anki/web/mathjax/jax/input/AsciiMath/jax.js

/*
 *  /MathJax/jax/input/AsciiMath/jax.js
 *
 *  Copyright (c) 2009-2017 The MathJax Consortium
 *
 *  Licensed under the Apache License, Version 2.0 (the "License");
 *  you may not use this file except in compliance with the License.
 *  You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 *  Unless required by applicable law or agreed to in writing, software
 *  distributed under the License is distributed on an "AS IS" BASIS,
 *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 *  See the License for the specific language governing permissions and
 *  limitations under the License.
 */

(function(ab){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ac){if(ac.parent){ac.parent.removeChild(ac)}if(this.lastChild){this.lastChild.nextSibling=ac}if(!this.firstChild){this.firstChild=ac}this.childNodes.push(ac);ac.parent=this;this.lastChild=ac;return ac},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.childNodes[ae]=af;af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ac=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ad=ac.apply(this,arguments)||this;ad.childNodes=ad.data;ad.nodeName=ad.type;return ad},appendChild:function(ag){if(ag.parent){ag.parent.removeChild(ag)}var ae=arguments;if(ag.isa(X)){ae=ag.childNodes;ag.data=ag.childNodes=[];ag.firstChild=ag.lastChild=null}for(var af=0,ad=ae.length;af<ad;af++){ag=ae[af];if(this.lastChild){this.lastChild.nextSibling=ag}if(!this.firstChild){this.firstChild=ag}this.Append(ag);this.lastChild=ag}return ag},removeChild:function(af){for(var ae=0,ad=this.childNodes.length;ae<ad;ae++){if(this.childNodes[ae]===af){break}}if(ae===ad){return}this.childNodes.splice(ae,1);if(af===this.firstChild){this.firstChild=af.nextSibling}if(af===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ae){this.childNodes[ae-1].nextSibling=af.nextSibling}af.nextSibling=af.parent=null;return af},replaceChild:function(ag,ae){for(var af=0,ad=this.childNodes.length;af<ad;af++){if(this.childNodes[af]===ae){break}}if(af){this.childNodes[af-1].nextSibling=ag}else{this.firstChild=ag}if(af>=ad-1){this.lastChild=ag}this.SetData(af,ag);ag.nextSibling=ae.nextSibling;ae.nextSibling=ae.parent=null;return ae},hasChildNodes:function(ad){return(this.childNodes.length>0)},setAttribute:function(ad,ae){this[ad]=ae}})};var Q={};var e={getElementById:true,createElementNS:function(ad,ac){var ae=g[ac]();if(ac==="mo"&&ab.config.useMathMLspacing){ae.useMMLspacing=128}return ae},createTextNode:function(ac){return g.chars(ac).With({nodeValue:ac})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var Z="serif";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ac){if(l){return e.createElement(ac)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ac)}}var W="http://www.w3.org/1998/Math/MathML";function P(ac){if(l){return e.createElement("m:"+ac)}else{return e.createElementNS(W,ac)}}function O(ac,ae){var ad;if(l){ad=e.createElement("m:"+ac)}else{ad=e.createElementNS(W,ac)}if(ae){ad.appendChild(ae)}return ad}function u(ac,ad){z.push({input:ac,tag:"mo",output:ad,tex:null,ttype:V});B()}function r(ac){z.push(ac);B()}var D=["\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"];var