S2OJ/web/js/mathjax3/input/asciimath.js

!function(){var t={306:function(t,e){"use strict";e.q=void 0,e.q="3.2.2"},884:function(t,e,i){"use strict";var n,a=this&&this.__extends||(n=function(t,e){return n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var i in e)Object.prototype.hasOwnProperty.call(e,i)&&(t[i]=e[i])},n(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function i(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(i.prototype=e.prototype,new i)}),s=this&&this.__assign||function(){return s=Object.assign||function(t){for(var e,i=1,n=arguments.length;i<n;i++)for(var a in e=arguments[i])Object.prototype.hasOwnProperty.call(e,a)&&(t[a]=e[a]);return t},s.apply(this,arguments)},r=this&&this.__read||function(t,e){var i="function"==typeof Symbol&&t[Symbol.iterator];if(!i)return t;var n,a,s=i.call(t),r=[];try{for(;(void 0===e||e-- >0)&&!(n=s.next()).done;)r.push(n.value)}catch(t){a={error:t}}finally{try{n&&!n.done&&(i=s.return)&&i.call(s)}finally{if(a)throw a.error}}return r};Object.defineProperty(e,"__esModule",{value:!0}),e.AsciiMath=void 0;var o=i(309),l=i(406),u=i(77),h=i(577),p=function(t){function e(i){var n=this,a=r((0,u.separateOptions)(i,h.FindAsciiMath.OPTIONS,e.OPTIONS),3),s=a[1],o=a[2];return(n=t.call(this,o)||this).findAsciiMath=n.options.FindAsciiMath||new h.FindAsciiMath(s),n}return a(e,t),e.prototype.compile=function(t,e){return l.LegacyAsciiMath.Compile(t.math,t.display)},e.prototype.findMath=function(t){return this.findAsciiMath.findMath(t)},e.NAME="AsciiMath",e.OPTIONS=s(s({},o.AbstractInputJax.OPTIONS),{FindAsciiMath:null}),e}(o.AbstractInputJax);e.AsciiMath=p},577:function(t,e,i){"use strict";var n,a=this&&this.__extends||(n=function(t,e){return n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var i in e)Object.prototype.hasOwnProperty.call(e,i)&&(t[i]=e[i])},n(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function i(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(i.prototype=e.prototype,new i)}),s=this&&this.__read||function(t,e){var i="function"==typeof Symbol&&t[Symbol.iterator];if(!i)return t;var n,a,s=i.call(t),r=[];try{for(;(void 0===e||e-- >0)&&!(n=s.next()).done;)r.push(n.value)}catch(t){a={error:t}}finally{try{n&&!n.done&&(i=s.return)&&i.call(s)}finally{if(a)throw a.error}}return r};Object.defineProperty(e,"__esModule",{value:!0}),e.FindAsciiMath=void 0;var r=i(649),o=i(720),l=i(769),u=function(t){function e(e){var i=t.call(this,e)||this;return i.getPatterns(),i}return a(e,t),e.prototype.getPatterns=function(){var t=this,e=this.options,i=[];this.end={},e.delimiters.forEach((function(e){return t.addPattern(i,e,!1)})),this.start=new RegExp(i.join("|"),"g"),this.hasPatterns=i.length>0},e.prototype.addPattern=function(t,e,i){var n=s(e,2),a=n[0],r=n[1];t.push((0,o.quotePattern)(a)),this.end[a]=[r,i,new RegExp((0,o.quotePattern)(r),"g")]},e.prototype.findEnd=function(t,e,i,n){var a=s(n,3),r=a[1],o=a[2],u=o.lastIndex=i.index+i[0].length,h=o.exec(t);return h?(0,l.protoItem)(i[0],t.substr(u,h.index-u),h[0],e,i.index,h.index+h[0].length,r):null},e.prototype.findMathInString=function(t,e,i){var n,a;for(this.start.lastIndex=0;n=this.start.exec(i);)(a=this.findEnd(i,e,n,this.end[n[0]]))&&(t.push(a),this.start.lastIndex=a.end.n)},e.prototype.findMath=function(t){var e=[];if(this.hasPatterns)for(var i=0,n=t.length;i<n;i++)this.findMathInString(e,i,t[i]);return e},e.OPTIONS={delimiters:[["`","`"]]},e}(r.AbstractFindMath);e.FindAsciiMath=u},406:function(t,e,i){MathJax=Object.assign(i.g.MathJax||{},i(24).N),MathJax.config&&MathJax.config.asciimath&&MathJax.Hub.Config({AsciiMath:MathJax.config.asciimath}),MathJax.Ajax.Preloading("[MathJax]/jax/input/AsciiMath/config.js","[MathJax]/jax/input/AsciiMath/jax.js","[MathJax]/jax/element/mml/jax.js"),i(404),i(315),i(247),i(477);var n=new(0,i(806).g);e.LegacyAsciiMath={Compile:function(t,e){var i={type:"math/asciimath",innerText:t,MathJax:{}},a=MathJax.InputJax.AsciiMath.Translate(i).root.toMmlNode(n);return a.setInheritedAttributes({},e,0,!1),a},Translate:function(t,e){return this.Compile(t,e)}}},24:function(t,e){var i,n,a,s,r,o,l={debug:!0},u={MathJax:l},h={},p=null;e.N=l,function(t){var e=u.MathJax;e||(e=u.MathJax={});var i=[],n=function(t){var e=t.constructor;for(var i in e||(e=function(){}),t)"constructor"!==i&&t.hasOwnProperty(i)&&(e[i]=t[i]);return e};e.Object=n({constructor:function(){return arguments.callee.Init.call(this,arguments)},Subclass:function(t,e){var n=function(){return arguments.callee.Init.call(this,arguments)};return n.SUPER=this,n.Init=this.Init,n.Subclass=this.Subclass,n.Augment=this.Augment,n.protoFunction=this.protoFunction,n.can=this.can,n.has=this.has,n.isa=this.isa,n.prototype=new this(i),n.prototype.constructor=n,n.Augment(t,e),n},Init:function(t){var e=this;return 1===t.length&&t[0]===i?e:(e instanceof t.callee||(e=new t.callee(i)),e.Init.apply(e,t)||e)},Augment:function(t,e){var i;if(null!=t){for(i in t)t.hasOwnProperty(i)&&this.protoFunction(i,t[i]);t.toString!==this.prototype.toString&&t.toString!=={}.toString&&this.protoFunction("toString",t.toString)}if(null!=e)for(i in e)e.hasOwnProperty(i)&&(this[i]=e[i]);return this},protoFunction:function(t,e){this.prototype[t]=e,"function"==typeof e&&(e.SUPER=this.SUPER.prototype)},prototype:{Init:function(){},SUPER:function(t){return t.callee.SUPER},can:function(t){return"function"==typeof this[t]},has:function(t){return void 0!==this[t]},isa:function(t){return t instanceof Object&&this instanceof t}},can:function(t){return this.prototype.can.call(this,t)},has:function(t){return this.prototype.has.call(this,t)},isa:function(t){for(var e=this;e;){if(e===t)return!0;e=e.SUPER}return!1},SimpleSUPER:n({constructor:function(t){return this.SimpleSUPER.define(t)},define:function(t){var e={};if(null!=t){for(var i in t)t.hasOwnProperty(i)&&(e[i]=this.wrap(i,t[i]));t.toString!==this.prototype.toString&&t.toString!=={}.toString&&(e.toString=this.wrap("toString",t.toString))}return e},wrap:function(t,e){if("function"!=typeof e||!e.toString().match(/\.\s*SUPER\s*\(/))return e;var i=function(){this.SUPER=i.SUPER[t];try{var n=e.apply(this,arguments)}catch(t){throw delete this.SUPER,t}return delete this.SUPER,n};return i.toString=function(){return e.toString.apply(e,arguments)},i}})}),e.Object.isArray=Array.isArray||function(t){return"[object Array]"===Object.prototype.toString.call(t)},e.Object.Array=Array}(),function(t){var e=u.MathJax;e||(e=u.MathJax={});var i=function(t){var e=function(){return arguments.callee.execute.apply(arguments.callee,arguments)};for(var n in i.prototype)i.prototype.hasOwnProperty(n)&&(e[n]=void 0!==t[n]?t[n]:i.prototype[n]);return e.toString=i.prototype.toString,e};i.prototype={isCallback:!0,hook:function(){},data:[],object:u,execute:function(){if(!this.called||this.autoReset)return this.called=!this.autoReset,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 n=function(t){return"function"==typeof t&&t.isCallback},a=function(t){return eval.call(u,t)},s=function(){if(a("var __TeSt_VaR__ = 1"),u.__TeSt_VaR__)try{delete u.__TeSt_VaR__}catch(t){u.__TeSt_VaR__=null}else a=u.execScript?function(t){e.__code=t,t="try {MathJax.__result = eval(MathJax.__code)} catch(err) {MathJax.__result = err}",u.execScript(t);var i=e.__result;if(delete e.__result,delete e.__code,i instanceof Error)throw i;return i}:function(t){e.__code=t,t="try {MathJax.__result = eval(MathJax.__code)} catch(err) {MathJax.__result = err}";var i=p.getElementsByTagName("head")[0];i||(i=p.body);var n=p.createElement("script");n.appendChild(p.createTextNode(t)),i.appendChild(n),i.removeChild(n);var a=e.__result;if(delete e.__result,delete e.__code,a instanceof Error)throw a;return a};s=null},r=function(t,e){if(arguments.length>1&&(t=2===arguments.length&&"function"!=typeof arguments[0]&&arguments[0]instanceof Object&&"number"==typeof arguments[1]?[].slice.call(t,e):[].slice.call(arguments,0)),t instanceof Array&&1===t.length&&(t=t[0]),"function"==typeof t)return t.execute===i.prototype.execute?t:i({hook:t});if(t instanceof Array){if("string"==typeof t[0]&&t[1]instanceof Object&&"function"==typeof t[1][t[0]])return i({hook:t[1][t[0]],object:t[1],data:t.slice(2)});if("function"==typeof t[0])return i({hook:t[0],data:t.slice(1)});if("function"==typeof t[1])return i({hook:t[1],object:t[0],data:t.slice(2)})}else{if("string"==typeof t)return s&&s(),i({hook:a,data:[t]});if(t instanceof Object)return i(t);if(void 0===t)return i({})}throw Error("Can't make callback from given data")},o=function(t,e){(t=r(t)).called||(c(t,e),e.pending++)},h=function(){var t=this.signal;delete this.signal,this.execute=this.oldExecute,delete this.oldExecute;var e=this.execute.apply(this,arguments);if(n(e)&&!e.called)c(e,t);else for(var i=0,a=t.length;i<a;i++)t[i].pending--,t[i].pending<=0&&t[i].call()},c=function(t,e){e instanceof Array||(e=[e]),t.signal?1===e.length?t.signal.push(e[0]):t.signal=t.signal.concat(e):(t.oldExecute=t.execute,t.execute=h,t.signal=e)},d=function(t){(t=r(t)).pending=0;for(var e=1,i=arguments.length;e<i;e++)arguments[e]&&o(arguments[e],t);if(0===t.pending){var a=t();n(a)&&(t=a)}return t},m=l.Object.Subclass({Init:function(t){this.hooks=[],this.remove=[],this.reset=t,this.running=!1},Add:function(t,e){null==e&&(e=10),n(t)||(t=r(t)),t.priority=e;for(var i=this.hooks.length;i>0&&e<this.hooks[i-1].priority;)i--;return this.hooks.splice(i,0,t),t},Remove:function(t){for(var e=0,i=this.hooks.length;e<i;e++)if(this.hooks[e]===t)return void(this.running?this.remove.push(e):this.hooks.splice(e,1))},Execute:function(){var t=[{}];this.running=!0;for(var e=0,i=this.hooks.length;e<i;e++){this.reset&&this.hooks[e].reset();var a=this.hooks[e].apply(u,arguments);n(a)&&!a.called&&t.push(a)}return this.running=!1,this.remove.length&&this.RemovePending(),1===t.length?null:2===t.length?t[1]:d.apply({},t)},RemovePending:function(){this.remove=this.remove.sort();for(var t=this.remove.length-1;t>=0;t--)this.hooks.splice(t,1);this.remove=[]}}),f=e.Object.Subclass({Init:function(){this.pending=this.running=0,this.queue=[],this.Push.apply(this,arguments)},Push:function(){for(var t,e=0,i=arguments.length;e<i;e++)(t=r(arguments[e]))!==arguments[e]||t.called||(t=r(["wait",this,t])),this.queue.push(t);return this.running||this.pending||this.Process(),t},Process:function(t){for(;!this.running&&!this.pending&&this.queue.length;){var e=this.queue[0];t=this.queue.slice(1),this.queue=[],this.Suspend();var i=e();this.Resume(),t.length&&(this.queue=t.concat(this.queue)),n(i)&&!i.called&&o(i,this)}},Suspend:function(){this.running++},Resume:function(){this.running&&this.running--},call:function(){this.Process.apply(this,arguments)},wait:function(t){return t}}),g=f.Subclass({Init:function(t){f.prototype.Init.call(this),this.name=t,this.posted=[],this.listeners=m(!0),this.posting=!1,this.callback=null},Post:function(t,e,i){if(e=r(e),this.posting||this.pending)this.Push(["Post",this,t,e,i]);else{this.callback=e,e.reset(),i||this.posted.push(t),this.Suspend(),this.posting=!0;var a=this.listeners.Execute(t);n(a)&&!a.called&&o(a,this),this.Resume(),this.posting=!1,this.pending||this.call()}return e},Clear:function(t){return t=r(t),this.posting||this.pending?t=this.Push(["Clear",this,t]):(this.posted=[],t()),t},call:function(){this.callback(this),this.Process()},Interest:function(t,e,i){if(t=r(t),this.listeners.Add(t,i),!e)for(var a=0,s=this.posted.length;a<s;a++){t.reset();var l=t(this.posted[a]);n(l)&&a===this.posted.length-1&&o(l,this)}return t},NoInterest:function(t){this.listeners.Remove(t)},MessageHook:function(t,e,i){e=r(e),this.hooks||(this.hooks={},this.Interest(["ExecuteHooks",this])),this.hooks[t]||(this.hooks[t]=m(!0)),this.hooks[t].Add(e,i);for(var n=0,a=this.posted.length;n<a;n++)this.posted[n]==t&&(e.reset(),e(this.posted[n]));return e.msg=t,e},ExecuteHooks:function(t){var e=t instanceof Array?t[0]:t;return this.hooks[e]?this.hooks[e].Execute(t):null},RemoveHook:function(t){this.hooks[t.msg].Remove(t)}},{signals:{},find:function(t){return g.signals[t]||(g.signals[t]=new g(t)),g.signals[t]}});e.Callback=e.CallBack=r,e.Callback.Delay=function(t,e){return(e=r(e)).timeout=setTimeout(e,t),e},e.Callback.After=d,e.Callback.Queue=f,e.Callback.Signal=g.find,e.Callback.Hooks=m,e.Callback.ExecuteHooks=function(t,e,i){if(!t)return null;t instanceof Array||(t=[t]),e instanceof Array||(e=null==e?[]:[e]);for(var n=m(i),a=0,s=t.length;a<s;a++)n.Add(t[a]);return n.Execute.apply(n,e)}}(),function(t){var e=u.MathJax;e||(e=u.MathJax={});var i="Apple Computer, Inc."