diff --git a/assets/js/MathJax/MathJax.js b/assets/js/MathJax/MathJax.js new file mode 100644 index 0000000..c54a1ed --- /dev/null +++ b/assets/js/MathJax/MathJax.js @@ -0,0 +1,19 @@ +/* + * /MathJax.js + * + * Copyright (c) 2009-2018 The MathJax Consortium + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +if(document.getElementById&&document.childNodes&&document.createElement){if(!(window.MathJax&&MathJax.Hub)){if(window.MathJax){window.MathJax={AuthorConfig:window.MathJax}}else{window.MathJax={}}MathJax.isPacked=true;MathJax.version="2.7.5";MathJax.fileversion="2.7.5";MathJax.cdnVersion="2.7.5";MathJax.cdnFileVersions={};(function(d){var b=window[d];if(!b){b=window[d]={}}var e=[];var c=function(f){var g=f.constructor;if(!g){g=function(){}}for(var h in f){if(h!=="constructor"&&f.hasOwnProperty(h)){g[h]=f[h]}}return g};var a=function(){return function(){return arguments.callee.Init.call(this,arguments)}};b.Object=c({constructor:a(),Subclass:function(f,h){var g=a();g.SUPER=this;g.Init=this.Init;g.Subclass=this.Subclass;g.Augment=this.Augment;g.protoFunction=this.protoFunction;g.can=this.can;g.has=this.has;g.isa=this.isa;g.prototype=new this(e);g.prototype.constructor=g;g.Augment(f,h);return g},Init:function(f){var g=this;if(f.length===1&&f[0]===e){return g}if(!(g instanceof f.callee)){g=new f.callee(e)}return g.Init.apply(g,f)||g},Augment:function(f,g){var h;if(f!=null){for(h in f){if(f.hasOwnProperty(h)){this.protoFunction(h,f[h])}}if(f.toString!==this.prototype.toString&&f.toString!=={}.toString){this.protoFunction("toString",f.toString)}}if(g!=null){for(h in g){if(g.hasOwnProperty(h)){this[h]=g[h]}}}return this},protoFunction:function(g,f){this.prototype[g]=f;if(typeof f==="function"){f.SUPER=this.SUPER.prototype}},prototype:{Init:function(){},SUPER:function(f){return f.callee.SUPER},can:function(f){return typeof(this[f])==="function"},has:function(f){return typeof(this[f])!=="undefined"},isa:function(f){return(f instanceof Object)&&(this instanceof f)}},can:function(f){return this.prototype.can.call(this,f)},has:function(f){return this.prototype.has.call(this,f)},isa:function(g){var f=this;while(f){if(f===g){return true}else{f=f.SUPER}}return false},SimpleSUPER:c({constructor:function(f){return this.SimpleSUPER.define(f)},define:function(f){var h={};if(f!=null){for(var g in f){if(f.hasOwnProperty(g)){h[g]=this.wrap(g,f[g])}}if(f.toString!==this.prototype.toString&&f.toString!=={}.toString){h.toString=this.wrap("toString",f.toString)}}return h},wrap:function(i,h){if(typeof(h)!=="function"||!h.toString().match(/\.\s*SUPER\s*\(/)){return h}var g=function(){this.SUPER=g.SUPER[i];try{var f=h.apply(this,arguments)}catch(j){delete this.SUPER;throw j}delete this.SUPER;return f};g.toString=function(){return h.toString.apply(h,arguments)};return g}})});b.Object.isArray=Array.isArray||function(f){return Object.prototype.toString.call(f)==="[object Array]"};b.Object.Array=Array})("MathJax");(function(BASENAME){var BASE=window[BASENAME];if(!BASE){BASE=window[BASENAME]={}}var isArray=BASE.Object.isArray;var CALLBACK=function(data){var cb=function(){return arguments.callee.execute.apply(arguments.callee,arguments)};for(var id in CALLBACK.prototype){if(CALLBACK.prototype.hasOwnProperty(id)){if(typeof(data[id])!=="undefined"){cb[id]=data[id]}else{cb[id]=CALLBACK.prototype[id]}}}cb.toString=CALLBACK.prototype.toString;return cb};CALLBACK.prototype={isCallback:true,hook:function(){},data:[],object:window,execute:function(){if(!this.called||this.autoReset){this.called=!this.autoReset;return this.hook.apply(this.object,this.data.concat([].slice.call(arguments,0)))}},reset:function(){delete this.called},toString:function(){return this.hook.toString.apply(this.hook,arguments)}};var ISCALLBACK=function(f){return(typeof(f)==="function"&&f.isCallback)};var EVAL=function(code){return eval.call(window,code)};var TESTEVAL=function(){EVAL("var __TeSt_VaR__ = 1");if(window.__TeSt_VaR__){try{delete window.__TeSt_VaR__}catch(error){window.__TeSt_VaR__=null}}else{if(window.execScript){EVAL=function(code){BASE.__code=code;code="try {"+BASENAME+".__result = eval("+BASENAME+".__code)} catch(err) {"+BASENAME+".__result = err}";window.execScript(code);var result=BASE.__result;delete BASE.__result;delete BASE.__code;if(result instanceof Error){throw result}return result}}else{EVAL=function(code){BASE.__code=code;code="try {"+BASENAME+".__result = eval("+BASENAME+".__code)} catch(err) {"+BASENAME+".__result = err}";var head=(document.getElementsByTagName("head"))[0];if(!head){head=document.body}var script=document.createElement("script");script.appendChild(document.createTextNode(code));head.appendChild(script);head.removeChild(script);var result=BASE.__result;delete BASE.__result;delete BASE.__code;if(result instanceof Error){throw result}return result}}}TESTEVAL=null};var USING=function(args,i){if(arguments.length>1){if(arguments.length===2&&!(typeof arguments[0]==="function")&&arguments[0] instanceof Object&&typeof arguments[1]==="number"){args=[].slice.call(args,i)}else{args=[].slice.call(arguments,0)}}if(isArray(args)&&args.length===1&&typeof(args[0])==="function"){args=args[0]}if(typeof args==="function"){if(args.execute===CALLBACK.prototype.execute){return args}return CALLBACK({hook:args})}else{if(isArray(args)){if(typeof(args[0])==="string"&&args[1] instanceof Object&&typeof args[1][args[0]]==="function"){return CALLBACK({hook:args[1][args[0]],object:args[1],data:args.slice(2)})}else{if(typeof args[0]==="function"){return CALLBACK({hook:args[0],data:args.slice(1)})}else{if(typeof args[1]==="function"){return CALLBACK({hook:args[1],object:args[0],data:args.slice(2)})}}}}else{if(typeof(args)==="string"){if(TESTEVAL){TESTEVAL()}return CALLBACK({hook:EVAL,data:[args]})}else{if(args instanceof Object){return CALLBACK(args)}else{if(typeof(args)==="undefined"){return CALLBACK({})}}}}}throw Error("Can't make callback from given data")};var DELAY=function(time,callback){callback=USING(callback);callback.timeout=setTimeout(callback,time);return callback};var WAITFOR=function(callback,signal){callback=USING(callback);if(!callback.called){WAITSIGNAL(callback,signal);signal.pending++}};var WAITEXECUTE=function(){var signals=this.signal;delete this.signal;this.execute=this.oldExecute;delete this.oldExecute;var result=this.execute.apply(this,arguments);if(ISCALLBACK(result)&&!result.called){WAITSIGNAL(result,signals)}else{for(var i=0,m=signals.length;i0&&priority=0;i--){this.hooks.splice(i,1)}this.remove=[]}});var EXECUTEHOOKS=function(hooks,data,reset){if(!hooks){return null}if(!isArray(hooks)){hooks=[hooks]}if(!isArray(data)){data=(data==null?[]:[data])}var handler=HOOKS(reset);for(var i=0,m=hooks.length;ig){g=document.styleSheets.length}if(!i){i=document.head||((document.getElementsByTagName("head"))[0]);if(!i){i=document.body}}return i};var f=[];var c=function(){for(var k=0,j=f.length;k=this.timeout){i(this.STATUS.ERROR);return 1}return 0},file:function(j,i){if(i<0){a.Ajax.loadTimeout(j)}else{a.Ajax.loadComplete(j)}},execute:function(){this.hook.call(this.object,this,this.data[0],this.data[1])},checkSafari2:function(i,j,k){if(i.time(k)){return}if(document.styleSheets.length>j&&document.styleSheets[j].cssRules&&document.styleSheets[j].cssRules.length){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},checkLength:function(i,l,n){if(i.time(n)){return}var m=0;var j=(l.sheet||l.styleSheet);try{if((j.cssRules||j.rules||[]).length>0){m=1}}catch(k){if(k.message.match(/protected variable|restricted URI/)){m=1}else{if(k.message.match(/Security error/)){m=1}}}if(m){setTimeout(a.Callback([n,i.STATUS.OK]),0)}else{setTimeout(i,i.delay)}}},loadComplete:function(i){i=this.fileURL(i);var j=this.loading[i];if(j&&!j.preloaded){a.Message.Clear(j.message);clearTimeout(j.timeout);if(j.script){if(f.length===0){setTimeout(c,0)}f.push(j.script)}this.loaded[i]=j.status;delete this.loading[i];this.addHook(i,j.callback)}else{if(j){delete this.loading[i]}this.loaded[i]=this.STATUS.OK;j={status:this.STATUS.OK}}if(!this.loadHooks[i]){return null}return this.loadHooks[i].Execute(j.status)},loadTimeout:function(i){if(this.loading[i].timeout){clearTimeout(this.loading[i].timeout)}this.loading[i].status=this.STATUS.ERROR;this.loadError(i);this.loadComplete(i)},loadError:function(i){a.Message.Set(["LoadFailed","File failed to load: %1",i],null,2000);a.Hub.signal.Post(["file load error",i])},Styles:function(k,l){var i=this.StyleString(k);if(i===""){l=a.Callback(l);l()}else{var j=document.createElement("style");j.type="text/css";this.head=h(this.head);this.head.appendChild(j);if(j.styleSheet&&typeof(j.styleSheet.cssText)!=="undefined"){j.styleSheet.cssText=i}else{j.appendChild(document.createTextNode(i))}l=this.timer.create.call(this,l,j)}return l},StyleString:function(n){if(typeof(n)==="string"){return n}var k="",o,m;for(o in n){if(n.hasOwnProperty(o)){if(typeof n[o]==="string"){k+=o+" {"+n[o]+"}\n"}else{if(a.Object.isArray(n[o])){for(var l=0;l="0"&&q<="9"){f[j]=p[f[j]-1];if(typeof f[j]==="number"){f[j]=this.number(f[j])}}else{if(q==="{"){q=f[j].substr(1);if(q>="0"&&q<="9"){f[j]=p[f[j].substr(1,f[j].length-2)-1];if(typeof f[j]==="number"){f[j]=this.number(f[j])}}else{var k=f[j].match(/^\{([a-z]+):%(\d+)\|(.*)\}$/);if(k){if(k[1]==="plural"){var d=p[k[2]-1];if(typeof d==="undefined"){f[j]="???"}else{d=this.plural(d)-1;var h=k[3].replace(/(^|[^%])(%%)*%\|/g,"$1$2%\uEFEF").split(/\|/);if(d>=0&&d=3){c.push([f[0],f[1],this.processSnippet(g,f[2])])}else{c.push(e[d])}}}}else{c.push(e[d])}}return c},markdownPattern:/(%.)|(\*{1,3})((?:%.|.)+?)\2|(`+)((?:%.|.)+?)