H=["\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"];var w=["\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"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:null,ttype:b},{input:")",tag:"mo",output:")",tex:null,ttype:h},{input:"[",tag:"mo",output:"[",tex:null,ttype:b},{input:"]",tag:"mo",output:"]",tex:null,ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ad,ac){if(ad.input>ac.input){return 1}else{return -1}}var S=[];function n(){var ad;var ac=z.length;for(ad=0;ad<ac;ad++){if(z[ad].tex){z.push({input:z[ad].tex,tag:z[ad].tag,output:z[ad].output,ttype:z[ad].ttype,acc:(z[ad].acc||false)})}}B()}function B(){var ac;z.sort(T);for(ac=0;ac<z.length;ac++){S[ac]=z[ac].input}}function I(ac,ad){z.push({input:ac,tag:"mo",output:ad,tex:null,ttype:V});B()}function p(ae,af){var ac;if(ae.charAt(af)=="\\"&&ae.charAt(af+1)!="\\"&&ae.charAt(af+1)!=" "){ac=ae.slice(af+1)}else{ac=ae.slice(af)}for(var ad=0;ad<ac.length&&ac.charCodeAt(ad)<=32;ad=ad+1){}return ac.slice(ad)}function N(ad,ag,ah){if(ah==0){var af,ac;ah=-1;af=ad.length;while(ah+1<af){ac=(ah+af)>>1;if(ad[ac]<ag){ah=ac}else{af=ac}}return af}else{for(var ae=ah;ae<ad.length&&ad[ae]<ag;ae++){}}return ae}function j(ai){var ac=0;var ad=0;var af;var al;var ak;var ag="";var ah=true;for(var ae=1;ae<=ai.length&&ah;ae++){al=ai.slice(0,ae);ad=ac;ac=N(S,al,ad);if(ac<S.length&&ai.slice(0,S[ac].length)==S[ac]){ag=S[ac];af=ac;ae=ag.length}ah=ac<S.length&&ai.slice(0,S[ac].length)>=S[ac]}s=y;if(ag!=""){y=z[af].ttype;return z[af]}y=c;ac=1;al=ai.slice(0,1);var aj=true;while("0"<=al&&al<="9"&&ac<=ai.length){al=ai.slice(ac,ac+1);ac++}if(al==d){al=ai.slice(ac,ac+1);if("0"<=al&&al<="9"){aj=false;ac++;while("0"<=al&&al<="9"&&ac<=ai.length){al=ai.slice(ac,ac+1);ac++}}}if((aj&&ac>1)||ac>2){al=ai.slice(0,ac-1);ak="mn"}else{ac=2;al=ai.slice(0,1);ak=(("A">al||al>"Z")&&("a">al||al>"z")?"mo":"mi")}if(al=="-"&&s==i){y=i;return{input:al,tag:ak,output:al,ttype:A,func:true}}return{input:al,tag:ak,output:al,ttype:c}}function R(ad){var ac;if(!ad.hasChildNodes()){return}if(ad.firstChild.hasChildNodes()&&(ad.nodeName=="mrow"||ad.nodeName=="M:MROW")){ac=ad.firstChild.firstChild.nodeValue;if(ac=="("||ac=="["||ac=="{"){ad.removeChild(ad.firstChild)}}if(ad.lastChild.hasChildNodes()&&(ad.nodeName=="mrow"||ad.nodeName=="M:MROW")){ac=ad.lastChild.firstChild.nodeValue;if(ac==")"||ac=="]"||ac=="}"){ad.removeChild(ad.lastChild)}}}var F,s,y;function G(ai){var ae,ad,al,ag,ak,ah=e.createDocumentFragment();ai=p(ai,0);ae=j(ai);if(ae==null||ae.ttype==h&&F>0){return[null,ai]}if(ae.ttype==V){ai=ae.output+p(ai,ae.input.length);ae=j(ai)}switch(ae.ttype){case L:case c:ai=p(ai,ae.input.length);return[O(ae.tag,e.createTextNode(ae.output)),ai];case b:F++;ai=p(ai,ae.input.length);al=q(ai,true);F--;if(typeof ae.invisible=="boolean"&&ae.invisible){ad=O("mrow",al[0])}else{ad=O("mo",e.createTextNode(ae.output));ad=O("mrow",ad);ad.appendChild(al[0])}return[ad,al[1]];case Y:if(ae!=k){ai=p(ai,ae.input.length)}if(ai.charAt(0)=="{"){ag=ai.indexOf("}")}else{if(ai.charAt(0)=="("){ag=ai.indexOf(")")}else{if(ai.charAt(0)=="["){ag=ai.indexOf("]")}else{if(ae==k){ag=ai.slice(1).indexOf('"')+1}else{ag=0}}}}if(ag==-1){ag=ai.length}ak=ai.slice(1,ag);if(ak.charAt(0)==" "){ad=O("mspace");ad.setAttribute("width","1ex");ah.appendChild(ad)}ah.appendChild(O(ae.