(function(e){if("function"==typeof bootstrap)bootstrap("katex",e);else if("object"==typeof exports)module.exports=e();else if("function"==typeof define&&define.amd)define(e);else if("undefined"!=typeof ses){if(!ses.ok())return;ses.makeKatex=e}else"undefined"!=typeof window?window.katex=e():global.katex=e()})(function(){var e,t,i,h,a;return function r(e,t,i){function h(l,s){if(!t[l]){if(!e[l]){var p=typeof require=="function"&&require;if(!s&&p)return p(l,!0);if(a)return a(l,!0);throw new Error("Cannot find module '"+l+"'")}var c=t[l]={exports:{}};e[l][0].call(c.exports,function(t){var i=e[l][1][t];return h(i?i:t)},c,c.exports,r,e,t,i)}return t[l].exports}var a=typeof require=="function"&&require;for(var l=0;l<i.length;l++)h(i[l]);return h}({1:[function(e,t,i){var h=e("./src/ParseError");var a=e("./src/Settings");var r=e("./src/buildTree");var l=e("./src/parseTree");var s=e("./src/utils");var p=function(e,t,i){s.clearNode(t);var h=new a(i);var p=l(e,h);var c=r(p,e,h).toNode();t.appendChild(c)};if(typeof document!=="undefined"){if(document.compatMode!=="CSS1Compat"){typeof console!=="undefined"&&console.warn("Warning: KaTeX doesn't work in quirks mode. Make sure your "+"website has a suitable doctype.");p=function(){throw new h("KaTeX doesn't work in quirks mode.")}}}var c=function(e,t){var i=new a(t);var h=l(e,i);return r(h,e,i).toMarkup()};t.exports={render:p,renderToString:c,ParseError:h}},{"./src/ParseError":4,"./src/Settings":6,"./src/buildTree":11,"./src/parseTree":17,"./src/utils":19}],2:[function(e,t,i){var h=e("./ParseError");function a(e){this._input=e}function r(e,t,i){this.text=e;this.data=t;this.position=i}var l=[/^[/|@.""`0-9a-zA-Z]/,/^[*+-]/,/^[=<>:]/,/^[,;]/,/^['\^_{}]/,/^[(\[]/,/^[)\]?!]/,/^~/];var s=[/^[a-zA-Z0-9`!@*()-=+\[\]'";:?\/.,]/,/^[{}]/,/^~/];var p=/^\s*/;var c=/^( +|\\  +)/;var n=/^\\(?:[a-zA-Z]+|.)/;a.prototype._innerLex=function(e,t,i){var a=this._input.slice(e);var l;if(i){l=a.match(p)[0];e+=l.length;a=a.slice(l.length)}else{l=a.match(c);if(l!==null){return new r(" ",null,e+l[0].length)}}if(a.length===0){return new r("EOF",null,e)}var s;if(s=a.match(n)){return new r(s[0],null,e+s[0].length)}else{for(var o=0;o<t.length;o++){var g=t[o];if(s=a.match(g)){return new r(s[0],null,e+s[0].length)}}}throw new h("Unexpected character: '"+a[0]+"'",this,e)};var o=/^(#[a-z0-9]+|[a-z]+)/i;a.prototype._innerLexColor=function(e){var t=this._input.slice(e);var i=t.match(p)[0];e+=i.length;t=t.slice(i.length);var a;if(a=t.match(o)){return new r(a[0],null,e+a[0].length)}else{throw new h("Invalid color",this,e)}};var g=/^(-?)\s*(\d+(?:\.\d*)?|\.\d+)\s*([a-z]{2})/;a.prototype._innerLexSize=function(e){var t=this._input.slice(e);var i=t.match(p)[0];e+=i.length;t=t.slice(i.length);var a;if(a=t.match(g)){var l=a[3];if(l!=="em"&&l!=="ex"){throw new h("Invalid unit: '"+l+"'",this,e)}return new r(a[0],{number:+(a[1]+a[2]),unit:l},e+a[0].length)}throw new h("Invalid size",this,e)};a.prototype._innerLexWhitespace=function(e){var t=this._input.slice(e);var i=t.match(p)[0];e+=i.length;return new r(i,null,e)};a.prototype.lex=function(e,t){if(t==="math"){return this._innerLex(e,l,true)}else if(t==="text"){return this._innerLex(e,s,false)}else if(t==="color"){return this._innerLexColor(e)}else if(t==="size"){return this._innerLexSize(e)}else if(t==="whitespace"){return this._innerLexWhitespace(e)}};t.exports=a},{"./ParseError":4}],3:[function(e,t,i){function