/* -*- Mode: Javascript; indent-tabs-mode:nil; js-indent-level: 2 -*- */
/* vim: set ts=2 et sw=2 tw=80: */

/*************************************************************
 *
 *  MathJax/jax/element/mml/jax.js
 *  
 *  Implements the MML ElementJax that holds the internal represetation
 *  of the mathematics on the page.  Various InputJax will produce this
 *  format, and the OutputJax will display it in various formats.
 *
 *  ---------------------------------------------------------------------
 *  
 *  Copyright (c) 2009-2017 The MathJax Consortium
 * 
 *  Licensed under the Apache License, Version 2.0 (the "License");
 *  you may not use this file except in compliance with the License.
 *  You may obtain a copy of the License at
 * 
 *      http://www.apache.org/licenses/LICENSE-2.0
 * 
 *  Unless required by applicable law or agreed to in writing, software
 *  distributed under the License is distributed on an "AS IS" BASIS,
 *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 *  See the License for the specific language governing permissions and
 *  limitations under the License.
 */

MathJax.ElementJax.mml = MathJax.ElementJax({
  mimeType: "jax/mml"
},{
  id: "mml",
  version: "2.7.1",
  directory: MathJax.ElementJax.directory + "/mml",
  extensionDir: MathJax.ElementJax.extensionDir + "/mml",
  optableDir: MathJax.ElementJax.directory + "/mml/optable"
});

MathJax.ElementJax.mml.Augment({
  Init: function () {
    if (arguments.length === 1 && arguments[0].type === "math") {this.root = arguments[0]}
      else {this.root = MathJax.ElementJax.mml.math.apply(this,arguments)}
    if (this.root.attr && this.root.attr.mode) {
      if (!this.root.display && this.root.attr.mode === "display") {
        this.root.display = "block";
        this.root.attrNames.push("display");
      }
      delete this.root.attr.mode;
      for (var i = 0, m = this.root.attrNames.length; i < m; i++) {
        if (this.root.attrNames[i] === "mode") {this.root.attrNames.splice(i,1); break}
      }
    }
  }
},{
  INHERIT: "_inherit_",
  AUTO: "_auto_",
  SIZE: {
    INFINITY: "infinity",
    SMALL: "small",
    NORMAL: "normal",
    BIG: "big"
  },
  COLOR: {
    TRANSPARENT: "transparent"
  },
  VARIANT: {
    NORMAL: "normal",
    BOLD: "bold",
    ITALIC: "italic",
    BOLDITALIC: "bold-italic",
    DOUBLESTRUCK: "double-struck",
    FRAKTUR: "fraktur",
    BOLDFRAKTUR: "bold-fraktur",
    SCRIPT: "script",
    BOLDSCRIPT: "bold-script",
    SANSSERIF: "sans-serif",
    BOLDSANSSERIF: "bold-sans-serif",
    SANSSERIFITALIC: "sans-serif-italic",
    SANSSERIFBOLDITALIC: "sans-serif-bold-italic",
    MONOSPACE: "monospace",
    INITIAL: "inital",
    TAILED: "tailed",
    LOOPED: "looped",
    STRETCHED: "stretched",
    CALIGRAPHIC: "-tex-caligraphic",
    OLDSTYLE: "-tex-oldstyle"
  },
  FORM: {
    PREFIX: "prefix",
    INFIX: "infix",
    POSTFIX: "postfix"
  },
  LINEBREAK: {
    AUTO: "auto",
    NEWLINE: "newline",
    NOBREAK: "nobreak",
    GOODBREAK: "goodbreak",
    BADBREAK: "badbreak"
  },
  LINEBREAKSTYLE: {
    BEFORE: "before",
    AFTER: "after",
    DUPLICATE: "duplicate",
    INFIXLINBREAKSTYLE: "infixlinebreakstyle"
  },
  INDENTALIGN: {
    LEFT: "left",
    CENTER: "center",
    RIGHT: "right",
    AUTO: "auto",
    ID: "id",
    INDENTALIGN: "indentalign"
  },
  INDENTSHIFT: {
    INDENTSHIFT: "indentshift"
  },
  LINETHICKNESS: {
    THIN: "thin",
    MEDIUM: "medium",
    THICK: "thick"
  },
  NOTATION: {
    LONGDIV: "longdiv",
    ACTUARIAL: "actuarial",
    RADICAL: "radical",
    BOX: "box",
    ROUNDEDBOX: "roundedbox",
    CIRCLE: "circle",
    LEFT: "left",
    RIGHT: "right",
    TOP: "top",
    BOTTOM: "bottom",
    UPDIAGONALSTRIKE: "updiagonalstrike",
    DOWNDIAGONALSTRIKE: "downdiagonalstrike",
    UPDIAGONALARROW: "updiagonalarrow",
    VERTICALSTRIKE: "verticalstrike",
    HORIZONTALSTRIKE: "horizontalstrike",
    PHASORANGLE: "phasorangle",
    MADRUWB: "madruwb"
  },
  ALIGN: {
    TOP: "top",
    BOTTOM: "bottom",
    CENTER: "center",
    BASELINE: "baseline",
    AXIS: "axis",
    LEFT: "left",
    RIGHT: "right"
  },
  LINES: {
    NONE: "none",
    SOLID: "solid",
    DASHED: "dashed"
  },
  SIDE: {
    LEFT: "left",
    RIGHT: "right",
    LEFTOVERLAP: "leftoverlap",
    RIGHTOVERLAP: "rightoverlap"
  },
  WIDTH: {
    AUTO: "auto",
    FIT: "fit"
  },
  ACTIONTYPE: {
    TOGGLE: "toggle",
    STATUSLINE: "statusline",
    TOOLTIP: "tooltip",
    INPUT: "input"
  },
  LENGTH: {
    VERYVERYTHINMATHSPACE: "veryverythinmathspace",
    VERYTHINMATHSPACE: "verythinmathspace",
    THINMATHSPACE: "thinmathspace",
    MEDIUMMATHSPACE: "mediummathspace",
    THICKMATHSPACE: "thickmathspace",
    VERYTHICKMATHSPACE: "verythickmathspace",
    VERYVERYTHICKMATHSPACE: "veryverythickmathspace",
    NEGATIVEVERYVERYTHINMATHSPACE: "negativeveryverythinmathspace",
    NEGATIVEVERYTHINMATHSPACE: "negativeverythinmathspace",
    NEGATIVETHINMATHSPACE: "negativethinmathspace",
    NEGATIVEMEDIUMMATHSPACE: "negativemediummathspace",
    NEGATIVETHICKMATHSPACE: "negativethickmathspace",
    NEGATIVEVERYTHICKMATHSPACE: "negativeverythickmathspace",
    NEGATIVEVERYVERYTHICKMATHSPACE: "negativeveryverythickmathspace"
  },
  OVERFLOW: {
    LINBREAK: "linebreak",
    SCROLL: "scroll",
    ELIDE: "elide",
    TRUNCATE: "truncate",
    SCALE: "scale"
  },
  UNIT: {
    EM: "em",
    EX: "ex",
    PX: "px",
    IN: "in",
    CM: "cm",
    MM: "mm",
    PT: "pt",
    PC: "pc"
  },
  TEXCLASS: {
    ORD:   0,
    OP:    1,
    BIN:   2,
    REL:   3,
    OPEN:  4,
    CLOSE: 5,
    PUNCT: 6,
    INNER: 7,
    VCENTER: 8,
    NONE:   -1
  },
  TEXCLASSNAMES: ["ORD", "OP", "BIN", "REL", "OPEN", "CLOSE", "PUNCT", "INNER", "VCENTER"],
  skipAttributes: {
    texClass:true, useHeight:true, texprimestyle:true
  },
  copyAttributes: {
    displaystyle:1, scriptlevel:1, open:1, close:1, form:1,
    actiontype: 1,
    fontfamily:true, fontsize:true, fontweight:true, fontstyle:true,
    color:true, background:true,
    id:true, "class":1, href:true, style:true
  },
  copyAttributeNames: [
    "displaystyle", "scriptlevel", "open", "close", "form",  // force these to be copied
    "actiontype",
    "fontfamily", "fontsize", "fontweight", "fontstyle",
    "color", "background",
    "id", "class", "href", "style"
  ],
  nocopyAttributes: {
    fontfamily: true, fontsize: true, fontweight: true, fontstyle: true,
    color: true, background: true,
    id: true, 'class': true, href: true, style: true,
    xmlns: true
  },
  Error: function (message,def) {
    var mml = this.merror(message),
        dir = MathJax.Localization.fontDirection(),
        font = MathJax.Localization.fontFamily();
    if (def) {mml = mml.With(def)}
    if (dir || font) {
      mml = this.mstyle(mml);
      if (dir) {mml.dir = dir}
      if (font) {mml.style.fontFamily = "font-family: "+font}
    }
    return mml;
  }
});

(function (MML) {

  MML.mbase = MathJax.Object.Subclass({
    type: "base", isToken: false,
    defaults: {
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      dir: MML.INHERIT
    },
    noInherit: {},
    noInheritAttribute: {
      texClass: true
    },
    getRemoved: {},
    linebreakContainer: false,
    