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ad=O("mspace");ad.setAttribute("width","1ex");ah.appendChild(ad)}ai=p(ai,ag+1);return[O("mrow",ah),ai];case K:case A:ai=p(ai,ae.input.length);al=G(ai);if(al[0]==null){return[O(ae.tag,e.createTextNode(ae.output)),ai]}if(typeof ae.func=="boolean"&&ae.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ae.input.length==1&&ae.input.match(/\w/)&&ak!="(")){return[O(ae.tag,e.createTextNode(ae.output)),ai]}else{ad=O("mrow",O(ae.tag,e.createTextNode(ae.output)));ad.appendChild(al[0]);return[ad,al[1]]}}R(al[0]);if(ae.input=="sqrt"){return[O(ae.tag,al[0]),al[1]]}else{if(typeof ae.rewriteleftright!="undefined"){ad=O("mrow",O("mo",e.createTextNode(ae.rewriteleftright[0])));ad.appendChild(al[0]);ad.appendChild(O("mo",e.createTextNode(ae.rewriteleftright[1])));return[ad,al[1]]}else{if(ae.input=="cancel"){ad=O(ae.tag,al[0]);ad.setAttribute("notation","updiagonalstrike");return[ad,al[1]]}else{if(typeof ae.acc=="boolean"&&ae.acc){ad=O(ae.tag,al[0]);ad.appendChild(O("mo",e.createTextNode(ae.output)));return[ad,al[1]]}else{if(!l&&typeof ae.codes!="undefined"){for(ag=0;ag<al[0].childNodes.length;ag++){if(al[0].childNodes[ag].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[ag].firstChild.nodeValue);var aj=[];for(var af=0;af<ak.length;af++){if(ak.charCodeAt(af)>64&&ak.charCodeAt(af)<91){aj=aj+ae.codes[ak.charCodeAt(af)-65]}else{if(ak.charCodeAt(af)>96&&ak.charCodeAt(af)<123){aj=aj+ae.codes[ak.charCodeAt(af)-71]}else{aj=aj+ak.charAt(af)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[ag])}}}}ad=O(ae.tag,al[0]);ad.setAttribute(ae.atname,ae.atval);return[ad,al[1]]}}}}case U:ai=p(ai,ae.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ae.input)),ai]}R(al[0]);var ac=G(al[1]);if(ac[0]==null){return[O("mo",e.createTextNode(ae.input)),ai]}R(ac[0]);if(ae.input=="color"){if(ai.charAt(0)=="{"){ag=ai.indexOf("}")}else{if(ai.charAt(0)=="("){ag=ai.indexOf(")")}else{if(ai.charAt(0)=="["){ag=ai.indexOf("]")}}}ak=ai.slice(1,ag);ad=O(ae.tag,ac[0]);ad.setAttribute("mathcolor",ak);return[ad,ac[1]]}if(ae.input=="root"||ae.output=="stackrel"){ah.appendChild(ac[0])}ah.appendChild(al[0]);if(ae.input=="frac"){ah.appendChild(ac[0])}return[O(ae.tag,ah),ac[1]];case i:ai=p(ai,ae.input.length);return[O("mo",e.createTextNode(ae.output)),ai];case a:ai=p(ai,ae.input.length);ad=O("mspace");ad.setAttribute("width","1ex");ah.appendChild(ad);ah.appendChild(O(ae.tag,e.createTextNode(ae.output)));ad=O("mspace");ad.setAttribute("width","1ex");ah.appendChild(ad);return[O("mrow",ah),ai];case m:F++;ai=p(ai,ae.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"){ad=O("mo",e.createTextNode(ae.output));ad=O("mrow",ad);ad.appendChild(al[0]);return[ad,al[1]]}else{ad=O("mo",e.createTextNode("\u2223"));ad=O("mrow",ad);return[ad,ai]}default:ai=p(ai,ae.input.length);return[O(ae.tag,e.createTextNode(ae.output)),ai]}}function t(ai){var ag,aj,ah,af,ac,ae;ai=p(ai,0);aj=j(ai);ac=G(ai);af=ac[0];ai=ac[1];ag=j(ai);if(ag.ttype==i&&ag.input!