h(e){this.style=e.style;this.color=e.color;this.size=e.size;this.phantom=e.phantom;if(e.parentStyle===undefined){this.parentStyle=e.style}else{this.parentStyle=e.parentStyle}if(e.parentSize===undefined){this.parentSize=e.size}else{this.parentSize=e.parentSize}}h.prototype.extend=function(e){var t={style:this.style,size:this.size,color:this.color,parentStyle:this.style,parentSize:this.size,phantom:this.phantom};for(var i in e){if(e.hasOwnProperty(i)){t[i]=e[i]}}return new h(t)};h.prototype.withStyle=function(e){return this.extend({style:e})};h.prototype.withSize=function(e){return this.extend({size:e})};h.prototype.withColor=function(e){return this.extend({color:e})};h.prototype.withPhantom=function(){return this.extend({phantom:true})};h.prototype.reset=function(){return this.extend({})};var a={"katex-blue":"#6495ed","katex-orange":"#ffa500","katex-pink":"#ff00af","katex-red":"#df0030","katex-green":"#28ae7b","katex-gray":"gray","katex-purple":"#9d38bd"};h.prototype.getColor=function(){if(this.phantom){return"transparent"}else{return a[this.color]||this.color}};t.exports=h},{}],4:[function(e,t,i){function h(e,t,i){var a="KaTeX parse error: "+e;if(t!==undefined&&i!==undefined){a+=" at position "+i+": ";var r=t._input;r=r.slice(0,i)+"\u0332"+r.slice(i);var l=Math.max(0,i-15);var s=i+15;a+=r.slice(l,s)}var p=new Error(a);p.name="ParseError";p.__proto__=h.prototype;p.position=i;return p}h.prototype.__proto__=Error.prototype;t.exports=h},{}],5:[function(e,t,i){var h=e("./functions");var a=e("./Lexer");var r=e("./symbols");var l=e("./utils");var s=e("./ParseError");function p(e,t){this.lexer=new a(e);this.settings=t}function c(e,t,i){this.type=e;this.value=t;this.mode=i}function n(e,t){this.result=e;this.position=t}function o(e,t){this.result=e;this.isFunction=t}p.prototype.expect=function(e,t){if(e.text!==t){throw new s("Expected '"+t+"', got '"+e.text+"'",this.lexer,e.position)}};p.prototype.parse=function(e){var t=this.parseInput(0,"math");return t.result};p.prototype.parseInput=function(e,t){var i=this.parseExpression(e,t,false,null);var h=this.lexer.lex(i.position,t);this.expect(h,"EOF");return i};p.prototype.parseExpression=function(e,t,i,h){var a=[];while(true){var r=this.lexer.lex(e,t);if(h!=null&&r.text===h){break}var l=this.parseAtom(e,t);if(!l){break}if(i&&l.result.type==="infix"){break}a.push(l.result);e=l.position}return new n(this.handleInfixNodes(a,t),e)};p.prototype.handleInfixNodes=function(e,t){var i=-1;var a;var r;for(var l=0;l<e.length;l++){var p=e[l];if(p.type==="infix"){if(i!==-1){throw new s("only one infix operator per group",this.lexer,-1)}i=l;r=p.value.replaceWith;a=h.funcs[r]}}if(i!==-1){var n,o;var g=e.slice(0,i);var d=e.slice(i+1);if(g.length===1&&g[0].type==="ordgroup"){n=g[0]}else{n=new c("ordgroup",g,t)}if(d.length===1&&d[0].type==="ordgroup"){o=d[0]}else{o=new c("ordgroup",d,t)}var u=a.handler(r,n,o);return[new c(u.type,u,t)]}else{return e}};var g=1;p.prototype.handleSupSubscript=function(e,t,i,a){var r=this.parseGroup(e,t);if(!r){throw new s("Expected group after '"+i+"'",this.lexer,e)}else if(r.isFunction){var l=h.funcs[r.result.result].greediness;if(l>g){return this.parseFunction(e,t)}else{throw new s("Got function '"+r.result.result+"' with no arguments "+"as "+a,this.lexer,e)}}else{return r.result}};p.prototype.parseAtom=function(e,t){var i=this.parseImplicitGroup(e,t);if(t==="text"){return i}var h;if(!i){h=e;i=undefined}else{h=i.position}var a;var r;var l;while(true){var p=this.lexer.lex(h,t);if(p.text==="^"){if(a){throw new s("Double superscript",this.lexer,h)}l=this.handleSupSubscript(p.position,t,p.text,"superscript");h=l.position;a=l.result}else