    Init: function () {
      this.data = [];
      if (this.inferRow && !(arguments.length === 1 && arguments[0].inferred))
        {this.Append(MML.mrow().With({inferred: true, notParent: true}))}
      this.Append.apply(this,arguments);
    },
    With: function (def) {
      for (var id in def) {if (def.hasOwnProperty(id)) {this[id] = def[id]}}
      return this;
    },
    Append: function () {
      if (this.inferRow && this.data.length) {
        this.data[0].Append.apply(this.data[0],arguments);
      } else {
        for (var i = 0, m = arguments.length; i < m; i++)
          {this.SetData(this.data.length,arguments[i])}
      }
    },
    SetData: function (i,item) {
      if (item != null) {
        if (!(item instanceof MML.mbase))
          {item = (this.isToken || this.isChars ? MML.chars(item) : MML.mtext(item))}
        item.parent = this;
        item.setInherit(this.inheritFromMe ? this : this.inherit);
      }
      this.data[i] = item;
    },
    Parent: function () {
      var parent = this.parent;
      while (parent && parent.notParent) {parent = parent.parent}
      return parent;
    },
    Get: function (name,nodefault,noself) {
      if (!noself) {
        if (this[name] != null) {return this[name]}
        if (this.attr && this.attr[name] != null) {return this.attr[name]}
      }
      // FIXME: should cache these values and get from cache
      // (clear cache when appended to a new object?)
      var parent = this.Parent();
      if (parent && parent["adjustChild_"+name] != null) {
        return (parent["adjustChild_"+name])(this.childPosition(),nodefault);
      }
      var obj = this.inherit; var root = obj;
      while (obj) {
        var value = obj[name]; if (value == null && obj.attr) {value = obj.attr[name]}
        if (obj.removedStyles && obj.getRemoved[name] && value == null) value = obj.removedStyles[obj.getRemoved[name]];
        if (value != null && obj.noInheritAttribute && !obj.noInheritAttribute[name]) {
          var noInherit = obj.noInherit[this.type];
          if (!(noInherit && noInherit[name])) {return value}
        }
        root = obj; obj = obj.inherit;
      }
      if (!nodefault) {
        if (this.defaults[name] === MML.AUTO) {return this.autoDefault(name)}
        if (this.defaults[name] !== MML.INHERIT && this.defaults[name] != null)
          {return this.defaults[name]}
        if (root) {return root.defaults[name]}
      }
      return null;
    },
    hasValue: function (name) {return (this.Get(name,true) != null)},
    getValues: function () {
      var values = {};
      for (var i = 0, m = arguments.length; i < m; i++)
        {values[arguments[i]] = this.Get(arguments[i])}
      return values;
    },
    adjustChild_scriptlevel:   function (i,nodef) {return this.Get("scriptlevel",nodef)},   // always inherit from parent
    adjustChild_displaystyle:  function (i,nodef) {return this.Get("displaystyle",nodef)},  // always inherit from parent
    adjustChild_texprimestyle: function (i,nodef) {return this.Get("texprimestyle",nodef)}, // always inherit from parent
    childPosition: function () {
      var child = this, parent = child.parent;
      while (parent.notParent) {child = parent; parent = child.parent}
      for (var i = 0, m = parent.data.length; i < m; i++) {if (parent.data[i] === child) {return i}}
      return null;
    },
    setInherit: function (obj) {
      if (obj !== this.inherit && this.inherit == null) {
        this.inherit = obj;
        for (var i = 0, m = this.data.length; i < m; i++) {
          if (this.data[i] && this.data[i].setInherit) {this.data[i].setInherit(obj)}
        }
      }
    },
    setTeXclass: function (prev) {
      this.getPrevClass(prev);
      return (typeof(this.texClass) !== "undefined" ? this : prev);
    },
    getPrevClass: function (prev) {
      if (prev) {
        this.prevClass = prev.Get("texClass");
        this.prevLevel = prev.Get("scriptlevel");
      }
    },
    updateTeXclass: function (core) {
      if (core) {
        this.prevClass = core.prevClass; delete core.prevClass;
        this.prevLevel = core.prevLevel; delete core.prevLevel;
        this.texClass = core.Get("texClass");
      }
    },
    texSpacing: function () {
      var prev = (this.prevClass != null ? this.prevClass : MML.TEXCLASS.NONE);
      var tex = (this.Get("texClass") || MML.TEXCLASS.ORD);
      if (prev === MML.TEXCLASS.NONE || tex === MML.TEXCLASS.NONE) {return ""}
      if (prev === MML.TEXCLASS.VCENTER) {prev = MML.TEXCLASS.ORD}
      if (tex  === MML.TEXCLASS.VCENTER) {tex  = MML.TEXCLASS.ORD}
      var space = this.TEXSPACE[prev][tex];
      if ((this.prevLevel > 0 || this.Get("scriptlevel") > 0) && space >= 0) {return ""}
      return this.TEXSPACELENGTH[Math.abs(space)];
    },
    TEXSPACELENGTH:[
      "",
      MML.LENGTH.THINMATHSPACE,
      MML.LENGTH.MEDIUMMATHSPACE,
      MML.LENGTH.THICKMATHSPACE
    ],
    // See TeXBook Chapter 18 (p. 170)
    TEXSPACE: [
      [ 0,-1, 2, 3, 0, 0, 0, 1], // ORD
      [-1,-1, 0, 3, 0, 0, 0, 1], // OP
      [ 2, 2, 0, 0, 2, 0, 0, 2], // BIN
      [ 3, 3, 0, 0, 3, 0, 0, 3], // REL
      [ 0, 0, 0, 0, 0, 0, 0, 0], // OPEN
      [ 0,-1, 2, 3, 0, 0, 0, 1], // CLOSE
      [ 1, 1, 0, 1, 1, 1, 1, 1], // PUNCT
      [ 1,-1, 2, 3, 1, 0, 1, 1]  // INNER
    ],
    autoDefault: function (name) {return ""},
    isSpacelike: function () {return false},
    isEmbellished: function () {return false},
    Core: function () {return this},
    CoreMO: function () {return this},
    childIndex: function(child) {
      if (child == null) return;
      for (var i = 0, m = this.data.length; i < m; i++) if (child === this.data[i]) return i;
    },
    CoreIndex: function () {
      return (this.inferRow ? this.data[0]||this : this).childIndex(this.Core());
    },
    hasNewline: function () {
      if (this.isEmbellished()) {return this.CoreMO().hasNewline()}
      if (this.isToken || this.linebreakContainer) {return false}
      for (var i = 0, m = this.data.length; i < m; i++) {
        if (this.data[i] && this.data[i].hasNewline()) {return true}
      }
      return false;
    },
    array: function () {if (this.inferred) {return this.data} else {return [this]}},
    toString: function () {return this.type+"("+this.data.join(",")+")"},
    getAnnotation: function () {return null}
  },{
    childrenSpacelike: function () {
      for (var i = 0, m = this.data.length; i < m; i++)
        {if (!this.data[i].isSpacelike()) {return false}}
      return true;
    },
    childEmbellished: function () {
      return (this.data[0] && this.data[0].isEmbellished());
    },
    childCore: function () {return (this.inferRow && this.data[0] ? this.data[0].Core() : this.data[0])},
    childCoreMO: function () {return (this.data[0] ? this.data[0].CoreMO() : null)},
    setChildTeXclass: function (prev) {
      if (this.data[0]) {
        prev = this.data[0].setTeXclass(prev);
        this.updateTeXclass(this.data[0]);
      }
      return prev;
    },
    setBaseTeXclasses: function (prev) {
      this.getPrevClass(prev); this.texClass = null;
      if (this.data[0]) {
        if (this.isEmbellished() || this.data[0].isa(MML.mi)) {
          prev = this.data[0].setTeXclass(prev);
          this.updateTeXclass(this.Core());
        } else {this.data[0].setTeXclass(); prev = this}
      } else {prev = this}
      for (var i = 1, m = this.data.length; i < m; i++)
        {if (this.data[i]) {this.data[i].setTeXclass()}}
      return prev;
    },
    setSeparateTeXclasses: function (prev) {
      this.getPrevClass(prev);
      for (var i = 0, m = this.data.length; i < m; i++)
        {if (this.data[i]) {this.data[i].setTeXclass()}}
      if (this.isEmbellished()) {this.updateTeXclass(this.Core())}
      return this;
    }
  });
  
  MML.mi = MML.mbase.Subclass({
    type: "mi", isToken: true,
    texClass: MML.TEXCLASS.ORD,
    defaults: {
      mathvariant: MML.AUTO,
      mathsize: MML.INHERIT,
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      dir: MML.INHERIT
    },
    autoDefault: function (name) {
      if (name === "mathvariant") {
        var mi = (this.data[0]||"").toString();
        return (mi.length === 1 ||
               (mi.length === 2 && mi.charCodeAt(0) >= 0xD800 && mi.charCodeAt(0) < 0xDC00) ?
                  MML.VARIANT.ITALIC : MML.VARIANT.NORMAL);
      }
      return "";
    },
    setTeXclass: function (prev) {
      this.getPrevClass(prev);
      var name = this.data.join("");
      if (name.length > 1 && name.match(/^[a-z][a-z0-9]*$/i) &&
          this.texClass === MML.TEXCLASS.ORD) {
        this.texClass = MML.TEXCLASS.OP;
        this.autoOP = true;
      }
      return this;
    }
  });
  
  MML.mn = MML.mbase.Subclass({
    type: "mn", isToken: true,
    texClass: MML.TEXCLASS.ORD,
    defaults: {
      mathvariant: MML.INHERIT,
      mathsize: MML.INHERIT,
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      dir: MML.INHERIT
    }
  });
  