\4|\[((?:%.|.)+?)\]\(([^\s\)]+)\)/,processMarkdown:function(b,h,d){var j=[],e;var c=b.split(this.markdownPattern);var g=c[0];for(var f=1,a=c.length;f1?d[1]:""));f=null}if(e&&(!b.preJax||d)){c.nodeValue=c.nodeValue.replace(b.postJax,(e.length>1?e[1]:""))}if(f&&!f.nodeValue.match(/\S/)){f=f.previousSibling}}if(b.preRemoveClass&&f&&f.className===b.preRemoveClass){a.MathJax.preview=f}a.MathJax.checked=1},processInput:function(a){var b,i=MathJax.ElementJax.STATE;var 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;q--){if((b[q].src||"").match(f)){s.script=b[q].innerHTML;if(RegExp.$2){var t=RegExp.$2.substr(1).split(/\&/);for(var p=0,l=t.length;p=parseInt(y[z])}}return true},Select:function(j){var i=j[d.Browser];if(i){return i(d.Browser)}return null}};var e=k.replace(/^Mozilla\/(\d+\.)+\d+ /,"").replace(/[a-z][-a-z0-9._: ]+\/\d+[^ ]*-[^ ]*\.([a-z][a-z])?\d+ /i,"").replace(/Gentoo |Ubuntu\/(\d+\.)*\d+ (\([^)]*\) )?/,"");d.Browser=d.Insert(d.Insert(new String("Unknown"),{version:"0.0"}),a);for(var v in a){if(a.hasOwnProperty(v)){if(a[v]&&v.substr(0,2)==="is"){v=v.slice(2);if(v==="Mac"||v==="PC"){continue}d.Browser=d.Insert(new String(v),a);var r=new RegExp(".*(Version/| Trident/.*; rv:)((?:\\d+\\.)+\\d+)|.*("+v+")"+(v=="MSIE"?" ":"/")+"((?:\\d+\\.)*\\d+)|(?:^|\\(| )([a-z][-a-z0-9._: ]+|(?:Apple)?WebKit)/((?:\\d+\\.)+\\d+)");var u=r.exec(e)||["","","","unknown","0.0"];d.Browser.name=(u[1]!=""?v:(u[3]||u[5]));d.Browser.version=u[2]||u[4]||u[6];break}}}try{d.Browser.Select({Safari:function(j){var i=parseInt((String(j.version).split("."))[0]);if(i>85){j.webkit=j.version}if(i>=538){j.version="8.0"}else{if(i>=537){j.version="7.0"}else{if(i>=536){j.version="6.0"}else{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.webkit=(navigator.appVersion.match(/WebKit\/(\d+)\./))[1];j.isMobile=(navigator.appVersion.match(/Mobile/i)!=null);j.noContextMenu=j.isMobile},Firefox:function(j){if((j.version==="0.0"||k.match(/Firefox/)==null)&&navigator.product==="Gecko"){var m=k.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||k.match(/ Fennec\//)!=null||k.match(/Mobile/)!=null)},Chrome:function(i){i.noContextMenu=i.isMobile=!!navigator.userAgent.match(/ Mobile[ \/]/)},Opera:function(i){i.version=opera.version()},Edge:function(i){i.isMobile=!!navigator.userAgent.match(/ Phone/)},MSIE:function(j){j.isMobile=!!navigator.userAgent.match(/ Phone/);j.isIE9=!!(document.documentMode&&(window.performance||window.msPerformance));MathJax.HTML.setScriptBug=!j.isIE9||document.documentMode<9;MathJax.Hub.msieHTMLCollectionBug=(document.documentMode<9);if(document.documentMode<10&&!s.params.NoMathPlayer){try{new ActiveXObject("MathPlayer.Factory.1");j.hasMathPlayer=true}catch(m){}try{if(j.hasMathPlayer){var i=document.createElement("object");i.id="mathplayer";i.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";g.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){}}}})}catch(c){console.error(c.message)}d.Browser.Select(MathJax.Message.browsers);if(h.AuthorConfig&&typeof h.AuthorConfig.AuthorInit==="function"){h.AuthorConfig.AuthorInit()}d.queue=h.Callback.Queue();d.queue.Push(["Post",s.signal,"Begin"],["Config",s],["Cookie",s],["Styles",s],["Message",s],function(){var i=h.Callback.Queue(s.Jax(),s.Extensions());return i.Push({})},["Menu",s],s.onLoad(),function(){MathJax.isReady=true},["Typeset",s],["Hash",s],["MenuZoom",s],["Post",s.signal,"End"])})("MathJax")}}; diff --git a/assets/js/MathJax/config/TeX-AMS_CHTML.js b/assets/js/MathJax/config/TeX-AMS_CHTML.js new file mode 100644 index 0000000..d531549 --- /dev/null +++ b/assets/js/MathJax/config/TeX-AMS_CHTML.js @@ -0,0 +1,57 @@ +/* + * /MathJax/config/TeX-AMS_CHTML.js + * + * Copyright (c) 2010-2018 The MathJax Consortium + * + * Part of the MathJax library. + * See http://www.mathjax.org for details. + * + * Licensed under the Apache License, Version 2.0; + * you may not use this file except in compliance with the License. + * + * http://www.apache.org/licenses/LICENSE-2.0 + */ + +MathJax.Ajax.Preloading( + "[MathJax]/jax/input/TeX/config.js", + "[MathJax]/jax/output/CommonHTML/config.js", + "[MathJax]/jax/output/PreviewHTML/config.js", + "[MathJax]/extensions/tex2jax.js", + "[MathJax]/extensions/MathEvents.js", + "[MathJax]/extensions/MathZoom.js", + "[MathJax]/extensions/MathMenu.js", + "[MathJax]/jax/element/mml/jax.js", + "[MathJax]/extensions/toMathML.js", + "[MathJax]/extensions/TeX/noErrors.js", + "[MathJax]/extensions/TeX/noUndefined.js", + "[MathJax]/jax/input/TeX/jax.js", + "[MathJax]/extensions/TeX/AMSmath.js", + "[MathJax]/extensions/TeX/AMSsymbols.js", + "[MathJax]/jax/output/PreviewHTML/jax.js", + "[MathJax]/extensions/fast-preview.js", + "[MathJax]/extensions/AssistiveMML.js", + "[MathJax]/extensions/a11y/accessibility-menu.js" +); + +MathJax.Hub.Config({ + extensions: ['[a11y]/accessibility-menu.js'] +}); + +MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); +MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.tex2jax={version:"2.7.5",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"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":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"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:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},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(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});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,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir: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:false,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},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}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(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==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(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===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,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},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:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===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(e){if(e%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(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===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},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},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,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&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 f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],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"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_CHTML.js"); diff --git a/assets/js/MathJax/fonts/HTML-CSS/TeX/woff/MathJax_AMS-Regular.woff b/assets/js/MathJax/fonts/HTML-CSS/TeX/woff/MathJax_AMS-Regular.woff new file mode 100644 index 0000000..11516fb Binary files /dev/null and b/assets/js/MathJax/fonts/HTML-CSS/TeX/woff/MathJax_AMS-Regular.woff differ diff --git a/assets/js/MathJax/fonts/HTML-CSS/TeX/woff/MathJax_Math-Italic.woff b/assets/js/MathJax/fonts/HTML-CSS/TeX/woff/MathJax_Math-Italic.woff new file mode 100644 index 0000000..df9b26d Binary files /dev/null and b/assets/js/MathJax/fonts/HTML-CSS/TeX/woff/MathJax_Math-Italic.woff differ diff --git a/assets/js/MathJax/fonts/HTML-CSS/TeX/woff/MathJax_Size2-Regular.woff b/assets/js/MathJax/fonts/HTML-CSS/TeX/woff/MathJax_Size2-Regular.woff new file mode 100644 index 0000000..1e48a25 Binary files /dev/null and b/assets/js/MathJax/fonts/HTML-CSS/TeX/woff/MathJax_Size2-Regular.woff differ diff --git a/assets/js/MathJax/fonts/HTML-CSS/TeX/woff/MathJax_Size3-Regular.woff b/assets/js/MathJax/fonts/HTML-CSS/TeX/woff/MathJax_Size3-Regular.woff new file mode 100644 index 0000000..bd564c4 Binary files /dev/null and b/assets/js/MathJax/fonts/HTML-CSS/TeX/woff/MathJax_Size3-Regular.woff differ diff --git a/assets/js/MathJax/fonts/HTML-CSS/TeX/woff/MathJax_Size4-Regular.woff b/assets/js/MathJax/fonts/HTML-CSS/TeX/woff/MathJax_Size4-Regular.woff new file mode 100644 index 0000000..46be3ea Binary files /dev/null and b/assets/js/MathJax/fonts/HTML-CSS/TeX/woff/MathJax_Size4-Regular.woff differ diff --git a/assets/js/MathJax/jax/output/CommonHTML/autoload/mtable.js b/assets/js/MathJax/jax/output/CommonHTML/autoload/mtable.js new file mode 100644 index 0000000..835e9b2 --- /dev/null +++ b/assets/js/MathJax/jax/output/CommonHTML/autoload/mtable.js @@ -0,0 +1,19 @@ +/* + * /MathJax/jax/output/CommonHTML/autoload/mtable.js + * + * Copyright (c) 2009-2018 The MathJax Consortium + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.5";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;qw){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;qt||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;HE&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;Ht*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")}); diff --git a/assets/js/MathJax/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js b/assets/js/MathJax/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js new file mode 100644 index 0000000..f796ec7 --- /dev/null +++ b/assets/js/MathJax/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js @@ -0,0 +1,19 @@ +/* + * /MathJax/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js + * + * Copyright (c) 2009-2018 The MathJax Consortium + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +(function(b){var