var jsCurry=function(){var sliceMF=Array.prototype.slice;if(!Function.prototype.bind)Function.prototype.bind=function(thisArg){var f=this,args0=sliceMF.call(arguments,1);return function(){return f.apply(thisArg,args0.concat(sliceMF.call(arguments,0)))}};if(!String.prototype.trim)String.prototype.trim=function(){return String(this).replace(/^\s+|\s+$/g,"")};if(!Array.isArray)Array.isArray=function(x){return typeof x=="object"&&x!==null&&Object.prototype.toString.call(x)==="[object Array]"};if(!Object.keys)Object.keys=
function(obj){var res=[];for(var p in obj)if(obj.hasOwnProperty(p))res.push(p);return res};if(!Date.now)Date.now=function(){return(new Date).getTime()};function F(x){if(typeof x=="function")return F.curry.apply(undefined,arguments);if(arguments.length==2){var y=arguments[1];if(typeof x=="string")return y[x].bind(y);if(typeof y=="function")return(typeof x=="number"?F.aritize:F.partial)(x,y)}arguments.length==1||F.err(err_F_1_);if(typeof x=="number"||typeof x=="string")return F.pToF(x);if(x.nodeType==
1)return jQuery.data(x);if(x&&typeof x=="object")return F.aToF(x);F.err(err_F_2_)}F.err=function(){throw Error("Assertion failed");};F.id=function(x){return x};F.constant=function(x){return function(){return x}};F.applyF=function(f,args){return f.apply(undefined,args)};F.curry=function(f){var g=f;arguments[0]=undefined;return g.bind.apply(g,arguments)};F._={};F.partial=function(a,f){var n=a.length;return function(){var args=sliceMF.call(arguments,0);for(var i=0;i<n;i++)if(a[i]!==F._)args.splice(i,
0,a[i]);return f.apply(this,args)}};F.uncurry=function(f){return function(x,y){return f(x)(y)}};F.o=function(){var fs=arguments;return function(){var n=fs.length,res=fs[--n].apply(undefined,arguments);while(n>0)res=fs[--n](res);return res}};F.oMap=function(f,g){return function(){return F.applyF(f,F.map(g,arguments))}};F.flip=function(f){return function(x,y){return f(y,x)}};F.seqF=function(){var fs=arguments,n=fs.length;return function(){var y;for(var i=0;i<n;i++)y=fs[i].apply(undefined,arguments);
return y}};F.cor=function(){var fs=arguments;return function(){return F.any(F([F._,arguments],F.applyF),fs)}};F.aritize=function(n,f){return function(){return F.applyF(f,sliceMF.call(arguments,0,n))}};F.not=function(x){return!x};F.cmpX=function(x,y){return x-y};F.cmpJS=function(s,t){return s<t?-1:s>t?1:0};F.cmpLex=function(cmpE,v,w){return F.any(function(e,i){return i==w.length?1:cmpE(e,w[i])},v)||v.length-w.length};F.eqTo=function(x,cmpP){if(!cmpP)cmpP=function(y,z){return y!==z};return F.o(F.not,
F(cmpP,x))};F.pToF=function(p){return function(obj){return obj[p]}};F.aToF=function(obj){return function(p){return obj[p]}};F.fToA=function(f,n){var a=new Array(n);for(var i=0;i<n;i++)a[i]=f(i);return a};F.memoF=function(f,memo){if(!memo)memo={};return function(p){return memo.hasOwnProperty(p)?memo[p]:memo[p]=f(p)}};F.setF=function(obj,p,v){obj[p]=v};F.obj1=function(p,v){var res={};res[p]=v;return res};F.slice=function(a,startP,endP){if(startP==null)startP=0;if(Array.isArray(a))return arguments.length<
3?a.slice(startP):a.slice(startP,endP);var n=a.length;startP=startP<0?Math.max(0,n+startP):Math.min(n,startP);endP=endP==null?n:endP<0?Math.max(0,n+endP):Math.min(n,endP);var res=[];while(startP<endP)res.push(a[startP++]);return res};F.array=function(){return sliceMF.call(arguments,0)};F.concatArgs=F.oMap(F("concat",[]),function(a){return Array.isArray(a)?a:F.slice(a)});F.concatMap=function(f,a){return F.applyF(F.concatArgs,F.map(f,a))};F.findIndex=function(qF,a){var n=a.length;for(var i=0;i<n;i++)if(qF(a[i],
i,a))return i;return-1};F.findLastIndex=function(qF,a){for(var i=a.length;--i>=0;)if(qF(a[i],i,a))return i;return-1};F.find=function(qF,a){var j=F.findIndex(qF,a);return j==-1?undefined:a[j]};F.elemIndex=function(e,a,cmpP){if(a.indexOf&&!cmpP&&Array.isArray(a))return a.indexOf(e);return F.findIndex(F.eqTo(e,cmpP),a)};F.elemLastIndex=function(e,a,cmpP){if(a.lastIndexOf&&!cmpP&&Array.isArray(a))return a.lastIndexOf(e);return F.findLastIndex(F.eqTo(e,cmpP),a)};F.elem=function(e,a,cmpP){return F.elemIndex(e,
a,cmpP)!=-1};F.all=function(qF,a){if(a.every&&Array.isArray(a))return a.every(qF);var n=a.length;for(var i=0;i<n;i++)if(!qF(a[i],i,a))return false;return true};F.any=function(f,a){var n=a.length,y=false;for(var i=0;i<n;i++){y=f(a[i],i,a);if(y)return y}return y};F.iter=function(f,a){if(arguments.length==2){if(a.forEach&&Array.isArray(a))return a.forEach(f);var n=a.length;for(var i=0;i<n;i++)f(a[i],i,a)}else{arguments.length>2||F.err(err_iter_);var args=sliceMF.call(arguments,1),n=F.applyF(Math.min,
