/************************************************************* * * MathJax/extensions/TeX/mhchem.js * * Implements the \ce command for handling chemical formulas * from the mhchem LaTeX package. * * --------------------------------------------------------------------- * * Copyright (c) 2011-2015 The MathJax Consortium * Copyright (c) 2015-2017 Martin Hensel * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ MathJax.Extension["TeX/mhchem"]={version:"3.2.0"},MathJax.Hub.Register.StartupHook("TeX Jax Ready", function(){var n=MathJax.InputJax.TeX,r=MathJax.Object.Subclass({string:"",Init: function(n){this.string=n},Parse: function(r){try{return o.go(t.go(this.string,r))}catch(r){n.Error(r)}}}),t={};t.go= function(n,r){if(!n)return n;void 0===r&&(r="ce");var o="0",e={};e.pL=0,n=n.replace(/[\u2212\u2013\u2014\u2010]/g,"-"),n=n.replace(/[\u2026]/g,"...");for(var a,u,i=[];;){a!==n?(u=10,a=n):u--;var s=t.c[r],l=s.e.length;n:for(var h=0;h0))return i;if(c.s||(n=f.t),!c.u)break n}}}if(u<=0)throw["MhchemBugU","mhchem bug U. Please report."]}}, t.j= function(n,r){return r?n?n.concat(r):[].concat(r):n},t.w={"~C":/^$/,"~A":/^./,"~B":/^./,"%m":/^\s/,"%l":/^\s(?=[A-Z\\$])/,"~@":/^[a-z]/,x:/^x/,x$:/^x$/,i$:/^i$/,"~M":/^(?:[a-zA-Z\u03B1-\u03C9\u0391-\u03A9?@]|(?:\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))))+/,"@z":/^\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))/,"~P":/^(?:([a-z])(?:$|[^a-zA-Z]))$/,"@%":/^\$(?:([a-z])(?:$|[^a-zA-Z]))\$$/,"~O":/^(?:\$?[\u03B1-\u03C9]\$?|\$?\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega)\s*\$?)(?:\s+|\{\}|(?![a-zA-Z]))$/,"~u":/^[0-9]+/,"@h":/^[+\-]?(?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))/,"@g":/^[+\-]?[0-9]+(?:[.,][0-9]+)?/,"%T": function(n){var r=n.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)(\((?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)\))?(?:([eE]|\s*(\*|x|\\times|\u00D7)\s*10\^)([+\-]?[0-9]+|\{[+\-]?[0-9]+\}))?/);return r&&r[0]?{h:r.splice(1),t:n.substr(r[0].length)}:null},aj: function(n){var r=n.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)\^([+\-]?[0-9]+|\{[+\-]?[0-9]+\})/);return r&&r[0]?{h:r.splice(1),t:n.substr(r[0].length)}:null},"%n": function(n){var r=this["@W"](n,"",/^\([a-z]{1,3}(?=[\),])/,")","");if(r&&r.t.match(/^($|[\s,;\)\]\}])/))return r;var t=n.match(/^(?:\((?:\\ca\s?)?\$[amothc]\$\))/);return t?