Updated.

- added mathjax (freed)
- added rss.py
- updated publish.el
- etc.

2 files changed, 1487 insertions, 0 deletions

diff --git a/js/mathjax/jax/output/NativeMML/config.js b/js/mathjax/jax/output/NativeMML/config.js
new file mode 100644
index 0000000..a0f7480
--- /dev/null
+++ b/js/mathjax/jax/output/NativeMML/config.js
@@ -0,0 +1,54 @@
+// @license magnet:?xt=urn:btih:8e4f440f4c65981c5bf93c76d35135ba5064d8b7dn=apache-2.0.txt Apache-2.0
+/* -*- Mode: Javascript; indent-tabs-mode:nil; js-indent-level: 2 -*- */
+/* vim: set ts=2 et sw=2 tw=80: */
+
+/*************************************************************
+ *
+ *  MathJax/jax/output/NativeMML/config.js
+ *  
+ *  Initializes the NativeMML OutputJax (the main definition is in
+ *  MathJax/jax/input/NativeMML/jax.js, which is loaded when needed).
+ *
+ *  ---------------------------------------------------------------------
+ *  
+ *  Copyright (c) 2009-2020 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.OutputJax.NativeMML = MathJax.OutputJax({
+  id: "NativeMML",
+  version: "2.7.9",
+  directory: MathJax.OutputJax.directory + "/NativeMML",
+  extensionDir: MathJax.OutputJax.extensionDir + "/NativeMML",
+  
+  config: {
+    matchFontHeight: true,   // try to match math font height to surrounding font?
+    scale: 100,              // scaling factor for all math
+    minScaleAdjust: 50,      // minimum scaling to adjust to surrounding text
+                             //  (since the code for that is a bit delicate)
+
+    styles: {
+      "div.MathJax_MathML": {
+        "text-align": "center",
+        margin: ".75em 0px"
+      }
+    }
+  }
+});
+
+if (!MathJax.Hub.config.delayJaxRegistration)
+  MathJax.OutputJax.NativeMML.Register("jax/mml");
+
+MathJax.OutputJax.NativeMML.loadComplete("config.js");
+// @license-end
diff --git a/js/mathjax/jax/output/NativeMML/jax.js b/js/mathjax/jax/output/NativeMML/jax.js
new file mode 100644
index 0000000..75da9f5
--- /dev/null
+++ b/js/mathjax/jax/output/NativeMML/jax.js
@@ -0,0 +1,1433 @@
+// @license magnet:?xt=urn:btih:8e4f440f4c65981c5bf93c76d35135ba5064d8b7dn=apache-2.0.txt Apache-2.0
+/* -*- Mode: Javascript; indent-tabs-mode:nil; js-indent-level: 2 -*- */
+/* vim: set ts=2 et sw=2 tw=80: */
+
+/*************************************************************
+ *
+ *  MathJax/jax/output/NativeMML/jax.js
+ *
+ *  Implements the NativeMML OutputJax that displays mathematics
+ *  using a browser's native MathML capabilities (if any).
+ *  
+ *  ---------------------------------------------------------------------
+ *  
+ *  Copyright (c) 2010-2020 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.
+ */
+
+(function (nMML,HUB,AJAX,HTML) {
+  var MML, isMSIE = HUB.Browser.isMSIE;
+  
+  var EVENT, TOUCH, HOVER, ZOOM; // filled in later
+
+  HUB.Register.StartupHook("MathZoom Ready",function () {ZOOM = MathJax.Extension.MathZoom});
+  
+  var NOPADDING = function (side,obj) {
+    var span = HTML.Element("span"); side = "padding"+side;
+    if (obj) {
+      span.style.cssText = (obj.getAttribute("style")||"");
+      if (span.style.padding === "" && (span.style[side]||"") === "") {
+        span.style[side] = "0px"; obj.setAttribute("style",span.style.cssText)
+      }
+    }
+  };
+  
+  var CELLSPACING = function (obj,rowSpacing,columnSpacing) {
+    //
+    // Webkit default padding on mtd cells is simply
+    //
+    // mtd {padding: 0.5ex;}
+    //
+    // Gecko default padding on mtd cells is
+    //
+    // mtd {padding-right: 0.4em;
+    //      padding-left: 0.4em;
+    //      padding-bottom: 0.5ex;
+    //      padding-top: 0.5ex;}
+    // mtr:first-child > mtd {padding-top: 0ex;}
+    // mtr:last-child > mtd {padding-bottom: 0ex;}
+    // mtd:first-child {padding-left: 0em;}
+    // mtd:last-child {padding-right: 0em;}
+    //
+    // that is the columnspacing/rowspacing is split into two adjacent cells,
+    // and the periphery of boundary cells is set to zero.
+    //
+    // Here, we will set the left/top padding of each cell to
+    // rowSpacing/columnSpacing (or 0px for the leftmost/topmost cells) and
+    // reset the right/bottom padding to zero.
+    //
+    if (obj) {
+      var span = HTML.Element("span");
+      span.style.cssText = (obj.getAttribute("style")||"");
+      if (span.style.padding === "") {
+        var padding = { paddingLeft: columnSpacing, paddingTop: rowSpacing,
+                        paddingRight: "0px", paddingBottom: "0px" };
+        for (var side in padding) {if (padding.hasOwnProperty(side)) {
+          if ((span.style[side]||"") === "") {span.style[side] = padding[side];}
+        }}
+      }
+      obj.setAttribute("style",span.style.cssText);
+    }
+  };
+ 
+  nMML.Augment({
+    //
+    //  User can configure styles
+    //
+    config: {
+      styles: {
+        ".MathJax_MathML": {
+          "font-style":      "normal",
+          "font-weight":     "normal",
+          "line-height":     "normal",
+          "font-size":       "100%",
+          "font-size-adjust":"none",
+          "text-indent":     0,
+          "text-align":      "left",
+          "text-transform":  "none",
+          "letter-spacing":  "normal",
+          "word-spacing":    "normal",
+          "word-wrap":       "normal",
+          "white-space":     "nowrap",
+          "float":           "none",
+          "direction":       "ltr",
+          "max-width": "none", "max-height": "none",
+          "min-width": 0, "min-height": 0,
+          border: 0, padding: 0, margin: 0
+        },
+        
+        "span.MathJax_MathML": {
+          display: "inline!important"
+        },
+        
+        "div.MathJax_MathML": {
+          display: "block!important"
+        },
+        
+        ".MathJax_mmlExBox": {
+          display:"block!important", overflow:"hidden",
+          height:"1px", width:"60ex",
+          "min-height": 0, "max-height":"none",
+          padding:0, border: 0, margin: 0
+        }
+      }
+    },
+    handlesVariants: false, // true if native support for mathvariants
+    settings: HUB.config.menuSettings,
+    ex: 1, scale: 1,  // filled in later
+    adjustWidths: [], // array of elements to have their widths adjusted
+    
+    Config: function () {
+      this.SUPER(arguments).Config.call(this);
+      if (this.settings.scale) {this.config.scale = this.settings.scale}
+      //
+      //  Insert styling to take account of displayAlign and displayIndent
+      //
+      if (HUB.config.displayAlign !== "center") {
+        var align = HUB.config.displayAlign, indent = HUB.config.displayIndent;
+        var def = {"text-align": align+"!important"}; def["margin-"+align] = indent+"!important";
+        HUB.Insert(this.config.styles,{
+          "div.MathJax_MathML": def,
+          "div.MathJax_MathML math": {"text-align": align},
+          "div.MathJax_MathContainer > span": {"text-align": align+"!important"}
+        });
+      }
+      if (!this.require) {this.require = []}
+      this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");
+    },
+    Startup: function () {
+      //  Set up event handling
+      EVENT = MathJax.Extension.MathEvents.Event;
+      TOUCH = MathJax.Extension.MathEvents.Touch;
+      HOVER = MathJax.Extension.MathEvents.Hover;
+      this.ContextMenu = EVENT.ContextMenu;
+      this.Mousedown   = EVENT.AltContextMenu;
+      this.Mouseover   = HOVER.Mouseover;
+      this.Mouseout    = HOVER.Mouseout;
+      this.Mousemove   = HOVER.Mousemove;
+
+      if (!HUB.Browser.hasMathPlayer) {
+        // Used in preTranslate to get scaling factors
+        this.EmExSpan = HTML.Element("span",
+          {style:{position:"absolute","font-size-adjust":"none"}},
+          [
+            ["div",{className:"MathJax_mmlExBox"}],
+            ["span",{className:"MathJax_MathML"}]
+          ]
+        );
+        MML.math(MML.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild);
+      }
+
+      //  Set up styles
+      return AJAX.Styles(this.config.styles);
+    },
+    //
+    //  Set up MathPlayer for IE on the first time through.