F.map(F("length"),args));for(var i=0;i<n;i++)F.applyF(f,F.map(F(i),args).concat(i,args))}};F.map=function(f,a){if(a.map&&Array.isArray(a))return a.map(f);var n=a.length,res=new Array(n);for(var i=0;i<n;i++)res[i]=f(a[i],i,a);return res};F.map1=function(f,a){return F.map(F(1,f),a)};F.zipWith=function(f){arguments.length>1||F.err(err_zipWith_);var res=[];for(var i=0;;i++){var args=[];for(var j=1;j<arguments.length;j++){var a=arguments[j];if(i<a.length)args.push(a[i]);else return res}res.push(F.applyF(f,
args))}return res};F.zip=F(F.zipWith,F.array);F.unzip=function(zs){return zs.length?F.applyF(F.zip,zs):[]};F.filter=function(qF,a){if(a.filter&&Array.isArray(a))return a.filter(qF);return F.fold(function(y,e,i,a){if(qF(e,i,a))y.push(e);return y},a,[])};F.fold=function(op,a,xOpt){if(a.reduce&&Array.isArray(a))return arguments.length<3?a.reduce(op):a.reduce(op,xOpt);var n=a.length,i=0;if(arguments.length<3)xOpt=n?a[i++]:F.err(err_fold_);for(;i<n;i++)xOpt=op(xOpt,a[i],i,a);return xOpt};F.foldR=function(op,
a,xOpt){if(a.reduceRight&&Array.isArray(a))return arguments.length<3?a.reduceRight(op):a.reduceRight(op,xOpt);var n=a.length;if(arguments.length<3)xOpt=n?a[--n]:F.err(err_foldR_);while(--n>=0)xOpt=op(xOpt,a[n],n,a);return xOpt};F.sum=function(a){var n=a.length,res=0;for(var i=0;i<n;i++)res+=a[i];return res};F.test=function(t){if(t===0||t==="")t=typeof t;if(typeof t=="string")return function(x){return typeof x==t};if(t===Array||t===Date||t===RegExp)return function(x){return x!=null&&x.constructor==
t};if(t===null)return F.eqTo(null);if(t.constructor==RegExp)return F("test",t);if(typeof t=="function")return t;if(Array.isArray(t))if(t.length==1){t=F.test(t[0]);return function(x){return Array.isArray(x)&&F.all(t,x)}}else{t=F.map(F.test,t);return function(x){return F.any(function(qF){return qF(x)},t)}}if(typeof t=="object"){var ks=Object.keys(t),fs=F.map(F.o(F.test,F(t)),ks);return function(x){return x!=null&&F.all(function(k,i){return fs[i](x[k])},ks)}}F.err(err_test_)};return F}();var F;
if(F===undefined)F=jsCurry;var jqMath=function(){var $=jQuery,F=jsCurry;function M(x,y,z){var t=typeof x;if(t=="string"||t=="number")return M.sToMathE(String(x),y,z);F.err(M_)}M.getSpecAttrP=function(e,attName){var attP=e.getAttributeNode(attName);return attP&&attP.specified?attP.value:null};M.addClass=function(e,ws){if(typeof e.className!="undefined"){var classes=e.className;e.className=(classes?classes+" ":"")+ws}else{var classes=e.getAttribute("class");e.setAttribute("class",(classes?classes+" ":"")+ws)}return e};M.eToClassesS=
function(e){var sP=typeof e.className!="undefined"?e.className:e.getAttribute("class");return sP||""};M.hasClass=function(e,w){return(" "+M.eToClassesS(e)+" ").replace(/[\n\t]/g," ").indexOf(" "+w+" ")!=-1};M.mathmlNS="http://www.w3.org/1998/Math/MathML";function appendMeArgs(e,args){if(args==null);else if(typeof args=="string")e.appendChild(e.ownerDocument.createTextNode(args));else if(args.nodeType)e.appendChild(args);else{if(args.constructor!=Array)args=F.slice(args);F.iter(function(x){e.appendChild(x)},
args)}return e}if($.browser.msie)document.write('<object id=MathPlayer classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987">','</object><?IMPORT namespace="m" implementation="#MathPlayer" ?>');function newMeNS(tagName,argsP,docP){if(!docP)docP=document;var e=M.MathPlayer?docP.createElement("m:"+tagName):docP.createElementNS(M.mathmlNS,tagName);return appendMeArgs(e,argsP)}(function(){if(self.location){var match=location.search.match(/[?&;]mathml=(?:(off|false)|(on|true))\b/i);if(match)M.MathML=!match[1];
else if($.browser.safari&&/^5[3-4]\d\./.test($.browser.version)||$.browser.opera)M.MathML=false}})();M.canMathML=function(){if($.browser.msie&&M.MathPlayer==null)try{new ActiveXObject("MathPlayer.Factory.1");M.MathPlayer=true}catch(exc){M.MathPlayer=false}if(!M.MathPlayer&&typeof document.createElementNS=="undefined")return false;function mathMeToE(mathMe){mathMe.setAttribute("display","block");return $("<div/>").append(mathMe)[0]}var e1=newMeNS("math",newMeNS("mn","1")),e2=newMeNS("math",newMeNS("mfrac",
[newMeNS("mn","1"),newMeNS("mn","2")])),es$=$(F.map(mathMeToE,[e1,e2]));es$.css("visibility","hidden").appendTo(document.body);var res=$(es$[1]).height()>$(es$[0]).height()+2;es$.remove();return res};function checkVertStretch(up,dn,g,doP){if(g.nodeName.toLowerCase()=="mo"&&g.childNodes.length==1){var c=g.firstChild,s=c.data;if(c.nodeType==3&&(up>0.9||dn>0.9)&&(M.prefix_[s]<25||M.postfix_[s]<25||"|\u2016\u221a".indexOf(s)!=-1||doP)){var r=(up+dn)/1.2,radicQ=s=="\u221a",v=(radicQ?0.26:0.35)+((radicQ?