if(p.text==="_"){if(r){throw new s("Double subscript",this.lexer,h)}l=this.handleSupSubscript(p.position,t,p.text,"subscript");h=l.position;r=l.result}else if(p.text==="'"){var o=new c("textord","\\prime",t);var g=[o];h=p.position;while((p=this.lexer.lex(h,t)).text==="'"){g.push(o);h=p.position}a=new c("ordgroup",g,t)}else{break}}if(a||r){return new n(new c("supsub",{base:i&&i.result,sup:a,sub:r},t),h)}else{return i}};var d=["\\tiny","\\scriptsize","\\footnotesize","\\small","\\normalsize","\\large","\\Large","\\LARGE","\\huge","\\Huge"];var u=["\\displaystyle","\\textstyle","\\scriptstyle","\\scriptscriptstyle"];p.prototype.parseImplicitGroup=function(e,t){var i=this.parseSymbol(e,t);if(!i||!i.result){return this.parseFunction(e,t)}var h=i.result.result;var a;if(h==="\\left"){var r=this.parseFunction(e,t);a=this.parseExpression(r.position,t,false,"}");var p=this.parseSymbol(a.position,t);if(p&&p.result.result==="\\right"){var o=this.parseFunction(a.position,t);return new n(new c("leftright",{body:a.result,left:r.result.value.value,right:o.result.value.value},t),o.position)}else{throw new s("Missing \\right",this.lexer,a.position)}}else if(h==="\\right"){return null}else if(l.contains(d,h)){a=this.parseExpression(i.result.position,t,false,"}");return new n(new c("sizing",{size:"size"+(l.indexOf(d,h)+1),value:a.result},t),a.position)}else if(l.contains(u,h)){a=this.parseExpression(i.result.position,t,true,"}");return new n(new c("styling",{style:h.slice(1,h.length-5),value:a.result},t),a.position)}else{return this.parseFunction(e,t)}};p.prototype.parseFunction=function(e,t){var i=this.parseGroup(e,t);if(i){if(i.isFunction){var a=i.result.result;var r=h.funcs[a];if(t==="text"&&!r.allowedInText){throw new s("Can't use function '"+a+"' in text mode",this.lexer,i.position)}var l=i.result.position;var p;var o=r.numArgs+r.numOptionalArgs;if(o>0){var g=r.greediness;var d=[a];var u=[l];for(var w=0;w<o;w++){var k=r.argTypes&&r.argTypes[w];var m;if(w<r.numOptionalArgs){if(k){m=this.parseSpecialGroup(l,k,t,true)}else{m=this.parseOptionalGroup(l,t)}if(!m){d.push(null);u.push(l);continue}}else{if(k){m=this.parseSpecialGroup(l,k,t)}else{m=this.parseGroup(l,t)}if(!m){throw new s("Expected group after '"+i.result.result+"'",this.lexer,l)}}var f;if(m.isFunction){var v=h.funcs[m.result.result].greediness;if(v>g){f=this.parseFunction(l,t)}else{throw new s("Got function '"+m.result.result+"' as "+"argument to function '"+i.result.result+"'",this.lexer,m.result.position-1)}}else{f=m.result}d.push(f.result);u.push(f.position);l=f.position}d.push(u);p=h.funcs[a].handler.apply(this,d)}else{p=h.funcs[a].handler.apply(this,[a])}return new n(new c(p.type,p,t),l)}else{return i.result}}else{return null}};p.prototype.parseSpecialGroup=function(e,t,i,h){if(t==="original"){t=i}if(t==="color"||t==="size"){var a=this.lexer.lex(e,i);if(h&&a.text!=="["){return null}this.expect(a,h?"[":"{");var r=this.lexer.lex(a.position,t);var l;if(t==="color"){l=r.text}else{l=r.data}var s=this.lexer.lex(r.position,i);this.expect(s,h?"]":"}");return new o(new n(new c(t,l,i),s.position),false)}else if(t==="text"){var p=this.lexer.lex(e,"whitespace");e=p.position}if(h){return this.parseOptionalGroup(e,t)}else{return this.parseGroup(e,t)}};p.prototype.parseGroup=function(e,t){var i=this.lexer.lex(e,t);if(i.text==="{"){var h=this.parseExpression(i.position,t,false,"}");var a=this.lexer.lex(h.position,t);this.expect(a,"}");return new o(new n(new c("ordgroup",h.result,t),a.position),false)}else{return this.parseSymbol(e,t)}};p.prototype.parseOptionalGroup=function(e,t){var