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+(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 define,ses,bootstrap,module,exports;
+return (function e(t,n,r){function s(o,u){if(!n[o]){if(!t[o]){var a=typeof require=="function"&&require;if(!u&&a)return a(o,!0);if(i)return i(o,!0);throw new Error("Cannot find module '"+o+"'")}var f=n[o]={exports:{}};t[o][0].call(f.exports,function(e){var n=t[o][1][e];return s(n?n:e)},f,f.exports,e,t,n,r)}return n[o].exports}var i=typeof require=="function"&&require;for(var o=0;o<r.length;o++)s(r[o]);return s})({1:[function(require,module,exports){
+/**
+ * This is the main entry point for KaTeX. Here, we expose functions for
+ * rendering expressions either to DOM nodes or to markup strings.
+ *
+ * We also expose the ParseError class to check if errors thrown from KaTeX are
+ * errors in the expression, or errors in javascript handling.
+ */
+
+var ParseError = require("./src/ParseError");
+var Settings = require("./src/Settings");
+
+var buildTree = require("./src/buildTree");
+var parseTree = require("./src/parseTree");
+var utils = require("./src/utils");
+
+/**
+ * Parse and build an expression, and place that expression in the DOM node
+ * given.
+ */
+var render = function(expression, baseNode, options) {
+    utils.clearNode(baseNode);
+
+    var settings = new Settings(options);
+
+    var tree = parseTree(expression, settings);
+    var node = buildTree(tree, expression, settings).toNode();
+
+    baseNode.appendChild(node);
+};
+
+// KaTeX's styles don't work properly in quirks mode. Print out an error, and
+// disable rendering.
+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.");
+
+        render = function() {
+            throw new ParseError("KaTeX doesn't work in quirks mode.");
+        };
+    }
+}
+
+/**
+ * Parse and build an expression, and return the markup for that.
+ */
+var renderToString = function(expression, options) {
+    var settings = new Settings(options);
+
+    var tree = parseTree(expression, settings);
+    return buildTree(tree, expression, settings).toMarkup();
+};
+
+/**
+ * Parse an expression and return the parse tree.
+ */
+var generateParseTree = function(expression, options) {
+    var settings = new Settings(options);
+    return parseTree(expression, settings);
+};
+
+module.exports = {
+    render: render,
+    renderToString: renderToString,
+    /**
+     * NOTE: This method is not currently recommended for public use.
+     * The internal tree representation is unstable and is very likely
+     * to change. Use at your own risk.
+     */
+    __parse: generateParseTree,
+    ParseError: ParseError
+};
+
+},{"./src/ParseError":5,"./src/Settings":7,"./src/buildTree":12,"./src/parseTree":20,"./src/utils":22}],2:[function(require,module,exports){
+/** @flow */
+
+"use strict";
+
+function getRelocatable(re) {
+  // In the future, this could use a WeakMap instead of an expando.
+  if (!re.__matchAtRelocatable) {
+    // Disjunctions are the lowest-precedence operator, so we can make any
+    // pattern match the empty string by appending `|()` to it:
+    // https://people.mozilla.org/~jorendorff/es6-draft.html#sec-patterns
+    var source = re.source + "|()";
+
+    // We always make the new regex global.
+    var flags = "g" + (re.ignoreCase ? "i" : "") + (re.multiline ? "m" : "") + (re.unicode ? "u" : "")
+    // sticky (/.../y) doesn't make sense in conjunction with our relocation
+    // logic, so we ignore it here.
+    ;
+
+    re.__matchAtRelocatable = new RegExp(source, flags);
+  }
+  return re.__matchAtRelocatable;
+}
+
+function matchAt(re, str, pos) {
+  if (re.global || re.sticky) {
+    throw new Error("matchAt(...): Only non-global regexes are supported");
+  }
+  var reloc = getRelocatable(re);
+  reloc.lastIndex = pos;
+  var match = reloc.exec(str);
+  // Last capturing group is our sentinel that indicates whether the regex
+  // matched at the given location.
+  if (match[match.length - 1] == null) {
+    // Original regex matched.
+    match.length = match.length - 1;
+    return match;
+  } else {
+    return null;
+  }
+}
+
+module.exports = matchAt;
+},{}],3:[function(require,module,exports){
+/**
+ * The Lexer class handles tokenizing the input in various ways. Since our
+ * parser expects us to be able to backtrack, the lexer allows lexing from any
+ * given starting point.
+ *
+ * Its main exposed function is the `lex` function, which takes a position to
+ * lex from and a type of token to lex. It defers to the appropriate `_innerLex`
+ * function.
+ *
+ * The various `_innerLex` functions perform the actual lexing of different
+ * kinds.
+ */
+
+var matchAt = require("match-at");
+
+var ParseError = require("./ParseError");
+
+// The main lexer class
+function Lexer(input) {
+    this._input = input;
+}
+
+// The resulting token returned from `lex`.
+function Token(text, data, position) {
+    this.text = text;
+    this.data = data;
+    this.position = position;
+}
+
+// "normal" types of tokens. These are tokens which can be matched by a simple
+// regex
+var mathNormals = [
+    /[/|@.""`0-9a-zA-Z]/, // ords
+    /[*+-]/, // bins
+    /[=<>:]/, // rels
+    /[,;]/, // punctuation
+    /['\^_{}]/, // misc
+    /[(\[]/, // opens
+    /[)\]?!]/, // closes
+    /~/, // spacing
+    /&/, // horizontal alignment
+    /\\\\/ // line break
+];
+
+// These are "normal" tokens like above, but should instead be parsed in text
+// mode.
+var textNormals = [
+    /[a-zA-Z0-9`!@*()-=+\[\]'";:?\/.,]/, // ords
+    /[{}]/, // grouping
+    /~/, // spacing
+    /&/, // horizontal alignment
+    /\\\\/ // line break
+];
+
+// Regexes for matching whitespace
+var whitespaceRegex = /\s*/;
+var whitespaceConcatRegex = / +|\\  +/;
+
+// This regex matches any other TeX function, which is a backslash followed by a
+// word or a single symbol
+var anyFunc = /\\(?:[a-zA-Z]+|.)/;
+
+/**
+ * This function lexes a single normal token. It takes a position, a list of
+ * "normal" tokens to try, and whether it should completely ignore whitespace or
+ * not.
+ */
+Lexer.prototype._innerLex = function(pos, normals, ignoreWhitespace) {
+    var input = this._input;
+    var whitespace;
+
+    if (ignoreWhitespace) {
+        // Get rid of whitespace.
+        whitespace = matchAt(whitespaceRegex, input, pos)[0];
+        pos += whitespace.length;
+    } else {
+        // Do the funky concatenation of whitespace that happens in text mode.
+        whitespace = matchAt(whitespaceConcatRegex, input, pos);
+        if (whitespace !== null) {
+            return new Token(" ", null, pos + whitespace[0].length);
+        }
+    }
+
+    // If there's no more input to parse, return an EOF token
+    if (pos === input.length) {
+        return new Token("EOF", null, pos);
+    }
+
+    var match;
+    if ((match = matchAt(anyFunc, input, pos))) {
+        // If we match a function token, return it
+        return new Token(match[0], null, pos + match[0].length);
+    } else {
+        // Otherwise, we look through the normal token regexes and see if it's
+        // one of them.
+        for (var i = 0; i < normals.length; i++) {
+            var normal = normals[i];
+
+            if ((match = matchAt(normal, input, pos))) {
+                // If it is, return it
+                return new Token(
+                    match[0], null, pos + match[0].length);
+            }
+        }
+    }
+
+    throw new ParseError(
+            "Unexpected character: '" + input[pos] + "'",
+            this, pos);
+};
+
+// A regex to match a CSS color (like #ffffff or BlueViolet)
+var cssColor = /#[a-z0-9]+|[a-z]+/i;
+
+/**
+ * This function lexes a CSS color.
+ */
+Lexer.prototype._innerLexColor = function(pos) {
+    var input = this._input;
+
+    // Ignore whitespace
+    var whitespace = matchAt(whitespaceRegex, input, pos)[0];
+    pos += whitespace.length;
+
+    var match;
+    if ((match = matchAt(cssColor, input, pos))) {
+        // If we look like a color, return a color
+        return new Token(match[0], null, pos + match[0].length);
+    } else {
+        throw new ParseError("Invalid color", this, pos);
+    }
+};
+
+// A regex to match a dimension. Dimensions look like
+// "1.2em" or ".4pt" or "1 ex"
+var sizeRegex = /(-?)\s*(\d+(?:\.\d*)?|\.\d+)\s*([a-z]{2})/;
+
+/**
+ * This function lexes a dimension.
+ */
+Lexer.prototype._innerLexSize = function(pos) {
+    var input = this._input;
+
+    // Ignore whitespace
+    var whitespace = matchAt(whitespaceRegex, input, pos)[0];
+    pos += whitespace.length;
+
+    var match;
+    if ((match = matchAt(sizeRegex, input, pos))) {
+        var unit = match[3];
+        // We only currently handle "em" and "ex" units
+        if (unit !== "em" && unit !== "ex") {
+            throw new ParseError("Invalid unit: '" + unit + "'", this, pos);
+        }
+        return new Token(match[0], {
+                number: +(match[1] + match[2]),
+                unit: unit
+            }, pos + match[0].length);
+    }
+
+    throw new ParseError("Invalid size", this, pos);
+};
+
+/**
+ * This function lexes a string of whitespace.
+ */
+Lexer.prototype._innerLexWhitespace = function(pos) {
+    var input = this._input;
+
+    var whitespace = matchAt(whitespaceRegex, input, pos)[0];
+    pos += whitespace.length;
+
+    return new Token(whitespace[0], null, pos);
+};
+
+/**
+ * This function lexes a single token starting at `pos` and of the given mode.
+ * Based on the mode, we defer to one of the `_innerLex` functions.
+ */
+Lexer.prototype.lex = function(pos, mode) {
+    if (mode === "math") {
+        return this._innerLex(pos, mathNormals, true);
+    } else if (mode === "text") {
+        return this._innerLex(pos, textNormals, false);
+    } else if (mode === "color") {
+        return this._innerLexColor(pos);
+    } else if (mode === "size") {
+        return this._innerLexSize(pos);
+    } else if (mode === "whitespace") {
+        return this._innerLexWhitespace(pos);
+    }
+};
+
+module.exports = Lexer;
+
+},{"./ParseError":5,"match-at":2}],4:[function(require,module,exports){
+/**
+ * This file contains information about the options that the Parser carries
+ * around with it while parsing. Data is held in an `Options` object, and when
+ * recursing, a new `Options` object can be created with the `.with*` and
+ * `.reset` functions.
+ */
+
+/**
+ * This is the main options class. It contains the style, size, color, and font
+ * of the current parse level. It also contains the style and size of the parent
+ * parse level, so size changes can be handled efficiently.
+ *
+ * Each of the `.with*` and `.reset` functions passes its current style and size
+ * as the parentStyle and parentSize of the new options class, so parent
+ * handling is taken care of automatically.
+ */
+function Options(data) {
+    this.style = data.style;
+    this.color = data.color;
+    this.size = data.size;
+    this.phantom = data.phantom;
+    this.font = data.font;
+
+    if (data.parentStyle === undefined) {
+        this.parentStyle = data.style;
+    } else {
+        this.parentStyle = data.parentStyle;
+    }
+
+    if (data.parentSize === undefined) {
+        this.parentSize = data.size;
+    } else {
+        this.parentSize = data.parentSize;
+    }
+}
+
+/**
+ * Returns a new options object with the same properties as "this".  Properties
+ * from "extension" will be copied to the new options object.
+ */
+Options.prototype.extend = function(extension) {
+    var data = {
+        style: this.style,
+        size: this.size,
+        color: this.color,
+        parentStyle: this.style,
+        parentSize: this.size,
+        phantom: this.phantom,
+        font: this.font
+    };
+
+    for (var key in extension) {
+        if (extension.hasOwnProperty(key)) {
+            data[key] = extension[key];
+        }
+    }
+
+    return new Options(data);
+};
+
+/**
+ * Create a new options object with the given style.
+ */
+Options.prototype.withStyle = function(style) {
+    return this.extend({
+        style: style
+    });
+};
+
+/**
+ * Create a new options object with the given size.
+ */
+Options.prototype.withSize = function(size) {
+    return this.extend({
+        size: size
+    });
+};
+
+/**
+ * Create a new options object with the given color.
+ */
+Options.prototype.withColor = function(color) {
+    return this.extend({
+        color: color
+    });
+};
+
+/**
+ * Create a new options object with "phantom" set to true.
+ */
+Options.prototype.withPhantom = function() {
+    return this.extend({
+        phantom: true
+    });
+};
+
+/**
+ * Create a new options objects with the give font.
+ */
+Options.prototype.withFont = function(font) {
+    return this.extend({
+        font: font
+    });
+};
+
+/**
+ * Create a new options object with the same style, size, and color. This is
+ * used so that parent style and size changes are handled correctly.
+ */
+Options.prototype.reset = function() {
+    return this.extend({});
+};
+
+/**
+ * A map of color names to CSS colors.
+ * TODO(emily): Remove this when we have real macros
+ */
+var colorMap = {
+    "katex-blue": "#6495ed",
+    "katex-orange": "#ffa500",
+    "katex-pink": "#ff00af",
+    "katex-red": "#df0030",
+    "katex-green": "#28ae7b",
+    "katex-gray": "gray",
+    "katex-purple": "#9d38bd",
+    "katex-blueA": "#c7e9f1",
+    "katex-blueB": "#9cdceb",
+    "katex-blueC": "#58c4dd",
+    "katex-blueD": "#29abca",
+    "katex-blueE": "#1c758a",
+    "katex-tealA": "#acead7",
+    "katex-tealB": "#76ddc0",
+    "katex-tealC": "#5cd0b3",
+    "katex-tealD": "#55c1a7",
+    "katex-tealE": "#49a88f",
+    "katex-greenA": "#c9e2ae",
+    "katex-greenB": "#a6cf8c",
+    "katex-greenC": "#83c167",
+    "katex-greenD": "#77b05d",
+    "katex-greenE": "#699c52",
+    "katex-goldA": "#f7c797",
+    "katex-goldB": "#f9b775",
+    "katex-goldC": "#f0ac5f",
+    "katex-goldD": "#e1a158",
+    "katex-goldE": "#c78d46",
+    "katex-redA": "#f7a1a3",
+    "katex-redB": "#ff8080",
+    "katex-redC": "#fc6255",
+    "katex-redD": "#e65a4c",
+    "katex-redE": "#cf5044",
+    "katex-maroonA": "#ecabc1",
+    "katex-maroonB": "#ec92ab",
+    "katex-maroonC": "#c55f73",
+    "katex-maroonD": "#a24d61",
+    "katex-maroonE": "#94424f",
+    "katex-purpleA": "#caa3e8",
+    "katex-purpleB": "#b189c6",
+    "katex-purpleC": "#9a72ac",
+    "katex-purpleD": "#715582",
+    "katex-purpleE": "#644172",
+    "katex-mintA": "#f5f9e8",
+    "katex-mintB": "#edf2df",
+    "katex-mintC": "#e0e5cc",
+    "katex-grayA": "#fdfdfd",
+    "katex-grayB": "#f7f7f7",
+    "katex-grayC": "#eeeeee",
+    "katex-grayD": "#dddddd",
+    "katex-grayE": "#cccccc",
+    "katex-grayF": "#aaaaaa",
+    "katex-grayG": "#999999",
+    "katex-grayH": "#555555",
+    "katex-grayI": "#333333",
+    "katex-kaBlue": "#314453",
+    "katex-kaGreen": "#639b24"
+};
+
+/**
+ * Gets the CSS color of the current options object, accounting for the
+ * `colorMap`.
+ */
+Options.prototype.getColor = function() {
+    if (this.phantom) {
+        return "transparent";
+    } else {
+        return colorMap[this.color] || this.color;
+    }
+};
+
+module.exports = Options;
+
+},{}],5:[function(require,module,exports){
+/**
+ * This is the ParseError class, which is the main error thrown by KaTeX
+ * functions when something has gone wrong. This is used to distinguish internal
+ * errors from errors in the expression that the user provided.
+ */
+function ParseError(message, lexer, position) {
+    var error = "KaTeX parse error: " + message;
+
+    if (lexer !== undefined && position !== undefined) {
+        // If we have the input and a position, make the error a bit fancier
+
+        // Prepend some information
+        error += " at position " + position + ": ";
+
+        // Get the input
+        var input = lexer._input;
+        // Insert a combining underscore at the correct position
+        input = input.slice(0, position) + "\u0332" +
+            input.slice(position);
+
+        // Extract some context from the input and add it to the error
+        var begin = Math.max(0, position - 15);
+        var end = position + 15;
+        error += input.slice(begin, end);
+    }
+
+    // Some hackery to make ParseError a prototype of Error
+    // See http://stackoverflow.com/a/8460753
+    var self = new Error(error);
+    self.name = "ParseError";
+    self.__proto__ = ParseError.prototype;
+
+    self.position = position;
+    return self;
+}
+
+// More hackery
+ParseError.prototype.__proto__ = Error.prototype;
+
+module.exports = ParseError;
+
+},{}],6:[function(require,module,exports){
+var functions = require("./functions");
+var environments = require("./environments");
+var Lexer = require("./Lexer");
+var symbols = require("./symbols");
+var utils = require("./utils");
+
+var parseData = require("./parseData");
+var ParseError = require("./ParseError");
+
+/**
+ * This file contains the parser used to parse out a TeX expression from the
+ * input. Since TeX isn't context-free, standard parsers don't work particularly
+ * well.
+ *
+ * The strategy of this parser is as such:
+ *
+ * The main functions (the `.parse...` ones) take a position in the current
+ * parse string to parse tokens from. The lexer (found in Lexer.js, stored at
+ * this.lexer) also supports pulling out tokens at arbitrary places. When
+ * individual tokens are needed at a position, the lexer is called to pull out a
+ * token, which is then used.
+ *
+ * The main functions also take a mode that the parser is currently in
+ * (currently "math" or "text"), which denotes whether the current environment
+ * is a math-y one or a text-y one (e.g. inside \text). Currently, this serves
+ * to limit the functions which can be used in text mode.
+ *
+ * The main functions then return an object which contains the useful data that
+ * was parsed at its given point, and a new position at the end of the parsed
+ * data. The main functions can call each other and continue the parsing by
+ * using the returned position as a new starting point.
+ *
+ * There are also extra `.handle...` functions, which pull out some reused
+ * functionality into self-contained functions.
+ *
+ * The earlier functions return `ParseResult`s, which contain a ParseNode and a
+ * new position.
+ *
+ * The later functions (which are called deeper in the parse) sometimes return
+ * ParseFuncOrArgument, which contain a ParseResult as well as some data about
+ * whether the parsed object is a function which is missing some arguments, or a
+ * standalone object which can be used as an argument to another function.
+ */
+
+/**
+ * Main Parser class
+ */
+function Parser(input, settings) {
+    // Make a new lexer
+    this.lexer = new Lexer(input);
+    // Store the settings for use in parsing
+    this.settings = settings;
+}
+
+var ParseNode = parseData.ParseNode;
+var ParseResult = parseData.ParseResult;
+
+/**
+ * An initial function (without its arguments), or an argument to a function.
+ * The `result` argument should be a ParseResult.
+ */
+function ParseFuncOrArgument(result, isFunction) {
+    this.result = result;
+    // Is this a function (i.e. is it something defined in functions.js)?
+    this.isFunction = isFunction;
+}
+
+/**
+ * Checks a result to make sure it has the right type, and throws an
+ * appropriate error otherwise.
+ */
+Parser.prototype.expect = function(result, text) {
+    if (result.text !== text) {
+        throw new ParseError(
+            "Expected '" + text + "', got '" + result.text + "'",
+            this.lexer, result.position
+        );
+    }
+};
+
+/**
+ * Main parsing function, which parses an entire input.
+ *
+ * @return {?Array.<ParseNode>}
+ */
+Parser.prototype.parse = function(input) {
+    // Try to parse the input
+    var parse = this.parseInput(0, "math");
+    return parse.result;
+};
+
+/**
+ * Parses an entire input tree.
+ */
+Parser.prototype.parseInput = function(pos, mode) {
+    // Parse an expression
+    var expression = this.parseExpression(pos, mode, false);
+    // If we succeeded, make sure there's an EOF at the end
+    this.expect(expression.peek, "EOF");
+    return expression;
+};
+
+var endOfExpression = ["}", "\\end", "\\right", "&", "\\\\", "\\cr"];
+
+/**
+ * Parses an "expression", which is a list of atoms.
+ *
+ * @param {boolean} breakOnInfix Should the parsing stop when we hit infix
+ *                  nodes? This happens when functions have higher precendence
+ *                  than infix nodes in implicit parses.
+ *
+ * @param {?string} breakOnToken The token that the expression should end with,
+ *                  or `null` if something else should end the expression.
+ *
+ * @return {ParseResult}
+ */
+Parser.prototype.parseExpression = function(pos, mode, breakOnInfix, breakOnToken) {
+    var body = [];
+    var lex = null;
+    // Keep adding atoms to the body until we can't parse any more atoms (either
+    // we reached the end, a }, or a \right)
+    while (true) {
+        lex = this.lexer.lex(pos, mode);
+        if (endOfExpression.indexOf(lex.text) !== -1) {
+            break;
+        }
+        if (breakOnToken && lex.text === breakOnToken) {
+            break;
+        }
+        var atom = this.parseAtom(pos, mode);
+        if (!atom) {
+            break;
+        }
+        if (breakOnInfix && atom.result.type === "infix") {
+            break;
+        }
+        body.push(atom.result);
+        pos = atom.position;
+    }
+    var res = new ParseResult(this.handleInfixNodes(body, mode), pos);
+    res.peek = lex;
+    return res;
+};
+
+/**
+ * Rewrites infix operators such as \over with corresponding commands such
+ * as \frac.
+ *
+ * There can only be one infix operator per group.  If there's more than one
+ * then the expression is ambiguous.  This can be resolved by adding {}.
+ *
+ * @returns {Array}
+ */
+Parser.prototype.handleInfixNodes = function (body, mode) {
+    var overIndex = -1;
+    var func;
+    var funcName;
+
+    for (var i = 0; i < body.length; i++) {
+        var node = body[i];
+        if (node.type === "infix") {
+            if (overIndex !== -1) {
+                throw new ParseError("only one infix operator per group",
+                    this.lexer, -1);
+            }
+            overIndex = i;
+            funcName = node.value.replaceWith;
+            func = functions.funcs[funcName];
+        }
+    }
+
+    if (overIndex !== -1) {
+        var numerNode, denomNode;
+
+        var numerBody = body.slice(0, overIndex);
+        var denomBody = body.slice(overIndex + 1);
+
+        if (numerBody.length === 1 && numerBody[0].type === "ordgroup") {
+            numerNode = numerBody[0];
+        } else {
+            numerNode = new ParseNode("ordgroup", numerBody, mode);
+        }
+
+        if (denomBody.length === 1 && denomBody[0].type === "ordgroup") {
+            denomNode = denomBody[0];
+        } else {
+            denomNode = new ParseNode("ordgroup", denomBody, mode);
+        }
+
+        var value = func.handler(funcName, numerNode, denomNode);
+        return [new ParseNode(value.type, value, mode)];
+    } else {
+        return body;
+    }
+};
+
+// The greediness of a superscript or subscript
+var SUPSUB_GREEDINESS = 1;
+
+/**
+ * Handle a subscript or superscript with nice errors.
+ */
+Parser.prototype.handleSupSubscript = function(pos, mode, symbol, name) {
+    var group = this.parseGroup(pos, mode);
+
+    if (!group) {
+        throw new ParseError(
+            "Expected group after '" + symbol + "'", this.lexer, pos);
+    } else if (group.isFunction) {
+        // ^ and _ have a greediness, so handle interactions with functions'
+        // greediness
+        var funcGreediness = functions.funcs[group.result.result].greediness;
+        if (funcGreediness > SUPSUB_GREEDINESS) {
+            return this.parseFunction(pos, mode);
+        } else {
+            throw new ParseError(
+                "Got function '" + group.result.result + "' with no arguments " +
+                    "as " + name,
+                this.lexer, pos);
+        }
+    } else {
+        return group.result;
+    }
+};
+
+/**
+ * Parses a group with optional super/subscripts.
+ *
+ * @return {?ParseResult}
+ */
+Parser.prototype.parseAtom = function(pos, mode) {
+    // The body of an atom is an implicit group, so that things like
+    // \left(x\right)^2 work correctly.
+    var base = this.parseImplicitGroup(pos, mode);
+
+    // In text mode, we don't have superscripts or subscripts
+    if (mode === "text") {
+        return base;
+    }
+
+    // Handle an empty base
+    var currPos;
+    if (!base) {
+        currPos = pos;
+        base = undefined;
+    } else {
+        currPos = base.position;
+    }
+
+    var superscript;
+    var subscript;
+    var result;
+    while (true) {
+        // Lex the first token
+        var lex = this.lexer.lex(currPos, mode);
+
+        if (lex.text === "^") {
+            // We got a superscript start
+            if (superscript) {
+                throw new ParseError(
+                    "Double superscript", this.lexer, currPos);
+            }
+            result = this.handleSupSubscript(
+                lex.position, mode, lex.text, "superscript");
+            currPos = result.position;
+            superscript = result.result;
+        } else if (lex.text === "_") {
+            // We got a subscript start
+            if (subscript) {
+                throw new ParseError(
+                    "Double subscript", this.lexer, currPos);
+            }
+            result = this.handleSupSubscript(
+                lex.position, mode, lex.text, "subscript");
+            currPos = result.position;
+            subscript = result.result;
+        } else if (lex.text === "'") {
+            // We got a prime
+            var prime = new ParseNode("textord", "\\prime", mode);
+
+            // Many primes can be grouped together, so we handle this here
+            var primes = [prime];
+            currPos = lex.position;
+            // Keep lexing tokens until we get something that's not a prime
+            while ((lex = this.lexer.lex(currPos, mode)).text === "'") {
+                // For each one, add another prime to the list
+                primes.push(prime);
+                currPos = lex.position;
+            }
+            // Put them into an ordgroup as the superscript
+            superscript = new ParseNode("ordgroup", primes, mode);
+        } else {
+            // If it wasn't ^, _, or ', stop parsing super/subscripts
+            break;
+        }
+    }
+
+    if (superscript || subscript) {
+        // If we got either a superscript or subscript, create a supsub
+        return new ParseResult(
+            new ParseNode("supsub", {
+                base: base && base.result,
+                sup: superscript,
+                sub: subscript
+            }, mode),
+            currPos);
+    } else {
+        // Otherwise return the original body
+        return base;
+    }
+};
+
+// A list of the size-changing functions, for use in parseImplicitGroup
+var sizeFuncs = [
+    "\\tiny", "\\scriptsize", "\\footnotesize", "\\small", "\\normalsize",
+    "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge"
+];
+
+// A list of the style-changing functions, for use in parseImplicitGroup
+var styleFuncs = [
+    "\\displaystyle", "\\textstyle", "\\scriptstyle", "\\scriptscriptstyle"
+];
+
+/**
+ * Parses an implicit group, which is a group that starts at the end of a
+ * specified, and ends right before a higher explicit group ends, or at EOL. It
+ * is used for functions that appear to affect the current style, like \Large or
+ * \textrm, where instead of keeping a style we just pretend that there is an
+ * implicit grouping after it until the end of the group. E.g.
+ *   small text {\Large large text} small text again
+ * It is also used for \left and \right to get the correct grouping.