{h:t[0],t:n.substr(t[0].length)}:null},ae:/^_\{(\([a-z]{1,3}\))\}/,"@K":/^(?:\\\{|\[|\()/,"@c":/^(?:\)|\]|\\\})/,", ":/^[,;]\s*/,",":/^[,;]/,".":/^[.]/,". ":/^([.\u22C5\u00B7\u2022])\s*/,"@i":/^\.\.\.(?=$|[^.])/,"* ":/^([*])\s*/,"@P": function(n){return this["@W"](n,"^{","","","}")},"@L": function(n){return this["@W"](n,"^","$","$","")},"^a":/^\^([0-9]+|[^\\_])/,"@O": function(n){return this["@W"](n,"^",/^\\[a-zA-Z]+\{/,"}","","","{","}","",!0)},"@N": function(n){return this["@W"](n,"^",/^\\[a-zA-Z]+\{/,"}","")},"^\\x":/^\^(\\[a-zA-Z]+)\s*/,"%U":/^\^(-?\d+)/,"'":/^'/,"@Y": function(n){return this["@W"](n,"_{","","","}")},"@Q": function(n){return this["@W"](n,"_","$","$","")},_9:/^_([+\-]?[0-9]+|[^\\])/,"@T": function(n){return this["@W"](n,"_",/^\\[a-zA-Z]+\{/,"}","","","{","}","",!0)},"@S": function(n){return this["@W"](n,"_",/^\\[a-zA-Z]+\{/,"}","")},"@R":/^_(\\[a-zA-Z]+)\s*/,"^_":/^(?:\^(?=_)|\_(?=\^)|[\^_]$)/,"{}":/^\{\}/,"%B": function(n){return this["@W"](n,"","{","}","")},"%A": function(n){return this["@W"](n,"{","","","}")},"@~": function(n){return this["@W"](n,"","$","$","")},"@a": function(n){return this["@W"](n,"${","","","}$")},"@@": function(n){return this["@W"](n,"$","","","$")},"%D":/^[=<>]/,"#":/^[#\u2261]/,"+":/^\+/,"-$":/^-(?=[\s_},;\]\/]|$|\([a-z]+\))/,"-9":/^-(?=[0-9])/,"@f":/^-(?=(?:[spd]|sp)(?:$|[\s,;\)\]\}]))/,"-":/^-/,ai:/^(?:\\pm|\$\\pm\$|\+-|\+\/-)/,"~Q":/^(?:\+|(?:[\-=<>]|<<|>>|\\approx|\$\\approx\$)(?=\s|$|-?[0-9]))/,"~c":/^(?:v|\(v\)|\^|\(\^\))(?=$|[\s,;\)\]\}])/,"@r": function(n){return this["@W"](n,"\\bond{","","","}")},"->":/^(?:<->|<-->|->|<-|<=>>|<<=>|<=>|[\u2192\u27F6\u21CC])/,"@m":/^[CMT](?=\[)/,"@o": function(n){return this["@W"](n,"[","","","]")},al:/^(&|@q|\\hline)\s*/,"@p":/^(?:\\[,\ ;:])/,"@G": function(n){return this["@W"](n,"",/^\\[a-zA-Z]+\{/,"}","","","{","}","",!0)},"@F": function(n){return this["@W"](n,"",/^\\[a-zA-Z]+\{/,"}","")},"@t":/^\\ca(?:\s+|(?![a-zA-Z]))/,"@E":/^(?:\\[a-zA-Z]+\s*|\\[_&{}%])/,"~R":/^(?:[0-9]{1,2}[spdfgh]|[0-9]{0,2}sp)(?=$|[^a-zA-Z])/,"~S":/^[\/~|]/,"@y": function(n){return this["@W"](n,"\\frac{","","","}","{","","","}")},"@A": function(n){return this["@W"](n,"\\overset{","","","}","{","","","}")},"@C": function(n){return this["@W"](n,"\\underset{","","","}","{","","","}")},"@B": function(n){return this["@W"](n,"\\underbrace{","","","}_","{","","","}")},"@w": function(n){return this["@W"](n,"\\color{","","","}")},"@x": function(n){return this["@W"](n,"\\color{","","","}","{","","","}")},"@v": function(n){return this["@W"](n,"\\color","\\","",/^(?