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k,n,l,m=this.stack.Top();if(m.type==="prime"){l=m.data[0];n=m.data[1];this.stack.Pop()}else{l=this.stack.Prev();if(!l){l=h.mi("")}}if(l.isEmbellishedWrapper){l=l.data[0].data[0]}if(l.type==="msubsup"){if(l.data[l.sup]){d.Error("Double exponent: use braces to clarify")}k=l.sup}else{if(l.movesupsub){if(l.type!=="munderover"||l.data[l.over]){if(l.movablelimits&&l.isa(h.mi)){l=this.mi2mo(l)}l=h.munderover(l,null,null).With({movesupsub:true})}k=l.over}else{l=h.msubsup(l,null,null);k=l.sup}}this.Push(b.subsup(l).With({position:k,primes:n}))},Subscript:function(o){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var k,n,l,m=this.stack.Top();if(m.type==="prime"){l=m.data[0];n=m.data[1];this.stack.Pop()}else{l=this.stack.Prev();if(!l){l=h.mi("")}}if(l.isEmbellishedWrapper){l=l.data[0].data[0]}if(l.type==="msubsup"){if(l.data[l.sub]){d.Error("Double subscripts: use braces to clarify")}k=l.sub}else{if(l.movesupsub){if(l.type!=="munderover"||l.data[l.under]){if(l.movablelimits&&l.isa(h.mi)){l=this.mi2mo(l)}l=h.munderover(l,null,null).With({movesupsub:true})}k=l.under}else{l=h.msubsup(l,null,null);k=l.sub}}this.Push(b.subsup(l).With({position:k,primes:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(m){var l=this.stack.Prev();if(!l){l=h.mi()}if(l.type==="msubsup"&&l.data[l.sup]){d.Error("Prime causes double exponent: use braces to clarify")}var k="";this.i--;do{k+=this.PRIME;this.i++,m=this.GetNext()}while(m==="'"||m===this.SMARTQUOTE);k=["","\u2032","\u2033","\u2034","\u2057"][k.length]||k;this.Push(b.prime(l,this.mmlToken(h.mo(k))))},mi2mo:function(k){var l=h.mo();l.Append.apply(l,k.data);var m;for(m in l.defaults){if(l.defaults.hasOwnProperty(m)&&k[m]!=null){l[m]=k[m]}}for(m in h.copyAttributes){if(h.copyAttributes.hasOwnProperty(m)&&k[m]!=null){l[m]=k[m]}}return l},Comment:function(k){while(this.id.config.MAXMACROS){d.Error("MathJax maximum macro 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k=b.begin().With({name:m,end:n[1],parse:this});if(n[0]&&this[n[0]]){k=this[n[0]].apply(this,[k].concat(n.slice(2)))}this.Push(k)},End:function(k){this.Push(b.end().With({name:this.GetArgument(k)}))},envFindName:function(k){return f.environment[k]},Equation:function(k,l){return l},ExtensionEnv:function(l,k){this.Extension(l.name,k,"environment")},Array:function(l,n,s,q,r,m,k,o){if(!q){q=this.GetArgument("\\begin{"+l.name+"}")}var t=("c"+q).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");q=q.replace(/[^clr]/g,"").split("").join(" ");q=q.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var p=b.array().With({arraydef:{columnalign:q,columnspacing:(r||"1em"),rowspacing:(m||"4pt")}});if(t.match(/[|:]/)){if(t.charAt(0).match(/[|:]/)){p.frame.push("left");p.frame.dashed=t.charAt(0)===":"}if(t.charAt(t.length-1).match(/[|:]/)){p.frame.push("right")}t=t.substr(1,t.length-2);p.arraydef.columnlines=t.split("").join(" ").replace(/[^|: 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l=n.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",l,m,o,k]);return h.merror(l)},Error:function(k){throw c.Insert(Error(k),{texError:true})},Macro:function(k,l,m){f.macros[k]=["Macro"].concat([].slice.call(arguments,1));f.macros[k].isUser=true},combineRelations:function(o){var p,k,n,l;for(p=0,k=o.data.length;p0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error("Erroneous nesting of equation structures")}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error("Missing or unrecognized delimiter for "+h)}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h.With({id:a.formatID(i.tagID)}))}},getTag:function(){var i=this.global,h=i.tag;i.tagged=true;if(i.label){f.eqlabels[i.label]=i.tagID;if(a.useLabelIds){h.id=a.formatID(i.label)}}delete i.tag;delete i.tagID;delete i.label;return h}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error("multline rows must have exactly one column")}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a 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