+ *
+ * @return {?ParseResult}
+ */
+Parser.prototype.parseImplicitGroup = function(pos, mode) {
+    var start = this.parseSymbol(pos, mode);
+
+    if (!start || !start.result) {
+        // If we didn't get anything we handle, fall back to parseFunction
+        return this.parseFunction(pos, mode);
+    }
+
+    var func = start.result.result;
+    var body;
+
+    if (func === "\\left") {
+        // If we see a left:
+        // Parse the entire left function (including the delimiter)
+        var left = this.parseFunction(pos, mode);
+        // Parse out the implicit body
+        body = this.parseExpression(left.position, mode, false);
+        // Check the next token
+        this.expect(body.peek, "\\right");
+        var right = this.parseFunction(body.position, mode);
+        return new ParseResult(
+            new ParseNode("leftright", {
+                body: body.result,
+                left: left.result.value.value,
+                right: right.result.value.value
+            }, mode),
+            right.position);
+    } else if (func === "\\begin") {
+        // begin...end is similar to left...right
+        var begin = this.parseFunction(pos, mode);
+        var envName = begin.result.value.name;
+        if (!environments.hasOwnProperty(envName)) {
+            throw new ParseError(
+                "No such environment: " + envName,
+                this.lexer, begin.result.value.namepos);
+        }
+        // Build the environment object. Arguments and other information will
+        // be made available to the begin and end methods using properties.
+        var env = environments[envName];
+        var args = [null, mode, envName];
+        var newPos = this.parseArguments(
+            begin.position, mode, "\\begin{" + envName + "}", env, args);
+        args[0] = newPos;
+        var result = env.handler.apply(this, args);
+        var endLex = this.lexer.lex(result.position, mode);
+        this.expect(endLex, "\\end");
+        var end = this.parseFunction(result.position, mode);
+        if (end.result.value.name !== envName) {
+            throw new ParseError(
+                "Mismatch: \\begin{" + envName + "} matched " +
+                "by \\end{" + end.result.value.name + "}",
+                this.lexer, end.namepos);
+        }
+        result.position = end.position;
+        return result;
+    } else if (utils.contains(sizeFuncs, func)) {
+        // If we see a sizing function, parse out the implict body
+        body = this.parseExpression(start.result.position, mode, false);
+        return new ParseResult(
+            new ParseNode("sizing", {
+                // Figure out what size to use based on the list of functions above
+                size: "size" + (utils.indexOf(sizeFuncs, func) + 1),
+                value: body.result
+            }, mode),
+            body.position);
+    } else if (utils.contains(styleFuncs, func)) {
+        // If we see a styling function, parse out the implict body
+        body = this.parseExpression(start.result.position, mode, true);
+        return new ParseResult(
+            new ParseNode("styling", {
+                // Figure out what style to use by pulling out the style from
+                // the function name
+                style: func.slice(1, func.length - 5),
+                value: body.result
+            }, mode),
+            body.position);
+    } else {
+        // Defer to parseFunction if it's not a function we handle
+        return this.parseFunction(pos, mode);
+    }
+};
+
+/**
+ * Parses an entire function, including its base and all of its arguments
+ *
+ * @return {?ParseResult}
+ */
+Parser.prototype.parseFunction = function(pos, mode) {
+    var baseGroup = this.parseGroup(pos, mode);
+
+    if (baseGroup) {
+        if (baseGroup.isFunction) {
+            var func = baseGroup.result.result;
+            var funcData = functions.funcs[func];
+            if (mode === "text" && !funcData.allowedInText) {
+                throw new ParseError(
+                    "Can't use function '" + func + "' in text mode",
+                    this.lexer, baseGroup.position);
+            }
+
+            var args = [func];
+            var newPos = this.parseArguments(
+                baseGroup.result.position, mode, func, funcData, args);
+            var result = functions.funcs[func].handler.apply(this, args);
+            return new ParseResult(
+                new ParseNode(result.type, result, mode),
+                newPos);
+        } else {
+            return baseGroup.result;
+        }
+    } else {
+        return null;
+    }
+};
+
+
+/**
+ * Parses the arguments of a function or environment
+ *
+ * @param {string} func  "\name" or "\begin{name}"
+ * @param {{numArgs:number,numOptionalArgs:number|undefined}} funcData
+ * @param {Array} args  list of arguments to which new ones will be pushed
+ * @return the position after all arguments have been parsed
+ */
+Parser.prototype.parseArguments = function(pos, mode, func, funcData, args) {
+    var totalArgs = funcData.numArgs + funcData.numOptionalArgs;
+    if (totalArgs === 0) {
+        return pos;
+    }
+
+    var newPos = pos;
+    var baseGreediness = funcData.greediness;
+    var positions = [newPos];
+
+    for (var i = 0; i < totalArgs; i++) {
+        var argType = funcData.argTypes && funcData.argTypes[i];
+        var arg;
+        if (i < funcData.numOptionalArgs) {
+            if (argType) {
+                arg = this.parseSpecialGroup(newPos, argType, mode, true);
+            } else {
+                arg = this.parseOptionalGroup(newPos, mode);
+            }
+            if (!arg) {
+                args.push(null);
+                positions.push(newPos);
+                continue;
+            }
+        } else {
+            if (argType) {
+                arg = this.parseSpecialGroup(newPos, argType, mode);
+            } else {
+                arg = this.parseGroup(newPos, mode);
+            }
+            if (!arg) {
+                throw new ParseError(
+                    "Expected group after '" + func + "'",
+                    this.lexer, newPos);
+            }
+        }
+        var argNode;
+        if (arg.isFunction) {
+            var argGreediness =
+                functions.funcs[arg.result.result].greediness;
+            if (argGreediness > baseGreediness) {
+                argNode = this.parseFunction(newPos, mode);
+            } else {
+                throw new ParseError(
+                    "Got function '" + arg.result.result + "' as " +
+                    "argument to '" + func + "'",
+                    this.lexer, arg.result.position - 1);
+            }
+        } else {
+            argNode = arg.result;
+        }
+        args.push(argNode.result);
+        positions.push(argNode.position);
+        newPos = argNode.position;
+    }
+
+    args.push(positions);
+
+    return newPos;
+};
+
+
+/**
+ * Parses a group when the mode is changing. Takes a position, a new mode, and
+ * an outer mode that is used to parse the outside.
+ *
+ * @return {?ParseFuncOrArgument}
+ */
+Parser.prototype.parseSpecialGroup = function(pos, mode, outerMode, optional) {
+    // Handle `original` argTypes
+    if (mode === "original") {
+        mode = outerMode;
+    }
+
+    if (mode === "color" || mode === "size") {
+        // color and size modes are special because they should have braces and
+        // should only lex a single symbol inside
+        var openBrace = this.lexer.lex(pos, outerMode);
+        if (optional && openBrace.text !== "[") {
+            // optional arguments should return null if they don't exist
+            return null;
+        }
+        this.expect(openBrace, optional ? "[" : "{");
+        var inner = this.lexer.lex(openBrace.position, mode);
+        var data;
+        if (mode === "color") {
+            data = inner.text;
+        } else {
+            data = inner.data;
+        }
+        var closeBrace = this.lexer.lex(inner.position, outerMode);
+        this.expect(closeBrace, optional ? "]" : "}");
+        return new ParseFuncOrArgument(
+            new ParseResult(
+                new ParseNode(mode, data, outerMode),
+                closeBrace.position),
+            false);
+    } else if (mode === "text") {
+        // text mode is special because it should ignore the whitespace before
+        // it
+        var whitespace = this.lexer.lex(pos, "whitespace");
+        pos = whitespace.position;
+    }
+
+    if (optional) {
+        return this.parseOptionalGroup(pos, mode);
+    } else {
+        return this.parseGroup(pos, mode);
+    }
+};
+
+/**
+ * Parses a group, which is either a single nucleus (like "x") or an expression
+ * in braces (like "{x+y}")
+ *
+ * @return {?ParseFuncOrArgument}
+ */
+Parser.prototype.parseGroup = function(pos, mode) {
+    var start = this.lexer.lex(pos, mode);
+    // Try to parse an open brace
+    if (start.text === "{") {
+        // If we get a brace, parse an expression
+        var expression = this.parseExpression(start.position, mode, false);
+        // Make sure we get a close brace
+        var closeBrace = this.lexer.lex(expression.position, mode);
+        this.expect(closeBrace, "}");
+        return new ParseFuncOrArgument(
+            new ParseResult(
+                new ParseNode("ordgroup", expression.result, mode),
+                closeBrace.position),
+            false);
+    } else {
+        // Otherwise, just return a nucleus
+        return this.parseSymbol(pos, mode);
+    }
+};
+
+/**
+ * Parses a group, which is an expression in brackets (like "[x+y]")
+ *
+ * @return {?ParseFuncOrArgument}
+ */
+Parser.prototype.parseOptionalGroup = function(pos, mode) {
+    var start = this.lexer.lex(pos, mode);
+    // Try to parse an open bracket
+    if (start.text === "[") {
+        // If we get a brace, parse an expression
+        var expression = this.parseExpression(start.position, mode, false, "]");
+        // Make sure we get a close bracket
+        var closeBracket = this.lexer.lex(expression.position, mode);
+        this.expect(closeBracket, "]");
+        return new ParseFuncOrArgument(
+            new ParseResult(
+                new ParseNode("ordgroup", expression.result, mode),
+                closeBracket.position),
+            false);
+    } else {
+        // Otherwise, return null,
+        return null;
+    }
+};
+
+/**
+ * Parse a single symbol out of the string. Here, we handle both the functions
+ * we have defined, as well as the single character symbols
+ *
+ * @return {?ParseFuncOrArgument}
+ */
+Parser.prototype.parseSymbol = function(pos, mode) {
+    var nucleus = this.lexer.lex(pos, mode);
+
+    if (functions.funcs[nucleus.text]) {
+        // If there exists a function with this name, we return the function and
+        // say that it is a function.
+        return new ParseFuncOrArgument(
+            new ParseResult(nucleus.text, nucleus.position),
+            true);
+    } else if (symbols[mode][nucleus.text]) {
+        // Otherwise if this is a no-argument function, find the type it
+        // corresponds to in the symbols map
+        return new ParseFuncOrArgument(
+            new ParseResult(
+                new ParseNode(symbols[mode][nucleus.text].group,
+                              nucleus.text, mode),
+                nucleus.position),
+            false);
+    } else {
+        return null;
+    }
+};
+
+Parser.prototype.ParseNode = ParseNode;
+
+module.exports = Parser;
+
+},{"./Lexer":3,"./ParseError":5,"./environments":15,"./functions":17,"./parseData":19,"./symbols":21,"./utils":22}],7:[function(require,module,exports){
+/**
+ * This is a module for storing settings passed into KaTeX. It correctly handles
+ * default settings.
+ */
+
+/**
+ * Helper function for getting a default value if the value is undefined
+ */
+function get(option, defaultValue) {
+    return option === undefined ? defaultValue : option;
+}
+
+/**
+ * The main Settings object
+ *
+ * The current options stored are:
+ *  - displayMode: Whether the expression should be typeset by default in
+ *                 textstyle or displaystyle (default false)
+ */
+function Settings(options) {
+    // allow null options
+    options = options || {};
+    this.displayMode = get(options.displayMode, false);
+}
+
+module.exports = Settings;
+
+},{}],8:[function(require,module,exports){
+/**
+ * This file contains information and classes for the various kinds of styles
+ * used in TeX. It provides a generic `Style` class, which holds information
+ * about a specific style. It then provides instances of all the different kinds
+ * of styles possible, and provides functions to move between them and get
+ * information about them.
+ */
+
+/**
+ * The main style class. Contains a unique id for the style, a size (which is
+ * the same for cramped and uncramped version of a style), a cramped flag, and a
+ * size multiplier, which gives the size difference between a style and
+ * textstyle.
+ */
+function Style(id, size, multiplier, cramped) {
+    this.id = id;
+    this.size = size;
+    this.cramped = cramped;
+    this.sizeMultiplier = multiplier;
+}
+
+/**
+ * Get the style of a superscript given a base in the current style.
+ */
+Style.prototype.sup = function() {
+    return styles[sup[this.id]];
+};
+
+/**
+ * Get the style of a subscript given a base in the current style.
+ */
+Style.prototype.sub = function() {
+    return styles[sub[this.id]];
+};
+
+/**
+ * Get the style of a fraction numerator given the fraction in the current
+ * style.
+ */
+Style.prototype.fracNum = function() {
+    return styles[fracNum[this.id]];
+};
+
+/**
+ * Get the style of a fraction denominator given the fraction in the current
+ * style.
+ */
+Style.prototype.fracDen = function() {
+    return styles[fracDen[this.id]];
+};
+
+/**
+ * Get the cramped version of a style (in particular, cramping a cramped style
+ * doesn't change the style).
+ */
+Style.prototype.cramp = function() {
+    return styles[cramp[this.id]];
+};
+
+/**
+ * HTML class name, like "displaystyle cramped"
+ */
+Style.prototype.cls = function() {
+    return sizeNames[this.size] + (this.cramped ? " cramped" : " uncramped");
+};
+
+/**
+ * HTML Reset class name, like "reset-textstyle"
+ */
+Style.prototype.reset = function() {
+    return resetNames[this.size];
+};
+
+// IDs of the different styles
+var D = 0;
+var Dc = 1;
+var T = 2;
+var Tc = 3;
+var S = 4;
+var Sc = 5;
+var SS = 6;
+var SSc = 7;
+
+// String names for the different sizes
+var sizeNames = [
+    "displaystyle textstyle",
+    "textstyle",
+    "scriptstyle",
+    "scriptscriptstyle"
+];
+
+// Reset names for the different sizes
+var resetNames = [
+    "reset-textstyle",
+    "reset-textstyle",
+    "reset-scriptstyle",
+    "reset-scriptscriptstyle"
+];
+
+// Instances of the different styles
+var styles = [
+    new Style(D, 0, 1.0, false),
+    new Style(Dc, 0, 1.0, true),
+    new Style(T, 1, 1.0, false),
+    new Style(Tc, 1, 1.0, true),
+    new Style(S, 2, 0.7, false),
+    new Style(Sc, 2, 0.7, true),
+    new Style(SS, 3, 0.5, false),
+    new Style(SSc, 3, 0.5, true)
+];
+
+// Lookup tables for switching from one style to another
+var sup = [S, Sc, S, Sc, SS, SSc, SS, SSc];
+var sub = [Sc, Sc, Sc, Sc, SSc, SSc, SSc, SSc];
+var fracNum = [T, Tc, S, Sc, SS, SSc, SS, SSc];
+var fracDen = [Tc, Tc, Sc, Sc, SSc, SSc, SSc, SSc];
+var cramp = [Dc, Dc, Tc, Tc, Sc, Sc, SSc, SSc];
+
+// We only export some of the styles. Also, we don't export the `Style` class so
+// no more styles can be generated.
+module.exports = {
+    DISPLAY: styles[D],
+    TEXT: styles[T],
+    SCRIPT: styles[S],
+    SCRIPTSCRIPT: styles[SS]
+};
+
+},{}],9:[function(require,module,exports){
+/**
+ * This module contains general functions that can be used for building
+ * different kinds of domTree nodes in a consistent manner.
+ */
+
+var domTree = require("./domTree");
+var fontMetrics = require("./fontMetrics");
+var symbols = require("./symbols");
+var utils = require("./utils");
+
+/**
+ * Makes a symbolNode after translation via the list of symbols in symbols.js.
+ * Correctly pulls out metrics for the character, and optionally takes a list of
+ * classes to be attached to the node.
+ */
+var makeSymbol = function(value, style, mode, color, classes) {
+    // Replace the value with its replaced value from symbol.js
+    if (symbols[mode][value] && symbols[mode][value].replace) {
+        value = symbols[mode][value].replace;
+    }
+
+    var metrics = fontMetrics.getCharacterMetrics(value, style);
+
+    var symbolNode;
+    if (metrics) {
+        symbolNode = new domTree.symbolNode(
+            value, metrics.height, metrics.depth, metrics.italic, metrics.skew,
+            classes);
+    } else {
+        // TODO(emily): Figure out a good way to only print this in development
+        typeof console !== "undefined" && console.warn(
+            "No character metrics for '" + value + "' in style '" +
+                style + "'");
+        symbolNode = new domTree.symbolNode(value, 0, 0, 0, 0, classes);
+    }
+
+    if (color) {
+        symbolNode.style.color = color;
+    }
+
+    return symbolNode;
+};
+
+/**
+ * Makes a symbol in Main-Regular or AMS-Regular.
+ * Used for rel, bin, open, close, inner, and punct.
+ */
+var mathsym = function(value, mode, color, classes) {
+    // Decide what font to render the symbol in by its entry in the symbols
+    // table.
+    if (symbols[mode][value].font === "main") {
+        return makeSymbol(value, "Main-Regular", mode, color, classes);
+    } else {
+        return makeSymbol(
+            value, "AMS-Regular", mode, color, classes.concat(["amsrm"]));
+    }
+};
+
+/**
+ * Makes a symbol in the default font for mathords and textords.
+ */
+var mathDefault = function(value, mode, color, classes, type) {
+    if (type === "mathord") {
+        return mathit(value, mode, color, classes);
+    } else if (type === "textord") {
+        return makeSymbol(
+            value, "Main-Regular", mode, color, classes.concat(["mathrm"]));
+    } else {
+        throw new Error("unexpected type: " + type + " in mathDefault");
+    }
+};
+
+/**
+ * Makes a symbol in the italic math font.
+ */
+var mathit = function(value, mode, color, classes) {
+    if (/[0-9]/.test(value.charAt(0)) ||
+        utils.contains(["\u0131", "\u0237"], value) ||
+        utils.contains(greekCapitals, value)) {
+        return makeSymbol(
+            value, "Main-Italic", mode, color, classes.concat(["mainit"]));
+    } else {
+        return makeSymbol(
+            value, "Math-Italic", mode, color, classes.concat(["mathit"]));
+    }
+};
+
+/**
+ * Makes either a mathord or textord in the correct font and color.
+ */
+var makeOrd = function(group, options, type) {
+    var mode = group.mode;
+    var value = group.value;
+    if (symbols[mode][value] && symbols[mode][value].replace) {
+        value = symbols[mode][value].replace;
+    }
+
+    var classes = ["mord"];
+    var color = options.getColor();
+
+    var font = options.font;
+    if (font) {
+        if (font === "mathit" || utils.contains(["\u0131", "\u0237"], value)) {
+            return mathit(value, mode, color, classes.concat(["mathit"]));
+        } else {
+            var fontName = fontMap[font].fontName;
+            if (fontMetrics.getCharacterMetrics(value, fontName)) {
+                return makeSymbol(value, fontName, mode, color, classes.concat([font]));
+            } else {
+                return mathDefault(value, mode, color, classes, type);
+            }
+        }
+    } else {
+        return mathDefault(value, mode, color, classes, type);
+    }
+};
+
+/**
+ * Calculate the height, depth, and maxFontSize of an element based on its
+ * children.
+ */
+var sizeElementFromChildren = function(elem) {
+    var height = 0;
+    var depth = 0;
+    var maxFontSize = 0;
+
+    if (elem.children) {
+        for (var i = 0; i < elem.children.length; i++) {
+            if (elem.children[i].height > height) {
+                height = elem.children[i].height;
+            }
+            if (elem.children[i].depth > depth) {
+                depth = elem.children[i].depth;
+            }
+            if (elem.children[i].maxFontSize > maxFontSize) {
+                maxFontSize = elem.children[i].maxFontSize;
+            }
+        }
+    }
+
+    elem.height = height;
+    elem.depth = depth;
+    elem.maxFontSize = maxFontSize;
+};
+
+/**
+ * Makes a span with the given list of classes, list of children, and color.
+ */
+var makeSpan = function(classes, children, color) {
+    var span = new domTree.span(classes, children);
+
+    sizeElementFromChildren(span);
+
+    if (color) {
+        span.style.color = color;
+    }
+
+    return span;
+};
+
+/**
+ * Makes a document fragment with the given list of children.
+ */
+var makeFragment = function(children) {
+    var fragment = new domTree.documentFragment(children);
+
+    sizeElementFromChildren(fragment);
+
+    return fragment;
+};
+
+/**
+ * Makes an element placed in each of the vlist elements to ensure that each
+ * element has the same max font size. To do this, we create a zero-width space
+ * with the correct font size.
+ */
+var makeFontSizer = function(options, fontSize) {
+    var fontSizeInner = makeSpan([], [new domTree.symbolNode("\u200b")]);
+    fontSizeInner.style.fontSize = (fontSize / options.style.sizeMultiplier) + "em";
+
+    var fontSizer = makeSpan(
+        ["fontsize-ensurer", "reset-" + options.size, "size5"],
+        [fontSizeInner]);
+
+    return fontSizer;
+};
+
+/**
+ * Makes a vertical list by stacking elements and kerns on top of each other.
+ * Allows for many different ways of specifying the positioning method.
+ *
+ * Arguments:
+ *  - children: A list of child or kern nodes to be stacked on top of each other
+ *              (i.e. the first element will be at the bottom, and the last at
+ *              the top). Element nodes are specified as
+ *                {type: "elem", elem: node}
+ *              while kern nodes are specified as
+ *                {type: "kern", size: size}
+ *  - positionType: The method by which the vlist should be positioned. Valid
+ *                  values are:
+ *                   - "individualShift": The children list only contains elem
+ *                                        nodes, and each node contains an extra
+ *                                        "shift" value of how much it should be
+ *                                        shifted (note that shifting is always
+ *                                        moving downwards). positionData is
+ *                                        ignored.
+ *                   - "top": The positionData specifies the topmost point of
+ *                            the vlist (note this is expected to be a height,
+ *                            so positive values move up)
+ *                   - "bottom": The positionData specifies the bottommost point
+ *                               of the vlist (note this is expected to be a
+ *                               depth, so positive values move down
+ *                   - "shift": The vlist will be positioned such that its
+ *                              baseline is positionData away from the baseline
+ *                              of the first child. Positive values move
+ *                              downwards.
+ *                   - "firstBaseline": The vlist will be positioned such that
+ *                                      its baseline is aligned with the
+ *                                      baseline of the first child.
+ *                                      positionData is ignored. (this is
+ *                                      equivalent to "shift" with
+ *                                      positionData=0)
+ *  - positionData: Data used in different ways depending on positionType
+ *  - options: An Options object
+ *
+ */
+var makeVList = function(children, positionType, positionData, options) {
+    var depth;
+    var currPos;
+    var i;
+    if (positionType === "individualShift") {
+        var oldChildren = children;
+        children = [oldChildren[0]];
+
+        // Add in kerns to the list of children to get each element to be
+        // shifted to the correct specified shift
+        depth = -oldChildren[0].shift - oldChildren[0].elem.depth;
+        currPos = depth;
+        for (i = 1; i < oldChildren.length; i++) {
+            var diff = -oldChildren[i].shift - currPos -
+                oldChildren[i].elem.depth;
+            var size = diff -
+                (oldChildren[i - 1].elem.height +
+                 oldChildren[i - 1].elem.depth);
+
+            currPos = currPos + diff;
+
+            children.push({type: "kern", size: size});
+            children.push(oldChildren[i]);
+        }
+    } else if (positionType === "top") {
+        // We always start at the bottom, so calculate the bottom by adding up
+        // all the sizes
+        var bottom = positionData;
+        for (i = 0; i < children.length; i++) {
+            if (children[i].type === "kern") {
+                bottom -= children[i].size;
+            } else {
+                bottom -= children[i].elem.height + children[i].elem.depth;
+            }
+        }
+        depth = bottom;
+    } else if (positionType === "bottom") {
+        depth = -positionData;
+    } else if (positionType === "shift") {
+        depth = -children[0].elem.depth - positionData;
+    } else if (positionType === "firstBaseline") {
+        depth = -children[0].elem.depth;
+    } else {
+        depth = 0;
+    }
+
+    // Make the fontSizer
+    var maxFontSize = 0;
+    for (i = 0; i < children.length; i++) {
+        if (children[i].type === "elem") {
+            maxFontSize = Math.max(maxFontSize, children[i].elem.maxFontSize);
+        }
+    }
+    var fontSizer = makeFontSizer(options, maxFontSize);
+
+    // Create a new list of actual children at the correct offsets
+    var realChildren = [];
+    currPos = depth;
+    for (i = 0; i < children.length; i++) {
+        if (children[i].type === "kern") {
+            currPos += children[i].size;
+        } else {
+            var child = children[i].elem;
+
+            var shift = -child.depth - currPos;
+            currPos += child.height + child.depth;
+
+            var childWrap = makeSpan([], [fontSizer, child]);
+            childWrap.height -= shift;
+            childWrap.depth += shift;
+            childWrap.style.top = shift + "em";
+
+            realChildren.push(childWrap);
+        }
+    }
+
+    // Add in an element at the end with no offset to fix the calculation of
+    // baselines in some browsers (namely IE, sometimes safari)
+    var baselineFix = makeSpan(
+        ["baseline-fix"], [fontSizer, new domTree.symbolNode("\u200b")]);
+    realChildren.push(baselineFix);
+
+    var vlist = makeSpan(["vlist"], realChildren);
+    // Fix the final height and depth, in case there were kerns at the ends
+    // since the makeSpan calculation won't take that in to account.
+    vlist.height = Math.max(currPos, vlist.height);
+    vlist.depth = Math.max(-depth, vlist.depth);
+    return vlist;
+};
+
+// A table of size -> font size for the different sizing functions
+var sizingMultiplier = {
+    size1: 0.5,
+    size2: 0.7,
+    size3: 0.8,
+    size4: 0.9,
+    size5: 1.0,
+    size6: 1.2,
+    size7: 1.44,
+    size8: 1.73,
+    size9: 2.07,
+    size10: 2.49
+};
+
+// A map of spacing functions to their attributes, like size and corresponding
+// CSS class
+var spacingFunctions = {
+    "\\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"
+    }
+};
+
+var greekCapitals = [
+    "\\Gamma",
+    "\\Delta",
+    "\\Theta",
+    "\\Lambda",
+    "\\Xi",
+    "\\Pi",
+    "\\Sigma",
+    "\\Upsilon",
+    "\\Phi",
+    "\\Psi",
+    "\\Omega"
+];
+
+/**
+ * Maps TeX font commands to objects containing:
+ * - variant: string used for "mathvariant" attribute in buildMathML.js
+ * - fontName: the "style" parameter to fontMetrics.getCharacterMetrics
+ */
+// A map between tex font commands an MathML mathvariant attribute values
+var fontMap = {
+    // styles
+    "mathbf": {
+        variant: "bold",
+        fontName: "Main-Bold"
+    },
+    "mathrm": {
+        variant: "normal",
+        fontName: "Main-Regular"
+    },
+
+    // families
+    "mathbb": {
+        variant: "double-struck",
+        fontName: "AMS-Regular"
+    },
+    "mathcal": {
+        variant: "script",
+        fontName: "Caligraphic-Regular"
+    },
+    "mathfrak": {
+        variant: "fraktur",
+        fontName: "Fraktur-Regular"
+    },
+    "mathscr": {
+        variant: "script",
+        fontName: "Script-Regular"
+    },
+    "mathsf": {
+        variant: "sans-serif",
+        fontName: "SansSerif-Regular"
+    },
+    "mathtt": {
+        variant: "monospace",
+        fontName: "Typewriter-Regular"
+    }
+};
+
+module.exports = {
+    makeSymbol: makeSymbol,
+    fontMap: fontMap,
+    mathsym: mathsym,
+    makeSpan: makeSpan,
+    makeFragment: makeFragment,
+    makeVList: makeVList,
+    makeOrd: makeOrd,
+    sizingMultiplier: sizingMultiplier,
+    spacingFunctions: spacingFunctions
+};
+
+},{"./domTree":14,"./fontMetrics":16,"./symbols":21,"./utils":22}],10:[function(require,module,exports){
+/**
+ * This file does the main work of building a domTree structure from a parse
+ * tree. The entry point is the `buildHTML` function, which takes a parse tree.
+ * Then, the buildExpression, buildGroup, and various groupTypes functions are
+ * called, to produce a final HTML tree.
