diff --git a/editions/tw5.com/tiddlers/releasenotes/Release 5.1.9.tid b/editions/tw5.com/tiddlers/releasenotes/Release 5.1.9.tid
index ebc0f62f7..581515380 100644
--- a/editions/tw5.com/tiddlers/releasenotes/Release 5.1.9.tid	
+++ b/editions/tw5.com/tiddlers/releasenotes/Release 5.1.9.tid	
@@ -118,6 +118,12 @@ and "open new window" <span title="$:/core/images/open-window">{{$:/core/images/
 
 !! Hackability Improvements
 
+* [[Updated|https://github.com/Jermolene/TiddlyWiki5/commit/]] to ~KaTeX version 0.4.3, with the following editions since the previous 0.2.0 release that was distributed with TiddlyWiki 5.1.8:
+** Added support for some `\begin`/`\end` environments, including support for `array`, `matrix`, `pmatrix`, `bmatrix`, `vmatrix`, and `Vmatrix`
+** Added support for optional `\sqrt` arguments, e.g. `\sqrt[3]{x}`
+** Add support for `\phantom`
+** Add `\#`, `\&`
+** See the [[KaTeX GitHub page|https://github.com/Khan/KaTeX/releases]] for full release details
 * [[Extended|https://github.com/Jermolene/TiddlyWiki5/commit/9b4b9d4d8878b8646112de7b5a7b282f50a4d1cb]] ActionSendMessageWidget for more flexible passing of named parameters via new `$name` and `$value` attributes
 * [[Added|https://github.com/Jermolene/TiddlyWiki5/commit/6942efa6289c9f1d99ea9f63972aa314ac06a8b1]] styling for `<kbd>` elements such as <kbd>escape</kbd> and <kbd>enter</kbd>
 * [[Added|https://github.com/Jermolene/TiddlyWiki5/commit/637aaca2fc3563cc695ab5603fc0cde222a770da]] subtle new "pin stripe" pattern for page background - <$button>
diff --git a/plugins/tiddlywiki/katex/files/README.md b/plugins/tiddlywiki/katex/files/README.md
index 9a1c4df0d..780604158 100644
--- a/plugins/tiddlywiki/katex/files/README.md
+++ b/plugins/tiddlywiki/katex/files/README.md
@@ -14,8 +14,8 @@ KaTeX supports all major browsers, including Chrome, Safari, Firefox, Opera, and
 You can [download KaTeX](https://github.com/khan/katex/releases) and host it on your server or include the `katex.min.js` and `katex.min.css` files on your page directly from a CDN:
 
 ```html
-<link rel="stylesheet" href="//cdnjs.cloudflare.com/ajax/libs/KaTeX/0.1.1/katex.min.css">
-<script src="//cdnjs.cloudflare.com/ajax/libs/KaTeX/0.1.1/katex.min.js"></script>
+<link rel="stylesheet" href="//cdnjs.cloudflare.com/ajax/libs/KaTeX/0.3.0/katex.min.css">
+<script src="//cdnjs.cloudflare.com/ajax/libs/KaTeX/0.3.0/katex.min.js"></script>
 ```
 
 #### In-browser rendering
@@ -26,6 +26,8 @@ Call `katex.render` with a TeX expression and a DOM element to render into:
 katex.render("c = \\pm\\sqrt{a^2 + b^2}", element);
 ```
 
+If KaTeX can't parse the expression, it throws a `katex.ParseError` error.
+
 #### Server side rendering or rendering to a string
 
 To generate HTML on the server or to generate an HTML string of the rendered math, you can use `katex.renderToString`:
@@ -35,7 +37,7 @@ var html = katex.renderToString("c = \\pm\\sqrt{a^2 + b^2}");
 // '<span class="katex">...</span>'
 ```
 
-Make sure to include the CSS and font files, but there is no need to include the JavaScript.
+Make sure to include the CSS and font files, but there is no need to include the JavaScript. Like `render`, `renderToString` throws if it can't parse the expression.
 
 #### Rendering options
 
@@ -49,6 +51,10 @@ For example:
 katex.render("c = \\pm\\sqrt{a^2 + b^2}", element, { displayMode: true });
 ```
 
+#### Automatic rendering of math on a page
+
+Math on the page can be automatically rendered using the auto-render extension. See [the Auto-render README](contrib/auto-render/README.md) for more information.