=\{)/,"{","","","}")},"@u": function(n){return this["@W"](n,"\\ce{","","","}")},"~Z":/^(?:[+-][IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,"a~":/^(?:[+-]?\s?[IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,"%d":/^[IVX]+/,"@j":/^[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+(?:\$[a-z]\$|[a-z])?$/,"~%": function(n){var r;if(r=n.match(/^(?:(?:(?:\([+\-]?[0-9]+\/[0-9]+\)|[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+|[+\-]?[0-9]+[.,][0-9]+|[+\-]?\.[0-9]+|[+\-]?[0-9]+)(?:[a-z](?=\s*[A-Z]))?)|[+\-]?[a-z](?=\s*[A-Z])|\+(?!\s))/))return{h:r[0],t:n.substr(r[0].length)};var t=this["@W"](n,"","$","$","");return t&&(r=t.h.match(/^\$(?:\(?[+\-]?(?:[0-9]*[a-z]?[+\-])?[0-9]*[a-z](?:[+\-][0-9]*[a-z]?)?\)?|\+|-)\$$/))?{h:r[0],t:n.substr(r[0].length)}:null},"~a": function(n){return this["~%"](n)},"@b":/^(?:[A-Z][a-z]{0,2}|i)(?=,)/,"~E": function(n){if(n.match(/^\([a-z]+\)$/))return null;var r=n.match(/^(?:[a-z]|(?:[0-9\ \+\-\,\.\(\)]+[a-z])+[0-9\ \+\-\,\.\(\)]*|(?:[a-z][0-9\ \+\-\,\.\(\)]+)+[a-z]?)$/);return r?{h:r[0],t:n.substr(r[0].length)}:null},"%z":/^(?:pH|pOH|pC|pK|iPr|iBu)(?=$|[^a-zA-Z])/,"/":/^\s*(\/)\s*/,"//":/^\s*(\/\/)\s*/,"*":/^\s*\*\s*/,"@W": function(n,r,t,o,e,a,u,i,s,l){var h=this["@V"](n,r);if(null===h)return null;if(n=n.substr(h.length),h=this["@V"](n,t),null===h)return null;var p=this["@U"](n,h.length,o||e);if(null===p)return null;var c=n.substring(0,o?p.y:p.z);if(a||u){var f=this["@W"](n.substr(p.y),a,u,i,s);if(null===f)return null;var m=[c,f.h];return l&&(m=m.join("")),{h:m,t:f.t}}return{h:c,t:n.substr(p.y)}}, "@V": function(n,r){if("string"==typeof r)return 0!==n.indexOf(r)?null:r;var t=n.match(r);return t?t[0]:null},"@U": function(n,r,t){for(var o=0;r":{"0|1|2|3":{k:"r=",n:"r"},"a|as":{k:["~T","r="],n:"r"},"*":{k:["~T","r="],n:"r"}}, "+":{o:{k:"~t",n:"d"},"d|D":{k:"d=",n:"d"},q:{k:"d=",n:"qd"},"qd|qD":{k:"d=",n:"qd"},dq:{k:["~T","d="],n:"d"},3:{k:["%j","~T","~Q"],n:"0"}}, "~%":{"0|2":{k:"a=",n:"a"}}, ai:{"0|1|2|a|as":{k:["%j","~T",{l:"~Q",m:"\\pm"}],n:"0"}}, "~Q":{"0|1|2|a|as":{k:["%j","~T","~Q"],n:"0"}}, "-$":{"o|q":{k:["~g","~T"],n:"qd"},d:{k:"d=",n:"d"},D:{k:["~T",{l:"~f",m:"-"}],n:"3"},q:{k:"d=",n:"qd"},qd:{k:"d=",n:"qd"},"qD|dq":{k:["~T",{l:"~f",m:"-"}],n:"3"}}, "-9":{"3|o":{k:["~T",{l:"~J",m:"~I"}],n:"3"}}, "@f":{o:{k:{l:"@e",m:!0},n:"2"},d:{k:{l:"@d",m:!0