0.15:0.25)-dn)/r;g.style.fontSize=r.toFixed(3)+"em";g.style.verticalAlign=v.toFixed(3)+"em";g.fmUp=up;g.fmDn=dn}}}function vertAlignE$(up,dn,fmVert){var e$=$("<span/>").append(fmVert);e$[0].fmUp=up;e$[0].fmDn=dn;e$[0].style.verticalAlign=(0.5*(up-dn)).toFixed(3)+"em";return e$}M.mtagName=function(e){return e.getAttribute("mtagname")||e.tagName.toLowerCase().replace(/^m:/,"")};M.mchilds=function(e){var mSP=e.getAttribute("mtagname");while(e.tagName=="SPAN")e=e.firstChild;function span0(g){g.tagName==
"SPAN"||F.err(err_span0_);return g.firstChild}if(e.tagName=="TABLE"){e=e.firstChild;e.tagName=="TBODY"||F.err(err_mchilds_tbody_);if(mSP=="mtable")return e.childNodes;var a=e.childNodes;if(mSP=="mover")a=[a[1],a[0]];else if(mSP=="munderover")a=[a[1],a[2],a[0]];return F.map(function(tr){return tr.firstChild.firstChild},a)}else if(e.tagName=="MROW"&&mSP){var a=e.childNodes;if(mSP=="msqrt")return[span0(span0(a[1]))];if(mSP=="mroot")return[span0(span0(a[2])),span0(a[0])];mSP=="mmultiscripts"||F.err(err_mchilds_mrow_);
var nPrescripts=Number(e.getAttribute("nprescripts"));0<=nPrescripts&&nPrescripts<a.length&&nPrescripts%2==0||F.err(err_mchilds_mmultiscripts_);var res=[a[nPrescripts]];for(var i=nPrescripts+1;i<a.length;i++)res.push(span0(a[i]));if(nPrescripts){res.push(e.ownerDocument.createElement("mprescripts"));for(var i=0;i<nPrescripts;i++)res.push(span0(a[i]))}return res}else if(F.elem(e.tagName,["MSUB","MSUP","MSUBSUP"]))return F.map(function(c,i){return i?span0(c):c},e.childNodes);else if(e.tagName=="MSPACE")return[];
else return e.childNodes};M.newMe=function(tagName,argsP,docP){if(!docP)docP=document;M.MathML!=null||F.err(err_newMe_MathML_);if(M.MathML)return newMeNS(tagName,argsP,docP);if(tagName=="math")tagName="fmath";var e$=$(appendMeArgs(docP.createElement(tagName.toUpperCase()),argsP)),a=F.slice(e$[0].childNodes);if(F.elem(tagName,["fmath","msqrt","mtd"])&&a.length!=1){a=[M.newMe("mrow",a,docP)];e$[0].childNodes.length==0||F.err(err_newMe_imp_mrow_);e$.append(a[0])}var ups=F.map(function(g){return Number(g.fmUp||
0.6)},a),dns=F.map(function(g){return Number(g.fmDn||0.6)},a);if(tagName=="fmath"||tagName=="mn"||tagName=="mtext"||tagName=="mspace"||tagName=="mprescripts"||tagName=="none");else if(tagName=="mi"){a.length==1||F.err(err_newMe_mi_);var c=a[0];if(c.nodeType==3&&c.data.length==1){e$.addClass("fm-mi-length-1");if("EFHIJKMNTUVWXYZdfl".indexOf(c.data)!=-1)e$.css("padding-right","0.44ex")}}else if(tagName=="mo"){a.length==1||F.err(err_newMe_mo_);var c=a[0];if(c.nodeType==3&&/[\]|([{\u2016)}]/.test(c.data))e$.addClass("fm-mo-Luc")}else if(tagName==
"mrow"){var up=F.applyF(Math.max,ups),dn=F.applyF(Math.max,dns);if(up>0.65||dn>0.65){e$[0].fmUp=up;e$[0].fmDn=dn;F.iter(F([up,dn,F._,null],checkVertStretch),a)}}else if(tagName=="mfrac"){a.length==2||F.err(err_newMe_mfrac_);var num$=$('<td class="fm-num-frac fm-inline"></td>',docP).append(a[0]),den$=$('<td class="fm-den-frac fm-inline"></td>',docP).append(a[1]);e$=vertAlignE$(ups[0]+dns[0]+0.03,ups[1]+dns[1]+0.03,$('<span class="fm-vert fm-frac"></span>',docP).append($("<table/>",docP).append($("<tbody/>",
docP).append($("<tr/>",docP).append(num$)).append($("<tr/>",docP).append(den$))))).attr("mtagname",tagName)}else if(tagName=="msqrt"||tagName=="mroot"){a.length==(tagName=="msqrt"?1:2)||F.err(err_newMe_root_);e$=$("<mrow/>",docP).attr("mtagname",tagName);var t=0.06*(ups[0]+dns[0]),up=ups[0]+t+0.1,dn=dns[0];if(tagName=="mroot"){var ht=0.6*(ups[1]+dns[1]),d=0.25/0.6-0.25;if(up>ht)d+=up/0.6-ups[1];else{d+=dns[1];up=ht}e$.append($('<span class="fm-root fm-inline"></span>',docP).append(a[1]).css("verticalAlign",
d.toFixed(2)+"em"))}var mo$=$("<mo/>",docP).addClass("fm-radic").append("\u221a"),y$=vertAlignE$(up,dn,$('<span class="fm-vert fm-radicand"></span>',docP).append(a[0]).css("borderTopWidth",t.toFixed(3)+"em"));checkVertStretch(up,dn,mo$[0]);e$.append(mo$).append(y$);e$[0].fmUp=up;e$[0].fmDn=dn}else if(tagName=="msub"||tagName=="msup"||tagName=="msubsup"||tagName=="mmultiscripts"){tagName=="mmultiscripts"||a.length==(tagName=="msubsup"?3:2)||F.err(err_newMe_sub_sup_);var up=ups[0],dn=dns[0],oddQ=tagName==
"msup",dUp=up/0.71-0.6,dDn=dn/0.71-0.6;for(var i=1;i<a.length;i++){if(tagName=="mmultiscripts"){var w=M.mtagName(a[i]);if(w=="none")continue;if(w=="mprescripts"){if(oddQ)throw'Repeated "mprescripts"';oddQ=true;continue}}if(i%2==(oddQ?0:1))dDn=Math.max(dDn,ups[i]);else dUp=Math.max(dUp,dns[i])}var preAP=null,postA=[],nPrescripts=0;for(var i=1;i<a.length;i++){if(tagName=="mmultiscripts"){var w=M.mtagName(a[i]);if(w=="mprescripts"){preAP=[];nPrescripts=a.length-i-1;continue}}var d=0.25/0.71-0.25;if(i%
2==(preAP?0:1)&&tagName!="msup"){d-=dDn;dn=Math.max(dn,0.71*(dDn+dns[i]))}else{d+=dUp;up=Math.max(up,0.71*(dUp+ups[i]))}$(a[i]).wrap('<span class="fm-script fm-inline"></span>').parent().css("verticalAlign",d.toFixed(2)+"em");if($.browser.msie&&(document.documentMode||$.browser.version)<8)a[i].style.zoom=1;if(tagName=="mmultiscripts")(preAP||postA).push(a[i].parentNode)}if(tagName=="mmultiscripts")e$=$("<mrow/>").append($((preAP||[]).concat(a[0],postA))).attr({mtagname:"mmultiscripts",nprescripts:nPrescripts});
