!(function (e, r) { if ("object" == typeof exports && "object" == typeof module) module.exports = r(require("katex")); else if ("function" == typeof define && define.amd) define(["katex"], r); else { var t = "object" == typeof exports ? r(require("katex")) : r(e.katex); for (var a in t) ("object" == typeof exports ? exports : e)[a] = t[a]; } })("undefined" != typeof self ? self : this, function (e) { return (function (e) { var r = {}; function t(a) { if (r[a]) return r[a].exports; var o = (r[a] = { i: a, l: !1, exports: {} }); return e[a].call(o.exports, o, o.exports, t), (o.l = !0), o.exports; } return ( (t.m = e), (t.c = r), (t.d = function (e, r, a) { t.o(e, r) || Object.defineProperty(e, r, { enumerable: !0, get: a }); }), (t.r = function (e) { "undefined" != typeof Symbol && Symbol.toStringTag && Object.defineProperty(e, Symbol.toStringTag, { value: "Module" }), Object.defineProperty(e, "__esModule", { value: !0 }); }), (t.t = function (e, r) { if ((1 & r && (e = t(e)), 8 & r)) return e; if (4 & r && "object" == typeof e && e && e.__esModule) return e; var a = Object.create(null); if ( (t.r(a), Object.defineProperty(a, "default", { enumerable: !0, value: e }), 2 & r && "string" != typeof e) ) for (var o in e) t.d( a, o, function (r) { return e[r]; }.bind(null, o), ); return a; }), (t.n = function (e) { var r = e && e.__esModule ? function () { return e.default; } : function () { return e; }; return t.d(r, "a", r), r; }), (t.o = function (e, r) { return Object.prototype.hasOwnProperty.call(e, r); }), (t.p = ""), t((t.s = 1)) ); })([ function (r, t) { r.exports = e; }, function (e, r, t) { "use strict"; t.r(r); var a = t(0), o = t.n(a), n = { "(": "left parenthesis", ")": "right parenthesis", "[": "open bracket", "]": "close bracket", "\\{": "left brace", "\\}": "right brace", "\\lvert": "open vertical bar", "\\rvert": "close vertical bar", "|": "vertical bar", "\\uparrow": "up arrow", "\\Uparrow": "up arrow", "\\downarrow": "down arrow", "\\Downarrow": "down arrow", "\\updownarrow": "up down arrow", "\\leftarrow": "left arrow", "\\Leftarrow": "left arrow", "\\rightarrow": "right arrow", "\\Rightarrow": "right arrow", "\\langle": "open angle", "\\rangle": "close angle", "\\lfloor": "open floor", "\\rfloor": "close floor", "\\int": "integral", "\\intop": "integral", "\\lim": "limit", "\\ln": "natural log", "\\log": "log", "\\sin": "sine", "\\cos": "cosine", "\\tan": "tangent", "\\cot": "cotangent", "\\sum": "sum", "/": "slash", ",": "comma", ".": "point", "-": "negative", "+": "plus", "~": "tilde", ":": "colon", "?": "question mark", "'": "apostrophe", "\\%": "percent", " ": "space", "\\ ": "space", "\\$": "dollar sign", "\\angle": "angle", "\\degree": "degree", "\\circ": "circle", "\\vec": "vector", "\\triangle": "triangle", "\\pi": "pi", "\\prime": "prime", "\\infty": "infinity", "\\alpha": "alpha", "\\beta": "beta", "\\gamma": "gamma", "\\omega": "omega", "\\theta": "theta", "\\sigma": "sigma", "\\lambda": "lambda", "\\tau": "tau", "\\Delta": "delta", "\\delta": "delta", "\\mu": "mu", "\\rho": "rho", "\\nabla": "del", "\\ell": "ell", "\\ldots": "dots", "\\hat": "hat", "\\acute": "acute", }, s = { prime: "prime", degree: "degrees", circle: "degrees", 2: "squared", 3: "cubed", }, i = { "|": "open vertical bar", ".": "" }, l = { "|": "close vertical bar", ".": "" }, c = { "+": "plus", "-": "minus", "\\pm": "plus