+
 ## Contributing
 
 See [CONTRIBUTING.md](CONTRIBUTING.md)
diff --git a/plugins/tiddlywiki/katex/files/katex.min.css b/plugins/tiddlywiki/katex/files/katex.min.css
index db26499df..f582ed45d 100644
--- a/plugins/tiddlywiki/katex/files/katex.min.css
+++ b/plugins/tiddlywiki/katex/files/katex.min.css
@@ -1 +1 @@
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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 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 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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;w<n;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 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;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 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;s<p.length;s++){var c=-p[s].shift-l-p[s].elem.depth;var n=c-(p[s-1].elem.height+p[s-1].elem.depth);l=l+c;e.push({type:"kern",size:n});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=o([],[w,m]);v.height-=f;v.depth+=f;v.style.top=f+"em";k.push(v)}}var y=o(["baseline-fix"],[w,new h.symbolNode("\u200b")]);k.push(y);var b=o(["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:o,makeFragment:n,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 o=e("./utils");var n=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||o.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 n(["mord",t.style.cls()],g(e.value,t.reset()))},text:function(e,t,i){return n(["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,o,g;if(e.value.sup){o=v(e.value.sup,t.withStyle(t.style.sup()));a=n([t.style.reset(),t.style.sup().cls()],[o])}if(e.value.sub){g=v(e.value.sub,t.withStyle(t.style.sub()));s=n([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 b=r.TEXT.sizeMultiplier*t.style.sizeMultiplier;var x=.5/c.metrics.ptPerEm/b+"em";var z;if(!e.value.sup){k=Math.max(k,c.metrics.sub1,g.height-.8*c.metrics.xHeight);z=l.makeVList([{type:"elem",elem:s}],"shift",k,t);z.children[0].style.marginRight=x;if(h instanceof p.symbolNode){z.children[0].style.marginLeft=-h.italic+"em"}}else if(!e.value.sub){d=Math.max(d,y,o.depth+.25*c.metrics.xHeight);z=l.makeVList([{type:"elem",elem:a}],"shift",-d,t);z.children[0].style.marginRight=x}else{d=Math.max(d,y,o.depth+.25*c.metrics.xHeight);k=Math.max(k,c.metrics.sub2);var S=c.metrics.defaultRuleThickness;if(d-o.depth-(g.height-k)<4*S){k=4*S-(d-o.depth)+g.height;var M=.8*c.metrics.xHeight-(d-o.depth);if(M>0){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(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-o.depth-(x+.5*w)<m){k+=m-(k-o.depth-(x+.5*w))}if(x-.5*w-(d.height-f)<m){f+=m-(x-.5*w-(d.height-f))}var z=n([t.style.reset(),r.TEXT.cls(),"frac-line"]);z.height=w;var S=-(x-.5*w);y=l.makeVList([{type:"elem",elem:u,shift:f},{type:"elem",elem:z,shift:S},{type:"elem",elem:g,shift:-k}],"individualShift",null,t)}y.height*=h.sizeMultiplier/t.style.sizeMultiplier;y.depth*=h.sizeMultiplier/t.style.sizeMultiplier;var M=[n(["mfrac"],[y])];var q;if(h.size===r.DISPLAY.size){q=c.metrics.delim1}else{q=c.metrics.getDelim2(h)}if(e.value.leftDelim!=null){M.unshift(s.customSizedDelim(e.value.leftDelim,q,true,t.withStyle(h),e.mode))}if(e.value.rightDelim!=null){M.push(s.customSizedDelim(e.value.rightDelim,q,true,t.withStyle(h),e.mode))}return n(["minner",t.style.reset(),h.cls()],M,t.getColor())},spacing:function(e,t,i){if(e.value==="\\ "||e.value==="\\space"||e.value===" "||e.value==="~"){return n(["mord","mspace"],[l.mathrm(e.value,e.mode)])}else{return n(["mord","mspace",l.spacingFunctions[e.value].className])}},llap:function(e,t,i){var h=n(["inner"],[v(e.value.body,t.reset())]);var a=n(["fix"],[]);return n(["llap",t.style.cls()],[h,a])},rlap:function(e,t,i){var h=n(["inner"],[v(e.value.body,t.reset())]);var a=n(["fix"],[]);return n(["rlap",t.style.cls()],[h,a])},op:function(e,t,i){var h;var a;var s=false;if(e.type==="supsub"){h=e.value.sup;a=e.value.sub;e=e.value.base;s=true}var p=["\\smallint"];var g=false;if(t.style.size===r.DISPLAY.size&&e.value.symbol&&!o.contains(p,e.value.body)){g=true}var d;var u=0;var w=0;if(e.value.symbol){var k=g?"Size2-Regular":"Size1-Regular";d=l.makeSymbol(e.value.body,k,"math",t.getColor(),["op-symbol",g?"large-op":"small-op","mop"]);u=(d.height-d.depth)/2-c.metrics.axisHeight*t.style.sizeMultiplier;w=d.italic}else{var m=[];for(var f=1;f<e.value.body.length;f++){m.push(l.mathrm(e.value.body[f],e.mode))}d=n(["mop"],m,t.getColor())}if(s){d=n([],[d]);var y,b,x,z;if(h){var S=v(h,t.withStyle(t.style.sup()));y=n([t.style.reset(),t.style.sup().cls()],[S]);b=Math.max(c.metrics.bigOpSpacing1,c.metrics.bigOpSpacing3-S.depth)}if(a){var M=v(a,t.withStyle(t.style.sub()));x=n([t.style.reset(),t.style.sub().cls()],[M]);z=Math.max(c.metrics.bigOpSpacing2,c.metrics.bigOpSpacing4-M.height)}var q,T,N;if(!h){T=d.height-u;q=l.makeVList([{type:"kern",size:c.metrics.bigOpSpacing5},{type:"elem",elem:x},{type:"kern",size:z},{type:"elem",elem:d}],"top",T,t);q.children[0].style.marginLeft=-w+"em"}else