i=this.lexer.lex(e,t);if(i.text==="["){var h=this.parseExpression(i.position,t,false,"]");var a=this.lexer.lex(h.position,t);this.expect(a,"]");return new o(new n(new c("ordgroup",h.result,t),a.position),false)}else{return null}};p.prototype.parseSymbol=function(e,t){var i=this.lexer.lex(e,t);if(h.funcs[i.text]){return new o(new n(i.text,i.position),true)}else if(r[t][i.text]){return new o(new n(new c(r[t][i.text].group,i.text,t),i.position),false)}else{return null}};t.exports=p},{"./Lexer":2,"./ParseError":4,"./functions":15,"./symbols":18,"./utils":19}],6:[function(e,t,i){function h(e,t){return e===undefined?t:e}function a(e){e=e||{};this.displayMode=h(e.displayMode,false)}t.exports=a},{}],7:[function(e,t,i){function h(e,t,i,h){this.id=e;this.size=t;this.cramped=h;this.sizeMultiplier=i}h.prototype.sup=function(){return u[w[this.id]]};h.prototype.sub=function(){return u[k[this.id]]};h.prototype.fracNum=function(){return u[m[this.id]]};h.prototype.fracDen=function(){return u[f[this.id]]};h.prototype.cramp=function(){return u[v[this.id]]};h.prototype.cls=function(){return g[this.size]+(this.cramped?" cramped":" uncramped")};h.prototype.reset=function(){return d[this.size]};var a=0;var r=1;var l=2;var s=3;var p=4;var c=5;var n=6;var o=7;var g=["displaystyle textstyle","textstyle","scriptstyle","scriptscriptstyle"];var d=["reset-textstyle","reset-textstyle","reset-scriptstyle","reset-scriptscriptstyle"];var u=[new h(a,0,1,false),new h(r,0,1,true),new h(l,1,1,false),new h(s,1,1,true),new h(p,2,.7,false),new h(c,2,.7,true),new h(n,3,.5,false),new h(o,3,.5,true)];var w=[p,c,p,c,n,o,n,o];var k=[c,c,c,c,o,o,o,o];var m=[l,s,p,c,n,o,n,o];var f=[s,s,c,c,o,o,o,o];var v=[r,r,s,s,c,c,o,o];t.exports={DISPLAY:u[a],TEXT:u[l],SCRIPT:u[p],SCRIPTSCRIPT:u[n]}},{}],8:[function(e,t,i){var h=e("./domTree");var a=e("./fontMetrics");var r=e("./symbols");var l=function(e,t,i,l,s){if(r[i][e]&&r[i][e].replace){e=r[i][e].replace}var p=a.getCharacterMetrics(e,t);var c;if(p){c=new h.symbolNode(e,p.height,p.depth,p.italic,p.skew,s)}else{typeof console!=="undefined"&&console.warn("No character metrics for '"+e+"' in style '"+t+"'");c=new h.symbolNode(e,0,0,0,0,s)}if(l){c.style.color=l}return c};var s=function(e,t,i,h){return l(e,"Math-Italic",t,i,h.concat(["mathit"]))};var p=function(e,t,i,h){if(r[t][e].font==="main"){return l(e,"Main-Regular",t,i,h)}else{return l(e,"AMS-Regular",t,i,h.concat(["amsrm"]))}};var c=function(e){var t=0;var i=0;var h=0;if(e.children){for(var a=0;a<e.children.length;a++){if(e.children[a].height>t){t=e.children[a].height}if(e.children[a].depth>i){i=e.children[a].depth}if(e.children[a].maxFontSize>h){h=e.children[a].maxFontSize}}}e.height=t;e.depth=i;e.maxFontSize=h};var n=function(e,t,i){var a=new h.span(e,t);c(a);if(i){a.style.color=i}return a};var o=function(e){var t=new h.documentFragment(e);c(t);return t};var g=function(e,t){var i=n([],[new h.symbolNode("\u200b")]);i.style.fontSize=t/e.style.sizeMultiplier+"em";var a=n(["fontsize-ensurer","reset-"+e.size,"size5"],[i]);return a};var d=function(e,t,i,a){var r;var l;var s;if(t==="individualShift"){var p=e;e=[p[0]];r=-p[0].shift-p[0].elem.depth;l=r;for(s=1;s<p.length;s++){var c=-p[s].shift-l-p[s].elem.depth;var o=c-(p[s-1].elem.height+p[s-1].elem.depth);l=l+c;e.push({type:"kern",size:o});e.push(p[s])}}else if(t==="top"){var d=i;for(s=0;s<e.length;s++){if(e[s].type==="kern"){d-=e[s].size}else{d-=e[s].elem.height+e[s].elem.depth}}r=d}else if(t==="bottom"){r=-i}else if(t==="shift"){r=-e[0].elem.depth-i}else