+ */
+
+var Options = require("./Options");
+var ParseError = require("./ParseError");
+var Style = require("./Style");
+
+var buildCommon = require("./buildCommon");
+var delimiter = require("./delimiter");
+var domTree = require("./domTree");
+var fontMetrics = require("./fontMetrics");
+var utils = require("./utils");
+
+var makeSpan = buildCommon.makeSpan;
+
+/**
+ * Take a list of nodes, build them in order, and return a list of the built
+ * nodes. This function handles the `prev` node correctly, and passes the
+ * previous element from the list as the prev of the next element.
+ */
+var buildExpression = function(expression, options, prev) {
+    var groups = [];
+    for (var i = 0; i < expression.length; i++) {
+        var group = expression[i];
+        groups.push(buildGroup(group, options, prev));
+        prev = group;
+    }
+    return groups;
+};
+
+// List of types used by getTypeOfGroup
+var groupToType = {
+    mathord: "mord",
+    textord: "mord",
+    bin: "mbin",
+    rel: "mrel",
+    text: "mord",
+    open: "mopen",
+    close: "mclose",
+    inner: "minner",
+    genfrac: "mord",
+    array: "minner",
+    spacing: "mord",
+    punct: "mpunct",
+    ordgroup: "mord",
+    op: "mop",
+    katex: "mord",
+    overline: "mord",
+    rule: "mord",
+    leftright: "minner",
+    sqrt: "mord",
+    accent: "mord"
+};
+
+/**
+ * Gets the final math type of an expression, given its group type. This type is
+ * used to determine spacing between elements, and affects bin elements by
+ * causing them to change depending on what types are around them. This type
+ * must be attached to the outermost node of an element as a CSS class so that
+ * spacing with its surrounding elements works correctly.
+ *
+ * Some elements can be mapped one-to-one from group type to math type, and
+ * those are listed in the `groupToType` table.
+ *
+ * Others (usually elements that wrap around other elements) often have
+ * recursive definitions, and thus call `getTypeOfGroup` on their inner
+ * elements.
+ */
+var getTypeOfGroup = function(group) {
+    if (group == null) {
+        // Like when typesetting $^3$
+        return groupToType.mathord;
+    } else if (group.type === "supsub") {
+        return getTypeOfGroup(group.value.base);
+    } else if (group.type === "llap" || group.type === "rlap") {
+        return getTypeOfGroup(group.value);
+    } else if (group.type === "color") {
+        return getTypeOfGroup(group.value.value);
+    } else if (group.type === "sizing") {
+        return getTypeOfGroup(group.value.value);
+    } else if (group.type === "styling") {
+        return getTypeOfGroup(group.value.value);
+    } else if (group.type === "delimsizing") {
+        return groupToType[group.value.delimType];
+    } else {
+        return groupToType[group.type];
+    }
+};
+
+/**
+ * Sometimes, groups perform special rules when they have superscripts or
+ * subscripts attached to them. This function lets the `supsub` group know that
+ * its inner element should handle the superscripts and subscripts instead of
+ * handling them itself.
+ */
+var shouldHandleSupSub = function(group, options) {
+    if (!group) {
+        return false;
+    } else if (group.type === "op") {
+        // Operators handle supsubs differently when they have limits
+        // (e.g. `\displaystyle\sum_2^3`)
+        return group.value.limits && options.style.size === Style.DISPLAY.size;
+    } else if (group.type === "accent") {
+        return isCharacterBox(group.value.base);
+    } else {
+        return null;
+    }
+};
+
+/**
+ * Sometimes we want to pull out the innermost element of a group. In most
+ * cases, this will just be the group itself, but when ordgroups and colors have
+ * a single element, we want to pull that out.
+ */
+var getBaseElem = function(group) {
+    if (!group) {
+        return false;
+    } else if (group.type === "ordgroup") {
+        if (group.value.length === 1) {
+            return getBaseElem(group.value[0]);
+        } else {
+            return group;
+        }
+    } else if (group.type === "color") {
+        if (group.value.value.length === 1) {
+            return getBaseElem(group.value.value[0]);
+        } else {
+            return group;
+        }
+    } else {
+        return group;
+    }
+};
+
+/**
+ * TeXbook algorithms often reference "character boxes", which are simply groups
+ * with a single character in them. To decide if something is a character box,
+ * we find its innermost group, and see if it is a single character.
+ */
+var isCharacterBox = function(group) {
+    var baseElem = getBaseElem(group);
+
+    // These are all they types of groups which hold single characters
+    return baseElem.type === "mathord" ||
+        baseElem.type === "textord" ||
+        baseElem.type === "bin" ||
+        baseElem.type === "rel" ||
+        baseElem.type === "inner" ||
+        baseElem.type === "open" ||
+        baseElem.type === "close" ||
+        baseElem.type === "punct";
+};
+
+var makeNullDelimiter = function(options) {
+    return makeSpan([
+        "sizing", "reset-" + options.size, "size5",
+        options.style.reset(), Style.TEXT.cls(),
+        "nulldelimiter"
+    ]);
+};
+
+/**
+ * This is a map of group types to the function used to handle that type.
+ * Simpler types come at the beginning, while complicated types come afterwards.
+ */
+var groupTypes = {
+    mathord: function(group, options, prev) {
+        return buildCommon.makeOrd(group, options, "mathord");
+    },
+
+    textord: function(group, options, prev) {
+        return buildCommon.makeOrd(group, options, "textord");
+    },
+
+    bin: function(group, options, prev) {
+        var className = "mbin";
+        // Pull out the most recent element. Do some special handling to find
+        // things at the end of a \color group. Note that we don't use the same
+        // logic for ordgroups (which count as ords).
+        var prevAtom = prev;
+        while (prevAtom && prevAtom.type === "color") {
+            var atoms = prevAtom.value.value;
+            prevAtom = atoms[atoms.length - 1];
+        }
+        // See TeXbook pg. 442-446, Rules 5 and 6, and the text before Rule 19.
+        // Here, we determine whether the bin should turn into an ord. We
+        // currently only apply Rule 5.
+        if (!prev || utils.contains(["mbin", "mopen", "mrel", "mop", "mpunct"],
+                getTypeOfGroup(prevAtom))) {
+            group.type = "textord";
+            className = "mord";
+        }
+
+        return buildCommon.mathsym(
+            group.value, group.mode, options.getColor(), [className]);
+    },
+
+    rel: function(group, options, prev) {
+        return buildCommon.mathsym(
+            group.value, group.mode, options.getColor(), ["mrel"]);
+    },
+
+    open: function(group, options, prev) {
+        return buildCommon.mathsym(
+            group.value, group.mode, options.getColor(), ["mopen"]);
+    },
+
+    close: function(group, options, prev) {
+        return buildCommon.mathsym(
+            group.value, group.mode, options.getColor(), ["mclose"]);
+    },
+
+    inner: function(group, options, prev) {
+        return buildCommon.mathsym(
+            group.value, group.mode, options.getColor(), ["minner"]);
+    },
+
+    punct: function(group, options, prev) {
+        return buildCommon.mathsym(
+            group.value, group.mode, options.getColor(), ["mpunct"]);
+    },
+
+    ordgroup: function(group, options, prev) {
+        return makeSpan(
+            ["mord", options.style.cls()],
+            buildExpression(group.value, options.reset())
+        );
+    },
+
+    text: function(group, options, prev) {
+        return makeSpan(["text", "mord", options.style.cls()],
+            buildExpression(group.value.body, options.reset()));
+    },
+
+    color: function(group, options, prev) {
+        var elements = buildExpression(
+            group.value.value,
+            options.withColor(group.value.color),
+            prev
+        );
+
+        // \color isn't supposed to affect the type of the elements it contains.
+        // To accomplish this, we wrap the results in a fragment, so the inner
+        // elements will be able to directly interact with their neighbors. For
+        // example, `\color{red}{2 +} 3` has the same spacing as `2 + 3`
+        return new buildCommon.makeFragment(elements);
+    },
+
+    supsub: function(group, options, prev) {
+        // Superscript and subscripts are handled in the TeXbook on page
+        // 445-446, rules 18(a-f).
+
+        // Here is where we defer to the inner group if it should handle
+        // superscripts and subscripts itself.
+        if (shouldHandleSupSub(group.value.base, options)) {
+            return groupTypes[group.value.base.type](group, options, prev);
+        }
+
+        var base = buildGroup(group.value.base, options.reset());
+        var supmid, submid, sup, sub;
+
+        if (group.value.sup) {
+            sup = buildGroup(group.value.sup,
+                    options.withStyle(options.style.sup()));
+            supmid = makeSpan(
+                    [options.style.reset(), options.style.sup().cls()], [sup]);
+        }
+
+        if (group.value.sub) {
+            sub = buildGroup(group.value.sub,
+                    options.withStyle(options.style.sub()));
+            submid = makeSpan(
+                    [options.style.reset(), options.style.sub().cls()], [sub]);
+        }
+
+        // Rule 18a
+        var supShift, subShift;
+        if (isCharacterBox(group.value.base)) {
+            supShift = 0;
+            subShift = 0;
+        } else {
+            supShift = base.height - fontMetrics.metrics.supDrop;
+            subShift = base.depth + fontMetrics.metrics.subDrop;
+        }
+
+        // Rule 18c
+        var minSupShift;
+        if (options.style === Style.DISPLAY) {
+            minSupShift = fontMetrics.metrics.sup1;
+        } else if (options.style.cramped) {
+            minSupShift = fontMetrics.metrics.sup3;
+        } else {
+            minSupShift = fontMetrics.metrics.sup2;
+        }
+
+        // scriptspace is a font-size-independent size, so scale it
+        // appropriately
+        var multiplier = Style.TEXT.sizeMultiplier *
+                options.style.sizeMultiplier;
+        var scriptspace =
+            (0.5 / fontMetrics.metrics.ptPerEm) / multiplier + "em";
+
+        var supsub;
+        if (!group.value.sup) {
+            // Rule 18b
+            subShift = Math.max(
+                subShift, fontMetrics.metrics.sub1,
+                sub.height - 0.8 * fontMetrics.metrics.xHeight);
+
+            supsub = buildCommon.makeVList([
+                {type: "elem", elem: submid}
+            ], "shift", subShift, options);
+
+            supsub.children[0].style.marginRight = scriptspace;
+
+            // Subscripts shouldn't be shifted by the base's italic correction.
+            // Account for that by shifting the subscript back the appropriate
+            // amount. Note we only do this when the base is a single symbol.
+            if (base instanceof domTree.symbolNode) {
+                supsub.children[0].style.marginLeft = -base.italic + "em";
+            }
+        } else if (!group.value.sub) {
+            // Rule 18c, d
+            supShift = Math.max(supShift, minSupShift,
+                sup.depth + 0.25 * fontMetrics.metrics.xHeight);
+
+            supsub = buildCommon.makeVList([
+                {type: "elem", elem: supmid}
+            ], "shift", -supShift, options);
+
+            supsub.children[0].style.marginRight = scriptspace;
+        } else {
+            supShift = Math.max(
+                supShift, minSupShift,
+                sup.depth + 0.25 * fontMetrics.metrics.xHeight);
+            subShift = Math.max(subShift, fontMetrics.metrics.sub2);
+
+            var ruleWidth = fontMetrics.metrics.defaultRuleThickness;
+
+            // Rule 18e
+            if ((supShift - sup.depth) - (sub.height - subShift) <
+                    4 * ruleWidth) {
+                subShift = 4 * ruleWidth - (supShift - sup.depth) + sub.height;
+                var psi = 0.8 * fontMetrics.metrics.xHeight -
+                    (supShift - sup.depth);
+                if (psi > 0) {
+                    supShift += psi;
+                    subShift -= psi;
+                }
+            }
+
+            supsub = buildCommon.makeVList([
+                {type: "elem", elem: submid, shift: subShift},
+                {type: "elem", elem: supmid, shift: -supShift}
+            ], "individualShift", null, options);
+
+            // See comment above about subscripts not being shifted
+            if (base instanceof domTree.symbolNode) {
+                supsub.children[0].style.marginLeft = -base.italic + "em";
+            }
+
+            supsub.children[0].style.marginRight = scriptspace;
+            supsub.children[1].style.marginRight = scriptspace;
+        }
+
+        return makeSpan([getTypeOfGroup(group.value.base)],
+            [base, supsub]);
+    },
+
+    genfrac: function(group, options, prev) {
+        // Fractions are handled in the TeXbook on pages 444-445, rules 15(a-e).
+        // Figure out what style this fraction should be in based on the
+        // function used
+        var fstyle = options.style;
+        if (group.value.size === "display") {
+            fstyle = Style.DISPLAY;
+        } else if (group.value.size === "text") {
+            fstyle = Style.TEXT;
+        }
+
+        var nstyle = fstyle.fracNum();
+        var dstyle = fstyle.fracDen();
+
+        var numer = buildGroup(group.value.numer, options.withStyle(nstyle));
+        var numerreset = makeSpan([fstyle.reset(), nstyle.cls()], [numer]);
+
+        var denom = buildGroup(group.value.denom, options.withStyle(dstyle));
+        var denomreset = makeSpan([fstyle.reset(), dstyle.cls()], [denom]);
+
+        var ruleWidth;
+        if (group.value.hasBarLine) {
+            ruleWidth = fontMetrics.metrics.defaultRuleThickness /
+                options.style.sizeMultiplier;
+        } else {
+            ruleWidth = 0;
+        }
+
+        // Rule 15b
+        var numShift;
+        var clearance;
+        var denomShift;
+        if (fstyle.size === Style.DISPLAY.size) {
+            numShift = fontMetrics.metrics.num1;
+            if (ruleWidth > 0) {
+                clearance = 3 * ruleWidth;
+            } else {
+                clearance = 7 * fontMetrics.metrics.defaultRuleThickness;
+            }
+            denomShift = fontMetrics.metrics.denom1;
+        } else {
+            if (ruleWidth > 0) {
+                numShift = fontMetrics.metrics.num2;
+                clearance = ruleWidth;
+            } else {
+                numShift = fontMetrics.metrics.num3;
+                clearance = 3 * fontMetrics.metrics.defaultRuleThickness;
+            }
+            denomShift = fontMetrics.metrics.denom2;
+        }
+
+        var frac;
+        if (ruleWidth === 0) {
+            // Rule 15c
+            var candiateClearance =
+                (numShift - numer.depth) - (denom.height - denomShift);
+            if (candiateClearance < clearance) {
+                numShift += 0.5 * (clearance - candiateClearance);
+                denomShift += 0.5 * (clearance - candiateClearance);
+            }
+
+            frac = buildCommon.makeVList([
+                {type: "elem", elem: denomreset, shift: denomShift},
+                {type: "elem", elem: numerreset, shift: -numShift}
+            ], "individualShift", null, options);
+        } else {
+            // Rule 15d
+            var axisHeight = fontMetrics.metrics.axisHeight;
+
+            if ((numShift - numer.depth) - (axisHeight + 0.5 * ruleWidth) <
+                    clearance) {
+                numShift +=
+                    clearance - ((numShift - numer.depth) -
+                                 (axisHeight + 0.5 * ruleWidth));
+            }
+
+            if ((axisHeight - 0.5 * ruleWidth) - (denom.height - denomShift) <
+                    clearance) {
+                denomShift +=
+                    clearance - ((axisHeight - 0.5 * ruleWidth) -
+                                 (denom.height - denomShift));
+            }
+
+            var mid = makeSpan(
+                [options.style.reset(), Style.TEXT.cls(), "frac-line"]);
+            // Manually set the height of the line because its height is
+            // created in CSS
+            mid.height = ruleWidth;
+
+            var midShift = -(axisHeight - 0.5 * ruleWidth);
+
+            frac = buildCommon.makeVList([
+                {type: "elem", elem: denomreset, shift: denomShift},
+                {type: "elem", elem: mid,        shift: midShift},
+                {type: "elem", elem: numerreset, shift: -numShift}
+            ], "individualShift", null, options);
+        }
+
+        // Since we manually change the style sometimes (with \dfrac or \tfrac),
+        // account for the possible size change here.
+        frac.height *= fstyle.sizeMultiplier / options.style.sizeMultiplier;
+        frac.depth *= fstyle.sizeMultiplier / options.style.sizeMultiplier;
+
+        // Rule 15e
+        var delimSize;
+        if (fstyle.size === Style.DISPLAY.size) {
+            delimSize = fontMetrics.metrics.delim1;
+        } else {
+            delimSize = fontMetrics.metrics.getDelim2(fstyle);
+        }
+
+        var leftDelim, rightDelim;
+        if (group.value.leftDelim == null) {
+            leftDelim = makeNullDelimiter(options);
+        } else {
+            leftDelim = delimiter.customSizedDelim(
+                group.value.leftDelim, delimSize, true,
+                options.withStyle(fstyle), group.mode);
+        }
+        if (group.value.rightDelim == null) {
+            rightDelim = makeNullDelimiter(options);
+        } else {
+            rightDelim = delimiter.customSizedDelim(
+                group.value.rightDelim, delimSize, true,
+                options.withStyle(fstyle), group.mode);
+        }
+
+        return makeSpan(
+            ["mord", options.style.reset(), fstyle.cls()],
+            [leftDelim, makeSpan(["mfrac"], [frac]), rightDelim],
+            options.getColor());
+    },
+
+    array: function(group, options, prev) {
+        var r, c;
+        var nr = group.value.body.length;
+        var nc = 0;
+        var body = new Array(nr);
+
+        // Horizontal spacing
+        var pt = 1 / fontMetrics.metrics.ptPerEm;
+        var arraycolsep = 5 * pt; // \arraycolsep in article.cls
+
+        // Vertical spacing
+        var baselineskip = 12 * pt; // see size10.clo
+        // Default \arraystretch from lttab.dtx
+        // TODO(gagern): may get redefined once we have user-defined macros
+        var arraystretch = utils.deflt(group.value.arraystretch, 1);
+        var arrayskip = arraystretch * baselineskip;
+        var arstrutHeight = 0.7 * arrayskip; // \strutbox in ltfsstrc.dtx and
+        var arstrutDepth = 0.3 * arrayskip;  // \@arstrutbox in lttab.dtx
+
+        var totalHeight = 0;
+        for (r = 0; r < group.value.body.length; ++r) {
+            var inrow = group.value.body[r];
+            var height = arstrutHeight; // \@array adds an \@arstrut
+            var depth = arstrutDepth;   // to each tow (via the template)
+            if (nc < inrow.length) {
+                nc = inrow.length;
+            }
+            var outrow = new Array(inrow.length);
+            for (c = 0; c < inrow.length; ++c) {
+                var elt = buildGroup(inrow[c], options);
+                if (depth < elt.depth) {
+                    depth = elt.depth;
+                }
+                if (height < elt.height) {
+                    height = elt.height;
+                }
+                outrow[c] = elt;
+            }
+            var gap = 0;
+            if (group.value.rowGaps[r]) {
+                gap = group.value.rowGaps[r].value;
+                switch (gap.unit) {
+                case "em":
+                    gap = gap.number;
+                    break;
+                case "ex":
+                    gap = gap.number * fontMetrics.metrics.emPerEx;
+                    break;
+                default:
+                    console.error("Can't handle unit " + gap.unit);
+                    gap = 0;
+                }
+                if (gap > 0) { // \@argarraycr
+                    gap += arstrutDepth;
+                    if (depth < gap) {
+                        depth = gap; // \@xargarraycr
+                    }
+                    gap = 0;
+                }
+            }
+            outrow.height = height;
+            outrow.depth = depth;
+            totalHeight += height;
+            outrow.pos = totalHeight;
+            totalHeight += depth + gap; // \@yargarraycr
+            body[r] = outrow;
+        }
+        var offset = totalHeight / 2 + fontMetrics.metrics.axisHeight;
+        var coldescriptions = group.value.cols || [];
+        var cols = [];
+        var colsep;
+        for (c = 0; c < nc; ++c) {
+            var coldescr = coldescriptions[c] || {};
+            var sepwidth;
+            if (c > 0 || group.value.hskipBeforeAndAfter) {
+                sepwidth = utils.deflt(coldescr.pregap, arraycolsep);
+                if (sepwidth !== 0) {
+                    colsep = makeSpan(["arraycolsep"], []);
+                    colsep.style.width = sepwidth + "em";
+                    cols.push(colsep);
+                }
+            }
+            var col = [];
+            for (r = 0; r < nr; ++r) {
+                var row = body[r];
+                var elem = row[c];
+                if (!elem) {
+                    continue;
+                }
+                var shift = row.pos - offset;
+                elem.depth = row.depth;
+                elem.height = row.height;
+                col.push({type: "elem", elem: elem, shift: shift});
+            }
+            col = buildCommon.makeVList(col, "individualShift", null, options);
+            col = makeSpan(
+                ["col-align-" + (coldescr.align || "c")],
+                [col]);
+            cols.push(col);
+            if (c < nc - 1 || group.value.hskipBeforeAndAfter) {
+                sepwidth = utils.deflt(coldescr.postgap, arraycolsep);
+                if (sepwidth !== 0) {
+                    colsep = makeSpan(["arraycolsep"], []);
+                    colsep.style.width = sepwidth + "em";
+                    cols.push(colsep);
+                }
+            }
+        }
+        body = makeSpan(["mtable"], cols);
+        return makeSpan(["minner"], [body], options.getColor());
+    },
+
+    spacing: function(group, options, prev) {
+        if (group.value === "\\ " || group.value === "\\space" ||
+            group.value === " " || group.value === "~") {
+            // Spaces are generated by adding an actual space. Each of these
+            // things has an entry in the symbols table, so these will be turned
+            // into appropriate outputs.
+            return makeSpan(
+                ["mord", "mspace"],
+                [buildCommon.mathsym(group.value, group.mode)]
+            );
+        } else {
+            // Other kinds of spaces are of arbitrary width. We use CSS to
+            // generate these.
+            return makeSpan(
+                ["mord", "mspace",
+                 buildCommon.spacingFunctions[group.value].className]);
+        }
+    },
+
+    llap: function(group, options, prev) {
+        var inner = makeSpan(
+            ["inner"], [buildGroup(group.value.body, options.reset())]);
+        var fix = makeSpan(["fix"], []);
+        return makeSpan(
+            ["llap", options.style.cls()], [inner, fix]);
+    },
+
+    rlap: function(group, options, prev) {
+        var inner = makeSpan(
+            ["inner"], [buildGroup(group.value.body, options.reset())]);
+        var fix = makeSpan(["fix"], []);
+        return makeSpan(
+            ["rlap", options.style.cls()], [inner, fix]);
+    },
+
+    op: function(group, options, prev) {
+        // Operators are handled in the TeXbook pg. 443-444, rule 13(a).
+        var supGroup;
+        var subGroup;
+        var hasLimits = false;
+        if (group.type === "supsub" ) {
+            // If we have limits, supsub will pass us its group to handle. Pull
+            // out the superscript and subscript and set the group to the op in
+            // its base.
+            supGroup = group.value.sup;
+            subGroup = group.value.sub;
+            group = group.value.base;
+            hasLimits = true;
+        }
+
+        // Most operators have a large successor symbol, but these don't.
+        var noSuccessor = [
+            "\\smallint"
+        ];
+
+        var large = false;
+        if (options.style.size === Style.DISPLAY.size &&
+            group.value.symbol &&
+            !utils.contains(noSuccessor, group.value.body)) {
+
+            // Most symbol operators get larger in displaystyle (rule 13)
+            large = true;
+        }
+
+        var base;
+        var baseShift = 0;
+        var slant = 0;
+        if (group.value.symbol) {
+            // If this is a symbol, create the symbol.
+            var style = large ? "Size2-Regular" : "Size1-Regular";
+            base = buildCommon.makeSymbol(
+                group.value.body, style, "math", options.getColor(),
+                ["op-symbol", large ? "large-op" : "small-op", "mop"]);
+
+            // Shift the symbol so its center lies on the axis (rule 13). It
+            // appears that our fonts have the centers of the symbols already
+            // almost on the axis, so these numbers are very small. Note we
+            // don't actually apply this here, but instead it is used either in
+            // the vlist creation or separately when there are no limits.
+            baseShift = (base.height - base.depth) / 2 -
+                fontMetrics.metrics.axisHeight *
+                options.style.sizeMultiplier;
+
+            // The slant of the symbol is just its italic correction.
+            slant = base.italic;
+        } else {
+            // Otherwise, this is a text operator. Build the text from the
+            // operator's name.
+            // TODO(emily): Add a space in the middle of some of these
+            // operators, like \limsup
+            var output = [];
+            for (var i = 1; i < group.value.body.length; i++) {
+                output.push(buildCommon.mathsym(group.value.body[i], group.mode));
+            }
+            base = makeSpan(["mop"], output, options.getColor());
+        }
+
+        if (hasLimits) {
+            // IE 8 clips \int if it is in a display: inline-block. We wrap it
+            // in a new span so it is an inline, and works.
+            base = makeSpan([], [base]);
+
+            var supmid, supKern, submid, subKern;
+            // We manually have to handle the superscripts and subscripts. This,
+            // aside from the kern calculations, is copied from supsub.
+            if (supGroup) {
+                var sup = buildGroup(
+                    supGroup, options.withStyle(options.style.sup()));
+                supmid = makeSpan(
+                    [options.style.reset(), options.style.sup().cls()], [sup]);
+
+                supKern = Math.max(
+                    fontMetrics.metrics.bigOpSpacing1,
+                    fontMetrics.metrics.bigOpSpacing3 - sup.depth);
+            }
+
+            if (subGroup) {
+                var sub = buildGroup(
+                    subGroup, options.withStyle(options.style.sub()));
+                submid = makeSpan(
+                    [options.style.reset(), options.style.sub().cls()],
+                    [sub]);
+
+                subKern = Math.max(
+                    fontMetrics.metrics.bigOpSpacing2,
+                    fontMetrics.metrics.bigOpSpacing4 - sub.height);
+            }
+
+            // Build the final group as a vlist of the possible subscript, base,
+            // and possible superscript.
+            var finalGroup, top, bottom;
+            if (!supGroup) {
+                top = base.height - baseShift;
+
+                finalGroup = buildCommon.makeVList([
+                    {type: "kern", size: fontMetrics.metrics.bigOpSpacing5},
+                    {type: "elem", elem: submid},
+                    {type: "kern", size: subKern},
+                    {type: "elem", elem: base}
+                ], "top", top, options);
+
+                // Here, we shift the limits by the slant of the symbol. Note
+                // that we are supposed to shift the limits by 1/2 of the slant,
+                // but since we are centering the limits adding a full slant of
+                // margin will shift by 1/2 that.
+                finalGroup.children[0].style.marginLeft = -slant + "em";
+            } else if (!subGroup) {
+                bottom = base.depth + baseShift;
+
+                finalGroup = buildCommon.makeVList([
+                    {type: "elem", elem: base},
+                    {type: "kern", size: supKern},
+                    {type: "elem", elem: supmid},
+                    {type: "kern", size: fontMetrics.metrics.bigOpSpacing5}
+                ], "bottom", bottom, options);
+
+                // See comment above about slants
+                finalGroup.children[1].style.marginLeft = slant + "em";
+            } else if (!supGroup && !subGroup) {
+                // This case probably shouldn't occur (this would mean the
+                // supsub was sending us a group with no superscript or
+                // subscript) but be safe.
