {j = this.dataI.length-1} + if (i === j && start.length > 1) { + // + // If starting and ending in the same element move the subpiece to the new line + // Add the closing fence, if present + // + this.data[this.dataI[i]].SVGmoveSlice(start.slice(1),end.slice(1),svg,state,values,"paddingLeft"); + } else { + // + // Otherwise, move the remainder of the initial item + // and any others (including open and separators) up to the last one + // + var last = state.last; state.last = false; var k = this.dataI[i]; + while (i < j) { + if (this.data[k]) { + if (start.length <= 1) {this.data[k].SVGmove(svg,state,values)} + else {this.data[k].SVGmoveSlice(start.slice(1),[],svg,state,values,"paddingLeft")} + } + i++; k = this.dataI[i]; state.first = false; start = []; + } + // + // If the last item is complete, move it and the closing fence, + // otherwise move the first part of it up to the split + // + state.last = last; + if (this.data[k]) { + if (end.length <= 1) {this.data[k].SVGmove(svg,state,values)} + else {this.data[k].SVGmoveSlice([],end.slice(1),svg,state,values,"paddingRight")} + } + } + } + + }); + + /**************************************************************************/ + MML.mo.Augment({ // // Override the method for checking line breaks to properly handle @@ -402,7 +484,6 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { // Get the default penalty for this location // var W = info.scanW, svg = this.SVGdata, w = svg.w + svg.x; - if (values.linebreakstyle === MML.LINEBREAKSTYLE.AFTER) {W += w; w = 0} if (W - info.shift === 0) {return false} // don't break at zero width (FIXME?) var offset = SVG.linebreakWidth - W; // diff --git a/unpacked/jax/output/SVG/config.js b/unpacked/jax/output/SVG/config.js index 6d43d6b57..44fed5eb5 100644 --- a/unpacked/jax/output/SVG/config.js +++ b/unpacked/jax/output/SVG/config.js @@ -24,7 +24,7 @@ MathJax.OutputJax.SVG = MathJax.OutputJax({ id: "SVG", - version: "2.0", + version: "2.0.8", directory: MathJax.OutputJax.directory + "/SVG", extensionDir: MathJax.OutputJax.extensionDir + "/SVG", autoloadDir: MathJax.OutputJax.directory + "/SVG/autoload", diff --git a/unpacked/jax/output/SVG/fonts/TeX/fontdata-extra.js b/unpacked/jax/output/SVG/fonts/TeX/fontdata-extra.js index bc38bb5ca..fd340075b 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/fontdata-extra.js +++ b/unpacked/jax/output/SVG/fonts/TeX/fontdata-extra.js @@ -22,6 +22,7 @@ */ (function (SVG) { + var VERSION = "2.0.1"; var DELIMITERS = SVG.FONTDATA.DELIMITERS; @@ -48,12 +49,12 @@ 0x21A4: // left arrow from bar { dir: H, HW: [], - stretch: {left:[0x2190,MAIN], rep:[0x2212,MAIN], right:[0x2223,SIZE1,0,-.05,.9]} + stretch: {min:1, left:[0x2190,MAIN], rep:[0x2212,MAIN], right:[0x2223,SIZE1,0,-.05,.9]} }, 0x21A5: // up arrow from bar { dir: V, HW: [], - stretch: {bot:[0x22A5,BOLD,0,0,.75], ext:[0x23D0,SIZE1], top:[0x2191,SIZE1]} + stretch: {min:.6, bot:[0x22A5,BOLD,0,0,.75], ext:[0x23D0,SIZE1], top:[0x2191,SIZE1]} }, 0x21A6: // right arrow from bar { @@ -63,7 +64,7 @@ 0x21A7: // down arrow from bar { dir: V, HW: [], - stretch: {top:[0x22A4,BOLD,0,0,.75], ext:[0x23D0,SIZE1], bot:[0x2193,SIZE1]} + stretch: {min:.6, top:[0x22A4,BOLD,0,0,.75], ext:[0x23D0,SIZE1], bot:[0x2193,SIZE1]} }, 0x21B0: // up arrow with top leftwards { @@ -128,12 +129,12 @@ 0x23B4: // top square bracket { dir: H, HW: [], - stretch: {left:[0x250C,AMS,0,-.1], rep:[0x2212,MAIN,0,.325], right:[0x2510,AMS,0,-.1]} + stretch: {min:.5, left:[0x250C,AMS,0,-.1], rep:[0x2212,MAIN,0,.325], right:[0x2510,AMS,0,-.1]} }, 0x23B5: // bottom square bracket { dir: H, HW: [], - stretch: {left:[0x2514,AMS,0,.26], rep:[0x2212,MAIN,0,0,0,.25], right:[0x2518,AMS,0,.26]} + stretch: {min:.5, left:[0x2514,AMS,0,.26], rep:[0x2212,MAIN,0,0,0,.25], right:[0x2518,AMS,0,.26]} }, 0x23DC: // top paren { @@ -148,82 +149,82 @@ 0x23E0: // top tortoise shell { dir: H, HW: [], - stretch: {left:[0x2CA,MAIN,-.1], rep:[0x2C9,MAIN,0,.13], right:[0x2CB,MAIN], fullExtenders:true} + stretch: {min:1.25, left:[0x2CA,MAIN,-.1], rep:[0x2C9,MAIN,-.05,.13], right:[0x2CB,MAIN], fullExtenders:true} }, 0x23E1: // bottom tortoise shell { dir: H, HW: [], - stretch: {left:[0x2CB,MAIN,-.1,.1], rep:[0x2C9,MAIN], right:[0x2CA,MAIN,-.1,.1], fullExtenders:true} + stretch: {min:1.5, left:[0x2CB,MAIN,-.1,.1], rep:[0x2C9,MAIN,-.1], right:[0x2CA,MAIN,-.1,.1], fullExtenders:true} }, 0x2906: // leftwards double arrow from bar { dir: H, HW: [], - stretch: {left:[0x21D0,MAIN], rep:[0x3D,MAIN], right:[0x2223,SIZE1,0,-.1]} + stretch: {min:1, left:[0x21D0,MAIN], rep:[0x3D,MAIN], right:[0x2223,SIZE1,0,-.1]} }, 0x2907: // rightwards double arrow from bar { dir: H, HW: [], - stretch: {left:[0x22A8,AMS,0,-.12], rep:[0x3D,MAIN], right:[0x21D2,MAIN]} + stretch: {min:.7, left:[0x22A8,AMS,0,-.12], rep:[0x3D,MAIN], right:[0x21D2,MAIN]} }, 0x294E: // left barb up right barb up harpoon { dir: H, HW: [], - stretch: {left:[0x21BC,MAIN], rep:[0x2212,MAIN], right:[0x21C0,MAIN]} + stretch: {min:.5, left:[0x21BC,MAIN], rep:[0x2212,MAIN], right:[0x21C0,MAIN]} }, 0x294F: // up barb right down barb right harpoon { dir: V, HW: [], - stretch: {top:[0x21BE,AMS,.12,0,1.1], ext:[0x23D0,SIZE1], bot:[0x21C2,AMS,.12,0,1.1]} + stretch: {min:.5, top:[0x21BE,AMS,.12,0,1.1], ext:[0x23D0,SIZE1], bot:[0x21C2,AMS,.12,0,1.1]} }, 0x2950: // left barb dow right barb down harpoon { dir: H, HW: [], - stretch: {left:[0x21BD,MAIN], rep:[0x2212,MAIN], right:[0x21C1,MAIN]} + stretch: {min:.5, left:[0x21BD,MAIN], rep:[0x2212,MAIN], right:[0x21C1,MAIN]} }, 0x2951: // up barb left down barb left harpoon { dir: V, HW: [], - stretch: {top:[0x21BF,AMS,.12,0,1.1], ext:[0x23D0,SIZE1], bot:[0x21C3,AMS,.12,0,1.1]} + stretch: {min:.5, top:[0x21BF,AMS,.12,0,1.1], ext:[0x23D0,SIZE1], bot:[0x21C3,AMS,.12,0,1.1]} }, 0x295A: // leftwards harpoon with barb up from bar { dir: H, HW: [], - stretch: {left:[0x21BC,MAIN], rep:[0x2212,MAIN], right:[0x2223,SIZE1,0,-.05,.9]} + stretch: {min:1, left:[0x21BC,MAIN], rep:[0x2212,MAIN], right:[0x2223,SIZE1,0,-.05,.9]} }, 0x295B: // rightwards harpoon with barb up from bar { dir: H, HW: [], - stretch: {left:[0x2223,SIZE1,-.09,-.05,.9], rep:[0x2212,MAIN], right:[0x21C0,MAIN]} + stretch: {min:1, left:[0x2223,SIZE1,-.05,-.05,.9], rep:[0x2212,MAIN], right:[0x21C0,MAIN]} }, 0x295C: // up harpoon with barb right from bar { dir: V, HW: [], - stretch: {bot:[0x22A5,BOLD,0,0,.75], ext:[0x23D0,SIZE1], top:[0x21BE,AMS,.12,0,1.1]} + stretch: {min:.7, bot:[0x22A5,BOLD,0,0,.75], ext:[0x23D0,SIZE1], top:[0x21BE,AMS,.12,0,1.1]} }, 0x295D: // down harpoon with barb right from bar { dir: V, HW: [], - stretch: {top:[0x22A4,BOLD,0,0,.75], ext:[0x23D0,SIZE1], bot:[0x21C2,AMS,.12,0,1.1]} + stretch: {min:.7, top:[0x22A4,BOLD,0,0,.75], ext:[0x23D0,SIZE1], bot:[0x21C2,AMS,.12,0,1.1]} }, 0x295E: // leftwards harpoon with barb down from bar { dir: H, HW: [], - stretch: {left:[0x21BD,MAIN], rep:[0x2212,MAIN], right:[0x2223,SIZE1,0,-.05,.9]} + stretch: {min:1, left:[0x21BD,MAIN], rep:[0x2212,MAIN], right:[0x2223,SIZE1,0,-.05,.9]} }, 0x295F: // rightwards harpoon with barb down from bar { dir: H, HW: [], - stretch: {left:[0x2223,SIZE1,-.09,-.05,.9], rep:[0x2212,MAIN], right:[0x21C1,MAIN]} + stretch: {min:1, left:[0x2223,SIZE1,-.05,-.05,.9], rep:[0x2212,MAIN], right:[0x21C1,MAIN]} }, 0x2960: // up harpoon with barb left from bar { dir: V, HW: [], - stretch: {bot:[0x22A5,BOLD,0,0,.75], ext:[0x23D0,SIZE1], top:[0x21BF,AMS,.12,0,1.1]} + stretch: {min:.7, bot:[0x22A5,BOLD,0,0,.75], ext:[0x23D0,SIZE1], top:[0x21BF,AMS,.12,0,1.1]} }, 0x2961: // down harpoon with barb left from bar { dir: V, HW: [], - stretch: {top:[0x22A4,BOLD,0,0,.75], ext:[0x23D0,SIZE1], bot:[0x21C3,AMS,.12,0,1.1]} + stretch: {min:.7, top:[0x22A4,BOLD,0,0,.75], ext:[0x23D0,SIZE1], bot:[0x21C3,AMS,.12,0,1.1]} } }; diff --git a/unpacked/jax/output/SVG/fonts/TeX/fontdata.js b/unpacked/jax/output/SVG/fonts/TeX/fontdata.js index e7d610e5b..9c744c66a 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/fontdata.js +++ b/unpacked/jax/output/SVG/fonts/TeX/fontdata.js @@ -23,7 +23,7 @@ */ (function (SVG,MML,AJAX) { - var VERSION = "2.0"; + var VERSION = "2.0.3"; var MAIN = "MathJax_Main", BOLD = "MathJax_Main-bold", @@ -69,12 +69,18 @@ offsetG: 0x03B1, variantG: "italic", remap: {0x391:0x41, 0x392:0x42, 0x395:0x45, 0x396:0x5A, 0x397:0x48, 0x399:0x49, 0x39A:0x4B, 0x39C:0x4D, 0x39D:0x4E, 0x39F:0x4F, - 0x3A1:0x50, 0x3A4:0x54, 0x3A7:0x58, 0x29F8:[0x002F,"italic"]}}, + 0x3A1:0x50, 0x3A4:0x54, 0x3A7:0x58, + 0x2216:[0x2216,"-TeX-variant"], // \smallsetminus + 