a="MathJax_AMS";b.FONTDATA.FONTS[a]={className:b.FONTDATA.familyName(a),centerline:270,ascent:1003,descent:463,32:[0,0,250,0,0],65:[701,1,722,17,703],66:[683,1,667,11,620],67:[702,19,722,39,684],68:[683,1,722,16,688],69:[683,1,667,12,640],70:[683,1,611,12,584],71:[702,19,778,39,749],72:[683,1,778,14,762],73:[683,1,389,20,369],74:[683,77,500,6,478],75:[683,1,778,22,768],76:[683,1,667,12,640],77:[683,1,944,17,926],78:[683,20,722,20,702],79:[701,19,778,34,742],80:[683,1,611,16,597],81:[701,181,778,34,742],82:[683,1,722,16,705],83:[702,12,556,28,528],84:[683,1,667,33,635],85:[683,19,722,16,709],86:[683,20,722,0,719],87:[683,19,1000,5,994],88:[683,1,722,16,705],89:[683,1,722,16,704],90:[683,1,667,29,635],107:[683,1,556,17,534],160:[0,0,250,0,0],165:[683,0,750,11,738],174:[709,175,947,32,915],240:[749,21,556,42,509],295:[695,13,540,42,562],710:[845,-561,2333,-14,2346],732:[899,-628,2333,1,2330],770:[845,-561,0,-2347,13],771:[899,-628,0,-2332,-3],989:[605,85,778,55,719],1008:[434,6,667,37,734],8245:[560,-43,275,12,244],8463:[695,13,540,42,562],8487:[684,22,722,44,675],8498:[695,1,556,55,497],8502:[763,21,667,-22,687],8503:[764,43,444,-22,421],8504:[764,43,667,54,640],8513:[705,23,639,37,577],8592:[437,-64,500,64,422],8594:[437,-64,500,58,417],8602:[437,-60,1000,56,942],8603:[437,-60,1000,54,942],8606:[417,-83,1000,56,944],8608:[417,-83,1000,55,943],8610:[417,-83,1111,56,1031],8611:[417,-83,1111,79,1054],8619:[575,41,1000,56,964],8620:[575,41,1000,35,943],8621:[417,-83,1389,57,1331],8622:[437,-60,1000,56,942],8624:[722,0,500,56,444],8625:[722,0,500,55,443],8630:[461,1,1000,17,950],8631:[460,1,1000,46,982],8634:[650,83,778,56,722],8635:[650,83,778,56,721],8638:[694,194,417,188,375],8639:[694,194,417,41,228],8642:[694,194,417,188,375],8643:[694,194,417,41,228],8644:[667,0,1000,55,944],8646:[667,0,1000,55,944],8647:[583,83,1000,55,944],8648:[694,193,833,83,749],8649:[583,83,1000,55,944],8650:[694,194,833,83,749],8651:[514,14,1000,55,944],8652:[514,14,1000,55,944],8653:[534,35,1000,54,942],8654:[534,37,1000,32,965],8655:[534,35,1000,55,943],8666:[611,111,1000,76,944],8667:[611,111,1000,55,923],8669:[417,-83,1000,56,943],8672:[437,-64,1334,64,1251],8674:[437,-64,1334,84,1251],8705:[846,21,500,56,444],8708:[860,166,556,55,497],8709:[587,3,778,54,720],8717:[440,1,429,102,456],8722:[270,-230,500,84,417],8724:[766,93,778,57,722],8726:[430,23,778,91,685],8733:[472,-28,778,56,722],8736:[694,0,722,55,666],8737:[714,20,722,55,666],8738:[551,51,722,55,666],8739:[430,23,222,91,131],8740:[750,252,278,-21,297],8741:[431,23,389,55,331],8742:[750,250,500,-20,518],8756:[471,82,667,24,643],8757:[471,82,667,23,643],8764:[365,-132,778,55,719],8765:[367,-133,778,56,722],8769:[467,-32,778,55,719],8770:[463,-34,778,55,720],8774:[652,155,778,54,720],8776:[481,-50,778,55,719],8778:[579,39,778,51,725],8782:[492,-8,778,56,722],8783:[492,-133,778,56,722],8785:[609,108,778,56,722],8786:[601,101,778,15,762],8787:[601,102,778,14,762],8790:[367,-133,778,56,722],8791:[721,-133,778,56,722],8796:[859,-133,778,56,723],8806:[753,175,778,83,694],8807:[753,175,778,83,694],8808:[752,286,778,82,693],8809:[752,286,778,82,693],8812:[750,250,500,74,425],8814:[708,209,778,82,693],8815:[708,209,778,82,693],8816:[801,303,778,82,694],8817:[801,303,778,82,694],8818:[732,228,778,56,722],8819:[732,228,778,56,722],8822:[681,253,778,44,734],8823:[681,253,778,83,694],8828:[580,153,778,83,694],8829:[580,154,778,82,694],8830:[732,228,778,56,722],8831:[732,228,778,56,722],8832:[705,208,778,82,693],8833:[705,208,778,82,693],8840:[801,303,778,83,693],8841:[801,303,778,82,691],8842:[635,241,778,84,693],8843:[635,241,778,82,691],8847:[539,41,778,83,694],8848:[539,41,778,64,714],8858:[582,82,778,57,721],8859:[582,82,778,57,721],8861:[582,82,778,57,721],8862:[689,0,778,55,722],8863:[689,0,778,55,722],8864:[689,0,778,55,722],8865:[689,0,778,55,722],8872:[694,0,611,55,555],8873:[694,0,722,55,666],8874:[694,0,889,55,833],8876:[695,1,611,-55,554],8877:[695,1,611,-55,554],8878:[695,1,722,-55,665],8879:[695,1,722,-55,665],8882:[539,41,778,83,694],8883:[539,41,778,83,694],8884:[636,138,778,83,694],8885:[636,138,778,83,694],8888:[408,-92,1111,55,1055],8890:[431,212,556,57,500],8891:[716,0,611,55,555],8892:[716,0,611,55,555],8901:[189,0,278,55,222],8903:[545,44,778,55,720],8905:[492,-8,778,146,628],8906:[492,-8,778,146,628],8907:[694,22,778,55,722],8908:[694,22,778,55,722],8909:[464,-36,778,56,722],8910:[578,21,760,83,676],8911:[578,22,760,83,676],8912:[540,40,778,84,694],8913:[540,40,778,83,693],8914:[598,22,667,55,611],8915:[598,22,667,55,611],8916:[736,22,667,56,611],8918:[541,41,778,82,693],8919:[541,41,778,82,693],8920:[568,67,1333,56,1277],8921:[568,67,1333,55,1277],8922:[886,386,778,83,674],8923:[886,386,778,83,674],8926:[734,0,778,83,694],8927:[734,0,778,82,694],8928:[801,303,778,82,693],8929:[801,303,778,82,694],8934:[730,359,778,55,719],8935:[730,359,778,55,719],8936:[730,359,778,55,719],8937:[730,359,778,55,719],8938:[706,208,778,82,693],8939:[706,208,778,82,693],8940:[802,303,778,82,693],8941:[801,303,778,82,693],8994:[378,-122,778,55,722],8995:[378,-143,778,55,722],9416:[709,175,902,8,894],9484:[694,-306,500,55,444],9488:[694,-306,500,55,444],9492:[366,22,500,55,444],9496:[366,22,500,55,444],9585:[694,195,889,0,860],9586:[694,195,889,0,860],9632:[689,0,778,55,722],9633:[689,0,778,55,722],9650:[575,20,722,84,637],9651:[575,20,722,84,637],9654:[539,41,778,83,694],9660:[576,19,722,84,637],9661:[576,19,722,84,637],9664:[539,41,778,83,694],9674:[716,132,667,56,611],9733:[694,111,944,49,895],10003:[706,34,833,84,749],10016:[716,22,833,48,786],10731:[716,132,667,56,611],10846:[813,97,611,55,555],10877:[636,138,778,83,694],10878:[636,138,778,83,694],10885:[762,290,778,55,722],10886:[762,290,778,55,722],10887:[635,241,778,82,693],10888:[635,241,778,82,693],10889:[761,387,778,57,718],10890:[761,387,778,57,718],10891:[1003,463,778,83,694],10892:[1003,463,778,83,694],10901:[636,138,778,83,694],10902:[636,138,778,83,694],10933:[752,286,778,82,693],10934:[752,286,778,82,693],10935:[761,294,778,57,717],10936:[761,294,778,57,717],10937:[761,337,778,57,718],10938:[761,337,778,57,718],10949:[753,215,778,84,694],10950:[753,215,778,83,694],10955:[783,385,778,82,693],10956:[783,385,778,82,693],57350:[430,23,222,-20,240],57351:[431,24,389,-20,407],57352:[605,85,778,55,719],57353:[434,6,667,37,734],57356:[752,284,778,82,693],57357:[752,284,778,82,693],57358:[919,421,778,82,694],57359:[801,303,778,82,694],57360:[801,303,778,82,694],57361:[919,421,778,82,694],57366:[828,330,778,82,694],57367:[752,332,778,82,694],57368:[828,330,778,82,694],57369:[752,333,778,82,693],57370:[634,255,778,84,693],57371:[634,254,778,82,691]};b.fontLoaded("TeX/"+a.substr(8))})(MathJax.OutputJax.CommonHTML); diff --git a/assets/js/MathJax/jax/output/CommonHTML/fonts/TeX/fontdata.js b/assets/js/MathJax/jax/output/CommonHTML/fonts/TeX/fontdata.js new file mode 100644 index 0000000..a357050 --- /dev/null +++ b/assets/js/MathJax/jax/output/CommonHTML/fonts/TeX/fontdata.js @@ -0,0 +1,19 @@ +/* + * /MathJax/jax/output/CommonHTML/fonts/TeX/fontdata.js + * + * Copyright (c) 2009-2018 The MathJax Consortium + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +(function(a,c,r){var q="2.7.5";var m="MathJax_Main",s="MathJax_Main-Bold",o="MathJax_Math-Italic",i="MathJax_AMS",h="MathJax_Size1",g="MathJax_Size2",f="MathJax_Size3",d="MathJax_Size4";var j="H",b="V",l={load:"extra",dir:j},e={load:"extra",dir:b};var k=[8722,m,0,0,0,-0.31,-0.31];var n=[61,m,0,0,0,0,0.1];var p=a.config.undefinedFamily;MathJax.Hub.Insert(a.config.styles,{".MJXc-TeX-unknown-R":{"font-family":p,"font-style":"normal","font-weight":"normal"},".MJXc-TeX-unknown-I":{"font-family":p,"font-style":"italic","font-weight":"normal"},".MJXc-TeX-unknown-B":{"font-family":p,"font-style":"normal","font-weight":"bold"},".MJXc-TeX-unknown-BI":{"font-family":p,"font-style":"italic","font-weight":"bold"}});a.TEX=a.TEXDEF;a.FONTDEF.TeX={version:q,baselineskip:1.2,lineH:0.8,lineD:0.2,FONTS:{MathJax_AMS:"TeX/AMS-Regular.js","MathJax_Caligraphic-Bold":"TeX/Caligraphic-Bold.js",MathJax_Fraktur:"TeX/Fraktur-Regular.js","MathJax_Fraktur-Bold":"TeX/Fraktur-Bold.js","MathJax_Math-BoldItalic":"TeX/Math-BoldItalic.js",MathJax_SansSerif:"TeX/SansSerif-Regular.js","MathJax_SansSerif-Bold":"TeX/SansSerif-Bold.js","MathJax_SansSerif-Italic":"TeX/SansSerif-Italic.js",MathJax_Script:"TeX/Script-Regular.js",MathJax_Typewriter:"TeX/Typewriter-Regular.js"},UNKNOWN:{R:{className:"MJXc-TeX-unknown-R"},I:{className:"MJXc-TeX-unknown-I"},B:{className:"MJXc-TeX-unknown-B"},BI:{className:"MJXc-TeX-unknown-BI"}},VARIANT:{normal:{fonts:[m,h,i],cache:{},offsetG:945,variantG:"italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,57696:[8594,"-TeX-vec"],8214:8741,8726:[8726,"-TeX-variant",true],8463:[8463,"-TeX-variant",true],8242:[39,"sans-serif-italic"],10744:[47,c.VARIANT.ITALIC]}},bold:{fonts:[s],bold:true,cache:{},chain:"normal",offsetG:945,variantG:"bold-italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,10744:[47,"bold-italic"],57696:[8594,"-TeX-vec-bold"],8214:8741,8602:"\u2190\u0338",8603:"\u2192\u0338",8622:"\u2194\u0338",8653:"\u21D0\u0338",8654:"\u21D4\u0338",8655:"\u21D2\u0338",8708:"\u2203\u0338",8740:"\u2223\u0338",8742:"\u2225\u0338",8769:"\u223C\u0338",8775:"\u2245\u0338",8814:"<\u0338",8815:">\u0338",8816:"\u2264\u0338",8817:"\u2265\u0338",8832:"\u227A\u0338",8833:"\u227B\u0338",8840:"\u2286\u0338",8841:"\u2287\u0338",8876:"\u22A2\u0338",8877:"\u22A8\u0338",8928:"\u227C\u0338",8929:"\u227D\u0338"}},italic:{fonts:[o,"MathJax_Main-Italic"],italic:true,cache:{},chain:"normal",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"bold-italic":{fonts:["MathJax_Math-BoldItalic"],bold:true,italic:true,cache:{},chain:"bold",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"double-struck":{fonts:[i,m,h],cache:{}},fraktur:{fonts:["MathJax_Fraktur"],cache:{},chain:"normal"},"bold-fraktur":{fonts:["MathJax_Fraktur-Bold"],bold:true,cache:{},chain:"bold"},script:{fonts:["MathJax_Script"],cache:{},chain:"normal"},"bold-script":{fonts:["MathJax_Script"],bold:true,cache:{},chain:"bold"},"sans-serif":{fonts:["MathJax_SansSerif"],cache:{},chain:"normal"},"bold-sans-serif":{fonts:["MathJax_SansSerif-Bold"],bold:true,cache:{},chain:"bold"},"sans-serif-italic":{fonts:["MathJax_SansSerif-Italic"],italic:true,cache:{},chain:"italic"},"sans-serif-bold-italic":{fonts:["MathJax_SansSerif-Italic"],bold:true,italic:true,cache:{},chain:"italic"},monospace:{fonts:["MathJax_Typewriter"],cache:{},chain:"normal"},"-tex-caligraphic":{fonts:["MathJax_Caligraphic"],offsetA:65,variantA:"italic",cache:{},chain:"normal"},"-tex-oldstyle":{fonts:["MathJax_Caligraphic"],cache:{},chain:"normal"},"-tex-mathit":{fonts:["MathJax_Main-Italic"],italic:true,noIC:true,cache:{},chain:"normal",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"-TeX-variant":{fonts:[i,m,h],cache:{},remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353,8726:[8726,c.VARIANT.NORMAL,true],8463:[8463,c.VARIANT.NORMAL,true]}},"-TeX-vec":{fonts:["MathJax_Vector"],cache:{}},"-TeX-vec-bold":{fonts:["MathJax_Vector-Bold"],cache:{}},"-largeOp":{fonts:[g,h,m,i],cache:{}},"-smallOp":{fonts:[h,m,i],cache:{}},"-tex-caligraphic-bold":{fonts:["MathJax_Caligraphic-Bold","MathJax_Main-Bold"],bold:true,cache:{},chain:"normal",offsetA:65,variantA:"bold-italic"},"-tex-oldstyle-bold":{fonts:["MathJax_Caligraphic-Bold","MathJax_Main-Bold"],bold:true,cache:{},chain:"normal"}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:32},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:1014,offset:"G"}],REMAP:{10:32,8254:713,65079:9182,65080:9183,183:8901,697:8242,978:933,8710:916,8213:8212,8215:95,8226:8729,8260:47,8965:8892,8966:10846,9642:9632,9652:9650,9653:9651,9656:9654,9662:9660,9663:9661,9666:9664,9001:10216,9002:10217,12296:10216,12297:10217,10072:8739,10799:215,9723:9633,9724:9632,8450:[67,c.VARIANT.DOUBLESTRUCK],8459:[72,c.VARIANT.SCRIPT],8460:[72,c.VARIANT.FRAKTUR],8461:[72,c.VARIANT.DOUBLESTRUCK],8462:[104,c.VARIANT.ITALIC],8464:[74,c.VARIANT.SCRIPT],8465:[73,c.VARIANT.FRAKTUR],8466:[76,c.VARIANT.SCRIPT],8469:[78,c.VARIANT.DOUBLESTRUCK],8473:[80,c.VARIANT.DOUBLESTRUCK],8474:[81,c.VARIANT.DOUBLESTRUCK],8475:[82,c.VARIANT.SCRIPT],8476:[82,c.VARIANT.FRAKTUR],8477:[82,c.VARIANT.DOUBLESTRUCK],8484:[90,c.VARIANT.DOUBLESTRUCK],8486:[937,c.VARIANT.NORMAL],8488:[90,c.VARIANT.FRAKTUR],8492:[66,c.VARIANT.SCRIPT],8493:[67,c.VARIANT.FRAKTUR],8496:[69,c.VARIANT.SCRIPT],8497:[70,c.VARIANT.SCRIPT],8499:[77,c.VARIANT.SCRIPT],8775:8774,8988:9484,8989:9488,8990:9492,8991:9496,8708:"\u2203\u0338",8716:"\u220B\u0338",8772:"\u2243\u0338",8777:"\u2248\u0338",8802:"\u2261\u0338",8813:"\u224D\u0338",8820:"\u2272\u0338",8821:"\u2273\u0338",8824:"\u2276\u0338",8825:"\u2277\u0338",8836:"\u2282\u0338",8837:"\u2283\u0338",8930:"\u2291\u0338",8931:"\u2292\u0338",10764:"\u222C\u222C",8243:"\u2032\u2032",8244:"\u2032\u2032\u2032",8246:"\u2035\u2035",8247:"\u2035\u2035\u2035",8279:"\u2032\u2032\u2032\u2032",},REMAPACCENT:{"\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030A":"\u02DA","\u030C":"\u02C7","\u20D7":"\uE160","\u2192":"\uE160","\u2032":"'","\u2035":"`","\u20D0":"\u21BC","\u20D1":"\u21C0","\u20D6":"\u2190","\u20E1":"\u2194","\u20F0":"*","\u20DB":"...","\u20DC":"...."},REMAPACCENTUNDER:{"\u20EC":"\u21C1","\u20ED":"\u21BD","\u20EE":"\u2190","\u20EF":"\u2192","\u20DB":"...","\u20DC":"...."},PLANE1MAP:[[119808,119833,65,c.VARIANT.BOLD],[119834,119859,97,c.VARIANT.BOLD],[119860,119885,65,c.VARIANT.ITALIC],[119886,119911,97,c.VARIANT.ITALIC],[119912,119937,65,c.VARIANT.BOLDITALIC],[119938,119963,97,c.VARIANT.BOLDITALIC],[119964,119989,65,c.VARIANT.SCRIPT],[120068,120093,65,c.VARIANT.FRAKTUR],[120094,120119,97,c.VARIANT.FRAKTUR],[120120,120145,65,c.VARIANT.DOUBLESTRUCK],[120172,120197,65,c.VARIANT.BOLDFRAKTUR],[120198,120223,97,c.VARIANT.BOLDFRAKTUR],[120224,120249,65,c.VARIANT.SANSSERIF],[120250,120275,97,c.VARIANT.SANSSERIF],[120276,120301,65,c.VARIANT.BOLDSANSSERIF],[120302,120327,97,c.VARIANT.BOLDSANSSERIF],[120328,120353,65,c.VARIANT.SANSSERIFITALIC],[120354,120379,97,c.VARIANT.SANSSERIFITALIC],[120432,120457,65,c.VARIANT.MONOSPACE],[120458,120483,97,c.VARIANT.MONOSPACE],[120488,120513,913,c.VARIANT.BOLD],[120546,120570,913,c.VARIANT.ITALIC],[120572,120603,945,c.VARIANT.ITALIC],[120604,120628,913,c.VARIANT.BOLDITALIC],[120630,120661,945,c.VARIANT.BOLDITALIC],[120662,120686,913,c.VARIANT.BOLDSANSSERIF],[120720,120744,913,c.VARIANT.SANSSERIFBOLDITALIC],[120782,120791,48,c.VARIANT.BOLD],[120802,120811,48,c.VARIANT.SANSSERIF],[120812,120821,48,c.VARIANT.BOLDSANSSERIF],[120822,120831,48,c.VARIANT.MONOSPACE]],REMAPGREEK:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,930:920,932:84,935:88,938:8711,970:8706,971:1013,972:977,973:1008,974:981,975:1009,976:982},RemapPlane1:function(w,v){for(var u=0,t=this.PLANE1MAP.length;u *":{position:"absolute"},".MJXc-bevelled > *":{display:"inline-block"},".mjx-stack":{display:"inline-block"},".mjx-op":{display:"block"},".mjx-under":{display:"table-cell"},".mjx-over":{display:"block"},".mjx-over > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-under > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-stack > .mjx-sup":{display:"block"},".mjx-stack > .mjx-sub":{display:"block"},".mjx-prestack > .mjx-presup":{display:"block"},".mjx-prestack > .mjx-presub":{display:"block"},".mjx-delim-h > .mjx-char":{display:"inline-block"},".mjx-surd":{"vertical-align":"top"},".mjx-mphantom *":{visibility:"hidden"},".mjx-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"2px 3px","font-style":"normal","font-size":"90%"},".mjx-annotation-xml":{"line-height":"normal"},".mjx-menclose > svg":{fill:"none",stroke:"currentColor"},".mjx-mtr":{display:"table-row"},".mjx-mlabeledtr":{display:"table-row"},".mjx-mtd":{display:"table-cell","text-align":"center"},".mjx-label":{display:"table-row"},".mjx-box":{display:"inline-block"},".mjx-block":{display:"block"},".mjx-span":{display:"inline"},".mjx-char":{display:"block","white-space":"pre"},".mjx-itable":{display:"inline-table",width:"auto"},".mjx-row":{display:"table-row"},".mjx-cell":{display:"table-cell"},".mjx-table":{display:"table",width:"100%"},".mjx-line":{display:"block",height:0},".mjx-strut":{width:0,"padding-top":k+"em"},".mjx-vsize":{width:0},".MJXc-space1":{"margin-left":".167em"},".MJXc-space2":{"margin-left":".222em"},".MJXc-space3":{"margin-left":".278em"},".mjx-chartest":{display:"block",visibility:"hidden",position:"absolute",top:0,"line-height":"normal","font-size":"500%"},".mjx-chartest .mjx-char":{display:"inline"},".mjx-chartest .mjx-box":{"padding-top":"1000px"},".MJXc-processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MJXc-processed":{display:"none"},".mjx-test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".mjx-test.mjx-test-display":{display:"table!important"},".mjx-test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".mjx-test.mjx-test-default":{display:"block!important",clear:"both"},".mjx-ex-box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .mjx-left-box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .mjx-right-box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .mjx-right-box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_CHTML_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","z-index":401,position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}};var i=1000000;var n=5;var c={},r=MathJax.Hub.config;a.Augment({settings:f.config.menuSettings,config:{styles:p},Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var s=this.settings;if(s.scale){this.config.scale=s.scale}this.require.push(this.fontDir+"/TeX/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");c=this.config.linebreaks},Startup:function(){e=MathJax.Extension.MathEvents.Event;q=MathJax.Extension.MathEvents.Touch;h=MathJax.Extension.MathEvents.Hover;this.ContextMenu=e.ContextMenu;this.Mousedown=e.AltContextMenu;this.Mouseover=h.Mouseover;this.Mouseout=h.Mouseout;this.Mousemove=h.Mousemove;var s=a.addElement(document.body,"mjx-block",{style:{display:"block",width:"5in"}});this.pxPerInch=s.offsetWidth/5;s.parentNode.removeChild(s);this.TestSpan=a.Element("mjx-test",{style:{left:"1em"}},[["mjx-left-box"],["mjx-ex-box"],["mjx-right-box"]]);return o.Styles(this.config.styles,["InitializeCHTML",this])},InitializeCHTML:function(){this.getDefaultExEm();if(this.defaultEm){return}var s=MathJax.Callback();o.timer.start(o,function(t){if(t.time(s)){f.signal.Post(["CommonHTML Jax - no default em size"]);return}a.getDefaultExEm();if(a.defaultEm){s()}else{setTimeout(t,t.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return s},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var s=document.body.appendChild(this.TestSpan.cloneNode(true));s.className+=" mjx-test-inline mjx-test-default";this.defaultEm=this.getFontSize(s);this.defaultEx=s.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,s.lastChild.offsetLeft-s.firstChild.offsetLeft-2);document.body.removeChild(s)},getFontSize:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);return parseFloat(s.fontSize)}:function(s){return s.style.pixelLeft}),getMaxWidth:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);if(s.maxWidth!=="none"){return parseFloat(s.maxWidth)}return 0}:function(t){var s=t.currentStyle.maxWidth;if(s!