===h.vendor&&void 0===h.vendorSub,n=0,a=[],s=function(){for(var t=0,i=a.length;t<i;t++)e.Ajax.head.removeChild(a[t]);a=[]},r={MathJax:""};e.Ajax={loaded:{},loading:{},loadHooks:{},timeout:15e3,styleDelay:1,config:{root:"",path:r},STATUS:{OK:1,ERROR:-1},fileURL:function(t){var e=t.match(/^\[([-._a-z0-9]+)\]/i);return e&&e[1]in r&&(t=(r[e[1]]||this.config.root)+t.substr(e[1].length+2)),t},fileName:function(t){var e=this.config.root;if(t.substr(0,e.length)===e)t="[MathJax]"+t.substr(e.length);else for(var i in r)if(r.hasOwnProperty(i)&&r[i]&&t.substr(0,r[i].length)===r[i]){t="["+i+"]"+t.substr(r[i].length);break}return t},fileRev:function(t){var i=e.cdnFileVersions[name]||e.cdnVersion;return i&&(i="?rev="+i),i},urlRev:function(t){return this.fileURL(t)+this.fileRev(t)},Require:function(t,i){var n;if(i=e.Callback(i),t instanceof Object)for(var a in t)t.hasOwnProperty(a)&&(n=a.toUpperCase(),t=t[a]);else n=t.split(/\./).pop().toUpperCase();if(t=this.fileURL(t),this.loaded[t])i(this.loaded[t]);else{var s={};s[n]=t,this.Load(s,i)}return i},Load:function(t,i){var n;if(i=e.Callback(i),t instanceof Object)for(var a in t)t.hasOwnProperty(a)&&(n=a.toUpperCase(),t=t[a]);else n=t.split(/\./).pop().toUpperCase();if(t=this.fileURL(t),this.loading[t])this.addHook(t,i);else{if(this.head=(this.head,null),!this.loader[n])throw Error("Can't load files of type "+n);this.loader[n].call(this,t,i)}return i},LoadHook:function(t,i,n){if(i=e.Callback(i),t instanceof Object)for(var a in t)t.hasOwnProperty(a)&&(t=t[a]);return t=this.fileURL(t),this.loaded[t]?i(this.loaded[t]):this.addHook(t,i,n),i},addHook:function(t,e,i){this.loadHooks[t]||(this.loadHooks[t]=l.Callback.Hooks()),this.loadHooks[t].Add(e,i),e.file=t},removeHook:function(t){this.loadHooks[t.file]&&(this.loadHooks[t.file].Remove(t),this.loadHooks[t.file].hooks.length||delete this.loadHooks[t.file])},Preloading:function(){for(var t=0,e=arguments.length;t<e;t++){var i=this.fileURL(arguments[t]);this.loading[i]||this.loaded[i]||(this.loading[i]={preloaded:!0})}},loader:{JS:function(t,i){var n=this.fileName(t),a=e.Callback(["loadTimeout",this,t]);this.loading[t]={callback:i,timeout:setTimeout(a,this.timeout),status:this.STATUS.OK,script:null},this.loading[t].message=e.Message.File(n),u.System?u.System.import(t).catch(a):a()},CSS:function(t,i){var n=this.fileName(t),a=p.createElement("link");a.rel="stylesheet",a.type="text/css",a.href=t+this.fileRev(n),this.loading[t]={callback:i,message:e.Message.File(n),status:this.STATUS.OK},this.head.appendChild(a),this.timer.create.call(this,[this.timer.file,t],a)}},timer:{create:function(t,a){return t=e.Callback(t),"STYLE"===a.nodeName&&a.styleSheet&&void 0!==a.styleSheet.cssText||u.chrome&&"LINK"===a.nodeName?t(this.STATUS.OK):i?this.timer.start(this,[this.timer.checkSafari2,n++,t],this.styleDelay):this.timer.start(this,[this.timer.checkLength,a,t],this.styleDelay),t},start:function(t,i,n,a){(i=e.Callback(i)).execute=this.execute,i.time=this.time,i.STATUS=t.STATUS,i.timeout=a||t.timeout,i.delay=i.total=n||0,n?setTimeout(i,n):i()},time:function(t){return this.total+=this.delay,this.delay=Math.floor(1.05*this.delay+5),this.total>=this.timeout?(t(this.STATUS.ERROR),1):0},file:function(t,i){i<0?e.Ajax.loadTimeout(t):e.Ajax.loadComplete(t)},execute:function(){this.hook.call(this.object,this,this.data[0],this.data[1])},checkSafari2:function(t,e,i){t.time(i)||(p.styleSheets.length>e&&p.styleSheets[e].cssRules&&p.styleSheets[e].cssRules.length?i(t.STATUS.OK):setTimeout(t,t.delay))},checkLength:function(t,i,n){if(!t.time(n)){var a=0,s=i.sheet||i.styleSheet;try{(s.cssRules||s.rules||[]).length>0&&(a=1)}catch(t){(t.message.match(/protected variable|restricted URI/)||t.message.match(/Security error/))&&(a=1)}a?setTimeout(e.Callback([n,t.STATUS.OK]),0):setTimeout(t,t.delay)}}},loadComplete:function(t){t=this.fileURL(t);var i=this.loading[t];return i&&!i.preloaded?(e.Message.Clear(i.message),i.timeout&&clearTimeout(i.timeout),i.script&&(0===a.length&&setTimeout(s,0),a.push(i.script)),this.loaded[t]=i.status,delete this.loading[t],this.addHook(t,i.callback)):(i&&delete this.loading[t],this.loaded[t]=this.STATUS.OK,i={status:this.STATUS.OK}),this.loadHooks[t]?this.loadHooks[t].Execute(i.status):null},loadTimeout:function(t){this.loading[t].timeout&&clearTimeout(this.loading[t].timeout),this.loading[t].status=this.STATUS.ERROR,this.loadError(t),this.loadComplete(t)},loadError:function(t){e.Message.Set(["LoadFailed","File failed to load: %1",t],null,2e3),e.Hub.signal.Post(["file load error",t])},Styles:function(t,i){var n=this.StyleString(t);if(""===n)(i=e.Callback(i))();else{var a=p.createElement("style");a.type="text/css",this.head=(this.head,null),this.head.appendChild(a),a.styleSheet&&void 0!==a.styleSheet.cssText?a.styleSheet.cssText=n:a.appendChild(p.createTextNode(n)),i=this.timer.create.call(this,i,a)}return i},StyleString:function(t){if("string"==typeof t)return t;var e,i,n="";for(e in t)if(t.hasOwnProperty(e))if("string"==typeof t[e])n+=e+" {"+t[e]+"}\n";else if(t[e]instanceof Array)for(var a=0;a<t[e].length;a++)(i={})[e]=t[e][a],n+=this.StyleString(i);else if("@media"===e.substr(0,6))n+=e+" {"+this.StyleString(t[e])+"}\n";else if(null!=t[e]){for(var s in i=[],t[e])t[e].hasOwnProperty(s)&&null!=t[e][s]&&(i[i.length]=s+": "+t[e][s]);n+=e+" {"+i.join("; ")+"}\n"}return n}}}(),l.HTML={setDocument:function(t){p=this.document=t},Element:function(t,e,i){var n,a=p.createElement(t);if(e){if(e.hasOwnProperty("style")){var s=e.style;for(n in e.style={},s)s.hasOwnProperty(n)&&(e.style[n.replace(/-([a-z])/g,this.ucMatch)]=s[n])}for(n in l.Hub.Insert(a,e),e)"role"!==n&&"aria-"!==n.substr(0,5)||a.setAttribute(n,e[n])}if(i){l.Object.isArray(i)||(i=[i]);for(var r=0,o=i.length;r<o;r++)l.Object.isArray(i[r])?a.appendChild(this.Element(i[r][0],i[r][1],i[r][2])):"script"===t?this.setScript(a,i[r]):a.appendChild(p.createTextNode(i[r]))}return a},ucMatch:function(t,e){return e.toUpperCase()},addElement:function(t,e,i,n){return t.appendChild(this.Element(e,i,n))},TextNode:function(t){return p.createTextNode(t)},addText:function(t,e){return t.appendChild(this.TextNode(e))},setScript:function(t,e){if(this.setScriptBug)t.text=e;else{for(;t.firstChild;)t.removeChild(t.firstChild);this.addText(t,e)}},getScript:function(t){return t.innerText}},l.Localization={locale:"en",directory:"[MathJax]/localization",strings:{ast:{menuTitle:"asturianu"},bg:{menuTitle:"\u0431\u044a\u043b\u0433\u0430\u0440\u0441\u043a\u0438"},bcc:{menuTitle:"\u0628\u0644\u0648\u0686\u06cc"},br:{menuTitle:"brezhoneg"},ca:{menuTitle:"catal\xe0"},cdo:{menuTitle:"M\xecng-d\u0115\u0324ng-ng\u1e73\u0304"},cs:{menuTitle:"\u010de\u0161tina"},da:{menuTitle:"dansk"},de:{menuTitle:"Deutsch"},en:{menuTitle:"English",isLoaded:!0},eo:{menuTitle:"Esperanto"},es:{menuTitle:"espa\xf1ol"},fa:{menuTitle:"\u0641\u0627\u0631\u0633\u06cc"},fi:{menuTitle:"suomi"},fr:{menuTitle:"fran\xe7ais"},gl:{menuTitle:"galego"},he:{menuTitle:"\u05e2\u05d1\u05e8\u05d9\u05ea"},ia:{menuTitle:"interlingua"},it:{menuTitle:"italiano"},ja:{menuTitle:"\u65e5\u672c\u8a9e"},kn:{menuTitle:"\u0c95\u0ca8\u0ccd\u0ca8\u0ca1"},ko:{menuTitle:"\ud55c\uad6d\uc5b4"},lb:{menuTitle:"L\xebtzebuergesch"},lt:{menuTitle:"lietuvi\u0173"},mk:{menuTitle:"\u043c\u0430\u043a\u0435\u0434\u043e\u043d\u0441\u043a\u0438"},nl:{menuTitle:"Nederlands"},oc:{menuTitle:"occitan"},pl:{menuTitle:"polski"},pt:{menuTitle:"portugus\xea"},"pt-br":{menuTitle:"portugu\xeas do Brasil"},ru:{menuTitle:"\u0440\u0443\u0441\u0441\u043a\u0438\u0439"},sco:{menuTitle:"Scots"},scn:{menuTitle:"sicilianu"},sl:{menuTitle:"sloven\u0161\u010dina"},sv:{menuTitle:"svenska"},tr:{menuTitle:"T\xfcrk\xe7e"},uk:{menuTitle:"\u0443\u043a\u0440\u0430\u0457\u043d\u0441\u044c\u043a\u0430"},vi:{menuTitle:"Ti\u1ebfng Vi\u1ec7t"},"zh-hans":{menuTitle:"\u4e2d\u6587\uff08\u7b80\u4f53\uff09"}},pattern:/%(\d+|\{\d+\}|\{[a-z]+:\%\d+(?:\|(?:%\{\d+\}|%.|[^\}])*)+\}|.)/g,SPLIT:3==="axb".split(/(x)/).length?function(t,e){return t.split(e)}:function(t,e){var i,n=[],a=0;for(e.lastIndex=0;i=e.exec(t);)n.push(t.substr(a,i.index-a)),n.push.apply(n,i.slice(1)),a=i.index+i[0].length;return n.push(t.substr(a)),n},_:function(t,e){return e instanceof Array?this.processSnippet(t,e):this.processString(this.lookupPhrase(t,e),[].slice.call(arguments,2))},processString:function(t,e,i){var n,a;for(n=0,a=e.length;n<a;n++)i&&e[n]instanceof Array&&(e[n]=this.processSnippet(i,e[n]));var s=this.SPLIT(t,this.pattern);for(n=1,a=s.length;n<a;n+=2){var r=s[n].charAt(0);if(r>="0"&&r<="9")s[n]=e[s[n]-1],"number"==typeof s[n]&&(s[n]=this.number(s[n]));else if("{"===r)if((r=s[n].substr(1))>="0"&&r<="9")s[n]=e[s[n].substr(1,s[n].length-2)-1],"number"==typeof s[n]&&(s[n]=this.number(s[n]));else{var o=s[n].match(/^\{([a-z]+):%(\d+)\|(.*)\}$/);if(o)if("plural"===o[1]){var l=e[o[2]-1];if(void 0===l)s[n]="???";else{l=this.plural(l)-1;var u=o[3].replace(/(^|[^%])(%%)*%\|/g,"$1$2%\uefef").split(/\|/);l>=0&&l<u.length?s[n]=this.processString(u[l].replace(/\uEFEF/g,"|"),e,i):s[n]="???"}}else s[n]="%"+s[n]}null==s[n]&&(s[n]="???")}if(!i)return s.join("");var h=[],p="";for(n=0;n<a;n++)p+=s[n],++n<a&&(s[n]instanceof Array?(h.push(p),h=h.concat(s[n]),p=""):p+=s[n]);return""!==p&&h.push(p),h},processSnippet:function(t,e){for(var i=[],n=0,a=e.length;n<a;n++)if(e[n]instanceof Array){var s=e[n];if("string"==typeof s[1]){var r=s[0];r instanceof Array||(r=[t,r]);var o=this.lookupPhrase(r,s[1]);i=i.concat(this.processMarkdown(o,s.slice(2),t))}else s[1]instanceof Array?i=i.concat(this.processSnippet.apply(this,s)):s.length>=3?i.push([s[0],s[1],this.processSnippet(t,s[2])]):i.push(e[n])}else i.push(e[n]);return i},markdownPattern:/(%.)|(\*{1,3})((?:%.|.)+?)\2|(`+)((?:%.|.)+?)\4|\[((?:%.|.)+?)\]\(([^\s\)]+)\)/,processMarkdown:function(t,e,i){for(var n,a=[],s=t.split(this.markdownPattern),r=s[0],o=1,l=s.length;o<l;o+=8)s[o+1]?((n=this.processString(s[o+2],e,i))instanceof Array||(n=[n]),n=[["b","i","i"][s[o+1].length-1],{},n],3===s[o+1].length&&(n=["b",{},n])):s[o+3]?((n=this.processString(s[o+4].replace(/^\s/,"").replace(/\s$/,""),e,i))instanceof Array||(n=[n]),n=["code",{},n]):s[o+5]?((n=this.processString(s[o+5],e,i))instanceof Array||(n=[n]),n=["a",{href:this.processString(s[o+6],e),target:"_blank"},n]):(r+=s[o],n=null),n&&((a=this.concatString(a,r,e,i)).push(n),r=""),""!==s[o+7]&&(r+=s[o+7]);return a=this.concatString(a,r,e,i)},concatString:function(t,e,i,n){return""!=e&&((e=this.processString(e,i,n))instanceof Array||(e=[e]),t=t.concat(e)),t},lookupPhrase:function(t,e,i){i||(i="_"),t instanceof Array&&(i=t[0]||"_",t=t[1]||"");var n=this.loadDomain(i);n&&l.Hub.RestartAfter(n);var a=this.strings[this.locale];if(a&&a.domains&&i in a.domains){var s=a.domains[i];s.strings&&t in s.strings&&(e=s.strings[t])}return e},loadFile:function(t,e,i){(i=l.Callback(i),(t=e.file||t).match(/\.js$/)||(t+=".js"),t.match(/^([a-z]+:|\[MathJax\])/))||(t=(this.strings[this.locale].directory||this.directory+"/"+this.locale||"[MathJax]/localization/"+this.locale)+"/"+t);var n=l.Ajax.Require(t,(function(){return e.isLoaded=!0,i()}));return n.called?null:n},loadDomain:function(t,e){var i,n=this.strings[this.locale];if(n){if(!n.isLoaded&&(i=this.loadFile(this.locale,n)))return l.Callback.Queue(i,["loadDomain",this,t]).Push(e||{});if(n.domains&&t in n.domains){var a=n.domains[t];if(!a.isLoaded&&(i=this.loadFile(t,a)))return l.Callback.Queue(i).Push(e)}}return l.Callback(e)()},Try:function(t){(t=l.Callback(t)).autoReset=!0;try{t()}catch(e){if(!e.restart)throw e;l.Callback.After(["Try",this,t],e.restart)}},resetLocale:function(t){if(t){for(t=t.toLowerCase();!this.strings[t];){var e=t.lastIndexOf("-");if(-1===e)return;t=t.substring(0,e)}var i=this.strings[t].remap;this.locale=i||t}},setLocale:function(t){this.resetLocale(t),l.Menu&&this.loadDomain("MathMenu")},addTranslation:function(t,e,i){var n=this.strings[t],a=!1;n||(n=this.strings[t]={},a=!0),n.domains||(n.domains={}),e&&(n.domains[e]||(n.domains[e]={}),n=n.domains[e]),l.Hub.Insert(n,i),a&&l.Menu.menu&&l.Menu.CreateLocaleMenu()},setCSS:function(t){var e=this.strings[this.locale];return e&&(e.fontFamily&&(t.style.fontFamily=e.fontFamily),e.fontDirection&&(t.style.direction=e.fontDirection,"rtl"===e.fontDirection&&(t.style.textAlign="right"))),t},fontFamily:function(){var t=this.strings[this.locale];return t?t.fontFamily:null},fontDirection:function(){var t=this.strings[this.locale];return t?t.fontDirection:null},plural:function(t){var e=this.strings[this.locale];return e&&e.plural?e.plural(t):1==t?1:2},number:function(t){var e=this.strings[this.locale];return e&&e.number?e.number(t):t}},l.Message={localize:function(t){return l.Localization._(t,t)},filterText:function(t,e,i){return"simple"===l.Hub.config.messageStyle&&("LoadFile"===i?(this.loading||(this.loading=this.localize("Loading")+" "),t=this.loading,this.loading+="."):"ProcessMath"===i?