0x210F:[0x210F,"-TeX-variant"], // \hbar + 0x2032:[0x27,"sans-serif-italic"], // HACK: a smaller prime + 0x29F8:[0x002F,MML.VARIANT.ITALIC]}}, "bold": {fonts:[BOLD,SIZE1,AMS], bold:true, offsetG: 0x03B1, variantG: "bold-italic", remap: {0x391:0x41, 0x392:0x42, 0x395:0x45, 0x396:0x5A, 0x397:0x48, 0x399:0x49, 0x39A:0x4B, 0x39C:0x4D, 0x39D:0x4E, 0x39F:0x4F, 0x3A1:0x50, 0x3A4:0x54, 0x3A7:0x58, 0x29F8:[0x002F,"bold-italic"], + 0x219A:"\u2190\u0338", 0x219B:"\u2192\u0338", 0x21AE:"\u2194\u0338", + 0x21CD:"\u21D0\u0338", 0x21CE:"\u21D4\u0338", 0x21CF:"\u21D2\u0338", 0x2204:"\u2203\u0338", 0x2224:"\u2223\u0338", 0x2226:"\u2225\u0338", 0x2241:"\u223C\u0338", 0x2247:"\u2245\u0338", 0x226E:"<\u0338", 0x226F:">\u0338", @@ -111,6 +117,15 @@ remap: {0x391:0x41, 0x392:0x42, 0x395:0x45, 0x396:0x5A, 0x397:0x48, 0x399:0x49, 0x39A:0x4B, 0x39C:0x4D, 0x39D:0x4E, 0x39F:0x4F, 0x3A1:0x50, 0x3A4:0x54, 0x3A7:0x58}}, + "-TeX-variant": {fonts:[AMS,MAIN,SIZE1], // HACK: to get larger prime for \prime + remap: { + 0x2268: 0xE00C, 0x2269: 0xE00D, 0x2270: 0xE011, 0x2271: 0xE00E, + 0x2A87: 0xE010, 0x2A88: 0xE00F, 0x2224: 0xE006, 0x2226: 0xE007, + 0x2288: 0xE016, 0x2289: 0xE018, 0x228A: 0xE01A, 0x228B: 0xE01B, + 0x2ACB: 0xE017, 0x2ACC: 0xE019, 0x03DC: 0xE008, 0x03F0: 0xE009, + 0x2216:[0x2216,MML.VARIANT.NORMAL], // \setminus + 0x210F:[0x210F,MML.VARIANT.NORMAL] // \hslash + }}, "-largeOp": {fonts:[SIZE2,SIZE1,MAIN]}, "-smallOp": {fonts:[SIZE1,MAIN]} }, @@ -140,13 +155,16 @@ 0x2022: 0x2219, 0x2044: 0x2F, // bullet, fraction slash 0x2305: 0x22BC, 0x2306: 0x2A5E, // barwedge, doublebarwedge 0x25AA: 0x25A0, 0x25B4: 0x25B2, // blacksquare, blacktriangle - 0x25B5: 0x25B3, 0x25BE: 0x25BC, // triangle, blacktriangledown - 0x25BF: 0x25BD, 0x25C2: 0x25C0, // triangledown, blacktriangleleft + 0x25B5: 0x25B3, 0x25B8: 0x25B6, // triangle, blacktriangleright + 0x25BE: 0x25BC, 0x25BF: 0x25BD, // blacktriangledown, triangledown + 0x25C2: 0x25C0, // blacktriangleleft 0x2329: 0x27E8, 0x232A: 0x27E9, // langle, rangle 0x3008: 0x27E8, 0x3009: 0x27E9, // langle, rangle 0x2758: 0x2223, // VerticalSeparator 0x2A2F: 0xD7, // cross product + 0x25FB: 0x25A1, 0x25FC: 0x25A0, // square, blacksquare + // // Letter-like symbols (that appear elsewhere) // @@ -185,9 +203,10 @@ // 0x2204: "\u2203\u0338", // \not\exists 0x220C: "\u220B\u0338", // \not\ni - 0x2244: "\u2243\u0338", // \not\cong + 0x2244: "\u2243\u0338", // \not\simeq 0x2249: "\u2248\u0338", // \not\approx 0x2262: "\u2261\u0338", // \not\equiv + 0x226D: "\u224D\u0338", // \not\asymp 0x2274: "\u2272\u0338", // \not\lesssim 0x2275: "\u2273\u0338", // \not\gtrsim 0x2278: "\u2276\u0338", // \not\lessgtr @@ -197,15 +216,21 @@ 0x22E2: "\u2291\u0338", // \not\sqsubseteq 0x22E3: "\u2292\u0338", // \not\sqsupseteq + 0x2A0C: "\u222C\u222C", // quadruple integral + 0x2033: "\u2032\u2032", // double prime 