=="none"){if(s.match(/\d*px/)){return parseFloat(s)}var u=t.style.left;t.style.left=s;s=t.style.pixelLeft;t.style.left=u;return s}return 0}),loadFont:function(s){f.RestartAfter(o.Require(this.fontDir+"/"+s))},fontLoaded:function(s){if(!s.match(/-|fontdata/)){s+="-Regular"}if(!s.match(/\.js$/)){s+=".js"}MathJax.Callback.Queue(["Post",f.Startup.signal,"CommonHTML - font data loaded for "+s],["loadComplete",o,this.fontDir+"/"+s])},Element:function(s,u,t){if(s.substr(0,4)==="mjx-"){if(!u){u={}}if(u.isMathJax==null){u.isMathJax=true}if(u.className){u.className=s+" "+u.className}else{u.className=s}s="span"}return this.HTMLElement(s,u,t)},addElement:function(u,s,v,t){return u.appendChild(this.Element(s,v,t))},HTMLElement:m.Element,ucMatch:m.ucMatch,setScript:m.setScript,getNode:function(x,w){var u=RegExp("\\b"+w+"\\b");var t=[];while(x){for(var v=0,s=x.childNodes.length;v=x.CHTMLlast+x.CHTMLchunk){this.postTranslate(x);x.CHTMLchunk=Math.floor(x.CHTMLchunk*this.config.EqnChunkFactor);x.CHTMLdelay=true}},initCHTML:function(t,s){},savePreview:function(s){var t=s.MathJax.preview;if(t&&t.parentNode){s.MathJax.tmpPreview=document.createElement("span");t.parentNode.replaceChild(s.MathJax.tmpPreview,t)}},restorePreview:function(s){var t=s.MathJax.tmpPreview;if(t){t.parentNode.replaceChild(s.MathJax.preview,t);delete s.MathJax.tmpPreview}},getMetrics:function(s){var t=s.CHTML;this.jax=s;this.em=t.em;this.outerEm=t.outerEm;this.scale=t.scale;this.cwidth=t.cwidth;this.linebreakWidth=t.lineWidth},postTranslate:function(x){var t=x.jax[this.id];for(var v=x.CHTMLlast,s=x.CHTMLeqn;vC.h){t.marginTop=a.Em(C.t-C.h)}if(C.b>C.d){t.marginBottom=a.Em(C.b-C.d)}if(C.l<0){t.paddingLeft=a.Em(-C.l)}if(C.r>C.w){t.marginRight=a.Em(C.r-C.w)}t.position="absolute";var z=v.offsetWidth,x=v.offsetHeight,D=A.firstChild.offsetHeight,w=A.firstChild.offsetWidth;v.style.position="";return{Y:-e.getBBox(B).h,mW:w,mH:D,zW:z,zH:x}},Remove:function(s){var t=document.getElementById(s.inputID+"-Frame");if(t&&s.CHTML.display){t=t.parentNode}if(t){t.parentNode.removeChild(t)}delete s.CHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.04,medium:0.06,thick:0.1,infinity:i},SPACECLASS:{thinmathspace:"MJXc-space1",mediummathspace:"MJXc-space2",thickmathspace:"MJXc-space3"},pxPerInch:96,em:16,maxStretchyParts:1000,FONTDEF:{},TEXDEF:{x_height:0.442,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.45,big_op_spacing5:0.1,surd_height:0.075,scriptspace:0.05,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},isChar:function(s){if(s.length===1){return true}if(s.length!==2){return false}var t=s.charCodeAt(0);return(t>=55296&&t<56319)},unicodeChar:function(s){if(s<65535){return String.fromCharCode(s)}s-=65536;return String.fromCharCode((s>>10)+55296)+String.fromCharCode((s&1023)+56320)},getUnicode:function(s){var t=s.text.charCodeAt(s.i);s.i++;if(t>=55296&&t<56319){t=(((t-55296)<<10)+(s.text.charCodeAt(s.i)-56320))+65536;s.i++}return t},getCharList:function(w,v){var u,z,s=w.cache,B=v;if(s[v]){return s[v]}if(v>65535&&this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(v,w);v=y.n;w=y.variant}var t=this.FONTDATA.RANGES,A=this.FONTDATA.VARIANT;if(v>=t[0].low&&v<=t[t.length-1].high){for(u=0,z=t.length;u=t[u].low&&v<=t[u].high){if(t[u].remap&&t[u].remap[v]){v=x+t[u].remap[v]}else{v=v-t[u].low+x;if(t[u].add){v+=t[u].add}}if(w["variant"+t[u].offset]){w=A[w["variant"+t[u].offset]]}break}}}s[B]=this.remapChar(w,v,0);return s[B]},remapChar:function(t,y,w){var v=[],x=this.FONTDATA.VARIANT;if(t.remap&&t.remap[y]){y=t.remap[y];if(t.remap.variant){t=x[t.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!t.noRemap){y=this.FONTDATA.REMAP[y]}}if(g(y)){if(y[2]){w=n}t=x[y[1]];y=y[0]}if(typeof(y)==="string"){var s={text:y,i:0,length:y.length};while(s.i(B.a||0)){B.a=u.a}u.className=w.className;var t=w[D.n];if(A){var v=w;if(g(A)){v=a.FONTDATA.FONTS[A[1]];A=A[0];if(typeof(v)==="string"){a.loadFont(v)}}if(v[D.n]){a.fixChar(v[D.n],D.n)}t=a.fixChar(v[A],A);u.className=v.className}u.text+=t.c;if(B.hB.w+t[3]){B.l=B.w+t[3]}if(B.rw.a){w.a=u.a}}s=this.flushText(s,u,t.style);if(v[2]<3){s.style.width=a.Em(v[2])}},flushText:function(t,u,s){t=a.addElement(t,"mjx-charbox",{className:u.className,style:s},[u.text]);if(u.a){t.style.paddingBottom=a.Em(u.a)}u.text="";u.className=null;u.a=0;u.flushed=true;return t}},handleText:function(u,x,t,w){if(u.childNodes.length===0){a.addElement(u,"mjx-char");w=a.BBOX.empty(w)}if(typeof(t)==="string"){t=this.FONTDATA.VARIANT[t]}if(!t){t=this.FONTDATA.VARIANT[d.VARIANT.NORMAL]}var s={text:x,i:0,length:x.length},v=[];if(t.style&&s.length){v.push(this.styledText(t,x))}else{while(s.i-w.b){u.firstChild.style.paddingBottom=this.EmRounded(w.d+w.b)}return w},createDelimiter:function(x,s,u,A,v){if(!s){var B=this.BBOX.zero();B.w=B.r=this.TEX.nulldelimiterspace;a.addElement(x,"mjx-box",{style:{width:B.w}});return B}if(!(u instanceof Array)){u=[u,u]}var z=u[1];u=u[0];var t={alias:s};while(t.alias){s=t.alias;t=this.FONTDATA.DELIMITERS[s];if(!t){t={HW:[0,this.FONTDATA.VARIANT[d.VARIANT.NORMAL]]}}}if(t.load){f.RestartAfter(o.Require(this.fontDir+"/TeX/fontdata-"+t.load+".js"))}for(var y=0,w=t.HW.length;y=u-0.01||(y==w-1&&!t.stretch)){if(t.HW[y][3]){s=t.HW[y][3]}B=this.createChar(x,[s,t.HW[y][1]],(t.HW[y][2]||1),v);B.offset=0.6*B.w;if(A){B.scale=A.scale;A.rscale=A.rscale}return B}}if(!t.stretch){return B}return this["extendDelimiter"+t.dir](x,z,t.stretch,A,v)},extendDelimiterV:function(E,x,P,w,C){E=a.addElement(E,"mjx-delim-v");var N=a.Element("span");var B,A,O,v,I,t,F,y,G=1,M;I=this.createChar(N,(P.top||P.ext),1,C);B=N.removeChild(N.firstChild);t=this.createChar(N,(P.bot||P.ext),1,C);A=N.removeChild(N.firstChild);F=y=a.BBOX.zero();var J=I.h+I.d+t.h+t.d-l;E.appendChild(B);if(P.mid){F=this.createChar(N,P.mid,1,C);O=N.removeChild(N.firstChild);J+=F.h+F.d;G=2}if(P.min&&xJ){y=this.createChar(N,P.ext,1,C);v=N.removeChild(N.firstChild);var L=y.h+y.d,u=L-l;var D=Math.min(Math.ceil((x-J)/(G*u)),this.maxStretchyParts);if(P.fullExtenders){x=D*G*u+J}else{u=(x-J)/(G*D)}M=y.d+y.a-L/2;v.style.margin=v.style.padding="";v.style.lineHeight=a.Em(u);v.style.marginBottom=a.Em(M-l/2/G);v.style.marginTop=a.Em(-M-l/2/G);var K=v.textContent,z="\n"+K;while(--D>0){K+=z}v.textContent=K;E.appendChild(v);if(P.mid){E.appendChild(O);E.appendChild(v.cloneNode(true))}}else{M=(x-J-l)/G;B.style.marginBottom=a.Em(M+parseFloat(B.style.marginBottom||"0"));if(P.mid){E.appendChild(O)}A.style.marginTop=a.Em(M+parseFloat(A.style.marginTop||"0"))}E.appendChild(A);var s=a.BBOX({w:Math.max(I.w,y.w,t.w,F.w),l:Math.min(I.l,y.l,t.l,F.l),r:Math.max(I.r,y.r,t.r,F.r),h:x-t.d,d:t.d,t:x-t.d,b:t.d});s.offset=0.5*s.w;if(w){s.scale=w.scale;s.rscale=w.rscale}return s},extendDelimiterH:function(F,s,P,v,D){F=a.addElement(F,"mjx-delim-h");var N=a.Element("span");var t,M,O,u,K,C,x,G,z,H=1;C=this.createChar(N,(P.left||P.rep),1,D);t=N.removeChild(N.firstChild);x=this.createChar(N,(P.right||P.rep),1,D);M=N.removeChild(N.firstChild);z=this.createChar(N,P.rep,1,D);u=N.removeChild(N.firstChild);t.style.marginLeft=a.Em(-C.l);M.style.marginRight=a.Em(x.r-x.w);F.appendChild(t);var Q=a.BBOX.zero();Q.h=Math.max(C.h,x.h,z.h);Q.d=Math.max(C.D||C.d,x.D||x.d,z.D||z.d);var y=(C.r-C.l)+(x.r-x.l)-l;if(P.mid){G=this.createChar(N,P.mid,1,D);O=N.removeChild(N.firstChild);O.style.marginleft=a.Em(-G.l);O.style.marginRight=a.Em(G.r-G.w);y+=G.r-G.l+l;H=2;if(G.h>Q.h){Q.h=G.h}if(G.d>Q.d){Q.d=G.d}}if(P.min&&sy){var B=z.r-z.l,J=B-l;var E=Math.min(Math.ceil((s-y)/(H*J)),this.maxStretchyParts);if(P.fullExtenders){s=E*H*J+y}else{J=(s-y)/(H*E)}var L=(B-J+l/H)/2;u.style.marginLeft=a.Em(-z.l-L);u.style.marginRight=a.Em(z.r-z.w+L);u.style.letterSpacing=a.Em(-(z.w-J));t.style.marginRight=a.Em(C.r-C.w);M.style.marginleft=a.Em(-x.l);var I=u.textContent,A=I;while(--E>0){I+=A}u.textContent=I;F.appendChild(u);if(P.mid){F.appendChild(O);K=F.appendChild(u.cloneNode(true))}}else{L=(s-y-l/H)/2;t.style.marginRight=a.Em(C.r-C.w+L);if(P.mid){F.appendChild(O)}M.style.marginLeft=a.Em(-x.l+L)}F.appendChild(M);this.adjustHeights([t,u,O,K,M],[C,z,G,z,x],Q);if(v){Q.scale=v.scale;Q.rscale=v.rscale}return Q},adjustHeights:function(t,w,x){var u=x.h,y=x.d;if(x.d<0){y=-x.d;x.D=x.d;x.d=0}for(var v=0,s=t.length;v0){delete this.D}},rescale:function(s){this.w*=s;this.h*=s;this.d*=s;this.l*=s;this.r*=s;this.t*=s;this.b*=s;if(this.L){this.L*=s}if(this.R){this.R*=s}if(this.D){this.D*=s}},combine:function(t,s,v){t.X=s;t.Y=v;var u=t.rscale;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.lthis.w){this.w=s+u*(t.w+(t.L||0)+(t.R||0))}if(v+u*t.h>this.h){this.h=v+u*t.h}if(t.D&&(this.D==null||u*t.D-v>this.D)&&u*t.D>this.d){this.D=u*t.D-v}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d-v>this.d){this.d=u*t.d-v}if(v+u*t.t>this.t){this.t=v+u*t.t}if(u*t.b-v>this.b){this.b=u*t.b-v}},append:function(t){var u=t.rscale;var s=this.w;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.lthis.h){this.h=u*t.h}if(t.D&&(this.D==null||u*t.D>this.D)&&u*t.D>this.d){this.D=u*t.D}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d>this.d){this.d=u*t.d}if(u*t.t>this.t){this.t=u*t.t}if(u*t.b>this.b){this.b=u*t.b}},updateFrom:function(s){this.h=s.h;this.d=s.d;this.w=s.w;this.r=s.r;this.l=s.l;this.t=s.t;this.b=s.b;if(s.pwidth){this.pwidth=s.pwidth}if(s.D){this.D=s.D}else{delete this.D}},adjust:function(t,s,v,u){this[s]+=a.length2em(t,1,this.scale);if(u==null){if(this[s]>this[v]){this[v]=this[s]}}else{if(this[v]z.r){z.r=z.w}if(t.h>z.h){z.h=t.h}if(t.d>z.d){z.d=t.d}if(t.t>z.t){z.t=t.t}if(t.b>z.b){z.b=t.b}}}},CHTMLstretchChildH:function(v,s,x){var y=this.data[v];if(y){var z=this.CHTML,u=y.CHTML;if(u.stretch||(u.stretch==null&&y.CHTMLcanStretch("Horizontal",s))){var t=u.w;u=y.CHTMLstretchH(this.CHTMLchildNode(x,v),s);z.w+=u.w-t;if(z.w>z.r){z.r=z.w}if(u.h>z.h){z.h=u.h}if(u.d>z.d){z.d=u.d}if(u.t>z.t){z.t=u.t}if(u.b>z.b){z.b=u.b}}}},CHTMLupdateFrom:function(s){this.CHTML.updateFrom(s);if(this.inferRow){this.data[0].CHTML.updateFrom(s)}},CHTMLcanStretch:function(w,u,v){var t=false;if(this.isEmbellished()){var s=this.Core();if(s&&s!