e$[0].fmUp=up;e$[0].fmDn=dn}else if(tagName=="munder"||tagName=="mover"||tagName=="munderover"){a.length==(tagName=="munderover"?3:2)||F.err(err_newMe_under_over_);var tbody$=$("<tbody/>",docP),td$,up=0.85*ups[0],dn=0.85*dns[0];if(tagName!="munder"){td$=$('<td class="fm-script fm-inline"></td>',docP).append(a[a.length-1]);tbody$.append($("<tr/>",docP).append(td$));up+=0.71*(ups[a.length-1]+dns[a.length-1])}td$=$('<td class="fm-underover-base"></td>',docP).append(a[0]);tbody$.append($("<tr/>",docP).append(td$));
if(tagName!="mover"){td$=$('<td class="fm-script fm-inline"></td>',docP).append(a[1]);tbody$.append($("<tr/>",docP).append(td$));dn+=0.71*(ups[1]+dns[1])}e$=vertAlignE$(up,dn,$('<span class="fm-vert"></span>',docP).append($("<table/>",docP).append(tbody$))).attr("mtagname",tagName)}else if(tagName=="mtable"){var tbody$=$("<tbody/>",docP).append($(a));e$=$('<span class="fm-vert" mtagname="mtable"></span>',docP).append($("<table/>",docP).append(tbody$));var r=F.sum(ups)+F.sum(dns);e$[0].fmUp=e$[0].fmDn=
0.5*r}else if(tagName=="mtr"){e$=$('<tr class="fm-mtr" mtagname="mtr"></tr>',docP).append($(a));var up=0.6,dn=0.6;F.iter(function(e,i){if((e.getAttribute(M.MathML?"rowspan":"rowSpan")||1)==1){up=Math.max(up,ups[i]);dn=Math.max(dn,dns[i])}},a);e$[0].fmUp=up+0.25;e$[0].fmDn=dn+0.25}else if(tagName=="mtd"){e$=$('<td class="fm-mtd" mtagname="mtd"></td>',docP).append($(a));if(ups[0]>0.65)e$[0].fmUp=ups[0];if(dns[0]>0.65)e$[0].fmDn=dns[0]}else F.err(err_newMe_);return e$[0]};M.spaceMe=function(widthS,docP){var e=
M.newMe("mspace",null,docP);e.setAttribute("width",widthS);if(!M.MathML){e.style.marginRight=widthS;e.style.paddingRight="0.001em";$(e).append("\u200c");$(e).css("visibility","hidden")}return e};M.fenceMe=function(me1,leftP,rightP,docP){return M.newMe("mrow",[M.newMe("mo",leftP||"(",docP),me1,M.newMe("mo",rightP||")",docP)],docP)};M.trimNumS=function(s){return s.replace(/(\d\.\d*?)0+(?!\d)/g,"$1").replace(/(\d)\.(?!\d)/g,"$1").replace(/[-\u2212]0(?![.\d])/g,"0")};M.numS=function(s,trimQ){if(trimQ)s=
M.trimNumS(s);return s.replace(/Infinity/ig,"\u221e").replace(/NaN/ig,"{?}").replace(/e(-\d+)/ig,"\u00b710^{$1}").replace(/e\+?(\d+)/ig,"\u00b710^$1").replace(/-/g,"\u2212")};M.combiningChar_="[\u0300-\u036f\u1dc0-\u1dff\u20d0-\u20ff\ufe20-\ufe2f]";M.surrPair_="[\ud800-\udbff][\udc00-\udfff]";var decComma_,escPat_="[\\\\`]([A-Za-z]+|.)";M.decimalComma=function(qP){if(qP!=null){decComma_=qP;var numPat=(qP?"\\d*,\\d+|":"")+"\\d+\\.?\\d*|\\.\\d+";M.re_=RegExp("("+numPat+")|"+escPat_+"|"+M.surrPair_+
"|\\S"+M.combiningChar_+"*","g")}return decComma_};var commaLangs="af|an|ar|av|az|ba|be|bg|bs|ca|ce|co|cs|cu|cv|da|de|el|es|et|eu|fi|fo|fr|"+"gl|hr|hu|hy|id|is|it|jv|kk|kl|kv|lb|lt|lv|mk|mn|mo|nl|no|os|pl|pt|ro|ru|sc|sk|sq|sr|"+"su|sv|tr|tt|ug|uk|vi|yi";M.decimalComma(RegExp("^("+commaLangs+")\\b","i").test(document.documentElement.lang));M.infix_={"\u2282\u20d2":240,"\u2283\u20d2":240,"\u226a\u0338":260,"\u226b\u0338":260,"\u2aaf\u0338":260,"\u2ab0\u0338":260,"\u223d\u0331":265,"\u2242\u0338":265,
"\u224e\u0338":265,"\u224f\u0338":265,"\u2266\u0338":265,"\u227f\u0338":265,"\u228f\u0338":265,"\u2290\u0338":265,"\u29cf\u0338":265,"\u29d0\u0338":265,"\u2a7d\u0338":265,"\u2a7e\u0338":265,"\u2aa1\u0338":265,"\u2aa2\u0338":265,"\u2009":390,"":500};M.prefix_={};M.postfix_={};function setPrecs(precs,precCharsA){F.iter(function(prec_chars){var prec=prec_chars[0];F.iter(function(c){precs[c]=prec},prec_chars[1].split(""))},precCharsA)}setPrecs(M.infix_,[[21,"|"],[30,";"],[40,",\u2063"],[70,"\u2234\u2235"],
[100,":"],[110,"\u03f6"],[150,"\u2026\u22ee\u22ef\u22f1"],[160,"\u220b"],[170,"\u22a2\u22a3\u22a4\u22a8\u22a9\u22ac\u22ad\u22ae\u22af"],[190,"\u2228"],[200,"\u2227"],[240,"\u2201\u2208\u2209\u220c\u2282\u2283\u2284\u2285\u2286\u2287\u2288\u2289\u228a\u228b"],[241,"\u2264"],[242,"\u2265"],[243,">"],[244,"\u226f"],[245,"<"],[246,"\u226e"],[247,"\u2248"],[250,"\u223c\u2249"],[252,"\u2262"],[255,"\u2260"],[260,"=\u221d\u2224\u2225\u2226\u2241\u2243\u2244\u2245\u2246\u2247\u224d\u2254\u2257\u2259\u225a\u225c\u225f\u2261\u2268\u2269\u226a\u226b\u226d\u2270\u2271\u227a\u227b\u227c\u227d\u2280\u2281\u22a5\u22b4\u22b5\u22c9\u22ca\u22cb\u22cc\u22d4\u22d6\u22d7\u22d8\u22d9\u22ea\u22eb\u22ec\u22ed\u25a0\u25a1\u25aa\u25ab\u25ad\u25ae\u25af\u25b0\u25b1\u25b3\u25b4\u25b5\u25b6\u25b7\u25b8\u25b9\u25bc\u25bd\u25be\u25bf\u25c0\u25c1\u25c2\u25c3"+
