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/*
* /MathJax-v2/extensions/TeX/AMScd.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/AMScd"]={version:"2.7.7",config:MathJax.Hub.CombineConfig("TeX.CD",{colspace:"5pt",rowspace:"5pt",harrowsize:"2.75em",varrowsize:"1.75em",hideHorizontalLabels:false})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,e=MathJax.InputJax.TeX,d=e.Stack.Item,c=e.Definitions,a=MathJax.Extension["TeX/AMScd"].config;c.environment.CD="CD_env";c.special["@"]="CD_arrow";c.macros.minCDarrowwidth="CD_minwidth";c.macros.minCDarrowheight="CD_minheight";e.Parse.Augment({CD_env:function(f){this.Push(f);return d.array().With({arraydef:{columnalign:"center",columnspacing:a.colspace,rowspacing:a.rowspace,displaystyle:true},minw:this.stack.env.CD_minw||a.harrowsize,minh:this.stack.env.CD_minh||a.varrowsize})},CD_arrow:function(g){var l=this.string.charAt(this.i);if(!l.match(/[><VA.|=]/)){return this.Other(g)}else{this.i++}var o=this.stack.Top();if(!o.isa(d.array)||o.data.length){this.CD_cell(g);o=this.stack.Top()}var q=((o.table.length%2)===1);var i=(o.row.length+(q?0:1))%2;while(i){this.CD_cell(g);i--}var h;var f={minsize:o.minw,stretchy:true},k={minsize:o.minh,stretchy:true,symmetric:true,lspace:0,rspace:0};if(l==="."){}else{if(l==="|"){h=this.mmlToken(b.mo("\u2225").With(k))}else{if(l==="="){h=this.mmlToken(b.mo("=").With(f))}else{var r={">":"\u2192","<":"\u2190",V:"\u2193",A:"\u2191"}[l];var p=this.GetUpTo(g+l,l),m=this.GetUpTo(g+l,l);if(l===">"||l==="<"){h=b.mo(r).With(f);if(!p){p="\\kern "+o.minw}if(p||m){var j={width:"+11mu",lspace:"6mu"};h=b.munderover(this.mmlToken(h));if(p){p=e.Parse(p,this.stack.env).mml();h.SetData(h.over,b.mpadded(p).With(j).With({voffset:".1em"}))}if(m){m=e.Parse(m,this.stack.env).mml();h.SetData(h.under,b.mpadded(m).With(j))}if(a.hideHorizontalLabels){h=b.mpadded(h).With({depth:0,height:".67em"})}}}else{h=r=this.mmlToken(b.mo(r).With(k));if(p||m){h=b.mrow();if(p){h.Append(e.Parse("\\scriptstyle\\llap{"+p+"}",this.stack.env).mml())}h.Append(r.With({texClass:b.TEXCLASS.ORD}));if(m){h.Append(e.Parse("\\scriptstyle\\rlap{"+m+"}",this.stack.env).mml())}}}}}}if(h){this.Push(h)}this.CD_cell(g)},CD_cell:function(f){var g=this.stack.Top();if((g.table||[]).length%2===0&&(g.row||[]).length===0){this.Push(b.mpadded().With({height:"8.5pt",depth:"2pt"}))}this.Push(d.cell().With({isEntry:true,name:f}))},CD_minwidth:function(f){this.stack.env.CD_minw=this.GetDimen(f)},CD_minheight:function(f){this.stack.env.CD_minh=this.GetDimen(f)}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMScd.js");
/*
* /MathJax-v2/extensions/TeX/AMSmath.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/AMSmath"]={version:"2.7.7",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple 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l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var 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f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return 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k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var 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Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
/*
* /MathJax-v2/extensions/TeX/AMSsymbols.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.7"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarro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c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
/*