if(!a){N=d.depth+u;q=l.makeVList([{type:"elem",elem:d},{type:"kern",size:b},{type:"elem",elem:y},{type:"kern",size:c.metrics.bigOpSpacing5}],"bottom",N,t);q.children[1].style.marginLeft=w+"em"}else if(!h&&!a){return d}else{N=c.metrics.bigOpSpacing5+x.height+x.depth+z+d.depth+u;q=l.makeVList([{type:"kern",size:c.metrics.bigOpSpacing5},{type:"elem",elem:x},{type:"kern",size:z},{type:"elem",elem:d},{type:"kern",size:b},{type:"elem",elem:y},{type:"kern",size:c.metrics.bigOpSpacing5}],"bottom",N,t);q.children[0].style.marginLeft=-w+"em";q.children[2].style.marginLeft=w+"em"}return n(["mop","op-limits"],[q])}else{if(e.value.symbol){d.style.top=u+"em"}return d}},katex:function(e,t,i){var h=n(["k"],[l.mathrm("K",e.mode)]);var a=n(["a"],[l.mathrm("A",e.mode)]);a.height=(a.height+.2)*.75;a.depth=(a.height-.2)*.75;var r=n(["t"],[l.mathrm("T",e.mode)]);var s=n(["e"],[l.mathrm("E",e.mode)]);s.height=s.height-.2155;s.depth=s.depth+.2155;var p=n(["x"],[l.mathrm("X",e.mode)]);return n(["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=n([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 n(["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=n([t.style.reset(),r.TEXT.cls(),"sqrt-line"],[],t.getColor());p.height=a;p.maxFontSize=1;var o=a;if(t.style.id<r.TEXT.id){o=c.metrics.xHeight}var g=a+o/4;var d=(h.height+h.depth)*t.style.sizeMultiplier;var u=d+g+a;var w=n(["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=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<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=n(["nulldelimiter"])}else{p=s.leftRightDelim(e.value.left,a,r,t,e.mode)}h.unshift(p);var c;if(e.value.right==="."){c=n(["nulldelimiter"])}else{c=s.leftRightDelim(e.value.right,a,r,t,e.mode)}h.push(c);return n(["minner",t.style.cls()],h,t.getColor())},rule:function(e,t,i){var h=n(["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 o=k(h);var g=v(o,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=n(["accent-body",w],[n([],[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=n(["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}}};var v=function(e,t,i){if(!e){return n()}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(i,"size5","");var l=g(e,a);var s=n(["base",a.style.cls()],l);var p=n(["strut"]);var c=n(["strut","bottom"]);p.style.height=s.height+"em";c.style.height=s.height+s.depth+"em";c.style.verticalAlign=-s.depth+"em";var o=n(["katex-html"],[p,c,s]);o.setAttribute("aria-hidden","true");return o};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=o(e.value);var i=new a.MathNode("mrow",t);return i},text:function(e){var t=o(e.value.body);var i=new a.MathNode("mtext",t);return i},color:function(e){var t=o(e.value.value);var i=new a.MathNode("mstyle",t);i.setAttribute("mathcolor",e.value.color);return i},supsub:function(e){var t=[n(e.value.base)];if(e.value.sub){t.push(n(e.value.sub))}if(e.value.sup){t.push(n(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",[n(e.value.numer),n(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",[n(e.value.body)]);return t},leftright:function(e){var t=o(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",[n(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("mo",[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=o(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=o(e.value.value);var i=new a.MathNode("mstyle",t);i.setAttribute("mathsize",h.sizingMultiplier[e.value.size]+"em");return i},overline:function(e){var t=new a.MathNode("mo",[new a.TextNode("\u203e")]);t.setAttribute("stretchy","true");var i=new a.MathNode("mover",[n(e.value.body),t]);i.setAttribute("accent","true");return i},rule:function(e){var t=new a.MathNode("mrow");return t},llap:function(e){var t=new a.MathNode("mpadded",[n(e.value.body)]);
-t.setAttribute("lspace","-1width");t.setAttribute("width","0px");return t},rlap:function(e){var t=new a.MathNode("mpadded",[n(e.value.body)]);t.setAttribute("width","0px");return t}};var o=function(e){var t=[];for(var i=0;i<e.length;i++){var h=e[i];t.push(n(h))}return t};var n=function(e){if(!e){return new a.MathNode("mrow")}if(c[e.type]){return c[e.type](e)}else{throw new r("Got group of unknown type: '"+e.type+"'")}};var g=function(e,t,i){var h=o(e);var r=new a.MathNode("mrow",h);var l=new a.MathNode("annotation",[new a.TextNode(t)]);l.setAttribute("encoding","application/x-tex");var p=new a.MathNode("semantics",[r,l]);var c=new a.MathNode("math",[p]);return s(["katex-mathml"],[c])};t.exports=g},{"./ParseError":4,"./buildCommon":8,"./mathMLTree":16,"./symbols":18}],11:[function(e,t,i){var h=e("./buildHTML");var a=e("./buildMathML");var r=e("./buildCommon");var l=r.makeSpan;var s=function(e,t,i){var r=a(e,t,i);var s=h(e,i);var p=l(["katex"],[r,s]);if(i.displayMode){return l(["katex-display"],[p])}else{return p}};t.exports=s},{"./buildCommon":8,"./buildHTML":9,"./buildMathML":10}],12:[function(e,t,i){var h=e("./ParseError");var a=e("./Style");var r=e("./buildCommon");var l=e("./fontMetrics");var s=e("./symbols");var p=e("./utils");var c=r.makeSpan;var