if(t==="firstBaseline"){r=-e[0].elem.depth}else{r=0}var u=0;for(s=0;s<e.length;s++){if(e[s].type==="elem"){u=Math.max(u,e[s].elem.maxFontSize)}}var w=g(a,u);var k=[];l=r;for(s=0;s<e.length;s++){if(e[s].type==="kern"){l+=e[s].size}else{var m=e[s].elem;var f=-m.depth-l;l+=m.height+m.depth;var v=n([],[w,m]);v.height-=f;v.depth+=f;v.style.top=f+"em";k.push(v)}}var y=n(["baseline-fix"],[w,new h.symbolNode("\u200b")]);k.push(y);var b=n(["vlist"],k);b.height=Math.max(l,b.height);b.depth=Math.max(-r,b.depth);return b};var u={size1:.5,size2:.7,size3:.8,size4:.9,size5:1,size6:1.2,size7:1.44,size8:1.73,size9:2.07,size10:2.49};var w={"\\qquad":{size:"2em",className:"qquad"},"\\quad":{size:"1em",className:"quad"},"\\enspace":{size:"0.5em",className:"enspace"},"\\;":{size:"0.277778em",className:"thickspace"},"\\:":{size:"0.22222em",className:"mediumspace"},"\\,":{size:"0.16667em",className:"thinspace"},"\\!":{size:"-0.16667em",className:"negativethinspace"}};t.exports={makeSymbol:l,mathit:s,mathrm:p,makeSpan:n,makeFragment:o,makeVList:d,sizingMultiplier:u,spacingFunctions:w}},{"./domTree":13,"./fontMetrics":14,"./symbols":18}],9:[function(e,t,i){var h=e("./Options");var a=e("./ParseError");var r=e("./Style");var l=e("./buildCommon");var s=e("./delimiter");var p=e("./domTree");var c=e("./fontMetrics");var n=e("./utils");var o=l.makeSpan;var g=function(e,t,i){var h=[];for(var a=0;a<e.length;a++){var r=e[a];h.push(v(r,t,i));i=r}return h};var d={mathord:"mord",textord:"mord",bin:"mbin",rel:"mrel",text:"mord",open:"mopen",close:"mclose",inner:"minner",genfrac:"minner",spacing:"mord",punct:"mpunct",ordgroup:"mord",op:"mop",katex:"mord",overline:"mord",rule:"mord",leftright:"minner",sqrt:"mord",accent:"mord"};var u=function(e){if(e==null){return d.mathord}else if(e.type==="supsub"){return u(e.value.base)}else if(e.type==="llap"||e.type==="rlap"){return u(e.value)}else if(e.type==="color"){return u(e.value.value)}else if(e.type==="sizing"){return u(e.value.value)}else if(e.type==="styling"){return u(e.value.value)}else if(e.type==="delimsizing"){return d[e.value.delimType]}else{return d[e.type]}};var w=function(e,t){if(!e){return false}else if(e.type==="op"){return e.value.limits&&t.style.size===r.DISPLAY.size}else if(e.type==="accent"){return m(e.value.base)}else{return null}};var k=function(e){if(!e){return false}else if(e.type==="ordgroup"){if(e.value.length===1){return k(e.value[0])}else{return e}}else if(e.type==="color"){if(e.value.value.length===1){return k(e.value.value[0])}else{return e}}else{return e}};var m=function(e){var t=k(e);return t.type==="mathord"||t.type==="textord"||t.type==="bin"||t.type==="rel"||t.type==="inner"||t.type==="open"||t.type==="close"||t.type==="punct"};var f={mathord:function(e,t,i){return l.mathit(e.value,e.mode,t.getColor(),["mord"])},textord:function(e,t,i){return l.mathrm(e.value,e.mode,t.getColor(),["mord"])},bin:function(e,t,i){var h="mbin";var a=i;while(a&&a.type==="color"){var r=a.value.value;a=r[r.length-1]}if(!i||n.contains(["mbin","mopen","mrel","mop","mpunct"],u(a))){e.type="textord";h="mord"}return l.mathrm(e.value,e.mode,t.getColor(),[h])},rel:function(e,t,i){return l.mathrm(e.value,e.mode,t.getColor(),["mrel"])},open:function(e,t,i){return l.mathrm(e.value,e.mode,t.getColor(),["mopen"])},close:function(e,t,i){return l.mathrm(e.value,e.mode,t.getColor(),["mclose"])},inner:function(e,t,i){return l.mathrm(e.value,e.mode,t.getColor(),["minner"])},punct:function(e,t,i){return l.mathrm(e.value,e.mode,t.getColor(),["mpunct"])},ordgroup:function(e,t,i){return