+                return base;
+            } else {
+                bottom = fontMetrics.metrics.bigOpSpacing5 +
+                    submid.height + submid.depth +
+                    subKern +
+                    base.depth + baseShift;
+
+                finalGroup = buildCommon.makeVList([
+                    {type: "kern", size: fontMetrics.metrics.bigOpSpacing5},
+                    {type: "elem", elem: submid},
+                    {type: "kern", size: subKern},
+                    {type: "elem", elem: base},
+                    {type: "kern", size: supKern},
+                    {type: "elem", elem: supmid},
+                    {type: "kern", size: fontMetrics.metrics.bigOpSpacing5}
+                ], "bottom", bottom, options);
+
+                // See comment above about slants
+                finalGroup.children[0].style.marginLeft = -slant + "em";
+                finalGroup.children[2].style.marginLeft = slant + "em";
+            }
+
+            return makeSpan(["mop", "op-limits"], [finalGroup]);
+        } else {
+            if (group.value.symbol) {
+                base.style.top = baseShift + "em";
+            }
+
+            return base;
+        }
+    },
+
+    katex: function(group, options, prev) {
+        // The KaTeX logo. The offsets for the K and a were chosen to look
+        // good, but the offsets for the T, E, and X were taken from the
+        // definition of \TeX in TeX (see TeXbook pg. 356)
+        var k = makeSpan(
+            ["k"], [buildCommon.mathsym("K", group.mode)]);
+        var a = makeSpan(
+            ["a"], [buildCommon.mathsym("A", group.mode)]);
+
+        a.height = (a.height + 0.2) * 0.75;
+        a.depth = (a.height - 0.2) * 0.75;
+
+        var t = makeSpan(
+            ["t"], [buildCommon.mathsym("T", group.mode)]);
+        var e = makeSpan(
+            ["e"], [buildCommon.mathsym("E", group.mode)]);
+
+        e.height = (e.height - 0.2155);
+        e.depth = (e.depth + 0.2155);
+
+        var x = makeSpan(
+            ["x"], [buildCommon.mathsym("X", group.mode)]);
+
+        return makeSpan(
+            ["katex-logo"], [k, a, t, e, x], options.getColor());
+    },
+
+    overline: function(group, options, prev) {
+        // Overlines are handled in the TeXbook pg 443, Rule 9.
+
+        // Build the inner group in the cramped style.
+        var innerGroup = buildGroup(group.value.body,
+                options.withStyle(options.style.cramp()));
+
+        var ruleWidth = fontMetrics.metrics.defaultRuleThickness /
+            options.style.sizeMultiplier;
+
+        // Create the line above the body
+        var line = makeSpan(
+            [options.style.reset(), Style.TEXT.cls(), "overline-line"]);
+        line.height = ruleWidth;
+        line.maxFontSize = 1.0;
+
+        // Generate the vlist, with the appropriate kerns
+        var vlist = buildCommon.makeVList([
+            {type: "elem", elem: innerGroup},
+            {type: "kern", size: 3 * ruleWidth},
+            {type: "elem", elem: line},
+            {type: "kern", size: ruleWidth}
+        ], "firstBaseline", null, options);
+
+        return makeSpan(["overline", "mord"], [vlist], options.getColor());
+    },
+
+    sqrt: function(group, options, prev) {
+        // Square roots are handled in the TeXbook pg. 443, Rule 11.
+
+        // First, we do the same steps as in overline to build the inner group
+        // and line
+        var inner = buildGroup(group.value.body,
+                options.withStyle(options.style.cramp()));
+
+        var ruleWidth = fontMetrics.metrics.defaultRuleThickness /
+            options.style.sizeMultiplier;
+
+        var line = makeSpan(
+            [options.style.reset(), Style.TEXT.cls(), "sqrt-line"], [],
+            options.getColor());
+        line.height = ruleWidth;
+        line.maxFontSize = 1.0;
+
+        var phi = ruleWidth;
+        if (options.style.id < Style.TEXT.id) {
+            phi = fontMetrics.metrics.xHeight;
+        }
+
+        // Calculate the clearance between the body and line
+        var lineClearance = ruleWidth + phi / 4;
+
+        var innerHeight =
+            (inner.height + inner.depth) * options.style.sizeMultiplier;
+        var minDelimiterHeight = innerHeight + lineClearance + ruleWidth;
+
+        // Create a \surd delimiter of the required minimum size
+        var delim = makeSpan(["sqrt-sign"], [
+            delimiter.customSizedDelim("\\surd", minDelimiterHeight,
+                                       false, options, group.mode)],
+                             options.getColor());
+
+        var delimDepth = (delim.height + delim.depth) - ruleWidth;
+
+        // Adjust the clearance based on the delimiter size
+        if (delimDepth > inner.height + inner.depth + lineClearance) {
+            lineClearance =
+                (lineClearance + delimDepth - inner.height - inner.depth) / 2;
+        }
+
+        // Shift the delimiter so that its top lines up with the top of the line
+        var delimShift = -(inner.height + lineClearance + ruleWidth) + delim.height;
+        delim.style.top = delimShift + "em";
+        delim.height -= delimShift;
+        delim.depth += delimShift;
+
+        // We add a special case here, because even when `inner` is empty, we
+        // still get a line. So, we use a simple heuristic to decide if we
+        // should omit the body entirely. (note this doesn't work for something
+        // like `\sqrt{\rlap{x}}`, but if someone is doing that they deserve for
+        // it not to work.
+        var body;
+        if (inner.height === 0 && inner.depth === 0) {
+            body = makeSpan();
+        } else {
+            body = buildCommon.makeVList([
+                {type: "elem", elem: inner},
+                {type: "kern", size: lineClearance},
+                {type: "elem", elem: line},
+                {type: "kern", size: ruleWidth}
+            ], "firstBaseline", null, options);
+        }
+
+        if (!group.value.index) {
+            return makeSpan(["sqrt", "mord"], [delim, body]);
+        } else {
+            // Handle the optional root index
+
+            // The index is always in scriptscript style
+            var root = buildGroup(
+                group.value.index,
+                options.withStyle(Style.SCRIPTSCRIPT));
+            var rootWrap = makeSpan(
+                [options.style.reset(), Style.SCRIPTSCRIPT.cls()],
+                [root]);
+
+            // Figure out the height and depth of the inner part
+            var innerRootHeight = Math.max(delim.height, body.height);
+            var innerRootDepth = Math.max(delim.depth, body.depth);
+
+            // The amount the index is shifted by. This is taken from the TeX
+            // source, in the definition of `\r@@t`.
+            var toShift = 0.6 * (innerRootHeight - innerRootDepth);
+
+            // Build a VList with the superscript shifted up correctly
+            var rootVList = buildCommon.makeVList(
+                [{type: "elem", elem: rootWrap}],
+                "shift", -toShift, options);
+            // Add a class surrounding it so we can add on the appropriate
+            // kerning
+            var rootVListWrap = makeSpan(["root"], [rootVList]);
+
+            return makeSpan(["sqrt", "mord"], [rootVListWrap, delim, body]);
+        }
+    },
+
+    sizing: function(group, options, prev) {
+        // Handle sizing operators like \Huge. Real TeX doesn't actually allow
+        // these functions inside of math expressions, so we do some special
+        // handling.
+        var inner = buildExpression(group.value.value,
+                options.withSize(group.value.size), prev);
+
+        var span = makeSpan(["mord"],
+            [makeSpan(["sizing", "reset-" + options.size, group.value.size,
+                       options.style.cls()],
+                      inner)]);
+
+        // Calculate the correct maxFontSize manually
+        var fontSize = buildCommon.sizingMultiplier[group.value.size];
+        span.maxFontSize = fontSize * options.style.sizeMultiplier;
+
+        return span;
+    },
+
+    styling: function(group, options, prev) {
+        // Style changes are handled in the TeXbook on pg. 442, Rule 3.
+
+        // Figure out what style we're changing to.
+        var style = {
+            "display": Style.DISPLAY,
+            "text": Style.TEXT,
+            "script": Style.SCRIPT,
+            "scriptscript": Style.SCRIPTSCRIPT
+        };
+
+        var newStyle = style[group.value.style];
+
+        // Build the inner expression in the new style.
+        var inner = buildExpression(
+            group.value.value, options.withStyle(newStyle), prev);
+
+        return makeSpan([options.style.reset(), newStyle.cls()], inner);
+    },
+
+    font: function(group, options, prev) {
+        var font = group.value.font;
+        return buildGroup(group.value.body, options.withFont(font), prev);
+    },
+
+    delimsizing: function(group, options, prev) {
+        var delim = group.value.value;
+
+        if (delim === ".") {
+            // Empty delimiters still count as elements, even though they don't
+            // show anything.
+            return makeSpan([groupToType[group.value.delimType]]);
+        }
+
+        // Use delimiter.sizedDelim to generate the delimiter.
+        return makeSpan(
+            [groupToType[group.value.delimType]],
+            [delimiter.sizedDelim(
+                delim, group.value.size, options, group.mode)]);
+    },
+
+    leftright: function(group, options, prev) {
+        // Build the inner expression
+        var inner = buildExpression(group.value.body, options.reset());
+
+        var innerHeight = 0;
+        var innerDepth = 0;
+
+        // Calculate its height and depth
+        for (var i = 0; i < inner.length; i++) {
+            innerHeight = Math.max(inner[i].height, innerHeight);
+            innerDepth = Math.max(inner[i].depth, innerDepth);
+        }
+
+        // The size of delimiters is the same, regardless of what style we are
+        // in. Thus, to correctly calculate the size of delimiter we need around
+        // a group, we scale down the inner size based on the size.
+        innerHeight *= options.style.sizeMultiplier;
+        innerDepth *= options.style.sizeMultiplier;
+
+        var leftDelim;
+        if (group.value.left === ".") {
+            // Empty delimiters in \left and \right make null delimiter spaces.
+            leftDelim = makeNullDelimiter(options);
+        } else {
+            // Otherwise, use leftRightDelim to generate the correct sized
+            // delimiter.
+            leftDelim = delimiter.leftRightDelim(
+                group.value.left, innerHeight, innerDepth, options,
+                group.mode);
+        }
+        // Add it to the beginning of the expression
+        inner.unshift(leftDelim);
+
+        var rightDelim;
+        // Same for the right delimiter
+        if (group.value.right === ".") {
+            rightDelim = makeNullDelimiter(options);
+        } else {
+            rightDelim = delimiter.leftRightDelim(
+                group.value.right, innerHeight, innerDepth, options,
+                group.mode);
+        }
+        // Add it to the end of the expression.
+        inner.push(rightDelim);
+
+        return makeSpan(
+            ["minner", options.style.cls()], inner, options.getColor());
+    },
+
+    rule: function(group, options, prev) {
+        // Make an empty span for the rule
+        var rule = makeSpan(["mord", "rule"], [], options.getColor());
+
+        // Calculate the shift, width, and height of the rule, and account for units
+        var shift = 0;
+        if (group.value.shift) {
+            shift = group.value.shift.number;
+            if (group.value.shift.unit === "ex") {
+                shift *= fontMetrics.metrics.xHeight;
+            }
+        }
+
+        var width = group.value.width.number;
+        if (group.value.width.unit === "ex") {
+            width *= fontMetrics.metrics.xHeight;
+        }
+
+        var height = group.value.height.number;
+        if (group.value.height.unit === "ex") {
+            height *= fontMetrics.metrics.xHeight;
+        }
+
+        // The sizes of rules are absolute, so make it larger if we are in a
+        // smaller style.
+        shift /= options.style.sizeMultiplier;
+        width /= options.style.sizeMultiplier;
+        height /= options.style.sizeMultiplier;
+
+        // Style the rule to the right size
+        rule.style.borderRightWidth = width + "em";
+        rule.style.borderTopWidth = height + "em";
+        rule.style.bottom = shift + "em";
+
+        // Record the height and width
+        rule.width = width;
+        rule.height = height + shift;
+        rule.depth = -shift;
+
+        return rule;
+    },
+
+    accent: function(group, options, prev) {
+        // Accents are handled in the TeXbook pg. 443, rule 12.
+        var base = group.value.base;
+
+        var supsubGroup;
+        if (group.type === "supsub") {
+            // If our base is a character box, and we have superscripts and
+            // subscripts, the supsub will defer to us. In particular, we want
+            // to attach the superscripts and subscripts to the inner body (so
+            // that the position of the superscripts and subscripts won't be
+            // affected by the height of the accent). We accomplish this by
+            // sticking the base of the accent into the base of the supsub, and
+            // rendering that, while keeping track of where the accent is.
+
+            // The supsub group is the group that was passed in
+            var supsub = group;
+            // The real accent group is the base of the supsub group
+            group = supsub.value.base;
+            // The character box is the base of the accent group
+            base = group.value.base;
+            // Stick the character box into the base of the supsub group
+            supsub.value.base = base;
+
+            // Rerender the supsub group with its new base, and store that
+            // result.
+            supsubGroup = buildGroup(
+                supsub, options.reset(), prev);
+        }
+
+        // Build the base group
+        var body = buildGroup(
+            base, options.withStyle(options.style.cramp()));
+
+        // Calculate the skew of the accent. This is based on the line "If the
+        // nucleus is not a single character, let s = 0; otherwise set s to the
+        // kern amount for the nucleus followed by the \skewchar of its font."
+        // Note that our skew metrics are just the kern between each character
+        // and the skewchar.
+        var skew;
+        if (isCharacterBox(base)) {
+            // If the base is a character box, then we want the skew of the
+            // innermost character. To do that, we find the innermost character:
+            var baseChar = getBaseElem(base);
+            // Then, we render its group to get the symbol inside it
+            var baseGroup = buildGroup(
+                baseChar, options.withStyle(options.style.cramp()));
+            // Finally, we pull the skew off of the symbol.
+            skew = baseGroup.skew;
+            // Note that we now throw away baseGroup, because the layers we
+            // removed with getBaseElem might contain things like \color which
+            // we can't get rid of.
+            // TODO(emily): Find a better way to get the skew
+        } else {
+            skew = 0;
+        }
+
+        // calculate the amount of space between the body and the accent
+        var clearance = Math.min(body.height, fontMetrics.metrics.xHeight);
+
+        // Build the accent
+        var accent = buildCommon.makeSymbol(
+            group.value.accent, "Main-Regular", "math", options.getColor());
+        // Remove the italic correction of the accent, because it only serves to
+        // shift the accent over to a place we don't want.
+        accent.italic = 0;
+
+        // The \vec character that the fonts use is a combining character, and
+        // thus shows up much too far to the left. To account for this, we add a
+        // specific class which shifts the accent over to where we want it.
+        // TODO(emily): Fix this in a better way, like by changing the font
+        var vecClass = group.value.accent === "\\vec" ? "accent-vec" : null;
+
+        var accentBody = makeSpan(["accent-body", vecClass], [
+            makeSpan([], [accent])]);
+
+        accentBody = buildCommon.makeVList([
+            {type: "elem", elem: body},
+            {type: "kern", size: -clearance},
+            {type: "elem", elem: accentBody}
+        ], "firstBaseline", null, options);
+
+        // Shift the accent over by the skew. Note we shift by twice the skew
+        // because we are centering the accent, so by adding 2*skew to the left,
+        // we shift it to the right by 1*skew.
+        accentBody.children[1].style.marginLeft = 2 * skew + "em";
+
+        var accentWrap = makeSpan(["mord", "accent"], [accentBody]);
+
+        if (supsubGroup) {
+            // Here, we replace the "base" child of the supsub with our newly
+            // generated accent.
+            supsubGroup.children[0] = accentWrap;
+
+            // Since we don't rerun the height calculation after replacing the
+            // accent, we manually recalculate height.
+            supsubGroup.height = Math.max(accentWrap.height, supsubGroup.height);
+
+            // Accents should always be ords, even when their innards are not.
+            supsubGroup.classes[0] = "mord";
+
+            return supsubGroup;
+        } else {
+            return accentWrap;
+        }
+    },
+
+    phantom: function(group, options, prev) {
+        var elements = buildExpression(
+            group.value.value,
+            options.withPhantom(),
+            prev
+        );
+
+        // \phantom isn't supposed to affect the elements it contains.
+        // See "color" for more details.
+        return new buildCommon.makeFragment(elements);
+    }
+};
+
+/**
+ * buildGroup is the function that takes a group and calls the correct groupType
+ * function for it. It also handles the interaction of size and style changes
+ * between parents and children.
+ */
+var buildGroup = function(group, options, prev) {
+    if (!group) {
+        return makeSpan();
+    }
+
+    if (groupTypes[group.type]) {
+        // Call the groupTypes function
+        var groupNode = groupTypes[group.type](group, options, prev);
+        var multiplier;
+
+        // If the style changed between the parent and the current group,
+        // account for the size difference
+        if (options.style !== options.parentStyle) {
+            multiplier = options.style.sizeMultiplier /
+                    options.parentStyle.sizeMultiplier;
+
+            groupNode.height *= multiplier;
+            groupNode.depth *= multiplier;
+        }
+
+        // If the size changed between the parent and the current group, account
+        // for that size difference.
+        if (options.size !== options.parentSize) {
+            multiplier = buildCommon.sizingMultiplier[options.size] /
+                    buildCommon.sizingMultiplier[options.parentSize];
+
+            groupNode.height *= multiplier;
+            groupNode.depth *= multiplier;
+        }
+
+        return groupNode;
+    } else {
+        throw new ParseError(
+            "Got group of unknown type: '" + group.type + "'");
+    }
+};
+
+/**
+ * Take an entire parse tree, and build it into an appropriate set of HTML
+ * nodes.
+ */
+var buildHTML = function(tree, settings) {
+    // buildExpression is destructive, so we need to make a clone
+    // of the incoming tree so that it isn't accidentally changed
+    tree = JSON.parse(JSON.stringify(tree));
+
+    var startStyle = Style.TEXT;
+    if (settings.displayMode) {
+        startStyle = Style.DISPLAY;
+    }
+
+    // Setup the default options
+    var options = new Options({
+        style: startStyle,
+        size: "size5"
+    });
+
+    // Build the expression contained in the tree
+    var expression = buildExpression(tree, options);
+    var body = makeSpan(["base", options.style.cls()], expression);
+
+    // Add struts, which ensure that the top of the HTML element falls at the
+    // height of the expression, and the bottom of the HTML element falls at the
+    // depth of the expression.
+    var topStrut = makeSpan(["strut"]);
+    var bottomStrut = makeSpan(["strut", "bottom"]);
+
+    topStrut.style.height = body.height + "em";
+    bottomStrut.style.height = (body.height + body.depth) + "em";
+    // We'd like to use `vertical-align: top` but in IE 9 this lowers the
+    // baseline of the box to the bottom of this strut (instead staying in the
+    // normal place) so we use an absolute value for vertical-align instead
+    bottomStrut.style.verticalAlign = -body.depth + "em";
+
+    // Wrap the struts and body together
+    var htmlNode = makeSpan(["katex-html"], [topStrut, bottomStrut, body]);
+
+    htmlNode.setAttribute("aria-hidden", "true");
+
+    return htmlNode;
+};
+
+module.exports = buildHTML;
+
+},{"./Options":4,"./ParseError":5,"./Style":8,"./buildCommon":9,"./delimiter":13,"./domTree":14,"./fontMetrics":16,"./utils":22}],11:[function(require,module,exports){
+/**
+ * This file converts a parse tree into a cooresponding MathML tree. The main
+ * entry point is the `buildMathML` function, which takes a parse tree from the
+ * parser.
+ */
+
+var buildCommon = require("./buildCommon");
+var fontMetrics = require("./fontMetrics");
+var mathMLTree = require("./mathMLTree");
+var Options = require("./Options");
+var ParseError = require("./ParseError");
+var Settings = require("../src/Settings");
+var Style = require("./Style");
+var symbols = require("./symbols");
+var utils = require("./utils");
+
+var makeSpan = buildCommon.makeSpan;
+var fontMap = buildCommon.fontMap;
+
+/**
+ * Takes a symbol and converts it into a MathML text node after performing
+ * optional replacement from symbols.js.
+ */
+var makeText = function(text, mode) {
+    if (symbols[mode][text] && symbols[mode][text].replace) {
+        text = symbols[mode][text].replace;
+    }
+
+    return new mathMLTree.TextNode(text);
+};
+
+/**
+ * Returns the math variant as a string or null if none is required.
+ */
+var getVariant = function(group, options) {
+    var font = options.font;
+    if (!font) {
+        return null;
+    }
+
+    var mode = group.mode;
+    if (font === "mathit") {
+        return "italic";
+    }
+
+    var value = group.value;
+    if (utils.contains(["\\imath", "\\jmath"], value)) {
+        return null;
+    }
+
+    if (symbols[mode][value] && symbols[mode][value].replace) {
+        value = symbols[mode][value].replace;
+    }
+
+    var fontName = fontMap[font].fontName;
+    if (fontMetrics.getCharacterMetrics(value, fontName)) {
+        return fontMap[options.font].variant;
+    }
+
+    return null;
+};
+
+/**
+ * Functions for handling the different types of groups found in the parse
+ * tree. Each function should take a parse group and return a MathML node.
+ */
+var groupTypes = {
+    mathord: function(group, options) {
+        var node = new mathMLTree.MathNode(
+            "mi",
+            [makeText(group.value, group.mode)]);
+
+        var variant = getVariant(group, options);
+        if (variant) {
+            node.setAttribute("mathvariant", variant);
+        }
+        return node;
+    },
+
+    textord: function(group, options) {
+        var text = makeText(group.value, group.mode);
+
+        var variant = getVariant(group, options) || "normal";
+
+        var node;
+        if (/[0-9]/.test(group.value)) {
+            // TODO(kevinb) merge adjacent <mn> nodes
+            // do it as a post processing step
+            node = new mathMLTree.MathNode("mn", [text]);
+            if (options.font) {
+                node.setAttribute("mathvariant", variant);
+            }
+        } else {
+            node = new mathMLTree.MathNode("mi", [text]);
+            node.setAttribute("mathvariant", variant);
+        }
+
+        return node;
+    },
+
+    bin: function(group) {
+        var node = new mathMLTree.MathNode(
+            "mo", [makeText(group.value, group.mode)]);
+
+        return node;
+    },
+
+    rel: function(group) {
+        var node = new mathMLTree.MathNode(
+            "mo", [makeText(group.value, group.mode)]);
+
+        return node;
+    },
+
+    open: function(group) {
+        var node = new mathMLTree.MathNode(
+            "mo", [makeText(group.value, group.mode)]);
+
+        return node;
+    },
+
+    close: function(group) {
+        var node = new mathMLTree.MathNode(
+            "mo", [makeText(group.value, group.mode)]);
+
+        return node;
+    },
+
+    inner: function(group) {
+        var node = new mathMLTree.MathNode(
+            "mo", [makeText(group.value, group.mode)]);
+
+        return node;
+    },
+
+    punct: function(group) {
+        var node = new mathMLTree.MathNode(
+            "mo", [makeText(group.value, group.mode)]);
+
+        node.setAttribute("separator", "true");
+
+        return node;
+    },
+
+    ordgroup: function(group, options) {
+        var inner = buildExpression(group.value, options);
+
+        var node = new mathMLTree.MathNode("mrow", inner);
+
+        return node;
+    },
+
+    text: function(group, options) {
+        var inner = buildExpression(group.value.body, options);
+
+        var node = new mathMLTree.MathNode("mtext", inner);
+
+        return node;
+    },
+
+    color: function(group, options) {
+        var inner = buildExpression(group.value.value, options);
+
+        var node = new mathMLTree.MathNode("mstyle", inner);
+
+        node.setAttribute("mathcolor", group.value.color);
+
+        return node;
+    },
+
+    supsub: function(group, options) {
+        var children = [buildGroup(group.value.base, options)];
+
+        if (group.value.sub) {
+            children.push(buildGroup(group.value.sub, options));
+        }
+
+        if (group.value.sup) {
+            children.push(buildGroup(group.value.sup, options));
+        }
+
+        var nodeType;
+        if (!group.value.sub) {
+            nodeType = "msup";
+        } else if (!group.value.sup) {
+            nodeType = "msub";
+        } else {
+            nodeType = "msubsup";
+        }
+
+        var node = new mathMLTree.MathNode(nodeType, children);
+
+        return node;
+    },
+
+    genfrac: function(group, options) {
+        var node = new mathMLTree.MathNode(
+            "mfrac",
+            [buildGroup(group.value.numer, options),
+             buildGroup(group.value.denom, options)]);
+
+        if (!group.value.hasBarLine) {
+            node.setAttribute("linethickness", "0px");
+        }
+
+        if (group.value.leftDelim != null || group.value.rightDelim != null) {
+            var withDelims = [];
+
+            if (group.value.leftDelim != null) {
+                var leftOp = new mathMLTree.MathNode(
+                    "mo", [new mathMLTree.TextNode(group.value.leftDelim)]);
+
+                leftOp.setAttribute("fence", "true");
+
+                withDelims.push(leftOp);
+            }
+
+            withDelims.push(node);
+
+            if (group.value.rightDelim != null) {
+                var rightOp = new mathMLTree.MathNode(
+                    "mo", [new mathMLTree.TextNode(group.value.rightDelim)]);
+
+                rightOp.setAttribute("fence", "true");
+
+                withDelims.push(rightOp);
+            }
+
+            var outerNode = new mathMLTree.MathNode("mrow", withDelims);
+
+            return outerNode;
+        }
+
+        return node;
+    },
+
+    array: function(group, options) {
+        return new mathMLTree.MathNode(
+            "mtable", group.value.body.map(function(row) {
+                return new mathMLTree.MathNode(
+                    "mtr", row.map(function(cell) {
+                        return new mathMLTree.MathNode(
+                            "mtd", [buildGroup(cell, options)]);
+                    }));
+            }));
+    },
+
+    sqrt: function(group, options) {
+        var node;
+        if (group.value.index) {
+            node = new mathMLTree.MathNode(
+                "mroot", [
+                    buildGroup(group.value.body, options),
+                    buildGroup(group.value.index, options)
+                ]);
+        } else {
+            node = new mathMLTree.MathNode(
+                "msqrt", [buildGroup(group.value.body, options)]);
+        }
+
+        return node;
+    },
+
+    leftright: function(group, options) {
+        var inner = buildExpression(group.value.body, options);
+
+        if (group.value.left !== ".") {
+            var leftNode = new mathMLTree.MathNode(
+                "mo", [makeText(group.value.left, group.mode)]);
+
+            leftNode.setAttribute("fence", "true");
+
+            inner.unshift(leftNode);
+        }
+
+        if (group.value.right !== ".") {
+            var rightNode = new mathMLTree.MathNode(
+                "mo", [makeText(group.value.right, group.mode)]);
+
+            rightNode.setAttribute("fence", "true");
+
+            inner.push(rightNode);
+        }
+
+        var outerNode = new mathMLTree.MathNode("mrow", inner);
+
+        return outerNode;
+    },
+
+    accent: function(group, options) {
+        var accentNode = new mathMLTree.MathNode(
+            "mo", [makeText(group.value.accent, group.mode)]);
+
+        var node = new mathMLTree.MathNode(
+            "mover",
+            [buildGroup(group.value.base, options),
+             accentNode]);
+
+        node.setAttribute("accent", "true");
+
+        return node;
+    },
+
+    spacing: function(group) {
+        var node;
+
+        if (group.value === "\\ " || group.value === "\\space" ||
+            group.value === " " || group.value === "~") {
+            node = new mathMLTree.MathNode(
+                "mtext", [new mathMLTree.TextNode("\u00a0")]);
+        } else {
+            node = new mathMLTree.MathNode("mspace");
+
+            node.setAttribute(
+                "width", buildCommon.spacingFunctions[group.value].size);
+        }
+
+        return node;
+    },
+
+    op: function(group) {
+        var node;
+
+        // TODO(emily): handle big operators using the `largeop` attribute
+
+        if (group.value.symbol) {
+            // This is a symbol. Just add the symbol.
+            node = new mathMLTree.MathNode(
+                "mo", [makeText(group.value.body, group.mode)]);
+        } else {
+            // This is a text operator. Add all of the characters from the
+            // operator's name.
+            // TODO(emily): Add a space in the middle of some of these
+            // operators, like \limsup.
+            node = new mathMLTree.MathNode(
+                "mi", [new mathMLTree.TextNode(group.value.body.slice(1))]);
+        }
+
+        return node;
+    },
+
+    katex: function(group) {
+        var node = new mathMLTree.MathNode(
+            "mtext", [new mathMLTree.TextNode("KaTeX")]);
+
+        return node;
+    },
+
+    font: function(group, options) {
+        var font = group.value.font;
+        var node = buildGroup(group.value.body, options.withFont(font));
+        return node;
+    },
+
+    delimsizing: function(group) {
+        var children = [];
+
+        if (group.value.value !== ".") {
+            children.push(makeText(group.value.value, group.mode));
+        }
+
+        var node = new mathMLTree.MathNode("mo", children);
+
+        if (group.value.delimType === "open" ||
+            group.value.delimType === "close") {
+            // Only some of the delimsizing functions act as fences, and they
+            // return "open" or "close" delimTypes.
+            node.setAttribute("fence", "true");
+        } else {
+            // Explicitly disable fencing if it's not a fence, to override the
+            // defaults.
+            node.setAttribute("fence", "false");
+        }
+
+        return node;
+    },
+
+    styling: function(group, options) {
+        var inner = buildExpression(group.value.value, options);
+
+        var node = new mathMLTree.MathNode("mstyle", inner);
+
+        var styleAttributes = {
+            "display": ["0", "true"],
+            "text": ["0", "false"],
+            "script": ["1", "false"],
+            "scriptscript": ["2", "false"]
+        };
+
+        var attr = styleAttributes[group.value.style];
+
+        node.setAttribute("scriptlevel", attr[0]);
+        node.setAttribute("displaystyle", attr[1]);
+
+        return node;
+    },
+
+    sizing: function(group, options) {
+        var inner = buildExpression(group.value.value, options);
+
+        var node = new mathMLTree.MathNode("mstyle", inner);
+
+        // TODO(emily): This doesn't produce the correct size for nested size
+        // changes, because we don't keep state of what style we're currently
+        // in, so we can't reset the size to normal before changing it.  Now
+        // that we're passing an options parameter we should be able to fix
+        // this.
+        node.setAttribute(
+            "mathsize", buildCommon.sizingMultiplier[group.value.size] + "em");
+
+        return node;
+    },
+
+    overline: function(group, options) {
+        var operator = new mathMLTree.MathNode(
+            "mo", [new mathMLTree.TextNode("\u203e")]);
+        operator.setAttribute("stretchy", "true");
+
+        var node = new mathMLTree.MathNode(
+            "mover",
+            [buildGroup(group.value.body, options),
+             operator]);
+        node.setAttribute("accent", "true");
+
+        return node;
+    },
+
+    rule: function(group) {
+        // TODO(emily): Figure out if there's an actual way to draw black boxes
+        // in MathML.
+        var node = new mathMLTree.MathNode("mrow");
+
+        return node;
+    },
+
+    llap: function(group, options) {
+        var node = new mathMLTree.MathNode(
+            "mpadded", [buildGroup(group.value.body, options)]);
+
+        node.setAttribute("lspace", "-1width");
+        node.setAttribute("width", "0px");
+
+        return node;
+    },
+
+    rlap: function(group, options) {
+        var node = new mathMLTree.MathNode(
+            "mpadded", [buildGroup(group.value.body, options)]);
+
+        node.setAttribute("width", "0px");
+
+        return node;
+    },
+
+    phantom: function(group, options, prev) {
+        var inner = buildExpression(group.value.value, options);
+        return new mathMLTree.MathNode("mphantom", inner);
+    }
+};
+
+/**
+ * Takes a list of nodes, builds them, and returns a list of the generated
+ * MathML nodes. A little simpler than the HTML version because we don't do any
+ * previous-node handling.
+ */
+var buildExpression = function(expression, options) {
+    var groups = [];
+    for (var i = 0; i < expression.length; i++) {
+        var group = expression[i];
+        groups.push(buildGroup(group, options));
+    }
+    return groups;
+};
+
+/**
+ * Takes a group from the parser and calls the appropriate groupTypes function
+ * on it to produce a MathML node.
+ */
+var buildGroup = function(group, options) {
+    if (!group) {
+        return new mathMLTree.MathNode("mrow");
+    }
+
+    if (groupTypes[group.type]) {
+        // Call the groupTypes function
+        return groupTypes[group.type](group, options);
+    } else {
+        throw new ParseError(
+            "Got group of unknown type: '" + group.type + "'");
+    }
+};
+
+/**
+ * Takes a full parse tree and settings and builds a MathML representation of
+ * it. In particular, we put the elements from building the parse tree into a
+ * <semantics> tag so we can also include that TeX source as an annotation.
+ *
+ * Note that we actually return a domTree element with a `<math>` inside it so
+ * we can do appropriate styling.
+ */
+var buildMathML = function(tree, texExpression, settings) {
+    settings = settings || new Settings({});
+
+    var startStyle = Style.TEXT;
+    if (settings.displayMode) {
+        startStyle = Style.DISPLAY;
+    }
+
+    // Setup the default options
+    var options = new Options({
+        style: startStyle,
+        size: "size5"
+    });
+
+    var expression = buildExpression(tree, options);
+
+    // Wrap up the expression in an mrow so it is presented in the semantics
+    // tag correctly.
+    var wrapper = new mathMLTree.MathNode("mrow", expression);
+
+    // Build a TeX annotation of the source
+    var annotation = new mathMLTree.MathNode(
+        "annotation", [new mathMLTree.TextNode(texExpression)]);
+
+    annotation.setAttribute("encoding", "application/x-tex");
+
+    var semantics = new mathMLTree.MathNode(
+        "semantics", [wrapper, annotation]);
+
+    var math = new mathMLTree.MathNode("math", [semantics]);
+
+    // You can't style <math> nodes, so we wrap the node in a span.
+    return makeSpan(["katex-mathml"], [math]);
+};
+
+module.exports = buildMathML;
+
+},{"../src/Settings":7,"./Options":4,"./ParseError":5,"./Style":8,"./buildCommon":9,"./fontMetrics":16,"./mathMLTree":18,"./symbols":21,"./utils":22}],12:[function(require,module,exports){
+
+var buildHTML = require("./buildHTML");
+var buildMathML = require("./buildMathML");
+var buildCommon = require("./buildCommon");
+
+var makeSpan = buildCommon.makeSpan;
+
+var buildTree = function(tree, expression, settings) {
+    // `buildHTML` sometimes messes with the parse tree (like turning bins ->
+    // ords), so we build the MathML version first.
+    var mathMLNode = buildMathML(tree, expression, settings);
+    var htmlNode = buildHTML(tree, settings);
+
+    var katexNode = makeSpan(["katex"], [
+        mathMLNode, htmlNode
+    ]);
+
+    if (settings.displayMode) {
+        return makeSpan(["katex-display"], [katexNode]);
+    } else {
+        return katexNode;
+    }
+};
+
+module.exports = buildTree;
+
+},{"./buildCommon":9,"./buildHTML":10,"./buildMathML":11}],13:[function(require,module,exports){
+/**
+ * This file deals with creating delimiters of various sizes. The TeXbook
+ * discusses these routines on page 441-442, in the "Another subroutine sets box
+ * x to a specified variable delimiter" paragraph.
+ *
+ * There are three main routines here. `makeSmallDelim` makes a delimiter in the
+ * normal font, but in either text, script, or scriptscript style.
+ * `makeLargeDelim` makes a delimiter in textstyle, but in one of the Size1,
+ * Size2, Size3, or Size4 fonts. `makeStackedDelim` makes a delimiter out of
+ * smaller pieces that are stacked on top of one another.
+ *
+ * The functions take a parameter `center`, which determines if the delimiter
+ * should be centered around the axis.
+ *
+ * Then, there are three exposed functions. `sizedDelim` makes a delimiter in
+ * one of the given sizes. This is used for things like `\bigl`.
+ * `customSizedDelim` makes a delimiter with a given total height+depth. It is
+ * called in places like `\sqrt`. `leftRightDelim` makes an appropriate
+ * delimiter which surrounds an expression of a given height an depth. It is
+ * used in `\left` and `\right`.
+ */
+
+var ParseError = require("./ParseError");
+var Style = require("./Style");
+
+var buildCommon = require("./buildCommon");
+var fontMetrics = require("./fontMetrics");
+var symbols = require("./symbols");
+var utils = require("./utils");
+
+var makeSpan = buildCommon.makeSpan;
+
+/**
+ * Get the metrics for a given symbol and font, after transformation (i.e.
+ * after following replacement from symbols.js)
+ */
+var getMetrics = function(symbol, font) {
+    if (symbols.math[symbol] && symbols.math[symbol].replace) {
+        return fontMetrics.getCharacterMetrics(
+            symbols.math[symbol].replace, font);
+    } else {
+        return fontMetrics.getCharacterMetrics(
+            symbol, font);
+    }
+};
+
+/**
+ * Builds a symbol in the given font size (note size is an integer)
+ */
+var mathrmSize = function(value, size, mode) {
+    return buildCommon.makeSymbol(value, "Size" + size + "-Regular", mode);
+};
+
+/**
+ * Puts a delimiter span in a given style, and adds appropriate height, depth,
+ * and maxFontSizes.
+ */
+var styleWrap = function(delim, toStyle, options) {
+    var span = makeSpan(
+        ["style-wrap", options.style.reset(), toStyle.cls()], [delim]);
+
+    var multiplier = toStyle.sizeMultiplier / options.style.sizeMultiplier;
+
+    span.height *= multiplier;
+    span.depth *= multiplier;
+    span.maxFontSize = toStyle.sizeMultiplier;
+
+    return span;
+};
+
+/**
+ * Makes a small delimiter. This is a delimiter that comes in the Main-Regular
+ * font, but is restyled to either be in textstyle, scriptstyle, or
+ * scriptscriptstyle.
+ */
+var makeSmallDelim = function(delim, style, center, options, mode) {
+    var text = buildCommon.makeSymbol(delim, "Main-Regular", mode);
+
+    var span = styleWrap(text, style, options);
+
+    if (center) {
+        var shift =
+            (1 - options.style.sizeMultiplier / style.sizeMultiplier) *
+            fontMetrics.metrics.axisHeight;
+
+        span.style.top = shift + "em";
+        span.height -= shift;
+        span.depth += shift;
+    }
+
+    return span;
+};
+
+/**
+ * Makes a large delimiter. This is a delimiter that comes in the Size1, Size2,
+ * Size3, or Size4 fonts. It is always rendered in textstyle.
+ */
+var makeLargeDelim = function(delim, size, center, options, mode) {
+    var inner = mathrmSize(delim, size, mode);
+
+    var span = styleWrap(
+        makeSpan(["delimsizing", "size" + size],
+                 [inner], options.getColor()),
+        Style.TEXT, options);
+
+    if (center) {
+        var shift = (1 - options.style.sizeMultiplier) *
+            fontMetrics.metrics.axisHeight;
+
+        span.style.top = shift + "em";
+        span.height -= shift;
+        span.depth += shift;
+    }
+
+    return span;
+};
+
+/**
+ * Make an inner span with the given offset and in the given font. This is used
+ * in `makeStackedDelim` to make the stacking pieces for the delimiter.
+ */
+var makeInner = function(symbol, font, mode) {
+    var sizeClass;
+    // Apply the correct CSS class to choose the right font.
+    if (font === "Size1-Regular") {
+        sizeClass = "delim-size1";
+    } else if (font === "Size4-Regular") {
+        sizeClass = "delim-size4";
+    }
+
+    var inner = makeSpan(
+        ["delimsizinginner", sizeClass],
+        [makeSpan([], [buildCommon.makeSymbol(symbol, font, mode)])]);
+
+    // Since this will be passed into `makeVList` in the end, wrap the element
+    // in the appropriate tag that VList uses.
+    return {type: "elem", elem: inner};
+};
+
+/**
+ * Make a stacked delimiter out of a given delimiter, with the total height at
+ * least `heightTotal`. This routine is mentioned on page 442 of the TeXbook.
+ */
+var makeStackedDelim = function(delim, heightTotal, center, options, mode) {
+    // There are four parts, the top, an optional middle, a repeated part, and a
+    // bottom.
+    var top, middle, repeat, bottom;
+    top = repeat = bottom = delim;
+    middle = null;
+    // Also keep track of what font the delimiters are in
+    var font = "Size1-Regular";
+
+    // We set the parts and font based on the symbol. Note that we use
+    // '\u23d0' instead of '|' and '\u2016' instead of '\\|' for the
+    // repeats of the arrows
+    if (delim === "\\uparrow") {
+        repeat = bottom = "\u23d0";
+    } else if (delim === "\\Uparrow") {
+        repeat = bottom = "\u2016";
+    } else if (delim === "\\downarrow") {
+        top = repeat = "\u23d0";
+    } else if (delim === "\\Downarrow") {
+        top = repeat = "\u2016";
+    } else if (delim === "\\updownarrow") {
+        top = "\\uparrow";
+        repeat = "\u23d0";
+        bottom = "\\downarrow";
+    } else if (delim === "\\Updownarrow") {
+        top = "\\Uparrow";
+        repeat = "\u2016";
+        bottom = "\\Downarrow";
+    } else if (delim === "[" || delim === "\\lbrack") {
+        top = "\u23a1";
+        repeat = "\u23a2";
+        bottom = "\u23a3";
+        font = "Size4-Regular";
+    } else if (delim === "]" || delim === "\\rbrack") {
+        top = "\u23a4";
+        repeat = "\u23a5";
+        bottom = "\u23a6";
+        font = "Size4-Regular";
+    } else if (delim === "\\lfloor") {
+        repeat = top = "\u23a2";
+        bottom = "\u23a3";
+        font = "Size4-Regular";
+    } else if (delim === "\\lceil") {
+        top = "\u23a1";
+        repeat = bottom = "\u23a2";
+        font = "Size4-Regular";
+    } else if (delim === "\\rfloor") {
+        repeat = top = "\u23a5";
+        bottom = "\u23a6";
+        font = "Size4-Regular";
+    } else if (delim === "\\rceil") {
+        top = "\u23a4";
+        repeat = bottom = "\u23a5";
+        font = "Size4-Regular";
+    } else if (delim === "(") {
+        top = "\u239b";
+        repeat = "\u239c";
+        bottom = "\u239d";
+        font = "Size4-Regular";
+    } else if (delim === ")") {
+        top = "\u239e";
+        repeat = "\u239f";
+        bottom = "\u23a0";
+        font = "Size4-Regular";
+    } else if (delim === "\\{" || delim === "\\lbrace") {
+        top = "\u23a7";
+        middle = "\u23a8";
+        bottom = "\u23a9";
+        repeat = "\u23aa";
+        font = "Size4-Regular";
+    } else if (delim === "\\}" || delim === "\\rbrace") {
+        top = "\u23ab";
+        middle = "\u23ac";
+        bottom = "\u23ad";
+        repeat = "\u23aa";
+        font = "Size4-Regular";
+    } else if (delim === "\\surd") {
+        top = "\ue001";
+        bottom = "\u23b7";
+        repeat = "\ue000";
+        font = "Size4-Regular";
+    }
+
+    // Get the metrics of the four sections
+    var topMetrics = getMetrics(top, font);
+    var topHeightTotal = topMetrics.height + topMetrics.depth;
+    var repeatMetrics = getMetrics(repeat, font);
+    var repeatHeightTotal = repeatMetrics.height + repeatMetrics.depth;
+    var bottomMetrics = getMetrics(bottom, font);
+    var bottomHeightTotal = bottomMetrics.height + bottomMetrics.depth;
+    var middleHeightTotal = 0;
+    var middleFactor = 1;
+    if (middle !== null) {
+        var middleMetrics = getMetrics(middle, font);
+        middleHeightTotal = middleMetrics.height + middleMetrics.depth;
+        middleFactor = 2; // repeat symmetrically above and below middle
+    }
+
+    // Calcuate the minimal height that the delimiter can have.
+    // It is at least the size of the top, bottom, and optional middle combined.
+    var minHeight = topHeightTotal + bottomHeightTotal + middleHeightTotal;
+
+    // Compute the number of copies of the repeat symbol we will need
+    var repeatCount = Math.ceil(
+        (heightTotal - minHeight) / (middleFactor * repeatHeightTotal));
+
+    // Compute the total height of the delimiter including all the symbols
+    var realHeightTotal =
+        minHeight + repeatCount * middleFactor * repeatHeightTotal;
+
+    // The center of the delimiter is placed at the center of the axis. Note
+    // that in this context, "center" means that the delimiter should be
+    // centered around the axis in the current style, while normally it is
+    // centered around the axis in textstyle.
+    var axisHeight = fontMetrics.metrics.axisHeight;
+    if (center) {
+        axisHeight *= options.style.sizeMultiplier;
+    }
+    // Calculate the depth
+    var depth = realHeightTotal / 2 - axisHeight;
+
+    // Now, we start building the pieces that will go into the vlist
+
+    // Keep a list of the inner pieces
+    var inners = [];
+
+    // Add the bottom symbol
+    inners.push(makeInner(bottom, font, mode));
+
+    var i;
+    if (middle === null) {
+        // Add that many symbols
+        for (i = 0; i < repeatCount; i++) {
+            inners.push(makeInner(repeat, font, mode));
+        }
+    } else {
+        // When there is a middle bit, we need the middle part and two repeated
+        // sections
+        for (i = 0; i < repeatCount; i++) {
+            inners.push(makeInner(repeat, font, mode));
+        }
+        inners.push(makeInner(middle, font, mode));
+        for (i = 0; i < repeatCount; i++) {
+            inners.push(makeInner(repeat, font, mode));
+        }
+    }
+
+    // Add the top symbol
+    inners.push(makeInner(top, font, mode));
+
+    // Finally, build the vlist
+    var inner = buildCommon.makeVList(inners, "bottom", depth, options);
+
+    return styleWrap(
+        makeSpan(["delimsizing", "mult"], [inner], options.getColor()),
+        Style.TEXT, options);
+};
+
+// There are three kinds of delimiters, delimiters that stack when they become
+// too large
+var stackLargeDelimiters = [
+    "(", ")", "[", "\\lbrack", "]", "\\rbrack",
+    "\\{", "\\lbrace", "\\}", "\\rbrace",
+    "\\lfloor", "\\rfloor", "\\lceil", "\\rceil",
+    "\\surd"
+];
+
+// delimiters that always stack
+var stackAlwaysDelimiters = [
+    "\\uparrow", "\\downarrow", "\\updownarrow",
+    "\\Uparrow", "\\Downarrow", "\\Updownarrow",
+    "|", "\\|", "\\vert", "\\Vert"
+];
+
+// and delimiters that never stack
+var stackNeverDelimiters = [
+    "<", ">", "\\langle", "\\rangle", "/", "\\backslash"
+];
+
+// Metrics of the different sizes. Found by looking at TeX's output of
+// $\bigl| // \Bigl| \biggl| \Biggl| \showlists$
+// Used to create stacked delimiters of appropriate sizes in makeSizedDelim.
+var sizeToMaxHeight = [0, 1.2, 1.8, 2.4, 3.0];
+
+/**
+ * Used to create a delimiter of a specific size, where `size` is 1, 2, 3, or 4.
+ */
+var makeSizedDelim = function(delim, size, options, mode) {
+    // < and > turn into \langle and \rangle in delimiters
+    if (delim === "<") {
+        delim = "\\langle";
+    } else if (delim === ">") {
+        delim = "\\rangle";
+    }
+
+    // Sized delimiters are never centered.
+    if (utils.contains(stackLargeDelimiters, delim) ||
+        utils.contains(stackNeverDelimiters, delim)) {
+        return makeLargeDelim(delim, size, false, options, mode);
+    } else if (utils.contains(stackAlwaysDelimiters, delim)) {
+        return makeStackedDelim(
+            delim, sizeToMaxHeight[size], false, options, mode);
+    } else {
+        throw new ParseError("Illegal delimiter: '" + delim + "'");
+    }
+};
+
+/**
+ * There are three different sequences of delimiter sizes that the delimiters
+ * follow depending on the kind of delimiter. This is used when creating custom
+ * sized delimiters to decide whether to create a small, large, or stacked
+ * delimiter.
+ *
+ * In real TeX, these sequences aren't explicitly defined, but are instead
+ * defined inside the font metrics. Since there are only three sequences that
+ * are possible for the delimiters that TeX defines, it is easier to just encode
+ * them explicitly here.
+ */
+
+// Delimiters that never stack try small delimiters and large delimiters only
+var stackNeverDelimiterSequence = [
+    {type: "small", style: Style.SCRIPTSCRIPT},
+    {type: "small", style: Style.SCRIPT},
+    {type: "small", style: Style.TEXT},
+    {type: "large", size: 1},
+    {type: "large", size: 2},
+    {type: "large", size: 3},
+    {type: "large", size: 4}
+];
+
+// Delimiters that always stack try the small delimiters first, then stack
+var stackAlwaysDelimiterSequence = [
+    {type: "small", style: Style.SCRIPTSCRIPT},
+    {type: "small", style: Style.SCRIPT},
+    {type: "small", style: Style.TEXT},
+    {type: "stack"}
+];
+
+// Delimiters that stack when large try the small and then large delimiters, and
+// stack afterwards
+var stackLargeDelimiterSequence = [
+    {type: "small", style: Style.SCRIPTSCRIPT},
+    {type: "small", style: Style.SCRIPT},
+    {type: "small", style: Style.TEXT},
+    {type: "large", size: 1},
+    {type: "large", size: 2},
+    {type: "large", size: 3},
+    {type: "large", size: 4},
+    {type: "stack"}
+];
+
+/**
+ * Get the font used in a delimiter based on what kind of delimiter it is.
+ */
+var delimTypeToFont = function(type) {
+    if (type.type === "small") {
+        return "Main-Regular";
+    } else if (type.type === "large") {
+        return "Size" + type.size + "-Regular";
+    } else if (type.type === "stack") {
+        return "Size4-Regular";
+    }
+};
+
+/**
+ * Traverse a sequence of types of delimiters to decide what kind of delimiter
+ * should be used to create a delimiter of the given height+depth.
+ */
+var traverseSequence = function(delim, height, sequence, options) {
+    // Here, we choose the index we should start at in the sequences. In smaller
+    // sizes (which correspond to larger numbers in style.size) we start earlier
+    // in the sequence. Thus, scriptscript starts at index 3-3=0, script starts
+    // at index 3-2=1, text starts at 3-1=2, and display starts at min(2,3-0)=2
+    var start = Math.min(2, 3 - options.style.size);
+    for (var i = start; i < sequence.length; i++) {
+        if (sequence[i].type === "stack") {
+            // This is always the last delimiter, so we just break the loop now.
+            break;
+        }
+
+        var metrics = getMetrics(delim, delimTypeToFont(sequence[i]));
+        var heightDepth = metrics.height + metrics.depth;
+
+        // Small delimiters are scaled down versions of the same font, so we
+        // account for the style change size.
+
+        if (sequence[i].type === "small") {
+            heightDepth *= sequence[i].style.sizeMultiplier;
+        }
+
+        // Check if the delimiter at this size works for the given height.
+        if (heightDepth > height) {
+            return sequence[i];
+        }
+    }
+
+    // If we reached the end of the sequence, return the last sequence element.
+    return sequence[sequence.length - 1];
+};
+
+/**
+ * Make a delimiter of a given height+depth, with optional centering. Here, we
+ * traverse the sequences, and create a delimiter that the sequence tells us to.
+ */
+var makeCustomSizedDelim = function(delim, height, center, options, mode) {
+    if (delim === "<") {
+        delim = "\\langle";
+    } else if (delim === ">") {
+        delim = "\\rangle";
+    }
+
+    // Decide what sequence to use
+    var sequence;
+    if (utils.contains(stackNeverDelimiters, delim)) {
+        sequence = stackNeverDelimiterSequence;
+    } else if (utils.contains(stackLargeDelimiters, delim)) {
+        sequence = stackLargeDelimiterSequence;
+    } else {
+        sequence = stackAlwaysDelimiterSequence;
+    }
+
+    // Look through the sequence
+    var delimType = traverseSequence(delim, height, sequence, options);
+
+    // Depending on the sequence element we decided on, call the appropriate
+    // function.
+    if (delimType.type === "small") {
+        return makeSmallDelim(delim, delimType.style, center, options, mode);
+    } else if (delimType.type === "large") {
+        return makeLargeDelim(delim, delimType.size, center, options, mode);
+    } else if (delimType.type === "stack") {
+        return makeStackedDelim(delim, height, center, options, mode);
+    }
+};
+
+/**
+ * Make a delimiter for use with `\left` and `\right`, given a height and depth
+ * of an expression that the delimiters surround.
+ */
+var makeLeftRightDelim = function(delim, height, depth, options, mode) {
+    // We always center \left/\right delimiters, so the axis is always shifted
+    var axisHeight =
+        fontMetrics.metrics.axisHeight * options.style.sizeMultiplier;
+
+    // Taken from TeX source, tex.web, function make_left_right
+    var delimiterFactor = 901;
+    var delimiterExtend = 5.0 / fontMetrics.metrics.ptPerEm;
+
+    var maxDistFromAxis = Math.max(
+        height - axisHeight, depth + axisHeight);
+
+    var totalHeight = Math.max(
+        // In real TeX, calculations are done using integral values which are
+        // 65536 per pt, or 655360 per em. So, the division here truncates in
+        // TeX but doesn't here, producing different results. If we wanted to
+        // exactly match TeX's calculation, we could do
+        //   Math.floor(655360 * maxDistFromAxis / 500) *
+        //    delimiterFactor / 655360
+        // (To see the difference, compare
+        //    x^{x^{\left(\rule{0.1em}{0.68em}\right)}}
+        // in TeX and KaTeX)
+        maxDistFromAxis / 500 * delimiterFactor,
+        2 * maxDistFromAxis - delimiterExtend);
+
+    // Finally, we defer to `makeCustomSizedDelim` with our calculated total
+    // height
+    return makeCustomSizedDelim(delim, totalHeight, true, options, mode);
+};
+
+module.exports = {
+    sizedDelim: makeSizedDelim,
+    customSizedDelim: makeCustomSizedDelim,
+    leftRightDelim: makeLeftRightDelim
+};
+
+},{"./ParseError":5,"./Style":8,"./buildCommon":9,"./fontMetrics":16,"./symbols":21,"./utils":22}],14:[function(require,module,exports){
+/**
+ * These objects store the data about the DOM nodes we create, as well as some
+ * extra data. They can then be transformed into real DOM nodes with the
+ * `toNode` function or HTML markup using `toMarkup`. They are useful for both
+ * storing extra properties on the nodes, as well as providing a way to easily
+ * work with the DOM.
+ *
+ * Similar functions for working with MathML nodes exist in mathMLTree.js.
+ */
+
+var utils = require("./utils");
+
+/**
+ * Create an HTML className based on a list of classes. In addition to joining
+ * with spaces, we also remove null or empty classes.
+ */
+var createClass = function(classes) {
+    classes = classes.slice();
+    for (var i = classes.length - 1; i >= 0; i--) {
+        if (!classes[i]) {
+            classes.splice(i, 1);
+        }
+    }
+
+    return classes.join(" ");
+};
+
+/**
+ * This node represents a span node, with a className, a list of children, and
+ * an inline style. It also contains information about its height, depth, and
+ * maxFontSize.
+ */
+function span(classes, children, height, depth, maxFontSize, style) {
+    this.classes = classes || [];
+    this.children = children || [];
+    this.height = height || 0;
+    this.depth = depth || 0;
+    this.maxFontSize = maxFontSize || 0;
+    this.style = style || {};
+    this.attributes = {};
+}
+
+/**
+ * Sets an arbitrary attribute on the span. Warning: use this wisely. Not all
+ * browsers support attributes the same, and having too many custom attributes
+ * is probably bad.