o=function(e,t){if(s.math[e]&&s.math[e].replace){return l.getCharacterMetrics(s.math[e].replace,t)}else{return l.getCharacterMetrics(e,t)}};var n=function(e,t,i){return r.makeSymbol(e,"Size"+t+"-Regular",i)};var g=function(e,t,i){var h=c(["style-wrap",i.style.reset(),t.cls()],[e]);var a=t.sizeMultiplier/i.style.sizeMultiplier;h.height*=a;h.depth*=a;h.maxFontSize=t.sizeMultiplier;return h};var d=function(e,t,i,h,a){var s=r.makeSymbol(e,"Main-Regular",a);var p=g(s,t,h);if(i){var c=(1-h.style.sizeMultiplier/t.sizeMultiplier)*l.metrics.axisHeight;p.style.top=c+"em";p.height-=c;p.depth+=c}return p};var u=function(e,t,i,h,r){var s=n(e,t,r);var p=g(c(["delimsizing","size"+t],[s],h.getColor()),a.TEXT,h);if(i){var o=(1-h.style.sizeMultiplier)*l.metrics.axisHeight;p.style.top=o+"em";p.height-=o;p.depth+=o}return p};var w=function(e,t,i){var h;if(t==="Size1-Regular"){h="delim-size1"}else if(t==="Size4-Regular"){h="delim-size4"}var a=c(["delimsizinginner",h],[c([],[r.makeSymbol(e,t,i)])]);return{type:"elem",elem:a}};var k=function(e,t,i,h,s){var p,n,d,u;p=d=u=e;n=null;var k="Size1-Regular";if(e==="\\uparrow"){d=u="\u23d0"}else if(e==="\\Uparrow"){d=u="\u2016"}else if(e==="\\downarrow"){p=d="\u23d0"}else if(e==="\\Downarrow"){p=d="\u2016"}else if(e==="\\updownarrow"){p="\\uparrow";d="\u23d0";u="\\downarrow"}else if(e==="\\Updownarrow"){p="\\Uparrow";d="\u2016";u="\\Downarrow"}else if(e==="["||e==="\\lbrack"){p="\u23a1";d="\u23a2";u="\u23a3";k="Size4-Regular"}else if(e==="]"||e==="\\rbrack"){p="\u23a4";d="\u23a5";u="\u23a6";k="Size4-Regular"}else if(e==="\\lfloor"){d=p="\u23a2";u="\u23a3";k="Size4-Regular"}else if(e==="\\lceil"){p="\u23a1";d=u="\u23a2";k="Size4-Regular"}else if(e==="\\rfloor"){d=p="\u23a5";u="\u23a6";k="Size4-Regular"}else if(e==="\\rceil"){p="\u23a4";d=u="\u23a5";k="Size4-Regular"}else if(e==="("){p="\u239b";d="\u239c";u="\u239d";k="Size4-Regular"}else if(e===")"){p="\u239e";d="\u239f";u="\u23a0";k="Size4-Regular"}else if(e==="\\{"||e==="\\lbrace"){p="\u23a7";n="\u23a8";u="\u23a9";d="\u23aa";k="Size4-Regular"}else if(e==="\\}"||e==="\\rbrace"){p="\u23ab";n="\u23ac";u="\u23ad";d="\u23aa";k="Size4-Regular"}else if(e==="\\surd"){p="\ue001";u="\u23b7";d="\ue000";k="Size4-Regular"}var m=o(p,k);var f=m.height+m.depth;var v=o(d,k);var y=v.height+v.depth;var b=o(u,k);var x=b.height+b.depth;var z,S;if(n!==null){z=o(n,k);S=z.height+z.depth}var M=f+x;if(n!==null){M+=S}while(M<t){M+=y;if(n!==null){M+=y}}var q=l.metrics.axisHeight;if(i){q*=h.style.sizeMultiplier}var T=M/2-q;var N=[];N.push(w(u,k,s));var A;if(n===null){var R=M-f-x;var C=Math.ceil(R/y);for(A=0;A<C;A++){N.push(w(d,k,s))}}else{var L=M/2-f-S/2;var E=Math.ceil(L/y);var P=M/2-f-S/2;var D=Math.ceil(P/y);for(A=0;A<E;A++){N.push(w(d,k,s))}N.push(w(n,k,s));for(A=0;A<D;A++){N.push(w(d,k,s))}}N.push(w(p,k,s));var I=r.makeVList(N,"bottom",T,h);return g(c(["delimsizing","mult"],[I],h.getColor()),a.TEXT,h)};var m=["(",")","[","\\lbrack","]","\\rbrack","\\{","\\lbrace","\\}","\\rbrace","\\lfloor","\\rfloor","\\lceil","\\rceil","\\surd"];var f=["\\uparrow","\\downarrow","\\updownarrow","\\Uparrow","\\Downarrow","\\Updownarrow","|","\\|","\\vert","\\Vert"];var v=["<",">","\\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;r<i.length;r++){if(i[r].type==="stack"){break}var l=o(e,M(i[r]));var s=l.height+l.depth;if(i[r].type==="small"){s*=i[r].style.sizeMultiplier}if(s>t){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 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w=1;o.prototype.handleSupSubscript=function(e,t,i,a){var r=this.parseGroup(e,t);if(!r){throw new n("Expected group after '"+i+"'",this.lexer,e)}else if(r.isFunction){var l=h.funcs[r.result.result].greediness;if(l>w){return this.parseFunction(e,t)}else{throw new n("Got function '"+r.result.result+"' with no arguments "+"as "+a,this.lexer,e)}}else{return r.result}};o.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 s=this.lexer.lex(h,t);if(s.text==="^"){if(a){throw new n("Double superscript",this.lexer,h)}l=this.handleSupSubscript(s.position,t,s.text,"superscript");h=l.position;a=l.result}else if(s.text==="_"){if(r){throw new n("Double subscript",this.lexer,h)}l=this.handleSupSubscript(s.position,t,s.text,"subscript");h=l.position;r=l.result}else if(s.text==="'"){var p=new c("textord","\\prime",t);var o=[p];h=s.position;while((s=this.lexer.lex(h,t)).text==="'"){o.push(p);h=s.position}a=new c("ordgroup",o,t)}else{break}}if(a||r){return new g(new c("supsub",{base:i&&i.result,sup:a,sub:r},t),h)}else{return i}};var k=["\\tiny","\\scriptsize","\\footnotesize","\\small","\\normalsize","\\large","\\Large","\\LARGE","\\huge","\\Huge"];var m=["\\displaystyle","\\textstyle","\\scriptstyle","\\scriptscriptstyle"];o.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 r;if(h==="\\left"){var l=this.parseFunction(e,t);r=this.parseExpression(l.position,t,false);this.expect(r.peek,"\\right");var p=this.parseFunction(r.position,t);return new g(new c("leftright",{body:r.result,left:l.result.value.value,right:p.result.value.value},t),p.position)}else if(h==="\\begin"){var o=this.parseFunction(e,t);var d=o.result.value.name;if(!a.hasOwnProperty(d)){throw new n("No such environment: 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s};o.