  MML.mo = MML.mbase.Subclass({
    type: "mo", isToken: true,
    defaults: {
      mathvariant: MML.INHERIT,
      mathsize: MML.INHERIT,
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      dir: MML.INHERIT,
      form: MML.AUTO,
      fence: MML.AUTO,
      separator: MML.AUTO,
      lspace: MML.AUTO,
      rspace: MML.AUTO,
      stretchy: MML.AUTO,
      symmetric: MML.AUTO,
      maxsize: MML.AUTO,
      minsize: MML.AUTO,
      largeop: MML.AUTO,
      movablelimits: MML.AUTO,
      accent: MML.AUTO,
      linebreak: MML.LINEBREAK.AUTO,
      lineleading: MML.INHERIT,
      linebreakstyle: MML.AUTO,
      linebreakmultchar: MML.INHERIT,
      indentalign: MML.INHERIT,
      indentshift: MML.INHERIT,
      indenttarget: MML.INHERIT,
      indentalignfirst: MML.INHERIT,
      indentshiftfirst: MML.INHERIT,
      indentalignlast: MML.INHERIT,
      indentshiftlast: MML.INHERIT,
      texClass: MML.AUTO
    },
    defaultDef: {
      form: MML.FORM.INFIX,
      fence: false,
      separator: false,
      lspace: MML.LENGTH.THICKMATHSPACE,
      rspace: MML.LENGTH.THICKMATHSPACE,
      stretchy: false,
      symmetric: false,
      maxsize: MML.SIZE.INFINITY,
      minsize: '0em', //'1em',
      largeop: false,
      movablelimits: false,
      accent: false,
      linebreak: MML.LINEBREAK.AUTO,
      lineleading: "1ex",
      linebreakstyle: "before",
      indentalign: MML.INDENTALIGN.AUTO,
      indentshift: "0",
      indenttarget: "",
      indentalignfirst: MML.INDENTALIGN.INDENTALIGN,
      indentshiftfirst: MML.INDENTSHIFT.INDENTSHIFT,
      indentalignlast: MML.INDENTALIGN.INDENTALIGN,
      indentshiftlast: MML.INDENTSHIFT.INDENTSHIFT,
      texClass: MML.TEXCLASS.REL // for MML, but TeX sets ORD explicitly
    },
    SPACE_ATTR: {lspace: 0x01, rspace: 0x02, form: 0x04},
    useMMLspacing: 0x07,
    autoDefault: function (name,nodefault) {
      var def = this.def;
      if (!def) {
        if (name === "form") {this.useMMLspacing &= ~this.SPACE_ATTR.form; return this.getForm()}
        var mo = this.data.join("");
        var forms = [this.Get("form"),MML.FORM.INFIX,MML.FORM.POSTFIX,MML.FORM.PREFIX];
        for (var i = 0, m = forms.length; i < m; i++) {
          var data = this.OPTABLE[forms[i]][mo];
          if (data) {def = this.makeDef(data); break}
        }
        if (!def) {def = this.CheckRange(mo)}
        if (!def && nodefault) {def = {}} else {
          if (!def) {def = MathJax.Hub.Insert({},this.defaultDef)}
          if (this.parent) {this.def = def} else {def = MathJax.Hub.Insert({},def)}
          def.form = forms[0];
        }
      }
      this.useMMLspacing &= ~(this.SPACE_ATTR[name] || 0);
      if (def[name] != null) {return def[name]}
      else if (!nodefault) {return this.defaultDef[name]}
      return "";
    },
    CheckRange: function (mo) {
      var n = mo.charCodeAt(0);
      if (n >= 0xD800 && n < 0xDC00) {n = (((n-0xD800)<<10)+(mo.charCodeAt(1)-0xDC00))+0x10000}
      for (var i = 0, m = this.RANGES.length; i < m && this.RANGES[i][0] <= n; i++) {
        if (n <= this.RANGES[i][1]) {
          if (this.RANGES[i][3]) {
            var file = MML.optableDir+"/"+this.RANGES[i][3]+".js";
            this.RANGES[i][3] = null;
            MathJax.Hub.RestartAfter(MathJax.Ajax.Require(file));
          }
          var data = MML.TEXCLASSNAMES[this.RANGES[i][2]];
          data = this.OPTABLE.infix[mo] = MML.mo.OPTYPES[data === "BIN" ? "BIN3" : data];
          return this.makeDef(data);
        }
      }
      return null;
    },
    makeDef: function (data) {
      if (data[2] == null) {data[2] = this.defaultDef.texClass}
      if (!data[3]) {data[3] = {}}
      var def = MathJax.Hub.Insert({},data[3]);
      def.lspace = this.SPACE[data[0]]; def.rspace = this.SPACE[data[1]];
      def.texClass = data[2];
      if (def.texClass === MML.TEXCLASS.REL &&
         (this.movablelimits || this.data.join("").match(/^[a-z]+$/i)))
             {def.texClass = MML.TEXCLASS.OP} // mark named operators as OP
      return def;
    },
    getForm: function () {
      var core = this, parent = this.parent, Parent = this.Parent();
      while (Parent && Parent.isEmbellished())
        {core = parent; parent = Parent.parent; Parent = Parent.Parent()}
      if (parent && parent.type === "mrow" && parent.NonSpaceLength() !== 1) {
        if (parent.FirstNonSpace() === core) {return MML.FORM.PREFIX}
        if (parent.LastNonSpace() === core) {return MML.FORM.POSTFIX}
      }
      return MML.FORM.INFIX;
    },
    isEmbellished: function () {return true},
    hasNewline: function () {return (this.Get("linebreak") === MML.LINEBREAK.NEWLINE)},
    CoreParent: function () {
      var parent = this;
      while (parent && parent.isEmbellished() &&
             parent.CoreMO() === this && !parent.isa(MML.math)) {parent = parent.Parent()}
      return parent;
    },
    CoreText: function (parent) {
      if (!parent) {return ""}
      if (parent.isEmbellished()) {return parent.CoreMO().data.join("")}
      while ((((parent.isa(MML.mrow) || parent.isa(MML.TeXAtom) ||
                parent.isa(MML.mstyle) || parent.isa(MML.mphantom)) &&
                parent.data.length === 1) || parent.isa(MML.munderover)) &&
                parent.data[0]) {parent = parent.data[0]}
      if (!parent.isToken) {return ""} else {return parent.data.join("")}
    },
    remapChars: {
      '*':"\u2217",
      '"':"\u2033",
      "\u00B0":"\u2218",
      "\u00B2":"2",
      "\u00B3":"3",
      "\u00B4":"\u2032",
      "\u00B9":"1"
    },
    remap: function (text,map) {
      text = text.replace(/-/g,"\u2212");
      if (map) {
        text = text.replace(/'/g,"\u2032").replace(/`/g,"\u2035");
        if (text.length === 1) {text = map[text]||text}
      }
      return text;
    },
    setTeXclass: function (prev) {
      var values = this.getValues("form","lspace","rspace","fence"); // sets useMMLspacing
      if (this.useMMLspacing) {this.texClass = MML.TEXCLASS.NONE; return this}
      if (values.fence && !this.texClass) {
        if (values.form === MML.FORM.PREFIX) {this.texClass = MML.TEXCLASS.OPEN}
        if (values.form === MML.FORM.POSTFIX) {this.texClass = MML.TEXCLASS.CLOSE}
      }
      this.texClass = this.Get("texClass");
      if (this.data.join("") === "\u2061") {
        // force previous node to be texClass OP, and skip this node
        if (prev) {prev.texClass = MML.TEXCLASS.OP; prev.fnOP = true}
        this.texClass = this.prevClass = MML.TEXCLASS.NONE;
        return prev;
      }
      return this.adjustTeXclass(prev);
    },
    adjustTeXclass: function (prev) {
      if (this.texClass === MML.TEXCLASS.NONE) {return prev}
      if (prev) {
        if (prev.autoOP && (this.texClass === MML.TEXCLASS.BIN ||
                            this.texClass === MML.TEXCLASS.REL))
          {prev.texClass = MML.TEXCLASS.ORD}
        this.prevClass = prev.texClass || MML.TEXCLASS.ORD;
        this.prevLevel = prev.Get("scriptlevel")
      } else {this.prevClass = MML.TEXCLASS.NONE}
      if (this.texClass === MML.TEXCLASS.BIN &&
            (this.prevClass === MML.TEXCLASS.NONE ||
             this.prevClass === MML.TEXCLASS.BIN ||
             this.prevClass === MML.TEXCLASS.OP ||
             this.prevClass === MML.TEXCLASS.REL ||
             this.prevClass === MML.TEXCLASS.OPEN ||
             this.prevClass === MML.TEXCLASS.PUNCT)) {
        this.texClass = MML.TEXCLASS.ORD;
      } else if (this.prevClass === MML.TEXCLASS.BIN &&
                   (this.texClass === MML.TEXCLASS.REL ||
                    this.texClass === MML.TEXCLASS.CLOSE ||
                    this.texClass === MML.TEXCLASS.PUNCT)) {
        prev.texClass = this.prevClass = MML.TEXCLASS.ORD;
      } else if (this.texClass === MML.TEXCLASS.BIN) {
        //
        // Check if node is the last one in its container since the rule
        // above only takes effect if there is a node that follows.
        //
        var child = this, parent = this.parent;
        while (parent && parent.parent && parent.isEmbellished() &&
              (parent.data.length === 1 ||
              (parent.type !== "mrow" && parent.Core() === child))) // handles msubsup and munderover
                 {child = parent; parent = parent.parent}
        if (parent.data[parent.data.length-1] === child) this.texClass = MML.TEXCLASS.ORD;
      }
      return this;
    }
  });
  