+    //  Get the ex and em sizes.
+    //
+    InitializeMML: function () {
+      this.initialized = true;
+      if (HUB.Browser.hasMathPlayer) {
+        try {
+          //
+          //  Insert data needed to use MathPlayer for MathML output
+          //
+          if (!HUB.Browser.mpNamespace) {
+            var mathplayer = document.createElement("object");
+            mathplayer.id = "mathplayer"; mathplayer.classid = "clsid:32F66A20-7614-11D4-BD11-00104BD3F987";
+            document.getElementsByTagName("head")[0].appendChild(mathplayer);
+            document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");
+            HUB.Browser.mpNamespace = true;
+          }
+          if (!HUB.Browser.mpImported) {
+            document.namespaces.m.doImport("#mathplayer");
+            HUB.Browser.mpImported = true;
+          }
+        } catch (err) {
+          //
+          //  If that fails, give an alert about security settings
+          //
+          if (!this.config.noMathPlayerWarning) {
+	    alert(MathJax.Localization._(["MathML", "MathPlayer"],
+	          "MathJax was not able to set up MathPlayer.\n\n"+
+	          "If MathPlayer is not installed, you need to install it first.\n"+
+	          "Otherwise, your security settings may be preventing ActiveX     \n"+
+	          "controls from running.  Use the Internet Options item under\n"+
+	          "the Tools menu and select the Security tab, then press the\n"+
+	          "Custom Level button. Check that the settings for\n"+
+	          "'Run ActiveX Controls', and 'Binary and script behaviors'\n"+
+	          "are enabled.\n\n"+
+	          "Currently you will see error messages rather than\n"+
+	          "typeset mathematics."));
+          }
+        }
+      } else {
+        //
+        //  Get the default sizes (need styles in place to do this)
+        //
+        document.body.appendChild(this.EmExSpan);
+        this.defaultEx  = this.EmExSpan.firstChild.offsetWidth/60;
+        this.defaultMEx = this.EmExSpan.lastChild.offsetWidth/60;
+        document.body.removeChild(this.EmExSpan);
+      }
+    },
+    
+    preTranslate: function (state) {
+      var scripts = state.jax[this.id], i, m = scripts.length,
+          script, prev, span, test, math, jax, ex, mex, scale;
+      for (i = 0; i < m; i++) {
+        script = scripts[i]; if (!script.parentNode) continue;
+	if (!this.initialized) {this.InitializeMML()}
+        //
+        //  Remove any existing output
+        //
+        prev = script.previousSibling;
+        if (prev && prev.className === "MathJax_MathML") {prev.parentNode.removeChild(prev)}
+        //
+        //  Add the MathJax span
+        //
+        jax = script.MathJax.elementJax; if (!jax) continue;
+        math = jax.root; jax.NativeMML = {};
+        var type = (math.Get("display") === "block" ? "div" : "span");
+	span = HTML.Element(type,{
+	  className: "MathJax_MathML", id:jax.inputID+"-Frame"
+	},[["span",{
+            className:"MathJax_MathContainer", isMathJax: true, jaxID:this.id,
+            style:{position:"relative", display:"inline-block", "white-space":"nowrap"}
+          }, [["span",{isMathJax:true, style:{display:"inline-block"}}]] // for Firefox hover and zoom
+	]]);
+        script.parentNode.insertBefore(span,script);
+        //
+        //  Add the test span for determining scales
+        //
+        if (!isMSIE) {script.parentNode.insertBefore(this.EmExSpan.cloneNode(true),script)}
+      }
+      //
+      //  Determine the scaling factors for each script
+      //  (this only requires one reflow rather than a reflow for each equation)
+      //
+      for (i = 0; i < m; i++) {
+        script = scripts[i]; if (!script.parentNode) continue;
+        jax = script.MathJax.elementJax; if (!jax) continue;
+        if (!isMSIE) {
+          test = script.previousSibling;
+          ex = test.firstChild.offsetWidth/60;
+          mex = test.lastChild.offsetWidth/60;
+          if (ex === 0 || ex === "NaN") {ex = this.defaultEx; mex = this.defaultMEx}
+          scale = (this.config.matchFontHeight && mex > 1 ? ex/mex : 1);
+          scale = Math.floor(Math.max(this.config.minScaleAdjust/100,scale) * this.config.scale);
+          jax.NativeMML.ex = ex; jax.NativeMML.mex = mex;
+        } else {scale = 100}
+        jax.NativeMML.fontSize = scale+"%";
+        jax.NativeMML.scale = scale/100;
+      }
+      //
+      //  Remove the test spans used for determining scales
+      //
+      if (!isMSIE) {
+        for (i = 0; i < m; i++) {
+          script = scripts[i];
+          if (script.parentNode && script.MathJax.elementJax) {
+            script.parentNode.removeChild(script.previousSibling);
+          }
+        }
+      }
+    },
+
+    //
+    //  Add a SPAN to use as a container, and render the math into it
+    //  
+    Translate: function (script) {
+      if (!script.parentNode) return;
+      //
+      //  Get the jax and the container and set the size
+      //
+      var jax = script.MathJax.elementJax, math = jax.root;
+      var span = document.getElementById(jax.inputID+"-Frame"); if (!span) return;
+      var container = span.firstChild, mspan = container.firstChild;
+      this.ex = jax.NativeMML.ex || this.defaultEx;
+      this.scale = jax.NativeMML.scale || 1;
+      if (this.scale !== 1) {span.style.fontSize = jax.NativeMML.fontSize}
+      //
+      //  Convert to MathML (if restarted, remove any partial math)
+      //
+      try {math.toNativeMML(mspan,jax)} catch (err) {
+        if (err.restart) {while (mspan.firstChild) {mspan.removeChild(mspan.firstChild)}}
+        throw err;
+      }
+      //
+      //  Add event handlers
+      //
+      if (isMSIE) {
+        if (container.addEventListener) {
+          for (var id in this.MSIE9events) {if (this.MSIE9events.hasOwnProperty(id)) {
+            container.addEventListener(id,this.MSIE9event,true);
+          }}
+        } else {
+          var config = (this.config.showMathMenuMSIE != null ? this : HUB).config;
+          if (config.showMathMenuMSIE && !this.settings.mpContext && !this.settings.mpMouse)
+                {this.MSIEoverlay(container)} else
+                {container.style.position = ""; mspan.firstChild.onmousedown = this.MSIEaltMenu}
+        }
+      } else {
+        container.oncontextmenu = EVENT.Menu;
+        container.onmouseover   = EVENT.Mouseover;
+        container.onmouseout    = EVENT.Mouseout;
+        container.onmousedown   = EVENT.Mousedown;
+        container.onclick       = EVENT.Click;
+        container.ondblclick    = EVENT.DblClick;
+        // Added for keyboard accessible menu.