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 d(new g(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)}};o.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 d(new g(new c("ordgroup",h.result,t),a.position),false)}else{return this.parseSymbol(e,t)}};o.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 d(new g(new c("ordgroup",h.result,t),a.position),false)}else{return null}};o.prototype.parseSymbol=function(e,t){var i=this.lexer.lex(e,t);if(h.funcs[i.text]){return new d(new g(i.text,i.position),true)}else if(l[t][i.text]){return new d(new g(new c(l[t][i.text].group,i.text,t),i.position),false)}else{return null}};o.prototype.ParseNode=c;t.exports=o},{"./Lexer":3,"./ParseError":5,"./environments":15,"./functions":17,"./parseData":19,"./symbols":21,"./utils":22}],7:[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},{}],8:[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 n=5;var o=6;var c=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(n,2,.7,true),new h(o,3,.5,false),new h(c,3,.5,true)];var w=[p,n,p,n,o,c,o,c];var k=[n,n,n,n,c,c,c,c];var m=[l,s,p,n,o,c,o,c];var f=[s,s,n,n,c,c,c,c];var v=[r,r,s,s,n,n,c,c];t.exports={DISPLAY:u[a],TEXT:u[l],SCRIPT:u[p],SCRIPTSCRIPT:u[o]}},{}],9:[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 n;if(p){n=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+"'");n=new h.symbolNode(e,0,0,0,0,s)}if(l){n.style.color=l}return n};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 n=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 o=function(e,t,i){var a=new h.span(e,t);n(a);if(i){a.style.color=i}return a};var c=function(e){var t=new h.documentFragment(e);n(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;s<p.length;s++){var n=-p[s].shift-l-p[s].elem.depth;var c=n-(p[s-1].elem.height+p[s-1].elem.depth);l=l+n;e.push({type:"kern",size:c});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=o([],[w,m]);v.height-=f;v.depth+=f;v.style.top=f+"em";k.push(v)}}var y=o(["baseline-fix"],[w,new h.symbolNode("\u200b")]);k.push(y);var x=o(["vlist"],k);x.height=Math.max(l,x.height);x.depth=Math.max(-r,x.depth);return x};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:o,makeFragment:c,makeVList:d,sizingMultiplier:u,spacingFunctions:w}},{"./domTree":14,"./fontMetrics":16,"./symbols":21}],10:[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 n=e("./fontMetrics");var o=e("./utils");var c=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",array:"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||o.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 c(["mord",t.style.cls()],g(e.value,t.reset()))},text:function(e,t,i){return c(["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,o,g;if(e.value.sup){o=v(e.value.sup,t.withStyle(t.style.sup()));a=c([t.style.reset(),t.style.sup().cls()],[o])}if(e.value.sub){g=v(e.value.sub,t.withStyle(t.style.sub()));s=c([t.style.reset(),t.style.sub().cls()],[g])}var d,k;if(m(e.value.base)){d=0;k=0}else{d=h.height-n.metrics.supDrop;k=h.depth+n.metrics.subDrop}var y;if(t.style===r.DISPLAY){y=n.metrics.sup1}else if(t.style.cramped){y=n.metrics.sup3}else{y=n.metrics.sup2}var x=r.TEXT.sizeMultiplier*t.style.sizeMultiplier;var b=.5/n.metrics.ptPerEm/x+"em";var z;if(!e.value.sup){k=Math.max(k,n.metrics.sub1,g.height-.8*n.metrics.xHeight);z=l.makeVList([{type:"elem",elem:s}],"shift",k,t);z.children[0].style.marginRight=b;if(h instanceof p.symbolNode){z.children[0].style.marginLeft=-h.italic+"em"}}else if(!e.value.sub){d=Math.max(d,y,o.depth+.25*n.metrics.xHeight);z=l.makeVList([{type:"elem",elem:a}],"shift",-d,t);z.children[0].style.marginRight=b}else{d=Math.max(d,y,o.depth+.25*n.metrics.xHeight);k=Math.max(k,n.metrics.sub2);var S=n.metrics.defaultRuleThickness;if(d-o.depth-(g.height-k)<4*S){k=4*S-(d-o.depth)+g.height;var M=.8*n.metrics.xHeight-(d-o.depth);if(M>0){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=b;z.children[1].style.marginRight=b}return c([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=c([h.reset(),a.cls()],[o]);var d=v(e.value.denom,t.withStyle(p));var u=c([h.reset(),p.cls()],[d]);var w;if(e.value.hasBarLine){w=n.metrics.defaultRuleThickness/t.style.sizeMultiplier}else{w=0}var k;var m;var f;if(h.size===r.DISPLAY.size){k=n.metrics.num1;if(w>0){m=3*w}else{m=7*n.metrics.defaultRuleThickness}f=n.metrics.denom1}else{if(w>0){k=n.metrics.num2;m=w}else{k=n.metrics.num3;m=3*n.metrics.defaultRuleThickness}f=n.metrics.denom2}var y;if(w===0){var x=k-o.depth-(d.height-f);if(x<m){k+=.5*(m-x);f+=.5*(m-x)}y=l.makeVList([{type:"elem",elem:u,shift:f},{type:"elem",elem:g,shift:-k}],"individualShift",null,t)}else{var b=n.metrics.axisHeight;if(k-o.depth-(b+.5*w)<m){k+=m-(k-o.depth-(b+.5*w))}if(b-.5*w-(d.height-f)<m){f+=m-(b-.5*w-(d.height-f))}var z=c([t.style.reset(),r.TEXT.cls(),"frac-line"]);z.height=w;var S=-(b-.5*w);y=l.makeVList([{type:"elem",elem:u,shift:f},{type:"elem",elem:z,shift:S},{type:"elem",elem:g,shift:-k}],"individualShift",null,t)}y.height*=h.sizeMultiplier/t.style.sizeMultiplier;y.depth*=h.sizeMultiplier/t.style.sizeMultiplier;var M=[c(["mfrac"],[y])];var q;if(h.size===r.DISPLAY.size){q=n.metrics.delim1}else{q=n.metrics.getDelim2(h)}if(e.value.leftDelim!