+ */
+span.prototype.setAttribute = function(attribute, value) {
+    this.attributes[attribute] = value;
+};
+
+/**
+ * Convert the span into an HTML node
+ */
+span.prototype.toNode = function() {
+    var span = document.createElement("span");
+
+    // Apply the class
+    span.className = createClass(this.classes);
+
+    // Apply inline styles
+    for (var style in this.style) {
+        if (Object.prototype.hasOwnProperty.call(this.style, style)) {
+            span.style[style] = this.style[style];
+        }
+    }
+
+    // Apply attributes
+    for (var attr in this.attributes) {
+        if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+            span.setAttribute(attr, this.attributes[attr]);
+        }
+    }
+
+    // Append the children, also as HTML nodes
+    for (var i = 0; i < this.children.length; i++) {
+        span.appendChild(this.children[i].toNode());
+    }
+
+    return span;
+};
+
+/**
+ * Convert the span into an HTML markup string
+ */
+span.prototype.toMarkup = function() {
+    var markup = "<span";
+
+    // Add the class
+    if (this.classes.length) {
+        markup += " class=\"";
+        markup += utils.escape(createClass(this.classes));
+        markup += "\"";
+    }
+
+    var styles = "";
+
+    // Add the styles, after hyphenation
+    for (var style in this.style) {
+        if (this.style.hasOwnProperty(style)) {
+            styles += utils.hyphenate(style) + ":" + this.style[style] + ";";
+        }
+    }
+
+    if (styles) {
+        markup += " style=\"" + utils.escape(styles) + "\"";
+    }
+
+    // Add the attributes
+    for (var attr in this.attributes) {
+        if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+            markup += " " + attr + "=\"";
+            markup += utils.escape(this.attributes[attr]);
+            markup += "\"";
+        }
+    }
+
+    markup += ">";
+
+    // Add the markup of the children, also as markup
+    for (var i = 0; i < this.children.length; i++) {
+        markup += this.children[i].toMarkup();
+    }
+
+    markup += "</span>";
+
+    return markup;
+};
+
+/**
+ * This node represents a document fragment, which contains elements, but when
+ * placed into the DOM doesn't have any representation itself. Thus, it only
+ * contains children and doesn't have any HTML properties. It also keeps track
+ * of a height, depth, and maxFontSize.
+ */
+function documentFragment(children, height, depth, maxFontSize) {
+    this.children = children || [];
+    this.height = height || 0;
+    this.depth = depth || 0;
+    this.maxFontSize = maxFontSize || 0;
+}
+
+/**
+ * Convert the fragment into a node
+ */
+documentFragment.prototype.toNode = function() {
+    // Create a fragment
+    var frag = document.createDocumentFragment();
+
+    // Append the children
+    for (var i = 0; i < this.children.length; i++) {
+        frag.appendChild(this.children[i].toNode());
+    }
+
+    return frag;
+};
+
+/**
+ * Convert the fragment into HTML markup
+ */
+documentFragment.prototype.toMarkup = function() {
+    var markup = "";
+
+    // Simply concatenate the markup for the children together
+    for (var i = 0; i < this.children.length; i++) {
+        markup += this.children[i].toMarkup();
+    }
+
+    return markup;
+};
+
+/**
+ * A symbol node contains information about a single symbol. It either renders
+ * to a single text node, or a span with a single text node in it, depending on
+ * whether it has CSS classes, styles, or needs italic correction.
+ */
+function symbolNode(value, height, depth, italic, skew, classes, style) {
+    this.value = value || "";
+    this.height = height || 0;
+    this.depth = depth || 0;
+    this.italic = italic || 0;
+    this.skew = skew || 0;
+    this.classes = classes || [];
+    this.style = style || {};
+    this.maxFontSize = 0;
+}
+
+/**
+ * Creates a text node or span from a symbol node. Note that a span is only
+ * created if it is needed.
+ */
+symbolNode.prototype.toNode = function() {
+    var node = document.createTextNode(this.value);
+    var span = null;
+
+    if (this.italic > 0) {
+        span = document.createElement("span");
+        span.style.marginRight = this.italic + "em";
+    }
+
+    if (this.classes.length > 0) {
+        span = span || document.createElement("span");
+        span.className = createClass(this.classes);
+    }
+
+    for (var style in this.style) {
+        if (this.style.hasOwnProperty(style)) {
+            span = span || document.createElement("span");
+            span.style[style] = this.style[style];
+        }
+    }
+
+    if (span) {
+        span.appendChild(node);
+        return span;
+    } else {
+        return node;
+    }
+};
+
+/**
+ * Creates markup for a symbol node.
+ */
+symbolNode.prototype.toMarkup = function() {
+    // TODO(alpert): More duplication than I'd like from
+    // span.prototype.toMarkup and symbolNode.prototype.toNode...
+    var needsSpan = false;
+
+    var markup = "<span";
+
+    if (this.classes.length) {
+        needsSpan = true;
+        markup += " class=\"";
+        markup += utils.escape(createClass(this.classes));
+        markup += "\"";
+    }
+
+    var styles = "";
+
+    if (this.italic > 0) {
+        styles += "margin-right:" + this.italic + "em;";
+    }
+    for (var style in this.style) {
+        if (this.style.hasOwnProperty(style)) {
+            styles += utils.hyphenate(style) + ":" + this.style[style] + ";";
+        }
+    }
+
+    if (styles) {
+        needsSpan = true;
+        markup += " style=\"" + utils.escape(styles) + "\"";
+    }
+
+    var escaped = utils.escape(this.value);
+    if (needsSpan) {
+        markup += ">";
+        markup += escaped;
+        markup += "</span>";
+        return markup;
+    } else {
+        return escaped;
+    }
+};
+
+module.exports = {
+    span: span,
+    documentFragment: documentFragment,
+    symbolNode: symbolNode
+};
+
+},{"./utils":22}],15:[function(require,module,exports){
+var fontMetrics = require("./fontMetrics");
+var parseData = require("./parseData");
+var ParseError = require("./ParseError");
+
+var ParseNode = parseData.ParseNode;
+var ParseResult = parseData.ParseResult;
+
+/**
+ * Parse the body of the environment, with rows delimited by \\ and
+ * columns delimited by &, and create a nested list in row-major order
+ * with one group per cell.
+ */
+function parseArray(parser, pos, mode, result) {
+    var row = [], body = [row], rowGaps = [];
+    while (true) {
+        var cell = parser.parseExpression(pos, mode, false, null);
+        row.push(new ParseNode("ordgroup", cell.result, mode));
+        pos = cell.position;
+        var next = cell.peek.text;
+        if (next === "&") {
+            pos = cell.peek.position;
+        } else if (next === "\\end") {
+            break;
+        } else if (next === "\\\\" || next === "\\cr") {
+            var cr = parser.parseFunction(pos, mode);
+            rowGaps.push(cr.result.value.size);
+            pos = cr.position;
+            row = [];
+            body.push(row);
+        } else {
+            throw new ParseError("Expected & or \\\\ or \\end",
+                                 parser.lexer, cell.peek.position);
+        }
+    }
+    result.body = body;
+    result.rowGaps = rowGaps;
+    return new ParseResult(new ParseNode(result.type, result, mode), pos);
+}
+
+/*
+ * An environment definition is very similar to a function definition.
+ * Each element of the following array may contain
+ *  - names: The names associated with a function. This can be used to
+ *           share one implementation between several similar environments.
+ *  - numArgs: The number of arguments after the \begin{name} function.
+ *  - argTypes: (optional) Just like for a function
+ *  - allowedInText: (optional) Whether or not the environment is allowed inside
+ *                   text mode (default false) (not enforced yet)
+ *  - numOptionalArgs: (optional) Just like for a function
+ *  - handler: The function that is called to handle this environment.
+ *             It will receive the following arguments:
+ *             - pos: the current position of the parser.
+ *             - mode: the current parsing mode.
+ *             - envName: the name of the environment, one of the listed names.
+ *             - [args]: the arguments passed to \begin.
+ *             - positions: the positions associated with these arguments.
+ */
+
+var environmentDefinitions = [
+
+    // Arrays are part of LaTeX, defined in lttab.dtx so its documentation
+    // is part of the source2e.pdf file of LaTeX2e source documentation.
+    {
+        names: ["array"],
+        numArgs: 1,
+        handler: function(pos, mode, envName, colalign, positions) {
+            var parser = this;
+            // Currently only supports alignment, no separators like | yet.
+            colalign = colalign.value.map ? colalign.value : [colalign];
+            var cols = colalign.map(function(node) {
+                var ca = node.value;
+                if ("lcr".indexOf(ca) !== -1) {
+                    return {
+                        align: ca
+                    };
+                }
+                throw new ParseError(
+                    "Unknown column alignment: " + node.value,
+                    parser.lexer, positions[1]);
+            });
+            var res = {
+                type: "array",
+                cols: cols,
+                hskipBeforeAndAfter: true // \@preamble in lttab.dtx
+            };
+            res = parseArray(parser, pos, mode, res);
+            return res;
+        }
+    },
+
+    // The matrix environments of amsmath builds on the array environment
+    // of LaTeX, which is discussed above.
+    {
+        names: [
+            "matrix",
+            "pmatrix",
+            "bmatrix",
+            "Bmatrix",
+            "vmatrix",
+            "Vmatrix"
+        ],
+        handler: function(pos, mode, envName) {
+            var delimiters = {
+                "matrix": null,
+                "pmatrix": ["(", ")"],
+                "bmatrix": ["[", "]"],
+                "Bmatrix": ["\\{", "\\}"],
+                "vmatrix": ["|", "|"],
+                "Vmatrix": ["\\Vert", "\\Vert"]
+            }[envName];
+            var res = {
+                type: "array",
+                hskipBeforeAndAfter: false // \hskip -\arraycolsep in amsmath
+            };
+            res = parseArray(this, pos, mode, res);
+            if (delimiters) {
+                res.result = new ParseNode("leftright", {
+                    body: [res.result],
+                    left: delimiters[0],
+                    right: delimiters[1]
+                }, mode);
+            }
+            return res;
+        }
+    },
+
+    // A cases environment (in amsmath.sty) is almost equivalent to
+    // \def\arraystretch{1.2}%
+    // \left\{\begin{array}{@{}l@{\quad}l@{}} … \end{array}\right.
+    {
+        names: ["cases"],
+        handler: function(pos, mode, envName) {
+            var res = {
+                type: "array",
+                arraystretch: 1.2,
+                cols: [{
+                    align: "l",
+                    pregap: 0,
+                    postgap: fontMetrics.metrics.quad
+                }, {
+                    align: "l",
+                    pregap: 0,
+                    postgap: 0
+                }]
+            };
+            res = parseArray(this, pos, mode, res);
+            res.result = new ParseNode("leftright", {
+                body: [res.result],
+                left: "\\{",
+                right: "."
+            }, mode);
+            return res;
+        }
+    }
+];
+
+module.exports = (function() {
+    // nested function so we don't leak i and j into the module scope
+    var exports = {};
+    for (var i = 0; i < environmentDefinitions.length; ++i) {
+        var def = environmentDefinitions[i];
+        def.greediness = 1;
+        def.allowedInText = !!def.allowedInText;
+        def.numArgs = def.numArgs || 0;
+        def.numOptionalArgs = def.numOptionalArgs || 0;
+        for (var j = 0; j < def.names.length; ++j) {
+            exports[def.names[j]] = def;
+        }
+    }
+    return exports;
+})();
+
+},{"./ParseError":5,"./fontMetrics":16,"./parseData":19}],16:[function(require,module,exports){
+/* jshint unused:false */
+
+var Style = require("./Style");
+
+/**
+ * This file contains metrics regarding fonts and individual symbols. The sigma
+ * and xi variables, as well as the metricMap map contain data extracted from
+ * TeX, TeX font metrics, and the TTF files. These data are then exposed via the
+ * `metrics` variable and the getCharacterMetrics function.
+ */
+
+// These font metrics are extracted from TeX by using
+// \font\a=cmmi10
+// \showthe\fontdimenX\a
+// where X is the corresponding variable number. These correspond to the font
+// parameters of the symbol fonts. In TeX, there are actually three sets of
+// dimensions, one for each of textstyle, scriptstyle, and scriptscriptstyle,
+// but we only use the textstyle ones, and scale certain dimensions accordingly.
+// See the TeXbook, page 441.
+var sigma1 = 0.025;
+var sigma2 = 0;
+var sigma3 = 0;
+var sigma4 = 0;
+var sigma5 = 0.431;
+var sigma6 = 1;
+var sigma7 = 0;
+var sigma8 = 0.677;
+var sigma9 = 0.394;
+var sigma10 = 0.444;
+var sigma11 = 0.686;
+var sigma12 = 0.345;
+var sigma13 = 0.413;
+var sigma14 = 0.363;
+var sigma15 = 0.289;
+var sigma16 = 0.150;
+var sigma17 = 0.247;
+var sigma18 = 0.386;
+var sigma19 = 0.050;
+var sigma20 = 2.390;
+var sigma21 = 1.01;
+var sigma21Script = 0.81;
+var sigma21ScriptScript = 0.71;
+var sigma22 = 0.250;
+
+// These font metrics are extracted from TeX by using
+// \font\a=cmex10
+// \showthe\fontdimenX\a
+// where X is the corresponding variable number. These correspond to the font
+// parameters of the extension fonts (family 3). See the TeXbook, page 441.
+var xi1 = 0;
+var xi2 = 0;
+var xi3 = 0;
+var xi4 = 0;
+var xi5 = 0.431;
+var xi6 = 1;
+var xi7 = 0;
+var xi8 = 0.04;
+var xi9 = 0.111;
+var xi10 = 0.166;
+var xi11 = 0.2;
+var xi12 = 0.6;
+var xi13 = 0.1;
+
+// This value determines how large a pt is, for metrics which are defined in
+// terms of pts.
+// This value is also used in katex.less; if you change it make sure the values
+// match.
+var ptPerEm = 10.0;
+
+/**
+ * This is just a mapping from common names to real metrics
+ */
+var metrics = {
+    xHeight: sigma5,
+    quad: sigma6,
+    num1: sigma8,
+    num2: sigma9,
+    num3: sigma10,
+    denom1: sigma11,
+    denom2: sigma12,
+    sup1: sigma13,
+    sup2: sigma14,
+    sup3: sigma15,
+    sub1: sigma16,
+    sub2: sigma17,
+    supDrop: sigma18,
+    subDrop: sigma19,
+    axisHeight: sigma22,
+    defaultRuleThickness: xi8,
+    bigOpSpacing1: xi9,
+    bigOpSpacing2: xi10,
+    bigOpSpacing3: xi11,
+    bigOpSpacing4: xi12,
+    bigOpSpacing5: xi13,
+    ptPerEm: ptPerEm,
+    emPerEx: sigma5 / sigma6,
+
+    // TODO(alpert): Missing parallel structure here. We should probably add
+    // style-specific metrics for all of these.
+    delim1: sigma20,
+    getDelim2: function(style) {
+        if (style.size === Style.TEXT.size) {
+            return sigma21;
+        } else if (style.size === Style.SCRIPT.size) {
+            return sigma21Script;
+        } else if (style.size === Style.SCRIPTSCRIPT.size) {
+            return sigma21ScriptScript;
+        }
+        throw new Error("Unexpected style size: " + style.size);
+    }
+};
+
+// This map contains a mapping from font name and character code to character
+// metrics, including height, depth, italic correction, and skew (kern from the
+// character to the corresponding \skewchar)
+// This map is generated via `make metrics`. It should not be changed manually.
+var metricMap = 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+
+/**
+ * This function is a convience function for looking up information in the
+ * metricMap table. It takes a character as a string, and a style
+ */
+var getCharacterMetrics = function(character, style) {
+    return metricMap[style][character.charCodeAt(0)];
+};
+
+module.exports = {
+    metrics: metrics,
+    getCharacterMetrics: getCharacterMetrics
+};
+
+},{"./Style":8}],17:[function(require,module,exports){
+var utils = require("./utils");
+var ParseError = require("./ParseError");
+
+// This file contains a list of functions that we parse. The functions map
+// contains the following data:
+
+/*
+ * Keys are the name of the functions to parse
+ * The data contains the following keys:
+ *  - numArgs: The number of arguments the function takes.
+ *  - argTypes: (optional) An array corresponding to each argument of the
+ *              function, giving the type of argument that should be parsed. Its
+ *              length should be equal to `numArgs + numOptionalArgs`. Valid
+ *              types:
+ *               - "size": A size-like thing, such as "1em" or "5ex"
+ *               - "color": An html color, like "#abc" or "blue"
+ *               - "original": The same type as the environment that the
+ *                             function being parsed is in (e.g. used for the
+ *                             bodies of functions like \color where the first
+ *                             argument is special and the second argument is
+ *                             parsed normally)
+ *              Other possible types (probably shouldn't be used)
+ *               - "text": Text-like (e.g. \text)
+ *               - "math": Normal math
+ *              If undefined, this will be treated as an appropriate length
+ *              array of "original" strings
+ *  - greediness: (optional) The greediness of the function to use ungrouped
+ *                arguments.
+ *
+ *                E.g. if you have an expression
+ *                  \sqrt \frac 1 2
+ *                since \frac has greediness=2 vs \sqrt's greediness=1, \frac
+ *                will use the two arguments '1' and '2' as its two arguments,
+ *                then that whole function will be used as the argument to
+ *                \sqrt. On the other hand, the expressions
+ *                  \frac \frac 1 2 3
+ *                and
+ *                  \frac \sqrt 1 2
+ *                will fail because \frac and \frac have equal greediness
+ *                and \sqrt has a lower greediness than \frac respectively. To
+ *                make these parse, we would have to change them to:
+ *                  \frac {\frac 1 2} 3
+ *                and
+ *                  \frac {\sqrt 1} 2
+ *
+ *                The default value is `1`
+ *  - allowedInText: (optional) Whether or not the function is allowed inside
+ *                   text mode (default false)
+ *  - numOptionalArgs: (optional) The number of optional arguments the function
+ *                     should parse. If the optional arguments aren't found,
+ *                     `null` will be passed to the handler in their place.
+ *                     (default 0)
+ *  - handler: The function that is called to handle this function and its
+ *             arguments. The arguments are:
+ *              - func: the text of the function
+ *              - [args]: the next arguments are the arguments to the function,
+ *                        of which there are numArgs of them
+ *              - positions: the positions in the overall string of the function
+ *                           and the arguments. Should only be used to produce
+ *                           error messages
+ *             The function should return an object with the following keys:
+ *              - type: The type of element that this is. This is then used in
+ *                      buildHTML/buildMathML to determine which function
+ *                      should be called to build this node into a DOM node
+ *             Any other data can be added to the object, which will be passed
+ *             in to the function in buildHTML/buildMathML as `group.value`.
+ */
+
+var functions = {
+    // A normal square root
+    "\\sqrt": {
+        numArgs: 1,
+        numOptionalArgs: 1,
+        handler: function(func, index, body, positions) {
+            return {
+                type: "sqrt",
+                body: body,
+                index: index
+            };
+        }
+    },
+
+    // Some non-mathy text
+    "\\text": {
+        numArgs: 1,
+        argTypes: ["text"],
+        greediness: 2,
+        handler: function(func, body) {
+            // Since the corresponding buildHTML/buildMathML function expects a
+            // list of elements, we normalize for different kinds of arguments
+            // TODO(emily): maybe this should be done somewhere else
+            var inner;
+            if (body.type === "ordgroup") {
+                inner = body.value;
+            } else {
+                inner = [body];
+            }
+
+            return {
+                type: "text",
+                body: inner
+            };
+        }
+    },
+
+    // A two-argument custom color
+    "\\color": {
+        numArgs: 2,
+        allowedInText: true,
+        greediness: 3,
+        argTypes: ["color", "original"],
+        handler: function(func, color, body) {
+            // Normalize the different kinds of bodies (see \text above)
+            var inner;
+            if (body.type === "ordgroup") {
+                inner = body.value;
+            } else {
+                inner = [body];
+            }
+
+            return {
+                type: "color",
+                color: color.value,
+                value: inner
+            };
+        }
+    },
+
+    // An overline
+    "\\overline": {
+        numArgs: 1,
+        handler: function(func, body) {
+            return {
+                type: "overline",
+                body: body
+            };
+        }
+    },
+
+    // A box of the width and height
+    "\\rule": {
+        numArgs: 2,
+        numOptionalArgs: 1,
+        argTypes: ["size", "size", "size"],
+        handler: function(func, shift, width, height) {
+            return {
+                type: "rule",
+                shift: shift && shift.value,
+                width: width.value,
+                height: height.value
+            };
+        }
+    },
+
+    // A KaTeX logo
+    "\\KaTeX": {
+        numArgs: 0,
+        handler: function(func) {
+            return {
+                type: "katex"
+            };
+        }
+    },
+
+    "\\phantom": {
+        numArgs: 1,
+        handler: function(func, body) {
+            var inner;
+            if (body.type === "ordgroup") {
+                inner = body.value;
+            } else {
+                inner = [body];
+            }
+
+            return {
+                type: "phantom",
+                value: inner
+            };
+        }
+    }
+};
+
+// Extra data needed for the delimiter handler down below
+var delimiterSizes = {
+    "\\bigl" : {type: "open",    size: 1},
+    "\\Bigl" : {type: "open",    size: 2},
+    "\\biggl": {type: "open",    size: 3},
+    "\\Biggl": {type: "open",    size: 4},
+    "\\bigr" : {type: "close",   size: 1},
+    "\\Bigr" : {type: "close",   size: 2},
+    "\\biggr": {type: "close",   size: 3},
+    "\\Biggr": {type: "close",   size: 4},
+    "\\bigm" : {type: "rel",     size: 1},
+    "\\Bigm" : {type: "rel",     size: 2},
+    "\\biggm": {type: "rel",     size: 3},
+    "\\Biggm": {type: "rel",     size: 4},
+    "\\big"  : {type: "textord", size: 1},
+    "\\Big"  : {type: "textord", size: 2},
+    "\\bigg" : {type: "textord", size: 3},
+    "\\Bigg" : {type: "textord", size: 4}
+};
+
+var delimiters = [
+    "(", ")", "[", "\\lbrack", "]", "\\rbrack",
+    "\\{", "\\lbrace", "\\}", "\\rbrace",
+    "\\lfloor", "\\rfloor", "\\lceil", "\\rceil",
+    "<", ">", "\\langle", "\\rangle",
+    "/", "\\backslash",
+    "|", "\\vert", "\\|", "\\Vert",
+    "\\uparrow", "\\Uparrow",
+    "\\downarrow", "\\Downarrow",
+    "\\updownarrow", "\\Updownarrow",
+    "."
+];
+
+var fontAliases = {
+    // amstex.sty
+    "\\frak": "\\mathfrak",
+    "\\Bbb": "\\mathbb",
+    "\\bold": "\\mathbf",
+    // article.cls
+    "\\rm": "\\mathrm",
+    "\\sf": "\\mathsf",
+    "\\tt": "\\mathtt",
+    "\\bf": "\\mathbf",
+    "\\it": "\\mathit",
+    "\\cal": "\\mathcal"
+};
+
+/*
+ * This is a list of functions which each have the same function but have
+ * different names so that we don't have to duplicate the data a bunch of times.
+ * Each element in the list is an object with the following keys:
+ *  - funcs: A list of function names to be associated with the data
+ *  - data: An objecty with the same data as in each value of the `function`
+ *          table above
+ */
+var duplicatedFunctions = [
+    // Single-argument color functions
+    {
+        funcs: [
+            "\\blue", "\\orange", "\\pink", "\\red",
+            "\\green", "\\gray", "\\purple",
+            "\\blueA", "\\blueB", "\\blueC", "\\blueD", "\\blueE",
+            "\\tealA", "\\tealB", "\\tealC", "\\tealD", "\\tealE",
+            "\\greenA", "\\greenB", "\\greenC", "\\greenD", "\\greenE",
+            "\\goldA", "\\goldB", "\\goldC", "\\goldD", "\\goldE",
+            "\\redA", "\\redB", "\\redC", "\\redD", "\\redE",
+            "\\maroonA", "\\maroonB", "\\maroonC", "\\maroonD", "\\maroonE",
+            "\\purpleA", "\\purpleB", "\\purpleC", "\\purpleD", "\\purpleE",
+            "\\mintA", "\\mintB", "\\mintC",
+            "\\grayA", "\\grayB", "\\grayC", "\\grayD", "\\grayE",
+            "\\grayF", "\\grayG", "\\grayH", "\\grayI",
+            "\\kaBlue", "\\kaGreen"
+        ],
+        data: {
+            numArgs: 1,
+            allowedInText: true,
+            greediness: 3,
+            handler: function(func, body) {
+                var atoms;
+                if (body.type === "ordgroup") {
+                    atoms = body.value;
+                } else {
+                    atoms = [body];
+                }
+
+                return {
+                    type: "color",
+                    color: "katex-" + func.slice(1),
+                    value: atoms
+                };
+            }
+        }
+    },
+
+    // There are 2 flags for operators; whether they produce limits in
+    // displaystyle, and whether they are symbols and should grow in
+    // displaystyle. These four groups cover the four possible choices.
+
+    // No limits, not symbols
+    {
+        funcs: [
+            "\\arcsin", "\\arccos", "\\arctan", "\\arg", "\\cos", "\\cosh",
+            "\\cot", "\\coth", "\\csc", "\\deg", "\\dim", "\\exp", "\\hom",
+            "\\ker", "\\lg", "\\ln", "\\log", "\\sec", "\\sin", "\\sinh",
+            "\\tan","\\tanh"
+        ],
+        data: {
+            numArgs: 0,
+            handler: function(func) {
+                return {
+                    type: "op",
+                    limits: false,
+                    symbol: false,
+                    body: func
+                };
+            }
+        }
+    },
+
+    // Limits, not symbols
+    {
+        funcs: [
+            "\\det", "\\gcd", "\\inf", "\\lim", "\\liminf", "\\limsup", "\\max",
+            "\\min", "\\Pr", "\\sup"
+        ],
+        data: {
+            numArgs: 0,
+            handler: function(func) {
+                return {
+                    type: "op",
+                    limits: true,
+                    symbol: false,
+                    body: func
+                };
+            }
+        }
+    },
+
+    // No limits, symbols
+    {
+        funcs: [
+            "\\int", "\\iint", "\\iiint", "\\oint"
+        ],
+        data: {
+            numArgs: 0,
+            handler: function(func) {
+                return {
+                    type: "op",
+                    limits: false,
+                    symbol: true,
+                    body: func
+                };
+            }
+        }
+    },
+
+    // Limits, symbols
+    {
+        funcs: [
+            "\\coprod", "\\bigvee", "\\bigwedge", "\\biguplus", "\\bigcap",
+            "\\bigcup", "\\intop", "\\prod", "\\sum", "\\bigotimes",
+            "\\bigoplus", "\\bigodot", "\\bigsqcup", "\\smallint"
+        ],
+        data: {
+            numArgs: 0,
+            handler: function(func) {
+                return {
+                    type: "op",
+                    limits: true,
+                    symbol: true,
+                    body: func
+                };
+            }
+        }
+    },
+
+    // Fractions
+    {
+        funcs: [
+            "\\dfrac", "\\frac", "\\tfrac",
+            "\\dbinom", "\\binom", "\\tbinom"
+        ],
+        data: {
+            numArgs: 2,
+            greediness: 2,
+            handler: function(func, numer, denom) {
+                var hasBarLine;
+                var leftDelim = null;
+                var rightDelim = null;
+                var size = "auto";
+
+                switch (func) {
+                    case "\\dfrac":
+                    case "\\frac":
+                    case "\\tfrac":
+                        hasBarLine = true;
+                        break;
+                    case "\\dbinom":
+                    case "\\binom":
+                    case "\\tbinom":
+                        hasBarLine = false;
+                        leftDelim = "(";
+                        rightDelim = ")";
+                        break;
+                    default:
+                        throw new Error("Unrecognized genfrac command");
+                }
+
+                switch (func) {
+                    case "\\dfrac":
+                    case "\\dbinom":
+                        size = "display";
+                        break;
+                    case "\\tfrac":
+                    case "\\tbinom":
+                        size = "text";
+                        break;
+                }
+
+                return {
+                    type: "genfrac",
+                    numer: numer,
+                    denom: denom,
+                    hasBarLine: hasBarLine,
+                    leftDelim: leftDelim,
+                    rightDelim: rightDelim,
+                    size: size
+                };
+            }
+        }
+    },
+
+    // Left and right overlap functions
+    {
+        funcs: ["\\llap", "\\rlap"],
+        data: {
+            numArgs: 1,
+            allowedInText: true,
+            handler: function(func, body) {
+                return {
+                    type: func.slice(1),
+                    body: body
+                };
+            }
+        }
+    },
+
+    // Delimiter functions
+    {
+        funcs: [
+            "\\bigl", "\\Bigl", "\\biggl", "\\Biggl",
+            "\\bigr", "\\Bigr", "\\biggr", "\\Biggr",
+            "\\bigm", "\\Bigm", "\\biggm", "\\Biggm",
+            "\\big",  "\\Big",  "\\bigg",  "\\Bigg",
+            "\\left", "\\right"
+        ],
+        data: {
+            numArgs: 1,
+            handler: function(func, delim, positions) {
+                if (!utils.contains(delimiters, delim.value)) {
+                    throw new ParseError(
+                        "Invalid delimiter: '" + delim.value + "' after '" +
+                            func + "'",
+                        this.lexer, positions[1]);
+                }
+
+                // \left and \right are caught somewhere in Parser.js, which is
+                // why this data doesn't match what is in buildHTML.