(this.processing||(this.processing=this.localize("Processing")+" "),t=this.processing,this.processing+="."):"TypesetMath"===i&&(this.typesetting||(this.typesetting=this.localize("Typesetting")+" "),t=this.typesetting,this.typesetting+=".")),t},Set:function(t,e,i){l.debug&&(Array.isArray(t)&&(t=l.Localization._.apply(l.Localization,t)),console.log("Message: "+t))},Clear:function(t,e){},Remove:function(){},File:function(t){return this.Set(["LoadFile","Loading %1",t],null,null)},Log:function(){}},l.Hub={config:{root:"./mathjax2/legacy",config:[],jax:[],extensions:[],preJax:null,postJax:null,displayAlign:"center",displayIndent:"0",preRemoveClass:"MathJax_Preview",showProcessingMessages:!0,messageStyle:"normal",delayStartupUntil:"none",skipStartupTypeset:!1,elements:[],positionToHash:!0,showMathMenu:!0,showMathMenuMSIE:!0,menuSettings:{zoom:"None",CTRL:!1,ALT:!1,CMD:!1,Shift:!1,discoverable:!1,zscale:"200%",renderer:null,font:"Auto",context:"MathJax",locale:null,mpContext:!1,mpMouse:!1,texHints:!0,FastPreview:null,assistiveMML:null,inTabOrder:!0,semantics:!1},errorSettings:{message:["[",["MathProcessingError","Math Processing Error"],"]"],style:{color:"#CC0000","font-style":"italic"}},ignoreMMLattributes:{}},preProcessors:l.Callback.Hooks(!0),inputJax:{},outputJax:{order:{}},processSectionDelay:50,processUpdateTime:250,processUpdateDelay:10,signal:l.Callback.Signal("Hub"),Config:function(t){this.Insert(this.config,t),this.config.Augment&&this.Augment(this.config.Augment)},CombineConfig:function(t,e){for(var i,n,a=this.config,s=0,r=(t=t.split(/\./)).length;s<r;s++)a[i=t[s]]||(a[i]={}),n=a,a=a[i];return n[i]=a=this.Insert(e,a),a},Register:{PreProcessor:function(){return l.Hub.preProcessors.Add.apply(l.Hub.preProcessors,arguments)},MessageHook:function(){return l.Hub.signal.MessageHook.apply(l.Hub.signal,arguments)},StartupHook:function(){return l.Hub.Startup.signal.MessageHook.apply(l.Hub.Startup.signal,arguments)},LoadHook:function(){return l.Ajax.LoadHook.apply(l.Ajax,arguments)}},UnRegister:{PreProcessor:function(t){l.Hub.preProcessors.Remove(t)},MessageHook:function(t){l.Hub.signal.RemoveHook(t)},StartupHook:function(t){l.Hub.Startup.signal.RemoveHook(t)},LoadHook:function(t){l.Ajax.removeHook(t)}},setRenderer:function(t,e){if(t){if(l.OutputJax[t]){this.config.menuSettings.renderer=t,null==e&&(e="jax/mml");var i=this.outputJax;return i[e]&&i[e].length&&t!==i[e][0].id?(i[e].unshift(l.OutputJax[t]),this.signal.Post(["Renderer Selected",t])):null}this.config.menuSettings.renderer="";var n="[MathJax]/jax/output/"+t+"/config.js";return l.Ajax.Require(n,["setRenderer",this,t,e])}},Queue:function(){return this.queue.Push.apply(this.queue,arguments)},RestartAfter:function(t){throw this.Insert(Error("restart"),{restart:l.Callback(t)})},Insert:function(t,e){for(var i in e)e.hasOwnProperty(i)&&("object"!=typeof e[i]||e[i]instanceof Array||"object"!=typeof t[i]&&"function"!=typeof t[i]?t[i]=e[i]:this.Insert(t[i],e[i]));return t},SplitList:"trim"in String.prototype?function(t){return t.trim().split(/\s+/)}:function(t){return t.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s+/)}},l.Extension={},l.Hub.Startup={queue:l.Callback.Queue(),signal:l.Callback.Signal("Startup")},l.Ajax.config.root=l.Hub.config.root,i=u.MathJax,n="[MathJax]",a=i.Hub,s=i.Ajax,r=i.Callback,o=l.Object.Subclass({JAXFILE:"jax.js",require:null,config:{},Init:function(t,e){return 0===arguments.length?this:this.constructor.Subclass(t,e)()},Augment:function(t,e){var i=this.constructor,n={};if(null!=t){for(var s in t)t.hasOwnProperty(s)&&("function"==typeof t[s]?i.protoFunction(s,t[s]):n[s]=t[s]);t.toString!==i.prototype.toString&&t.toString!=={}.toString&&i.protoFunction("toString",t.toString)}return a.Insert(i.prototype,n),i.Augment(null,e),this},Translate:function(t,e){throw Error(this.directory+"/"+this.JAXFILE+" failed to define the Translate() method")},Register:function(t){},Config:function(){this.config=a.CombineConfig(this.id,this.config),this.config.Augment&&this.Augment(this.config.Augment)},Startup:function(){},loadComplete:function(t){if("config.js"===t)return s.loadComplete(this.directory+"/"+t);var e=r.Queue();return e.Push(["Post",a.Startup.signal,this.id+" Jax Config"],["Config",this],["Post",a.Startup.signal,this.id+" Jax Startup"],["Startup",this],["Post",a.Startup.signal,this.id+" Jax Ready"]),this.copyTranslate&&e.Push([function(t){t.preProcess=t.preTranslate,t.Process=t.Translate,t.postProcess=t.postTranslate},this.constructor.prototype]),e.Push(["loadComplete",s,this.directory+"/"+t])}},{id:"Jax",version:"2.6.0",directory:n+"/jax",extensionDir:n+"/extensions"}),i.InputJax=o.Subclass({elementJax:"mml",sourceMenuTitle:["Original","Original Form"],copyTranslate:!0,Process:function(t,e){throw Error("Input jax failed to load properly")},needsUpdate:function(t){var e=t.SourceElement();return t.originalText!==i.HTML.getScript(e)},Register:function(t){a.inputJax||(a.inputJax={}),a.inputJax[t]=this}},{id:"InputJax",version:"2.6.0",directory:o.directory+"/input",extensionDir:o.extensionDir}),i.OutputJax=o.Subclass({copyTranslate:!0,preProcess:function(t){throw Error("Output jax failed to load properly")},Register:function(t){var e=a.outputJax;e[t]||(e[t]=[]),e[t].length&&(this.id===a.config.menuSettings.renderer||(e.order[this.id]||0)<(e.order[e[t][0].id]||0))?e[t].unshift(this):e[t].push(this)},Remove:function(t){}},{id:"OutputJax",version:"2.6.0",directory:o.directory+"/output",extensionDir:o.extensionDir,fontDir:n+(i.isPacked?"":"/..")+"/fonts",imageDir:n+(i.isPacked?"":"/..")+"/images"}),i.ElementJax=o.Subclass({Init:function(t,e){return this.constructor.Subclass(t,e)},inputJax:null,outputJax:null,inputID:null,originalText:"",mimeType:"",sourceMenuTitle:["MathMLcode","MathML Code"],Text:function(t,e){var n=this.SourceElement();return i.HTML.setScript(n,t),n.MathJax.state=this.STATE.UPDATE,a.Update(n,e)},Reprocess:function(t){var e=this.SourceElement();return e.MathJax.state=this.STATE.UPDATE,a.Reprocess(e,t)},Update:function(t){return this.Rerender(t)},Rerender:function(t){var e=this.SourceElement();return e.MathJax.state=this.STATE.OUTPUT,a.Process(e,t)},Remove:function(t){this.hover&&this.hover.clear(this),i.OutputJax[this.outputJax].Remove(this),t||(a.signal.Post(["Remove Math",this.inputID]),this.Detach())},needsUpdate:function(){return i.InputJax[this.inputJax].needsUpdate(this)},SourceElement:function(){return p.getElementById(this.inputID)},Attach:function(t,e){var n=t.MathJax.elementJax;return t.MathJax.state===this.STATE.UPDATE?n.Clone(this):(n=t.MathJax.elementJax=this,t.id?this.inputID=t.id:(t.id=this.inputID=i.ElementJax.GetID(),this.newID=1)),n.originalText=i.HTML.getScript(t),n.inputJax=e,n.root&&(n.root.inputID=n.inputID),n},Detach:function(){var t=this.SourceElement();if(t){try{delete t.MathJax}catch(e){t.MathJax=null}this.newID&&(t.id="")}},Clone:function(t){var e;for(e in this)this.hasOwnProperty(e)&&void 0===t[e]&&"newID"!==e&&delete this[e];for(e in t)t.hasOwnProperty(e)&&(void 0===this[e]||this[e]!==t[e]&&"inputID"!==e)&&(this[e]=t[e])}},{id:"ElementJax",version:"2.6.0",directory:o.directory+"/element",extensionDir:o.extensionDir,ID:0,STATE:{PENDING:1,PROCESSED:2,UPDATE:3,OUTPUT:4},GetID:function(){return this.ID++,"MathJax-Element-"+this.ID},Subclass:function(){var t=o.Subclass.apply(this,arguments);return t.loadComplete=this.prototype.loadComplete,t}}),i.ElementJax.prototype.STATE=i.ElementJax.STATE,l.Hub.Browser={Select:function(){}}},477:function(){var t,e,i;t=MathJax.ElementJax.mml,e=["texWithDelims","movesupsub","subsupOK","primes","movablelimits","scriptlevel","open","close","isError","multiline","variantForm","autoOP","fnOP"],i={texWithDelims:"withDelims"},t.mbase.Augment({toMmlNode:function(t){var e=this.type;"texatom"===e&&(e="TeXAtom");var i=this.nodeMake(t,e);return"texClass"in this&&(i.texClass=this.texClass),i},nodeMake:function(t,e){for(var i=t.MML["TeXmathchoice"===e?"mathchoice":e](),n=this.data[0]&&this.data[0].inferred&&this.inferRow?this.data[0].data:this.data,a=0,s=n.length;a<s;a++){var r=n[a];r&&i.appendChild(r.toMmlNode(t))}return this.nodeAddAttributes(i),this.nodeAddProperties(i),i},nodeAddAttributes:function(e){var i="mstyle"===this.type?t.math.prototype.defaults:this.defaults,n=this.attrNames||t.copyAttributeNames,a=t.skipAttributes,s=t.copyAttributes;if(!this.attrNames){for(var r in i)a[r]||s[r]||!i.hasOwnProperty(r)||null!=this[r]&&this[r]!==i[r]&&this.Get(r,null,1)!==this[r]&&e.attributes.set(r,this[r]);this.class&&e.attributes.set("class",this.class)}for(var o=0,l=n.length;o<l;o++)if(1!==s[n[o]]||i.hasOwnProperty(n[o])){var u=(this.attr||{})[n[o]];null==u&&(u=this[n[o]]),"true"!==u&&"false"!==u||(u="true"===u),null!=u&&e.attributes.set(n[o],u)}},nodeAddProperties:function(n){for(var a=0,s=e.length;a<s;a++){var r=e[a];null==this[r]||null!=this.defaults[r]&&this.defaults[r]!==t.AUTO||n.setProperty(i[r]||r,this[r])}}}),t.chars.Augment({toMmlNode:function(t){return t.MML.text().setText(this.data.join(""))}}),t.entity.Augment({toMmlNode:function(t){return t.MML.text().setText(this.toString())}}),t.msubsup.Augment({toMmlNode:function(t){var e=null==this.data[this.sub]?"msup":null==this.data[this.sup]?"msub":"msubsup";return this.nodeMake(t,e)}}),t.munderover.Augment({toMmlNode:function(t){var e=null==this.data[this.under]?"mover":null==this.data[this.over]?"munder":"munderover";return this.nodeMake(t,e)}}),t.xml.Augment({toMmlNode:function(t){return t.MML.xml(this.data)}})},404:function(){MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.2",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"}),MathJax.ElementJax.mml.Augment({Init:function(){if(1===arguments.length&&"math"===arguments[0].type?this.root=arguments[0]:this.root=MathJax.ElementJax.mml.math.apply(this,arguments),this.root.attr&&this.root.attr.mode){this.root.display||"display"!==this.root.attr.mode||(this.root.display="block",this.root.attrNames.push("display")),delete this.root.attr.mode;for(var t=0,e=this.root.attrNames.length;t<e;t++)if("mode"===this.root.attrNames[t]){this.root.attrNames.splice(t,1);break}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:!0,useHeight:!0,texprimestyle:!0},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:!0,fontsize:!0,fontweight:!0,fontstyle:!0,color:!0,background:!0,id:!0,class:1,href:!0,style:!0},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:!0,fontsize:!0,fontweight:!0,fontstyle:!0,color:!0,background:!0,id:!0,class:!0,href:!0,style:!0,xmlns:!0},Error:function(t,e){var i=this.merror(t),n=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();return e&&(i=i.With(e)),(n||a)&&(i=this.mstyle(i),n&&(i.dir=n),a&&(i.style.fontFamily="font-family: "+a)),i}}),function(t){t.mbase=MathJax.Object.Subclass({type:"base",isToken:!1,defaults:{mathbackground:t.INHERIT,mathcolor:t.INHERIT,dir:t.INHERIT},noInherit:{},noInheritAttribute:{texClass:!0},getRemoved:{},linebreakContainer:!1,Init:function(){this.data=[],!this.inferRow||1===arguments.length&&arguments[0].inferred||this.Append(t.mrow().With({inferred:!0,notParent:!0})),this.Append.apply(this,arguments)},With:function(t){for(var e in t)t.hasOwnProperty(e)&&(this[e]=t[e]);return this},Append:function(){if(this.inferRow&&this.data.length)this.data[0].Append.apply(this.data[0],arguments);else for(var t=0,e=arguments.length;t<e;t++)this.SetData(this.data.length,arguments[t])},SetData:function(e,i){null!=i&&(i instanceof t.mbase||(i=this.isToken||this.isChars?t.chars(i):t.mtext(i)),i.parent=this,i.setInherit(this.inheritFromMe?this:this.inherit)),this.data[e]=i},Parent:function(){for(var t=this.parent;t&&t.notParent;)t=t.parent;return t},Get:function(e,i,n){if(!n){if(null!=this[e])return this[e];if(this.attr&&null!=this.attr[e])return this.attr[e]}var a=this.Parent();if(a&&null!=a["adjustChild_"+e])return a["adjustChild_"+e](this.childPosition(),i);for(var s=this.inherit,r=s;s;){var o=s[e];if(null==o&&s.attr&&(o=s.attr[e]),s.removedStyles&&s.getRemoved[e]&&null==o&&(o=s.removedStyles[s.getRemoved[e]]),null!=o&&s.noInheritAttribute&&!s.noInheritAttribute[e]){var l=s.noInherit[this.type];if(!l||!l[e])return o}r=s,s=s.inherit}if(!i){if(this.defaults[e]===t.AUTO)return this.autoDefault(e);if(this.defaults[e]!==t.INHERIT&&null!=this.defaults[e])return this.defaults[e];if(r)return r.defaults[e]}return null},hasValue:function(t){return null!=this.Get(t,!0)},getValues:function(){for(var t={},e=0,i=arguments.length;e<i;e++)t[arguments[e]]=this.Get(arguments[e]);return t},adjustChild_scriptlevel:function(t,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(t,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(t,e){return this.Get("texprimestyle",e)},childPosition:function(){for(var t=this,e=t.parent;e.notParent;)e=(t=e).parent;for(var i=0,n=e.data.length;i<n;i++)if(e.data[i]===t)return i;return null},setInherit:function(t){if(t!