},n:"2"}}, "-":{"0|1|2":{k:[{l:"~T",m:1},"%E",{l:"~f",m:"-"}],n:"3"},3:{k:{l:"~f",m:"-"}}, a:{k:["~T",{l:"~J",m:"~I"}],n:"2"},as:{k:[{l:"~T",m:2},{l:"~f",m:"-"}],n:"3"},b:{k:"b="},o:{k:"@e",n:"2"},q:{k:"@e",n:"2"},"d|qd|dq":{k:"@d",n:"2"},"D|qD|p":{k:["~T",{l:"~f",m:"-"}],n:"3"}}, "~a":{"1|3":{k:"a=",n:"a"}}, "~M":{"0|1|2|3|a|as|b|p|bp|o":{k:"o=",n:"o"},"q|dq":{k:["~T","o="],n:"o"},"d|D|qd|qD":{k:"~N",n:"o"}}, "~u":{o:{k:"q=",n:"q"},"d|D":{k:"q=",n:"dq"},q:{k:["~T","o="],n:"o"},a:{k:"o=",n:"o"}}, "%l":{"b|p|bp":{}}, "%m":{a:{n:"as"},0:{k:"%j"},"1|2":{k:"%k"},"r|rt|rd|%i|%h":{k:"~T",n:"0"},"*":{k:["~T","%k"],n:"1"}}, al:{"1|2":{k:["~T",{l:"~K",m:"al"}]}, "*":{k:["~T",{l:"~K",m:"al"}],n:"0"}}, "@o":{"r|rt":{k:"%a",n:"rd"},"rd|%i":{k:"%f",n:"%h"}}, "@i":{"o|d|D|dq|qd|qD":{k:["~T",{l:"~f",m:"..."}],n:"3"},"*":{k:[{l:"~T",m:1},{l:"~J",m:"~z"}],n:"1"}}, ". |* ":{"*":{k:["~T",{l:"~J",m:"~~"}],n:"1"}}, "%n":{"*":{k:["~T","%p"],n:"1"}}, "@K":{"a|as|o":{k:["o=","~T","%G"],n:"2"},"0|1|2|3":{k:["o=","~T","%G"],n:"2"},"*":{k:["~T","o=","~T","%G"],n:"2"}}, "@c":{"0|1|2|3|b|p|bp|o":{k:["o=","%H"],n:"o"},"a|as|d|D|q|qd|qD|dq":{k:["~T","o=","%H"],n:"o"}}, ", ":{"*":{k:["~T","~q"],n:"0"}}, "^_":{"*":{}}, "@P|@L":{"0|1|2|as":{k:"b=",n:"b"},p:{k:"b=",n:"bp"},"3|o":{k:"~t",n:"D"},q:{k:"d=",n:"qD"},"d|D|qd|qD|dq":{k:["~T","d="],n:"D"}}, "^a|@O|@N|^\\x|'":{"0|1|2|as":{k:"b=",n:"b"},p:{k:"b=",n:"bp"},"3|o":{k:"~t",n:"d"},q:{k:"d=",n:"qd"},"d|qd|D|qD":{k:"d="},dq:{k:["~T","d="],n:"d"}}, ae:{"d|D|q|qd|qD|dq":{k:["~T","q="],n:"q"}}, "@Y|@Q|_9|@T|@S|@R":{"0|1|2|as":{k:"p=",n:"p"},b:{k:"p=",n:"bp"},"3|o":{k:"q=",n:"q"},"d|D":{k:"q=",n:"dq"},"q|qd|qD|dq":{k:["~T","q="],n:"q"}}, "%D":{"0|1|2|3|a|as|o|q|d|D|qd|qD|dq":{k:[{l:"~T",m:2},"~f"],n:"3"}}, "#":{"0|1|2|3|a|as|o":{k:[{l:"~T",m:2},{l:"~f",m:"#"}],n:"3"}}, "{}":{"*":{k:{l:"~T",m:1},n:"1"}}, "%B":{"0|1|2|3|a|as|b|p|bp":{k:"o=",n:"o"},"o|d|D|q|qd|qD|dq":{k:["~T","o="],n:"o"}}, "@~":{a:{k:"a="},"0|1|2|3|as|b|p|bp|o":{k:"o=",n:"o"},"as|o":{k:"o="},"q|d|D|qd|qD|dq":{k:["~T","o="],n:"o"}}, "@r":{"*":{k:[{l:"~T",m:2},"~f"],n:"3"}}, "@y":{"*":{k:[{l:"~T",m:1},"~H"],n:"3"}}, "@A":{"*":{k:[{l:"~T",m:2},"~X"],n:"3"}}, "@C":{"*":{k:[{l:"~T",m:2},"%y"],n:"3"}}, "@B":{"*":{k:[{l:"~T",m:2},"%w"],n:"3"}}, "@x|@v":{"*":{k:[{l:"~T",m:2},"~k"],n:"3"}}, "@w":{"*":{k:[{l:"~T",m:2},"~m"]}}, "@u":{"*":{k:[{l:"~T",m:2},"ce"],n:"3"}}, "@p":{"*":{k:[{l:"~T",m:1},"~s"],n:"1"}}, "@G|@F|@E":{"0|1|2|3|a|as|b|p|bp|o|c0":{k:["o=","~T"],n:"3"},"*":{k:["~T","o=","~T"],n:"3"}}, "~S":{"*":{k:[{l:"~T",m:1},"~s"],n:"3"}}, "~B":{a:{k:"@Z",n:"o",s:!0},as:{k:[{l:"~T"},"%k"],n:"1",s:!0},"r|rt|rd|%i|%h":{k:["~T"],n:"0",s:!0},"*":{k:["~T","~s"],n:"3"}}}),g:{"~N": function(n,r){var