* /MathJax-v2/extensions/TeX/HTML.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/HTML"]={version:"2.7.7"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=b.Definitions;a.Add({macros:{href:"HREF_attribute","class":"CLASS_attribute",style:"STYLE_attribute",cssId:"ID_attribute"}},null,true);b.Parse.Augment({HREF_attribute:function(e){var d=this.GetArgument(e),c=this.GetArgumentMML(e);this.Push(c.With({href:d}))},CLASS_attribute:function(d){var e=this.GetArgument(d),c=this.GetArgumentMML(d);if(c["class"]!=null){e=c["class"]+" "+e}this.Push(c.With({"class":e}))},STYLE_attribute:function(d){var e=this.GetArgument(d),c=this.GetArgumentMML(d);if(c.style!=null){if(e.charAt(e.length-1)!==";"){e+=";"}e=c.style+" "+e}this.Push(c.With({style:e}))},ID_attribute:function(e){var d=this.GetArgument(e),c=this.GetArgumentMML(e);this.Push(c.With({id:d}))},GetArgumentMML:function(d){var c=this.ParseArg(d);if(c.inferred&&c.data.length==1){c=c.data[0]}else{delete c.inferred}return c}});MathJax.Hub.Startup.signal.Post("TeX HTML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/HTML.js");
/*
* /MathJax-v2/extensions/TeX/action.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/action"]={version:"2.7.7"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;b.Definitions.Add({macros:{toggle:"Toggle",mathtip:"Mathtip",texttip:["Macro","\\mathtip{#1}{\\text{#2}}",2]}},null,true);b.Parse.Augment({Toggle:function(d){var e=[],c;while((c=this.GetArgument(d))!=="\\endtoggle"){e.push(b.Parse(c,this.stack.env).mml())}this.Push(a.maction.apply(a,e).With({actiontype:a.ACTIONTYPE.TOGGLE}))},Mathtip:function(d){var c=this.ParseArg(d),e=this.ParseArg(d);this.Push(a.maction(c,e).With({actiontype:a.ACTIONTYPE.TOOLTIP}))}});MathJax.Hub.Startup.signal.Post("TeX action Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/action.js");
/*
* /MathJax-v2/extensions/TeX/autobold.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/autobold"]={version:"2.7.7"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.InputJax.TeX;a.prefilterHooks.Add(function(d){var c=d.script.parentNode.insertBefore(document.createElement("span"),d.script);c.visibility="hidden";c.style.fontFamily="Times, serif";c.appendChild(document.createTextNode("ABCXYZabcxyz"));var b=c.offsetWidth;c.style.fontWeight="bold";if(b&&c.offsetWidth===b){d.math="\\boldsymbol{"+d.math+"}"}c.parentNode.removeChild(c)});MathJax.Hub.Startup.signal.Post("TeX autobold Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/autobold.js");
/*
* /MathJax-v2/extensions/TeX/autoload-all.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/autoload-all"]={version:"2.7.7"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var h={action:["mathtip","texttip","toggle"],AMSmath:["mathring","nobreakspace","negmedspace","negthickspace","intI","iiiint","idotsint","dddot","ddddot","sideset","boxed","substack","injlim","projlim","varliminf","varlimsup","varinjlim","varprojlim","DeclareMathOperator","operatorname","genfrac","tfrac","dfrac","binom","tbinom","dbinom","cfrac","shoveleft","shoveright","xrightarrow","xleftarrow"],begingroup:["begingroup","endgroup","gdef","global"],cancel:["cancel","bcancel","xcancel","cancelto"],color:["color","textcolor","colorbox","fcolorbox","definecolor"],enclose:["enclose"],extpfeil:["Newextarrow","xlongequal","xmapsto","xtofrom","xtwoheadleftarrow","xtwoheadrightarrow"],mhchem:["ce","cee","cf"]};var c={AMSmath:["subarray","smallmatrix","equation","equation*"],AMScd:["CD"]};var d,g,b,a={macros:{},environment:{}};for(d in h){if(h.hasOwnProperty(d)){if(!MathJax.Extension["TeX/"+d]){var f=h[d];for(g=0,b=f.length;g<b;g++){a.macros[f[g]]=["Extension",d]}}}}for(d in c){if(c.hasOwnProperty(d)){if(!MathJax.Extension["TeX/"+d]){var e=c[d];for(g=0,b=e.length;g<b;g++){a.environment[e[g]]=["ExtensionEnv",null,d]}}}}MathJax.InputJax.TeX.Definitions.Add(a);MathJax.Hub.Startup.signal.Post("TeX autoload-all Ready")});MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/TeX/AMSsymbols.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/TeX/autoload-all.js"]);