o(["mord",t.style.cls()],g(e.value,t.reset()))},text:function(e,t,i){return o(["text","mord",t.style.cls()],g(e.value.body,t.reset()))},color:function(e,t,i){var h=g(e.value.value,t.withColor(e.value.color),i);return new l.makeFragment(h)},supsub:function(e,t,i){if(w(e.value.base,t)){return f[e.value.base.type](e,t,i)}var h=v(e.value.base,t.reset());var a,s,n,g;if(e.value.sup){n=v(e.value.sup,t.withStyle(t.style.sup()));a=o([t.style.reset(),t.style.sup().cls()],[n])}if(e.value.sub){g=v(e.value.sub,t.withStyle(t.style.sub()));s=o([t.style.reset(),t.style.sub().cls()],[g])}var d,k;if(m(e.value.base)){d=0;k=0}else{d=h.height-c.metrics.supDrop;k=h.depth+c.metrics.subDrop}var y;if(t.style===r.DISPLAY){y=c.metrics.sup1}else if(t.style.cramped){y=c.metrics.sup3}else{y=c.metrics.sup2}var 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o([u(e.value.base)],[h,z])},genfrac:function(e,t,i){var h=t.style;if(e.value.size==="display"){h=r.DISPLAY}else if(e.value.size==="text"){h=r.TEXT}var a=h.fracNum();var p=h.fracDen();var n=v(e.value.numer,t.withStyle(a));var g=o([h.reset(),a.cls()],[n]);var d=v(e.value.denom,t.withStyle(p));var u=o([h.reset(),p.cls()],[d]);var w;if(e.value.hasBarLine){w=c.metrics.defaultRuleThickness/t.style.sizeMultiplier}else{w=0}var k;var m;var f;if(h.size===r.DISPLAY.size){k=c.metrics.num1;if(w>0){m=3*w}else{m=7*c.metrics.defaultRuleThickness}f=c.metrics.denom1}else{if(w>0){k=c.metrics.num2;m=w}else{k=c.metrics.num3;m=3*c.metrics.defaultRuleThickness}f=c.metrics.denom2}var y;if(w===0){var b=k-n.depth-(d.height-f);if(b<m){k+=.5*(m-b);f+=.5*(m-b)}y=l.makeVList([{type:"elem",elem:u,shift:f},{type:"elem",elem:g,shift:-k}],"individualShift",null,t)}else{var x=c.metrics.axisHeight;if(k-n.depth-(x+.5*w)<m){k+=m-(k-n.depth-(x+.5*w))}if(x-.5*w-(d.height-f)<m){f+=m-(x-.5*w-(d.height-f))}var 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o(["mop","op-limits"],[q])}else{if(e.value.symbol){d.style.top=u+"em"}return d}},katex:function(e,t,i){var h=o(["k"],[l.mathrm("K",e.mode)]);var a=o(["a"],[l.mathrm("A",e.mode)]);a.height=(a.height+.2)*.75;a.depth=(a.height-.2)*.75;var r=o(["t"],[l.mathrm("T",e.mode)]);var s=o(["e"],[l.mathrm("E",e.mode)]);s.height=s.height-.2155;s.depth=s.depth+.2155;var p=o(["x"],[l.mathrm("X",e.mode)]);return o(["katex-logo"],[h,a,r,s,p],t.getColor())},overline:function(e,t,i){var h=v(e.value.body,t.withStyle(t.style.cramp()));var a=c.metrics.defaultRuleThickness/t.style.sizeMultiplier;var s=o([t.style.reset(),r.TEXT.cls(),"overline-line"]);s.height=a;s.maxFontSize=1;var p=l.makeVList([{type:"elem",elem:h},{type:"kern",size:3*a},{type:"elem",elem:s},{type:"kern",size:a}],"firstBaseline",null,t);return o(["overline","mord"],[p],t.getColor())},sqrt:function(e,t,i){var h=v(e.value.body,t.withStyle(t.style.cramp()));var a=c.metrics.defaultRuleThickness/t.style.sizeMultiplier;var p=o([t.style.reset(),r.TEXT.cls(),"sqrt-line"],[],t.getColor());p.height=a;p.maxFontSize=1;var n=a;if(t.style.id<r.TEXT.id){n=c.metrics.xHeight}var g=a+n/4;var d=(h.height+h.depth)*t.style.sizeMultiplier;var u=d+g+a;var w=o(["sqrt-sign"],[s.customSizedDelim("\\surd",u,false,t,e.mode)],t.getColor());var k=w.height+w.depth-a;if(k>h.height+h.depth+g){g=(g+k-h.height-h.depth)/2}var m=-(h.height+g+a)+w.height;w.style.top=m+"em";w.height-=m;w.depth+=m;var f;if(h.height===0&&h.depth===0){f=o()}else{f=l.makeVList([{type:"elem",elem:h},{type:"kern",size:g},{type:"elem",elem:p},{type:"kern",size:a}],"firstBaseline",null,t)}return o(["sqrt","mord"],[w,f])},sizing:function(e,t,i){var