o;if(n.d.match(/^[0-9]+$/)){var e=n.d;n.d=void 0,o=this["~T"](n),n.b=e}else o=this["~T"](n);return t.g["o="](n,r),o},"~t": function(n,r){n.d=r,n["%I"]="kv"},"~g": function(n,r){if(n.yB){var o=t.j(o,this["~T"](n));return o=t.j(o,t.g["~f"](n,r,"-"))}n.d=r},"@e": function(n,r,o){var e=o||this["@X"](n,r),a=t.j(null,this["~T"](n,r));return a=e?t.j(a,{l:"~I"}):t.j(a,t.g["~f"](n,r,"-"))},"@d": function(n,r,o){var e,a=o||this["@X"](n,r);if(a)e=t.j(e,this["~T"](n,r)),e=t.j(e,{l:"~I"});else{var u=t.h("~u",n.d||"");u&&""===u.t?(e=t.j(null,t.g["d="](n,r)),e=t.j(e,this["~T"](n))):(e=t.j(e,this["~T"](n,r)),e=t.j(e,t.g["~f"](n,r,"-")))}return e},"@X": function(n,r){var o=t.h("~R",n.o||""),e=t.h("~O",n.o||""),a=t.h("~P",n.o||""),u=t.h("@%",n.o||""),i="-"===r&&(o&&""===o.t||e||a||u);return!i||n.a||n.b||n.p||n.d||n.q||o||!a||(n.o="$"+n.o+"$"),i},"@Z": function(n,r){n.o=n.a,n.a=void 0},"%k": function(n,r){n.sb=!0},"%j": function(n,r){n.sb=!1},"%E": function(n,r){n.yB=!0},"%F": function(n,r){n.yB=!1},"%G": function(n,r){n.pL++},"%H": function(n,r){n.pL--},"%p": function(n,r){return r=t.go(r,"o"),{l:"%p",p1:r}}, "~q": function(n,r){var t=r.replace(/\s*$/,""),o=t!==r;return o&&0===n.pL?{l:"~n",p1:t}:{l:"~o",p1:t}}, "~T": function(n,r,o){var e;n.r?("M"===n.rdt?n.rd=t.go(n.rd,"%r"):"T"===n.rdt?n.rd=[{l:"%s",p1:n.rd}]:n.rd=t.go(n.rd),"M"===n.rqt?n.rq=t.go(n.rq,"%r"):"T"===n.rqt?n.rq=[{l:"%s",p1:n.rq}]:n.rq=t.go(n.rq),e={l:"~b",r:n.r,rd:n.rd,rq:n.rq}):(e=[],n.a||n.b||n.p||n.o||n.q||n.d||o?(n.sb&&e.push({l:"~D"}),n.o||n.q||n.d||n.b||n.p||2===o?n.o||n.q||n.d||!n.b&&!n.p?n.o&&"kv"===n["%I"]&&t.h("a~",n.d||"")?n["%I"]="~Y":n.o&&"kv"===n["%I"]&&!n.q&&(n["%I"]=void 0):(n.o=n.a,n.d=n.b,n.q=n.p,n.a=n.b=n.p=void 0):(n.o=n.a,n.a=void 0),n.a=t.go(n.a,"a"),n.b=t.go(n.b,"bd"),n.p=t.go(n.p,"pq"),n.o=t.go(n.o,"o"),"~Y"===n["%I"]?n.d=t.go(n.d,"~Y"):n.d=t.go(n.d,"bd"),n.q=t.go(n.q,"pq"),e.push({l:"~h",a:n.a,b:n.b,p:n.p,o:n.o,q:n.q,d:n.d,"%I":n["%I"]})):e=null);for(var a in n)"pL"!==a&&"yB"!