+        container.onkeydown = EVENT.Keydown;
+        container.tabIndex = HUB.getTabOrder(jax);
+	if (HUB.Browser.noContextMenu) {
+	  container.ontouchstart = TOUCH.start;
+	  container.ontouchend   = TOUCH.end;
+	}
+      }
+    },
+
+    postTranslate: function (state) {
+      if (this.forceReflow) {
+        //
+        //  Firefox messes up some mtable's when they are dynamically created
+        //  but gets them right on a reflow, so force reflow by toggling a stylesheet
+        //
+        var sheet = (document.styleSheets||[])[0]||{};
+        sheet.disabled = true; sheet.disabled = false;
+      }
+    },
+    
+    //
+    //  Remove MathML preceding the script
+    //
+    Remove: function (jax) {
+      var span = jax.SourceElement(); if (!span) return;
+      span = span.previousSibling; if (!span) return;
+      if (span.className.match(/MathJax_MathML/)) {span.parentNode.removeChild(span)}
+    },
+    //
+    //  The namespace to use for MML
+    //
+    MMLnamespace: "http://www.w3.org/1998/Math/MathML",
+
+    isFullWidth: function (node) {
+      if (!node) return;
+      var width = node.getAttribute("width") ||
+                  (String(node.getAttribute("style")).match(/(?:^| )width: *([^; ]*)/)||[])[1];
+      if (width) return !!width.match(/%/);
+      if (node.nodeName.match(/^(semantics|math|mstyle)$/)) {
+        width = this.isFullWidth(node.firstChild);
+      } else if (node.nodeName.toLowerCase() === "mrow") {
+        for (var i = 0, m = node.childNodes.length; i < m && !width; i++)
+          width = this.isFullWidth(node.childNodes[i]);
+      }
+      if (width) {
+        var style = "width:100%; "+(node.getAttribute("style")||"");
+        node.setAttribute("style",style.replace(/ +$/,""));
+      }
+      return width;
+    },
+    
+    //
+    //  For MSIE, we must overlay the MathPlayer object to trap the events
+    //  (since they can't be cancelled when the events are on the <math> tag
+    //  itself).  The events we DON'T want are transferred to the math element,
+    //  and the others are handled directly.
+    //
+    MSIEoverlay: function (span) {
+      var math = span.firstChild;
+      if (math.nodeName.toLowerCase() === "span") {math = math.firstChild}
+      var bbox = this.getHoverBBox(null,math,{});
+      HTML.addElement(span,"span",{
+        style:{display:"inline-block", width:0, height:0, position:"relative"}
+      },[["span",{isMathJax: true, className: "MathJax_MathPlayer_Overlay",
+        style:{
+          display:"inline-block", position:"absolute",
+          left:HOVER.Px(-bbox.w), top:HOVER.Px(-bbox.h-(bbox.y||0)-1),
+          width:HOVER.Px(bbox.w), height:HOVER.Px(bbox.h+bbox.d), cursor:"pointer",
+          "background-color":"white", filter:"alpha(opacity=0)"
+        }
+      }]]);
+      HUB.Insert(span,{
+        msieMath: math,
+        onmousedown: this.MSIEevent, oncontextmenu: this.MSIEevent, onclick: this.MSIEevent,
+        onmouseup: this.MSIEevent, onmousemove: this.MSIEevent, ondblclick: this.MSIEevent,
+        onmouseover: this.MSIEevent, onmouseout: this.MSIEevent
+      });
+    },
+    MSIEevents: {
+      mousedown:"Mousedown", contextmenu:"ContextMenu", click:"Click",
+      mouseup:"Mouseup", mousemove:"Mousemove", dblclick: "DblClick",
+      mouseover:"Mouseover", mouseout:"Mouseout"
+    },
+    MSIEevent: function () {
+      var event = window.event;
+      var type = nMML.MSIEevents[event.type];
+      if (nMML[type] && nMML[type](event,this) === false) {return false}
+      if (ZOOM && ZOOM.HandleEvent(event,type,this) === false) {return false}
+      if (event.srcElement.className === "MathJax_MathPlayer_Overlay" && this.msieMath.fireEvent) {
+        //
+        //  For now, ignore all other events.  This will disable MathPlayer's zoom
+        //  feature, but also its <maction> support.
+        //
+        if (type === "ContextMenu" || type === "Mouseover" || type === "Mouseout")
+          {this.msieMath.fireEvent("on"+event.type,event)}
+      }
+      return EVENT.False(event);
+    },
+    MSIEaltMenu: function () {
+      var container = this.parentNode.parentNode;
+      while (!container.jaxID) {container = container.parentNode}
+      EVENT.AltContextMenu(window.event,container);
+    },
+
+    MSIE9events: {
+      contextmenu:"Menu", click:"Click", dblclick: "DblClick",
+      mouseup:"False", mouseover:"Mouseover", mouseout:"Mouseout"
+    },
+    MSIE9event: function (event) {
+      if (event.type === "contextmenu" && nMML.settings.mpContext) {return true}
+      if (event.type === "mouseup" && nMML.settings.mpMouse) {return true}
+      if (event.type === "click" && nMML.settings.mpContext)
+        {return EVENT.AltContextMenu(event,this)}
+      var type = nMML.MSIE9events[event.type];
+      return EVENT[type].call(this,event);
+    },
+
+    getJaxFromMath: function (math) {
+      math = math.parentNode;
+      do {math = math.nextSibling} while (math && math.nodeName.toLowerCase() !== "script");
+      return HUB.getJaxFor(math);
+    },
+    getHoverSpan: function (jax,math) {return math.firstChild},
+    getHoverBBox: function (jax,span,math) {return EVENT.getBBox(span.parentNode)},
+
+    Zoom: function (jax,span,math,Mw,Mh) {
+      jax.root.toNativeMML(span);
+      if (this.msieIE8HeightBug) {span.style.position = "absolute"}
+      if (nMML.widthBug) {span.style.width = span.parentNode.style.width = ""}
+      if (span.parentNode.style.width.match(/%$/)) 
+        {span.parentNode.style.minWidth = Math.ceil(3*Mh/4)+"px"} // for full-width tables
+      var mW = math.offsetWidth  || math.scrollWidth,
+          mH = math.offsetHeight || math.scrollHeight;
+      var zW = span.offsetWidth, zH = span.offsetHeight;
+      if (nMML.widthBug || span.style.width.match(/%/)) {
+        //
+        //  FF doesn't get width of <math> right, so get it from <mrow>
+        //
+        var W = span.firstChild.firstChild.scrollWidth;
+        if (W > zW) {zW = W; span.parentNode.style.width = span.style.minWidth = zW + "px";}
+      }
+      if (this.msieIE8HeightBug) {span.style.position = ""}
+      return {Y:-EVENT.getBBox(span.parentNode).h, mW:mW, mH:mH, zW:zW, zH:zH}
+    },
+
+    NAMEDSPACE: {
+      negativeveryverythinmathspace:  "-.0556em",
+      negativeverythinmathspace:      "-.1111em",
+      negativethinmathspace:          "-.1667em",
+      negativemediummathspace:        "-.2222em",
+      negativethickmathspace:         "-.2778em",
+      negativeverythickmathspace:     "-.3333em",
+      negativeveryverythickmathspace: "-.3889em",
+      veryverythinmathspace:          ".0556em",
+      verythinmathspace:              ".1111em",
+      thinmathspace:                  ".1667em",
+      mediummathspace:                ".2222em",
+      thickmathspace:                 ".2778em",
+      verythickmathspace:             ".3333em",
+      veryverythickmathspace:         ".3889em"
+    }
+  });
+
+  HUB.Register.StartupHook("mml Jax Ready",function () {
+
+    MML = MathJax.ElementJax.mml;
+
+    MML.mbase.Augment({
+      //