  MML.mtext = MML.mbase.Subclass({
    type: "mtext", isToken: true,
    isSpacelike: function () {return true},
    texClass: MML.TEXCLASS.ORD,
    defaults: {
      mathvariant: MML.INHERIT,
      mathsize: MML.INHERIT,
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      dir: MML.INHERIT
    }
  });

  MML.mspace = MML.mbase.Subclass({
    type: "mspace", isToken: true,
    isSpacelike: function () {return true},
    defaults: {
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      width: "0em",
      height: "0ex",
      depth: "0ex",
      linebreak: MML.LINEBREAK.AUTO
    },
    hasDimAttr: function () {
      return (this.hasValue("width") || this.hasValue("height") ||
              this.hasValue("depth"));
    },
    hasNewline: function () {
      // The MathML spec says that the linebreak attribute should be ignored
      // if any dimensional attribute is set.
      return (!this.hasDimAttr() &&
              this.Get("linebreak") === MML.LINEBREAK.NEWLINE);
    }
  });

  MML.ms = MML.mbase.Subclass({
    type: "ms", isToken: true,
    texClass: MML.TEXCLASS.ORD,
    defaults: {
      mathvariant: MML.INHERIT,
      mathsize: MML.INHERIT,
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      dir: MML.INHERIT,
      lquote: '"',
      rquote: '"'
    }
  });

  MML.mglyph = MML.mbase.Subclass({
    type: "mglyph", isToken: true,
    texClass: MML.TEXCLASS.ORD,
    defaults: {
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      alt: "",
      src: "",
      width: MML.AUTO,
      height: MML.AUTO,
      valign: "0em"
    }
  });

  MML.mrow = MML.mbase.Subclass({
    type: "mrow",
    isSpacelike: MML.mbase.childrenSpacelike,
    inferred: false, notParent: false,
    isEmbellished: function () {
      var isEmbellished = false;
      for (var i = 0, m = this.data.length; i < m; i++) {
        if (this.data[i] == null) continue;
        if (this.data[i].isEmbellished()) {
          if (isEmbellished) {return false}
          isEmbellished = true; this.core = i;
        } else if (!this.data[i].isSpacelike()) {return false}
      }
      return isEmbellished;
    },
    NonSpaceLength: function () {
      var n = 0;
      for (var i = 0, m = this.data.length; i < m; i++)
        {if (this.data[i] && !this.data[i].isSpacelike()) {n++}}
      return n;
    },
    FirstNonSpace: function () {
      for (var i = 0, m = this.data.length; i < m; i++)
        {if (this.data[i] && !this.data[i].isSpacelike()) {return this.data[i]}}
      return null;
    },
    LastNonSpace: function () {
      for (var i = this.data.length-1; i >= 0; i--)
        {if (this.data[0] && !this.data[i].isSpacelike()) {return this.data[i]}}
      return null;
    },
    Core: function () {
      if (!(this.isEmbellished()) || typeof(this.core) === "undefined") {return this}
      return this.data[this.core];
    },
    CoreMO: function () {
      if (!(this.isEmbellished()) || typeof(this.core) === "undefined") {return this}
      return this.data[this.core].CoreMO();
    },
    toString: function () {
      if (this.inferred) {return '[' + this.data.join(',') + ']'}
      return this.SUPER(arguments).toString.call(this);
    },
    setTeXclass: function (prev) {
      var i, m = this.data.length;
      if ((this.open || this.close) && (!prev || !prev.fnOP)) {
        //
        // <mrow> came from \left...\right
        // so treat as subexpression (tex class INNER)
        //
        this.getPrevClass(prev); prev = null;
        for (i = 0; i < m; i++)
          {if (this.data[i]) {prev = this.data[i].setTeXclass(prev)}}
        if (!this.hasOwnProperty("texClass")) this.texClass = MML.TEXCLASS.INNER;
        return this;
      } else {
        //
        //  Normal <mrow>, so treat as
        //  thorugh mrow is not there
        //
        for (i = 0; i < m; i++)
          {if (this.data[i]) {prev = this.data[i].setTeXclass(prev)}}
        if (this.data[0]) {this.updateTeXclass(this.data[0])}
        return prev;
      }
    },
    getAnnotation: function (name) {
      if (this.data.length != 1) return null;
      return this.data[0].getAnnotation(name);
    }
  });

  MML.mfrac = MML.mbase.Subclass({
    type: "mfrac", num: 0, den: 1,
    linebreakContainer: true,
    isEmbellished: MML.mbase.childEmbellished,
    Core: MML.mbase.childCore,
    CoreMO: MML.mbase.childCoreMO,
    defaults: {
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      linethickness: MML.LINETHICKNESS.MEDIUM,
      numalign: MML.ALIGN.CENTER,
      denomalign: MML.ALIGN.CENTER,
      bevelled: false
    },
    adjustChild_displaystyle: function (n) {return false},
    adjustChild_scriptlevel: function (n) {
      var level = this.Get("scriptlevel");
      if (!this.Get("displaystyle") || level > 0) {level++}
      return level;
    },
    adjustChild_texprimestyle: function (n) {
      if (n == this.den) {return true}
      return this.Get("texprimestyle");
    },
    setTeXclass: MML.mbase.setSeparateTeXclasses
  });

  MML.msqrt = MML.mbase.Subclass({
    type: "msqrt",
    inferRow: true,
    linebreakContainer: true,
    texClass: MML.TEXCLASS.ORD,
    setTeXclass: MML.mbase.setSeparateTeXclasses,
    adjustChild_texprimestyle: function (n) {return true}
  });

  MML.mroot = MML.mbase.Subclass({
    type: "mroot",
    linebreakContainer: true,
    texClass: MML.TEXCLASS.ORD,
    adjustChild_displaystyle: function (n) {
      if (n === 1) {return false}
      return this.Get("displaystyle");
    },
    adjustChild_scriptlevel: function (n) {
      var level = this.Get("scriptlevel");
      if (n === 1) {level += 2}
      return level;
    },
    adjustChild_texprimestyle: function (n) {
      if (n === 0) {return true};
      return this.Get("texprimestyle");
    },
    setTeXclass: MML.mbase.setSeparateTeXclasses
  });

  MML.mstyle = MML.mbase.Subclass({
    type: "mstyle",
    isSpacelike: MML.mbase.childrenSpacelike,
    isEmbellished: MML.mbase.childEmbellished,
    Core: MML.mbase.childCore,
    CoreMO: MML.mbase.childCoreMO,
    inferRow: true,
    defaults: {
      scriptlevel: MML.INHERIT,
      displaystyle: MML.INHERIT,
      scriptsizemultiplier: Math.sqrt(1/2),
      scriptminsize: "8pt",
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      dir: MML.INHERIT,
      infixlinebreakstyle: MML.LINEBREAKSTYLE.BEFORE,
      decimalseparator: "."
    },
    adjustChild_scriptlevel: function (n) {
      var level = this.scriptlevel;
      if (level == null) {
        level = this.Get("scriptlevel");
      } else if (String(level).match(/^ *[-+]/)) {
        var LEVEL = this.Get("scriptlevel",null,true);
        level = LEVEL + parseInt(level);
      }
      return level;
    },
    inheritFromMe: true,
    noInherit: {
      mpadded: {width: true, height: true, depth: true, lspace: true, voffset: true},
      mtable:  {width: true, height: true, depth: true, align: true}
    },
    getRemoved: {fontfamily:"fontFamily", fontweight:"fontWeight", fontstyle:"fontStyle", fontsize:"fontSize"},
    setTeXclass: MML.mbase.setChildTeXclass
  });

  MML.merror = MML.mbase.Subclass({
    type: "merror",
    inferRow: true,
    linebreakContainer: true,
    texClass: MML.TEXCLASS.ORD
  });

  MML.mpadded = MML.mbase.Subclass({
    type: "mpadded",
    inferRow: true,
    isSpacelike: MML.mbase.childrenSpacelike,
    isEmbellished: MML.mbase.childEmbellished,
    Core: MML.mbase.childCore,
    CoreMO: MML.mbase.childCoreMO,
    defaults: {
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      width: "",
      height: "",
      depth: "",
      lspace: 0,
      voffset: 0
    },
    setTeXclass: MML.mbase.setChildTeXclass
  });

  MML.mphantom = MML.mbase.Subclass({
    type: "mphantom",
    texClass: MML.TEXCLASS.ORD,
    inferRow: true,
    isSpacelike: MML.mbase.childrenSpacelike,
    isEmbellished: MML.mbase.childEmbellished,
    Core: MML.mbase.childCore,
    CoreMO: MML.mbase.childCoreMO,
    setTeXclass: MML.mbase.setChildTeXclass
  });