"\u25c4\u25c5\u25c6\u25c7\u25c8\u25c9\u25cc\u25cd\u25ce\u25cf\u25d6\u25d7\u25e6\u29c0\u29c1\u29e3\u29e4\u29e5\u29e6\u29f3\u2a87\u2a88\u2aaf\u2ab0"],[265,"\u2044\u2206\u220a\u220d\u220e\u2215\u2217\u2218\u2219\u221f\u2223\u2236\u2237\u2238\u2239\u223a\u223b\u223d\u223e\u223f\u2242\u224a\u224b\u224c\u224e\u224f\u2250\u2251\u2252\u2253\u2255\u2256\u2258\u225d\u225e\u2263\u2266\u2267\u226c\u2272\u2273\u2274\u2275\u2276\u2277\u2278\u2279\u227e\u227f\u228c\u228d\u228e\u228f\u2290\u2291\u2292\u2293\u2294\u229a\u229b\u229c\u229d\u22a6\u22a7\u22aa\u22ab\u22b0\u22b1\u22b2\u22b3\u22b6\u22b7\u22b9\u22ba\u22bb\u22bc\u22bd\u22be\u22bf\u22c4\u22c6\u22c7"+
"\u22c8\u22cd\u22ce\u22cf\u22d0\u22d1\u22d2\u22d3\u22d5\u22da\u22db\u22dc\u22dd\u22de\u22df\u22e0\u22e1\u22e2\u22e3\u22e4\u22e5\u22e6\u22e7\u22e8\u22e9\u22f0\u22f2\u22f3\u22f4\u22f5\u22f6\u22f7\u22f8\u22f9\u22fa\u22fb\u22fc\u22fd\u22fe\u22ff\u25b2\u2758\u2981\u2982\u29a0\u29a1\u29a2\u29a3\u29a4\u29a5\u29a6\u29a7\u29a8\u29a9\u29aa\u29ab\u29ac\u29ad\u29ae\u29af\u29b0\u29b1\u29b2\u29b3\u29b4\u29b5\u29b6\u29b7\u29b8\u29b9\u29ba\u29bb\u29bc\u29bd\u29be\u29bf\u29c2\u29c3\u29c4"+"\u29c5\u29c6\u29c7\u29c8\u29c9\u29ca\u29cb\u29cc\u29cd\u29ce\u29cf\u29d0\u29d1\u29d2\u29d3\u29d4\u29d5\u29d6\u29d7\u29d8\u29d9\u29db\u29dc\u29dd\u29de\u29e0\u29e1\u29e2\u29e7\u29e8\u29e9\u29ea\u29eb\u29ec\u29ed\u29ee\u29f0\u29f1\u29f2\u29f5\u29f6\u29f7\u29f8\u29f9\u29fa\u29fb\u29fe\u29ff\u2a1d\u2a1e\u2a1f\u2a20\u2a21\u2a22\u2a23\u2a24\u2a25\u2a26\u2a27\u2a28\u2a29\u2a2a\u2a2b\u2a2c\u2a2d\u2a2e\u2a30\u2a31\u2a32\u2a33\u2a34\u2a35\u2a36\u2a37\u2a38\u2a39"+
"\u2a3a\u2a3b\u2a3c\u2a3d\u2a3e\u2a40\u2a41\u2a42\u2a43\u2a44\u2a45\u2a46\u2a47\u2a48\u2a49\u2a4a\u2a4b\u2a4c\u2a4d\u2a4e\u2a4f\u2a50\u2a51\u2a52\u2a53\u2a54\u2a55\u2a56\u2a57\u2a58\u2a59\u2a5a\u2a5b\u2a5c\u2a5d\u2a5e\u2a5f\u2a60\u2a61\u2a62\u2a63\u2a64\u2a65\u2a66\u2a67\u2a68\u2a69\u2a6a\u2a6b\u2a6c\u2a6d\u2a6e\u2a6f\u2a70\u2a71\u2a72\u2a73\u2a74\u2a75\u2a76\u2a77\u2a78\u2a79\u2a7a\u2a7b\u2a7c\u2a7d\u2a7e\u2a7f\u2a80\u2a81\u2a82\u2a83\u2a84\u2a85\u2a86\u2a89\u2a8a\u2a8b\u2a8c\u2a8d\u2a8e\u2a8f"+
"\u2a90\u2a91\u2a92\u2a93\u2a94\u2a95\u2a96\u2a97\u2a98\u2a99\u2a9a\u2a9b\u2a9c\u2a9d\u2a9e\u2a9f\u2aa0\u2aa1\u2aa2\u2aa3\u2aa4\u2aa5\u2aa6\u2aa7\u2aa8\u2aa9\u2aaa\u2aab\u2aac\u2aad\u2aae\u2ab1\u2ab2\u2ab3\u2ab4\u2ab5\u2ab6\u2ab7\u2ab8\u2ab9\u2aba\u2abb\u2abc\u2abd\u2abe\u2abf\u2ac0\u2ac1\u2ac2\u2ac3\u2ac4\u2ac5\u2ac6\u2ac7\u2ac8\u2ac9\u2aca\u2acb\u2acc\u2acd\u2ace\u2acf\u2ad0\u2ad1\u2ad2\u2ad3\u2ad4\u2ad5\u2ad6\u2ad7\u2ad8\u2ad9\u2ada\u2adb\u2add\u2add\u2ade\u2adf\u2ae0\u2ae1\u2ae2\u2ae3\u2ae4\u2ae5\u2ae6"+
"\u2ae7\u2ae8\u2ae9\u2aea\u2aeb\u2aec\u2aed\u2aee\u2aef\u2af0\u2af1\u2af2\u2af3\u2af4\u2af5\u2af6\u2af7\u2af8\u2af9\u2afa\u2afb\u2afd\u2afe"],[270,"\u2190\u2191\u2192\u2193\u2194\u2195\u2196\u2197\u2198\u2199\u219a\u219b\u219c\u219d\u219e\u219f\u21a0\u21a1\u21a2\u21a3\u21a4\u21a5\u21a6\u21a7\u21a8\u21a9\u21aa\u21ab\u21ac\u21ad\u21ae\u21af\u21b0\u21b1\u21b2\u21b3\u21b4\u21b5\u21b6\u21b7\u21b8\u21b9\u21ba\u21bb\u21bc\u21bd\u21be\u21bf\u21c0\u21c1\u21c2\u21c3\u21c4\u21c5\u21c6\u21c7\u21c8\u21c9\u21ca\u21cb\u21cc\u21cd\u21ce\u21cf\u21d0\u21d1"+
"\u21d2\u21d3\u21d4\u21d5\u21d6\u21d7\u21d8\u21d9\u21da\u21db\u21dc\u21dd\u21de\u21df\u21e0\u21e1\u21e2\u21e3\u21e4\u21e5\u21e6\u21e7\u21e8\u21e9\u21ea\u21eb\u21ec\u21ed\u21ee\u21ef\u21f0\u21f1\u21f2\u21f3\u21f4\u21f5\u21f6\u21f7\u21f8\u21f9\u21fa\u21fb\u21fc\u21fd\u21fe\u21ff\u22b8\u27f0\u27f1\u27f5\u27f6\u27f7\u27f8\u27f9\u27fa\u27fb\u27fc\u27fd\u27fe\u27ff\u2900\u2901\u2902\u2903\u2904"+"\u2905\u2906\u2907\u2908\u2909\u290a\u290b\u290c\u290d\u290e\u290f\u2910\u2911\u2912\u2913\u2914\u2915\u2916\u2917\u2918\u2919\u291a\u291b\u291c\u291d\u291e\u291f\u2920\u2921\u2922\u2923\u2924\u2925\u2926\u2927\u2928\u2929\u292a\u292b\u292c\u292d\u292e\u292f\u2930\u2931\u2932\u2933\u2934\u2935\u2936\u2937\u2938\u2939\u293a\u293b\u293c\u293d\u293e\u293f\u2940\u2941\u2942\u2943\u2944\u2945\u2946\u2947\u2948\u2949\u294a\u294b\u294c\u294d\u294e\u294f\u2950\u2951\u2952"+
"\u2953\u2954\u2955\u2956\u2957\u2958\u2959\u295a\u295b\u295c\u295d\u295e\u295f\u2960\u2961\u2962\u2963\u2964\u2965\u2966\u2967\u2968\u2969\u296a\u296b\u296c\u296d\u296e\u296f\u2970\u2971\u2972\u2973\u2974\u2975\u2976\u2977\u2978\u2979\u297a\u297b\u297c\u297d\u297e\u297f\u2999\u299a\u299b\u299c\u299d\u299e\u299f\u29df\u29ef\u29f4\u2b45\u2b46"],[275,"+-\u00b1\u2212\u2213\u2214\u229e\u229f"],[300,"\u2295\u2296\u2298"],[340,"\u2240"],[350,"\u2229\u222a"],[390,"*.\u00d7\u2022\u2062\u22a0\u22a1\u22c5\u2a2f\u2a3f"],