+      //  Add a MathML tag of the correct type, and set its attributes
+      //    then populate it with its children and append it to the parent
+      //
+      toNativeMML: function (parent) {
+	var tag = this.NativeMMLelement(this.type);
+	this.NativeMMLattributes(tag);
+	for (var i = 0, m = this.data.length; i < m; i++) {
+	  if (this.data[i]) {this.data[i].toNativeMML(tag)}
+	    else {tag.appendChild(this.NativeMMLelement("mrow"))}
+	}
+	parent.appendChild(tag);
+      },
+      //
+      //  Look for attributes that are different from the defaults
+      //    and set those in the tag's attribute list
+      //
+      NativeMMLattributes: function (tag) {
+	var defaults = (this.type === "mstyle" ? MML.math.prototype.defaults : this.defaults);
+        var names = (this.attrNames||MML.copyAttributeNames),
+            skip = MML.skipAttributes, copy = MML.copyAttributes;
+        if (!this.attrNames) {
+          for (var id in defaults) {if (!skip[id] && !copy[id] && defaults.hasOwnProperty(id)) {
+	    if (this[id] != null && this[id] !== defaults[id]) {
+              if (this.Get(id,null,1) !== this[id]) 
+                tag.setAttribute(id,this.NativeMMLattribute(this[id]));
+            }
+          }}
+        }
+	for (var i = 0, m = names.length; i < m; i++) {
+          if (copy[names[i]] === 1 && !defaults.hasOwnProperty(names[i])) continue;
+          var value = (this.attr||{})[names[i]]; if (value == null) {value = this[names[i]]}
+          if (value != null) {tag.setAttribute(names[i],this.NativeMMLattribute(value))}
+	}
+        this.NativeMMLclass(tag);
+      },
+      NativeMMLclass: function (tag) {
+        var CLASS = []; if (this["class"]) {CLASS.push(this["class"])}
+        if (this.isa(MML.TeXAtom)) {
+          var TEXCLASS = ["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];
+          if (TEXCLASS) {
+            CLASS.push("MJX-TeXAtom-"+TEXCLASS)
+            if (TEXCLASS === "OP" && !this.movablelimits) CLASS.push("MJX-fixedlimits");
+          }
+        }
+        if (this.mathvariant && this.NativeMMLvariants[this.mathvariant])
+          {CLASS.push("MJX"+this.mathvariant)}
+        if (this.variantForm) {CLASS.push("MJX-variant")}
+        if (CLASS.length) {tag.setAttribute("class",CLASS.join(" "))}
+      },
+      NativeMMLattribute: function (value) {
+	value = String(value);
+	if (nMML.NAMEDSPACE[value]) {value = nMML.NAMEDSPACE[value]} // MP doesn't do negative spaces
+	else if (value.match(/^\s*(([-+])?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/))
+          {value = (RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"} // FIXME:  should take scriptlevel into account
+	else if (this.NativeMMLvariants[value]) {value = this.NativeMMLvariants[value]}
+	return value;
+      },
+      NativeMMLvariants: {
+        "-tex-caligraphic":      MML.VARIANT.SCRIPT,
+        "-tex-caligraphic-bold": MML.VARIANT.BOLDSCRIPT,
+        "-tex-oldstyle":         MML.VARIANT.NORMAL,
+        "-tex-oldstyle-bold":    MML.VARIANT.BOLD,
+        "-tex-mathit":           MML.VARIANT.ITALIC
+      },
+      //
+      //  Create a MathML element
+      //
+      NativeMMLelement: function (type) {
+        var math = ( HUB.Browser.mpNamespace ? document.createElement("m:"+type) :
+                   (document.createElementNS ? document.createElementNS(nMML.MMLnamespace,type) :
+                                               document.createElement(type)));
+        math.isMathJax = true;
+        return math;
+      }
+    });
+    
+    MML.mrow.Augment({
+      //
+      //  Make inferred rows not include an mrow tag
+      //
+      toNativeMML: function (parent) {
+        var i, m;
+	if (this.inferred  && this.parent.inferRow) {
+	  for (i = 0, m = this.data.length; i < m; i++) {
+	    if (this.data[i]) {this.data[i].toNativeMML(parent)}
+	      else {parent.appendChild(this.NativeMMLelement("mrow"))}
+	  }
+	} else if (nMML.stretchyMoBug && (this.open || this.close)) {
+          //
+          // This element contains opening and/or closing fences. Opera is not
+          // able to stretch <mo> operators, so let's use an <mfenced> element
+          // instead.
+          //
+          var mfenced = this.NativeMMLelement("mfenced");
+          this.NativeMMLattributes(mfenced);
+          i = 0, m = this.data.length;
+          if (this.open) { mfenced.setAttribute("open", this.open); i++; }
+          if (this.close) { mfenced.setAttribute("close", this.close); m--; }
+          var tag = mfenced;
+          if (m - i + 1 > 1) {
+            //
+            // If there are several children, put them in an <mrow>
+            //
+            tag = this.NativeMMLelement("mrow");
+	    parent.appendChild(mfenced);
+            parent = mfenced;
+          }
+          for (; i < m; i++) {
+	    if (this.data[i]) {this.data[i].toNativeMML(tag)}
+	    else {tag.appendChild(this.NativeMMLelement("mrow"))}
+	  }
+	  parent.appendChild(tag);
+        } else {
+	  this.SUPER(arguments).toNativeMML.call(this,parent);
+	}
+      }
+    });
+
+    MML.msubsup.Augment({
+      //
+      //  Use proper version of msub, msup, or msubsup, depending on
+      //  which items are present
+      //
+      toNativeMML: function (parent) {
+	var type = this.type;
+	if (this.data[this.sup] == null) {type = "msub"}
+	if (this.data[this.sub] == null) {type = "msup"}
+	var tag = this.NativeMMLelement(type);
+	this.NativeMMLattributes(tag);
+	if (this.data[0]) {delete this.data[0].inferred}
+	for (var i = 0, m = this.data.length; i < m; i++)
+	  {if (this.data[i]) {this.data[i].toNativeMML(tag)}}
+	parent.appendChild(tag);
+      }
+    });
+
+    MML.munderover.Augment({
+      //
+      //  Use proper version of munder, mover, or munderover, depending on
+      //  which items are present.  Handle movablelimits on TeXAtom base.
+      //
+      toNativeMML: function (parent) {
+	var type = this.type;
+        var base = this.data[this.base];
+        if (base && base.isa(MML.TeXAtom) && base.movablelimits && !base.Get("displaystyle")) {
+          type = "msubsup";
+          if (this.data[this.under] == null) {type = "msup"}
+          if (this.data[this.over] == null)  {type = "msub"}
+        } else {
+          if (this.data[this.under] == null) {type = "mover"}
+          if (this.data[this.over] == null)  {type = "munder"}
+        }
+	var tag = this.NativeMMLelement(type);
+	this.NativeMMLattributes(tag);
+	if (this.data[0]) {delete this.data[0].inferred}
+	for (var i = 0, m = this.data.length; i < m; i++)
+	  {if (this.data[i]) {this.data[i].toNativeMML(tag)}}
+	parent.appendChild(tag);
+      }
+    });
+
+    if (!isMSIE) {
+      var SPLIT = HUB.SplitList;
+      MML.mtable.Augment({
+        toNativeMML: function (parent) {
+          var i, m;
+          if (nMML.tableSpacingBug) {
+            //
+            // Parse the rowspacing/columnspacing. For convenience, we convert
+            // them to a left/top padding value that will be applied to each
+            // cell. The leftmost/topmost cells will use "0px".