  MML.mfenced = MML.mbase.Subclass({
    type: "mfenced",
    defaults: {
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      open: '(',
      close: ')',
      separators: ','
    },
    addFakeNodes: function () {
      var values = this.getValues("open","close","separators");
      values.open = values.open.replace(/[ \t\n\r]/g,"");
      values.close = values.close.replace(/[ \t\n\r]/g,"");
      values.separators = values.separators.replace(/[ \t\n\r]/g,"");
      //
      //  Create a fake node for the open item
      //
      if (values.open !== "") {
        this.SetData("open",MML.mo(values.open).With({
          fence:true, form:MML.FORM.PREFIX, texClass:MML.TEXCLASS.OPEN
        }));
        //
        //  Clear flag for using MML spacing even though form is specified
        //
        this.data.open.useMMLspacing = 0;
      }
      //
      //  Create fake nodes for the separators
      //
      if (values.separators !== "") {
        while (values.separators.length < this.data.length)
          {values.separators += values.separators.charAt(values.separators.length-1)}
        for (var i = 1, m = this.data.length; i < m; i++) {
          if (this.data[i]) {
            this.SetData("sep"+i,MML.mo(values.separators.charAt(i-1)).With({separator:true}))
            this.data["sep"+i].useMMLspacing = 0;
          }
        }
      }
      //
      //  Create fake node for the close item
      //
      if (values.close !== "") {
        this.SetData("close",MML.mo(values.close).With({
          fence:true, form:MML.FORM.POSTFIX, texClass:MML.TEXCLASS.CLOSE
        }));
        //
        //  Clear flag for using MML spacing even though form is specified
        //
        this.data.close.useMMLspacing = 0;
      }
    },
    texClass: MML.TEXCLASS.OPEN,
    setTeXclass: function (prev) {
      this.addFakeNodes();
      this.getPrevClass(prev);
      if (this.data.open) {prev = this.data.open.setTeXclass(prev)}
      if (this.data[0]) {prev = this.data[0].setTeXclass(prev)}
      for (var i = 1, m = this.data.length; i < m; i++) {
        if (this.data["sep"+i]) {prev = this.data["sep"+i].setTeXclass(prev)}
        if (this.data[i]) {prev = this.data[i].setTeXclass(prev)}
      }
      if (this.data.close) {prev = this.data.close.setTeXclass(prev)}
      this.updateTeXclass(this.data.open);
      this.texClass = MML.TEXCLASS.INNER;
      return prev;
    }
  });

  MML.menclose = MML.mbase.Subclass({
    type: "menclose",
    inferRow: true,
    linebreakContainer: true,
    defaults: {
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      notation: MML.NOTATION.LONGDIV,
      texClass: MML.TEXCLASS.ORD
    },
    setTeXclass: MML.mbase.setSeparateTeXclasses
  });

  MML.msubsup = MML.mbase.Subclass({
    type: "msubsup", base: 0, sub: 1, sup: 2,
    isEmbellished: MML.mbase.childEmbellished,
    Core: MML.mbase.childCore,
    CoreMO: MML.mbase.childCoreMO,
    defaults: {
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      subscriptshift: "",
      superscriptshift: "",
      texClass: MML.AUTO
    },
    autoDefault: function (name) {
      if (name === "texClass")
        {return (this.isEmbellished() ? this.CoreMO().Get(name) : MML.TEXCLASS.ORD)}
      return 0;
    },
    adjustChild_displaystyle: function (n) {
      if (n > 0) {return false}
      return this.Get("displaystyle");
    },
    adjustChild_scriptlevel: function (n) {
      var level = this.Get("scriptlevel");
      if (n > 0) {level++}
      return level;
    },
    adjustChild_texprimestyle: function (n) {
      if (n === this.sub) {return true}
      return this.Get("texprimestyle");
    },
    setTeXclass: MML.mbase.setBaseTeXclasses
  });
  
  MML.msub = MML.msubsup.Subclass({type: "msub"});
  MML.msup = MML.msubsup.Subclass({type: "msup", sub:2, sup:1});
  MML.mmultiscripts = MML.msubsup.Subclass({
    type: "mmultiscripts",
    adjustChild_texprimestyle: function (n) {
      if (n % 2 === 1) {return true}
      return this.Get("texprimestyle");
    }
  });
  MML.mprescripts = MML.mbase.Subclass({type: "mprescripts"});
  MML.none = MML.mbase.Subclass({type: "none"});
  
  MML.munderover = MML.mbase.Subclass({
    type: "munderover",
    base: 0, under: 1, over: 2, sub: 1, sup: 2,
    ACCENTS: ["", "accentunder", "accent"],
    linebreakContainer: true,
    isEmbellished: MML.mbase.childEmbellished,
    Core: MML.mbase.childCore,
    CoreMO: MML.mbase.childCoreMO,
    defaults: {
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      accent: MML.AUTO,
      accentunder: MML.AUTO,
      align: MML.ALIGN.CENTER,
      texClass: MML.AUTO,
      subscriptshift: "",  // when converted to msubsup by moveablelimits
      superscriptshift: "" // when converted to msubsup by moveablelimits
    },
    autoDefault: function (name) {
      if (name === "texClass")
        {return (this.isEmbellished() ? this.CoreMO().Get(name) : MML.TEXCLASS.ORD)}
      if (name === "accent" && this.data[this.over]) {return this.data[this.over].CoreMO().Get("accent")}
      if (name === "accentunder" && this.data[this.under]) {return this.data[this.under].CoreMO().Get("accent")}
      return false;
    },
    adjustChild_displaystyle: function (n) {
      if (n > 0) {return false}
      return this.Get("displaystyle");
    },
    adjustChild_scriptlevel: function (n) {
      var level = this.Get("scriptlevel");
      var force = (this.data[this.base] && !this.Get("displaystyle") &&
                   this.data[this.base].CoreMO().Get("movablelimits"));
      if (n == this.under && (force || !this.Get("accentunder"))) {level++}
      if (n == this.over  && (force || !this.Get("accent"))) {level++}
      return level;
    },
    adjustChild_texprimestyle: function (n) {
      if (n === this.base && this.data[this.over]) {return true}
      return this.Get("texprimestyle");
    },
    setTeXclass: MML.mbase.setBaseTeXclasses
  });
  
  MML.munder = MML.munderover.Subclass({type: "munder"});
  MML.mover = MML.munderover.Subclass({
    type: "mover", over: 1, under: 2, sup: 1, sub: 2,
    ACCENTS: ["", "accent", "accentunder"]
  });

  MML.mtable = MML.mbase.Subclass({
    type: "mtable",
    defaults: {
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      align: MML.ALIGN.AXIS,
      rowalign: MML.ALIGN.BASELINE,
      columnalign: MML.ALIGN.CENTER,
      groupalign: "{left}",
      alignmentscope: true,
      columnwidth: MML.WIDTH.AUTO,
      width: MML.WIDTH.AUTO,
      rowspacing: "1ex",
      columnspacing: ".8em",
      rowlines: MML.LINES.NONE,
      columnlines: MML.LINES.NONE,
      frame: MML.LINES.NONE,
      framespacing: "0.4em 0.5ex",
      equalrows: false,
      equalcolumns: false,
      displaystyle: false,
      side: MML.SIDE.RIGHT,
      minlabelspacing: "0.8em",
      texClass: MML.TEXCLASS.ORD,
      useHeight: 1
    },
    adjustChild_displaystyle: function () {
      return (this.displaystyle != null ? this.displaystyle : this.defaults.displaystyle);
    },
    inheritFromMe: true,
    noInherit: {
      mover: {align: true},
      munder: {align: true},
      munderover: {align: true},
      mtable: {
        align: true, rowalign: true, columnalign: true, groupalign: true,
        alignmentscope: true, columnwidth: true, width: true, rowspacing: true,
        columnspacing: true, rowlines: true, columnlines: true, frame: true,
        framespacing: true, equalrows: true, equalcolumns: true, displaystyle: true,
        side: true, minlabelspacing: true, texClass: true, useHeight: 1
      }
    },
    linebreakContainer: true,
    Append: function () {
      for (var i = 0, m = arguments.length; i < m; i++) {
        if (!((arguments[i] instanceof MML.mtr) ||
              (arguments[i] instanceof MML.mlabeledtr))) {arguments[i] = MML.mtr(arguments[i])}
      }
      this.SUPER(arguments).Append.apply(this,arguments);
    },
    setTeXclass: MML.mbase.setSeparateTeXclasses
  });

  MML.mtr = MML.mbase.Subclass({
    type: "mtr",
    defaults: {
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      rowalign: MML.INHERIT,
      columnalign: MML.INHERIT,
      groupalign: MML.INHERIT
    },
    inheritFromMe: true,
    noInherit: {
      mrow: {rowalign: true, columnalign: true, groupalign: true},
      mtable: {rowalign: true, columnalign: true, groupalign: true}
    },
    linebreakContainer: true,
    Append: function () {
      for (var i = 0, m = arguments.length; i < m; i++) {
        if (!(arguments[i] instanceof MML.mtd)) {arguments[i] = MML.mtd(arguments[i])}
      }
      this.SUPER(arguments).Append.apply(this,arguments);
    },
    setTeXclass: MML.mbase.setSeparateTeXclasses
  });

  MML.mtd = MML.mbase.Subclass({
    type: "mtd",
    inferRow: true,
    linebreakContainer: true,
    isEmbellished: MML.mbase.childEmbellished,
    Core: MML.mbase.childCore,
    CoreMO: MML.mbase.childCoreMO,
    defaults: {
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      rowspan: 1,
      columnspan: 1,
      rowalign: MML.INHERIT,
      columnalign: MML.INHERIT,
      groupalign: MML.INHERIT
    },
    setTeXclass: MML.mbase.setSeparateTeXclasses
  });