[400,"\u00b7"],[410,"\u2297"],[640,"%"],[650,"\\\u2216"],[660,"/\u00f7"],[710,"\u2299"],[825,"@"],[835,"?"],[850,"\u2061"],[880,"^_\u2064"]]);setPrecs(M.prefix_,[[10,"\u2018\u201c"],[20,"([{\u2016\u2308\u230a\u2772\u27e6\u27e8\u27ea\u27ec\u27ee\u2980\u2983\u2985\u2987\u2989\u298b\u298d\u298f\u2991\u2993\u2995\u2997\u29fc"],[230,"\u2200\u2203\u2204"],[290,"\u2211\u2a0a\u2a0b"],[300,"\u222c\u222d\u2a01"],[310,"\u222b\u222e\u222f\u2230\u2231\u2232\u2233\u2a0c\u2a0d\u2a0e\u2a0f\u2a10\u2a11\u2a12\u2a13\u2a14\u2a15\u2a16\u2a17\u2a18\u2a19\u2a1a\u2a1b\u2a1c"],
[320,"\u22c3\u2a03\u2a04"],[330,"\u22c0\u22c1\u22c2\u2a00\u2a02\u2a05\u2a06\u2a07\u2a08\u2a09\u2afc\u2aff"],[350,"\u220f\u2210"],[670,"\u2220\u2221\u2222"],[680,"\u00ac"],[740,"\u2202\u2207"],[845,"\u2145\u2146\u221a\u221b\u221c"]]);setPrecs(M.postfix_,[[10,"\u2019\u201d"],[20,")]}\u2016\u2309\u230b\u2773\u27e7\u27e9\u27eb\u27ed\u27ef\u2980\u2984\u2986\u2988\u298a\u298c\u298e\u2990\u2992\u2994\u2996\u2998\u29fd"],[800,"\u2032\u266d\u266e\u266f"],[810,"!"],[880,"&'`~\u00a8\u00af\u00b0\u00b4\u00b8\u02c6\u02c7\u02c9\u02ca\u02cb\u02cd\u02d8\u02d9\u02da\u02dc\u02dd\u02f7\u0302\u0311\u203e\u20db\u20dc\u23b4\u23b5\u23dc\u23dd\u23de\u23df\u23e0\u23e1"]]);
var s_,docP_,precAdj_;function newMe_(tagName,argsP){return M.newMe(tagName,argsP,docP_)}function emptyMe_(){return newMe_("mspace")}function scanWord(descP){var re=/\s*([-\w.]*)/g;re.lastIndex=M.re_.lastIndex;var match=re.exec(s_);if(!match[1])throw"Missing "+(descP||"word");M.re_.lastIndex=re.lastIndex;return match[1]}function scanString(descP){var re=/\s*(?:(["'])|([-\w.]*))/g;re.lastIndex=M.re_.lastIndex;var match=re.exec(s_);if(match[2]){M.re_.lastIndex=re.lastIndex;return match[2]}if(!match[1])throw"Missing "+
(descP||"string");var c=match[1],re2=RegExp("[^\\`"+c+"]+|[\\`](.|\n)|("+c+")","g"),res="";re2.lastIndex=re.lastIndex;while(true){match=re2.exec(s_);if(!match)throw"Missing closing "+c;if(match[2])break;res+=match[1]||match[0]}M.re_.lastIndex=re2.lastIndex;return res}function scanMeTok(afterP){var tokP=scanTokP();if(!tokP||!tokP[0])throw"Missing expression argument"+(afterP?" after "+afterP:"")+", before position "+M.re_.lastIndex;return tokP}function mtokenScan(tagName){var s=scanString(tagName==
"mtext"?"text":tagName);return[newMe_(tagName,s),tagName=="mo"?s:null]}function htmlScan(){var h=scanString("html"),e=$("<div/>",docP_||document).css("display","inline-block").html(h)[0];if(e.childNodes.length==1)e=e.childNodes[0];return[newMe_("mtext",e),null]}function spScan(){var widthS=scanString("\\sp width");return[M.spaceMe(widthS,docP_),/^[^-]*[1-9]/.test(widthS)?"\u2009":null]}function braceScan(){var tokP=scanTokP();if(tokP&&tokP[1]=="\u2196"&&!tokP[0]){var meTokP_tokP=parseEmbel();tokP=
meTokP_tokP[1]||scanTokP();if(!(meTokP_tokP[0]&&tokP&&tokP[1]=="}"&&!tokP[0]))throw'Expected an embellished operator and "}" after "{\u2196", before position '+M.re_.lastIndex;return meTokP_tokP[0]}var mxP_tokP=parse_mxP_tokP(0,tokP);tokP=mxP_tokP[1];if(!tokP)throw'Missing "}"';tokP[1]=="}"&&!tokP[0]||F.err(err_braceScan_);return[mxP_tokP[0]||emptyMe_(),null]}function attrScan(nameP,mmlOnlyQ){if(!nameP)nameP=scanWord("attribute name");var v=scanString(nameP+" attribute"),tok=scanMeTok(nameP);if(!mmlOnlyQ||
M.MathML)tok[0].setAttribute(nameP,v);return tok}function clScan(){var desc="CSS class name(s)",ws=scanString(desc),tok=scanMeTok(desc);M.addClass(tok[0],ws);return tok}function mvScan(sP){var s=sP||scanString("mathvariant"),tok=scanMeTok(s),me=tok[0];if(!F.elem(M.mtagName(me),["mi","mn","mo","mtext","mspace","ms"]))throw"Can only apply a mathvariant to a MathML token (atomic) element, at "+"position "+M.re_.lastIndex;me.setAttribute("mathvariant",s);if(/bold/.test(s))M.addClass(me,"ma-bold");else if(s==
"normal"||s=="italic")M.addClass(me,"ma-nonbold");M.addClass(me,/italic/.test(s)?"ma-italic":"ma-upright");if(/double-struck/.test(s))M.addClass(me,"ma-double-struck");else if(/fraktur/.test(s))M.addClass(me,"ma-fraktur");else if(/script/.test(s))M.addClass(me,"ma-script");else if(/sans-serif/.test(s))M.addClass(me,"ma-sans-serif");return tok}function minsizeScan(){var s=scanString("minsize"),tok=scanMeTok("minsize"),me=tok[0];if(M.mtagName(me)!="mo")throw"Can only stretch an operator symbol, before position "+
M.re_.lastIndex;if(M.MathML)me.setAttribute("minsize",s);else{var r=Number(s);if(r>1)checkVertStretch(0.6*r,0.6*r,me,true);else me.style.fontSize=s}return tok}function mrow1Scan(){return[newMe_("mrow",scanMeTok("\\mrowOne")[0]),null]}function binomScan(){function mtr1(e){return newMe_("mtr",newMe_("mtd",e))}var xMe=scanMeTok("\\binom")[0],yMe=scanMeTok("\\binom")[0],zMe=newMe_("mtable",F.map(mtr1,[xMe,yMe]));M.addClass(zMe,"ma-binom");if(!M.MathML){zMe.fmUp-=0.41;zMe.fmDn-=0.41}return[newMe_("mrow",