+            //
+            var values = this.getValues("rowspacing", "columnspacing");
+            this.nMMLtopPadding  = SPLIT("0px "+values.rowspacing);
+            this.nMMLleftPadding = SPLIT("0px "+values.columnspacing);
+            //
+            // Transmit the top padding to each row.
+            // If this.parent.nMML.topPadding does not contain enough value,
+            // repeat the last one.
+            //
+            var tp = this.nMMLtopPadding, M = tp.length;
+            for (i = 0, m = this.data.length; i < m; i++) {
+              if (this.data[i])
+                {this.data[i].nMMLtopPadding = tp[i < M ? i : M-1]}
+            }
+          }
+          if (nMML.tableLabelBug) {
+            //
+            //  Look for labeled rows so we know how to handle them
+            //
+            for (i = 0, m = this.data.length; i < m; i++) {
+              if (this.data[i] && this.data[i].isa(MML.mlabeledtr)) {
+                var align = HUB.config.displayAlign.charAt(0),
+                    side = this.Get("side").charAt(0);
+                this.nMMLhasLabels = true;
+                this.nMMLlaMatch = (align === side);
+                this.nMMLforceWidth =
+                  (align === "c" || !!((this.width||"").match("%")));
+                break;
+              }
+            }
+          }
+          //
+          //  Firefox < 13 doesn't handle width, so put it in styles instead
+          //
+          if (this.width && this.ffTableWidthBug) {
+            var styles = (this.style||"").replace(/;\s*$/,"").split(";");
+            if (styles[0] === "") {styles.shift()}
+            styles.push("width:"+this.width);
+            this.style = styles.join(";");
+          }
+          this.SUPER(arguments).toNativeMML.call(this,parent);
+          //
+          if (this.nMMLhasLabels) {
+            var mtable = parent.firstChild;
+            //
+            //  Add column attributes on the left when extra columns where inserted
+            //
+            if (this.nMMLforceWidth || side !== "r") {
+              var n = (align !== "l" ? 1 : 0) + (side === "l" ? 1 : 0);
+              if (n) {
+                var attr = {columnalign:"left", columnwidth:"auto",
+                            columnspacing:"0px", columnlines:"none"};
+                for (var id in attr) {if (attr.hasOwnProperty(id) && this[id]) {
+                  var cols = [attr[id],attr[id]].slice(2-n).join(" ")+" ";
+                  mtable.setAttribute(id,cols+mtable.getAttribute(id));
+                }}
+              }
+            }
+            //
+            //  Force the table width to 100% when needed
+            //
+            if (this.nMMLforceWidth || !this.nMMLlaMatch)
+              {mtable.setAttribute("width","100%")}
+          }
+        }
+      });
+      MML.mtr.Augment({
+        toNativeMML: function (parent) {
+          this.SUPER(arguments).toNativeMML.call(this,parent);
+          var mtr = parent.lastChild;
+          if (nMML.tableSpacingBug) {
+            //
+            // Set the row/column spacing. If this.parent.nMMLleftPadding does
+            // not contain enough value, repeat the last one.
+            //
+            var lp = this.parent.nMMLleftPadding, M = lp.length;
+            for (var mtd = mtr.firstChild, i = 0; mtd; mtd = mtd.nextSibling, i++) {
+              CELLSPACING(mtd,this.nMMLtopPadding,lp[i < M ? i : M-1]);
+            }
+          }
+
+          if (nMML.tableLabelBug) {
+            var forceWidth = this.parent.nMMLforceWidth,
+                side = this.parent.Get("side").charAt(0),
+                align = HUB.config.displayAlign.charAt(0);
+
+            if (this.parent.nMMLhasLabels && mtr.firstChild) {
+              //
+              //  If we add a label or padding column on the left of mlabeledtr,
+              //    mirror that here and remove padding from first table mtd
+              //    so the spacing is consistent with unlabeled equations
+              //
+              if (forceWidth || side !== "r") {
+                NOPADDING("Left",mtr.firstChild);
+                if (align !== "l") {
+                  mtr.insertBefore(this.NativeMMLelement("mtd"),mtr.firstChild)
+                     .setAttribute("style","padding:0");
+                }
+                if (side === "l") {
+                  mtr.insertBefore(this.NativeMMLelement("mtd"),mtr.firstChild)
+                     .setAttribute("style","padding:0");
+                }
+              }
+              //
+              //  If columns were added on the right, remove mtd padding
+              //    so that spacing is consistent with unlabled equations
+              //
+              if (forceWidth || side !== "l") {NOPADDING("Right",mtr.lastChild)}
+            }
+          }
+        }
+      });
+      MML.mlabeledtr.Augment({
+        toNativeMML: function (parent) {
+          var mtr = this.NativeMMLelement("mtr");
+          this.NativeMMLattributes(mtr);
+          //
+          //  Add row data
+          //
+          for (var i = 1, m = this.data.length; i < m; i++) {
+            if (this.data[i]) {this.data[i].toNativeMML(mtr)}
+              else {mtr.appendChild(this.NativeMMLelement("mtd"))}
+          }
+
+          if (nMML.tableSpacingBug) {
+            //
+            // Set the row/column spacing. If this.parent.nMMLleftPadding does
+            // not contain enough value, repeat the last one.