="/"){ai=p(ai,ag.input.length);ac=G(ai);if(ac[0]==null){ac[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ac[0])}ai=ac[1];ae=(aj.ttype==L||aj.ttype==K);if(ag.input=="_"){ah=j(ai);if(ah.input=="^"){ai=p(ai,ah.input.length);var ad=G(ai);R(ad[0]);ai=ad[1];af=O((ae?"munderover":"msubsup"),af);af.appendChild(ac[0]);af.appendChild(ad[0]);af=O("mrow",af)}else{af=O((ae?"munder":"msub"),af);af.appendChild(ac[0])}}else{if(ag.input=="^"&&ae){af=O("mover",af);af.appendChild(ac[0])}else{af=O(ag.tag,af);af.appendChild(ac[0])}}if(typeof aj.func!="undefined"&&aj.func){ah=j(ai);if(ah.ttype!=i&&ah.ttype!=h){ac=t(ai);af=O("mrow",af);af.appendChild(ac[0]);ai=ac[1]}}}return[af,ai]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ad=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ad=="("&&av==")"&&ao.output!="}"||ad=="["&&av=="]"){var ae=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ae[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ad&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ae[ar][ae[ar].length]=aq}}}if(ap&&ar>1){ap=ae[ar].length==ae[ar-2].length}}ap=ap&&(ae.length>1||ae[0].length>0);if(ap){var af,ac,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){af=e.createDocumentFragment();ac=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ae[ar][an]!="undefined"&&aq==ae[ar][an]){al.removeChild(al.firstChild);af.appendChild(O("mtd",ac));an++}else{ac.appendChild(al.firstChild)}}af.appendChild(O("mtd",ac));if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",af))}al=O("mtable",au);if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ae,ad){var af,ac;F=0;ae=ae.replace(/&nbsp;/g,"");ae=ae.replace(/&gt;/g,">");ae=ae.replace(/&lt;/g,"<");ae=ae.replace(/(Sin|Cos|Tan|Arcsin|Arccos|Arctan|Sinh|Cosh|Tanh|Cot|Sec|Csc|Log|Ln|Abs)/g,function(ag){return ag.toLowerCase()});af=q(ae.replace(/^\s+/g,""),false)[0];ac=O("mstyle",af);if(C!=""){ac.setAttribute("mathcolor",C)}if(Z!=""){ac.setAttribute("fontfamily",Z)}if(o){ac.setAttribute("displaystyle","true")}ac=O("math",ac);if(v){ac.setAttribute("title",ae.replace(/\s+/g," "))}return ac}v=false;Z="";C="";(function(){for(var ad=0,ac=z.length;ad<ac;ad++){if(z[ad].codes){delete z[ad].codes}if(z[ad].func){z[ad].tag="mi"}}})();ab.Augment({AM:{Init:function(){o=ab.config.displaystyle;d=(ab.config.decimal||ab.config.decimalsign);if(!ab.config.fixphi){for(var ad=0,ac=z.length;ad<ac;ad++){if(z[ad].input==="phi"){z[ad].output="\u03C6"}if(z[ad].input==="varphi"){z[ad].output="\u03D5";ad=ac}}}x();n()},Augment:function(ac){for(var ad in ac){if(ac.hasOwnProperty(ad)){switch(ad){case"displaystyle":o=ac[ad];break;case"decimal":decimal=ac[ad];break;case"parseMath":M=ac[ad];break;case"parseExpr":q=ac[ad];break;case"parseIexpr":t=ac[ad];break;case"parseSexpr":G=ac[ad];break;case"removeBrackets":R=ac[ad];break;case"getSymbol":j=ac[ad];break;case"position":N=ac[ad];break;case"removeCharsAndBlanks":p=ac[ad];break;case"createMmlNode":O=ac[ad];break;case"createElementMathML":P=ac[ad];break;case"createElementXHTML":E=ac[ad];break;case"initSymbols":n=ac[ad];break;case"refreshSymbols":B=ac[ad];break;case"compareNames":T=ac[ad];break}this[ad]=ac[ad]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var aa=[Q,J];aa=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);