0x2034: "\u2032\u2032\u2032", // triple prime 0x2036: "\u2035\u2035", // double back prime 0x2037: "\u2035\u2035\u2035", // trile back prime - 0x2057: "\u2032\u2032\u2032\u2032" // quadruple prime + 0x2057: "\u2032\u2032\u2032\u2032", // quadruple prime + 0x20DB: "...", // combining three dots above (only works with mover/under) + 0x20DC: "...." // combining four dots above (only works with mover/under) }, REMAPACCENT: { - "\u2192":"\u20D7" + "\u2192":"\u20D7", + "\u2032":"'", + "\u2035":"`" }, REMAPACCENTUNDER: { }, @@ -444,12 +469,12 @@ 0x23DE: // horizontal brace down { dir: H, HW: [], - stretch: {left:[0xE150,SIZE4], mid:[[0xE153,0xE152],SIZE4], right:[0xE151,SIZE4], rep:[0xE154,SIZE4]} + stretch: {min:.9, left:[0xE150,SIZE4], mid:[[0xE153,0xE152],SIZE4], right:[0xE151,SIZE4], rep:[0xE154,SIZE4]} }, 0x23DF: // horizontal brace up { dir: H, HW: [], - stretch: {left:[0xE152,SIZE4], mid:[[0xE151,0xE150],SIZE4], right:[0xE153,SIZE4], rep:[0xE154,SIZE4]} + stretch: {min:.9, left:[0xE152,SIZE4], mid:[[0xE151,0xE150],SIZE4], right:[0xE153,SIZE4], rep:[0xE154,SIZE4]} }, 0x27E8: // \langle { @@ -546,13 +571,6 @@ }); - MathJax.Hub.Register.StartupHook("TeX Jax Ready", function () { - var TEX = MathJax.InputJax.TeX; - TEX.Definitions.mathchar0mi.ell = ['2113',{mathvariant: MML.VARIANT.NORMAL}]; - TEX.Definitions.mathchar0mi.hbar = ['210F',{mathvariant: MML.VARIANT.NORMAL}]; - TEX.Definitions.mathchar0mi.S = ['00A7',{mathvariant: MML.VARIANT.SCRIPT}]; - }); - SVG.FONTDATA.FONTS['MathJax_Main'] = { directory: 'Main/Regular', family: 'MathJax_Main', diff --git a/unpacked/jax/output/SVG/jax.js b/unpacked/jax/output/SVG/jax.js index 644f21df7..f7be87fe9 100644 --- a/unpacked/jax/output/SVG/jax.js +++ b/unpacked/jax/output/SVG/jax.js @@ -170,16 +170,16 @@ // Remove any existing output // prev = script.previousSibling; - if (prev && String(prev.className).match(/^MathJax(_SVG)?(_Display)?$/)) + if (prev && String(prev.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Processing)?$/)) {prev.parentNode.removeChild(prev)} // // Add the span, and a div if in display mode, // then set the role and mark it as being processed // - jax = script.MathJax.elementJax; + jax = script.MathJax.elementJax; if (!jax) continue; jax.SVG = {display: (jax.root.Get("display") === "block")} span = div = HTML.Element("span",{ - style: {"font-size": this.scale+"%", display:"inline-block"}, + style: {"font-size": this.config.scale+"%", display:"inline-block"}, className:"MathJax_SVG", id:jax.inputID+"-Frame", isMathJax:true, jaxID:this.id, oncontextmenu:EVENT.Menu, onmousedown: EVENT.Mousedown, onmouseover:EVENT.Mouseover, onmouseout:EVENT.Mouseout, onmousemove:EVENT.Mousemove, @@ -213,7 +213,7 @@ for (i = 0; i < m; i++) { script = scripts[i]; if (!script.parentNode) continue; test = script.previousSibling; div = test.previousSibling; - jax = script.MathJax.elementJax; + jax = script.MathJax.elementJax; if (!jax) continue; ex = test.firstChild.offsetHeight/60; cwidth = div.previousSibling.firstChild.offsetWidth; if (relwidth) {maxwidth = cwidth} @@ -234,8 +234,8 @@ // for (i = 0; i < m; i++) { script = scripts[i]; if (!script.parentNode) continue; - test = scripts[i].previousSibling; jax = scripts[i].MathJax.elementJax; - span = test.previousSibling; + test = scripts[i].previousSibling; span = test.previousSibling; + jax = scripts[i].MathJax.elementJax; if (!jax) continue; if (!jax.SVG.isHidden) {span = span.previousSibling} span.parentNode.removeChild(span); test.parentNode.removeChild(test); @@ -243,7 +243,7 @@ // // Set state variables used for displaying equations in chunks // - state.SVGeqn = state.SVGlast = 0; + state.SVGeqn = state.SVGlast = 0; state.SVGi = -1; state.SVGchunk = this.config.EqnChunk; state.SVGdelay = false; }, @@ -302,7 +302,7 @@ // // Check if we should show this chunk of equations // - state.SVGeqn++; + state.SVGeqn += (state.i - state.SVGi); state.SVGi = state.i; if (state.SVGeqn >= state.SVGlast + state.SVGchunk) { this.postTranslate(state); state.SVGchunk = Math.floor(state.SVGchunk*this.config.EqnChunkFactor); @@ -319,7 +319,7 @@ // for (var i = state.SVGlast, m = state.SVGeqn; i < m; i++) { var script = scripts[i]; - if (script) { + if (script && script.MathJax.elementJax) { // // Remove the processed marker // @@ -534,20 +534,21 @@ c = [scale,font.id+"-"+n.toString(16).toUpperCase()].concat(c); svg.Add(BBOX.GLYPH.apply(BBOX,c),svg.w,0); } else if (this.FONTDATA.DELIMITERS[n]) { - svg.Add(this.createDelimiter(n,0,1,font),svg.w,0); + c = this.createDelimiter(n,0,1,font); + svg.Add(c,svg.w,(this.FONTDATA.DELIMITERS[n].dir === "V" ? c.d: 0)); } else { if (n <= 0xFFFF) {c = String.fromCharCode(n)} else { N = n - 0x10000; c = String.fromCharCode((N>>10)+0xD800) + String.fromCharCode((N&0x3FF)+0xDC00); } - text = BBOX.TEXT(scale,c,{ + var box = BBOX.TEXT(scale,c,{ "font-family":variant.defaultFamily||SVG.config.undefinedFamily, "font-style":(variant.italic?"italic":""), "font-weight":(variant.bold?"bold":"") }) - if (variant.h != null) {text.h = variant.h}; if (variant.d != null) {text.d = variant.d} - c = BBOX.G(); c.Add(text); svg.Add(c,svg.w,0); text = ""; + if (variant.h != null) {box.h = variant.h}; if (variant.d != null) {box.d = variant.d} + c = BBOX.G(); c.Add(box); svg.Add(c,svg.w,0); HUB.signal.Post(["SVG Jax - unknown char",n,variant]); } } @@ -631,12 +632,12 @@ if (data[0] instanceof Array) { for (var i = 0, m = data[0].length; i < m; i++) {text += String.fromCharCode(data[0][i])} } else {text = String.fromCharCode(data[0])} + if (data[4]) {scale = scale*data[4]} var svg = this.HandleVariant(variant,scale,text); if (data[2]) {svg.x = data[2]*1000} if (data[3]) {svg.y = data[3]*1000} if (data[5]) {svg.h += data[5]*1000} if (data[6]) {svg.d += data[6]*1000} - // FIXME handle data[4] (scale factor) return svg; }, extendDelimiterV: function (svg,H,delim,scale,font) { @@ -645,6 +646,7 @@ var h = top.h + top.d + bot.h + bot.d; var y = -top.h; svg.Add(top,0,y); y -= top.d; if (delim.mid) {var mid = this.createChar(scale,delim.mid,font); h += mid.h + mid.d} + if (delim.min && H < h*delim.min) {H = h*delim.min} if (H > h) { var ext = this.createChar(scale,delim.ext,font); var k = (delim.mid ? 2 : 1), eH = (H-h) / k, s = (eH+100) / (ext.h+ext.d); @@ -668,6 +670,7 @@ svg.Add(left,-left.l,0); var w = (left.r - left.l) + (right.r - right.l), x = left.r - left.l; if (delim.mid) {var mid = this.createChar(scale,delim.mid,font); w += mid.w} + if (delim.min && W < w*delim.min) {W = w*delim.min} if (W > w) { var rep = this.createChar(scale,delim.rep,font), fuzz = delim.fuzz || 0; var k = (delim.mid ? 2 : 1), rW = (W-w) / k, s = (rW+fuzz) / (rep.r-rep.l); @@ -677,8 +680,7 @@ if (delim.mid && k) {svg.Add(mid,x,0); x += mid.w} } } else if (delim.mid) { - var dx = Math.min(w - W,left.w/2); - x -= dx/2; svg.Add(mid,x,0); x += mid.w - dx/2; + x -= (w - W)/2; svg.Add(mid,x,0); x += mid.w - (w - W)/2; } else { x -= (w - W); } @@ -835,8 +837,11 @@ Stretch: function () { for (var i = 0, m = this.svg.length; i < m; i++) { - var svg = this.svg[i]; - if (svg.mml) {svg = svg.mml.SVGstretchV(this.sh,this.sd)} + var svg = this.svg[i], mml = svg.mml; + if (mml) { + svg = mml.SVGstretchV(this.sh,this.sd); + mml.SVGdata.HW = this.sh; mml.SVGdata.D = this.sd; + } if (svg.ic) {this.ic = svg.ic} else {delete this.ic} this.Add(svg,this.w,0,true); } @@ -985,6 +990,7 @@ SVGsaveData: function (svg) { if (!this.SVGdata) {this.SVGdata = {}} this.SVGdata.w = svg.w, this.SVGdata.x = svg.x; + this.SVGdata.h = svg.h, this.SVGdata.d = svg.d; if (svg.X != null) {this.SVGdata.X = svg.X} if (this["class"]) {svg.removeable = false; SVG.Element(svg.element,{"class":this["class"]})} // FIXME: if an element is split by linebreaking, the ID will be the same on both parts @@ -1013,8 +1019,8 @@ svg.removeable = false; svg.element.setAttribute("className","mjx-svg-"+this.type); } - var style = this.Get("style"); - if (style) { + var style = this.style; + if (style && svg.element) { svg.element.style.cssText = style; if (svg.element.style.fontSize) {svg.element.style.fontSize = ""} // handled by scale svg.element.style.border = svg.element.style.padding = ""; @@ -1091,7 +1097,7 @@ if (values.background !== MML.COLOR.TRANSPARENT) { if (svg.element.nodeName !== "g" && svg.element.nodeName !