h=g(e.value.value,t.withSize(e.value.size),i);var a=o(["mord"],[o(["sizing","reset-"+t.size,e.value.size,t.style.cls()],h)]);var r=l.sizingMultiplier[e.value.size];a.maxFontSize=r*t.style.sizeMultiplier;return a},styling:function(e,t,i){var h={display:r.DISPLAY,text:r.TEXT,script:r.SCRIPT,scriptscript:r.SCRIPTSCRIPT};var a=h[e.value.style];var l=g(e.value.value,t.withStyle(a),i);return o([t.style.reset(),a.cls()],l)},delimsizing:function(e,t,i){var h=e.value.value;if(h==="."){return o([d[e.value.delimType]])}return o([d[e.value.delimType]],[s.sizedDelim(h,e.value.size,t,e.mode)])},leftright:function(e,t,i){var h=g(e.value.body,t.reset());var a=0;var r=0;for(var l=0;l<h.length;l++){a=Math.max(h[l].height,a);r=Math.max(h[l].depth,r)}a*=t.style.sizeMultiplier;r*=t.style.sizeMultiplier;var p;if(e.value.left==="."){p=o(["nulldelimiter"])}else{p=s.leftRightDelim(e.value.left,a,r,t,e.mode)}h.unshift(p);var c;if(e.value.right==="."){c=o(["nulldelimiter"])}else{c=s.leftRightDelim(e.value.right,a,r,t,e.mode)}h.push(c);return o(["minner",t.style.cls()],h,t.getColor())},rule:function(e,t,i){var h=o(["mord","rule"],[],t.getColor());var a=0;if(e.value.shift){a=e.value.shift.number;if(e.value.shift.unit==="ex"){a*=c.metrics.xHeight}}var r=e.value.width.number;if(e.value.width.unit==="ex"){r*=c.metrics.xHeight}var l=e.value.height.number;if(e.value.height.unit==="ex"){l*=c.metrics.xHeight}a/=t.style.sizeMultiplier;r/=t.style.sizeMultiplier;l/=t.style.sizeMultiplier;h.style.borderRightWidth=r+"em";h.style.borderTopWidth=l+"em";h.style.bottom=a+"em";h.width=r;h.height=l+a;h.depth=-a;return h},accent:function(e,t,i){var h=e.value.base;var a;if(e.type==="supsub"){var r=e;e=r.value.base;h=e.value.base;r.value.base=h;a=v(r,t.reset(),i)}var s=v(h,t.withStyle(t.style.cramp()));var p;if(m(h)){var n=k(h);var g=v(n,t.withStyle(t.style.cramp()));p=g.skew}else{p=0}var d=Math.min(s.height,c.metrics.xHeight);var u=l.makeSymbol(e.value.accent,"Main-Regular","math",t.getColor());u.italic=0;var w=e.value.accent==="\\vec"?"accent-vec":null;var f=o(["accent-body",w],[o([],[u])]);f=l.makeVList([{type:"elem",elem:s},{type:"kern",size:-d},{type:"elem",elem:f}],"firstBaseline",null,t);f.children[1].style.marginLeft=2*p+"em";var y=o(["mord","accent"],[f]);if(a){a.children[0]=y;a.height=Math.max(y.height,a.height);a.classes[0]="mord";return a}else{return y}},phantom:function(e,t,i){var h=g(e.value.value,t.withPhantom(),i);return new l.makeFragment(h)}};var v=function(e,t,i){if(!e){return o()}if(f[e.type]){var h=f[e.type](e,t,i);var r;if(t.style!==t.parentStyle){r=t.style.sizeMultiplier/t.parentStyle.sizeMultiplier;h.height*=r;h.depth*=r}if(t.size!==t.parentSize){r=l.sizingMultiplier[t.size]/l.sizingMultiplier[t.parentSize];h.height*=r;h.depth*=r}return h}else{throw new a("Got group of unknown type: '"+e.type+"'")}};var y=function(e,t){var i=r.TEXT;if(t.displayMode){i=r.DISPLAY}var a=new h({style:i,size:"size5"});var l=g(e,a);var s=o(["base",a.style.cls()],l);var p=o(["strut"]);var c=o(["strut","bottom"]);p.style.height=s.height+"em";c.style.height=s.height+s.depth+"em";c.style.verticalAlign=-s.depth+"em";var n=o(["katex-html"],[p,c,s]);n.setAttribute("aria-hidden","true");return n};t.exports=y},{"./Options":3,"./ParseError":4,"./Style":7,"./buildCommon":8,"./delimiter":12,"./domTree":13,"./fontMetrics":14,"./utils":19}],10:[function(e,t,i){var h=e("./buildCommon");var a=e("./mathMLTree");var r=e("./ParseError");var l=e("./symbols");var s=h.makeSpan;var p=function(e,t){if(l[t][e]&&l[t][e].replace){e=l[t][e].replace}return