+            //
+            var lp = this.parent.nMMLleftPadding, M = lp.length; i = 0;
+            for (var mtd = mtr.firstChild; mtd; mtd = mtd.nextSibling, i++) {
+              CELLSPACING(mtd,this.nMMLtopPadding,lp[i < M ? i : M-1]);
+            }
+          }
+
+          if (nMML.tableLabelBug && this.data[0]) {
+            var side = this.parent.Get("side").charAt(0),
+                align = HUB.config.displayAlign.charAt(0),
+                indent = HUB.config.displayIndent;
+            //
+            // Create label and either set the column width (if label is on the
+            // same side as the alignment), or use mpadded to hide the label
+            // width
+            //
+            this.data[0].toNativeMML(mtr);
+            var label = mtr.lastChild, pad = label;
+            if (side === align) {
+              label.setAttribute("style","width:"+indent);
+              label.setAttribute("columnalign",HUB.config.displayAlign);
+            } else {
+              pad = this.NativeMMLelement("mpadded");
+              pad.setAttribute("style","width:0");
+              pad.setAttribute("width","0px");
+              pad.appendChild(label.firstChild);
+              label.appendChild(pad);
+            }
+            NOPADDING("",label); mtr.removeChild(label);
+            //
+            //  Get spacing to use for separation of label from main table
+            //
+            var width = 100, forceWidth = this.parent.nMMLforceWidth;
+            if ((this.parent.width||"").match(/%/)) {
+              width -= parseFloat(this.parent.width)
+            };
+            var w = width;
+            //
+            //  Add spacing (and possibly label) at the left if needed
+            //
+            if (forceWidth || side !== "r") {
+              NOPADDING("Left",mtr.firstChild);
+              if (align !== "l") {
+                if (align === "c") {w /= 2}; width -= w;
+                mtr.insertBefore(this.NativeMMLelement("mtd"),mtr.firstChild)
+                   .setAttribute("style","padding:0;width:"+w+"%");
+              }
+              if (side === "l") {mtr.insertBefore(label,mtr.firstChild)}
+            }
+            //
+            //  Add spacing (and possibly label) at the right if needed
+            //
+            if (forceWidth || side !== "l") {
+              NOPADDING("Right",mtr.lastChild);
+              if (align !== "r") {
+                mtr.appendChild(this.NativeMMLelement("mtd"))
+                   .setAttribute("style","padding:0;width:"+width+"%");
+              }
+              if (side === "r") {
+                if (side !== align) {pad.setAttribute("lspace","-1width")}
+                mtr.appendChild(label);
+              }
+            }
+          }
+          //
+          //  Add row to table
+          //
+          parent.appendChild(mtr);
+        }
+      });
+      
+      MML.mtd.Augment({
+        toNativeMML: function (parent) {
+          var tag = parent.appendChild(this.NativeMMLelement(this.type));
+          this.NativeMMLattributes(tag);
+          if (nMML.mtdWidthBug) {
+            nMML.adjustWidths.push(tag);
+            tag = tag.appendChild(this.NativeMMLelement("mrow"));
+          }
+          for (var i = 0, m = this.data.length; i < m; i++) {
+            if (this.data[i]) {this.data[i].toNativeMML(tag)}
+             else {tag.appendChild(this.NativeMMLelement("mrow"))}
+          }
+        }
+      });
+      
+      MML.mspace.Augment({
+        toNativeMML: function (parent) {
+          this.SUPER(arguments).toNativeMML.call(this,parent);
+          if (nMML.spaceWidthBug && this.width) {
+            var mspace = parent.lastChild;
+            var width = mspace.getAttribute("width");
+            var style = (mspace.getAttribute("style") || "").replace(/;?\s*/,"; ");
+            mspace.setAttribute("style",style+"width:"+width);
+          }
+        }
+      });
+      
+      MML.mn.Augment({
+        NativeMMLremapMinus: function (text) {return text.replace(/^-/,"\u2212")},
+        toNativeMML: function (parent) {
+          var tag = this.NativeMMLelement(this.type);
+          this.NativeMMLattributes(tag);
+          var remap = this.NativeMMLremapMinus;
+          for (var i = 0, m = this.data.length; i < m; i++) {
+            if (this.data[i]) {
+              this.data[i].toNativeMML(tag,remap);
+              remap = null;
+            }
+          }
+          parent.appendChild(tag);
+        }
+      });
+
+      var fontDir = AJAX.fileURL(MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf");
+
+      /*
+       *  Add fix for mathvariant issues
+       */
+      nMML.Augment({
+        config: {
+          styles: {
+            '[class="MJX-tex-oldstyle"]':             {"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},
+            '[class="MJX-tex-oldstyle-bold"]':        {"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB", "font-weight":"bold"},
+            '[class="MJX-tex-caligraphic"]':          {"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},
+            '[class="MJX-tex-caligraphic-bold"]':     {"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB", "font-weight":"bold"},
+
+            '@font-face /*1*/': {
+              "font-family": "MathJax_Caligraphic-WEB",
+              "src": "url('"+fontDir+"/MathJax_Caligraphic-Regular.otf')"
+            },
+            '@font-face /*2*/': {
+              "font-family": "MathJax_Caligraphic-WEB", "font-weight":"bold",
+              "src": "url('"+fontDir+"/MathJax_Caligraphic-Bold.otf')"
+            }
+          }
+        }
+      });
+      if (!this.handlesVariants) {
+        nMML.Augment({
+          config: {
+            styles: {
+              '[mathvariant="double-struck"]':          {"font-family":"MathJax_AMS, MathJax_AMS-WEB"},
+              '[mathvariant="script"]':                 {"font-family":"MathJax_Script, MathJax_Script-WEB"},
+              '[mathvariant="fraktur"]':                {"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},
+              '[mathvariant="bold-script"]':            {"font-family":"MathJax_Script, MathJax_Caligraphic-WEB", "font-weight":"bold"},
+              '[mathvariant="bold-fraktur"]':           {"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB", "font-weight":"bold"},
+              '[mathvariant="monospace"]':              {"font-family":"monospace"},
+              '[mathvariant="sans-serif"]':             {"font-family":"sans-serif"},
+              '[mathvariant="bold-sans-serif"]':        {"font-family":"sans-serif", "font-weight":"bold"},
+              '[mathvariant="sans-serif-italic"]':      {"font-family":"sans-serif", "font-style":"italic"},
+              '[mathvariant="sans-serif-bold-italic"]': {"font-family":"sans-serif", "font-style":"italic", "font-weight":"bold"},
+
+              '@font-face /*3*/': {
+                "font-family": "MathJax_AMS-WEB",
+                "src": "url('"+fontDir+"/MathJax_AMS-Regular.otf')"
+              },
+              '@font-face /*4*/': {
+                "font-family": "MathJax_Script-WEB",
+                "src": "url('"+fontDir+"/MathJax_Script-Regular.otf')"
+              },
+              '@font-face /*5*/': {
+                "font-family": "MathJax_Fraktur-WEB",
+                "src": "url('"+fontDir+"/MathJax_Fraktur-Regular.otf')"
+              },
+              '@font-face /*6*/': {
+                "font-family": "MathJax_Fraktur-WEB", "font-weight":"bold",
+                "src": "url('"+fontDir+"/MathJax_Fraktur-Bold.otf')"
+              }
+            }
+          }
+        });
+      }
+    }
+    
+    MML.math.Augment({
+      toNativeMML: function (parent,jax) {
+        var tag = this.NativeMMLelement(this.type), math = tag;
+        var annotate = (jax ? MathJax.InputJax[jax.inputJax].annotationEncoding : null);
+        var i, m;
+        nMML.adjustWidths = [];
+        //
+        //  Some browsers don't seem to add the xmlns attribute, so do it by hand.
+        //
+        tag.setAttribute("xmlns",nMML.MMLnamespace);
+        this.NativeMMLattributes(tag);
+        //
+        //  Use an extra <mrow> in FF so that we can get the correct width
+        //    (the math element doesn't always have an accurate one, see below)
+        //
+        if (nMML.widthBug) {tag = tag.appendChild(this.NativeMMLelement("mrow"))}
+        //
+        //  Addannotation if the input jax provides an annotation encoding
+        //
+        if (annotate) {
+          tag = tag.appendChild(this.NativeMMLelement("semantics"))
+          tag.appendChild(this.NativeMMLelement("mrow"));
+          var annotation = tag.appendChild(this.NativeMMLelement("annotation"));
+          annotation.appendChild(document.createTextNode(jax.originalText));
+          annotation.setAttribute("encoding",annotate);
+          tag = tag.firstChild; // mrow
+        }
+        //
+        //  Add the children
+        //
+        for (i = 0, m = this.data.length; i < m; i++) {
+          if (this.data[i]) {this.data[i].toNativeMML(tag)}
+            else {tag.appendChild(this.NativeMMLelement("mrow"))}
+        }
+        //
+        //  Look for a top-level mtable and if it has labels
+        //    Make sure the containers have 100% width, when needed.
+        //    If the label is on the same side as alignment,
+        //      override the margin set by the stylesheet.