== "svg") { var g = SVG.Element("g"); g.appendChild(svg.element); - svg.element = g; svg.removable = true; + svg.element = g; svg.removeable = true; } svg.Add(BBOX.RECT(svg.h,svg.d,svg.w,{fill:values.background,stroke:"none"}),0,0,false,true) } @@ -1183,7 +1189,7 @@ values.scriptminsize = SVG.length2em(this.Get("scriptminsize"))/1000; if (scale < values.scriptminsize) {scale = values.scriptminsize} } - scale *= SVG.length2em(values.mathsize)/1000; + if (this.isToken) {scale *= SVG.length2em(values.mathsize)/1000} return scale; }, SVGgetMu: function (svg) { @@ -1233,17 +1239,24 @@ } }); MML.entity.Augment({ - toSVG: function (variant,scale) { - return this.SVGhandleVariant(variant,scale,this.toString().replace(/[\u2061-\u2064]/g,"")); // remove invisibles + toSVG: function (variant,scale,remap,chars) { + var text = this.toString().replace(/[\u2061-\u2064]/g,""); // remove invisibles + if (remap) {text = remap(text,chars)} + return this.SVGhandleVariant(variant,scale,text); } }); MML.mo.Augment({ - toSVG: function () { + toSVG: function (HW,D) { this.SVGgetStyles(); var svg = this.svg = this.SVG(); this.SVGhandleSpace(svg); if (this.data.length == 0) {svg.Clean(); this.SVGsaveData(svg); return svg} // + // Stretch the operator, if that is requested + // + if (D != null) {return this.SVGstretchV(HW,D)} + else if (HW != null) {return this.SVG.strechH(HW)} + // // Get the variant, and check for operator size // var scale = this.SVGgetScale(), variant = this.SVGgetVariant(); @@ -1263,6 +1276,11 @@ else if (under && this === under.CoreMO() && parent.Get("accentunder")) {mapchars = SVG.FONTDATA.REMAPACCENTUNDER} } // + // Primes must come from another font + // + if (isScript && this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)) + {variant = SVG.FONTDATA.VARIANT["-TeX-variant"]} + // // Typeset contents // for (var i = 0, m = this.data.length; i < m; i++) { @@ -1349,7 +1367,7 @@ svg.y = H - svg.h; this.SVGhandleSpace(svg); this.SVGhandleColor(svg); - delete this.svg; + delete this.svg.element; this.SVGsaveData(svg); return svg; }, @@ -1365,7 +1383,7 @@ svg = SVG.createDelimiter(this.data.join("").charCodeAt(0),w,svg.scale,values.mathvariant); this.SVGhandleSpace(svg); this.SVGhandleColor(svg); - delete this.svg; + delete this.svg.element; this.SVGsaveData(svg); return svg; } @@ -1386,7 +1404,10 @@ return svg; } else if (SVG.config.mtextFontInherit) { svg = this.SVG(); this.SVGhandleSpace(svg); - svg.Add(BBOX.TEXT(scale,this.data.join(""))); svg.Clean(); + var variant = this.SVGgetVariant(), def = {}; + if (variant.bold) {def["font-weight"] = "bold"} + if (variant.italic) {def["font-style"] = "italic"} + svg.Add(BBOX.TEXT(scale,this.data.join(""),def)); svg.Clean(); this.SVGhandleColor(svg); this.SVGsaveData(svg); return svg; @@ -1428,8 +1449,8 @@ while (svg.element.firstChild) {svg.element.removeChild(svg.element.firstChild)} } this.SVGhandleColor(svg); - if (!svg.element.firstChild) {delete svg.element} this.SVGsaveData(svg); + if (svg.removeable && !svg.element.firstChild) {delete svg.element} return svg; } });