==a&&delete n[a];return e},"a%": function(n,r){var o=["{"];return o=t.j(o,t.go(r,"~Y")),o=o.concat(["}"])},"~H": function(n,r){return{l:"~G",p1:t.go(r[0]),p2:t.go(r[1])}}, "~X": function(n,r){return{l:"~W",p1:t.go(r[0]),p2:t.go(r[1])}}, "%y": function(n,r){return{l:"%x",p1:t.go(r[0]),p2:t.go(r[1])}}, "%w": function(n,r){return{l:"%v",p1:t.go(r[0]),p2:t.go(r[1])}}, "~k": function(n,r){return{l:"~j",F:r[0],G:t.go(r[1])}}, "r=": function(n,r){n.r=(n.r||"")+r},"%b": function(n,r){n.rdt=(n.rdt||"")+r},"%a": function(n,r){n.rd=(n.rd||"")+r},"%g": function(n,r){n.rqt=(n.rqt||"")+r},"%f": function(n,r){n.rq=(n.rq||"")+r},"~Q": function(n,r,t){return{l:"~Q",A:t||r}}}}, t.c.a={e:t.C({"~C":{"*":{}}, "@j":{0:{k:"@k"}}, "~A":{0:{n:"1",s:!0}}, "@@":{"*":{k:"%q",n:"1"}}, ",":{"*":{k:{l:"~J",m:"~r"}}}, "~B":{"*":{k:"~s"}}}),g:{}}, t.c.o={e:t.C({"~C":{"*":{}}, "@j":{0:{k:"@k"}}, "~A":{0:{n:"1",s:!0}}, "~M":{"*":{k:"rm"}}, "@t":{"*":{k:{l:"~J",m:"~i"}}}, "@G|@F|@E":{"*":{k:"~s"}}, "@a|@@":{"*":{k:"%r"}}, "%A":{"*":{k:"%C"}}, "~B":{"*":{k:"~s"}}}),g:{}}, t.c["%s"]={e:t.C({"~C":{"*":{k:"~T"}}, "%B":{"*":{k:"%t"}}, "@a|@@":{"*":{k:"%r"}}, "@z":{"*":{k:["~T","rm"]}}, "@p|@G|@F|@E":{"*":{k:["~T","~s"]}}, "~A":{"*":{k:"%t"}}}),g:{"~T": function(n,r){if(n.text){var t={l:"%s",p1:n.text};for(var o in n)delete n[o];return t}return null}}}, t.c.pq={e:t.C({"~C":{"*":{}}, "%n":{"*":{k:"%p"}}, i$:{0:{n:"!f",s:!0}}, "@b":{0:{k:"rm",n:"0"}}, "~E":{0:{n:"f",s:!0}}, "@j":{0:{k:"@k"}}, "~A":{0:{n:"!f",s:!0}}, "@a|@@":{"*":{k:"%r"}}, "%A":{"*":{k:"%s"}}, "~@":{f:{k:"%r"}}, "~M":{"*":{k:"rm"}}, "@h":{"*":{k:"@l"}}, ",":{"*":{k:{l:"~K",m:"~p"}}}, "@x|@v":{"*":{k:"~k"}}, "@w":{"*":{k:"~m"}}, "@u":{"*":{k:"ce"}}, "@p|@G|@F|@E":{"*":{k:"~s"}}, "~B":{"*":{k:"~s"}}}),g:{"%p": function(n,r){return r=t.go(r,"o"),{l:"%K",p1:r}}, "~k": function(n,r){return{l:"~j",F:r[0],G:t.go(r[1],"pq")}}}}, t.c.bd={e:t.C({"~C":{"*":{}}, x$:{0:{n:"!f",s:!0}}, "~E":{0:{n:"f",s:!0}}, "~A":{0:{n:"!f",s:!0}}, "@g":{"*":{k:"@l"}}, ".":{"*":{k:{l:"~J",m:"~y"}}}, "~@":{f:{k:"%r"}}, x:{"*":{k:{l:"~J",m:"@n"}}}, "~M":{"*":{k:"rm"}}, "'":{"*":{k:{l:"~J",m:"%%"}}}, "@a|@@":{"*":{k:"%r"}}, "%A":{"*":{k:"%s"}}, "@x|@v":{"*":{k:"~k"}}, "@w":{"*":{k:"~m"}}, "@u":{"*":{k:"ce"}}, "@p|@G|@F|@E":{"*":{k:"~s"}}, "~B":{"*":{k:"~s"}}}),g:{"~k": function(n,r){return{l:"~j",F:r[0],G:t.go(r[1],"bd")}}}}, t.c["~Y"]={e:t.C({"~C":{"*":{}}, "%d":{"*":{k:"%e"}}, "@a|@@":{"*":{k:"%r"}}, "~A":{"*":{k:"~s"}}}),g:{"%e": function(n,r){return{l:"%d",p1:r}}}}, t.c["%r"]={e:t.C({"~C":{"*":{k:"~T"}}, "@u":{"*":{k:["~T","ce"]}}, "%B|@p|@G|@F|@E":{"*":{k:"o="}}, "~A":{"*":{k:"o="}}}),g:{"~T": function(n,r){if(n.o){var