/*
* /MathJax-v2/extensions/TeX/bbox.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/bbox"]={version:"2.7.7"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;b.Definitions.Add({macros:{bbox:"BBox"}},null,true);b.Parse.Augment({BBox:function(e){var p=this.GetBrackets(e,""),o=this.ParseArg(e);var k=p.split(/,/),g,d,c;for(var l=0,j=k.length;l<j;l++){var f=k[l].replace(/^\s+/,"").replace(/\s+$/,"");var n=f.match(/^(\.\d+|\d+(\.\d*)?)(pt|em|ex|mu|px|in|cm|mm)$/);if(n){if(g){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Padding",e])}var h=this.BBoxPadding(n[1]+n[3]);if(h){g={height:"+"+h,depth:"+"+h,lspace:h,width:"+"+(2*n[1])+n[3]}}}else{if(f.match(/^([a-z0-9]+|\#[0-9a-f]{6}|\#[0-9a-f]{3})$/i)){if(d){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Background",e])}d=f}else{if(f.match(/^[-a-z]+:/i)){if(c){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Style",e])}c=this.BBoxStyle(f)}else{if(f!==""){b.Error(["InvalidBBoxProperty","'%1' doesn't look like a color, a padding dimension, or a style",f])}}}}}if(g){o=a.mpadded(o).With(g)}if(d||c){o=a.mstyle(o).With({mathbackground:d,style:c})}this.Push(o)},BBoxStyle:function(c){return c},BBoxPadding:function(c){return c}});MathJax.Hub.Startup.signal.Post("TeX bbox Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/bbox.js");
/*
* /MathJax-v2/extensions/TeX/begingroup.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/begingroup"]={version:"2.7.7"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX,b=d.Definitions;var a=MathJax.Object.Subclass({macros:null,environments:null,Init:function(e,f){this.macros=(e||{});this.environments=(f||{})},Find:function(e,f){if(this[f].hasOwnProperty(e)){return this[f][e]}},Def:function(e,g,f){this[f][e]=g},Undef:function(e,f){delete this[f][e]},Merge:function(e){MathJax.Hub.Insert(this.macros,e.macros);MathJax.Hub.Insert(this.environments,e.environments)},MergeGlobals:function(e){var f=this.macros;for(var g in f){if(f.hasOwnProperty(g)&&f[g].global){e.Def(g,f[g],"macros",true);delete f[g].global;delete f[g]}}},Clear:function(g){this.environments={};if(g){this.macros={}}else{var e=this.macros;for(var f in e){if(e.hasOwnProperty(f)&&!e[f].global){delete e[f]}}}return this}});var c=d.nsStack=MathJax.Object.Subclass({stack:null,top:0,isEqn:false,Init:function(e){this.isEqn=e;this.stack=[];if(!e){this.Push(a(b.macros,b.environment))}else{this.Push(a())}},Def:function(e,h,f,g){var i=this.top-1;if(g){while(i>0){this.stack[i].Undef(e,f);i--}if(!MathJax.Object.isArray(h)){h=[h]}if(this.isEqn){h.global=true}}this.stack[i].Def(e,h,f)},Push:function(e){this.stack.push(e);this.top=this.stack.length},Pop:function(){var e;if(this.top>1){e=this.stack[--this.top];if(this.isEqn){this.stack.pop()}}else{if(this.isEqn){this.Clear()}}return e},Find:function(e,g){for(var f=this.top-1;f>=0;f--){var h=this.stack[f].Find(e,g);if(h){return h}}return null},Merge:function(e){e.stack[0].MergeGlobals(this);this.stack[this.top-1].Merge(e.stack[0]);var f=[this.top,this.stack.length-this.top].concat(e.stack.slice(1));this.stack.splice.apply(this.stack,f);this.top=this.stack.length},Reset:function(){this.top=this.stack.length},Clear:function(e){this.stack=[this.stack[0].Clear()];this.top=this.stack.length}},{nsFrame:a});b.Add({macros:{begingroup:"BeginGroup",endgroup:"EndGroup",global:"Global",gdef:["Macro","\\global\\def"]}},null,true);d.Parse.Augment({BeginGroup:function(e){d.eqnStack.Push(a())},EndGroup:function(e){if(d.eqnStack.top>1){d.eqnStack.Pop()}else{if(d.rootStack.top===1){d.Error(["ExtraEndMissingBegin","Extra %1 or missing \\begingroup",e])}else{d.eqnStack.Clear();d.rootStack.Pop()}}},csFindMacro:function(e){return(d.eqnStack.Find(e,"macros")||d.rootStack.Find(e,"macros"))},envFindName:function(e){return(d.eqnStack.Find(e,"environments")||d.rootStack.Find(e,"environments"))},setDef:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"macros",this.stack.env.isGlobal);delete this.stack.env.isGlobal},setEnv:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"environments")},Global:function(e){var f=this.i;var g=this.GetCSname(e);this.i=f;if(g!=="let"&&g!=="def"&&g!=="newcommand"&&g!=="DeclareMathOperator"&&g!=="Newextarrow"){d.Error(["GlobalNotFollowedBy","%1 not followed by \\let, \\def, or \\newcommand",e])}this.stack.env.isGlobal=true}});d.rootStack=c();d.eqnStack=c(true);d.prefilterHooks.Add(function(){d.rootStack.Reset();d.eqnStack.Clear(true)});d.postfilterHooks.Add(function(){d.rootStack.Merge(d.eqnStack)});MathJax.Hub.Startup.signal.Post("TeX begingroup Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/begingroup.js");
/*
* /MathJax-v2/extensions/TeX/boldsymbol.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/boldsymbol"]={version:"2.7.7"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;var c={};c[a.VARIANT.NORMAL]=a.VARIANT.BOLD;c[a.VARIANT.ITALIC]=a.VARIANT.BOLDITALIC;c[a.VARIANT.FRAKTUR]=a.VARIANT.BOLDFRAKTUR;c[a.VARIANT.SCRIPT]=a.VARIANT.BOLDSCRIPT;c[a.VARIANT.SANSSERIF]=a.VARIANT.BOLDSANSSERIF;c["-tex-caligraphic"]="-tex-caligraphic-bold";c["-tex-oldstyle"]="-tex-oldstyle-bold";b.Add({macros:{boldsymbol:"Boldsymbol"}},null,true);d.Parse.Augment({mmlToken:function(f){if(this.stack.env.boldsymbol){var e=f.Get("mathvariant");if(e==null){f.mathvariant=a.VARIANT.BOLD}else{f.mathvariant=(c[e]||e)}}return f},Boldsymbol:function(h){var e=this.stack.env.boldsymbol,f=this.stack.env.font;this.stack.env.boldsymbol=true;this.stack.env.font=null;var g=this.ParseArg(h);this.stack.env.font=f;this.stack.env.boldsymbol=e;this.Push(g)}});MathJax.Hub.Startup.signal.Post("TeX boldsymbol Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/boldsymbol.js");
/*
* /MathJax-v2/extensions/TeX/cancel.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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/*
* /MathJax-v2/extensions/TeX/color.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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/*
* /MathJax-v2/extensions/TeX/enclose.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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/*
* /MathJax-v2/extensions/TeX/extpfeil.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/extpfeil"]={version:"2.7.7"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=b.Definitions;a.Add({macros:{xtwoheadrightarrow:["Extension","AMSmath"],xtwoheadleftarrow:["Extension","AMSmath"],xmapsto:["Extension","AMSmath"],xlongequal:["Extension","AMSmath"],xtofrom:["Extension","AMSmath"],Newextarrow:["Extension","AMSmath"]}},null,true);MathJax.Hub.Register.StartupHook("TeX AMSmath Ready",function(){MathJax.Hub.Insert(a,{macros:{xtwoheadrightarrow:["xArrow",8608,12,16],xtwoheadleftarrow:["xArrow",8606,17,13],xmapsto:["xArrow",8614,6,7],xlongequal:["xArrow",61,7,7],xtofrom:["xArrow",8644,12,12],Newextarrow:"NewExtArrow"}})});b.Parse.Augment({NewExtArrow:function(c){var e=this.GetArgument(c),f=this.GetArgument(c),d=this.GetArgument(c);if(!e.match(/^\\([a-z]+|.)$/i)){b.Error(["NewextarrowArg1","First argument to %1 must be a control sequence name",c])}if(!f.match(/^(\d+),(\d+)$/)){b.Error(["NewextarrowArg2","Second argument to %1 must be two integers separated by a comma",c])}if(!d.match(/^(\d+|0x[0-9A-F]+)$/i)){b.Error(["NewextarrowArg3","Third argument to %1 must be a unicode character number",c])}e=e.substr(1);f=f.split(",");d=parseInt(d);this.setDef(e,["xArrow",d,parseInt(f[0]),parseInt(f[1])])}});MathJax.Hub.Startup.signal.Post("TeX extpfeil Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/extpfeil.js");
