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      <h1><a name="parsing" id="parsing"></a>A Parsing MathML
      </h1>
      <!-- TOP NAVIGATION BAR -->
      <div class="minitoc">
         
           Overview: <a href="overview-d.html">Mathematical Markup Language (MathML) Version 2.0 (Second Edition)</a><br>
           Previous: 8 <a href="chapter8-d.html">Document Object Model for MathML</a><br>
           Next: B <a href="appendixb-d.html">Content Markup Validation Grammar</a><br><br>A <a href="appendixa-d.html">Parsing MathML</a><br>&nbsp;&nbsp;&nbsp;&nbsp;A.1 <a href="appendixa-d.html#parsing.wellformed">Use of MathML as Well-Formed
            XML</a><br>&nbsp;&nbsp;&nbsp;&nbsp;A.2 <a href="appendixa-d.html#parsing.usingdtdt">Using the MathML DTD</a><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;A.2.1 <a href="appendixa-d.html#parsing.doctype">DOCTYPE declaration for MathML</a><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;A.2.2 <a href="appendixa-d.html#parsing.dtd.param">DTD Parameters</a><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;A.2.2.1 <a href="appendixa-d.html#parsing.dtd.prefix">Namespace Prefix</a><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;A.2.2.2 <a href="appendixa-d.html#parsing.dtd.strict">Additional DTD Checking</a><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;A.2.3 <a href="appendixa-d.html#parsing.module">MathML as a DTD Module</a><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;A.2.4 <a href="appendixa-d.html#parsing.sgml">SGML</a><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;A.2.5 <a href="appendixa-d.html#parsing.dtd">The MathML DTD</a><br>&nbsp;&nbsp;&nbsp;&nbsp;A.3 <a href="appendixa-d.html#parsing.usingxsd">Using the MathML XML Schema</a><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;A.3.1 <a href="appendixa-d.html#parsing.schemalocation">Associating the MathML schema with MathML fragments</a><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;A.3.2 <a href="appendixa-d.html#parsing-charents">Character entity references</a><br></div>
      <div class="div1">
         <div class="diff-add">
            <div class="div2">
               
               <h2><a name="parsing.wellformed" id="parsing.wellformed"></a>A.1 Use of MathML as Well-Formed
                  XML
               </h2>
               <p>A MathML document must be a well-formed XML documents using elements in
                  the MathML namespace as defined by this specification, however it is
                  not required that the document refer to any specific Document Type
                  Definition (DTD) or schema that specifies MathML. It is sometimes
                  advantagous <em>not</em> to specify such a language definition as
                  these files are large, often much larger than the MathML expression
                  and unless they have been previously cached by the MathML application,
                  the time taken to fetch the DTD or schema may have an appreciable
                  effect on the processing of the MathML document.
               </p>
               <p>Note also that if no DTD is specified with a DOCTYPE declaration,
                  that entity references (for example to refer to MathML characters by
                  name) may not be used. The document should be encoded in an encoding
                  (for example UTF-8) in which all needed characters may be encoded as
                  character data, or characters may be referenced using numeric
                  character references, for example &amp;#x222B; rather than &amp;int;
               </p>
               <p>If a MathML fragment is parsed without a DTD, in other words as a
                  well-formed XML fragment, it is the responsibility of the processing
                  application to treat the white space characters occurring
                  outside of token elements as not significant.
               </p>
               <p>However, in many circumstances, especially while producing or
                  editing MathML, it is useful to use a language definition, to
                  constrain the editing process or to check the correctness of generated
                  files. The following section, <a href="appendixa-d.html#parsing.usingdtdt">Section&nbsp;A.2 Using the MathML DTD</a>,
                  discusses the MathML DTD, which forms a normative part of the
                  specification. Following that, <a href="appendixa-d.html#parsing.usingxsd">Section&nbsp;A.3 Using the MathML XML Schema</a>,
                  discusses an alternative language definition using the W3C XML schema
                  language, <a href="appendixk-d.html#XMLSchemas">[XMLSchemas]</a>. One should note that the
                  schema definition of the language is currently stricter than the DTD
                  version. That is, a schema validating processor will
                  declare invalid documents that are declared valid by a (DTD)
                  validating XML parser. This is partly due to the fact that the XML schema
                  language may express additional constraints not expressable in the
                  DTD, and partly due to the fact that for 
                  reasons of compatibility with earlier releases, the DTD is
                  intentionally forgiving in some places and does not enforce
                  constraints that are specified in the text of this specification.
               </p>
            </div><a href="appendixj-d.html#d0e55736"><sub class="diff-link">J</sub></a></div>
         <div class="div2">
            