=null){M.unshift(s.customSizedDelim(e.value.leftDelim,q,true,t.withStyle(h),e.mode))}if(e.value.rightDelim!=null){M.push(s.customSizedDelim(e.value.rightDelim,q,true,t.withStyle(h),e.mode))}return c(["minner",t.style.reset(),h.cls()],M,t.getColor())},array:function(e,t,i){var h,a;var r=e.value.body.length;var s=0;var p=new Array(r);var o=1/n.metrics.ptPerEm;var g=5*o;var d=12*o;var u=1;var w=u*d;var k=.7*w;var m=.3*w;var f=0;for(h=0;h<e.value.body.length;++h){var y=e.value.body[h];var x=k;var b=m;if(s<y.length){s=y.length}var z=new Array(y.length);for(a=0;a<y.length;++a){var S=v(y[a],t);if(b<S.depth){b=S.depth}if(x<S.height){x=S.height}z[a]=S}var M=0;if(e.value.rowGaps[h]){M=e.value.rowGaps[h].value;switch(M.unit){case"em":M=M.number;break;case"ex":M=M.number*n.metrics.emPerEx;break;default:console.error("Can't handle unit "+M.unit);M=0}if(M>0){M+=m;if(b<M){b=M}M=0}}z.height=x;z.depth=b;f+=x;z.pos=f;f+=b+M;p[h]=z}var q=f/2+n.metrics.axisHeight;var A=e.value.colalign||[];var T=[];var N;for(a=0;a<s;++a){if(a>0||e.value.hskipBeforeAndAfter){N=c(["arraycolsep"],[]);N.style.width=g+"em";T.push(N)}var C=[];for(h=0;h<r;++h){var E=p[h];var R=E[a];if(!R){continue}var P=E.pos-q;R.depth=E.depth;R.height=E.height;C.push({type:"elem",elem:R,shift:P})}C=l.makeVList(C,"individualShift",null,t);C=c(["col-align-"+(A[a]||"c")],[C]);T.push(C);if(a<s-1||e.value.hskipBeforeAndAfter){N=c(["arraycolsep"],[]);N.style.width=g+"em";T.push(N)}}p=c(["mtable"],T);return c(["minner"],[p],t.getColor())},spacing:function(e,t,i){if(e.value==="\\ "||e.value==="\\space"||e.value===" "||e.value==="~"){return c(["mord","mspace"],[l.mathrm(e.value,e.mode)])}else{return c(["mord","mspace",l.spacingFunctions[e.value].className])}},llap:function(e,t,i){var h=c(["inner"],[v(e.value.body,t.reset())]);var a=c(["fix"],[]);return c(["llap",t.style.cls()],[h,a])},rlap:function(e,t,i){var h=c(["inner"],[v(e.value.body,t.reset())]);var a=c(["fix"],[]);return c(["rlap",t.style.cls()],[h,a])},op:function(e,t,i){var h;var a;var s=false;if(e.type==="supsub"){h=e.value.sup;a=e.value.sub;e=e.value.base;s=true}var p=["\\smallint"];var g=false;if(t.style.size===r.DISPLAY.size&&e.value.symbol&&!o.contains(p,e.value.body)){g=true}var d;var u=0;var w=0;if(e.value.symbol){var k=g?"Size2-Regular":"Size1-Regular";d=l.makeSymbol(e.value.body,k,"math",t.getColor(),["op-symbol",g?"large-op":"small-op","mop"]);u=(d.height-d.depth)/2-n.metrics.axisHeight*t.style.sizeMultiplier;w=d.italic}else{var m=[];for(var f=1;f<e.value.body.length;f++){m.push(l.mathrm(e.value.body[f],e.mode))}d=c(["mop"],m,t.getColor())}if(s){d=c([],[d]);var y,x,b,z;if(h){var S=v(h,t.withStyle(t.style.sup()));y=c([t.style.reset(),t.style.sup().cls()],[S]);x=Math.max(n.metrics.bigOpSpacing1,n.metrics.bigOpSpacing3-S.depth)}if(a){var M=v(a,t.withStyle(t.style.sub()));b=c([t.style.reset(),t.style.sub().cls()],[M]);z=Math.max(n.metrics.bigOpSpacing2,n.metrics.bigOpSpacing4-M.height)}var q,A,T;if(!h){A=d.height-u;q=l.makeVList([{type:"kern",size:n.metrics.bigOpSpacing5},{type:"elem",elem:b},{type:"kern",size:z},{type:"elem",elem:d}],"top",A,t);q.children[0].style.marginLeft=-w+"em"}else if(!a){T=d.depth+u;q=l.makeVList([{type:"elem",elem:d},{type:"kern",size:x},{type:"elem",elem:y},{type:"kern",size:n.metrics.bigOpSpacing5}],"bottom",T,t);q.children[1].style.marginLeft=w+"em"}else if(!h&&!a){return d}else{T=n.metrics.bigOpSpacing5+b.height+b.depth+z+d.depth+u;q=l.makeVList([{type:"kern",size:n.metrics.bigOpSpacing5},{type:"elem",elem:b},{type:"kern",size:z},{type:"elem",elem:d},{type:"kern",size:x},{type:"elem",elem:y},{type:"kern",size:n.metrics.bigOpSpacing5}],"bottom",T,t);q.children[0].style.marginLeft=-w+"em";q.children[2].style.marginLeft=w+"em"}return c(["mop","op-limits"],[q])}else{if(e.value.symbol){d.style.top=u+"em"}return d}},katex:function(e,t,i){var h=c(["k"],[l.mathrm("K",e.mode)]);var a=c(["a"],[l.mathrm("A",e.mode)]);a.height=(a.height+.2)*.75;a.depth=(a.height-.2)*.75;var r=c(["t"],[l.mathrm("T",e.mode)]);var s=c(["e"],[l.mathrm("E",e.mode)]);s.height=s.height-.2155;s.depth=s.depth+.2155;var p=c(["x"],[l.mathrm("X",e.mode)]);return c(["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=n.metrics.defaultRuleThickness/t.style.sizeMultiplier;var s=c([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 c(["overline","mord"],[p],t.getColor())},sqrt:function(e,t,i){var h=v(e.value.body,t.withStyle(t.style.cramp()));var a=n.metrics.defaultRuleThickness/t.style.sizeMultiplier;var p=c([t.style.reset(),r.TEXT.cls(),"sqrt-line"],[],t.getColor());p.height=a;p.maxFontSize=1;var o=a;if(t.style.id<r.TEXT.id){o=n.metrics.xHeight}var g=a+o/4;var