/*
* /MathJax-v2/extensions/TeX/mathchoice.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="2.7.7";var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;b.Add({macros:{mathchoice:"MathChoice"}},null,true);d.Parse.Augment({MathChoice:function(f){var i=this.ParseArg(f),e=this.ParseArg(f),g=this.ParseArg(f),h=this.ParseArg(f);this.Push(a.TeXmathchoice(i,e,g,h))}});a.TeXmathchoice=a.mbase.Subclass({type:"TeXmathchoice",notParent:true,choice:function(){if(this.selection!=null){return this.selection}if(this.choosing){return 2}this.choosing=true;var f=0,e=this.getValues("displaystyle","scriptlevel");if(e.scriptlevel>0){f=Math.min(3,e.scriptlevel+1)}else{f=(e.displaystyle?0:1)}var g=this.inherit;while(g&&g.type!=="math"){g=g.inherit}if(g){this.selection=f}this.choosing=false;return f},selected:function(){return this.data[this.choice()]},setTeXclass:function(e){return this.selected().setTeXclass(e)},isSpacelike:function(){return this.selected().isSpacelike()},isEmbellished:function(){return this.selected().isEmbellished()},Core:function(){return this.selected()},CoreMO:function(){return this.selected().CoreMO()},toHTML:function(e){e=this.HTMLcreateSpan(e);e.bbox=this.Core().toHTML(e).bbox;if(e.firstChild&&e.firstChild.style.marginLeft){e.style.marginLeft=e.firstChild.style.marginLeft;e.firstChild.style.marginLeft=""}return e},toSVG:function(){var e=this.Core().toSVG();this.SVGsaveData(e);return e},toCommonHTML:function(e){e=this.CHTMLcreateNode(e);this.CHTMLhandleStyle(e);this.CHTMLhandleColor(e);this.CHTMLaddChild(e,this.choice(),{});return e},toPreviewHTML:function(e){e=this.PHTMLcreateSpan(e);this.PHTMLhandleStyle(e);this.PHTMLhandleColor(e);this.PHTMLaddChild(e,this.choice(),{});return e}});MathJax.Hub.Startup.signal.Post("TeX mathchoice Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mathchoice.js");
/*
* /MathJax-v2/extensions/TeX/mediawiki-texvc.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/mediawiki-texvc"]={version:"2.7.7"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Definitions.Add({macros:{AA:["Macro","\u00c5"],alef:["Macro","\\aleph"],alefsym:["Macro","\\aleph"],Alpha:["Macro","\\mathrm{A}"],and:["Macro","\\land"],ang:["Macro","\\angle"],Bbb:["Macro","\\mathbb"],Beta:["Macro","\\mathrm{B}"],bold:["Macro","\\mathbf"],bull:["Macro","\\bullet"],C:["Macro","\\mathbb{C}"],Chi:["Macro","\\mathrm{X}"],clubs:["Macro","\\clubsuit"],cnums:["Macro","\\mathbb{C}"],Complex:["Macro","\\mathbb{C}"],coppa:["Macro","\u03D9"],Coppa:["Macro","\u03D8"],Dagger:["Macro","\\ddagger"],Digamma:["Macro","\u03DC"],darr:["Macro","\\downarrow"],dArr:["Macro","\\Downarrow"],Darr:["Macro","\\Downarrow"],dashint:["Macro","\\unicodeInt{x2A0D}"],ddashint:["Macro","\\unicodeInt{x2A0E}"],diamonds:["Macro","\\diamondsuit"],empty:["Macro","\\emptyset"],Epsilon:["Macro","\\mathrm{E}"],Eta:["Macro","\\mathrm{H}"],euro:["Macro","\u20AC"],exist:["Macro","\\exists"],geneuro:["Macro","\u20AC"],geneuronarrow:["Macro","\u20AC"],geneurowide:["Macro","\u20AC"],H:["Macro","\\mathbb{H}"],hAar:["Macro","\\Leftrightarrow"],harr:["Macro","\\leftrightarrow"],Harr:["Macro","\\Leftrightarrow"],hearts:["Macro","\\heartsuit"],image:["Macro","\\Im"],infin:["Macro","\\infty"],Iota:["Macro","\\mathrm{I}"],isin:["Macro","\\in"],Kappa:["Macro","\\mathrm{K}"],koppa:["Macro","\u03DF"],Koppa:["Macro","\u03DE"],lang:["Macro","\\langle"],larr:["Macro","\\leftarrow"],Larr:["Macro","\\Leftarrow"],lArr:["Macro","\\Leftarrow"],lrarr:["Macro","\\leftrightarrow"],Lrarr:["Macro","\\Leftrightarrow"],lrArr:["Macro","\\Leftrightarrow"],Mu:["Macro","\\mathrm{M}"],N:["Macro","\\mathbb{N}"],natnums:["Macro","\\mathbb{N}"],Nu:["Macro","\\mathrm{N}"],O:["Macro","\\emptyset"],oint:["Macro","\\unicodeInt{x222E}"],oiint:["Macro","\\unicodeInt{x222F}"],oiiint:["Macro","\\unicodeInt{x2230}"],ointctrclockwise:["Macro","\\unicodeInt{x2233}"],officialeuro:["Macro","\u20AC"],Omicron:["Macro","\\mathrm{O}"],or:["Macro","\\lor"],P:["Macro","\u00B6"],pagecolor:["Macro","",1],part:["Macro","\\partial"],plusmn:["Macro","\\pm"],Q:["Macro","\\mathbb{Q}"],R:["Macro","\\mathbb{R}"],rang:["Macro","\\rangle"],rarr:["Macro","\\rightarrow"],Rarr:["Macro","\\Rightarrow"],rArr:["Macro","\\Rightarrow"],real:["Macro","\\Re"],reals:["Macro","\\mathbb{R}"],Reals:["Macro","\\mathbb{R}"],Rho:["Macro","\\mathrm{P}"],sdot:["Macro","\\cdot"],sampi:["Macro","\u03E1"],Sampi:["Macro","\u03E0"],sect:["Macro","\\S"],spades:["Macro","\\spadesuit"],stigma:["Macro","\u03DB"],Stigma:["Macro","\u03DA"],sub:["Macro","\\subset"],sube:["Macro","\\subseteq"],supe:["Macro","\\supseteq"],Tau:["Macro","\\mathrm{T}"],textvisiblespace:["Macro","\u2423"],thetasym:["Macro","\\vartheta"],uarr:["Macro","\\uparrow"],uArr:["Macro","\\Uparrow"],Uarr:["Macro","\\Uparrow"],unicodeInt:["Macro","\\mathop{\\vcenter{\\mathchoice{\\huge\\unicode{#1}\\,}{\\unicode{#1}}{\\unicode{#1}}{\\unicode{#1}}}\\,}\\nolimits",1],varcoppa:["Macro","\u03D9"],varstigma:["Macro","\u03DB"],varointclockwise:["Macro","\\unicodeInt{x2232}"],vline:["Macro","\\smash{\\large\\lvert}",0],weierp:["Macro","\\wp"],Z:["Macro","\\mathbb{Z}"],Zeta:["Macro","\\mathrm{Z}"]}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mediawiki-texvc.js");
/*
* /MathJax-v2/extensions/TeX/mhchem.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
if(MathJax.Extension["TeX/mhchem"]){MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mhchem.js")}else{MathJax.Extension["TeX/mhchem"]={version:"2.7.7",config:MathJax.Hub.CombineConfig("TeX.mhchem",{legacy:true})};if(!MathJax.Extension["TeX/mhchem"].config.legacy){if(!MathJax.Ajax.config.path.mhchem){MathJax.Ajax.config.path.mhchem=MathJax.Hub.config.root+"/extensions/TeX/mhchem3"}MathJax.Callback.Queue(["Require",MathJax.Ajax,"[mhchem]/mhchem.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/TeX/mhchem.js"])}else{MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=MathJax.Object.Subclass({string:"",i:0,tex:"",TEX:"",atom:false,sup:"",sub:"",presup:"",presub:"",Init:function(c){this.string=c},ParseTable:{"-":"Minus","+":"Plus","(":"Open",")":"Close","[":"Open","]":"Close","<":"Less","^":"Superscript",_:"Subscript","*":"Dot",".":"Dot","=":"Equal","#":"Pound","$":"Math","\\":"Macro"," 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d=this.Match(/^\d+/);if(d){this.sub+=d}}},ParseMath:function(d){this.FinishAtom();this.i++;this.tex+=this.Find(d)},ParseMacro:function(f){this.FinishAtom();this.i++;var d=this.Match(/^([a-z]+|.)/i)||" ";if(d==="sbond"){this.tex+="{-}"}else{if(d==="dbond"){this.tex+="{=}"}else{if(d==="tbond"){this.tex+="{\\equiv}"}else{if(d==="bond"){var e=(this.Match(/^\{.*?\}/)||"");e=e.substr(1,e.length-2);this.tex+="{"+(this.Bonds[e]||"\\text{??