==this.inherit&&null==this.inherit){this.inherit=t;for(var e=0,i=this.data.length;e<i;e++)this.data[e]&&this.data[e].setInherit&&this.data[e].setInherit(t)}},setTeXclass:function(t){return this.getPrevClass(t),void 0!==this.texClass?this:t},getPrevClass:function(t){t&&(this.prevClass=t.Get("texClass"),this.prevLevel=t.Get("scriptlevel"))},updateTeXclass:function(t){t&&(this.prevClass=t.prevClass,delete t.prevClass,this.prevLevel=t.prevLevel,delete t.prevLevel,this.texClass=t.Get("texClass"))},texSpacing:function(){var e=null!=this.prevClass?this.prevClass:t.TEXCLASS.NONE,i=this.Get("texClass")||t.TEXCLASS.ORD;if(e===t.TEXCLASS.NONE||i===t.TEXCLASS.NONE)return"";e===t.TEXCLASS.VCENTER&&(e=t.TEXCLASS.ORD),i===t.TEXCLASS.VCENTER&&(i=t.TEXCLASS.ORD);var n=this.TEXSPACE[e][i];return(this.prevLevel>0||this.Get("scriptlevel")>0)&&n>=0?"":this.TEXSPACELENGTH[Math.abs(n)]},TEXSPACELENGTH:["",t.LENGTH.THINMATHSPACE,t.LENGTH.MEDIUMMATHSPACE,t.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(t){return""},isSpacelike:function(){return!1},isEmbellished:function(){return!1},Core:function(){return this},CoreMO:function(){return this},childIndex:function(t){if(null!=t)for(var e=0,i=this.data.length;e<i;e++)if(t===this.data[e])return e},CoreIndex:function(){return(this.inferRow&&this.data[0]||this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished())return this.CoreMO().hasNewline();if(this.isToken||this.linebreakContainer)return!1;for(var t=0,e=this.data.length;t<e;t++)if(this.data[t]&&this.data[t].hasNewline())return!0;return!1},array:function(){return this.inferred?this.data:[this]},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var t=0,e=this.data.length;t<e;t++)if(!this.data[t].isSpacelike())return!1;return!0},childEmbellished:function(){return this.data[0]&&this.data[0].isEmbellished()},childCore:function(){return this.inferRow&&this.data[0]?this.data[0].Core():this.data[0]},childCoreMO:function(){return this.data[0]?this.data[0].CoreMO():null},setChildTeXclass:function(t){return this.data[0]&&(t=this.data[0].setTeXclass(t),this.updateTeXclass(this.data[0])),t},setBaseTeXclasses:function(e){this.getPrevClass(e),this.texClass=null,this.data[0]?this.isEmbellished()||this.data[0].isa(t.mi)?(e=this.data[0].setTeXclass(e),this.updateTeXclass(this.Core())):(this.data[0].setTeXclass(),e=this):e=this;for(var i=1,n=this.data.length;i<n;i++)this.data[i]&&this.data[i].setTeXclass();return e},setSeparateTeXclasses:function(t){this.getPrevClass(t);for(var e=0,i=this.data.length;e<i;e++)this.data[e]&&this.data[e].setTeXclass();return this.isEmbellished()&&this.updateTeXclass(this.Core()),this}}),t.mi=t.mbase.Subclass({type:"mi",isToken:!0,texClass:t.TEXCLASS.ORD,defaults:{mathvariant:t.AUTO,mathsize:t.INHERIT,mathbackground:t.INHERIT,mathcolor:t.INHERIT,dir:t.INHERIT},autoDefault:function(e){if("mathvariant"===e){var i=(this.data[0]||"").toString();return 1===i.length||2===i.length&&i.charCodeAt(0)>=55296&&i.charCodeAt(0)<56320?t.VARIANT.ITALIC:t.VARIANT.NORMAL}return""},setTeXclass:function(e){this.getPrevClass(e);var i=this.data.join("");return i.length>1&&i.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===t.TEXCLASS.ORD&&(this.texClass=t.TEXCLASS.OP,this.autoOP=!0),this}}),t.mn=t.mbase.Subclass({type:"mn",isToken:!0,texClass:t.TEXCLASS.ORD,defaults:{mathvariant:t.INHERIT,mathsize:t.INHERIT,mathbackground:t.INHERIT,mathcolor:t.INHERIT,dir:t.INHERIT}}),t.mo=t.mbase.Subclass({type:"mo",isToken:!0,defaults:{mathvariant:t.INHERIT,mathsize:t.INHERIT,mathbackground:t.INHERIT,mathcolor:t.INHERIT,dir:t.INHERIT,form:t.AUTO,fence:t.AUTO,separator:t.AUTO,lspace:t.AUTO,rspace:t.AUTO,stretchy:t.AUTO,symmetric:t.AUTO,maxsize:t.AUTO,minsize:t.AUTO,largeop:t.AUTO,movablelimits:t.AUTO,accent:t.AUTO,linebreak:t.LINEBREAK.AUTO,lineleading:t.INHERIT,linebreakstyle:t.AUTO,linebreakmultchar:t.INHERIT,indentalign:t.INHERIT,indentshift:t.INHERIT,indenttarget:t.INHERIT,indentalignfirst:t.INHERIT,indentshiftfirst:t.INHERIT,indentalignlast:t.INHERIT,indentshiftlast:t.INHERIT,texClass:t.AUTO},defaultDef:{form:t.FORM.INFIX,fence:!1,separator:!1,lspace:t.LENGTH.THICKMATHSPACE,rspace:t.LENGTH.THICKMATHSPACE,stretchy:!1,symmetric:!1,maxsize:t.SIZE.INFINITY,minsize:"0em",largeop:!1,movablelimits:!1,accent:!1,linebreak:t.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:t.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:t.INDENTALIGN.INDENTALIGN,indentshiftfirst:t.INDENTSHIFT.INDENTSHIFT,indentalignlast:t.INDENTALIGN.INDENTALIGN,indentshiftlast:t.INDENTSHIFT.INDENTSHIFT,texClass:t.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(e,i){var n=this.def;if(!n){if("form"===e)return this.useMMLspacing&=~this.SPACE_ATTR.form,this.getForm();for(var a=this.data.join(""),s=[this.Get("form"),t.FORM.INFIX,t.FORM.POSTFIX,t.FORM.PREFIX],r=0,o=s.length;r<o;r++){var l=this.OPTABLE[s[r]][a];if(l){n=this.makeDef(l);break}}n||(n=this.CheckRange(a)),!n&&i?n={}:(n||(n=MathJax.Hub.Insert({},this.defaultDef)),this.parent?this.def=n:n=MathJax.Hub.Insert({},n),n.form=s[0])}return this.useMMLspacing&=~(this.SPACE_ATTR[e]||0),null!=n[e]?n[e]:i?"":this.defaultDef[e]},CheckRange:function(e){var i=e.charCodeAt(0);i>=55296&&i<56320&&(i=(i-55296<<10)+(e.charCodeAt(1)-56320)+65536);for(var n=0,a=this.RANGES.length;n<a&&this.RANGES[n][0]<=i;n++)if(i<=this.RANGES[n][1]){if(this.RANGES[n][3]){var s=t.optableDir+"/"+this.RANGES[n][3]+".js";this.RANGES[n][3]=null,MathJax.Hub.RestartAfter(MathJax.Ajax.Require(s))}var r=t.TEXCLASSNAMES[this.RANGES[n][2]];return r=this.OPTABLE.infix[e]=t.mo.OPTYPES["BIN"===r?"BIN3":r],this.makeDef(r)}return null},makeDef:function(e){null==e[2]&&(e[2]=this.defaultDef.texClass),e[3]||(e[3]={});var i=MathJax.Hub.Insert({},e[3]);return i.lspace=this.SPACE[e[0]],i.rspace=this.SPACE[e[1]],i.texClass=e[2],i.texClass===t.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))&&(i.texClass=t.TEXCLASS.OP),i},getForm:function(){for(var e=this,i=this.parent,n=this.Parent();n&&n.isEmbellished();)e=i,i=n.parent,n=n.Parent();if(i&&"mrow"===i.type&&1!==i.NonSpaceLength()){if(i.FirstNonSpace()===e)return t.FORM.PREFIX;if(i.LastNonSpace()===e)return t.FORM.POSTFIX}return t.FORM.INFIX},isEmbellished:function(){return!0},hasNewline:function(){return this.Get("linebreak")===t.LINEBREAK.NEWLINE},CoreParent:function(){for(var e=this;e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(t.math);)e=e.Parent();return e},CoreText:function(e){if(!e)return"";if(e.isEmbellished())return e.CoreMO().data.join("");for(;((e.isa(t.mrow)||e.isa(t.TeXAtom)||e.isa(t.mstyle)||e.isa(t.mphantom))&&1===e.data.length||e.isa(t.munderover))&&e.data[0];)e=e.data[0];return e.isToken?e.data.join(""):""},remapChars:{"*":"\u2217",'"':"\u2033","\xb0":"\u2218","\xb2":"2","\xb3":"3","\xb4":"\u2032","\xb9":"1"},remap:function(t,e){return t=t.replace(/-/g,"\u2212"),e&&1===(t=t.replace(/'/g,"\u2032").replace(/`/g,"\u2035")).length&&(t=e[t]||t),t},setTeXclass:function(e){var i=this.getValues("form","lspace","rspace","fence");return this.useMMLspacing?(this.texClass=t.TEXCLASS.NONE,this):(i.fence&&!this.texClass&&(i.form===t.FORM.PREFIX&&(this.texClass=t.TEXCLASS.OPEN),i.form===t.FORM.POSTFIX&&(this.texClass=t.TEXCLASS.CLOSE)),this.texClass=this.Get("texClass"),"\u2061"===this.data.join("")?(e&&(e.texClass=t.TEXCLASS.OP,e.fnOP=!0),this.texClass=this.prevClass=t.TEXCLASS.NONE,e):this.adjustTeXclass(e))},adjustTeXclass:function(e){if(this.texClass===t.TEXCLASS.NONE)return e;if(e?(!e.autoOP||this.texClass!==t.TEXCLASS.BIN&&this.texClass!==t.TEXCLASS.REL||(e.texClass=t.TEXCLASS.ORD),this.prevClass=e.texClass||t.TEXCLASS.ORD,this.prevLevel=e.Get("scriptlevel")):this.prevClass=t.TEXCLASS.NONE,this.texClass!==t.TEXCLASS.BIN||this.prevClass!==t.TEXCLASS.NONE&&this.prevClass!==t.TEXCLASS.BIN&&this.prevClass!==t.TEXCLASS.OP&&this.prevClass!==t.TEXCLASS.REL&&this.prevClass!==t.TEXCLASS.OPEN&&this.prevClass!==t.TEXCLASS.PUNCT)if(this.prevClass!==t.TEXCLASS.BIN||this.texClass!==t.TEXCLASS.REL&&this.texClass!==t.TEXCLASS.CLOSE&&this.texClass!==t.TEXCLASS.PUNCT){if(this.texClass===t.TEXCLASS.BIN){for(var i=this,n=this.parent;n&&n.parent&&n.isEmbellished()&&(1===n.data.length||"mrow"!==n.type&&n.Core()===i);)i=n,n=n.parent;n.data[n.data.length-1]===i&&(this.texClass=t.TEXCLASS.ORD)}}else e.texClass=this.prevClass=t.TEXCLASS.ORD;else this.texClass=t.TEXCLASS.ORD;return this}}),t.mtext=t.mbase.Subclass({type:"mtext",isToken:!0,isSpacelike:function(){return!0},texClass:t.TEXCLASS.ORD,defaults:{mathvariant:t.INHERIT,mathsize:t.INHERIT,mathbackground:t.INHERIT,mathcolor:t.INHERIT,dir:t.INHERIT}}),t.mspace=t.mbase.Subclass({type:"mspace",isToken:!0,isSpacelike:function(){return!0},defaults:{mathbackground:t.INHERIT,mathcolor:t.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:t.LINEBREAK.AUTO},hasDimAttr:function(){return this.hasValue("width")||this.hasValue("height")||this.hasValue("depth")},hasNewline:function(){return!this.hasDimAttr()&&this.Get("linebreak")===t.LINEBREAK.NEWLINE}}),t.ms=t.mbase.Subclass({type:"ms",isToken:!0,texClass:t.TEXCLASS.ORD,defaults:{mathvariant:t.INHERIT,mathsize:t.INHERIT,mathbackground:t.INHERIT,mathcolor:t.INHERIT,dir:t.INHERIT,lquote:'"',rquote:'"'}}),t.mglyph=t.mbase.Subclass({type:"mglyph",isToken:!0,texClass:t.TEXCLASS.ORD,defaults:{mathbackground:t.INHERIT,mathcolor:t.INHERIT,alt:"",src:"",width:t.AUTO,height:t.AUTO,valign:"0em"}}),t.mrow=t.mbase.Subclass({type:"mrow",isSpacelike:t.mbase.childrenSpacelike,inferred:!1,notParent:!1,isEmbellished:function(){for(var t=!1,e=0,i=this.data.length;e<i;e++)if(null!=this.data[e])if(this.data[e].isEmbellished()){if(t)return!1;t=!0,this.core=e}else if(!this.data[e].isSpacelike())return!1;return t},NonSpaceLength:function(){for(var t=0,e=0,i=this.data.length;e<i;e++)this.data[e]&&!this.data[e].isSpacelike()&&t++;return t},FirstNonSpace:function(){for(var t=0,e=this.data.length;t<e;t++)if(this.data[t]&&!this.data[t].isSpacelike())return this.data[t];return null},LastNonSpace:function(){for(var t=this.data.length-1;t>=0;t--)if(this.data[0]&&!this.data[t].isSpacelike())return this.data[t];return null},Core:function(){return this.isEmbellished()&&void 0!==this.core?this.data[this.core]:this},CoreMO:function(){return this.isEmbellished()&&void 0!==this.core?this.data[this.core].CoreMO():this},toString:function(){return this.inferred?"["+this.data.join(",")+"]":this.SUPER(arguments).toString.call(this)},setTeXclass:function(e){var i,n=this.data.length;if(!this.open&&!this.close||e&&e.fnOP){for(i=0;i<n;i++)this.data[i]&&(e=this.data[i].setTeXclass(e));return this.data[0]&&this.updateTeXclass(this.data[0]),e}for(this.getPrevClass(e),e=null,i=0;i<n;i++)this.data[i]&&(e=this.data[i].setTeXclass(e));return this.hasOwnProperty("texClass")||(this.texClass=t.TEXCLASS.INNER),this},getAnnotation:function(t){return 1!=this.data.length?null:this.data[0].getAnnotation(t)}}),t.mfrac=t.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:!0,isEmbellished:t.mbase.childEmbellished,Core:t.mbase.childCore,CoreMO:t.mbase.childCoreMO,defaults:{mathbackground:t.INHERIT,mathcolor:t.INHERIT,linethickness:t.LINETHICKNESS.MEDIUM,numalign:t.ALIGN.CENTER,denomalign:t.ALIGN.CENTER,bevelled:!1},adjustChild_displaystyle:function(t){return!1},adjustChild_scriptlevel:function(t){var e=this.Get("scriptlevel");return(!this.Get("displaystyle")||e>0)&&e++,e},adjustChild_texprimestyle:function(t){return t==this.den||this.Get("texprimestyle")},setTeXclass:t.mbase.setSeparateTeXclasses}),t.msqrt=t.mbase.Subclass({type:"msqrt",inferRow:!0,linebreakContainer:!0,texClass:t.TEXCLASS.ORD,setTeXclass:t.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(t){return!0}}),t.mroot=t.mbase.Subclass({type:"mroot",linebreakContainer:!0,texClass:t.TEXCLASS.ORD,adjustChild_displaystyle:function(t){return 1!==t&&this.Get("displaystyle")},adjustChild_scriptlevel:function(t){var e=this.Get("scriptlevel");return 1===t&&(e+=2),e},adjustChild_texprimestyle:function(t){return 0===t||this.Get("texprimestyle")},setTeXclass:t.mbase.setSeparateTeXclasses}),t.mstyle=t.mbase.Subclass({type:"mstyle",isSpacelike:t.mbase.childrenSpacelike,isEmbellished:t.mbase.childEmbellished,Core:t.mbase.childCore,CoreMO:t.mbase.childCoreMO,inferRow:!0,defaults:{scriptlevel:t.INHERIT,displaystyle:t.INHERIT,scriptsizemultiplier:Math.sqrt(.5),scriptminsize:"8pt",mathbackground:t.INHERIT,mathcolor:t.INHERIT,dir:t.INHERIT,infixlinebreakstyle:t.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(t){var e=this.scriptlevel;if(null==e)e=this.Get("scriptlevel");else if(String(e).match(/^ *[-+]/)){e=this.Get("scriptlevel",null,!0)+parseInt(e)}return e},inheritFromMe:!0,noInherit:{mpadded:{width:!0,height:!0,depth:!0,lspace:!0,voffset:!0},mtable:{width:!0,height:!0,depth:!0,align:!0}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:t.mbase.setChildTeXclass}),t.merror=t.mbase.Subclass({type:"merror",inferRow:!0,linebreakContainer:!0,texClass:t.TEXCLASS.ORD}),t.mpadded=t.mbase.Subclass({type:"mpadded",inferRow:!0,isSpacelike:t.mbase.childrenSpacelike,isEmbellished:t.mbase.childEmbellished,Core:t.mbase.childCore,CoreMO:t.mbase.childCoreMO,defaults:{mathbackground:t.INHERIT,mathcolor:t.