  MML.maligngroup = MML.mbase.Subclass({
    type: "maligngroup",
    isSpacelike: function () {return true},
    defaults: {
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      groupalign: MML.INHERIT
    },
    inheritFromMe: true,
    noInherit: {
      mrow: {groupalign: true},
      mtable: {groupalign: true}
    }
  });

  MML.malignmark = MML.mbase.Subclass({
    type: "malignmark",
    defaults: {
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      edge: MML.SIDE.LEFT
    },
    isSpacelike: function () {return true}
  });

  MML.mlabeledtr = MML.mtr.Subclass({
    type: "mlabeledtr"
  });
  
  MML.maction = MML.mbase.Subclass({
    type: "maction",
    defaults: {
      mathbackground: MML.INHERIT,
      mathcolor: MML.INHERIT,
      actiontype: MML.ACTIONTYPE.TOGGLE,
      selection: 1
    },
    selected: function () {return this.data[this.Get("selection")-1] || MML.NULL},
    isEmbellished: function () {return this.selected().isEmbellished()},
    isSpacelike: function () {return this.selected().isSpacelike()},
    Core: function () {return this.selected().Core()},
    CoreMO: function () {return this.selected().CoreMO()},
    setTeXclass: function (prev) {
      if (this.Get("actiontype") === MML.ACTIONTYPE.TOOLTIP && this.data[1]) {
        // Make sure tooltip has proper spacing when typeset (see issue #412)
        this.data[1].setTeXclass();
      }
      var selected = this.selected();
      prev = selected.setTeXclass(prev);
      this.updateTeXclass(selected);
      return prev;
    }
  });
  
  MML.semantics = MML.mbase.Subclass({
    type: "semantics", notParent: true,
    isEmbellished: MML.mbase.childEmbellished,
    Core: MML.mbase.childCore,
    CoreMO: MML.mbase.childCoreMO,
    defaults: {
      definitionURL: null,
      encoding: null
    },
    setTeXclass: MML.mbase.setChildTeXclass,
    getAnnotation: function (name) {
      var encodingList = MathJax.Hub.config.MathMenu.semanticsAnnotations[name];
      if (encodingList) {
        for (var i = 0, m = this.data.length; i < m; i++) {
          var encoding = this.data[i].Get("encoding");
          if (encoding) {
            for (var j = 0, n = encodingList.length; j < n; j++) {
              if (encodingList[j] === encoding) return this.data[i];
            }
          }
        }
      }
      return null;
    }
  });
  MML.annotation = MML.mbase.Subclass({
    type: "annotation", isChars: true,
    linebreakContainer: true,
    defaults: {
      definitionURL: null,
      encoding: null,
      cd: "mathmlkeys",
      name: "",
      src: null
    }
  });
  MML["annotation-xml"] = MML.mbase.Subclass({
    type: "annotation-xml",
    linebreakContainer: true,
    defaults: {
      definitionURL: null,
      encoding: null,
      cd: "mathmlkeys",
      name: "",
      src: null
    }
  });

  MML.math = MML.mstyle.Subclass({
    type: "math",
    defaults: {
      mathvariant: MML.VARIANT.NORMAL,
      mathsize: MML.SIZE.NORMAL,
      mathcolor: "", // should be "black", but allow it to inherit from surrounding text
      mathbackground: MML.COLOR.TRANSPARENT,
      dir: "ltr",
      scriptlevel: 0,
      displaystyle: MML.AUTO,
      display: "inline",
      maxwidth: "",
      overflow: MML.OVERFLOW.LINEBREAK,
      altimg: "",
      'altimg-width': "",
      'altimg-height': "",
      'altimg-valign': "",
      alttext: "",
      cdgroup: "",
      scriptsizemultiplier: Math.sqrt(1/2),
      scriptminsize: "8px",    // should be 8pt, but that's too big
      infixlinebreakstyle: MML.LINEBREAKSTYLE.BEFORE,
      lineleading: "1ex",
      indentshift: "auto",     // use user configuration
      indentalign: MML.INDENTALIGN.AUTO,
      indentalignfirst: MML.INDENTALIGN.INDENTALIGN,
      indentshiftfirst: MML.INDENTSHIFT.INDENTSHIFT,
      indentalignlast:  MML.INDENTALIGN.INDENTALIGN,
      indentshiftlast:  MML.INDENTSHIFT.INDENTSHIFT,
      decimalseparator: ".",
      texprimestyle: false     // is it in TeX's C' style?
    },
    autoDefault: function (name) {
      if (name === "displaystyle") {return this.Get("display") === "block"}
      return "";
    },
    linebreakContainer: true,
    setTeXclass: MML.mbase.setChildTeXclass,
    getAnnotation: function (name) {
      if (this.data.length != 1) return null;
      return this.data[0].getAnnotation(name);
    }
  });
  
  MML.chars = MML.mbase.Subclass({
    type: "chars",
    Append: function () {this.data.push.apply(this.data,arguments)},
    value: function () {return this.data.join("")},
    toString: function () {return this.data.join("")}
  });
  
  MML.entity = MML.mbase.Subclass({
    type: "entity",
    Append: function () {this.data.push.apply(this.data,arguments)},
    value: function () {
      if (this.data[0].substr(0,2) === "#x") {return parseInt(this.data[0].substr(2),16)}
      else if (this.data[0].substr(0,1) === "#") {return parseInt(this.data[0].substr(1))}
      else {return 0}  // FIXME: look up named entities from table
    },
    toString: function () {
      var n = this.value();
      if (n <= 0xFFFF) {return String.fromCharCode(n)}
      n -= 0x10000;
      return String.fromCharCode((n>>10)+0xD800)
           + String.fromCharCode((n&0x3FF)+0xDC00);
    }
  });
  
  MML.xml = MML.mbase.Subclass({
    type: "xml",
    Init: function () {
      this.div = document.createElement("div");
      return this.SUPER(arguments).Init.apply(this,arguments);
    },
    Append: function () {
      for (var i = 0, m = arguments.length; i < m; i++) {
        var node = this.Import(arguments[i]);
        this.data.push(node);
        this.div.appendChild(node);
      }
    },
    Import: function (node) {
      if (document.importNode) {return document.importNode(node,true)}
      //
      //  IE < 9 doesn't have importNode, so fake it.
      //
      var nNode, i, m;
      if (node.nodeType === 1) { // ELEMENT_NODE
        nNode = document.createElement(node.nodeName);
        for (i = 0, m = node.attributes.length; i < m; i++) {
          var attribute = node.attributes[i];
          if (attribute.specified && attribute.nodeValue != null && attribute.nodeValue != '')
            {nNode.setAttribute(attribute.nodeName,attribute.nodeValue)}
          if (attribute.nodeName === "style") {nNode.style.cssText = attribute.nodeValue}
        }
        if (node.className) {nNode.className = node.className}
      } else if (node.nodeType === 3 || node.nodeType === 4) { // TEXT_NODE or CDATA_SECTION_NODE
        nNode = document.createTextNode(node.nodeValue);
      } else if (node.nodeType === 8) { // COMMENT_NODE
        nNode = document.createComment(node.nodeValue);
      } else {
        return document.createTextNode('');
      }
      for (i = 0, m = node.childNodes.length; i < m; i++)
        {nNode.appendChild(this.Import(node.childNodes[i]))}
      return nNode;
    },
    value: function () {return this.div},
    toString: function () {return this.div.innerHTML}
  });
  
  MML.TeXAtom = MML.mbase.Subclass({
    type: "texatom",
    linebreakContainer: true,
    inferRow: true, notParent: true,
    texClass: MML.TEXCLASS.ORD,
    Core: MML.mbase.childCore,
    CoreMO: MML.mbase.childCoreMO,
    isEmbellished: MML.mbase.childEmbellished,
    setTeXclass: function (prev) {
      this.data[0].setTeXclass();
      return this.adjustTeXclass(prev);
    },
    adjustTeXclass: MML.mo.prototype.adjustTeXclass
  });
  
  MML.NULL = MML.mbase().With({type:"null"});

  var TEXCLASS = MML.TEXCLASS;
  
  var MO = {
    ORD:        [0,0,TEXCLASS.ORD],
    ORD11:      [1,1,TEXCLASS.ORD],
    ORD21:      [2,1,TEXCLASS.ORD],
    ORD02:      [0,2,TEXCLASS.ORD],
    ORD55:      [5,5,TEXCLASS.ORD],
    OP:         [1,2,TEXCLASS.OP,{largeop: true, movablelimits: true, symmetric: true}],
    OPFIXED:    [1,2,TEXCLASS.OP,{largeop: true, movablelimits: true}],
    INTEGRAL:   [0,1,TEXCLASS.OP,{largeop: true, symmetric: true}],
    INTEGRAL2:  [1,2,TEXCLASS.OP,{largeop: true, symmetric: true}],
    BIN3:       [3,3,TEXCLASS.BIN],
    BIN4:       [4,4,TEXCLASS.BIN],
    BIN01:      [0,1,TEXCLASS.BIN],
    BIN5:       [5,5,TEXCLASS.BIN],
    TALLBIN:    [4,4,TEXCLASS.BIN,{stretchy: true}],
    BINOP:      [4,4,TEXCLASS.BIN,{largeop: true, movablelimits: true}],
    REL:        [5,5,TEXCLASS.REL],
    REL1:       [1,1,TEXCLASS.REL,{stretchy: true}],
    REL4:       [4,4,TEXCLASS.REL],
    RELSTRETCH: [5,5,TEXCLASS.REL,{stretchy: true}],
    RELACCENT:  [5,5,TEXCLASS.REL,{accent: true}],
    WIDEREL:    [5,5,TEXCLASS.REL,{accent: true, stretchy: true}],
    OPEN:       [0,0,TEXCLASS.OPEN,{fence: true, stretchy: true, symmetric: true}],
    CLOSE:      [0,0,TEXCLASS.CLOSE,{fence: true, stretchy: true, symmetric: true}],
    INNER:      [0,0,TEXCLASS.INNER],
    PUNCT:      [0,3,TEXCLASS.PUNCT],
    ACCENT:     [0,0,TEXCLASS.ORD,{accent: true}],
    WIDEACCENT: [0,0,TEXCLASS.ORD,{accent: true, stretchy: true}]
  };

