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diff --git a/webapp/non_npm_dependencies/katex/src/mathMLTree.js b/webapp/non_npm_dependencies/katex/src/mathMLTree.js
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+/**
+ * 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,
+};