new a.TextNode(e)};var c={mathord:function(e){var t=new a.MathNode("mi",[p(e.value,e.mode)]);return t},textord:function(e){var t=p(e.value,e.mode);var i;if(/[0-9]/.test(e.value)){i=new a.MathNode("mn",[t])}else{i=new a.MathNode("mi",[t]);i.setAttribute("mathvariant","normal")}return i},bin:function(e){var t=new a.MathNode("mo",[p(e.value,e.mode)]);return t},rel:function(e){var t=new a.MathNode("mo",[p(e.value,e.mode)]);return t},open:function(e){var t=new a.MathNode("mo",[p(e.value,e.mode)]);return t},close:function(e){var t=new a.MathNode("mo",[p(e.value,e.mode)]);return t},inner:function(e){var t=new a.MathNode("mo",[p(e.value,e.mode)]);return t},punct:function(e){var t=new a.MathNode("mo",[p(e.value,e.mode)]);t.setAttribute("separator","true");return t},ordgroup:function(e){var t=n(e.value);var i=new a.MathNode("mrow",t);return i},text:function(e){var t=n(e.value.body);var i=new a.MathNode("mtext",t);return i},color:function(e){var t=n(e.value.value);var i=new a.MathNode("mstyle",t);i.setAttribute("mathcolor",e.value.color);return i},supsub:function(e){var t=[o(e.value.base)];if(e.value.sub){t.push(o(e.value.sub))}if(e.value.sup){t.push(o(e.value.sup))}var i;if(!e.value.sub){i="msup"}else if(!e.value.sup){i="msub"}else{i="msubsup"}var h=new a.MathNode(i,t);return h},genfrac:function(e){var t=new a.MathNode("mfrac",[o(e.value.numer),o(e.value.denom)]);if(!e.value.hasBarLine){t.setAttribute("linethickness","0px")}if(e.value.leftDelim!=null||e.value.rightDelim!=null){var i=[];if(e.value.leftDelim!=null){var h=new a.MathNode("mo",[new a.TextNode(e.value.leftDelim)]);h.setAttribute("fence","true");i.push(h)}i.push(t);if(e.value.rightDelim!=null){var r=new a.MathNode("mo",[new a.TextNode(e.value.rightDelim)]);r.setAttribute("fence","true");i.push(r)}var l=new a.MathNode("mrow",i);return l}return t},sqrt:function(e){var t=new a.MathNode("msqrt",[o(e.value.body)]);return t},leftright:function(e){var t=n(e.value.body);if(e.value.left!=="."){var i=new a.MathNode("mo",[p(e.value.left,e.mode)]);i.setAttribute("fence","true");t.unshift(i)}if(e.value.right!=="."){var h=new a.MathNode("mo",[p(e.value.right,e.mode)]);h.setAttribute("fence","true");t.push(h)}var r=new a.MathNode("mrow",t);return r},accent:function(e){var t=new a.MathNode("mo",[p(e.value.accent,e.mode)]);var i=new a.MathNode("mover",[o(e.value.base),t]);i.setAttribute("accent","true");return i},spacing:function(e){var t;if(e.value==="\\ "||e.value==="\\space"||e.value===" "||e.value==="~"){t=new a.MathNode("mtext",[new a.TextNode("\xa0")])}else{t=new a.MathNode("mspace");t.setAttribute("width",h.spacingFunctions[e.value].size)}return t},op:function(e){var t;if(e.value.symbol){t=new a.MathNode("mo",[p(e.value.body,e.mode)])}else{t=new a.MathNode("mi",[new a.TextNode(e.value.body.slice(1))])}return t},katex:function(e){var t=new a.MathNode("mtext",[new a.TextNode("KaTeX")]);return t},delimsizing:function(e){var t=[];if(e.value.value!=="."){t.push(p(e.value.value,e.mode))}var i=new a.MathNode("mo",t);if(e.value.delimType==="open"||e.value.delimType==="close"){i.setAttribute("fence","true")}else{i.setAttribute("fence","false")}return i},styling:function(e){var t=n(e.value.value,t);var i=new a.MathNode("mstyle",t);var h={display:["0","true"],text:["0","false"],script:["1","false"],scriptscript:["2","false"]};var r=h[e.value.style];i.setAttribute("scriptlevel",r[0]);i.setAttribute("displaystyle",r[1]);return i},sizing:function(e){var t=n(e.value.value);
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