  MML.mo.Augment({
    SPACE: [
      '0em',
      '0.1111em',
      '0.1667em',
      '0.2222em',
      '0.2667em',
      '0.3333em'
    ],
    RANGES: [
      [0x20,0x7F,TEXCLASS.REL,"BasicLatin"],
      [0xA0,0xFF,TEXCLASS.ORD,"Latin1Supplement"],
      [0x100,0x17F,TEXCLASS.ORD],
      [0x180,0x24F,TEXCLASS.ORD],
      [0x2B0,0x2FF,TEXCLASS.ORD,"SpacingModLetters"],
      [0x300,0x36F,TEXCLASS.ORD,"CombDiacritMarks"],
      [0x370,0x3FF,TEXCLASS.ORD,"GreekAndCoptic"],
      [0x1E00,0x1EFF,TEXCLASS.ORD],
      [0x2000,0x206F,TEXCLASS.PUNCT,"GeneralPunctuation"],
      [0x2070,0x209F,TEXCLASS.ORD],
      [0x20A0,0x20CF,TEXCLASS.ORD],
      [0x20D0,0x20FF,TEXCLASS.ORD,"CombDiactForSymbols"],
      [0x2100,0x214F,TEXCLASS.ORD,"LetterlikeSymbols"],
      [0x2150,0x218F,TEXCLASS.ORD],
      [0x2190,0x21FF,TEXCLASS.REL,"Arrows"],
      [0x2200,0x22FF,TEXCLASS.BIN,"MathOperators"],
      [0x2300,0x23FF,TEXCLASS.ORD,"MiscTechnical"],
      [0x2460,0x24FF,TEXCLASS.ORD],
      [0x2500,0x259F,TEXCLASS.ORD],
      [0x25A0,0x25FF,TEXCLASS.ORD,"GeometricShapes"],
      [0x2700,0x27BF,TEXCLASS.ORD,"Dingbats"],
      [0x27C0,0x27EF,TEXCLASS.ORD,"MiscMathSymbolsA"],
      [0x27F0,0x27FF,TEXCLASS.REL,"SupplementalArrowsA"],
      [0x2900,0x297F,TEXCLASS.REL,"SupplementalArrowsB"],
      [0x2980,0x29FF,TEXCLASS.ORD,"MiscMathSymbolsB"],
      [0x2A00,0x2AFF,TEXCLASS.BIN,"SuppMathOperators"],
      [0x2B00,0x2BFF,TEXCLASS.ORD,"MiscSymbolsAndArrows"],
      [0x1D400,0x1D7FF,TEXCLASS.ORD]
    ],
    OPTABLE: {
      prefix: {
        '\u2200': MO.ORD21,    // for all
        '\u2202': MO.ORD21,    // partial differential
        '\u2203': MO.ORD21,    // there exists
        '\u2207': MO.ORD21,    // nabla
        '\u220F': MO.OP,       // n-ary product
        '\u2210': MO.OP,       // n-ary coproduct
        '\u2211': MO.OP,       // n-ary summation
        '\u2212': MO.BIN01,    // minus sign
        '\u2213': MO.BIN01,    // minus-or-plus sign
        '\u221A': [1,1,TEXCLASS.ORD,{stretchy: true}], // square root
        '\u2220': MO.ORD,      // angle
        '\u222B': MO.INTEGRAL, // integral
        '\u222E': MO.INTEGRAL, // contour integral
        '\u22C0': MO.OP,       // n-ary logical and
        '\u22C1': MO.OP,       // n-ary logical or
        '\u22C2': MO.OP,       // n-ary intersection
        '\u22C3': MO.OP,       // n-ary union
        '\u2308': MO.OPEN,     // left ceiling
        '\u230A': MO.OPEN,     // left floor
        '\u27E8': MO.OPEN,     // mathematical left angle bracket
        '\u27EE': MO.OPEN,     // mathematical left flattened parenthesis
        '\u2A00': MO.OP,       // n-ary circled dot operator
        '\u2A01': MO.OP,       // n-ary circled plus operator
        '\u2A02': MO.OP,       // n-ary circled times operator
        '\u2A04': MO.OP,       // n-ary union operator with plus
        '\u2A06': MO.OP,       // n-ary square union operator
        '\u00AC': MO.ORD21,    // not sign
        '\u00B1': MO.BIN01,    // plus-minus sign
        '(': MO.OPEN,          // left parenthesis
        '+': MO.BIN01,         // plus sign
        '-': MO.BIN01,         // hyphen-minus
        '[': MO.OPEN,          // left square bracket
        '{': MO.OPEN,          // left curly bracket
        '|': MO.OPEN           // vertical line
      },
      postfix: {
        '!': [1,0,TEXCLASS.CLOSE], // exclamation mark
        '&': MO.ORD,           // ampersand
        '\u2032': MO.ORD02,    // prime
        '\u203E': MO.WIDEACCENT, // overline
        '\u2309': MO.CLOSE,    // right ceiling
        '\u230B': MO.CLOSE,    // right floor
        '\u23DE': MO.WIDEACCENT, // top curly bracket
        '\u23DF': MO.WIDEACCENT, // bottom curly bracket
        '\u266D': MO.ORD02,    // music flat sign
        '\u266E': MO.ORD02,    // music natural sign
        '\u266F': MO.ORD02,    // music sharp sign
        '\u27E9': MO.CLOSE,    // mathematical right angle bracket
        '\u27EF': MO.CLOSE,    // mathematical right flattened parenthesis
        '\u02C6': MO.WIDEACCENT, // modifier letter circumflex accent
        '\u02C7': MO.WIDEACCENT, // caron
        '\u02C9': MO.WIDEACCENT, // modifier letter macron
        '\u02CA': MO.ACCENT,   // modifier letter acute accent
        '\u02CB': MO.ACCENT,   // modifier letter grave accent
        '\u02D8': MO.ACCENT,   // breve
        '\u02D9': MO.ACCENT,   // dot above
        '\u02DC': MO.WIDEACCENT, // small tilde
        '\u0302': MO.WIDEACCENT, // combining circumflex accent
        '\u00A8': MO.ACCENT,   // diaeresis
        '\u00AF': MO.WIDEACCENT, // macron
        ')': MO.CLOSE,         // right parenthesis
        ']': MO.CLOSE,         // right square bracket
        '^': MO.WIDEACCENT,    // circumflex accent
        '_': MO.WIDEACCENT,    // low line
        '`': MO.ACCENT,        // grave accent
        '|': MO.CLOSE,         // vertical line
        '}': MO.CLOSE,         // right curly bracket
        '~': MO.WIDEACCENT     // tilde
      },
      infix: {
        '': MO.ORD,            // empty <mo>
        '%': [3,3,TEXCLASS.ORD], // percent sign
        '\u2022': MO.BIN4,     // bullet
        '\u2026': MO.INNER,    // horizontal ellipsis
        '\u2044': MO.TALLBIN,  // fraction slash
        '\u2061': MO.ORD,      // function application
        '\u2062': MO.ORD,      // invisible times
        '\u2063': [0,0,TEXCLASS.ORD,{linebreakstyle:"after", separator: true}], // invisible separator
        '\u2064': MO.ORD,      // invisible plus
        '\u2190': MO.WIDEREL,  // leftwards arrow
        '\u2191': MO.RELSTRETCH, // upwards arrow
        '\u2192': MO.WIDEREL,  // rightwards arrow
        '\u2193': MO.RELSTRETCH, // downwards arrow
        '\u2194': MO.WIDEREL,  // left right arrow
        '\u2195': MO.RELSTRETCH, // up down arrow
        '\u2196': MO.RELSTRETCH, // north west arrow
        '\u2197': MO.RELSTRETCH, // north east arrow
        '\u2198': MO.RELSTRETCH, // south east arrow
        '\u2199': MO.RELSTRETCH, // south west arrow
        '\u21A6': MO.WIDEREL,  // rightwards arrow from bar
        '\u21A9': MO.WIDEREL,  // leftwards arrow with hook
        '\u21AA': MO.WIDEREL,  // rightwards arrow with hook
        '\u21BC': MO.WIDEREL,  // leftwards harpoon with barb upwards
        '\u21BD': MO.WIDEREL,  // leftwards harpoon with barb downwards
        '\u21C0': MO.WIDEREL,  // rightwards harpoon with barb upwards
        '\u21C1': MO.WIDEREL,  // rightwards harpoon with barb downwards
        '\u21CC': MO.WIDEREL,  // rightwards harpoon over leftwards harpoon
        '\u21D0': MO.WIDEREL,  // leftwards double arrow
        '\u21D1': MO.RELSTRETCH, // upwards double arrow
        '\u21D2': MO.WIDEREL,  // rightwards double arrow
        '\u21D3': MO.RELSTRETCH, // downwards double arrow
        '\u21D4': MO.WIDEREL,  // left right double arrow
        '\u21D5': MO.RELSTRETCH, // up down double arrow
        '\u2208': MO.REL,      // element of
        '\u2209': MO.REL,      // not an element of
        '\u220B': MO.REL,      // contains as member
        '\u2212': MO.BIN4,     // minus sign
        '\u2213': MO.BIN4,     // minus-or-plus sign
        '\u2215': MO.TALLBIN,  // division slash
        '\u2216': MO.BIN4,     // set minus