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:t.mbase.setChildTeXclass}),t.mphantom=t.mbase.Subclass({type:"mphantom",texClass:t.TEXCLASS.ORD,inferRow:!0,isSpacelike:t.mbase.childrenSpacelike,isEmbellished:t.mbase.childEmbellished,Core:t.mbase.childCore,CoreMO:t.mbase.childCoreMO,setTeXclass:t.mbase.setChildTeXclass}),t.mfenced=t.mbase.Subclass({type:"mfenced",defaults:{mathbackground:t.INHERIT,mathcolor:t.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var e=this.getValues("open","close","separators");if(e.open=e.open.replace(/[ \t\n\r]/g,""),e.close=e.close.replace(/[ \t\n\r]/g,""),e.separators=e.separators.replace(/[ \t\n\r]/g,""),""!==e.open&&(this.SetData("open",t.mo(e.open).With({fence:!0,form:t.FORM.PREFIX,texClass:t.TEXCLASS.OPEN})),this.data.open.useMMLspacing=0),""!==e.separators){for(;e.separators.length<this.data.length;)e.separators+=e.separators.charAt(e.separators.length-1);for(var i=1,n=this.data.length;i<n;i++)this.data[i]&&(this.SetData("sep"+i,t.mo(e.separators.charAt(i-1)).With({separator:!0})),this.data["sep"+i].useMMLspacing=0)}""!==e.close&&(this.SetData("close",t.mo(e.close).With({fence:!0,form:t.FORM.POSTFIX,texClass:t.TEXCLASS.CLOSE})),this.data.close.useMMLspacing=0)},texClass:t.TEXCLASS.OPEN,setTeXclass:function(e){this.addFakeNodes(),this.getPrevClass(e),this.data.open&&(e=this.data.open.setTeXclass(e)),this.data[0]&&(e=this.data[0].setTeXclass(e));for(var i=1,n=this.data.length;i<n;i++)this.data["sep"+i]&&(e=this.data["sep"+i].setTeXclass(e)),this.data[i]&&(e=this.data[i].setTeXclass(e));return this.data.close&&(e=this.data.close.setTeXclass(e)),this.updateTeXclass(this.data.open),this.texClass=t.TEXCLASS.INNER,e}}),t.menclose=t.mbase.Subclass({type:"menclose",inferRow:!0,linebreakContainer:!0,defaults:{mathbackground:t.INHERIT,mathcolor:t.INHERIT,notation:t.NOTATION.LONGDIV,texClass:t.TEXCLASS.ORD},setTeXclass:t.mbase.setSeparateTeXclasses}),t.msubsup=t.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:t.mbase.childEmbellished,Core:t.mbase.childCore,CoreMO:t.mbase.childCoreMO,defaults:{mathbackground:t.INHERIT,mathcolor:t.INHERIT,subscriptshift:"",superscriptshift:"",texClass:t.AUTO},autoDefault:function(e){return"texClass"===e?this.isEmbellished()?this.CoreMO().Get(e):t.TEXCLASS.ORD:0},adjustChild_displaystyle:function(t){return!(t>0)&&this.Get("displaystyle")},adjustChild_scriptlevel:function(t){var e=this.Get("scriptlevel");return t>0&&e++,e},adjustChild_texprimestyle:function(t){return t===this.sub||this.Get("texprimestyle")},setTeXclass:t.mbase.setBaseTeXclasses}),t.msub=t.msubsup.Subclass({type:"msub"}),t.msup=t.msubsup.Subclass({type:"msup",sub:2,sup:1}),t.mmultiscripts=t.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(t){return t%2==1||this.Get("texprimestyle")}}),t.mprescripts=t.mbase.Subclass({type:"mprescripts"}),t.none=t.mbase.Subclass({type:"none"}),t.munderover=t.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:!0,isEmbellished:t.mbase.childEmbellished,Core:t.mbase.childCore,CoreMO:t.mbase.childCoreMO,defaults:{mathbackground:t.INHERIT,mathcolor:t.INHERIT,accent:t.AUTO,accentunder:t.AUTO,align:t.ALIGN.CENTER,texClass:t.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){return"texClass"===e?this.isEmbellished()?this.CoreMO().Get(e):t.TEXCLASS.ORD:"accent"===e&&this.data[this.over]?this.data[this.over].CoreMO().Get("accent"):!("accentunder"!==e||!this.data[this.under])&&this.data[this.under].CoreMO().Get("accent")},adjustChild_displaystyle:function(t){return!(t>0)&&this.Get("displaystyle")},adjustChild_scriptlevel:function(t){var e=this.Get("scriptlevel"),i=this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits");return t!=this.under||!i&&this.Get("accentunder")||e++,t!=this.over||!i&&this.Get("accent")||e++,e},adjustChild_texprimestyle:function(t){return!(t!==this.base||!this.data[this.over])||this.Get("texprimestyle")},setTeXclass:t.mbase.setBaseTeXclasses}),t.munder=t.munderover.Subclass({type:"munder"}),t.mover=t.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]}),t.mtable=t.mbase.Subclass({type:"mtable",defaults:{mathbackground:t.INHERIT,mathcolor:t.INHERIT,align:t.ALIGN.AXIS,rowalign:t.ALIGN.BASELINE,columnalign:t.ALIGN.CENTER,groupalign:"{left}",alignmentscope:!0,columnwidth:t.WIDTH.AUTO,width:t.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:t.LINES.NONE,columnlines:t.LINES.NONE,frame:t.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:!1,equalcolumns:!1,displaystyle:!1,side:t.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:t.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return null!=this.displaystyle?this.displaystyle:this.defaults.displaystyle},inheritFromMe:!0,noInherit:{mover:{align:!0},munder:{align:!0},munderover:{align:!0},mtable:{align:!0,rowalign:!0,columnalign:!0,groupalign:!0,alignmentscope:!0,columnwidth:!0,width:!0,rowspacing:!0,columnspacing:!0,rowlines:!0,columnlines:!0,frame:!0,framespacing:!0,equalrows:!0,equalcolumns:!0,displaystyle:!0,side:!0,minlabelspacing:!0,texClass:!0,useHeight:1}},linebreakContainer:!0,Append:function(){for(var e=0,i=arguments.length;e<i;e++)arguments[e]instanceof t.mtr||arguments[e]instanceof t.mlabeledtr||(arguments[e]=t.mtr(arguments[e]));this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:t.mbase.setSeparateTeXclasses}),t.mtr=t.mbase.Subclass({type:"mtr",defaults:{mathbackground:t.INHERIT,mathcolor:t.INHERIT,rowalign:t.INHERIT,columnalign:t.INHERIT,groupalign:t.INHERIT},inheritFromMe:!0,noInherit:{mrow:{rowalign:!0,columnalign:!0,groupalign:!0},mtable:{rowalign:!0,columnalign:!0,groupalign:!0}},linebreakContainer:!0,Append:function(){for(var e=0,i=arguments.length;e<i;e++)arguments[e]instanceof t.mtd||(arguments[e]=t.mtd(arguments[e]));this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:t.mbase.setSeparateTeXclasses}),t.mtd=t.mbase.Subclass({type:"mtd",inferRow:!0,linebreakContainer:!0,isEmbellished:t.mbase.childEmbellished,Core:t.mbase.childCore,CoreMO:t.mbase.childCoreMO,defaults:{mathbackground:t.INHERIT,mathcolor:t.INHERIT,rowspan:1,columnspan:1,rowalign:t.INHERIT,columnalign:t.INHERIT,groupalign:t.INHERIT},setTeXclass:t.mbase.setSeparateTeXclasses}),t.maligngroup=t.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return!0},defaults:{mathbackground:t.INHERIT,mathcolor:t.INHERIT,groupalign:t.INHERIT},inheritFromMe:!0,noInherit:{mrow:{groupalign:!0},mtable:{groupalign:!0}}}),t.malignmark=t.mbase.Subclass({type:"malignmark",defaults:{mathbackground:t.INHERIT,mathcolor:t.INHERIT,edge:t.SIDE.LEFT},isSpacelike:function(){return!0}}),t.mlabeledtr=t.mtr.Subclass({type:"mlabeledtr"}),t.maction=t.mbase.Subclass({type:"maction",defaults:{mathbackground:t.INHERIT,mathcolor:t.INHERIT,actiontype:t.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||t.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(e){this.Get("actiontype")===t.ACTIONTYPE.TOOLTIP&&this.data[1]&&this.data[1].setTeXclass();var i=this.selected();return e=i.setTeXclass(e),this.updateTeXclass(i),e}}),t.semantics=t.mbase.Subclass({type:"semantics",notParent:!0,isEmbellished:t.mbase.childEmbellished,Core:t.mbase.childCore,CoreMO:t.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:t.mbase.setChildTeXclass,getAnnotation:function(t){var e=MathJax.Hub.config.MathMenu.semanticsAnnotations[t];if(e)for(var i=0,n=this.data.length;i<n;i++){var a=this.data[i].Get("encoding");if(a)for(var s=0,r=e.length;s<r;s++)if(e[s]===a)return this.data[i]}return null}}),t.annotation=t.mbase.Subclass({type:"annotation",isChars:!0,linebreakContainer:!0,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}}),t["annotation-xml"]=t.mbase.Subclass({type:"annotation-xml",linebreakContainer:!0,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}}),t.math=t.mstyle.Subclass({type:"math",defaults:{mathvariant:t.VARIANT.NORMAL,mathsize:t.SIZE.NORMAL,mathcolor:"",mathbackground:t.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:t.AUTO,display:"inline",maxwidth:"",overflow:t.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(.5),scriptminsize:"8px",infixlinebreakstyle:t.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:t.INDENTALIGN.AUTO,indentalignfirst:t.INDENTALIGN.INDENTALIGN,indentshiftfirst:t.INDENTSHIFT.INDENTSHIFT,indentalignlast:t.INDENTALIGN.INDENTALIGN,indentshiftlast:t.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:!1},autoDefault:function(t){return"displaystyle"===t?"block"===this.Get("display"):""},linebreakContainer:!0,setTeXclass:t.mbase.setChildTeXclass,getAnnotation:function(t){return 1!=this.data.length?null:this.data[0].getAnnotation(t)}}),t.chars=t.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}}),t.entity=t.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return"#x"===this.data[0].substr(0,2)?parseInt(this.data[0].substr(2),16):"#"===this.data[0].substr(0,1)?parseInt(this.data[0].substr(1)):0},toString:function(){var t=this.value();return t<=65535?String.fromCharCode(t):(t-=65536,String.fromCharCode(55296+(t>>10),56320+(1023&t)))}}),t.xml=t.mbase.Subclass({type:"xml",Init:function(){return this.div=document.createElement("div"),this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var t=0,e=arguments.length;t<e;t++){var i=this.Import(arguments[t]);this.data.push(i),this.div.appendChild(i)}},Import:function(t){if(document.importNode)return document.importNode(t,!0);var e,i,n;if(1===t.nodeType){for(e=document.createElement(t.nodeName),i=0,n=t.attributes.length;i<n;i++){var a=t.attributes[i];a.specified&&null!=a.nodeValue&&""!=a.nodeValue&&e.setAttribute(a.nodeName,a.nodeValue),"style"===a.nodeName&&(e.style.cssText=a.nodeValue)}t.className&&(e.className=t.className)}else if(3===t.nodeType||4===t.nodeType)e=document.createTextNode(t.nodeValue);else{if(8!==t.nodeType)return document.createTextNode("");e=document.createComment(t.nodeValue)}for(i=0,n=t.childNodes.length;i<n;i++)e.appendChild(this.Import(t.childNodes[i]));return e},value:function(){return this.div},toString:function(){return this.div.innerHTML}}),t.TeXAtom=t.mbase.Subclass({type:"texatom",linebreakContainer:!0,inferRow:!0,notParent:!0,texClass:t.TEXCLASS.ORD,Core:t.mbase.childCore,CoreMO:t.mbase.childCoreMO,isEmbellished:t.mbase.childEmbellished,setTeXclass:function(t){return this.data[0].setTeXclass(),this.adjustTeXclass(t)},adjustTeXclass:t.mo.prototype.adjustTeXclass}),t.NULL=t.mbase().With({type:"null"});var e=t.TEXCLASS,i={ORD:[0,0,e.ORD],ORD11:[1,1,e.ORD],ORD21:[2,1,e.ORD],ORD02:[0,2,e.ORD],ORD55:[5,5,e.ORD],OP:[1,2,e.OP,{largeop:!0,movablelimits:!0,symmetric:!0}],OPFIXED:[1,2,e.OP,{largeop:!0,movablelimits:!0}],INTEGRAL:[0,1,e.OP,{largeop:!0,symmetric:!0}],INTEGRAL2:[1,2,e.OP,{largeop:!0,symmetric:!0}],BIN3:[3,3,e.BIN],BIN4:[4,4,e.BIN],BIN01:[0,1,e.BIN],BIN5:[5,5,e.BIN],TALLBIN:[4,4,e.BIN,{stretchy:!0}],BINOP:[4,4,e.BIN,{largeop:!0,movablelimits:!0}],REL:[5,5,e.REL],REL1:[1,1,e.REL,{stretchy:!0}],REL4:[4,4,e.REL],RELSTRETCH:[5,5,e.REL,{stretchy:!0}],RELACCENT:[5,5,e.REL,{accent:!0}],WIDEREL:[5,5,e.REL,{accent:!0,stretchy:!0}],OPEN:[0,0,e.OPEN,{fence:!0,stretchy:!0,symmetric:!0}],CLOSE:[0,0,e.CLOSE,{fence:!0,stretchy:!0,symmetric:!0}],INNER:[0,0,e.INNER],PUNCT:[0,3,e.PUNCT],ACCENT:[0,0,e.ORD,{accent:!0}],WIDEACCENT:[0,0,e.ORD,{accent:!0,stretchy:!0}]};t.