t={l:"%r",p1:n.o};for(var o in n)delete n[o];return t}return null}}}, t.c["%q"]={e:t.C({"~C":{"*":{k:"~T"}}, "@u":{"*":{k:["~T","ce"]}}, "%B|@p|@G|@F|@E":{"*":{k:"o="}}, "-|+":{"*":{k:"%u"}}, "~A":{"*":{k:"o="}}}),g:{"%u": function(n,r){n.o=(n.o||"")+"{"+r+"}"},"~T": function(n,r){if(n.o){var t={l:"%r",p1:n.o};for(var o in n)delete n[o];return t}return null}}}, t.c["@l"]={e:t.C({"~C":{"*":{}}, ",":{"*":{k:"~q"}}, "~A":{"*":{k:"~s"}}}),g:{"~q": function(n,r){return{l:"~r"}}}}, t.c.pu={e:t.C({"~C":{"*":{k:"~T"}}, "@K|@c":{"0|a":{k:"~s"}}, aj:{0:{k:"ak",n:"a"}}, "%T":{0:{k:"%Z",n:"a"}}, "%m":{"0|a":{}}, ai:{"0|a":{k:{l:"~Q",m:"\\pm"},n:"0"}}, "~Q":{"0|a":{k:"~s",n:"0"}}, "//":{d:{k:"o=",n:"/"}}, "/":{d:{k:"o=",n:"/"}}, "%B|~A":{"0|d":{k:"d=",n:"d"},a:{k:["%m","d="],n:"d"},"/|q":{k:"q=",n:"q"}}}),g:{"%Z": function(n,r){var o=[];return"+-"===r[0]||"+/-"===r[0]?o.push("\\pm "):r[0]&&o.push(r[0]),r[1]&&(o=t.j(o,t.go(r[1],"%X")),r[2]&&(r[2].match(/[,.]/)?o=t.j(o,t.go(r[2],"%X")):o.push(r[2])),r[3]=r[4]||r[3],r[3]&&(r[3]=r[3].trim(),"e"===r[3]||"*"===r[3].substr(0,1)?o.push({l:"%N"}):o.push({l:"%P"}))),r[3]&&o.push("10^{"+r[5]+"}"),o},ak: function(n,r){var o=[];return"+-"===r[0]||"+/-"===r[0]?o.push("\\pm "):r[0]&&o.push(r[0]),o=t.j(o,t.go(r[1],"%X")),o.push("^{"+r[2]+"}"),o},"~Q": function(n,r,t){return{l:"~Q",A:t||r}}, "%m": function(n,r){return{l:"%Q"}}, "~T": function(n,r){var o,e=t.h("%A",n.d||"");e&&""===e.t&&(n.d=e.h);var a=t.h("%A",n.q||"");a&&""===a.t&&(n.q=a.h),n.d&&(n.d=n.d.replace(/\u00B0C|\^oC|\^{o}C/g,"{}^{\\circ}C"),n.d=n.d.replace(/\u00B0F|\^oF|\^{o}F/g,"{}^{\\circ}F")),n.q?(n.d=t.go(n.d,"pu"),n.q=n.q.replace(/\u00B0C|\^oC|\^{o}C/g,"{}^{\\circ}C"),n.q=n.q.replace(/\u00B0F|\^oF|\^{o}F/g,"{}^{\\circ}F"),n.q=t.go(n.q,"pu"),"//"===n.o?o={l:"%S",p1:n.d,p2:n.q}:(o=n.d,o=n.d.length>1||n.q.length>1?t.j(o,{l:"%V"}):t.j(o,{l:"/"}),o=t.j(o,n.q))):o=t.go(n.d,"%R");for(var u in n)delete n[u];return o}}}, t.c["%R"]={e:t.C({"~C":{"*":{k:"~T"}}, "*":{"*":{k:["~T","%N"],n:"0"}}, "@E":{"*":{k:"%c"},n:"1"},"%m":{"*":{k:["~T","%m"],n:"0"}}, "@P|%U":{1:{k:"%U"}}, "@h":{0:{k:"%c",n:"0"},1:{k:"%U",n:"0"}}, "%B|~A":{"*":{k:"%c",n:"1"}}}),g:{"%N": function(n,r){return{l:"%O"}}, "%U": function(n,r){n.rm+="^{"+r+"}"},"%m": function(n,r){return{l:"ah"}}, "~T": function(n,r){var o;if(n.rm){var