+        //
+        var mtable = ((this.data[0]||{data:[]}).data[0]||{});
+        if (mtable.nMMLhasLabels) {
+          if (mtable.nMMLforceWidth || !mtable.nMMLlaMatch) {
+            tag.setAttribute("style","width:100%")  // mrow node
+            if (annotate) tag.parentNode.setAttribute("style","width:100%"); // semantics node
+          };
+          if (mtable.nMMLlaMatch) {
+            if (parent.parentNode.parentNode.nodeName.toLowerCase() === "div") {
+              parent.parentNode.parentNode.style
+                .setProperty("margin-"+HUB.config.displayAlign,"0px","important");
+            }
+          }
+        }
+        //
+        //  Check if container must have width set to 100%
+        //
+        var fullWidth = nMML.isFullWidth(math);
+        if (fullWidth) {parent.style.width = parent.parentNode.style.width = "100%"}
+        //
+        //  Add the math to the page
+        //
+        parent.appendChild(math);
+        //
+        //  Firefox can't seem to get the width of <math> elements right, so
+        //  use an <mrow> to get the actual width and set the style on the 
+        //  parent element to match.  Even if we set the <math> width properly,
+        //  it doesn't seem to propagate up to the <span> correctly.
+        //
+        if (nMML.widthBug &&!fullWidth) {
+          //
+          //  Convert size to ex's so that it scales properly if the print media
+          //    has a different font size.
+          //
+          parent.style.width = (math.firstChild.scrollWidth/nMML.ex/nMML.scale).toFixed(3) + "ex";
+          //
+          //  Save size for later when we check if Web fonts have arrived
+          //
+          if (jax) {jax.NativeMML.scrollWidth = math.firstChild.scrollWidth}
+        }
+        if (nMML.adjustWidths.length) {
+          //
+          //  Firefox gets the widths of <mtd> elements wrong, so run
+          //  through them (now that the math is part of the page) and
+          //  fix them up.  Use ex's so that they print properly (see above).
+          //
+          var mtd = [];
+          for (i = 0, m = nMML.adjustWidths.length; i < m; i++) {
+            tag = nMML.adjustWidths[i];
+            var style = tag.getAttribute("style") || "";
+            if (!style.match(/(^|;)\s*min-width:/)) {
+              var width = tag.firstChild.scrollWidth;
+              mtd.push(width);
+              width = (width/nMML.ex).toFixed(3)+"ex";
+              style = style.replace(/;?\s*$/,"; ");
+              tag.setAttribute("style",style+"min-width:"+width);
+            }
+          }
+          //
+          //  Save the lists so that we can check them later for web font downloads
+          //
+          if (!jax) {jax = HUB.getJaxFor(parent)}
+          if (jax) {jax.NativeMML.mtds = mtd}
+          math.MathJaxMtds = nMML.adjustWidths;
+          nMML.adjustWidths = []; // clear it so we don't hold onto the DOM elements
+        }
+      }
+    });
+
+    MML.mfenced.Augment({
+      toNativeMML: function (parent) {
+        if (!nMML.mfencedBug) {
+	  this.SUPER(arguments).toNativeMML.call(this,parent);
+          return;
+        }
+
+        //
+        // Some browsers do not handle <mfenced> very well. The MathML spec
+        // suggests this equivalent construction instead, so let's use it:
+        // <mrow> open, child1, sep1, child2, ... sep(N-1), childN, close</mrow>
+        // Opera is a bit special: it does not support stretchy <mo>, does not
+        // parse mfenced@open/mfenced@close very well, does not support
+        // mfenced@separators and only displays the first child of the <mfenced>
+        // element... For this browser, we will use this construction:
+        // <mfenced open="open" close="close">
+        //   <mrow>child1, sep1, child2, sep2, ..., sep(N-1), childN</mrow>
+        // </mfenced>
+        //
+        var isOpera = HUB.Browser.isOpera;
+        var i, m, operator;
+
+        //
+        // parse the open, close and separators attributes.
+        //
+        var values = this.getValues("open","close","separators");
+        values.open = values.open.replace(/^\s+/,"").replace(/\s+$/,"");
+        values.close = values.close.replace(/^\s+/,"").replace(/\s+$/,"");
+        values.separators = values.separators.replace(/\s+/g,"").split("");
+        if (values.separators.length == 0) {
+          //
+          // No separators specified, do not use separators at all.
+          //
+          values.separators = null;
+        } else if (values.separators.length < this.data.length-1) {
+          //
+          // There are not enough separators, repeat the last one.
+          //
+          var s = values.separators[values.separators.length-1];
+          for (i = this.data.length-1-values.separators.length; i > 0; i--)
+            {values.separators.push(s)}
+        }
+
+        //
+        // Create an <mrow> container and attach the attributes of the
+        // <mfenced> element to it. Note: removeAttribute does not raise any
+        // exception when the attributes is absent.
+        //
+        var tag = this.NativeMMLelement(isOpera ? this.type : "mrow");
+        this.NativeMMLattributes(tag);
+        tag.removeAttribute("separators");
+        if (isOpera) {
+          tag.setAttribute("open", values.open);
+          tag.setAttribute("close", values.close);
+          if (this.data.length > 1) {
+            parent.appendChild(tag); parent = tag;
+            tag = this.NativeMMLelement("mrow");
+          }
+        } else {
+          tag.removeAttribute("open");
+          tag.removeAttribute("close");
+        }
+
+        if (!isOpera) {
+          //
+          // Append the opening fence
+          // 
+          operator = this.NativeMMLelement("mo");
+          operator.setAttribute("fence", "true");
+          operator.textContent = values.open;
+          tag.appendChild(operator);
+        }
+
+        //
+        // Append the content of the <mfenced>
+        //
+        for (i = 0, m = this.data.length; i < m; i++) {
+          if (values.separators && i > 0) {
+            operator = this.NativeMMLelement("mo");
+            operator.setAttribute("separator", "true");
+            operator.textContent = values.separators[i-1];
+            tag.appendChild(operator);
+          }
+	  if (this.data[i]) {this.data[i].toNativeMML(tag)}
+            else {tag.appendChild(this.NativeMMLelement("mrow"))}
+        }
+
+        if (!isOpera) {
+          //
+          // Append the closing fence
+          //
+          operator = this.NativeMMLelement("mo");
+          operator.setAttribute("fence", "true");
+          operator.textContent = values.close;
+          tag.appendChild(operator);
+        }
+
+        // finally, append the new element to the parent.
+        parent.appendChild(tag);
+      }
+    });
+
+    MML.TeXAtom.Augment({
+      //
+      //  Convert TeXatom to an mrow
+      //
+      toNativeMML: function (parent) {
+	// FIXME:  Handle spacing using mpadded?
+	var tag = this.NativeMMLelement("mrow");
+	this.NativeMMLattributes(tag);
+	this.data[0].toNativeMML(tag);
+	parent.appendChild(tag);
+      }
+    });
+
+    MML.chars.Augment({
+      //
+      //  Add a text node
+      //
+      toNativeMML: function (parent,remap) {
+        var text = this.toString();
+        if (remap) text = remap(text);
+	parent.appendChild(document.createTextNode(text));
+      }
+    });
+
+    MML.entity.Augment({
+      //
+      //  Add a text node
+      //
+      toNativeMML: function (parent) {
+	parent.appendChild(document.createTextNode(this.toString()));
+      }
+    });
+    
+    MML.xml.Augment({
+      //
+      //  Insert the XML verbatim
+      //
+      toNativeMML: function (parent) {
+        for (var i = 0, m = this.data.length; i < m; i++)
+          {parent.appendChild(this.data[i].cloneNode(true))}
+      }
+    });
+
+    MML.mi.Augment({
+      toNativeMML: function (parent) {
+        this.SUPER(arguments).toNativeMML.call(this,parent);
+        if (nMML.miItalicBug) {
+          if (this.Get("mathvariant") === MML.VARIANT.NORMAL) {
+            //
+            // When not explicitly specified, mathvariant is set to "italic"
+            // with single char mi and to "normal" with multiple char mi.