d=(h.height+h.depth)*t.style.sizeMultiplier;var u=d+g+a;var w=c(["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=c()}else{f=l.makeVList([{type:"elem",elem:h},{type:"kern",size:g},{type:"elem",elem:p},{type:"kern",size:a}],"firstBaseline",null,t)}if(!e.value.index){return c(["sqrt","mord"],[w,f])}else{var y=v(e.value.index,t.withStyle(r.SCRIPTSCRIPT));var x=c([t.style.reset(),r.SCRIPTSCRIPT.cls()],[y]);var b=Math.max(w.height,f.height);var z=Math.max(w.depth,f.depth);var S=.6*(b-z);var M=l.makeVList([{type:"elem",elem:x}],"shift",-S,t);var q=c(["root"],[M]);return c(["sqrt","mord"],[q,w,f])}},sizing:function(e,t,i){var h=g(e.value.value,t.withSize(e.value.size),i);var a=c(["mord"],[c(["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 c([t.style.reset(),a.cls()],l)},delimsizing:function(e,t,i){var h=e.value.value;if(h==="."){return c([d[e.value.delimType]])}return c([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=c(["nulldelimiter"])}else{p=s.leftRightDelim(e.value.left,a,r,t,e.mode)}h.unshift(p);var n;if(e.value.right==="."){n=c(["nulldelimiter"])}else{n=s.leftRightDelim(e.value.right,a,r,t,e.mode)}h.push(n);return c(["minner",t.style.cls()],h,t.getColor())},rule:function(e,t,i){var h=c(["mord","rule"],[],t.getColor());var a=0;if(e.value.shift){a=e.value.shift.number;if(e.value.shift.unit==="ex"){a*=n.metrics.xHeight}}var r=e.value.width.number;if(e.value.width.unit==="ex"){r*=n.metrics.xHeight}var l=e.value.height.number;if(e.value.height.unit==="ex"){l*=n.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 o=k(h);var g=v(o,t.withStyle(t.style.cramp()));p=g.skew}else{p=0}var d=Math.min(s.height,n.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=c(["accent-body",w],[c([],[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=c(["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 c()}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){e=JSON.parse(JSON.stringify(e));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=c(["base",a.style.cls()],l);var p=c(["strut"]);var n=c(["strut","bottom"]);p.style.height=s.height+"em";n.style.height=s.height+s.depth+"em";n.style.verticalAlign=-s.depth+"em";var o=c(["katex-html"],[p,n,s]);o.setAttribute("aria-hidden","true");
+return o};t.exports=y},{"./Options":4,"./ParseError":5,"./Style":8,"./buildCommon":9,"./delimiter":13,"./domTree":14,"./fontMetrics":16,"./utils":22}],11:[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 n={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=o(e.value);var i=new a.MathNode("mrow",t);return i},text:function(e){var t=o(e.value.body);var i=new a.MathNode("mtext",t);return i},color:function(e){var t=o(e.value.value);var i=new a.MathNode("mstyle",t);i.setAttribute("mathcolor",e.value.color);return i},supsub:function(e){var t=[c(e.value.base)];if(e.value.sub){t.push(c(e.value.sub))}if(e.value.sup){t.push(c(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",[c(e.value.numer),c(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},array:function(e){return new a.MathNode("mtable",e.value.body.map(function(e){return new a.MathNode("mtr",e.map(function(e){return new a.MathNode("mtd",[c(e)])}))}))},sqrt:function(e){var t;if(e.value.index){t=new a.MathNode("mroot",[c(e.value.body),c(e.value.index)])}else{t=new a.MathNode("msqrt",[c(e.value.body)])}return t},leftright:function(e){var t=o(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",[c(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=o(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=o(e.value.value);var i=new a.MathNode("mstyle",t);i.setAttribute("mathsize",h.sizingMultiplier[e.value.size]+"em");return i},overline:function(e){var t=new a.MathNode("mo",[new a.TextNode("\u203e")]);t.setAttribute("stretchy","true");var i=new a.MathNode("mover",[c(e.value.body),t]);i.setAttribute("accent","true");return i},rule:function(e){var t=new a.MathNode("mrow");return t},llap:function(e){var t=new a.MathNode("mpadded",[c(e.value.body)]);t.setAttribute("lspace","-1width");t.setAttribute("width","0px");return t},rlap:function(e){var t=new a.MathNode("mpadded",[c(e.value.body)]);t.setAttribute("width","0px");return t},phantom:function(e,t,i){var h=o(e.value.value);return new a.MathNode("mphantom",h)}};var o=function(e){var t=[];for(var i=0;i<e.length;i++){var h=e[i];t.push(c(h))}return t};var c=function(e){if(!e){return new a.MathNode("mrow")}if(n[e.type]){return n[e.type](e)}else{throw new r("Got group of unknown type: '"+e.type+"'")}};var g=function(e,t,i){var h=o(e);var r=new a.MathNode("mrow",h);var l=new a.MathNode("annotation",[new a.TextNode(t)]);l.setAttribute("encoding","application/x-tex");var p=new a.MathNode("semantics",[r,l]);var n=new a.MathNode("math",[p]);return s(["katex-mathml"],[n])};t.exports=g},{"./ParseError":5,"./buildCommon":9,"./mathMLTree":18,"./symbols":21}],12:[function(e,t,i){var h=e("./buildHTML");var a=e("./buildMathML");var r=e("./buildCommon");var l=r.makeSpan;var s=function(e,t,i){var r=a(e,t,i);var s=h(e,i);var p=l(["katex"],[r,s]);if(i.displayMode){return