minus", "\\cdot": "dot", "*": "times", "/": "divided by", "\\times": "times", "\\div": "divided by", "\\circ": "circle", "\\bullet": "bullet", }, u = { "=": "equals", "\\approx": "approximately equals", "\u2260": "does not equal", "\\geq": "is greater than or equal to", "\\ge": "is greater than or equal to", "\\leq": "is less than or equal to", "\\le": "is less than or equal to", ">": "is greater than", "<": "is less than", "\\leftarrow": "left arrow", "\\Leftarrow": "left arrow", "\\rightarrow": "right arrow", "\\Rightarrow": "right arrow", ":": "colon", }, p = { "\\underleftarrow": "left arrow", "\\underrightarrow": "right arrow", "\\underleftrightarrow": "left-right arrow", "\\undergroup": "group", "\\underlinesegment": "line segment", "\\utilde": "tilde", }, d = function (e, r, t) { var a; e && (/^\d+$/.test( (a = "open" === r ? e in i ? i[e] : n[e] || e : "close" === r ? e in l ? l[e] : n[e] || e : "bin" === r ? c[e] || e : "rel" === r ? u[e] || e : n[e] || e), ) && t.length > 0 && /^\d+$/.test(t[t.length - 1]) ? (t[t.length - 1] += a) : a && t.push(a)); }, b = function (e, r) { var t = []; e.push(t), r(t); }, h = function (e, r, t) { switch (e.type) { case "accent": b(r, function (r) { f(e.base, r, t), r.push("with"), d(e.label, "normal", r), r.push("on top"); }); break; case "accentUnder": b(r, function (r) { f(e.base, r, t), r.push("with"), d(p[e.label], "normal", r), r.push("underneath"); }); break; case "accent-token": break; case "atom": var a = e.text; switch (e.family) { case "bin": d(a, "bin", r); break; case "close": d(a, "close", r); break; case "inner": d(e.text, "inner", r); break; case "open": d(a, "open", r); break; case "punct": d(a, "punct", r); break; case "rel": d(a, "rel", r); break; default: throw ( (e.family, new Error('"' + e.family + '" is not a valid atom type')) ); } break; case "color": var o = e.color.replace(/katex-/, ""); b(r, function (r) { r.push("start color " + o), f(e.body, r, t), r.push("end color " + o); }); break; case "color-token": break; case "delimsizing": e.delim && "." !== e.delim && d(e.delim, "normal", r); break; case "genfrac": b(r, function (r) { var a = e.leftDelim, o = e.rightDelim; e.hasBarLine ? (r.push("start fraction"), a && d(a, "open", r), f(e.numer, r, t), r.push("divided by"), f(e.denom, r, t), o && d(o, "close", r), r.push("end fraction")) : (r.push("start binomial"), a && d(a, "open", r), f(e.numer, r, t), r.push("over"), f(e.denom, r, t), o && d(o, "close", r), r.push("end binomial")); }); break; case "kern": break; case "leftright": b(r, function (r) { d(e.left, "open", r), f(e.body, r, t), d(e.right, "close", r); }); break; case "leftright-right": break; case "lap": f(e.body, r, t); break; case "mathord": d(e.text, "normal", r); break; case "op": var n = e.body, i = e.name; n ? f(n, r, t) : i && d(i, "normal", r); break; case "op-token": d(e.text, t, r); break; case "ordgroup": f(e.body, r, t); break; case "overline": b(r, function (r) { r.push("start overline"), f(e.body, r, t), r.push("end overline"); }); break; case "phantom": r.push("empty space"); break; case "raisebox": f(e.body, r, t); break; case "rule": r.push("rectangle"); break; case "sizing": f(e.body, r, t); break; case "spacing": r.push("space"); break; case "styling": f(e.body, r, t); break; case "sqrt": b(r, function (r) { var a = e.body, o = e.index; if (o) return "3" === m(f(o, [], t)).join(",") ? (r.push("cube root of"), f(a, r, t), void