        '\u2217': MO.BIN4,     // asterisk operator
        '\u2218': MO.BIN4,     // ring operator
        '\u2219': MO.BIN4,     // bullet operator
        '\u221D': MO.REL,      // proportional to
        '\u2223': MO.REL,      // divides
        '\u2225': MO.REL,      // parallel to
        '\u2227': MO.BIN4,     // logical and
        '\u2228': MO.BIN4,     // logical or
        '\u2229': MO.BIN4,     // intersection
        '\u222A': MO.BIN4,     // union
        '\u223C': MO.REL,      // tilde operator
        '\u2240': MO.BIN4,     // wreath product
        '\u2243': MO.REL,      // asymptotically equal to
        '\u2245': MO.REL,      // approximately equal to
        '\u2248': MO.REL,      // almost equal to
        '\u224D': MO.REL,      // equivalent to
        '\u2250': MO.REL,      // approaches the limit
        '\u2260': MO.REL,      // not equal to
        '\u2261': MO.REL,      // identical to
        '\u2264': MO.REL,      // less-than or equal to
        '\u2265': MO.REL,      // greater-than or equal to
        '\u226A': MO.REL,      // much less-than
        '\u226B': MO.REL,      // much greater-than
        '\u227A': MO.REL,      // precedes
        '\u227B': MO.REL,      // succeeds
        '\u2282': MO.REL,      // subset of
        '\u2283': MO.REL,      // superset of
        '\u2286': MO.REL,      // subset of or equal to
        '\u2287': MO.REL,      // superset of or equal to
        '\u228E': MO.BIN4,     // multiset union
        '\u2291': MO.REL,      // square image of or equal to
        '\u2292': MO.REL,      // square original of or equal to
        '\u2293': MO.BIN4,     // square cap
        '\u2294': MO.BIN4,     // square cup
        '\u2295': MO.BIN4,     // circled plus
        '\u2296': MO.BIN4,     // circled minus
        '\u2297': MO.BIN4,     // circled times
        '\u2298': MO.BIN4,     // circled division slash
        '\u2299': MO.BIN4,     // circled dot operator
        '\u22A2': MO.REL,      // right tack
        '\u22A3': MO.REL,      // left tack
        '\u22A4': MO.ORD55,    // down tack
        '\u22A5': MO.REL,      // up tack
        '\u22A8': MO.REL,      // true
        '\u22C4': MO.BIN4,     // diamond operator
        '\u22C5': MO.BIN4,     // dot operator
        '\u22C6': MO.BIN4,     // star operator
        '\u22C8': MO.REL,      // bowtie
        '\u22EE': MO.ORD55,    // vertical ellipsis
        '\u22EF': MO.INNER,    // midline horizontal ellipsis
        '\u22F1': [5,5,TEXCLASS.INNER], // down right diagonal ellipsis
        '\u25B3': MO.BIN4,     // white up-pointing triangle
        '\u25B5': MO.BIN4,     // white up-pointing small triangle
        '\u25B9': MO.BIN4,     // white right-pointing small triangle
        '\u25BD': MO.BIN4,     // white down-pointing triangle
        '\u25BF': MO.BIN4,     // white down-pointing small triangle
        '\u25C3': MO.BIN4,     // white left-pointing small triangle
        '\u2758': MO.REL,      // light vertical bar
        '\u27F5': MO.WIDEREL,  // long leftwards arrow
        '\u27F6': MO.WIDEREL,  // long rightwards arrow
        '\u27F7': MO.WIDEREL,  // long left right arrow
        '\u27F8': MO.WIDEREL,  // long leftwards double arrow
        '\u27F9': MO.WIDEREL,  // long rightwards double arrow
        '\u27FA': MO.WIDEREL,  // long left right double arrow
        '\u27FC': MO.WIDEREL,  // long rightwards arrow from bar
        '\u2A2F': MO.BIN4,     // vector or cross product
        '\u2A3F': MO.BIN4,     // amalgamation or coproduct
        '\u2AAF': MO.REL,      // precedes above single-line equals sign
        '\u2AB0': MO.REL,      // succeeds above single-line equals sign
        '\u00B1': MO.BIN4,     // plus-minus sign
        '\u00B7': MO.BIN4,     // middle dot
        '\u00D7': MO.BIN4,     // multiplication sign
        '\u00F7': MO.BIN4,     // division sign
        '*': MO.BIN3,          // asterisk
        '+': MO.BIN4,          // plus sign
        ',': [0,3,TEXCLASS.PUNCT,{linebreakstyle:"after", separator: true}], // comma
        '-': MO.BIN4,          // hyphen-minus
        '.': [3,3,TEXCLASS.ORD], // full stop
        '/': MO.ORD11,         // solidus
        ':': [1,2,TEXCLASS.REL], // colon
        ';': [0,3,TEXCLASS.PUNCT,{linebreakstyle:"after", separator: true}], // semicolon
        '<': MO.REL,           // less-than sign
        '=': MO.REL,           // equals sign
        '>': MO.REL,           // greater-than sign
        '?': [1,1,TEXCLASS.CLOSE], // question mark
        '\\': MO.ORD,          // reverse solidus
        '^': MO.ORD11,         // circumflex accent
        '_': MO.ORD11,         // low line
        '|': [2,2,TEXCLASS.ORD,{fence: true, stretchy: true, symmetric: true}], // vertical line
        '#': MO.ORD,           // #
        '$': MO.ORD,           // $
        '\u002E': [0,3,TEXCLASS.PUNCT,{separator: true}], // \ldotp
        '\u02B9': MO.ORD,      // prime
        '\u0300': MO.ACCENT,   // \grave
        '\u0301': MO.ACCENT,   // \acute
        '\u0303': MO.WIDEACCENT, // \tilde
        '\u0304': MO.ACCENT,   // \bar
        '\u0306': MO.ACCENT,   // \breve
        '\u0307': MO.ACCENT,   // \dot
        '\u0308': MO.ACCENT,   // \ddot
        '\u030C': MO.ACCENT,   // \check
        '\u0332': MO.WIDEACCENT, // horizontal line
        '\u0338': MO.REL4,     // \not
        '\u2015': [0,0,TEXCLASS.ORD,{stretchy: true}], // horizontal line
        '\u2017': [0,0,TEXCLASS.ORD,{stretchy: true}], // horizontal line
        '\u2020': MO.BIN3,     // \dagger
        '\u2021': MO.BIN3,     // \ddagger
        '\u20D7': MO.ACCENT,   // \vec
        '\u2111': MO.ORD,      // \Im
        '\u2113': MO.ORD,      // \ell
        '\u2118': MO.ORD,      // \wp
        '\u211C': MO.ORD,      // \Re
        '\u2205': MO.ORD,      // \emptyset
        '\u221E': MO.ORD,      // \infty
        '\u2305': MO.BIN3,     // barwedge
        '\u2306': MO.BIN3,     // doublebarwedge
        '\u2322': MO.REL4,     // \frown
        '\u2323': MO.REL4,     // \smile
        '\u2329': MO.OPEN,     // langle
        '\u232A': MO.CLOSE,    // rangle
        '\u23AA': MO.ORD,      // \bracevert
        '\u23AF': [0,0,TEXCLASS.ORD,{stretchy: true}], // \underline
        '\u23B0': MO.OPEN,     // \lmoustache
        '\u23B1': MO.CLOSE,    // \rmoustache
        '\u2500': MO.ORD,      // horizontal line
        '\u25EF': MO.BIN3,     // \bigcirc
        '\u2660': MO.ORD,      // \spadesuit
        '\u2661': MO.ORD,      // \heartsuit
        '\u2662': MO.ORD,      // \diamondsuit
        '\u2663': MO.ORD,      // \clubsuit
        '\u3008': MO.OPEN,     // langle
        '\u3009': MO.CLOSE,    // rangle
        '\uFE37': MO.WIDEACCENT, // horizontal brace down
        '\uFE38': MO.WIDEACCENT  // horizontal brace up
      }
    }
  },{
    OPTYPES: MO
  });
  
  //
  //  These are not in the W3C table, but FF works this way,
  //  and it makes sense, so add it here
  //
  var OPTABLE = MML.mo.prototype.OPTABLE;
  OPTABLE.infix["^"] = MO.WIDEREL;
  OPTABLE.infix["_"] = MO.WIDEREL;
  OPTABLE.prefix["\u2223"] = MO.OPEN;
  OPTABLE.prefix["\u2225"] = MO.OPEN;
  OPTABLE.postfix["\u2223"] = MO.CLOSE;
  OPTABLE.postfix["\u2225"] = MO.CLOSE;
  
})(MathJax.ElementJax.mml);

MathJax.ElementJax.mml.loadComplete("jax.js");