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,e.REL,"BasicLatin"],[160,255,e.ORD,"Latin1Supplement"],[256,383,e.ORD],[384,591,e.ORD],[688,767,e.ORD,"SpacingModLetters"],[768,879,e.ORD,"CombDiacritMarks"],[880,1023,e.ORD,"GreekAndCoptic"],[7680,7935,e.ORD],[8192,8303,e.PUNCT,"GeneralPunctuation"],[8304,8351,e.ORD],[8352,8399,e.ORD],[8400,8447,e.ORD,"CombDiactForSymbols"],[8448,8527,e.ORD,"LetterlikeSymbols"],[8528,8591,e.ORD],[8592,8703,e.REL,"Arrows"],[8704,8959,e.BIN,"MathOperators"],[8960,9215,e.ORD,"MiscTechnical"],[9312,9471,e.ORD],[9472,9631,e.ORD],[9632,9727,e.ORD,"GeometricShapes"],[9984,10175,e.ORD,"Dingbats"],[10176,10223,e.ORD,"MiscMathSymbolsA"],[10224,10239,e.REL,"SupplementalArrowsA"],[10496,10623,e.REL,"SupplementalArrowsB"],[10624,10751,e.ORD,"MiscMathSymbolsB"],[10752,11007,e.BIN,"SuppMathOperators"],[11008,11263,e.ORD,"MiscSymbolsAndArrows"],[119808,120831,e.ORD]],OPTABLE:{prefix:{"\u2200":i.ORD21,"\u2202":i.ORD21,"\u2203":i.ORD21,"\u2207":i.ORD21,"\u220f":i.OP,"\u2210":i.OP,"\u2211":i.OP,"\u2212":i.BIN01,"\u2213":i.BIN01,"\u221a":[1,1,e.ORD,{stretchy:!0}],"\u2220":i.ORD,"\u222b":i.INTEGRAL,"\u222e":i.INTEGRAL,"\u22c0":i.OP,"\u22c1":i.OP,"\u22c2":i.OP,"\u22c3":i.OP,"\u2308":i.OPEN,"\u230a":i.OPEN,"\u27e8":i.OPEN,"\u27ee":i.OPEN,"\u2a00":i.OP,"\u2a01":i.OP,"\u2a02":i.OP,"\u2a04":i.OP,"\u2a06":i.OP,"\xac":i.ORD21,"\xb1":i.BIN01,"(":i.OPEN,"+":i.BIN01,"-":i.BIN01,"[":i.OPEN,"{":i.OPEN,"|":i.OPEN},postfix:{"!":[1,0,e.CLOSE],"&":i.ORD,"\u2032":i.ORD02,"\u203e":i.WIDEACCENT,"\u2309":i.CLOSE,"\u230b":i.CLOSE,"\u23de":i.WIDEACCENT,"\u23df":i.WIDEACCENT,"\u266d":i.ORD02,"\u266e":i.ORD02,"\u266f":i.ORD02,"\u27e9":i.CLOSE,"\u27ef":i.CLOSE,"\u02c6":i.WIDEACCENT,"\u02c7":i.WIDEACCENT,"\u02c9":i.WIDEACCENT,"\u02ca":i.ACCENT,"\u02cb":i.ACCENT,"\u02d8":i.ACCENT,"\u02d9":i.ACCENT,"\u02dc":i.WIDEACCENT,"\u0302":i.WIDEACCENT,"\xa8":i.ACCENT,"\xaf":i.WIDEACCENT,")":i.CLOSE,"]":i.CLOSE,"^":i.WIDEACCENT,_:i.WIDEACCENT,"`":i.ACCENT,"|":i.CLOSE,"}":i.CLOSE,"~":i.WIDEACCENT},infix:{"":i.ORD,"%":[3,3,e.ORD],"\u2022":i.BIN4,"\u2026":i.INNER,"\u2044":i.TALLBIN,"\u2061":i.ORD,"\u2062":i.ORD,"\u2063":[0,0,e.ORD,{linebreakstyle:"after",separator:!0}],"\u2064":i.ORD,"\u2190":i.WIDEREL,"\u2191":i.RELSTRETCH,"\u2192":i.WIDEREL,"\u2193":i.RELSTRETCH,"\u2194":i.WIDEREL,"\u2195":i.RELSTRETCH,"\u2196":i.RELSTRETCH,"\u2197":i.RELSTRETCH,"\u2198":i.RELSTRETCH,"\u2199":i.RELSTRETCH,"\u21a6":i.WIDEREL,"\u21a9":i.WIDEREL,"\u21aa":i.WIDEREL,"\u21bc":i.WIDEREL,"\u21bd":i.WIDEREL,"\u21c0":i.WIDEREL,"\u21c1":i.WIDEREL,"\u21cc":i.WIDEREL,"\u21d0":i.WIDEREL,"\u21d1":i.RELSTRETCH,"\u21d2":i.WIDEREL,"\u21d3":i.RELSTRETCH,"\u21d4":i.WIDEREL,"\u21d5":i.RELSTRETCH,"\u2208":i.REL,"\u2209":i.REL,"\u220b":i.REL,"\u2212":i.BIN4,"\u2213":i.BIN4,"\u2215":i.TALLBIN,"\u2216":i.BIN4,"\u2217":i.BIN4,"\u2218":i.BIN4,"\u2219":i.BIN4,"\u221d":i.REL,"\u2223":i.REL,"\u2225":i.REL,"\u2227":i.BIN4,"\u2228":i.BIN4,"\u2229":i.BIN4,"\u222a":i.BIN4,"\u223c":i.REL,"\u2240":i.BIN4,"\u2243":i.REL,"\u2245":i.REL,"\u2248":i.REL,"\u224d":i.REL,"\u2250":i.REL,"\u2260":i.REL,"\u2261":i.REL,"\u2264":i.REL,"\u2265":i.REL,"\u226a":i.REL,"\u226b":i.REL,"\u227a":i.REL,"\u227b":i.REL,"\u2282":i.REL,"\u2283":i.REL,"\u2286":i.REL,"\u2287":i.REL,"\u228e":i.BIN4,"\u2291":i.REL,"\u2292":i.REL,"\u2293":i.BIN4,"\u2294":i.BIN4,"\u2295":i.BIN4,"\u2296":i.BIN4,"\u2297":i.BIN4,"\u2298":i.BIN4,"\u2299":i.BIN4,"\u22a2":i.REL,"\u22a3":i.REL,"\u22a4":i.ORD55,"\u22a5":i.REL,"\u22a8":i.REL,"\u22c4":i.BIN4,"\u22c5":i.BIN4,"\u22c6":i.BIN4,"\u22c8":i.REL,"\u22ee":i.ORD55,"\u22ef":i.INNER,"\u22f1":[5,5,e.INNER],"\u25b3":i.BIN4,"\u25b5":i.BIN4,"\u25b9":i.BIN4,"\u25bd":i.BIN4,"\u25bf":i.BIN4,"\u25c3":i.BIN4,"\u2758":i.REL,"\u27f5":i.WIDEREL,"\u27f6":i.WIDEREL,"\u27f7":i.WIDEREL,"\u27f8":i.WIDEREL,"\u27f9":i.WIDEREL,"\u27fa":i.WIDEREL,"\u27fc":i.WIDEREL,"\u2a2f":i.BIN4,"\u2a3f":i.BIN4,"\u2aaf":i.REL,"\u2ab0":i.REL,"\xb1":i.BIN4,"\xb7":i.BIN4,"\xd7":i.BIN4,"\xf7":i.BIN4,"*":i.BIN3,"+":i.BIN4,",":[0,3,e.PUNCT,{linebreakstyle:"after",separator:!0}],"-":i.BIN4,".":[3,3,e.ORD],"/":i.ORD11,":":[1,2,e.REL],";":[0,3,e.PUNCT,{linebreakstyle:"after",separator:!0}],"<":i.REL,"=":i.REL,">":i.REL,"?":[1,1,e.CLOSE],"\\":i.ORD,"^":i.ORD11,_:i.ORD11,"|":[2,2,e.ORD,{fence:!0,stretchy:!0,symmetric:!0}],"#":i.ORD,$:i.ORD,".":[0,3,e.PUNCT,{separator:!0}],"\u02b9":i.ORD,"\u0300":i.ACCENT,"\u0301":i.ACCENT,"\u0303":i.WIDEACCENT,"\u0304":i.ACCENT,"\u0306":i.ACCENT,"\u0307":i.ACCENT,"\u0308":i.ACCENT,"\u030c":i.ACCENT,"\u0332":i.WIDEACCENT,"\u0338":i.REL4,"\u2015":[0,0,e.ORD,{stretchy:!0}],"\u2017":[0,0,e.ORD,{stretchy:!0}],"\u2020":i.BIN3,"\u2021":i.BIN3,"\u20d7":i.ACCENT,"\u2111":i.ORD,"\u2113":i.ORD,"\u2118":i.ORD,"\u211c":i.ORD,"\u2205":i.ORD,"\u221e":i.ORD,"\u2305":i.BIN3,"\u2306":i.BIN3,"\u2322":i.REL4,"\u2323":i.REL4,"\u2329":i.OPEN,"\u232a":i.CLOSE,"\u23aa":i.ORD,"\u23af":[0,0,e.ORD,{stretchy:!0}],"\u23b0":i.OPEN,"\u23b1":i.CLOSE,"\u2500":i.ORD,"\u25ef":i.BIN3,"\u2660":i.ORD,"\u2661":i.ORD,"\u2662":i.ORD,"\u2663":i.ORD,"\u3008":i.OPEN,"\u3009":i.CLOSE,"\ufe37":i.WIDEACCENT,"\ufe38":i.WIDEACCENT}}},{OPTYPES:i});var n=t.mo.prototype.OPTABLE;n.infix["^"]=i.WIDEREL,n.infix._=i.WIDEREL,n.prefix["\u2223"]=i.OPEN,n.prefix["\u2225"]=i.OPEN,n.postfix["\u2223"]=i.CLOSE,n.postfix["\u2225"]=i.CLOSE}(MathJax.ElementJax.mml),MathJax.ElementJax.mml.loadComplete("jax.js")},315:function(){MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.2",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:!0,useMathMLspacing:!0,displaystyle:!0,decimalsign:"."}}),MathJax.InputJax.AsciiMath.Register("math/asciimath"),MathJax.InputJax.AsciiMath.loadComplete("config.js")},247:function(){var t,e;!function(t){var e,i=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(t){return t.parent&&t.parent.removeChild(t),this.lastChild&&(this.lastChild.nextSibling=t),this.firstChild||(this.firstChild=t),this.childNodes.push(t),t.parent=this,this.lastChild=t,t},removeChild:function(t){for(var e=0,i=this.childNodes.length;e<i&&this.childNodes[e]!==t;e++);if(e!==i)return this.childNodes.splice(e,1),t===this.firstChild&&(this.firstChild=t.nextSibling),t===this.lastChild&&(this.childNodes.length?this.lastChild=this.childNodes[this.childNodes.length-1]:this.lastChild=null),e&&(this.childNodes[e-1].nextSibling=t.nextSibling),t.nextSibling=t.parent=null,t},replaceChild:function(t,e){for(var i=0,n=this.childNodes.length;i<n&&this.childNodes[i]!==e;i++);return i?this.childNodes[i-1].nextSibling=t:this.firstChild=t,i>=n-1&&(this.lastChild=t),this.childNodes[i]=t,t.nextSibling=e.nextSibling,e.nextSibling=e.parent=null,e},hasChildNodes:function(t){return this.childNodes.length>0},toString:function(){return"{"+this.childNodes.join("")+"}"}}),n={getElementById:!0,createElementNS:function(i,n){var a=e[n]();return"mo"===n&&t.config.useMathMLspacing&&(a.useMMLspacing=128),a},createTextNode:function(t){return e.chars(t).With({nodeValue:t})},createDocumentFragment:function(){return i()}},a={appName:"MathJax"},s="blue",r=!0,o=!0,l=".",u="Microsoft"==a.appName.slice(0,9);function h(t){return u?n.createElement(t):n.createElementNS("http://www.w3.org/1999/xhtml",t)}var p="http://www.w3.org/1998/Math/MathML";function c(t){return u?n.createElement("m:"+t):n.createElementNS(p,t)}function d(t,e){var i;return i=u?n.createElement("m:"+t):n.createElementNS(p,t),e&&i.appendChild(e),i}var m=["\ud835\udc9c","\u212c","\ud835\udc9e","\ud835\udc9f","\u2130","\u2131","\ud835\udca2","\u210b","\u2110","\ud835\udca5","\ud835\udca6","\u2112","\u2133","\ud835\udca9","\ud835\udcaa","\ud835\udcab","\ud835\udcac","\u211b","\ud835\udcae","\ud835\udcaf","\ud835\udcb0","\ud835\udcb1","\ud835\udcb2","\ud835\udcb3","\ud835\udcb4","\ud835\udcb5","\ud835\udcb6","\ud835\udcb7","\ud835\udcb8","\ud835\udcb9","\u212f","\ud835\udcbb","\u210a","\ud835\udcbd","\ud835\udcbe","\ud835\udcbf","\ud835\udcc0","\ud835\udcc1","\ud835\udcc2","\ud835\udcc3","\u2134","\ud835\udcc5","\ud835\udcc6","\ud835\udcc7","\ud835\udcc8","\ud835\udcc9","\ud835\udcca","\ud835\udccb","\ud835\udccc","\ud835\udccd","\ud835\udcce","\ud835\udccf"],f=["\ud835\udd04","\ud835\udd05","\u212d","\ud835\udd07","\ud835\udd08","\ud835\udd09","\ud835\udd0a","\u210c","\u2111","\ud835\udd0d","\ud835\udd0e","\ud835\udd0f","\ud835\udd10","\ud835\udd11","\ud835\udd12","\ud835\udd13","\ud835\udd14","\u211c","\ud835\udd16","\ud835\udd17","\ud835\udd18","\ud835\udd19","\ud835\udd1a","\ud835\udd1b","\ud835\udd1c","\u2128","\ud835\udd1e","\ud835\udd1f","\ud835\udd20","\ud835\udd21","\ud835\udd22","\ud835\udd23","\ud835\udd24","\ud835\udd25","\ud835\udd26","\ud835\udd27","\ud835\udd28","\ud835\udd29","\ud835\udd2a","\ud835\udd2b","\ud835\udd2c","\ud835\udd2d","\ud835\udd2e","\ud835\udd2f","\ud835\udd30","\ud835\udd31","\ud835\udd32","\ud835\udd33","\ud835\udd34","\ud835\udd35","\ud835\udd36","\ud835\udd37"],g=["\ud835\udd38","\ud835\udd39","\u2102","\ud835\udd3b","\ud835\udd3c","\ud835\udd3d","\ud835\udd3e","\u210d","\ud835\udd40","\ud835\udd41","\ud835\udd42","\ud835\udd43","\ud835\udd44","\u2115","\ud835\udd46","\u2119","\u211a","\u211d","\ud835\udd4a","\ud835\udd4b","\ud835\udd4c","\ud835\udd4d","\ud835\udd4e","\ud835\udd4f","\ud835\udd50","\u2124","\ud835\udd52","\ud835\udd53","\ud835\udd54","\ud835\udd55","\ud835\udd56","\ud835\udd57","\ud835\udd58","\ud835\udd59","\ud835\udd5a","\ud835\udd5b","\ud835\udd5c","\ud835\udd5d","\ud835\udd5e","\ud835\udd5f","\ud835\udd60","\ud835\udd61","\ud835\udd62","\ud835\udd63","\ud835\udd64","\ud835\udd65","\ud835\udd66","\ud835\udd67","\ud835\udd68","\ud835\udd69","\ud835\udd6a","\ud835\udd6b"],y=8,E={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:10},x=[{input:"alpha",tag:"mi",output:"\u03b1",tex:null,ttype:0},{input:"beta",tag:"mi",output:"\u03b2",tex:null,ttype:0},{input:"chi",tag:"mi",output:"\u03c7",tex:null,ttype:0},{input:"delta",tag:"mi",output:"\u03b4",tex:null,ttype:0},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:0},{input:"epsi",tag:"mi",output:"\u03b5",tex:"epsilon",ttype:0},{input:"varepsilon",tag:"mi",output:"\u025b",tex:null,ttype:0},{input:"eta",tag:"mi",output:"\u03b7",tex:null,ttype:0},{input:"gamma",tag:"mi",output:"\u03b3",tex:null,ttype:0},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:0},{input:"iota",tag:"mi",output:"\u03b9",tex:null,ttype:0},{input:"kappa",tag:"mi",output:"\u03ba",tex:null,ttype:0},{input:"lambda",tag:"mi",output:"\u03bb",tex:null,ttype:0},{input:"Lambda",tag:"mo",output:"\u039b",tex:null,ttype:0},{input:"lamda",tag:"mi",output:"\u03bb",tex:null,ttype:0},{input:"Lamda",tag:"mo",output:"\u039b",tex:null,ttype:0},{input:"mu",tag:"mi",output:"\u03bc",tex:null,ttype:0},{input:"nu",tag:"mi",output:"\u03bd",tex:null,ttype:0},{input:"omega",tag:"mi",output:"\u03c9",tex:null,ttype:0},{input:"Omega",tag:"mo",output:"\u03a9",tex:null,ttype:0},{input:"phi",tag:"mi",output:"\u03d5",tex:null,ttype:0},{input:"varphi",tag:"mi",output:"\u03c6",tex:null,ttype:0},{input:"Phi",tag:"mo",output:"\u03a6",tex:null,ttype:0},{input:"pi",tag:"mi",output:"\u03c0",tex:null,ttype:0},{input:"Pi",tag:"mo",output:"\u03a0",tex:null,ttype:0},{input:"psi",tag:"mi",output:"\u03c8",tex:null,ttype:0},{input:"Psi",tag:"mi",output:"\u03a8",tex:null,ttype:0},{input:"rho",tag:"mi",output:"\u03c1",tex:null,ttype:0},{input:"sigma",tag:"mi",output:"\u03c3",tex:null,ttype:0},{input:"Sigma",tag:"mo",output:"\u03a3",tex:null,ttype:0},{input:"tau",tag:"mi",output:"\u03c4",tex:null,ttype:0},{input:"theta",tag:"mi",output:"\u03b8",tex:null,ttype:0},{input:"vartheta",tag:"mi",output:"\u03d1",tex:null,ttype:0},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:0},{input:"upsilon",tag:"mi",output:"\u03c5",tex:null,ttype:0},{input:"xi",tag:"mi",output:"\u03be",tex:null,ttype:0},{input:"Xi",tag:"mo",output:"\u039e",tex:null,ttype:0},{input:"zeta",tag:"mi",output:"\u03b6",tex:null,ttype:0},{input:"*",tag:"mo",output:"\u22c5",tex:"cdot",ttype:0},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:0},{input:"***",tag:"mo",output:"\u22c6",tex:"star",ttype:0},{input:"//",tag:"mo",output:"/",tex:null,ttype:0},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:0},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:0},{input:"xx",tag:"mo",output:"\xd7",tex:"times",ttype:0},{input:"|><",tag:"mo",output:"\u22c9",tex:"ltimes",ttype:0},{input:"><|",tag:"mo",output:"\u22ca",tex:"rtimes",ttype:0},{input:"|><|",tag:"mo",output:"\u22c8",tex:"bowtie",ttype:0},{input:"-:",tag:"mo",output:"\xf7",tex:"div",ttype:0},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:y},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:0},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:0},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:0},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:0},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:7},{input:"prod",tag:"mo",output:"\u220f",tex:null,ttype:7},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:0},{input:"^^^",tag:"mo",output:"\u22c0",tex:"bigwedge",ttype:7},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:0},{input:"vvv",tag:"mo",output:"\u22c1",tex:"bigvee",ttype:7},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:0},{input:"nnn",tag:"mo",output:"\u22c2",tex:"bigcap",ttype:7},{input:"uu",tag:"mo",output:"\u222a",tex:"cup",ttype:0},{input:"uuu",tag:"mo",output:"\u22c3",tex:"bigcup",ttype:7},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:0},{input:":=",tag:"mo",output:":=",tex:null,ttype:0},{input:"lt",tag:"mo",output:"<",tex:null,ttype:0},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:0},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:0},{input:"gt",tag:"mo",output:">",tex:null,ttype:0},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:0},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:0},{input:"-<",tag:"mo",output:"\u227a",tex:"prec",ttype:0},{input:"-lt",tag:"mo",output:"\u227a",tex:null,ttype:0},{input:">-",tag:"mo",output:"\u227b",tex:"succ",ttype:0},{input:"-<=",tag:"mo",output:"\u2aaf",tex:"preceq",ttype:0},{input:">-=",tag:"mo",output:"\u2ab0",tex:"succeq",ttype:0},