+                if (func === "\\left" || func === "\\right") {
+                    return {
+                        type: "leftright",
+                        value: delim.value
+                    };
+                } else {
+                    return {
+                        type: "delimsizing",
+                        size: delimiterSizes[func].size,
+                        delimType: delimiterSizes[func].type,
+                        value: delim.value
+                    };
+                }
+            }
+        }
+    },
+
+    // Sizing functions (handled in Parser.js explicitly, hence no handler)
+    {
+        funcs: [
+            "\\tiny", "\\scriptsize", "\\footnotesize", "\\small",
+            "\\normalsize", "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge"
+        ],
+        data: {
+            numArgs: 0
+        }
+    },
+
+    // Style changing functions (handled in Parser.js explicitly, hence no
+    // handler)
+    {
+        funcs: [
+            "\\displaystyle", "\\textstyle", "\\scriptstyle",
+            "\\scriptscriptstyle"
+        ],
+        data: {
+            numArgs: 0
+        }
+    },
+
+    {
+        funcs: [
+            // styles
+            "\\mathrm", "\\mathit", "\\mathbf",
+
+            // families
+            "\\mathbb",  "\\mathcal", "\\mathfrak", "\\mathscr", "\\mathsf",
+            "\\mathtt"
+        ],
+        data: {
+            numArgs: 1,
+            handler: function (func, body) {
+                if (func in fontAliases) {
+                    func = fontAliases[func];
+                }
+                return {
+                    type: "font",
+                    font: func.slice(1),
+                    body: body
+                };
+            }
+        }
+    },
+
+    // Accents
+    {
+        funcs: [
+            "\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve",
+            "\\check", "\\hat", "\\vec", "\\dot"
+            // We don't support expanding accents yet
+            // "\\widetilde", "\\widehat"
+        ],
+        data: {
+            numArgs: 1,
+            handler: function(func, base) {
+                return {
+                    type: "accent",
+                    accent: func,
+                    base: base
+                };
+            }
+        }
+    },
+
+    // Infix generalized fractions
+    {
+        funcs: ["\\over", "\\choose"],
+        data: {
+            numArgs: 0,
+            handler: function (func) {
+                var replaceWith;
+                switch (func) {
+                    case "\\over":
+                        replaceWith = "\\frac";
+                        break;
+                    case "\\choose":
+                        replaceWith = "\\binom";
+                        break;
+                    default:
+                        throw new Error("Unrecognized infix genfrac command");
+                }
+                return {
+                    type: "infix",
+                    replaceWith: replaceWith
+                };
+            }
+        }
+    },
+
+    // Row breaks for aligned data
+    {
+        funcs: ["\\\\", "\\cr"],
+        data: {
+            numArgs: 0,
+            numOptionalArgs: 1,
+            argTypes: ["size"],
+            handler: function(func, size) {
+                return {
+                    type: "cr",
+                    size: size
+                };
+            }
+        }
+    },
+
+    // Environment delimiters
+    {
+        funcs: ["\\begin", "\\end"],
+        data: {
+            numArgs: 1,
+            argTypes: ["text"],
+            handler: function(func, nameGroup, positions) {
+                if (nameGroup.type !== "ordgroup") {
+                    throw new ParseError(
+                        "Invalid environment name",
+                        this.lexer, positions[1]);
+                }
+                var name = "";
+                for (var i = 0; i < nameGroup.value.length; ++i) {
+                    name += nameGroup.value[i].value;
+                }
+                return {
+                    type: "environment",
+                    name: name,
+                    namepos: positions[1]
+                };
+            }
+        }
+    }
+];
+
+var addFuncsWithData = function(funcs, data) {
+    for (var i = 0; i < funcs.length; i++) {
+        functions[funcs[i]] = data;
+    }
+};
+
+// Add all of the functions in duplicatedFunctions to the functions map
+for (var i = 0; i < duplicatedFunctions.length; i++) {
+    addFuncsWithData(duplicatedFunctions[i].funcs, duplicatedFunctions[i].data);
+}
+
+// Set default values of functions
+for (var f in functions) {
+    if (functions.hasOwnProperty(f)) {
+        var func = functions[f];
+
+        functions[f] = {
+            numArgs: func.numArgs,
+            argTypes: func.argTypes,
+            greediness: (func.greediness === undefined) ? 1 : func.greediness,
+            allowedInText: func.allowedInText ? func.allowedInText : false,
+            numOptionalArgs: (func.numOptionalArgs === undefined) ? 0 :
+                func.numOptionalArgs,
+            handler: func.handler
+        };
+    }
+}
+
+module.exports = {
+    funcs: functions
+};
+
+},{"./ParseError":5,"./utils":22}],18:[function(require,module,exports){
+/**
+ * These objects store data about MathML nodes. This is the MathML equivalent
+ * of the types in domTree.js. Since MathML handles its own rendering, and
+ * since we're mainly using MathML to improve accessibility, we don't manage
+ * any of the styling state that the plain DOM nodes do.
+ *
+ * The `toNode` and `toMarkup` functions work simlarly to how they do in
+ * domTree.js, creating namespaced DOM nodes and HTML text markup respectively.
+ */
+
+var utils = require("./utils");
+
+/**
+ * This node represents a general purpose MathML node of any type. The
+ * constructor requires the type of node to create (for example, `"mo"` or
+ * `"mspace"`, corresponding to `<mo>` and `<mspace>` tags).
+ */
+function MathNode(type, children) {
+    this.type = type;
+    this.attributes = {};
+    this.children = children || [];
+}
+
+/**
+ * Sets an attribute on a MathML node. MathML depends on attributes to convey a
+ * semantic content, so this is used heavily.
+ */
+MathNode.prototype.setAttribute = function(name, value) {
+    this.attributes[name] = value;
+};
+
+/**
+ * Converts the math node into a MathML-namespaced DOM element.
+ */
+MathNode.prototype.toNode = function() {
+    var node = document.createElementNS(
+        "http://www.w3.org/1998/Math/MathML", this.type);
+
+    for (var attr in this.attributes) {
+        if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+            node.setAttribute(attr, this.attributes[attr]);
+        }
+    }
+
+    for (var i = 0; i < this.children.length; i++) {
+        node.appendChild(this.children[i].toNode());
+    }
+
+    return node;
+};
+
+/**
+ * Converts the math node into an HTML markup string.
+ */
+MathNode.prototype.toMarkup = function() {
+    var markup = "<" + this.type;
+
+    // Add the attributes
+    for (var attr in this.attributes) {
+        if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+            markup += " " + attr + "=\"";
+            markup += utils.escape(this.attributes[attr]);
+            markup += "\"";
+        }
+    }
+
+    markup += ">";
+
+    for (var i = 0; i < this.children.length; i++) {
+        markup += this.children[i].toMarkup();
+    }
+
+    markup += "</" + this.type + ">";
+
+    return markup;
+};
+
+/**
+ * This node represents a piece of text.
+ */
+function TextNode(text) {
+    this.text = text;
+}
+
+/**
+ * Converts the text node into a DOM text node.
+ */
+TextNode.prototype.toNode = function() {
+    return document.createTextNode(this.text);
+};
+
+/**
+ * Converts the text node into HTML markup (which is just the text itself).
+ */
+TextNode.prototype.toMarkup = function() {
+    return utils.escape(this.text);
+};
+
+module.exports = {
+    MathNode: MathNode,
+    TextNode: TextNode
+};
+
+},{"./utils":22}],19:[function(require,module,exports){
+/**
+ * The resulting parse tree nodes of the parse tree.
+ */
+function ParseNode(type, value, mode) {
+    this.type = type;
+    this.value = value;
+    this.mode = mode;
+}
+
+/**
+ * A result and final position returned by the `.parse...` functions.
+ * 
+ */
+function ParseResult(result, newPosition, peek) {
+    this.result = result;
+    this.position = newPosition;
+}
+
+module.exports = {
+    ParseNode: ParseNode,
+    ParseResult: ParseResult
+};
+
+
+},{}],20:[function(require,module,exports){
+/**
+ * Provides a single function for parsing an expression using a Parser
+ * TODO(emily): Remove this
+ */
+
+var Parser = require("./Parser");
+
+/**
+ * Parses an expression using a Parser, then returns the parsed result.
+ */
+var parseTree = function(toParse, settings) {
+    var parser = new Parser(toParse, settings);
+
+    return parser.parse();
+};
+
+module.exports = parseTree;
+
+},{"./Parser":6}],21:[function(require,module,exports){
+/**
+ * This file holds a list of all no-argument functions and single-character
+ * symbols (like 'a' or ';').
+ *
+ * For each of the symbols, there are three properties they can have:
+ * - font (required): the font to be used for this symbol. Either "main" (the
+     normal font), or "ams" (the ams fonts).
+ * - group (required): the ParseNode group type the symbol should have (i.e.
+     "textord", "mathord", etc).
+ * - replace (optional): the character that this symbol or function should be
+ *   replaced with (i.e. "\phi" has a replace value of "\u03d5", the phi
+ *   character in the main font).
+ *
+ * The outermost map in the table indicates what mode the symbols should be
+ * accepted in (e.g. "math" or "text").
+ */
+
+var symbols = {
+    "math": {
+        // Relation Symbols
+        "\\equiv": {
+            font: "main",
+            group: "rel",
+            replace: "\u2261"
+        },
+        "\\prec": {
+            font: "main",
+            group: "rel",
+            replace: "\u227a"
+        },
+        "\\succ": {
+            font: "main",
+            group: "rel",
+            replace: "\u227b"
+        },
+        "\\sim": {
+            font: "main",
+            group: "rel",
+            replace: "\u223c"
+        },
+        "\\perp": {
+            font: "main",
+            group: "rel",
+            replace: "\u22a5"
+        },
+        "\\preceq": {
+            font: "main",
+            group: "rel",
+            replace: "\u2aaf"
+        },
+        "\\succeq": {
+            font: "main",
+            group: "rel",
+            replace: "\u2ab0"
+        },
+        "\\simeq": {
+            font: "main",
+            group: "rel",
+            replace: "\u2243"
+        },
+        "\\mid": {
+            font: "main",
+            group: "rel",
+            replace: "\u2223"
+        },
+        "\\ll": {
+            font: "main",
+            group: "rel",
+            replace: "\u226a"
+        },
+        "\\gg": {
+            font: "main",
+            group: "rel",
+            replace: "\u226b"
+        },
+        "\\asymp": {
+            font: "main",
+            group: "rel",
+            replace: "\u224d"
+        },
+        "\\parallel": {
+            font: "main",
+            group: "rel",
+            replace: "\u2225"
+        },
+        "\\bowtie": {
+            font: "main",
+            group: "rel",
+            replace: "\u22c8"
+        },
+        "\\smile": {
+            font: "main",
+            group: "rel",
+            replace: "\u2323"
+        },
+        "\\sqsubseteq": {
+            font: "main",
+            group: "rel",
+            replace: "\u2291"
+        },
+        "\\sqsupseteq": {
+            font: "main",
+            group: "rel",
+            replace: "\u2292"
+        },
+        "\\doteq": {
+            font: "main",
+            group: "rel",
+            replace: "\u2250"
+        },
+        "\\frown": {
+            font: "main",
+            group: "rel",
+            replace: "\u2322"
+        },
+        "\\ni": {
+            font: "main",
+            group: "rel",
+            replace: "\u220b"
+        },
+        "\\propto": {
+            font: "main",
+            group: "rel",
+            replace: "\u221d"
+        },
+        "\\vdash": {
+            font: "main",
+            group: "rel",
+            replace: "\u22a2"
+        },
+        "\\dashv": {
+            font: "main",
+            group: "rel",
+            replace: "\u22a3"
+        },
+        "\\owns": {
+            font: "main",
+            group: "rel",
+            replace: "\u220b"
+        },
+
+        // Punctuation
+        "\\ldotp": {
+            font: "main",
+            group: "punct",
+            replace: "\u002e"
+        },
+        "\\cdotp": {
+            font: "main",
+            group: "punct",
+            replace: "\u22c5"
+        },
+
+        // Misc Symbols
+        "\\#": {
+          font: "main",
+          group: "textord",
+          replace: "\u0023"
+        },
+        "\\&": {
+          font: "main",
+          group: "textord",
+          replace: "\u0026"
+        },
+        "\\aleph": {
+            font: "main",
+            group: "textord",
+            replace: "\u2135"
+        },
+        "\\forall": {
+            font: "main",
+            group: "textord",
+            replace: "\u2200"
+        },
+        "\\hbar": {
+            font: "main",
+            group: "textord",
+            replace: "\u210f"
+        },
+        "\\exists": {
+            font: "main",
+            group: "textord",
+            replace: "\u2203"
+        },
+        "\\nabla": {
+            font: "main",
+            group: "textord",
+            replace: "\u2207"
+        },
+        "\\flat": {
+            font: "main",
+            group: "textord",
+            replace: "\u266d"
+        },
+        "\\ell": {
+            font: "main",
+            group: "textord",
+            replace: "\u2113"
+        },
+        "\\natural": {
+            font: "main",
+            group: "textord",
+            replace: "\u266e"
+        },
+        "\\clubsuit": {
+            font: "main",
+            group: "textord",
+            replace: "\u2663"
+        },
+        "\\wp": {
+            font: "main",
+            group: "textord",
+            replace: "\u2118"
+        },
+        "\\sharp": {
+            font: "main",
+            group: "textord",
+            replace: "\u266f"
+        },
+        "\\diamondsuit": {
+            font: "main",
+            group: "textord",
+            replace: "\u2662"
+        },
+        "\\Re": {
+            font: "main",
+            group: "textord",
+            replace: "\u211c"
+        },
+        "\\heartsuit": {
+            font: "main",
+            group: "textord",
+            replace: "\u2661"
+        },
+        "\\Im": {
+            font: "main",
+            group: "textord",
+            replace: "\u2111"
+        },
+        "\\spadesuit": {
+            font: "main",
+            group: "textord",
+            replace: "\u2660"
+        },
+
+        // Math and Text
+        "\\dag": {
+            font: "main",
+            group: "textord",
+            replace: "\u2020"
+        },
+        "\\ddag": {
+            font: "main",
+            group: "textord",
+            replace: "\u2021"
+        },
+
+        // Large Delimiters
+        "\\rmoustache": {
+            font: "main",
+            group: "close",
+            replace: "\u23b1"
+        },
+        "\\lmoustache": {
+            font: "main",
+            group: "open",
+            replace: "\u23b0"
+        },
+        "\\rgroup": {
+            font: "main",
+            group: "close",
+            replace: "\u27ef"
+        },
+        "\\lgroup": {
+            font: "main",
+            group: "open",
+            replace: "\u27ee"
+        },
+
+        // Binary Operators
+        "\\mp": {
+            font: "main",
+            group: "bin",
+            replace: "\u2213"
+        },
+        "\\ominus": {
+            font: "main",
+            group: "bin",
+            replace: "\u2296"
+        },
+        "\\uplus": {
+            font: "main",
+            group: "bin",
+            replace: "\u228e"
+        },
+        "\\sqcap": {
+            font: "main",
+            group: "bin",
+            replace: "\u2293"
+        },
+        "\\ast": {
+            font: "main",
+            group: "bin",
+            replace: "\u2217"
+        },
+        "\\sqcup": {
+            font: "main",
+            group: "bin",
+            replace: "\u2294"
+        },
+        "\\bigcirc": {
+            font: "main",
+            group: "bin",
+            replace: "\u25ef"
+        },
+        "\\bullet": {
+            font: "main",
+            group: "bin",
+            replace: "\u2219"
+        },
+        "\\ddagger": {
+            font: "main",
+            group: "bin",
+            replace: "\u2021"
+        },
+        "\\wr": {
+            font: "main",
+            group: "bin",
+            replace: "\u2240"
+        },
+        "\\amalg": {
+            font: "main",
+            group: "bin",
+            replace: "\u2a3f"
+        },
+
+        // Arrow Symbols
+        "\\longleftarrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u27f5"
+        },
+        "\\Leftarrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u21d0"
+        },
+        "\\Longleftarrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u27f8"
+        },
+        "\\longrightarrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u27f6"
+        },
+        "\\Rightarrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u21d2"
+        },
+        "\\Longrightarrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u27f9"
+        },
+        "\\leftrightarrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u2194"
+        },
+        "\\longleftrightarrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u27f7"
+        },
+        "\\Leftrightarrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u21d4"
+        },
+        "\\Longleftrightarrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u27fa"
+        },
+        "\\mapsto": {
+            font: "main",
+            group: "rel",
+            replace: "\u21a6"
+        },
+        "\\longmapsto": {
+            font: "main",
+            group: "rel",
+            replace: "\u27fc"
+        },
+        "\\nearrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u2197"
+        },
+        "\\hookleftarrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u21a9"
+        },
+        "\\hookrightarrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u21aa"
+        },
+        "\\searrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u2198"
+        },
+        "\\leftharpoonup": {
+            font: "main",
+            group: "rel",
+            replace: "\u21bc"
+        },
+        "\\rightharpoonup": {
+            font: "main",
+            group: "rel",
+            replace: "\u21c0"
+        },
+        "\\swarrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u2199"
+        },
+        "\\leftharpoondown": {
+            font: "main",
+            group: "rel",
+            replace: "\u21bd"
+        },
+        "\\rightharpoondown": {
+            font: "main",
+            group: "rel",
+            replace: "\u21c1"
+        },
+        "\\nwarrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u2196"
+        },
+        "\\rightleftharpoons": {
+            font: "main",
+            group: "rel",
+            replace: "\u21cc"
+        },
+
+        // AMS Negated Binary Relations
+        "\\nless": {
+            font: "ams",
+            group: "rel",
+            replace: "\u226e"
+        },
+        "\\nleqslant": {
+            font: "ams",
+            group: "rel",
+            replace: "\ue010"
+        },
+        "\\nleqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\ue011"
+        },
+        "\\lneq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2a87"
+        },
+        "\\lneqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2268"
+        },
+        "\\lvertneqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\ue00c"
+        },
+        "\\lnsim": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22e6"
+        },
+        "\\lnapprox": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2a89"
+        },
+        "\\nprec": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2280"
+        },
+        "\\npreceq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22e0"
+        },
+        "\\precnsim": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22e8"
+        },
+        "\\precnapprox": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2ab9"
+        },
+        "\\nsim": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2241"
+        },
+        "\\nshortmid": {
+            font: "ams",
+            group: "rel",
+            replace: "\ue006"
+        },
+        "\\nmid": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2224"
+        },
+        "\\nvdash": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22ac"
+        },
+        "\\nvDash": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22ad"
+        },
+        "\\ntriangleleft": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22ea"
+        },
+        "\\ntrianglelefteq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22ec"
+        },
+        "\\subsetneq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u228a"
+        },
+        "\\varsubsetneq": {
+            font: "ams",
+            group: "rel",
+            replace: "\ue01a"
+        },
+        "\\subsetneqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2acb"
+        },
+        "\\varsubsetneqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\ue017"
+        },
+        "\\ngtr": {
+            font: "ams",
+            group: "rel",
+            replace: "\u226f"
+        },
+        "\\ngeqslant": {
+            font: "ams",
+            group: "rel",
+            replace: "\ue00f"
+        },
+        "\\ngeqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\ue00e"
+        },
+        "\\gneq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2a88"
+        },
+        "\\gneqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2269"
+        },
+        "\\gvertneqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\ue00d"
+        },
+        "\\gnsim": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22e7"
+        },
+        "\\gnapprox": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2a8a"
+        },
+        "\\nsucc": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2281"
+        },
+        "\\nsucceq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22e1"
+        },
+        "\\succnsim": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22e9"
+        },
+        "\\succnapprox": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2aba"
+        },
+        "\\ncong": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2246"
+        },
+        "\\nshortparallel": {
+            font: "ams",
+            group: "rel",
+            replace: "\ue007"
+        },
+        "\\nparallel": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2226"
+        },
+        "\\nVDash": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22af"
+        },
+        "\\ntriangleright": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22eb"
+        },
+        "\\ntrianglerighteq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22ed"
+        },
+        "\\nsupseteqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\ue018"
+        },
+        "\\supsetneq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u228b"
+        },
+        "\\varsupsetneq": {
+            font: "ams",
+            group: "rel",
+            replace: "\ue01b"
+        },
+        "\\supsetneqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2acc"
+        },
+        "\\varsupsetneqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\ue019"
+        },
+        "\\nVdash": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22ae"
+        },
+        "\\precneqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2ab5"
+        },
+        "\\succneqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2ab6"
+        },
+        "\\nsubseteqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\ue016"
+        },
+        "\\unlhd": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22b4"
+        },
+        "\\unrhd": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22b5"
+        },
+
+        // AMS Negated Arrows
+         "\\nleftarrow": {
+            font: "ams",
+            group: "rel",
+            replace: "\u219a"
+        },
+        "\\nrightarrow": {
+            font: "ams",
+            group: "rel",
+            replace: "\u219b"
+        },
+        "\\nLeftarrow": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21cd"
+        },
+        "\\nRightarrow": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21cf"
+        },
+        "\\nleftrightarrow": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21ae"
+        },
+        "\\nLeftrightarrow": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21ce"
+        },
+
+        // AMS Misc
+        "\\vartriangle": {
+            font: "ams",
+            group: "rel",
+            replace: "\u25b3"
+        },
+        "\\hslash": {
+            font: "ams",
+            group: "textord",
+            replace: "\u210f"
+        },
+        "\\triangledown": {
+            font: "ams",
+            group: "textord",
+            replace: "\u25bd"
+        },
+        "\\lozenge": {
+            font: "ams",
+            group: "textord",
+            replace: "\u25ca"
+        },
+        "\\circledS": {
+            font: "ams",
+            group: "textord",
+            replace: "\u24c8"
+        },
+        "\\circledR": {
+            font: "ams",
+            group: "textord",
+            replace: "\u00ae"
+        },
+        "\\measuredangle": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2221"
+        },
+        "\\nexists": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2204"
+        },
+        "\\mho": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2127"
+        },
+        "\\Finv": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2132"
+        },
+        "\\Game": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2141"
+        },
+        "\\Bbbk": {
+            font: "ams",
+            group: "textord",
+            replace: "\u006b"
+        },
+        "\\backprime": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2035"
+        },
+        "\\blacktriangle": {
+            font: "ams",
+            group: "textord",
+            replace: "\u25b2"
+        },
+        "\\blacktriangledown": {
+            font: "ams",
+            group: "textord",
+            replace: "\u25bc"
+        },
+        "\\blacksquare": {
+            font: "ams",
+            group: "textord",
+            replace: "\u25a0"
+        },
+        "\\blacklozenge": {
+            font: "ams",
+            group: "textord",
+            replace: "\u29eb"
+        },
+        "\\bigstar": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2605"
+        },
+        "\\sphericalangle": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2222"
+        },
+        "\\complement": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2201"
+        },
+        "\\eth": {
+            font: "ams",
+            group: "textord",
+            replace: "\u00f0"
+        },
+        "\\diagup": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2571"
+        },
+        "\\diagdown": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2572"
+        },
+        "\\square": {
+            font: "ams",
+            group: "textord",
+            replace: "\u25a1"
+        },
+        "\\Box": {
+            font: "ams",
+            group: "textord",
+            replace: "\u25a1"
+        },
+        "\\Diamond": {
+            font: "ams",
+            group: "textord",
+            replace: "\u25ca"
+        },
+        "\\yen": {
+            font: "ams",
+            group: "textord",
+            replace: "\u00a5"
+        },
+        "\\checkmark": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2713"
+        },
+
+        // AMS Hebrew
+        "\\beth": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2136"
+        },
+        "\\daleth": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2138"
+        },
+        "\\gimel": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2137"
+        },
+
+        // AMS Greek
+        "\\digamma": {
+            font: "ams",
+            group: "textord",
+            replace: "\u03dd"
+        },
+        "\\varkappa": {
+            font: "ams",
+            group: "textord",
+            replace: "\u03f0"
+        },
+
+        // AMS Delimiters
+        "\\ulcorner": {
+            font: "ams",
+            group: "textord",
+            replace: "\u250c"
+        },
+        "\\urcorner": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2510"
+        },
+        "\\llcorner": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2514"
+        },
+        "\\lrcorner": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2518"
+        },
+
+        // AMS Binary Relations
+        "\\leqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2266"
+        },
+        "\\leqslant": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2a7d"
+        },
+        "\\eqslantless": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2a95"
+        },
+        "\\lesssim": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2272"
+        },
+        "\\lessapprox": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2a85"
+        },
+        "\\approxeq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u224a"
+        },
+        "\\lessdot": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22d6"
+        },
+        "\\lll": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22d8"
+        },
+        "\\lessgtr": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2276"
+        },
+        "\\lesseqgtr": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22da"
+        },
+        "\\lesseqqgtr": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2a8b"
+        },
+        "\\doteqdot": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2251"
+        },
+        "\\risingdotseq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2253"
+        },
+        "\\fallingdotseq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2252"
+        },
+        "\\backsim": {
+            font: "ams",
+            group: "rel",
+            replace: "\u223d"
+        },
+        "\\backsimeq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22cd"
+        },
+        "\\subseteqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2ac5"
+        },
+        "\\Subset": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22d0"
+        },
+        "\\sqsubset": {
+            font: "ams",
+            group: "rel",
+            replace: "\u228f"
+        },
+        "\\preccurlyeq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u227c"
+        },
+        "\\curlyeqprec": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22de"
+        },
+        "\\precsim": {
+            font: "ams",
+            group: "rel",
+            replace: "\u227e"
+        },
+        "\\precapprox": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2ab7"
+        },
+        "\\vartriangleleft": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22b2"
+        },
+        "\\trianglelefteq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22b4"
+        },
+        "\\vDash": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22a8"
+        },
+        "\\Vvdash": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22aa"
+        },
+        "\\smallsmile": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2323"
+        },
+        "\\smallfrown": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2322"
+        },
+        "\\bumpeq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u224f"
+        },
+        "\\Bumpeq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u224e"
+        },
+        "\\geqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2267"
+        },
+        "\\geqslant": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2a7e"
+        },
+        "\\eqslantgtr": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2a96"
+        },
+        "\\gtrsim": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2273"
+        },
+        "\\gtrapprox": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2a86"
+        },
+        "\\gtrdot": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22d7"
+        },
+        "\\ggg": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22d9"
+        },
+        "\\gtrless": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2277"
+        },
+        "\\gtreqless": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22db"
+        },
+        "\\gtreqqless": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2a8c"
+        },
+        "\\eqcirc": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2256"
+        },
+        "\\circeq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2257"
+        },