l(["katex-display"],[p])}else{return p}};t.exports=s},{"./buildCommon":9,"./buildHTML":10,"./buildMathML":11}],13:[function(e,t,i){var h=e("./ParseError");var a=e("./Style");var r=e("./buildCommon");var l=e("./fontMetrics");var s=e("./symbols");var p=e("./utils");var n=r.makeSpan;var o=function(e,t){if(s.math[e]&&s.math[e].replace){return l.getCharacterMetrics(s.math[e].replace,t)}else{return l.getCharacterMetrics(e,t)}};var c=function(e,t,i){return r.makeSymbol(e,"Size"+t+"-Regular",i)};var g=function(e,t,i){var h=n(["style-wrap",i.style.reset(),t.cls()],[e]);var a=t.sizeMultiplier/i.style.sizeMultiplier;h.height*=a;h.depth*=a;h.maxFontSize=t.sizeMultiplier;return h};var d=function(e,t,i,h,a){var s=r.makeSymbol(e,"Main-Regular",a);var p=g(s,t,h);if(i){var n=(1-h.style.sizeMultiplier/t.sizeMultiplier)*l.metrics.axisHeight;p.style.top=n+"em";p.height-=n;p.depth+=n}return p};var u=function(e,t,i,h,r){var s=c(e,t,r);var p=g(n(["delimsizing","size"+t],[s],h.getColor()),a.TEXT,h);if(i){var o=(1-h.style.sizeMultiplier)*l.metrics.axisHeight;p.style.top=o+"em";p.height-=o;p.depth+=o}return p};var w=function(e,t,i){var h;if(t==="Size1-Regular"){h="delim-size1"}else if(t==="Size4-Regular"){h="delim-size4"}var a=n(["delimsizinginner",h],[n([],[r.makeSymbol(e,t,i)])]);return{type:"elem",elem:a}};var k=function(e,t,i,h,s){var p,c,d,u;p=d=u=e;c=null;var k="Size1-Regular";if(e==="\\uparrow"){d=u="\u23d0"}else if(e==="\\Uparrow"){d=u="\u2016"}else if(e==="\\downarrow"){p=d="\u23d0"}else if(e==="\\Downarrow"){p=d="\u2016"}else if(e==="\\updownarrow"){p="\\uparrow";d="\u23d0";u="\\downarrow"}else if(e==="\\Updownarrow"){p="\\Uparrow";d="\u2016";u="\\Downarrow"}else if(e==="["||e==="\\lbrack"){p="\u23a1";d="\u23a2";u="\u23a3";k="Size4-Regular"}else if(e==="]"||e==="\\rbrack"){p="\u23a4";d="\u23a5";u="\u23a6";k="Size4-Regular"}else if(e==="\\lfloor"){d=p="\u23a2";u="\u23a3";k="Size4-Regular"}else if(e==="\\lceil"){p="\u23a1";d=u="\u23a2";k="Size4-Regular"}else if(e==="\\rfloor"){d=p="\u23a5";u="\u23a6";k="Size4-Regular"}else if(e==="\\rceil"){p="\u23a4";d=u="\u23a5";k="Size4-Regular"}else if(e==="("){p="\u239b";d="\u239c";u="\u239d";k="Size4-Regular"}else if(e===")"){p="\u239e";d="\u239f";u="\u23a0";k="Size4-Regular"}else if(e==="\\{"||e==="\\lbrace"){p="\u23a7";c="\u23a8";u="\u23a9";d="\u23aa";k="Size4-Regular"}else if(e==="\\}"||e==="\\rbrace"){p="\u23ab";c="\u23ac";u="\u23ad";d="\u23aa";k="Size4-Regular"}else if(e==="\\surd"){p="\ue001";u="\u23b7";d="\ue000";k="Size4-Regular"}var m=o(p,k);var f=m.height+m.depth;var v=o(d,k);var y=v.height+v.depth;var x=o(u,k);var b=x.height+x.depth;var z=0;var S=1;if(c!==null){var M=o(c,k);z=M.height+M.depth;S=2}var q=f+b+z;var A=Math.ceil((t-q)/(S*y));var T=q+A*S*y;var N=l.metrics.axisHeight;if(i){N*=h.style.sizeMultiplier}var C=T/2-N;var E=[];E.push(w(u,k,s));var R;if(c===null){for(R=0;R<A;R++){E.push(w(d,k,s))}}else{for(R=0;R<A;R++){E.push(w(d,k,s))}E.push(w(c,k,s));for(R=0;R<A;R++){E.push(w(d,k,s))}}E.push(w(p,k,s));var P=r.makeVList(E,"bottom",C,h);return g(n(["delimsizing","mult"],[P],h.getColor()),a.TEXT,h)};var m=["(",")","[","\\lbrack","]","\\rbrack","\\{","\\lbrace","\\}","\\rbrace","\\lfloor","\\rfloor","\\lceil","\\rceil","\\surd"];var f=["\\uparrow","\\downarrow","\\updownarrow","\\Uparrow","\\Downarrow","\\Updownarrow","|","\\|","\\vert","\\Vert"];var v=["<",">","\\langle","\\rangle","/","\\backslash"];var y=[0,1.2,1.8,2.4,3];var x=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 b=[{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;r<i.length;r++){if(i[r].type==="stack"){break}var l=o(e,M(i[r]));var s=l.height+l.depth;if(i[r].type==="small"){s*=i[r].style.sizeMultiplier}if(s>t){return i[r]}}return i[i.length-1]};var A=function(e,t,i,h,a){if(e==="<"){e="\\langle"}else if(e===">"){e="\\rangle"}var r;if(p.contains(v,e)){r=b}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 T=function(e,t,i,h,a){var r=l.metrics.axisHeight*h.style.sizeMultiplier;var s=901;var p=5/l.metrics.ptPerEm;var n=Math.max(t-r,i+r);var o=Math.max(n/500*s,2*n-p);return A(e,o,true,h,a)};t.exports={sizedDelim:x,customSizedDelim:A,leftRightDelim:T}},{"./ParseError":5,"./Style":8,"./buildCommon":9,"./fontMetrics":16,"./symbols":21,"./utils":22}],14:[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 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diff --git a/plugins/tiddlywiki/katex/readme.tid b/plugins/tiddlywiki/katex/readme.tid
index 1861d6b74..23091ba78 100644
--- a/plugins/tiddlywiki/katex/readme.tid
+++ b/plugins/tiddlywiki/katex/readme.tid
@@ -4,4 +4,6 @@ This is a TiddlyWiki plugin for mathematical typesetting based on [[KaTeX from K
 
 It is completely self-contained, and doesn't need an Internet connection in order to work. It works both in the browser and under Node.js.
 
+It is currently based on KaTeX version 0.4.3. See https://github.com/Khan/KaTeX/releases for details of releases.
+
 [[Source code|https://github.com/Jermolene/TiddlyWiki5/blob/master/plugins/tiddlywiki/katex]]