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:0},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:0},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:0},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:0},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:0},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:0},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:0},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:0},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:0},{input:"~",tag:"mo",output:"\u223c",tex:"sim",ttype:0},{input:"prop",tag:"mo",output:"\u221d",tex:"propto",ttype:0},{input:"and",tag:"mtext",output:"and",tex:null,ttype:6},{input:"or",tag:"mtext",output:"or",tex:null,ttype:6},{input:"not",tag:"mo",output:"\xac",tex:"neg",ttype:0},{input:"=>",tag:"mo",output:"\u21d2",tex:"implies",ttype:0},{input:"if",tag:"mo",output:"if",tex:null,ttype:6},{input:"<=>",tag:"mo",output:"\u21d4",tex:"iff",ttype:0},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:0},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:0},{input:"_|_",tag:"mo",output:"\u22a5",tex:"bot",ttype:0},{input:"TT",tag:"mo",output:"\u22a4",tex:"top",ttype:0},{input:"|--",tag:"mo",output:"\u22a2",tex:"vdash",ttype:0},{input:"|==",tag:"mo",output:"\u22a8",tex:"models",ttype:0},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:4},{input:")",tag:"mo",output:")",tex:"right)",ttype:5},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:4},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:5},{input:"{",tag:"mo",output:"{",tex:null,ttype:4},{input:"}",tag:"mo",output:"}",tex:null,ttype:5},{input:"|",tag:"mo",output:"|",tex:null,ttype:9},{input:":|:",tag:"mo",output:"|",tex:null,ttype:0},{input:"|:",tag:"mo",output:"|",tex:null,ttype:4},{input:":|",tag:"mo",output:"|",tex:null,ttype:5},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:4},{input:":)",tag:"mo",output:"\u232a",tex:"rangle",ttype:5},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:4},{input:">>",tag:"mo",output:"\u232a",tex:null,ttype:5},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:4,invisible:!0},{input:":}",tag:"mo",output:":}",tex:null,ttype:5,invisible:!0},{input:"int",tag:"mo",output:"\u222b",tex:null,ttype:0},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:y},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:y},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:y},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:y},{input:"oint",tag:"mo",output:"\u222e",tex:null,ttype:0},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:0},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:0},{input:"+-",tag:"mo",output:"\xb1",tex:"pm",ttype:0},{input:"-+",tag:"mo",output:"\u2213",tex:"mp",ttype:0},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:0},{input:"oo",tag:"mo",output:"\u221e",tex:"infty",ttype:0},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:0},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:0},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:0},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:0},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:0},{input:"/_\\",tag:"mo",output:"\u25b3",tex:"triangle",ttype:0},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:0},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:1,acc:!0},{input:"\\ ",tag:"mo",output:"\xa0",tex:null,ttype:0},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:0},{input:"quad",tag:"mo",output:"\xa0\xa0",tex:null,ttype:0},{input:"qquad",tag:"mo",output:"\xa0\xa0\xa0\xa0",tex:null,ttype:0},{input:"cdots",tag:"mo",output:"\u22ef",tex:null,ttype:0},{input:"vdots",tag:"mo",output:"\u22ee",tex:null,ttype:0},{input:"ddots",tag:"mo",output:"\u22f1",tex:null,ttype:0},{input:"diamond",tag:"mo",output:"\u22c4",tex:null,ttype:0},{input:"square",tag:"mo",output:"\u25a1",tex:null,ttype:0},{input:"|__",tag:"mo",output:"\u230a",tex:"lfloor",ttype:0},{input:"__|",tag:"mo",output:"\u230b",tex:"rfloor",ttype:0},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:0},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:0},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:0},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:0},{input:"QQ",tag:"mo",output:"\u211a",tex:null,ttype:0},{input:"RR",tag:"mo",output:"\u211d",tex:null,ttype:0},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:0},{input:"f",tag:"mi",output:"f",tex:null,ttype:1,func:!0},{input:"g",tag:"mi",output:"g",tex:null,ttype:1,func:!0},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:7},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:7},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:1,func:!0},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:1,func:!0},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:1,func:!0},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:1,func:!0},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:1,func:!0},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:1,func:!0},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:1,func:!0},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:1,func:!0},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:1,func:!0},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:1,func:!0},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:1,func:!0},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:1,func:!0},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:1,func:!0},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:1,func:!0},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:1,func:!0},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:1,func:!0},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:1,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:1,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:1,rewriteleftright:["\u230a","\u230b"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:1,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:1,func:!0},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:1,func:!0},{input:"det",tag:"mo",output:"det",tex:null,ttype:1,func:!0},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:0},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:0},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:1,func:!0},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:1,func:!0},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:0},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:0},{input:"min",tag:"mo",output:"min",tex:null,ttype:7},{input:"max",tag:"mo",output:"max",tex:null,ttype:7},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:1,func:!0},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:1,func:!0},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:1,func:!0},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:1,func:!0},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:1,func:!0},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:1,func:!0},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:1,func:!0},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:1,func:!0},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:1,func:!0},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:1,func:!0},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:1,func:!0},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:1,func:!0},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:1,func:!0},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:1,func:!0},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:1,notexcopy:!0,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:0},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:0},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:0},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:0},{input:">->",tag:"mo",output:"\u21a3",tex:"rightarrowtail",ttype:0},{input:"->>",tag:"mo",output:"\u21a0",tex:"twoheadrightarrow",ttype:0},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:0},{input:"|->",tag:"mo",output:"\u21a6",tex:"mapsto",ttype:0},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:0},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:0},{input:"rArr",tag:"mo",output:"\u21d2",tex:"Rightarrow",ttype:0},{input:"lArr",tag:"mo",output:"\u21d0",tex:"Leftarrow",ttype:0},{input:"hArr",tag:"mo",output:"\u21d4",tex:"Leftrightarrow",ttype:0},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:1},{input:"root",tag:"mroot",output:"root",tex:null,ttype:2},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:2},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:3},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:2},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:2},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:2},{input:"_",tag:"msub",output:"_",tex:null,ttype:3},{input:"^",tag:"msup",output:"^",tex:null,ttype:3},{input:"hat",tag:"mover",output:"^",tex:null,ttype:1,acc:!0},{input:"bar",tag:"mover",output:"\xaf",tex:"overline",ttype:1,acc:!0},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:1,acc:!0},{input:"dot",tag:"mover",output:".",tex:null,ttype:1,acc:!0},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:1,acc:!0},{input:"overarc",tag:"mover",output:"\u23dc",tex:"overparen",ttype:1,acc:!0},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:1,acc:!0},{input:"ubrace",tag:"munder",output:"\u23df",tex:"underbrace",ttype:15,acc:!0},{input:"obrace",tag:"mover",output:"\u23de",tex:"overbrace",ttype:15,acc:!0},{input:"text",tag:"mtext",output:"text",tex:null,ttype:10},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:10},{input:"color",tag:"mstyle",ttype:2},{input:"id",tag:"mrow",ttype:2},{input:"class",tag:"mrow",ttype:2},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:1},E,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:1},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:1},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:1},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:1},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:1,codes:g},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:1,codes:g},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:1,codes:m},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:1,codes:m},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:1},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:1},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:1,codes:f},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:1,codes:f}];function T(t,e){return t.input>e.input?1:-1}var C,b,S,I=[];function N(){var t,e=x.length;for(t=0;t<e;t++)x[t].tex&&x.push({input:x[t].tex,tag:x[t].tag,output:x[t].output,ttype:x[t].ttype,acc:x[t].acc||!1});A()}function A(){var t;for(x.sort(T),t=0;t<x.length;t++)I[t]=x[t].input}function v(t,e){var i;i="\\"==t.charAt(e)&&"\\"!=t.charAt(e+1)&&" "!=t.charAt(e+1)?t.slice(e+1):t.slice(e);for(var n=0;n<i.length&&i.charCodeAt(n)<=32;n+=1);return i.slice(n)}function R(t,e,i){if(0==i){var n,a;for(i=-1,n=t.length;i+1<n;)t[a=i+n>>1]<e?i=a:n=a;return n}for(var s=i;s<t.length&&t[s]<e;s++);return s}function O(t){for(var e,i,n,a=0,s="",r=!0,o=1;o<=t.length&&r;o++)i=t.slice(0,o),(a=R(I,i,a))<I.length&&t.slice(0,I[a].length)==I[a]&&(e=a,o=(s=I[a]).length),r=a<I.length&&t.slice(0,I[a].length)>=I[a];if(b=S,""!=s)return S=x[e].ttype,x[e];S=0,a=1,i=t.slice(0,1);for(var u=!0;"0"<=i&&i<="9"&&a<=t.length;)i=t.slice(a,a+1),a++;if(i==l&&"0"<=(i=t.slice(a,a+1))&&i<="9")for(u=!1,a++;"0"<=i&&i<="9"&&a<=t.length;)i=t.slice(a,a+1),a++;return u&&a>1||a>2?(i=t.slice(0,a-1),n="mn"):(a=2,n=("A">(i=t.slice(0,1))||i>"Z")&&("a">i||i>"z")?"mo":"mi"),"-"==i&&" "!==t.charAt(1)&&3==b?(S=3,{input:i,tag:n,output:i,ttype:1,func:!0}):{input:i,tag:n,output:i,ttype:0}}function L(t){var e;t.hasChildNodes()&&(!t.firstChild.hasChildNodes()||"mrow"!=t.nodeName&&"M:MROW"!=t.nodeName||"("!=(e=t.firstChild.firstChild.nodeValue)&&"["!=e&&"{"!=e||t.removeChild(t.firstChild),!t.lastChild.hasChildNodes()||"mrow"!=t.nodeName&&"M:MROW"!=t.nodeName||")"!=(e=t.lastChild.firstChild.nodeValue)&&"]"!=e&&"}"!=e||t.removeChild(t.lastChild))}function M(t){var e,i,a,s,r,o=n.createDocumentFragment();if(null==(e=O(t=v(t,0)))||5==e.ttype&&C>0)return[null,t];switch(e.ttype==y&&(e=O(t=e.output+v(t,e.input.length))),e.ttype){case 7:case 0:default:return t=v(t,e.input.length),[d(e.tag,n.createTextNode(e.output)),t];case 4:return C++,a=D(t=v(t,e.input.length),!0),C--,"boolean"==typeof e.invisible&&e.invisible?i=d("mrow",a[0]):(i=d("mo",n.createTextNode(e.output)),(i=d("mrow",i)).appendChild(a[0])),[i,a[1]];case 10:return e!