[newMe_("mo","("),zMe,newMe_("mo",")")]),null]}M.macros_={mn:F(mtokenScan,"mn"),mi:F(mtokenScan,"mi"),mo:F(mtokenScan,"mo"),text:F(mtokenScan,"mtext"),html:htmlScan,sp:spScan,attr:attrScan,attrMML:F(attrScan,null,true),id:F(attrScan,"id"),dir:F(attrScan,"dir"),cl:clScan,mv:mvScan,bo:F(mvScan,"bold"),it:F(mvScan,"italic"),bi:F(mvScan,"bold-italic"),sc:F(mvScan,"script"),bs:F(mvScan,"bold-script"),fr:F(mvScan,"fraktur"),ds:F(mvScan,"double-struck"),bf:F(mvScan,"bold-fraktur"),minsize:minsizeScan,mrowOne:mrow1Scan,
binom:binomScan};M.alias_={"-":"\u2212","'":"\u2032","\u212d":["C","fraktur"],"\u210c":["H","fraktur"],"\u2111":["I","fraktur"],"\u211c":["R","fraktur"],"\u2128":["Z","fraktur"],"\u212c":["B","script"],"\u2130":["E","script"],"\u2131":["F","script"],"\u210b":["H","script"],"\u2110":["I","script"],"\u2112":["L","script"],"\u2133":["M","script"],"\u211b":["R","script"],"\u212f":["e","script"],"\u210a":["g","script"],"\u2134":["o","script"]};function scanTokP(){var match=M.re_.exec(s_);if(!match){M.re_.lastIndex=
s_.length;return null}var s1=match[2]||match[0],mvP=null;if(/^[_^}\u2196\u2199]$/.test(match[0])||match[2]&&M.macro1s_[s1])return[null,s1];if(match[0]=="{")return braceScan();if(match[2]&&M.macros_[s1])return M.macros_[s1]();if(match[1])return[M.newMe("mn",s1,docP_),null];if(match[2]==",")s1="\u2009";else if(match[2]=="/")s1="\u2215";else if(M.alias_[s1]&&!match[2]){var t=M.alias_[s1];if(typeof t=="string")s1=t;else{s1=t[0];mvP=t[1]}}var opSP=M.infix_[s1]||M.prefix_[s1]||M.postfix_[s1]?s1:null,e;
if(s1=="\u2009")e=M.spaceMe(".17em",docP_);else if(opSP){e=M.newMe("mo",s1,docP_);if(/^[\u2200\u2203\u2204\u2202\u2207]$/.test(s1)){e.setAttribute("lspace",".11em");e.setAttribute("rspace",".06em")}else if(s1=="!"){e.setAttribute("lspace",".06em");e.setAttribute("rspace","0")}else if(s1=="\u00d7"){e.setAttribute("lspace",".22em");e.setAttribute("rspace",".22em")}}else{e=M.newMe("mi",s1,docP_);if(match[2]&&s1.length==1){e.setAttribute("mathvariant","normal");M.addClass(e,"ma-upright");if(!M.MathML)e.style.paddingRight=
"0"}else if(mvP){e.setAttribute("mathvariant",mvP);M.addClass(e,"ma-upright");M.addClass(e,"ma-"+mvP)}if(/\w\w/.test(s1))M.addClass(e,"ma-repel-adj")}return[e,opSP]}function parse_mtd_tokP(optQ){var mxP_tokP=parse_mxP_tokP(M.infix_[","]),tokP=mxP_tokP[1]||scanTokP(),mxP=mxP_tokP[0];if(!mxP){if(optQ&&!(tokP&&tokP[1]==","))return[null,tokP];mxP=emptyMe_()}var w=M.mtagName(mxP);if(w!="mtd"&&!(w=="mtr"&&optQ))mxP=M.newMe("mtd",mxP,docP_);return[mxP,tokP]}function parse_rowspan_tokP(){var v=scanString("rowspan"),
mtd_tokP=parse_mtd_tokP(),mtd=mtd_tokP[0];mtd.setAttribute(M.MathML?"rowspan":"rowSpan",v);if(!M.hasClass(mtd,"middle"))M.addClass(mtd,"middle");return mtd_tokP}function parse_colspan_tokP(){var v=scanString("colspan"),mtd_tokP=parse_mtd_tokP();mtd_tokP[0].setAttribute(M.MathML?"columnspan":"colSpan",v);return mtd_tokP}function parse_mtr_tokP(optQ){var mtds=[];while(true){var mtdP_tokP=parse_mtd_tokP(mtds.length==0),mtdP=mtdP_tokP[0],tokP=mtdP_tokP[1]||scanTokP();if(mtdP){if(M.mtagName(mtdP)=="mtr")return[mtdP,
tokP];mtds.push(mtdP)}if(!(tokP&&tokP[1]==","))return[mtds.length||!optQ||tokP&&tokP[1]==";"?M.newMe("mtr",mtds,docP_):null,tokP]}}function parse_table_tokP(){var mtrs=[];while(true){var mtrP_tokP=parse_mtr_tokP(mtrs.length==0),mtrP=mtrP_tokP[0],tokP=mtrP_tokP[1]||scanTokP();if(mtrP)mtrs.push(mtrP);if(!(tokP&&tokP[1]==";"))return[M.newMe("mtable",mtrs,docP_),tokP]}}function parse_math_tokP(){var mxP_tokP=parse_mxP_tokP(0);mxP_tokP[0]=M.newMe("math",mxP_tokP[0],docP_);return mxP_tokP}M.macro1s_={mtd:parse_mtd_tokP,
rowspan:parse_rowspan_tokP,colspan:parse_colspan_tokP,mtr:parse_mtr_tokP,table:parse_table_tokP,math:parse_math_tokP};var embelWs_={"_":"sub","^":"sup","\u2199":"under","\u2196":"over"};function embelKP(op){var wP=embelWs_[op];return wP&&(wP.length<4?"ss":"uo")}function parseEmbel(meTokP,tokP){while(true){if(!tokP)tokP=scanTokP();if(!tokP||tokP[0]||!embelWs_[tokP[1]]){if(tokP&&!meTokP){meTokP=tokP;tokP=null;continue}return[meTokP,tokP]}var k=embelKP(tokP[1]),parseMxs=function(){var mxs={},doneQs=
{};while(true){if(!tokP)tokP=scanTokP();if(!tokP||tokP[0])break;var op=tokP[1];if(embelKP(op)!=k||doneQs[op])break;doneQs[op]=true;tokP=scanTokP();if(tokP&&embelKP(tokP[1])==k&&!tokP[0])continue;var mxP_tokP=parse_mxP_tokP(999,tokP);mxs[op]=mxP_tokP[0];tokP=mxP_tokP[1]}return mxs},mxs=parseMxs();if(k=="uo"||!tokP||(tokP[0]?meTokP:embelKP(tokP[1])!="ss")){if(!meTokP)meTokP=[emptyMe_(),null];var w="m",a=[meTokP[0]];F.iter(function(op){if(mxs[op]){w+=embelWs_[op];a.push(mxs[op])}},["_","^","\u2199",