==this){t=s.CHTMLcanStretch(w,u,v)}}this.CHTML.stretch=t;return t},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));return this.CHTML},CHTMLstretchCoreH:function(t,s){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(t),s)},CHTMLcreateNode:function(s){if(!this.CHTML){this.CHTML={}}this.CHTML=a.BBOX.zero();if(this.href){s=a.addElement(s,"a",{href:this.href,isMathJax:true})}if(!this.CHTMLnodeID){this.CHTMLnodeID=a.GetID()}var t=(this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix;return this.CHTMLhandleAttributes(a.addElement(s,"mjx-"+this.type,{id:t}))},CHTMLnodeElement:function(){if(!this.CHTMLnodeID){return null}return document.getElementById((this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix)},CHTMLlength2em:function(t,s){return a.length2em(t,s,this.CHTML.scale)},CHTMLhandleAttributes:function(v){if(this["class"]){if(v.className){v.className+=" "+this["class"]}else{v.className=this["class"]}}if(this.attrNames){var z=this.attrNames,u=d.nocopyAttributes,y=f.config.ignoreMMLattributes;var w=(this.type==="mstyle"?d.math.prototype.defaults:this.defaults);for(var t=0,s=z.length;t2){s.scriptlevel=2}x=Math.pow(this.Get("scriptsizemultiplier"),s.scriptlevel);s.scriptminsize=a.length2em(this.Get("scriptminsize"),0.8,1);if(x600?"bold":"normal")}var t=s.mathvariant;if(this.variantForm){t="-TeX-variant"}if(s.family&&!s.hasVariant){if(!s.weight&&s.mathvariant.match(/bold/)){s.weight="bold"}if(!s.style&&s.mathvariant.match(/italic/)){s.style="italic"}this.CHTMLvariant={fonts:[],noRemap:true,cache:{},style:{"font-family":s.family,"font-weight":s.weight||"normal","font-style":s.style||"normal"}};return}if(s.weight==="bold"){t={normal:d.VARIANT.BOLD,italic:d.VARIANT.BOLDITALIC,fraktur:d.VARIANT.BOLDFRAKTUR,script:d.VARIANT.BOLDSCRIPT,"sans-serif":d.VARIANT.BOLDSANSSERIF,"sans-serif-italic":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.weight==="normal"){t={bold:d.VARIANT.normal,"bold-italic":d.VARIANT.ITALIC,"bold-fraktur":d.VARIANT.FRAKTUR,"bold-script":d.VARIANT.SCRIPT,"bold-sans-serif":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.SANSSERIFITALIC}[t]||t}}if(s.style==="italic"){t={normal:d.VARIANT.ITALIC,bold:d.VARIANT.BOLDITALIC,"sans-serif":d.VARIANT.SANSSERIFITALIC,"bold-sans-serif":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.style==="normal"){t={italic:d.VARIANT.NORMAL,"bold-italic":d.VARIANT.BOLD,"sans-serif-italic":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.BOLDSANSSERIF}[t]||t}}this.CHTMLvariant=a.FONTDATA.VARIANT[t]||a.FONTDATA.VARIANT[d.VARIANT.NORMAL]},CHTMLbboxFor:function(s){if(this.data[s]&&this.data[s].CHTML){return this.data[s].CHTML}return a.BBOX.zero()},CHTMLdrawBBox:function(t,u){if(!u){u=this.CHTML}var s=a.Element("mjx-box",{style:{opacity:0.25,"margin-left":a.Em(-(u.w+(u.R||0)))}},[["mjx-box",{style:{height:a.Em(u.h),width:a.Em(u.w),"background-color":"red"}}],["mjx-box",{style:{height:a.Em(u.d),width:a.Em(u.w),"margin-left":a.Em(-u.w),"vertical-align":a.Em(-u.d),"background-color":"green"}}]]);if(t.nextSibling){t.parentNode.insertBefore(s,t.nextSibling)}else{t.parentNode.appendChild(s)}},CHTMLnotEmpty:function(s){while(s&&s.data.length<2&&(s.type==="mrow"||s.type==="texatom")){s=s.data[0]}return !!s}},{CHTMLautoload:function(){this.constructor.Augment({toCommonHTML:d.mbase.CHTMLautoloadFail});var s=a.autoloadDir+"/"+this.type+".js";f.RestartAfter(o.Require(s))},CHTMLautoloadFail:function(){throw Error("CommonHTML can't autoload '"+this.type+"'")},CHTMLautoloadList:{},CHTMLautoloadFile:function(s){if(d.mbase.CHTMLautoloadList.hasOwnProperty(s)){throw Error("CommonHTML can't autoload file '"+s+"'")}d.mbase.CHTMLautoloadList[s]=true;var t=a.autoloadDir+"/"+s+".js";f.RestartAfter(o.Require(t))},CHTMLstretchV:function(s,t){this.Core().CHTMLstretchV(s,t);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.chars.Augment({toCommonHTML:function(t,s){this.CHTML=null;if(s==null){s={}}var u=this.toString();if(s.remap){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.entity.Augment({toCommonHTML:function(t,s){if(s==null){s={}}var u=this.toString();if(s.remapchars){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.math.Augment({toCommonHTML:function(x){x=this.CHTMLdefaultNode(x);if(this.CHTML.w<0){x.parentNode.style.width="0px";x.parentNode.style.marginRight=a.Em(this.CHTML.w)}var v=this.Get("alttext");if(v&&!x.getAttribute("aria-label")){x.setAttribute("aria-label",v)}if(this.CHTML.pwidth){x.parentNode.style.minWidth=this.CHTML.mwidth||a.Em(this.CHTML.w);x.parentNode.className="mjx-full-width "+x.parentNode.className;x.style.width=this.CHTML.pwidth}else{if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==d.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===d.INDENTALIGN.AUTO){u.indentalign=r.displayAlign}if(u.indentshiftfirst!==d.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift="0"}var t=this.CHTMLlength2em(u.indentshift,a.cwidth);if(r.displayIndent!=="0"){var s=this.CHTMLlength2em(r.displayIndent,a.cwidth);t+=(u.indentalign===d.INDENTALIGN.RIGHT?-s:s)}var w=x.parentNode.parentNode.style;x.parentNode.style.textAlign=w.textAlign=u.indentalign;if(t){t*=a.em/a.outerEm;f.Insert(w,({left:{marginLeft:a.Em(t)},right:{marginRight:a.Em(-t)},center:{marginLeft:a.Em(t),marginRight:a.Em(-t)}})[u.indentalign])}}}return x}});d.mi.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mn.Augment({CHTMLremapMinus:function(s){return s.replace(/^-/,"\u2212")},toCommonHTML:function(s){s=this.CHTMLdefaultNode(s,{childOptions:{remap:this.CHTMLremapMinus}});var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mo.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLgetVariant();this.CHTMLhandleScale(v);a.BBOX.empty(this.CHTML);var t=this.getValues("displaystyle","largeop");t.variant=this.CHTMLvariant;t.text=this.data.join("");if(t.text==""){if(this.fence){v.style.width=a.Em(a.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(t);this.CHTMLadjustVariant(t);for(var u=0,s=this.data.length;u0){if(!this.hasValue("lspace")){t.lspace=0.15}if(!this.hasValue("rspace")){t.rspace=0.15}}var s=this,u=this.Parent();while(u&&u.isEmbellished()&&u.Core()===s){s=u;u=u.Parent();v=s.CHTMLnodeElement()}if(t.lspace){v.style.paddingLeft=a.Em(t.lspace)}if(t.rspace){v.style.paddingRight=a.Em(t.rspace)}this.CHTML.L=t.lspace;this.CHTML.R=t.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(u){var t=this.CoreParent();u.parent=t;if(a.isChar(u.text)&&t&&t.isa(d.munderover)){var v=t.data[t.over],s=t.data[t.under];if(v&&this===v.CoreMO()&&t.Get("accent")){u.remapchars=a.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&t.Get("accentunder")){u.remapchars=a.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(t){var s=t.parent,u=(s&&s.isa(d.msubsup)&&this!==s.data[s.base]);if(t.largeop){t.mathvariant=(t.displaystyle?"-largeOp":"-smallOp")}if(u){t.remapchars=this.remapChars;if(t.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){t.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(s){s=s.firstChild;var t=a.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});s.insertBefore(t,s.firstChild)},CHTMLcenterOp:function(s){var u=this.CHTML;var t=(u.h-u.d)/2-a.TEX.axis_height;if(Math.abs(t)>0.001){s.style.verticalAlign=a.Em(-t)}u.h-=t;u.d+=t;if(u.r>u.w){u.ic=u.r-u.w;u.w=u.r;s.style.paddingRight=a.Em(u.ic)}},CHTMLcanStretch:function(w,u,v){if(!this.Get("stretchy")){return false}var x=this.data.join("");if(!a.isChar(x)){return false}var t={text:x};this.CHTMLadjustAccent(t);if(t.remapchars){x=t.remapchars[x]||x}x=a.FONTDATA.DELIMITERS[x.charCodeAt(0)];var s=(x&&x.dir===w.substr(0,1));if(s){s=(this.CHTML.h!==u||this.CHTML.d!==v||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(s){this.CHTML.stretch=true}}return s},CHTMLstretchV:function(v,y){var w=this.CHTMLnodeElement(),x=this.CHTML;var t=this.getValues("symmetric","maxsize","minsize");var u,s=a.TEX.axis_height;if(t.symmetric){u=2*Math.max(v-s,y+s)}else{u=v+y}t.maxsize=this.CHTMLlength2em(t.maxsize,x.h+x.d);t.minsize=this.CHTMLlength2em(t.minsize,x.h+x.d);u=Math.max(t.minsize,Math.min(t.maxsize,u));if(u!==x.sH){if(u!=t.minsize){u=[Math.max(u*a.TEX.delimiterfactor/1000,u-a.TEX.delimitershortfall),u]}while(w.firstChild){w.removeChild(w.firstChild)}this.CHTML=x=a.createDelimiter(w,this.data.join("").charCodeAt(0),u,x);x.sH=(u instanceof Array?u[1]:u);if(t.symmetric){u=(x.h+x.d)/2+s}else{u=(x.h+x.d)*v/(v+y)}u-=x.h;if(Math.abs(u)>0.05){w.style.verticalAlign=a.Em(u);x.h+=u;x.d-=u;x.t+=u;x.b-=u}}return this.CHTML},CHTMLstretchH:function(u,s){var v=this.CHTML;var t=this.getValues("maxsize","minsize","mathvariant","fontweight");if((t.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(t.fontweight)>=600)&&!this.Get("mathvariant",true)){t.mathvariant=d.VARIANT.BOLD}t.maxsize=this.CHTMLlength2em(t.maxsize,v.w);t.minsize=this.CHTMLlength2em(t.minsize,v.w);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!