=E&&(t=v(t,e.input.length)),-1==(s="{"==t.charAt(0)?t.indexOf("}"):"("==t.charAt(0)?t.indexOf(")"):"["==t.charAt(0)?t.indexOf("]"):e==E?t.slice(1).indexOf('"')+1:0)&&(s=t.length)," "==(r=t.slice(1,s)).charAt(0)&&((i=d("mspace")).setAttribute("width","1ex"),o.appendChild(i)),o.appendChild(d(e.tag,n.createTextNode(r)))," "==r.charAt(r.length-1)&&((i=d("mspace")).setAttribute("width","1ex"),o.appendChild(i)),t=v(t,s+1),[d("mrow",o),t];case 15:case 1:if(null==(a=M(t=v(t,e.input.length)))[0])return[d(e.tag,n.createTextNode(e.output)),t];if("boolean"==typeof e.func&&e.func)return"^"==(r=t.charAt(0))||"_"==r||"/"==r||"|"==r||","==r||1==e.input.length&&e.input.match(/\w/)&&"("!=r?[d(e.tag,n.createTextNode(e.output)),t]:((i=d("mrow",d(e.tag,n.createTextNode(e.output)))).appendChild(a[0]),[i,a[1]]);if(L(a[0]),"sqrt"==e.input)return[d(e.tag,a[0]),a[1]];if(void 0!==e.rewriteleftright)return(i=d("mrow",d("mo",n.createTextNode(e.rewriteleftright[0])))).appendChild(a[0]),i.appendChild(d("mo",n.createTextNode(e.rewriteleftright[1]))),[i,a[1]];if("cancel"==e.input)return(i=d(e.tag,a[0])).setAttribute("notation","updiagonalstrike"),[i,a[1]];if("boolean"==typeof e.acc&&e.acc){i=d(e.tag,a[0]);var l=d("mo",n.createTextNode(e.output));return"vec"==e.input&&("mrow"==a[0].nodeName&&1==a[0].childNodes.length&&null!==a[0].firstChild.firstChild.nodeValue&&1==a[0].firstChild.firstChild.nodeValue.length||null!==a[0].firstChild.nodeValue&&1==a[0].firstChild.nodeValue.length)&&l.setAttribute("stretchy",!1),i.appendChild(l),[i,a[1]]}if(!u&&void 0!==e.codes)for(s=0;s<a[0].childNodes.length;s++)if("mi"==a[0].childNodes[s].nodeName||"mi"==a[0].nodeName){r="mi"==a[0].nodeName?a[0].firstChild.nodeValue:a[0].childNodes[s].firstChild.nodeValue;for(var h=[],p=0;p<r.length;p++)r.charCodeAt(p)>64&&r.charCodeAt(p)<91?h+=e.codes[r.charCodeAt(p)-65]:r.charCodeAt(p)>96&&r.charCodeAt(p)<123?h+=e.codes[r.charCodeAt(p)-71]:h+=r.charAt(p);"mi"==a[0].nodeName?a[0]=d("mo").appendChild(n.createTextNode(h)):a[0].replaceChild(d("mo").appendChild(n.createTextNode(h)),a[0].childNodes[s])}return(i=d(e.tag,a[0])).setAttribute(e.atname,e.atval),[i,a[1]];case 2:if(null==(a=M(t=v(t,e.input.length)))[0])return[d("mo",n.createTextNode(e.input)),t];L(a[0]);var c=M(a[1]);return null==c[0]?[d("mo",n.createTextNode(e.input)),t]:(L(c[0]),["color","class","id"].indexOf(e.input)>=0?("{"==t.charAt(0)?s=t.indexOf("}"):"("==t.charAt(0)?s=t.indexOf(")"):"["==t.charAt(0)&&(s=t.indexOf("]")),r=t.slice(1,s),i=d(e.tag,c[0]),"color"===e.input?i.setAttribute("mathcolor",r):"class"===e.input?i.setAttribute("class",r):"id"===e.input&&i.setAttribute("id",r),[i,c[1]]):("root"!=e.input&&"stackrel"!=e.output||o.appendChild(c[0]),o.appendChild(a[0]),"frac"==e.input&&o.appendChild(c[0]),[d(e.tag,o),c[1]]));case 3:return t=v(t,e.input.length),[d("mo",n.createTextNode(e.output)),t];case 6:return t=v(t,e.input.length),(i=d("mspace")).setAttribute("width","1ex"),o.appendChild(i),o.appendChild(d(e.tag,n.createTextNode(e.output))),(i=d("mspace")).setAttribute("width","1ex"),o.appendChild(i),[d("mrow",o),t];case 9:return C++,a=D(t=v(t,e.input.length),!1),C--,r="",null!=a[0].lastChild&&(r=a[0].lastChild.firstChild.nodeValue),"|"==r&&","!==t.charAt(0)?(i=d("mo",n.createTextNode(e.output)),(i=d("mrow",i)).appendChild(a[0]),[i,a[1]]):(i=d("mo",n.createTextNode("\u2223")),[i=d("mrow",i),t])}}function k(t){var e,i,a,s,r,o;if(i=O(t=v(t,0)),s=(r=M(t))[0],3==(e=O(t=r[1])).ttype&&"/"!=e.input){if(null==(r=M(t=v(t,e.input.length)))[0]?r[0]=d("mo",n.createTextNode("\u25a1")):L(r[0]),t=r[1],o=7==i.ttype||15==i.ttype,"_"==e.input)if("^"==(a=O(t)).input){var l=M(t=v(t,a.input.length));L(l[0]),t=l[1],(s=d(o?"munderover":"msubsup",s)).appendChild(r[0]),s.appendChild(l[0]),s=d("mrow",s)}else(s=d(o?"munder":"msub",s)).appendChild(r[0]);else"^"==e.input&&o?(s=d("mover",s)).appendChild(r[0]):(s=d(e.tag,s)).appendChild(r[0]);void 0!==i.func&&i.func&&3!=(a=O(t)).ttype&&5!=a.ttype&&(i.input.length>1||4==a.ttype)&&(r=k(t),(s=d("mrow",s)).appendChild(r[0]),t=r[1])}return[s,t]}function D(t,e){var i,a,s,r,o=n.createDocumentFragment();do{a=(s=k(t=v(t,0)))[0],3==(i=O(t=s[1])).ttype&&"/"==i.input?(null==(s=k(t=v(t,i.input.length)))[0]?s[0]=d("mo",n.createTextNode("\u25a1")):L(s[0]),t=s[1],L(a),(a=d(i.tag,a)).appendChild(s[0]),o.appendChild(a),i=O(t)):null!=a&&o.appendChild(a)}while((5!=i.ttype&&(9!=i.ttype||e)||0==C)&&null!=i&&""!=i.output);if(5==i.ttype||9==i.ttype){var l=o.childNodes.length;if(l>0&&"mrow"==o.childNodes[l-1].nodeName&&o.childNodes[l-1].lastChild&&o.childNodes[l-1].lastChild.firstChild){var u=o.childNodes[l-1].lastChild.firstChild.nodeValue;if(")"==u||"]"==u){var h=o.childNodes[l-1].firstChild.firstChild.nodeValue;if("("==h&&")"==u&&"}"!=i.output||"["==h&&"]"==u){var p=[],c=!0,m=o.childNodes.length;for(r=0;c&&r<m;r+=2){if(p[r]=[],a=o.childNodes[r],c&&(c="mrow"==a.nodeName&&(r==m-1||"mo"==a.nextSibling.nodeName&&","==a.nextSibling.firstChild.nodeValue)&&a.firstChild.firstChild.nodeValue==h&&a.lastChild.firstChild.nodeValue==u),c)for(var f=0;f<a.childNodes.length;f++)","==a.childNodes[f].firstChild.nodeValue&&(p[r][p[r].length]=f);c&&r>1&&(c=p[r].length==p[r-2].length)}var g=[];if(c=c&&(p.length>1||p[0].length>0)){var y,E,x,T,b=n.createDocumentFragment();for(r=0;r<m;r+=2){for(y=n.createDocumentFragment(),E=n.createDocumentFragment(),x=(a=o.firstChild).childNodes.length,T=0,a.removeChild(a.firstChild),f=1;f<x-1;f++)void 0!==p[r][T]&&f==p[r][T]?(a.removeChild(a.firstChild),"mrow"==a.firstChild.nodeName&&1==a.firstChild.childNodes.length&&"\u2223"==a.firstChild.firstChild.firstChild.nodeValue?(0==r&&g.push("solid"),a.removeChild(a.firstChild),a.removeChild(a.firstChild),f+=2,T++):0==r&&g.push("none"),y.appendChild(d("mtd",E)),T++):E.appendChild(a.firstChild);y.appendChild(d("mtd",E)),0==r&&g.push("none"),o.childNodes.length>2&&(o.removeChild(o.firstChild),o.removeChild(o.firstChild)),b.appendChild(d("mtr",y))}(a=d("mtable",b)).setAttribute("columnlines",g.join(" ")),"boolean"==typeof i.invisible&&i.invisible&&a.setAttribute("columnalign","left"),o.replaceChild(a,o.firstChild)}}}}t=v(t,i.input.length),"boolean"==typeof i.invisible&&i.invisible||(a=d("mo",n.createTextNode(i.output)),o.appendChild(a))}return[o,t]}function P(t,e){var i;return C=0,i=d("mstyle",D((t=(t=(t=t.replace(/&nbsp;/g,"")).replace(/&gt;/g,">")).replace(/&lt;/g,"<")).replace(/^\s+/g,""),!1)[0]),""!=s&&i.setAttribute("mathcolor",s),""!=w&&(i.setAttribute("fontsize",w),i.setAttribute("mathsize",w)),""!=H&&(i.setAttribute("fontfamily",H),i.setAttribute("mathvariant",H)),r&&i.setAttribute("displaystyle","true"),i=d("math",i),o&&i.setAttribute("title",t.replace(/\s+/g," ")),i}o=!1;var H="",w=(s="","");!function(){for(var t=0,e=x.length;t<e;t++)x[t].codes&&delete x[t].codes,x[t].func&&(x[t].tag="mi")}(),t.Augment({AM:{Init:function(){if(r=t.config.displaystyle,l=t.config.decimal||t.config.decimalsign,!t.config.fixphi)for(var n=0,a=x.length;n<a;n++)"phi"===x[n].input&&(x[n].output="\u03c6"),"varphi"===x[n].input&&(x[n].output="\u03d5",n=a);var s;s=(e=MathJax.ElementJax.mml).mbase.prototype.Init,e.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var t=s.apply(this,arguments)||this;return t.childNodes=t.data,t.nodeName=t.type,t},appendChild:function(t){t.parent&&t.parent.removeChild(t);var e=arguments;t.isa(i)&&(e=t.childNodes,t.data=t.childNodes=[],t.firstChild=t.lastChild=null);for(var n=0,a=e.length;n<a;n++)t=e[n],this.lastChild&&(this.lastChild.nextSibling=t),this.firstChild||(this.firstChild=t),this.Append(t),this.lastChild=t;return t},removeChild:function(t){for(var e=0,i=this.childNodes.length;e<i&&this.childNodes[e]!==t;e++);if(e!==i)return this.childNodes.splice(e,1),t===this.firstChild&&(this.firstChild=t.nextSibling),t===this.lastChild&&(this.childNodes.length?this.lastChild=this.childNodes[this.childNodes.length-1]:this.lastChild=null),e&&(this.childNodes[e-1].nextSibling=t.nextSibling),t.nextSibling=t.parent=null,t},replaceChild:function(t,e){for(var i=0,n=this.childNodes.length;i<n&&this.childNodes[i]!==e;i++);return i?this.childNodes[i-1].nextSibling=t:this.firstChild=t,i>=n-1&&(this.lastChild=t),this.SetData(i,t),t.nextSibling=e.nextSibling,e.nextSibling=e.parent=null,e},hasChildNodes:function(t){return this.childNodes.length>0},setAttribute:function(t,e){this[t]=e}}),N()},Augment:function(t){for(var e in t)if(t.hasOwnProperty(e)){switch(e){case"displaystyle":r=t[e];break;case"decimal":decimal=t[e];break;case"parseMath":P=t[e];break;case"parseExpr":D=t[e];break;case"parseIexpr":k=t[e];break;case"parseSexpr":M=t[e];break;case"removeBrackets":L=t[e];break;case"getSymbol":O=t[e];break;case"position":R=t[e];break;case"removeCharsAndBlanks":v=t[e];break;case"createMmlNode":d=t[e];break;case"createElementMathML":c=t[e];break;case"createElementXHTML":h=t[e];break;case"initSymbols":N=t[e];break;case"refreshSymbols":A=t[e];break;case"compareNames":T=t[e]}this[e]=t[e]}},parseMath:P,parseExpr:D,parseIexpr:k,parseSexr:M,removeBrackets:L,getSymbol:O,position:R,removeCharsAndBlanks:v,createMmlNode:d,createElementMathML:c,createElementXHTML:h,initSymbols:N,refreshSymbols:A,compareNames:T,createDocumentFragment:i,document:n,define:function(t,e){x.push({input:t,tag:"mo",output:e,tex:null,ttype:y}),A()},newcommand:function(t,e){x.push({input:t,tag:"mo",output:e,tex:null,ttype:y}),A()},newsymbol:function(t){x.push(t),A()},symbols:x,names:I,TOKEN:{CONST:0,UNARY:1,BINARY:2,INFIX:3,LEFTBRACKET:4,RIGHTBRACKET:5,SPACE:6,UNDEROVER:7,DEFINITION:y,LEFTRIGHT:9,TEXT:10,UNARYUNDEROVER:15}}})}(MathJax.InputJax.AsciiMath),(t=MathJax.InputJax.AsciiMath).Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(!0),postfilterHooks:MathJax.Callback.Hooks(!0),Translate:function(t){var i,n=MathJax.HTML.getScript(t),a={math:n,script:t},s=this.prefilterHooks.Execute(a);if(s)return s;n=a.math;try{i=this.AM.parseMath(n)}catch(t){if(!t.asciimathError)throw t;i=this.formatError(t,n)}return a.math=e(i),this.postfilterHooks.Execute(a),this.postfilterHooks.Execute(a)||a.math},formatError:function(t,i,n){var a=t.message.replace(/\n.*/,"");return MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",a,i,n]),e.Error(a)},Error:function(t){throw MathJax.Hub.Insert(Error(t),{asciimathError:!0})},Startup:function(){e=MathJax.ElementJax.mml,this.AM.Init()}}),t.loadComplete("jax.js")},723:function(t,e){"use strict";MathJax._.components.global.isObject,MathJax._.components.global.combineConfig,MathJax._.components.global.combineDefaults,e.r8=MathJax._.components.global.combineWithMathJax,MathJax._.components.global.MathJax},649:function(t,e){"use strict";Object.defineProperty(e,"__esModule",{value:!0}),e.AbstractFindMath=MathJax._.core.FindMath.AbstractFindMath},309:function(t,e){"use strict";Object.defineProperty(e,"__esModule",{value:!0}),e.AbstractInputJax=MathJax._.core.InputJax.AbstractInputJax},769:function(t,e){"use strict";Object.defineProperty(e,"__esModule",{value:!0}),e.protoItem=MathJax._.core.MathItem.protoItem,e.AbstractMathItem=MathJax._.core.MathItem.AbstractMathItem,e.STATE=MathJax._.core.MathItem.STATE,e.newState=MathJax._.core.MathItem.newState},806:function(t,e){"use strict";e.g=MathJax._.core.MmlTree.MmlFactory.MmlFactory},77:function(t,e){"use strict";Object.defineProperty(e,"__esModule",{value:!0}),e.isObject=MathJax._.util.Options.isObject,e.APPEND=MathJax._.util.Options.APPEND,e.REMOVE=MathJax._.util.Options.REMOVE,e.OPTIONS=MathJax._.util.Options.OPTIONS,e.Expandable=MathJax._.util.Options.Expandable,e.expandable=MathJax._.util.Options.expandable,e.makeArray=MathJax._.util.Options.makeArray,e.keys=MathJax._.util.Options.keys,e.copy=MathJax._.util.Options.copy,e.insert=MathJax._.util.Options.insert,e.defaultOptions=MathJax._.util.Options.defaultOptions,e.userOptions=MathJax._.util.Options.userOptions,e.selectOptions=MathJax._.util.Options.selectOptions,e.selectOptionsFromKeys=MathJax._.util.Options.selectOptionsFromKeys,e.separateOptions=MathJax._.util.Options.separateOptions,e.lookup=MathJax._.util.Options.lookup},720:function(t,e){"use strict";Object.defineProperty(e,"__esModule",{value:!0}),e.sortLength=MathJax._.util.string.sortLength,e.quotePattern=MathJax._.util.string.quotePattern,e.unicodeChars=MathJax._.util.string.unicodeChars,e.unicodeString=MathJax._.util.string.unicodeString,e.isPercent=MathJax._.util.string.isPercent,e.split=MathJax._.util.string.split}},e={};function i(n){var a=e[n];if(void 0!==a)return a.exports;var s=e[n]={exports:{}};return t[n].call(s.exports,s,s.exports,i),s.exports}i.g=function(){if("object"==typeof globalThis)return globalThis;try{return this||new Function("return this")()}catch(t){if("object"==typeof window)return window}}(),function(){"use strict";var t=i(723),e=i(306),n=i(884),a=i(577);MathJax.loader&&MathJax.loader.checkVersion("input/asciimath",e.q,"input"),(0,t.r8)({_:{input:{asciimath_ts:n,asciimath:{FindAsciiMath:a}}}}),MathJax.startup&&(MathJax.startup.registerConstructor("asciimath",n.AsciiMath),MathJax.startup.useInput("asciimath"))}()}();