"\u2196"]);if(a.length>1)meTokP=[M.newMe(w,a,docP_),meTokP[1]]}else{var mxsPA=[mxs];while(tokP&&!tokP[0]&&embelKP(tokP[1])=="ss")mxsPA.push(parseMxs());if(!meTokP)if(!tokP||!tokP[0])meTokP=[emptyMe_(),null];else{meTokP=tokP;tokP=scanTokP();var postA=[];while(tokP&&!tokP[0]&&embelKP(tokP[1])=="ss")postA.push(parseMxs());mxsPA=postA.concat(null,mxsPA)}var a=[meTokP[0]];F.iter(function(mxsP){if(!mxsP)a.push(M.newMe("mprescripts",null,docP_));else a.push(mxsP["_"]||M.newMe("none",null,docP_),mxsP["^"]||
M.newMe("none",null,docP_))},mxsPA);meTokP=[M.newMe("mmultiscripts",a,docP_),meTokP[1]]}}}function parse_mxP_tokP(prec,tokP){var mx0p=null;while(true){if(!tokP){tokP=scanTokP();if(!tokP)break}var op=tokP[1];if(!op||mx0p&&(tokP[0]?!(M.infix_[op]||M.postfix_[op]):M.macro1s_[op]))if(!mx0p){mx0p=tokP[0];tokP=null}else{if(prec>=precAdj_)break;var mxP_tokP=parse_mxP_tokP(precAdj_,tokP),mx1=mxP_tokP[0];mx1||F.err(err_parse_mxP_tokP_1_);var e=M.newMe("mrow",[mx0p,mx1],docP_);if(M.hasClass(mx0p,"ma-repel-adj")||
M.hasClass(mx1,"ma-repel-adj")){if(!(op&&tokP[0]&&M.prefix_[op]<25))$(mx0p).after(M.spaceMe(".17em",docP_));M.addClass(e,"ma-repel-adj")}mx0p=e;tokP=mxP_tokP[1]}else{var moP=tokP[0];if(moP){var precL=M.infix_[op]||M.postfix_[op];if(precL&&prec>=precL)break;var precROpt=M.infix_[op]||!(mx0p&&M.postfix_[op])&&M.prefix_[op];if(!M.MathML&&!mx0p&&290<=precROpt&&precROpt<=350){$(moP).addClass("fm-large-op");moP.fmUp=0.85*1.3-0.25;moP.fmDn=0.35*1.3+0.25}var meTok_tokP=parseEmbel(tokP),a=[];meTok_tokP[0]||
F.err(err_parse_mxP_tokP_embel_);var extOp=meTok_tokP[0][0];tokP=meTok_tokP[1];if(mx0p)a.push(mx0p);a.push(extOp);if(precROpt){var mxP_tokP=parse_mxP_tokP(precROpt,tokP);if(mxP_tokP[0])a.push(mxP_tokP[0]);tokP=mxP_tokP[1];if(precROpt<25&&!mx0p){if(!tokP)tokP=scanTokP();if(tokP&&tokP[1]&&tokP[0]&&(M.postfix_[tokP[1]]||M.infix_[tokP[1]])==precROpt){a.push(tokP[0]);tokP=null}}}if(a.length==1)mx0p=a[0];else if(op=="/"&&mx0p&&a.length==3||op=="\u221a"&&!mx0p&&a.length==2)if(op=="\u221a"&&M.mtagName(a[0])==
"msup")mx0p=M.newMe("mroot",[a[1],M.mchilds(a[0])[1]],docP_);else{a.splice(a.length-2,1);mx0p=M.newMe(op=="/"?"mfrac":"msqrt",a,docP_)}else{var e=M.newMe("mrow",a,docP_);if(op=="\u2009"||(precL||precROpt)>=precAdj_);else{var k="";if(op=="=")k="infix-loose";else if(a.length==2){k=mx0p?"postfix":"prefix";if(M.infix_[op])k+="-tight";else{if(/^[\u2200\u2203\u2204\u2202\u2207]$/.test(op))k="quantifier";M.addClass(e,"ma-repel-adj")}}else if(mx0p){k=op==","||op==";"?"separator":precL<=270?"infix-loose":
"infix";if(op=="|"&&M.MathML&&moP.tagName=="mo"){moP.setAttribute("lspace",".11em");moP.setAttribute("rspace",".11em")}}if(!M.MathML&&k&&!moP.style.fontSize)$(extOp).addClass("fm-"+k)}mx0p=e}}else if(op=="}")break;else if(M.macro1s_[op]){!mx0p||F.err(err_parse_mxP_tokP_macro_);var mxP_tokP=M.macro1s_[op]();mx0p=mxP_tokP[0];tokP=mxP_tokP[1]}else{embelWs_[op]||F.err(err_parse_mxP_tokP_script_);if(prec>=999)break;var meTok_tokP=parseEmbel(mx0p&&[mx0p,null],tokP),meTok=meTok_tokP[0];meTok||F.err(err_parse_mxP_tokP_embel_2_);
tokP=meTok_tokP[1];var a=[meTok[0]],opP=meTok[1];if(opP){var precROpt=M.infix_[opP]||M.prefix_[opP];if(precROpt){var mxP_tokP=parse_mxP_tokP(precROpt,tokP);if(mxP_tokP[0])a.push(mxP_tokP[0]);tokP=mxP_tokP[1]}}mx0p=a.length==1?a[0]:M.newMe("mrow",a,docP_)}}}return[mx0p,tokP]}M.sToMathE=function(s,blockQ,docP){typeof s=="string"&&M.infix_[""]&&M.infix_[","]||F.err(err_sToMathE_1_);if(!docP)docP=document;if(M.MathML==null)M.MathML=M.canMathML();M.re_.lastIndex=0;s_=s;docP_=docP;precAdj_=M.infix_[""];
var mxP_tokP=parse_mxP_tokP(0);if(mxP_tokP[1])throw"Extra input:  "+mxP_tokP[1][1]+s.substring(M.re_.lastIndex);else if(M.re_.lastIndex<s.length)F.err(err_sToMathE_2_);var res=mxP_tokP[0];if(!(res&&F.elem(M.mtagName(res),["math","fmath"])))res=M.newMe("math",res,docP);if(blockQ){res.setAttribute("display","block");M.addClass(res,"ma-block")}else if(!M.MathML)$(res).addClass("fm-inline");res.setAttribute("alttext",s);return res};M.$mathQ=true;M.parseMath=function(nod){if(nod.nodeType==1&&nod.tagName!=
"SCRIPT")for(var p=nod.firstChild;p;){var restP=p.nextSibling;M.parseMath(p);p=restP}else if(nod.nodeType==3&&/[$\\]/.test(nod.data)){var doc=nod.ownerDocument,s=nod.data,a=[],t="",re=/\\([$\\])|\$\$?|\\[([]/g;while(true){var j=re.lastIndex,m=re.exec(s),k=m?m.index:s.length;if(j<k)t+=s.substring(j,k);if(m&&m[1])t+=m[1];else{var i=-1,z;if(m){z=m[0]=="\\("?"\\)":m[0]=="\\["?"\\]":m[0];if(re.lastIndex<s.length&&(m[0]!="$"||M.$mathQ))i=s.indexOf(z,re.lastIndex);if(i==-1){t+=m[0];continue}}if(t){a.push(doc.createTextNode(t));
t=""}if(!m)break;a.push(M.sToMathE(s.substring(re.lastIndex,i),m[0]=="$$"||m[0]=="\\[",doc));re.lastIndex=i+z.length}}F.iter(function(x){nod.parentNode.insertBefore(x,nod)},a);nod.parentNode.removeChild(nod)}};M.parseMathQ=true;$(function(){if(M.parseMathQ)try{M.parseMath(document.body)}catch(exc){alert(exc)}});return M}();var M;if(M===undefined)M=jqMath;