+        "\\triangleq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u225c"
+        },
+        "\\thicksim": {
+            font: "ams",
+            group: "rel",
+            replace: "\u223c"
+        },
+        "\\thickapprox": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2248"
+        },
+        "\\supseteqq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2ac6"
+        },
+        "\\Supset": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22d1"
+        },
+        "\\sqsupset": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2290"
+        },
+        "\\succcurlyeq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u227d"
+        },
+        "\\curlyeqsucc": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22df"
+        },
+        "\\succsim": {
+            font: "ams",
+            group: "rel",
+            replace: "\u227f"
+        },
+        "\\succapprox": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2ab8"
+        },
+        "\\vartriangleright": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22b3"
+        },
+        "\\trianglerighteq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22b5"
+        },
+        "\\Vdash": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22a9"
+        },
+        "\\shortmid": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2223"
+        },
+        "\\shortparallel": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2225"
+        },
+        "\\between": {
+            font: "ams",
+            group: "rel",
+            replace: "\u226c"
+        },
+        "\\pitchfork": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22d4"
+        },
+        "\\varpropto": {
+            font: "ams",
+            group: "rel",
+            replace: "\u221d"
+        },
+        "\\blacktriangleleft": {
+            font: "ams",
+            group: "rel",
+            replace: "\u25c0"
+        },
+        "\\therefore": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2234"
+        },
+        "\\backepsilon": {
+            font: "ams",
+            group: "rel",
+            replace: "\u220d"
+        },
+        "\\blacktriangleright": {
+            font: "ams",
+            group: "rel",
+            replace: "\u25b6"
+        },
+        "\\because": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2235"
+        },
+        "\\llless": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22d8"
+        },
+        "\\gggtr": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22d9"
+        },
+        "\\lhd": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22b2"
+        },
+        "\\rhd": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22b3"
+        },
+        "\\eqsim": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2242"
+        },
+        "\\Join": {
+            font: "main",
+            group: "rel",
+            replace: "\u22c8"
+        },
+        "\\Doteq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2251"
+        },
+
+        // AMS Binary Operators
+        "\\dotplus": {
+            font: "ams",
+            group: "bin",
+            replace: "\u2214"
+        },
+        "\\smallsetminus": {
+            font: "ams",
+            group: "bin",
+            replace: "\u2216"
+        },
+        "\\Cap": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22d2"
+        },
+        "\\Cup": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22d3"
+        },
+        "\\doublebarwedge": {
+            font: "ams",
+            group: "bin",
+            replace: "\u2a5e"
+        },
+        "\\boxminus": {
+            font: "ams",
+            group: "bin",
+            replace: "\u229f"
+        },
+        "\\boxplus": {
+            font: "ams",
+            group: "bin",
+            replace: "\u229e"
+        },
+        "\\divideontimes": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22c7"
+        },
+        "\\ltimes": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22c9"
+        },
+        "\\rtimes": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22ca"
+        },
+        "\\leftthreetimes": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22cb"
+        },
+        "\\rightthreetimes": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22cc"
+        },
+        "\\curlywedge": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22cf"
+        },
+        "\\curlyvee": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22ce"
+        },
+        "\\circleddash": {
+            font: "ams",
+            group: "bin",
+            replace: "\u229d"
+        },
+        "\\circledast": {
+            font: "ams",
+            group: "bin",
+            replace: "\u229b"
+        },
+        "\\centerdot": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22c5"
+        },
+        "\\intercal": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22ba"
+        },
+        "\\doublecap": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22d2"
+        },
+        "\\doublecup": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22d3"
+        },
+        "\\boxtimes": {
+            font: "ams",
+            group: "bin",
+            replace: "\u22a0"
+        },
+
+        // AMS Arrows
+        "\\dashrightarrow": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21e2"
+        },
+        "\\dashleftarrow": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21e0"
+        },
+        "\\leftleftarrows": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21c7"
+        },
+        "\\leftrightarrows": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21c6"
+        },
+        "\\Lleftarrow": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21da"
+        },
+        "\\twoheadleftarrow": {
+            font: "ams",
+            group: "rel",
+            replace: "\u219e"
+        },
+        "\\leftarrowtail": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21a2"
+        },
+        "\\looparrowleft": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21ab"
+        },
+        "\\leftrightharpoons": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21cb"
+        },
+        "\\curvearrowleft": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21b6"
+        },
+        "\\circlearrowleft": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21ba"
+        },
+        "\\Lsh": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21b0"
+        },
+        "\\upuparrows": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21c8"
+        },
+        "\\upharpoonleft": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21bf"
+        },
+        "\\downharpoonleft": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21c3"
+        },
+        "\\multimap": {
+            font: "ams",
+            group: "rel",
+            replace: "\u22b8"
+        },
+        "\\leftrightsquigarrow": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21ad"
+        },
+        "\\rightrightarrows": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21c9"
+        },
+        "\\rightleftarrows": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21c4"
+        },
+        "\\twoheadrightarrow": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21a0"
+        },
+        "\\rightarrowtail": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21a3"
+        },
+        "\\looparrowright": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21ac"
+        },
+        "\\curvearrowright": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21b7"
+        },
+        "\\circlearrowright": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21bb"
+        },
+        "\\Rsh": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21b1"
+        },
+        "\\downdownarrows": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21ca"
+        },
+        "\\upharpoonright": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21be"
+        },
+        "\\downharpoonright": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21c2"
+        },
+        "\\rightsquigarrow": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21dd"
+        },
+        "\\leadsto": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21dd"
+        },
+        "\\Rrightarrow": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21db"
+        },
+        "\\restriction": {
+            font: "ams",
+            group: "rel",
+            replace: "\u21be"
+        },
+
+        "`": {
+            font: "main",
+            group: "textord",
+            replace: "\u2018"
+        },
+        "\\$": {
+            font: "main",
+            group: "textord",
+            replace: "$"
+        },
+        "\\%": {
+            font: "main",
+            group: "textord",
+            replace: "%"
+        },
+        "\\_": {
+            font: "main",
+            group: "textord",
+            replace: "_"
+        },
+        "\\angle": {
+            font: "main",
+            group: "textord",
+            replace: "\u2220"
+        },
+        "\\infty": {
+            font: "main",
+            group: "textord",
+            replace: "\u221e"
+        },
+        "\\prime": {
+            font: "main",
+            group: "textord",
+            replace: "\u2032"
+        },
+        "\\triangle": {
+            font: "main",
+            group: "textord",
+            replace: "\u25b3"
+        },
+        "\\Gamma": {
+            font: "main",
+            group: "textord",
+            replace: "\u0393"
+        },
+        "\\Delta": {
+            font: "main",
+            group: "textord",
+            replace: "\u0394"
+        },
+        "\\Theta": {
+            font: "main",
+            group: "textord",
+            replace: "\u0398"
+        },
+        "\\Lambda": {
+            font: "main",
+            group: "textord",
+            replace: "\u039b"
+        },
+        "\\Xi": {
+            font: "main",
+            group: "textord",
+            replace: "\u039e"
+        },
+        "\\Pi": {
+            font: "main",
+            group: "textord",
+            replace: "\u03a0"
+        },
+        "\\Sigma": {
+            font: "main",
+            group: "textord",
+            replace: "\u03a3"
+        },
+        "\\Upsilon": {
+            font: "main",
+            group: "textord",
+            replace: "\u03a5"
+        },
+        "\\Phi": {
+            font: "main",
+            group: "textord",
+            replace: "\u03a6"
+        },
+        "\\Psi": {
+            font: "main",
+            group: "textord",
+            replace: "\u03a8"
+        },
+        "\\Omega": {
+            font: "main",
+            group: "textord",
+            replace: "\u03a9"
+        },
+        "\\neg": {
+            font: "main",
+            group: "textord",
+            replace: "\u00ac"
+        },
+        "\\lnot": {
+            font: "main",
+            group: "textord",
+            replace: "\u00ac"
+        },
+        "\\top": {
+            font: "main",
+            group: "textord",
+            replace: "\u22a4"
+        },
+        "\\bot": {
+            font: "main",
+            group: "textord",
+            replace: "\u22a5"
+        },
+        "\\emptyset": {
+            font: "main",
+            group: "textord",
+            replace: "\u2205"
+        },
+        "\\varnothing": {
+            font: "ams",
+            group: "textord",
+            replace: "\u2205"
+        },
+        "\\alpha": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03b1"
+        },
+        "\\beta": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03b2"
+        },
+        "\\gamma": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03b3"
+        },
+        "\\delta": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03b4"
+        },
+        "\\epsilon": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03f5"
+        },
+        "\\zeta": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03b6"
+        },
+        "\\eta": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03b7"
+        },
+        "\\theta": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03b8"
+        },
+        "\\iota": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03b9"
+        },
+        "\\kappa": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03ba"
+        },
+        "\\lambda": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03bb"
+        },
+        "\\mu": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03bc"
+        },
+        "\\nu": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03bd"
+        },
+        "\\xi": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03be"
+        },
+        "\\omicron": {
+            font: "main",
+            group: "mathord",
+            replace: "o"
+        },
+        "\\pi": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03c0"
+        },
+        "\\rho": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03c1"
+        },
+        "\\sigma": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03c3"
+        },
+        "\\tau": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03c4"
+        },
+        "\\upsilon": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03c5"
+        },
+        "\\phi": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03d5"
+        },
+        "\\chi": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03c7"
+        },
+        "\\psi": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03c8"
+        },
+        "\\omega": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03c9"
+        },
+        "\\varepsilon": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03b5"
+        },
+        "\\vartheta": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03d1"
+        },
+        "\\varpi": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03d6"
+        },
+        "\\varrho": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03f1"
+        },
+        "\\varsigma": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03c2"
+        },
+        "\\varphi": {
+            font: "main",
+            group: "mathord",
+            replace: "\u03c6"
+        },
+        "*": {
+            font: "main",
+            group: "bin",
+            replace: "\u2217"
+        },
+        "+": {
+            font: "main",
+            group: "bin"
+        },
+        "-": {
+            font: "main",
+            group: "bin",
+            replace: "\u2212"
+        },
+        "\\cdot": {
+            font: "main",
+            group: "bin",
+            replace: "\u22c5"
+        },
+        "\\circ": {
+            font: "main",
+            group: "bin",
+            replace: "\u2218"
+        },
+        "\\div": {
+            font: "main",
+            group: "bin",
+            replace: "\u00f7"
+        },
+        "\\pm": {
+            font: "main",
+            group: "bin",
+            replace: "\u00b1"
+        },
+        "\\times": {
+            font: "main",
+            group: "bin",
+            replace: "\u00d7"
+        },
+        "\\cap": {
+            font: "main",
+            group: "bin",
+            replace: "\u2229"
+        },
+        "\\cup": {
+            font: "main",
+            group: "bin",
+            replace: "\u222a"
+        },
+        "\\setminus": {
+            font: "main",
+            group: "bin",
+            replace: "\u2216"
+        },
+        "\\land": {
+            font: "main",
+            group: "bin",
+            replace: "\u2227"
+        },
+        "\\lor": {
+            font: "main",
+            group: "bin",
+            replace: "\u2228"
+        },
+        "\\wedge": {
+            font: "main",
+            group: "bin",
+            replace: "\u2227"
+        },
+        "\\vee": {
+            font: "main",
+            group: "bin",
+            replace: "\u2228"
+        },
+        "\\surd": {
+            font: "main",
+            group: "textord",
+            replace: "\u221a"
+        },
+        "(": {
+            font: "main",
+            group: "open"
+        },
+        "[": {
+            font: "main",
+            group: "open"
+        },
+        "\\langle": {
+            font: "main",
+            group: "open",
+            replace: "\u27e8"
+        },
+        "\\lvert": {
+            font: "main",
+            group: "open",
+            replace: "\u2223"
+        },
+        ")": {
+            font: "main",
+            group: "close"
+        },
+        "]": {
+            font: "main",
+            group: "close"
+        },
+        "?": {
+            font: "main",
+            group: "close"
+        },
+        "!": {
+            font: "main",
+            group: "close"
+        },
+        "\\rangle": {
+            font: "main",
+            group: "close",
+            replace: "\u27e9"
+        },
+        "\\rvert": {
+            font: "main",
+            group: "close",
+            replace: "\u2223"
+        },
+        "=": {
+            font: "main",
+            group: "rel"
+        },
+        "<": {
+            font: "main",
+            group: "rel"
+        },
+        ">": {
+            font: "main",
+            group: "rel"
+        },
+        ":": {
+            font: "main",
+            group: "rel"
+        },
+        "\\approx": {
+            font: "main",
+            group: "rel",
+            replace: "\u2248"
+        },
+        "\\cong": {
+            font: "main",
+            group: "rel",
+            replace: "\u2245"
+        },
+        "\\ge": {
+            font: "main",
+            group: "rel",
+            replace: "\u2265"
+        },
+        "\\geq": {
+            font: "main",
+            group: "rel",
+            replace: "\u2265"
+        },
+        "\\gets": {
+            font: "main",
+            group: "rel",
+            replace: "\u2190"
+        },
+        "\\in": {
+            font: "main",
+            group: "rel",
+            replace: "\u2208"
+        },
+        "\\notin": {
+            font: "main",
+            group: "rel",
+            replace: "\u2209"
+        },
+        "\\subset": {
+            font: "main",
+            group: "rel",
+            replace: "\u2282"
+        },
+        "\\supset": {
+            font: "main",
+            group: "rel",
+            replace: "\u2283"
+        },
+        "\\subseteq": {
+            font: "main",
+            group: "rel",
+            replace: "\u2286"
+        },
+        "\\supseteq": {
+            font: "main",
+            group: "rel",
+            replace: "\u2287"
+        },
+        "\\nsubseteq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2288"
+        },
+        "\\nsupseteq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2289"
+        },
+        "\\models": {
+            font: "main",
+            group: "rel",
+            replace: "\u22a8"
+        },
+        "\\leftarrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u2190"
+        },
+        "\\le": {
+            font: "main",
+            group: "rel",
+            replace: "\u2264"
+        },
+        "\\leq": {
+            font: "main",
+            group: "rel",
+            replace: "\u2264"
+        },
+        "\\ne": {
+            font: "main",
+            group: "rel",
+            replace: "\u2260"
+        },
+        "\\neq": {
+            font: "main",
+            group: "rel",
+            replace: "\u2260"
+        },
+        "\\rightarrow": {
+            font: "main",
+            group: "rel",
+            replace: "\u2192"
+        },
+        "\\to": {
+            font: "main",
+            group: "rel",
+            replace: "\u2192"
+        },
+        "\\ngeq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2271"
+        },
+        "\\nleq": {
+            font: "ams",
+            group: "rel",
+            replace: "\u2270"
+        },
+        "\\!": {
+            font: "main",
+            group: "spacing"
+        },
+        "\\ ": {
+            font: "main",
+            group: "spacing",
+            replace: "\u00a0"
+        },
+        "~": {
+            font: "main",
+            group: "spacing",
+            replace: "\u00a0"
+        },
+        "\\,": {
+            font: "main",
+            group: "spacing"
+        },
+        "\\:": {
+            font: "main",
+            group: "spacing"
+        },
+        "\\;": {
+            font: "main",
+            group: "spacing"
+        },
+        "\\enspace": {
+            font: "main",
+            group: "spacing"
+        },
+        "\\qquad": {
+            font: "main",
+            group: "spacing"
+        },
+        "\\quad": {
+            font: "main",
+            group: "spacing"
+        },
+        "\\space": {
+            font: "main",
+            group: "spacing",
+            replace: "\u00a0"
+        },
+        ",": {
+            font: "main",
+            group: "punct"
+        },
+        ";": {
+            font: "main",
+            group: "punct"
+        },
+        "\\colon": {
+            font: "main",
+            group: "punct",
+            replace: ":"
+        },
+        "\\barwedge": {
+            font: "ams",
+            group: "textord",
+            replace: "\u22bc"
+        },
+        "\\veebar": {
+            font: "ams",
+            group: "textord",
+            replace: "\u22bb"
+        },
+        "\\odot": {
+            font: "main",
+            group: "bin",
+            replace: "\u2299"
+        },
+        "\\oplus": {
+            font: "main",
+            group: "bin",
+            replace: "\u2295"
+        },
+        "\\otimes": {
+            font: "main",
+            group: "bin",
+            replace: "\u2297"
+        },
+        "\\partial":{
+            font: "main",
+            group: "textord",
+            replace: "\u2202"
+        },
+        "\\oslash": {
+            font: "main",
+            group: "bin",
+            replace: "\u2298"
+        },
+        "\\circledcirc": {
+            font: "ams",
+            group: "textord",
+            replace: "\u229a"
+        },
+        "\\boxdot": {
+            font: "ams",
+            group: "textord",
+            replace: "\u22a1"
+        },
+        "\\bigtriangleup": {
+            font: "main",
+            group: "bin",
+            replace: "\u25b3"
+        },
+        "\\bigtriangledown": {
+            font: "main",
+            group: "bin",
+            replace: "\u25bd"
+        },
+        "\\dagger": {
+            font: "main",
+            group: "bin",
+            replace: "\u2020"
+        },
+        "\\diamond": {
+            font: "main",
+            group: "bin",
+            replace: "\u22c4"
+        },
+        "\\star": {
+            font: "main",
+            group: "bin",
+            replace: "\u22c6"
+        },
+        "\\triangleleft": {
+            font: "main",
+            group: "bin",
+            replace: "\u25c3"
+        },
+        "\\triangleright": {
+            font: "main",
+            group: "bin",
+            replace: "\u25b9"
+        },
+        "\\{": {
+            font: "main",
+            group: "open",
+            replace: "{"
+        },
+        "\\}": {
+            font: "main",
+            group: "close",
+            replace: "}"
+        },
+        "\\lbrace": {
+            font: "main",
+            group: "open",
+            replace: "{"
+        },
+        "\\rbrace": {
+            font: "main",
+            group: "close",
+            replace: "}"
+        },
+        "\\lbrack": {
+            font: "main",
+            group: "open",
+            replace: "["
+        },
+        "\\rbrack": {
+            font: "main",
+            group: "close",
+            replace: "]"
+        },
+        "\\lfloor": {
+            font: "main",
+            group: "open",
+            replace: "\u230a"
+        },
+        "\\rfloor": {
+            font: "main",
+            group: "close",
+            replace: "\u230b"
+        },
+        "\\lceil": {
+            font: "main",
+            group: "open",
+            replace: "\u2308"
+        },
+        "\\rceil": {
+            font: "main",
+            group: "close",
+            replace: "\u2309"
+        },
+        "\\backslash": {
+            font: "main",
+            group: "textord",
+            replace: "\\"
+        },
+        "|": {
+            font: "main",
+            group: "textord",
+            replace: "\u2223"
+        },
+        "\\vert": {
+            font: "main",
+            group: "textord",
+            replace: "\u2223"
+        },
+        "\\|": {
+            font: "main",
+            group: "textord",
+            replace: "\u2225"
+        },
+        "\\Vert": {
+            font: "main",
+            group: "textord",
+            replace: "\u2225"
+        },
+        "\\uparrow": {
+            font: "main",
+            group: "textord",
+            replace: "\u2191"
+        },
+        "\\Uparrow": {
+            font: "main",
+            group: "textord",
+            replace: "\u21d1"
+        },
+        "\\downarrow": {
+            font: "main",
+            group: "textord",
+            replace: "\u2193"
+        },
+        "\\Downarrow": {
+            font: "main",
+            group: "textord",
+            replace: "\u21d3"
+        },
+        "\\updownarrow": {
+            font: "main",
+            group: "textord",
+            replace: "\u2195"
+        },
+        "\\Updownarrow": {
+            font: "main",
+            group: "textord",
+            replace: "\u21d5"
+        },
+        "\\coprod": {
+            font: "math",
+            group: "op",
+            replace: "\u2210"
+        },
+        "\\bigvee": {
+            font: "math",
+            group: "op",
+            replace: "\u22c1"
+        },
+        "\\bigwedge": {
+            font: "math",
+            group: "op",
+            replace: "\u22c0"
+        },
+        "\\biguplus": {
+            font: "math",
+            group: "op",
+            replace: "\u2a04"
+        },
+        "\\bigcap": {
+            font: "math",
+            group: "op",
+            replace: "\u22c2"
+        },
+        "\\bigcup": {
+            font: "math",
+            group: "op",
+            replace: "\u22c3"
+        },
+        "\\int": {
+            font: "math",
+            group: "op",
+            replace: "\u222b"
+        },
+        "\\intop": {
+            font: "math",
+            group: "op",
+            replace: "\u222b"
+        },
+        "\\iint": {
+            font: "math",
+            group: "op",
+            replace: "\u222c"
+        },
+        "\\iiint": {
+            font: "math",
+            group: "op",
+            replace: "\u222d"
+        },
+        "\\prod": {
+            font: "math",
+            group: "op",
+            replace: "\u220f"
+        },
+        "\\sum": {
+            font: "math",
+            group: "op",
+            replace: "\u2211"
+        },
+        "\\bigotimes": {
+            font: "math",
+            group: "op",
+            replace: "\u2a02"
+        },
+        "\\bigoplus": {
+            font: "math",
+            group: "op",
+            replace: "\u2a01"
+        },
+        "\\bigodot": {
+            font: "math",
+            group: "op",
+            replace: "\u2a00"
+        },
+        "\\oint": {
+            font: "math",
+            group: "op",
+            replace: "\u222e"
+        },
+        "\\bigsqcup": {
+            font: "math",
+            group: "op",
+            replace: "\u2a06"
+        },
+        "\\smallint": {
+            font: "math",
+            group: "op",
+            replace: "\u222b"
+        },
+        "\\ldots": {
+            font: "main",
+            group: "punct",
+            replace: "\u2026"
+        },
+        "\\cdots": {
+            font: "main",
+            group: "inner",
+            replace: "\u22ef"
+        },
+        "\\ddots": {
+            font: "main",
+            group: "inner",
+            replace: "\u22f1"
+        },
+        "\\vdots": {
+            font: "main",
+            group: "textord",
+            replace: "\u22ee"
+        },
+        "\\acute": {
+            font: "main",
+            group: "accent",
+            replace: "\u00b4"
+        },
+        "\\grave": {
+            font: "main",
+            group: "accent",
+            replace: "\u0060"
+        },
+        "\\ddot": {
+            font: "main",
+            group: "accent",
+            replace: "\u00a8"
+        },
+        "\\tilde": {
+            font: "main",
+            group: "accent",
+            replace: "\u007e"
+        },
+        "\\bar": {
+            font: "main",
+            group: "accent",
+            replace: "\u00af"
+        },
+        "\\breve": {
+            font: "main",
+            group: "accent",
+            replace: "\u02d8"
+        },
+        "\\check": {
+            font: "main",
+            group: "accent",
+            replace: "\u02c7"
+        },
+        "\\hat": {
+            font: "main",
+            group: "accent",
+            replace: "\u005e"
+        },
+        "\\vec": {
+            font: "main",
+            group: "accent",
+            replace: "\u20d7"
+        },
+        "\\dot": {
+            font: "main",
+            group: "accent",
+            replace: "\u02d9"
+        },
+
+        "\\imath": {
+            font: "main",
+            group: "mathord",
+            replace: "\u0131"
+        },
+        "\\jmath": {
+            font: "main",
+            group: "mathord",
+            replace: "\u0237"
+        }
+    },
+    "text": {
+        "\\ ": {
+            font: "main",
+            group: "spacing",
+            replace: "\u00a0"
+        },
+        " ": {
+            font: "main",
+            group: "spacing",
+            replace: "\u00a0"
+        },
+        "~": {
+            font: "main",
+            group: "spacing",
+            replace: "\u00a0"
+        }
+    }
+};
+
+// There are lots of symbols which are the same, so we add them in afterwards.
+
+// All of these are textords in math mode
+var mathTextSymbols = "0123456789/@.\"";
+for (var i = 0; i < mathTextSymbols.length; i++) {
+    var ch = mathTextSymbols.charAt(i);
+    symbols.math[ch] = {
+        font: "main",
+        group: "textord"
+    };
+}
+
+// All of these are textords in text mode
+var textSymbols = "0123456789`!@*()-=+[]'\";:?/.,";
+for (var i = 0; i < textSymbols.length; i++) {
+    var ch = textSymbols.charAt(i);
+    symbols.text[ch] = {
+        font: "main",
+        group: "textord"
+    };
+}
+
+// All of these are textords in text mode, and mathords in math mode
+var letters = "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ";
+for (var i = 0; i < letters.length; i++) {
+    var ch = letters.charAt(i);
+    symbols.math[ch] = {
+        font: "main",
+        group: "mathord"
+    };
+    symbols.text[ch] = {
+        font: "main",
+        group: "textord"
+    };
+}
+
+module.exports = symbols;
+
+},{}],22:[function(require,module,exports){
+/**
+ * This file contains a list of utility functions which are useful in other
+ * files.
+ */
+
+/**
+ * Provide an `indexOf` function which works in IE8, but defers to native if
+ * possible.
+ */
+var nativeIndexOf = Array.prototype.indexOf;
+var indexOf = function(list, elem) {
+    if (list == null) {
+        return -1;
+    }
+    if (nativeIndexOf && list.indexOf === nativeIndexOf) {
+        return list.indexOf(elem);
+    }
+    var i = 0, l = list.length;
+    for (; i < l; i++) {
+        if (list[i] === elem) {
+            return i;
+        }
+    }
+    return -1;
+};
+
+/**
+ * Return whether an element is contained in a list
+ */
+var contains = function(list, elem) {
+    return indexOf(list, elem) !== -1;
+};
+
+/**
+ * Provide a default value if a setting is undefined
+ */
+var deflt = function(setting, defaultIfUndefined) {
+    return setting === undefined ? defaultIfUndefined : setting;
+};
+
+// hyphenate and escape adapted from Facebook's React under Apache 2 license
+
+var uppercase = /([A-Z])/g;
+var hyphenate = function(str) {
+    return str.replace(uppercase, "-$1").toLowerCase();
+};
+
+var ESCAPE_LOOKUP = {
+  "&": "&amp;",
+  ">": "&gt;",
+  "<": "&lt;",
+  "\"": "&quot;",
+  "'": "&#x27;"
+};
+
+var ESCAPE_REGEX = /[&><"']/g;
+
+function escaper(match) {
+  return ESCAPE_LOOKUP[match];
+}
+
+/**
+ * Escapes text to prevent scripting attacks.
+ *
+ * @param {*} text Text value to escape.
+ * @return {string} An escaped string.
+ */
+function escape(text) {
+  return ("" + text).replace(ESCAPE_REGEX, escaper);
+}
+
+/**
+ * A function to set the text content of a DOM element in all supported
+ * browsers. Note that we don't define this if there is no document.
+ */
+var setTextContent;
+if (typeof document !== "undefined") {
+    var testNode = document.createElement("span");
+    if ("textContent" in testNode) {
+        setTextContent = function(node, text) {
+            node.textContent = text;
+        };
+    } else {
+        setTextContent = function(node, text) {
+            node.innerText = text;
+        };
+    }
+}
+
+/**
+ * A function to clear a node.
+ */
+function clearNode(node) {
+    setTextContent(node, "");
+}
+
+module.exports = {
+    contains: contains,
+    deflt: deflt,
+    escape: escape,
+    hyphenate: hyphenate,
+    indexOf: indexOf,
+    setTextContent: setTextContent,
+    clearNode: clearNode
+};
+
+},{}]},{},[1])
+(1)
+});
+;
\ No newline at end of file