e=t.h("%A",n.rm||"");o=e&&""===e.t?t.go(e.h,"pu"):{l:"rm",p1:n.rm}}for(var a in n)delete n[a];return o}}}, t.c["%X"]={e:t.C({"~C":{0:{k:"~U"},o:{k:"~V"}}, ",":{0:{k:["~U","~q"],n:"o"}}, ".":{0:{k:["~U","~s"],n:"o"}}, "~A":{"*":{k:"%t"}}}),g:{"~q": function(n,r){return{l:"~r"}}, "~U": function(n,r){var t=[];if(n.text.length>4){var o=n.text.length%3;0===o&&(o=3);for(var e=n.text.length-3;e>0;e-=3)t.push(n.text.substr(e,3)),t.push({l:"%W"});t.push(n.text.substr(0,o)),t.reverse()}else t.push(n.text);for(var a in n)delete n[a];return t},"~V": function(n,r){var t=[];if(n.text.length>4){for(var o=n.text.length-3,e=0;e"===n.r||"<=>>"===n.r||"<<=>"===n.r||"<-->"===n.r?(r="\\long"+r,n.rd&&(r="\\overset{"+n.rd+"}{"+r+"}"),n.rq&&(r="\\underset{\\lower7mu{"+n.rq+"}}{"+r+"}"),r=" {}\\mathrel{"+r+"}{} "):(n.rq&&(r+="[{"+n.rq+"}]"),r+="{"+n.rd+"}",r=" {}\\mathrel{\\x"+r+"}{} "):r=" {}\\mathrel{\\long"+r+"}{} ",r},"~Q": function(n){return o.K[n.A]}}, J:{"->":"rightarrow","\u2192":"rightarrow","\u27f6":"rightarrow","<-":"leftarrow","<->":"leftrightarrow","<-->":"leftrightarrows","<=>":"rightleftharpoons","\u21cc":"rightleftharpoons","<=>>":"Rightleftharpoons","<<=>":"Leftrightharpoons"},I:{"-":"{-}",1:"{-}","=":"{=}",2:"{=}","#":"{\\equiv}",3:"{\\equiv}","~":"{\\tripledash}","~-":"{\\rlap{\\lower.1em{-}}\\raise.1em{\\tripledash}}","~=":"{\\rlap{\\lower.2em{-}}\\rlap{\\raise.2em{\\tripledash}}-}","~--":"{\\rlap{\\lower.2em{-}}\\rlap{\\raise.2em{\\tripledash}}-}","-~-":"{\\rlap{\\lower.2em{-}}\\rlap{\\raise.2em{-}}\\tripledash}","...":"{{\\cdot}{\\cdot}{\\cdot}}","....":"{{\\cdot}{\\cdot}{\\cdot}{\\cdot}}","->":"{\\rightarrow}","<-":"{\\leftarrow}","<":"{<}",">":"{>}"},L:{"%m":" ","~D":"~","%Q":"~",ah:"\\mkern3mu ","%W":"\\mkern2mu ","~r":"{,}","~n":"{{0}}\\mkern6mu ","~o":"{{0}}\\mkern3mu ","~p":"{{0}}\\mkern1mu ","~I":"\\text{-}","~~":"\\,{\\cdot}\\,","~y":"\\mkern1mu \\bullet\\mkern1mu ","@n":"{\\times}","%%":"\\prime ","%N":"\\cdot ","%O":"\\mkern1mu{\\cdot}\\mkern1mu ","%P":"\\times ","~i":"{\\sim}","^":"uparrow",v:"downarrow","~z":"\\ldots ","/":"/","%V":"\\,/\\,",al:"{0} "},K:{"+":" {}+{} ","-":" {}-{} ","=":" {}={} ","<":" {}<{} ",">":" {}>{} ","<<":" {}\\ll{} ",">>":" {}\\gg{} ","\\pm":" {}\\pm{} ","\\approx":" {}\\approx{} ","$\\approx$":" {}\\approx{} ",v:" \\downarrow{} ","(v)":" \\downarrow{} ","^":" \\uparrow{} ","(^)":" \\uparrow{} "},go: function(n,r){if(!n)return n;for(var t="",o=!1,e=0;e