r.push("end cube root")) : (r.push("root"), r.push("start index"), f(o, r, t), void r.push("end index")); r.push("square root of"), f(a, r, t), r.push("end square root"); }); break; case "supsub": var l = e.base, c = e.sub, u = e.sup, h = !1; if ( (l && (f(l, r, t), (h = "op" === l.type && "\\log" === l.name)), c) ) { var y = h ? "base" : "subscript"; b(r, function (e) { e.push("start " + y), f(c, e, t), e.push("end " + y); }); } u && b(r, function (e) { var r = m(f(u, [], t)).join(","); r in s ? e.push(s[r]) : (e.push("start superscript"), f(u, e, t), e.push("end superscript")); }); break; case "text": if ("\\textbf" === e.font) { b(r, function (r) { r.push("start bold text"), f(e.body, r, t), r.push("end bold text"); }); break; } b(r, function (r) { r.push("start text"), f(e.body, r, t), r.push("end text"); }); break; case "textord": d(e.text, t, r); break; case "smash": f(e.body, r, t); break; case "enclose": if (/cancel/.test(e.label)) { b(r, function (r) { r.push("start cancel"), f(e.body, r, t), r.push("end cancel"); }); break; } if (/box/.test(e.label)) { b(r, function (r) { r.push("start box"), f(e.body, r, t), r.push("end box"); }); break; } if (/sout/.test(e.label)) { b(r, function (r) { r.push("start strikeout"), f(e.body, r, t), r.push("end strikeout"); }); break; } throw new Error( "KaTeX-a11y: enclose node with " + e.label + " not supported yet", ); case "vphantom": throw new Error("KaTeX-a11y: vphantom not implemented yet"); case "hphantom": throw new Error("KaTeX-a11y: hphantom not implemented yet"); case "operatorname": f(e.body, r, t); break; case "array": throw new Error("KaTeX-a11y: array not implemented yet"); case "raw": throw new Error("KaTeX-a11y: raw not implemented yet"); case "size": break; case "url": throw new Error("KaTeX-a11y: url not implemented yet"); case "tag": throw new Error("KaTeX-a11y: tag not implemented yet"); case "verb": d("start verbatim", "normal", r), d(e.body, "normal", r), d("end verbatim", "normal", r); break; case "environment": throw new Error("KaTeX-a11y: environment not implemented yet"); case "horizBrace": d("start " + e.label.slice(1), "normal", r), f(e.base, r, t), d("end " + e.label.slice(1), "normal", r); break; case "infix": break; case "includegraphics": throw new Error( "KaTeX-a11y: includegraphics not implemented yet", ); case "font": f(e.body, r, t); break; case "href": throw new Error("KaTeX-a11y: href not implemented yet"); case "cr": throw new Error("KaTeX-a11y: cr not implemented yet"); case "underline": b(r, function (r) { r.push("start underline"), f(e.body, r, t), r.push("end underline"); }); break; case "xArrow": throw new Error("KaTeX-a11y: xArrow not implemented yet"); case "mclass": var g = e.mclass.slice(1); f(e.body, r, g); break; case "mathchoice": f(e.text, r, t); break; case "htmlmathml": f(e.mathml, r, t); break; case "middle": d(e.delim, t, r); break; default: throw ( (e.type, new Error("KaTeX a11y un-recognized type: " + e.type)) ); } }, f = function e(r, t, a) { if ((void 0 === t && (t = []), r instanceof Array)) for (var o = 0; o < r.length; o++) e(r[o], t, a); else h(r, t, a); return t; }, m = function e(r) { var t = []; return ( r.forEach(function (r) { r instanceof Array ? (t = t.concat(e(r))) : t.push(r); }), t ); }; r.default = function (e, r) { var t = o.a.__parse(e, r), a = f(t, [], "normal"); return m(a).join(", "); }; }, ]).default; });