(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:]/,/^[,;]/,/^['\^_{}]/,/^[(\[]/,/^[)\]?!]/,/^~/];var s=[/^[a-zA-Z0-9`!@*()-=+\[\]'";:?\/.,]/,/^[{}]/,/^~/];var p=/^\s*/;var c=/^( +|\\ +)/;var o=/^\\(?:[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(o)){return new r(s[0],null,e+s[0].length)}else{for(var n=0;ng){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 n=new c("textord","\\prime",t);var g=[n];h=p.position;while((p=this.lexer.lex(h,t)).text==="'"){g.push(n);h=p.position}a=new c("ordgroup",g,t)}else{break}}if(a||r){return new o(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 n=this.parseFunction(a.position,t);return new o(new c("leftright",{body:a.result,left:r.result.value.value,right:n.result.value.value},t),n.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 o(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 o(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 n=r.numArgs+r.numOptionalArgs;if(n>0){var g=r.greediness;var d=[a];var u=[l];for(var w=0;wg){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 o(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 n(new o(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 n(new o(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 n(new o(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 n(new o(i.text,i.position),true)}else if(r[t][i.text]){return new n(new o(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 o=6;var n=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(o,3,.5,false),new h(n,3,.5,true)];var w=[p,c,p,c,o,n,o,n];var k=[c,c,c,c,n,n,n,n];var m=[l,s,p,c,o,n,o,n];var f=[s,s,c,c,n,n,n,n];var v=[r,r,s,s,c,c,n,n];t.exports={DISPLAY:u[a],TEXT:u[l],SCRIPT:u[p],SCRIPTSCRIPT:u[o]}},{}],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;at){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 o=function(e,t,i){var a=new h.span(e,t);c(a);if(i){a.style.color=i}return a};var n=function(e){var t=new h.documentFragment(e);c(t);return t};var g=function(e,t){var i=o([],[new h.symbolNode("\u200b")]);i.style.fontSize=t/e.style.sizeMultiplier+"em";var a=o(["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;s0){d+=M;k-=M}}z=l.makeVList([{type:"elem",elem:s,shift:k},{type:"elem",elem:a,shift:-d}],"individualShift",null,t);if(h instanceof p.symbolNode){z.children[0].style.marginLeft=-h.italic+"em"}z.children[0].style.marginRight=x;z.children[1].style.marginRight=x}return n([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 o=v(e.value.numer,t.withStyle(a));var g=n([h.reset(),a.cls()],[o]);var d=v(e.value.denom,t.withStyle(p));var u=n([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-o.depth-(d.height-f);if(bh.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=n()}else{f=l.makeVList([{type:"elem",elem:h},{type:"kern",size:g},{type:"elem",elem:p},{type:"kern",size:a}],"firstBaseline",null,t)}return n(["sqrt","mord"],[w,f])},sizing:function(e,t,i){var h=g(e.value.value,t.withSize(e.value.size),i);var a=n(["mord"],[n(["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 n([t.style.reset(),a.cls()],l)},delimsizing:function(e,t,i){var h=e.value.value;if(h==="."){return n([d[e.value.delimType]])}return n([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","\\langle","\\rangle","/","\\backslash"];var y=[0,1.2,1.8,2.4,3];var b=function(e,t,i,a){if(e==="<"){e="\\langle"}else if(e===">"){e="\\rangle"}if(p.contains(m,e)||p.contains(v,e)){return u(e,t,false,i,a)}else if(p.contains(f,e)){return k(e,y[t],false,i,a)}else{throw new h("Illegal delimiter: '"+e+"'")}};var x=[{type:"small",style:a.SCRIPTSCRIPT},{type:"small",style:a.SCRIPT},{type:"small",style:a.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4}];var z=[{type:"small",style:a.SCRIPTSCRIPT},{type:"small",style:a.SCRIPT},{type:"small",style:a.TEXT},{type:"stack"}];var S=[{type:"small",style:a.SCRIPTSCRIPT},{type:"small",style:a.SCRIPT},{type:"small",style:a.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4},{type:"stack"}];var M=function(e){if(e.type==="small"){return"Main-Regular"}else if(e.type==="large"){return"Size"+e.size+"-Regular"}else if(e.type==="stack"){return"Size4-Regular"}};var q=function(e,t,i,h){var a=Math.min(2,3-h.style.size);for(var r=a;rt){return i[r]}}return i[i.length-1]};var T=function(e,t,i,h,a){if(e==="<"){e="\\langle"}else if(e===">"){e="\\rangle"}var r;if(p.contains(v,e)){r=x}else if(p.contains(m,e)){r=S}else{r=z}var l=q(e,t,r,h);if(l.type==="small"){return d(e,l.style,i,h,a)}else if(l.type==="large"){return u(e,l.size,i,h,a)}else if(l.type==="stack"){return k(e,t,i,h,a)}};var N=function(e,t,i,h,a){var r=l.metrics.axisHeight*h.style.sizeMultiplier;var s=901;var p=5/l.metrics.ptPerEm;var c=Math.max(t-r,i+r);var o=Math.max(c/500*s,2*c-p);return T(e,o,true,h,a)};t.exports={sizedDelim:b,customSizedDelim:T,leftRightDelim:N}},{"./ParseError":4,"./Style":7,"./buildCommon":8,"./fontMetrics":14,"./symbols":18,"./utils":19}],13:[function(e,t,i){var h=e("./utils");var a=function(e){e=e.slice();for(var t=e.length-1;t>=0;t--){if(!e[t]){e.splice(t,1)}}return e.join(" ")};function r(e,t,i,h,a,r){this.classes=e||[];this.children=t||[];this.height=i||0;this.depth=h||0;this.maxFontSize=a||0;this.style=r||{};this.attributes={}}r.prototype.setAttribute=function(e,t){this.attributes[e]=t};r.prototype.toNode=function(){var e=document.createElement("span");e.className=a(this.classes);for(var t in this.style){if(Object.prototype.hasOwnProperty.call(this.style,t)){e.style[t]=this.style[t]}}for(var i in this.attributes){if(Object.prototype.hasOwnProperty.call(this.attributes,i)){e.setAttribute(i,this.attributes[i])}}for(var h=0;h";return e};function 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