+            // Some browsers always set the default to "italic", so let's
+            // attach an explicit mathvariant="normal" attribute.
+            //
+            var mi = parent.lastChild;
+            mi.setAttribute("mathvariant",MML.VARIANT.NORMAL);
+          }
+        }
+      }
+    });
+
+    MML.mo.Augment({
+      toNativeMML: function (parent) {
+        this.SUPER(arguments).toNativeMML.call(this,parent);
+        if (nMML.webkitMoSpacingBug) {
+          //
+          // WebKit does not support lspace/rspace values around operators
+          // (neither explicit nor given by the operator dictionary) and uses
+          // constant values instead. So let's modify the CSS properties here.
+          //
+
+          var lspace = 0, rspace = 0, p = this.parent;
+          if (p && p.type === "mrow" && (p.inferred || !p.isEmbellished())) {
+            //
+            // Retrieve the values of lspace/rspace and convert named spaces.
+            // Other values (except unitless) will be parsed by the CSS engine.
+            //
+            var values = this.getValues("lspace", "rspace");
+            lspace = values.lspace, rspace = values.rspace;
+            if (nMML.NAMEDSPACE[lspace]) {lspace = nMML.NAMEDSPACE[lspace]}
+            if (nMML.NAMEDSPACE[rspace]) {rspace = nMML.NAMEDSPACE[rspace]}
+          }
+
+          //
+          // Now update -webkit-margin-start and -webkit-margin-end.
+          //
+          var mo = parent.lastChild;
+          var span = HTML.Element("span");
+          span.style.cssText = (mo.getAttribute("style")||"");
+          span.style.setProperty("-webkit-margin-start", lspace);
+          span.style.setProperty("-webkit-margin-end", rspace);
+          mo.setAttribute("style",span.style.cssText);
+        }
+      }
+    });
+
+    MML.mmultiscripts.Augment({
+      toNativeMML: function (parent) {
+        //
+        // Some browsers do not implement the mmultiscripts element.
+        // Try to emulate the support using basic script elements.
+        //
+        if (!nMML.mmultiscriptsBug || this.data.length === 0) {
+          this.SUPER(arguments).toNativeMML.call(this,parent);
+          return;
+        }
+
+        //
+        // The children of the mmultiscripts will be wrapped in an mrow so that
+        // attributes and properties set on the original mmultiscripts will
+        // be reflected on this mrow element.
+        //
+        var tag = this.NativeMMLelement("mrow");
+        this.NativeMMLattributes(tag);
+
+        //
+        // Create the base
+        //
+        if (this.data[0]) {this.data[0].toNativeMML(tag)}
+        else {tag.appendChild(this.NativeMMLelement("mrow"))}
+        var base = tag.removeChild(tag.lastChild);
+
+        //
+        // Process the postscript pairs
+        //
+        var m = this.data.length, i, msubsup;
+        for (i = 1; i < m; i+=2) {
+          if (this.data[i].type === "mprescripts") break;
+
+          msubsup = this.NativeMMLelement("msubsup");
+          msubsup.appendChild(base);
+
+          //
+          // append the subscript
+          //
+          if (this.data[i]) {this.data[i].toNativeMML(msubsup)}
+          else {msubsup.appendChild(this.NativeMMLelement("mrow"))}
+
+          //
+          // append the supscript
+          //
+          if (i+1 < m && this.data[i+1]) {this.data[i+1].toNativeMML(msubsup)}
+          else {msubsup.appendChild(this.NativeMMLelement("mrow"))}
+
+          base = msubsup;
+        }
+
+        tag.appendChild(base);
+
+        //
+        // Process the prescript pairs
+        //
+        for (i++; i < m; i+=2) {
+          msubsup = this.NativeMMLelement("msubsup");
+          msubsup.appendChild(this.NativeMMLelement("mrow"));
+
+          //
+          // append the presubscript
+          //
+          if (this.data[i]) {this.data[i].toNativeMML(msubsup)}
+          else {msubsup.appendChild(this.NativeMMLelement("mrow"))}
+
+          //
+          // append the presupscript
+          //
+          if (i+1 < m && this.data[i+1]) {this.data[i+1].toNativeMML(msubsup)}
+          else {msubsup.appendChild(this.NativeMMLelement("mrow"))}
+
+          tag.insertBefore(msubsup, base);
+        }
+
+        parent.appendChild(tag);
+      }
+    });
+
+    HUB.Register.StartupHook("TeX mathchoice Ready",function () {
+      MML.TeXmathchoice.Augment({
+	//
+	//  Get the MathML for the selected choice
+	//
+	toNativeMML: function (parent) {this.Core().toNativeMML(parent)}
+      });
+    });
+
+    //
+    //  Loading isn't complete until the element jax is modified,
+    //  but can't call loadComplete within the callback for "mml Jax Ready"
+    //  (it would call NativeMML's Require routine, asking for the mml jax again)
+    //  so wait until after the mml jax has finished processing.
+    //
+    setTimeout(MathJax.Callback(["loadComplete",nMML,"jax.js"]),0);
+  });
+  
+
+  //
+  //  Determine browser characteristics
+  //
+  HUB.Browser.Select({
+    MSIE: function (browser) {
+      var mode = (document.documentMode || 0);
+      nMML.msieIE8HeightBug = (mode === 8);
+    },
+    Opera: function (browser) {
+      nMML.stretchyMoBug = true;
+      nMML.tableLabelBug = true;
+      nMML.mfencedBug = true;
+      nMML.miBug = true;
+      nMML.mmultiscriptsBug = true;
+    },
+    Firefox: function (browser) {
+      var is29 = browser.versionAtLeast("29.0");
+      nMML.ffTableWidthBug = !browser.versionAtLeast("13.0"); // <mtable width="xx"> not implemented
+      nMML.forceReflow = !is29;    // <mtable> with alignments set don't display properly without a reflow
+      nMML.widthBug = !is29;       // <math> elements don't always get the correct width
+      nMML.mtdWidthBug = true;     // <mtd> widths not properly determined
+      nMML.handlesVariants = is29; // FF >=29 handles all math variants
+
+      // In Firefox < 20, the intrinsic width of <mspace> is not computed
+      // correctly and thus the element is displayed incorrectly in <mtable>.
+      nMML.spaceWidthBug = !browser.versionAtLeast("20.0");
+
+      // mtable@rowspacing/mtable@columnspacing not supported.
+      nMML.tableSpacingBug = !browser.versionAtLeast("33.0");
+      nMML.tableLabelBug = true;   // mlabeledtr is not implemented.
+      nMML.mfencedBug = true;      // mfenced not displayed correctly
+    },
+    Chrome: function (browser) {
+      nMML.tableSpacingBug = true;
+      nMML.tableLabelBug = true;
+      nMML.mfencedBug = true;
+    },
+    Safari: function (browser) {
+      nMML.tableSpacingBug = true;
+      nMML.tableLabelBug = true;
+      nMML.mfencedBug = true;
+      nMML.miItalicBug = true;
+      nMML.webkitMoSpacingBug = true;
+      nMML.spaceWidthBug = true;
+      nMML.mmultiscriptsBug = true;
+    }
+  });
+  
+
+  HUB.Register.StartupHook("End Cookie",function () {
+    if (HUB.config.menuSettings.zoom !== "None")
+      {AJAX.Require("[MathJax]/extensions/MathZoom.js")}
+  });
+
+})(MathJax.OutputJax.NativeMML, MathJax.Hub, MathJax.Ajax, MathJax.HTML);
+// @license-end