==v.sW){while(u.firstChild){u.removeChild(u.firstChild)}this.CHTML=v=a.createDelimiter(u,this.data.join("").charCodeAt(0),s,v,t.mathvariant);v.sW=s}return this.CHTML}});d.mtext.Augment({CHTMLgetVariant:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){var u=(a.config.scale/100)/a.scale;var t={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:u,style:{"font-size":a.Percent(u)}};var s=this.Get("mathvariant");if(s.match(/bold/)){t.style["font-weight"]="bold"}if(s.match(/italic|-tex-mathit/)){t.style["font-style"]="italic"}if(s==="monospace"){t.className+=" MJXc-monospace-font"}if(s==="double-struck"){t.className+=" MJXc-double-struck-font"}if(s.match(/fraktur/)){t.className+=" MJXc-fraktur-font"}if(s.match(/sans-serif/)){t.className+=" MJXc-sans-serif-font"}if(s.match(/script/)){t.className+=" MJXc-script-font"}this.CHTMLvariant=t}else{this.SUPER(arguments).CHTMLgetVariant.call(this)}}});d.merror.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var t=this.CHTML;t.rescale(0.9);t.h+=3/a.em;if(t.h>t.t){t.t=t.h}t.d+=3/a.em;if(t.d>t.b){t.b=t.d}t.w+=8/a.em;t.r=t.w;t.l=0;return s}});d.mspace.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);var t=this.getValues("height","depth","width");var s=this.CHTMLlength2em(t.width),u=this.CHTMLlength2em(t.height),y=this.CHTMLlength2em(t.depth);var x=this.CHTML;x.w=x.r=s;x.h=x.t=u;x.d=x.b=y;x.l=0;if(s<0){v.style.marginRight=a.Em(s);s=0}v.style.width=a.Em(s);v.style.height=a.Em(Math.max(0,u+y));if(y){v.style.verticalAlign=a.Em(-y)}this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mpadded.Augment({toCommonHTML:function(t,F){var s;if(F&&F.stretch){t=t.firstChild;s=t.firstChild}else{t=this.CHTMLdefaultNode(t,{childNodes:"mjx-box",forceChild:true});s=t.firstChild;t=a.addElement(t,"mjx-block");t.appendChild(s);a.addElement(t,"mjx-strut")}var z=this.CHTMLbboxFor(0);var D=this.getValues("width","height","depth","lspace","voffset");var B=0,A=0,C=z.w,u=z.h,v=z.d;s.style.width=0;s.style.margin=a.Em(-u)+" 0 "+a.Em(-v);if(D.width!==""){C=this.CHTMLdimen(D.width,"w",C,0)}if(D.height!==""){u=this.CHTMLdimen(D.height,"h",u,0)}if(D.depth!==""){v=this.CHTMLdimen(D.depth,"d",v,0)}if(D.voffset!==""){A=this.CHTMLdimen(D.voffset);if(A){s.style.position="relative";s.style.top=a.Em(-A)}}if(D.lspace!==""){B=this.CHTMLdimen(D.lspace);if(B){s.style.position="relative";s.style.left=a.Em(B)}}t.style.width=0;t.style.marginTop=a.Em(u-k);t.style.padding="0 "+a.Em(C)+" "+a.Em(v)+" 0";var E=a.BBOX({w:C,h:u,d:v,l:0,r:C,t:u,b:v,scale:this.CHTML.scale,rscale:this.CHTML.rscale});E.combine(z,B,A);E.w=C;E.h=u;E.d=v;this.CHTML=E;return t.parentNode},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLdimen:function(w,y,x,s){if(s==null){s=-i}w=String(w);var t=w.match(/width|height|depth/);var u=(t?this.CHTML[t[0].charAt(0)]:(y?this.CHTML[y]:0));var v=(this.CHTMLlength2em(w,u)||0);if(w.match(/^[-+]/)&&x!=null){v+=x}if(s!=null){v=Math.max(s,v)}return v}});d.munderover.Augment({toCommonHTML:function(w,G){var E=this.getValues("displaystyle","accent","accentunder","align");var u=this.data[this.base];if(!E.displaystyle&&u!=null&&(u.movablelimits||u.CoreMO().Get("movablelimits"))){return d.msubsup.prototype.toCommonHTML.call(this,w,t)}var B,z,s=[],t=false;if(G&&G.stretch){if(this.data[this.base]){u=a.getNode(w,"mjx-op")}if(this.data[this.under]){B=a.getNode(w,"mjx-under")}if(this.data[this.over]){z=a.getNode(w,"mjx-over")}s[0]=u;s[1]=B||z;s[2]=z;t=true}else{var y=["mjx-op","mjx-under","mjx-over"];if(this.over===1){y[1]=y[2]}w=this.CHTMLdefaultNode(w,{childNodes:y,noBBox:true,forceChild:true,minChildren:2});s[0]=u=w.removeChild(w.firstChild);s[1]=B=z=w.removeChild(w.firstChild);if(w.firstChild){s[2]=z=w.removeChild(w.firstChild)}}var x=[],v=this.CHTMLgetBBoxes(x,s,E);var F=x[this.base],C=this.CHTML;C.w=v;C.h=F.h;C.d=F.d;if(F.h<0.35){u.style.marginTop=a.Em(F.h-0.35)}if(E.accent&&F.hu){u=s}}if(u===-i){u=s}for(y=0;yD.w){D.skew+=(D.w-(A.x+u*A.w))/2}}}else{y=a.TEX.big_op_spacing1;x=a.TEX.big_op_spacing3;v=Math.max(y,x-Math.max(0,u*A.d))}A.x+=E/2;A.y=D.h+v+w+u*A.d;if(v){B.style.paddingBottom=a.Em(v/u)}if(w){B.style.paddingTop=a.Em(w/u)}return C},CHTMLaddUnderscript:function(B,z,E,D,t,A,s){var C=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var F=z[this.under],u=F.rscale;if(!s){a.addElement(t,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);t.firstChild.firstChild.firstChild.appendChild(A);t.firstChild.lastChild.appendChild(B)}if(F.D){F.d=F.D}if(F.d<0){B.firstChild.style.verticalAlign="top";t.firstChild.style.marginBottom=a.Em(F.d)}if(E.accentunder){v=2*a.TEX.rule_thickness;w=0}else{y=a.TEX.big_op_spacing2;x=a.TEX.big_op_spacing4;v=Math.max(y,x-u*F.h)}F.x=-D/2;F.y=-(C.d+v+w+u*F.h);if(v){B.style.paddingTop=a.Em(v/u)}if(w){B.style.paddingBottom=a.Em(w/u)}},CHTMLplaceBoxes:function(s,B,A,E,z){var t=this.CHTML.w,y,v=z.length,x;var D=a.BBOX.zero();D.scale=this.CHTML.scale;D.rscale=this.CHTML.rscale;z[this.base].x=z[this.base].y=0;var F=i;for(y=0;y0){L+=Q;J-=Q}}L=Math.max(L,A.superscriptshift);J=Math.max(J,A.subscriptshift);H.style.paddingRight=a.Em(N/B);z.style.paddingBottom=a.Em(L/w+J/B-W.d-P.h/B*w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);E.style.verticalAlign=a.Em(-J);G.combine(W,I+Y,L);G.combine(P,I,-J)}}G.clean();return S},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-base","mjx-sub","mjx-sup"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.mfrac.Augment({toCommonHTML:function(N){N=this.CHTMLdefaultNode(N,{childNodes:["mjx-numerator","mjx-denominator"],childOptions:{autowidth:true},forceChild:true,noBBox:true,minChildren:2});var x=this.getValues("linethickness","displaystyle","numalign","denomalign","bevelled");var O=x.displaystyle;var D=N.firstChild,w=N.lastChild;var y=a.addElement(N,"mjx-box");y.appendChild(D);y.appendChild(w);N.appendChild(y);if(x.numalign!=="center"){D.style.textAlign=x.numalign}if(x.denomalign!=="center"){w.style.textAlign=x.denomalign}var P=this.CHTMLbboxFor(0),B=this.CHTMLbboxFor(1),C=a.BBOX.empty(this.CHTML),F=P.rscale,z=B.rscale;x.linethickness=Math.max(0,a.thickness2em(x.linethickness||"0",C.scale));var M=a.TEX.min_rule_thickness/a.em,T=a.TEX.axis_height;var J=x.linethickness,L,K,I,G;if(x.bevelled){y.className+=" MJXc-bevelled";var S=(O?0.4:0.15);var E=Math.max(F*(P.h+P.d),z*(B.h+B.d))+2*S;var R=a.Element("mjx-bevel");y.insertBefore(R,w);var s=a.createDelimiter(R,47,E);I=F*(P.d-P.h)/2+T+S;G=z*(B.d-B.h)/2+T-S;if(I){D.style.verticalAlign=a.Em(I/F)}if(G){w.style.verticalAlign=a.Em(G/z)}R.style.marginLeft=R.style.marginRight=a.Em(-S/2);C.combine(P,0,I);C.combine(s,F*P.w-S/2,0);C.combine(B,F*P.w+s.w-S,G);C.clean()}else{y.className+=" MJXc-stacked";if(O){I=a.TEX.num1;G=a.TEX.denom1}else{I=(J===0?a.TEX.num3:a.TEX.num2);G=a.TEX.denom2}if(J===0){L=Math.max((O?7:3)*a.TEX.rule_thickness,2*M);K=(I-P.d*F)-(B.h*z-G);if(KD){s=((A.h+A.d)-(D-G))/2}D=F.h+s+G;var B=this.CHTMLaddRoot(w,A,A.h+A.d-D);v.style.paddingTop=a.Em(s);v.style.borderTop=a.Px(y*F.scale,1)+" solid";E.style.paddingTop=a.Em(2*G-y);F.h+=s+2*G;C.combine(A,B,D-A.h);C.combine(F,B+A.w,0);C.clean();return w},CHTMLaddRoot:function(){return 0},CHTMLhandleBBox:function(s){var t=this.CHTMLbboxFor(0);delete t.pwidth;this.SUPER(arguments).CHTMLhandleBBox.apply(this,arguments)}});d.mroot.Augment({toCommonHTML:d.msqrt.prototype.toCommonHTML,CHTMLhandleBBox:d.msqrt.prototype.CHTMLhandleBBox,CHTMLaddRoot:function(A,u,v){if(!this.data[1]){return}var z=this.CHTML,B=this.data[1].CHTML,x=A.firstChild;var s=B.rscale;var t=this.CHTMLrootHeight(B,u,s)-v;var y=Math.min(B.w,B.r);var C=Math.max(y,u.offset/s);if(t){x.style.verticalAlign=a.Em(t/s)}if(C>y){x.firstChild.style.paddingLeft=a.Em(C-y)}C-=u.offset/s;x.style.width=a.Em(C);z.combine(B,0,t);return C*s},CHTMLrootHeight:function(u,s,t){return 0.45*(s.h+s.d-0.9)+s.offset+Math.max(0,u.d-0.075)}});d.mfenced.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);this.CHTMLaddChild(v,"open",{});for(var u=0,s=this.data.length;ua.linebreakWidth)||this.hasNewline()},CHTMLstretchV:function(s,t){this.CHTMLstretchChildV(this.CoreIndex(),s,t);return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLstretchChildH(this.CoreIndex(),s,t);return this.CHTML}});d.TeXAtom.Augment({toCommonHTML:function(x,w){if(!w||!w.stretch){x=this.CHTMLdefaultNode(x)}if(this.texClass===d.TEXCLASS.VCENTER){var s=a.TEX.axis_height,u=this.CHTML;var t=s-(u.h+u.d)/2+u.d;if(Math.abs(t)>0.001){x.style.verticalAlign=a.Em(t);u.h+=t;u.t+=t;u.d-=t;u.b-=t}}return x},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.semantics.Augment({toCommonHTML:function(s){s=this.CHTMLcreateNode(s);if(this.data[0]){this.data[0].toCommonHTML(s);this.CHTMLupdateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(s)}return s}});d.annotation.Augment({toCommonHTML:function(s){return this.CHTMLcreateNode(s)}});d["annotation-xml"].Augment({toCommonHTML:d.mbase.CHTMLautoload});d.ms.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mglyph.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.menclose.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.maction.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mmultiscripts.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mtable.Augment({toCommonHTML:d.mbase.CHTMLautoload});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(f.config.menuSettings.zoom!=="None"){o.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML); diff --git a/content/blog/2019-07-01-Mainline-Hero.md b/content/blog/2019-07-01-Mainline-Hero.md index 2081784..0116190 100644 --- a/content/blog/2019-07-01-Mainline-Hero.md +++ b/content/blog/2019-07-01-Mainline-Hero.md @@ -1,3 +1,4 @@ + Ever heard of [PostmarketOS](https://postmarketos.org/)? If not, then here's a short summary: diff --git a/layout/item.html b/layout/item.html index 77cbd03..cbf1001 100644 --- a/layout/item.html +++ b/layout/item.html @@ -1,11 +1,13 @@ -
-