}")+"}"}else{if(d==="{"){this.tex+="{\\{"}else{if(d==="}"){this.tex+="\\}}";this.atom=true}else{this.tex+=f+d}}}}}}},ParseSpace:function(d){this.FinishAtom();this.i++},ParseOther:function(d){this.FinishAtom();this.tex+=d;this.i++},AddArrow:function(e){var g=this.Match(/^[CT]\[/);if(g){this.i--;g=g.charAt(0)}var d=this.GetBracket(g),f=this.GetBracket(g);e=this.Arrows[e];if(d||f){if(f){e+="["+f+"]"}e+="{"+d+"}";e="\\mathrel{\\x"+e+"}"}else{e="\\long"+e+" "}this.tex+=e},FinishAtom:function(c){if(this.sup||this.sub||this.presup||this.presub){if(!c&&!this.atom){if(this.tex===""&&!this.sup&&!this.sub){return}if(!this.presup&&!this.presub&&(this.tex===""||this.tex==="{"||(this.tex==="}"&&this.TEX.substr(-1)==="{"))){this.presup=this.sup,this.presub=this.sub;this.sub=this.sup="";this.TEX+=this.tex;this.tex="";return}}if(this.sub&&!this.sup){this.sup="\\Space{0pt}{0pt}{.2em}"}if((this.presup||this.presub)&&this.tex!=="{"){if(!this.presup&&!this.sup){this.presup="\\Space{0pt}{0pt}{.2em}"}this.tex="\\CEprescripts{"+(this.presub||"\\CEnone")+"}{"+(this.presup||"\\CEnone")+"}{"+(this.tex!=="}"?this.tex:"")+"}{"+(this.sub||"\\CEnone")+"}{"+(this.sup||"\\CEnone")+"}"+(this.tex==="}"?"}":"");this.presub=this.presup=""}else{if(this.sup){this.tex+="^{"+this.sup+"}"}if(this.sub){this.tex+="_{"+this.sub+"}"}}this.sup=this.sub=""}this.TEX+=this.tex;this.tex="";this.atom=false},GetBracket:function(e){if(this.string.charAt(this.i)!=="["){return""}this.i++;var d=this.Find("]");if(e==="C"){d="\\ce{"+d+"}"}else{if(e==="T"){if(!d.match(/^\{.*\}$/)){d="{"+d+"}"}d="\\text"+d}}return d},Match:function(d){var c=d.exec(this.string.substr(this.i));if(c){c=c[0];this.i+=c.length}return c},Find:function(h){var d=this.string.length,e=this.i,g=0;while(this.i<d){var f=this.string.charAt(this.i++);if(f===h&&g===0){return this.string.substr(e,this.i-e-1)}if(f==="{"){g++}else{if(f==="}"){if(g){g--}else{b.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}}}}if(g){b.Error(["MissingCloseBrace","Missing close brace"])}b.Error(["NoClosingChar","Can't find closing %1",h])}});MathJax.Extension["TeX/mhchem"].CE=a;b.Definitions.Add({macros:{ce:"CE",cf:"CE",cee:"CE",xleftrightarrow:["Extension","AMSmath"],xrightleftharpoons:["Extension","AMSmath"],xRightleftharpoons:["Extension","AMSmath"],xLeftrightharpoons:["Extension","AMSmath"],longrightleftharpoons:["Macro","\\stackrel{\\textstyle{{-}\\!\\!{\\rightharpoonup}}}{\\smash{{\\leftharpoondown}\\!\\!{-}}}"],longRightleftharpoons:["Macro","\\stackrel{\\textstyle{-}\\!\\!{\\rightharpoonup}}{\\small\\smash\\leftharpoondown}"],longLeftrightharpoons:["Macro","\\stackrel{\\rightharpoonup}{{{\\leftharpoondown}\\!\\!\\textstyle{-}}}"],hyphen:["Macro","\\text{-}"],CEprescripts:"CEprescripts",CEnone:"CEnone",tripledash:["Macro","\\raise3mu{\\tiny\\text{-}\\kern2mu\\text{-}\\kern2mu\\text{-}}"]},environment:{CEstack:["Array",null,null,null,"r",null,"0.001em","T",1]}},null,true);if(!MathJax.Extension["TeX/AMSmath"]){b.Definitions.Add({macros:{xrightarrow:["Extension","AMSmath"],xleftarrow:["Extension","AMSmath"]}},null,true)}MathJax.Hub.Register.StartupHook("TeX AMSmath Ready",function(){b.Definitions.Add({macros:{xleftrightarrow:["xArrow",8596,6,6],xrightleftharpoons:["xArrow",8652,5,7],xRightleftharpoons:["xArrow",8652,5,7],xLeftrightharpoons:["xArrow",8652,5,7]}},null,true)});b.Parse.Augment({CE:function(e){var c=this.GetArgument(e);var d=a(c).Parse();this.string=d+this.string.substr(this.i);this.i=0},CEprescripts:function(f){var d=this.ParseArg(f),i=this.ParseArg(f),h=this.ParseArg(f),g=this.ParseArg(f),e=this.ParseArg(f);var c=MathJax.ElementJax.mml;this.Push(c.mmultiscripts(h,g,e,c.mprescripts(),d,i))},CEnone:function(c){this.Push(MathJax.ElementJax.mml.none())}});MathJax.Hub.Startup.signal.Post("TeX mhchem Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mhchem.js")}};
This diff is collapsed.