{{ title }}

+
+
+

{{ title }}

-

> {{ date }}

+

> {{ date }}

-

-

- {{ summary }}... +

+

+ {{ summary }}... +
+

-

diff --git a/layout/list.html b/layout/list.html index cfb50ff..365d604 100644 --- a/layout/list.html +++ b/layout/list.html @@ -1,3 +1,5 @@ -
- {{ content }} +
+
+ {{ content }} +
diff --git a/layout/page.html b/layout/page.html index bfc099a..9041b38 100644 --- a/layout/page.html +++ b/layout/page.html @@ -13,6 +13,7 @@ + {{ mathjax_include }}

papatutuwawa@home:~$

@@ -25,9 +26,7 @@
-
{{ content }} -
@@ -36,7 +35,8 @@ diff --git a/layout/post.html b/layout/post.html index 30c0c55..f75b8d5 100644 --- a/layout/post.html +++ b/layout/post.html @@ -3,6 +3,10 @@

{{ title }}

+

// Posted {{ date }}

+ + {{ mathjax_warning }} + {{ content }}
diff --git a/mathjax.json b/mathjax.json new file mode 100644 index 0000000..c326d9f --- /dev/null +++ b/mathjax.json @@ -0,0 +1,4 @@ +{ + "mathjax_include": "\n", + "mathjax_warning": "
NOTE: This post uses the JavaScript library MathJax to render math equations
" +} diff --git a/params.json b/params.json index 7f06f17..2dca504 100644 --- a/params.json +++ b/params.json @@ -7,5 +7,7 @@ "mastodon_url": "https://fosstodon.org/@polynomdivision", "email_gpg_url": "https://pki.polynom.me/pubkeys/papatutuwawa.pub", "email_user": "papatutuwawa", - "email_domain": "polynom.me" + "email_domain": "polynom.me", + "mathjax_include": "", + "mathjax_warning": "" }