/*
* /MathJax-v2/extensions/TeX/newcommand.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/newcommand"]={version:"2.7.7"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=b.Definitions;a.Add({macros:{newcommand:"NewCommand",renewcommand:"NewCommand",newenvironment:"NewEnvironment",renewenvironment:"NewEnvironment",def:"MacroDef",let:"Let"}},null,true);b.Parse.Augment({NewCommand:function(c){var e=this.trimSpaces(this.GetArgument(c)),g=this.GetBrackets(c),d=this.GetBrackets(c),f=this.GetArgument(c);if(e.charAt(0)==="\\"){e=e.substr(1)}if(!e.match(/^(.|[a-z]+)$/i)){b.Error(["IllegalControlSequenceName","Illegal control sequence name for %1",c])}if(g){g=this.trimSpaces(g);if(!g.match(/^[0-9]+$/)){b.Error(["IllegalParamNumber","Illegal number of parameters specified in %1",c])}}this.setDef(e,["Macro",f,g,d])},NewEnvironment:function(d){var f=this.trimSpaces(this.GetArgument(d)),h=this.GetBrackets(d),e=this.GetBrackets(d),g=this.GetArgument(d),c=this.GetArgument(d);if(h){h=this.trimSpaces(h);if(!h.match(/^[0-9]+$/)){b.Error(["IllegalParamNumber","Illegal number of parameters specified in %1",d])}}this.setEnv(f,["BeginEnv",[null,"EndEnv"],g,c,h,e])},MacroDef:function(c){var d=this.GetCSname(c),f=this.GetTemplate(c,"\\"+d),e=this.GetArgument(c);if(!(f instanceof Array)){this.setDef(d,["Macro",e,f])}else{this.setDef(d,["MacroWithTemplate",e].concat(f))}},Let:function(d){var e=this.GetCSname(d),f;var g=this.GetNext();if(g==="="){this.i++;g=this.GetNext()}if(g==="\\"){d=this.GetCSname(d);f=this.csFindMacro(d);if(!f){if(a.mathchar0mi.hasOwnProperty(d)){f=["csMathchar0mi",a.mathchar0mi[d]]}else{if(a.mathchar0mo.hasOwnProperty(d)){f=["csMathchar0mo",a.mathchar0mo[d]]}else{if(a.mathchar7.hasOwnProperty(d)){f=["csMathchar7",a.mathchar7[d]]}else{if(a.delimiter.hasOwnProperty("\\"+d)){f=["csDelimiter",a.delimiter["\\"+d]]}else{return}}}}}}else{f=["Macro",g];this.i++}this.setDef(e,f)},GetCSname:function(e){var f=this.GetNext();if(f!=="\\"){b.Error(["MissingCS","%1 must be followed by a control sequence",e])}var d=this.trimSpaces(this.GetArgument(e));return d.substr(1)},GetTemplate:function(f,e){var j,g=[],h=0;j=this.GetNext();var d=this.i;while(this.i<this.string.length){j=this.GetNext();if(j==="#"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}j=this.string.charAt(++this.i);if(!j.match(/^[1-9]$/)){b.Error(["CantUseHash2","Illegal use of # in template for %1",e])}if(parseInt(j)!=++h){b.Error(["SequentialParam","Parameters for %1 must be numbered sequentially",e])}d=this.i+1}else{if(j==="{"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}if(g.length>0){return[h,g]}else{return h}}}this.i++}b.Error(["MissingReplacementString","Missing replacement string for definition of %1",f])},MacroWithTemplate:function(d,g,h,f){if(h){var c=[];this.GetNext();if(f[0]&&!this.MatchParam(f[0])){b.Error(["MismatchUseDef","Use of %1 doesn't match its definition",d])}for(var e=0;e<h;e++){c.push(this.GetParameter(d,f[e+1]))}g=this.SubstituteArgs(c,g)}this.string=this.AddArgs(g,this.string.slice(this.i));this.i=0;if(++this.macroCount>b.config.MAXMACROS){b.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},BeginEnv:function(g,k,c,j,h){if(j){var e=[];if(h!=null){var d=this.GetBrackets("\\begin{"+name+"}");e.push(d==null?h:d)}for(var f=e.length;f<j;f++){e.push(this.GetArgument("\\begin{"+name+"}"))}k=this.SubstituteArgs(e,k);c=this.SubstituteArgs([],c)}this.string=this.AddArgs(k,this.string.slice(this.i));this.i=0;return g},EndEnv:function(e,g,d,f){var c="\\end{\\end\\"+e.name+"}";this.string=this.AddArgs(d,c+this.string.slice(this.i));this.i=0;return null},GetParameter:function(f,k){if(k==null){return this.GetArgument(f)}var h=this.i,e=0,g=0;while(this.i<this.string.length){var l=this.string.charAt(this.i);if(l==="{"){if(this.i===h){g=1}this.GetArgument(f);e=this.i-h}else{if(this.MatchParam(k)){if(g){h++;e-=2}return this.string.substr(h,e)}else{if(l==="\\"){this.i++;e++;g=0;var d=this.string.substr(this.i).match(/[a-z]+|./i);if(d){this.i+=d[0].length;e=this.i-h}}else{this.i++;e++;g=0}}}}b.Error(["RunawayArgument","Runaway argument for %1?",f])},MatchParam:function(c){if(this.string.substr(this.i,c.length)!==c){return 0}if(c.match(/\\[a-z]+$/i)&&this.string.charAt(this.i+c.length).match(/[a-z]/i)){return 0}this.i+=c.length;return 1}});b.Environment=function(c){a.environment[c]=["BeginEnv",[null,"EndEnv"]].concat([].slice.call(arguments,1));a.environment[c].isUser=true};MathJax.Hub.Startup.signal.Post("TeX newcommand Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/newcommand.js");
/*
* /MathJax-v2/extensions/TeX/noErrors.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(b,e){var d="2.7.7";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");