            <h2><a name="parsing.usingdtdt" id="parsing.usingdtdt"></a>A.2 Using the MathML DTD
            </h2>
            <div class="div3">
               
               <h3><a name="parsing.doctype" id="parsing.doctype"></a>A.2.1 DOCTYPE declaration for MathML
               </h3>
               <p>MathML documents should be validated using the XML DTD for
                  MathML,
                  <span class="diff-chg"><a href="http://www.w3.org/Math/DTD/mathml2/mathml2.dtd">http://www.w3.org/Math/DTD/mathml2/mathml2.dtd</a><a href="appendixj-d.html#d0e55741"><sub class="diff-link">J</sub></a></span>,
                  which is also shown below in 
                  <a href="appendixa-d.html#parsing.dtd">Section&nbsp;A.2.5 The MathML DTD</a>.
               </p>
               <p>Documents using this DTD should contain a doctype declaration
                  of the form:
                  
               </p>
               <div class="diff-chg"><pre>
&lt;!DOCTYPE math 
    PUBLIC "-//W3C//DTD MathML 2.0//EN"
           "http://www.w3.org/Math/DTD/mathml2/mathml2.dtd"
&gt;
</pre><a href="appendixj-d.html#d0e55741"><sub class="diff-link">J</sub></a></div>
               <p>
                  The URI may be changed to that of a local copy
                  of the DTD if required.
               </p>
            </div>
            <div class="div3">
               
               <h3><a name="parsing.dtd.param" id="parsing.dtd.param"></a>A.2.2 DTD Parameters
               </h3>
               <p>The MathML DTD has several parameter entities that may be used to
                  customise the behaviour of the XML parser.  In the examples below
                  these parameter entites are shown being used in the <em>internal
                     subset</em> of the DTD, i.e. within <code>[]</code> inside the
                  <code>&lt;!DOCTYPE</code> declaration. If the MathML DTD is being used
                  as a module in a larger document type, then these parameters entities
                  may be set in the combined DTD and need not be explictly set in
                  individual document instances. For example the combined XHTML + MathML
                  DTD described below in <a href="appendixa-d.html#parsing.module">Section&nbsp;A.2.3 MathML as a DTD Module</a> sets each of
                  these parameters to appropriate defaults.
               </p>
               <div class="diff-chg">
                  <div class="div4">
                     
                     <h4><a name="parsing.dtd.prefix" id="parsing.dtd.prefix"></a>A.2.2.1 Namespace Prefix
                     </h4>
                     <p>It is sometimes necessary, or convenient, to
                        use the mechanisms described in <a href="appendixk-d.html#Modularization">[Modularization]</a>
                         which provide a namespace prefix on
                        MathML element names. The DTD below is designed to allow this usage.
                        If the parameter entity <code>MATHML.prefixed</code> is declared to be 
                        INCLUDE, using a declaration such as
                        
                     </p><pre>
&lt;!ENTITY % MATHML.prefixed "INCLUDE" &gt;
</pre><p>
                        either in the internal subset of the DOCTYPE declaration, or in the
                        DTD file that is including the MathML DTD, then all MathML elements
                        should be used with a prefix, for example <code>&lt;m:mrow&gt;</code>,
                        <code>&lt;m:apply&gt;</code>, etc. The prefix defaults to <code>m</code>
                        but another prefix  may be declared by
                        declaring in addition the parameter entity <code>MathML.prefix</code>.
                        For example,
                        
                     </p><pre>
&lt;!ENTITY % MATHML.prefix   "mml" &gt;
</pre><p>
                        would set the prefix for the MathML namespace to <code>mml</code>.
                     </p>
                     <p>So a complete declaration for a document using this prefix could be:
                        
                     </p><pre>
&lt;!DOCTYPE mml:math 
    PUBLIC "-//W3C//DTD MathML 2.0//EN"
           "http://www.w3.org/Math/DTD/mathml2/mathml2.dtd" [
    &lt;!ENTITY % MATHML.prefixed "INCLUDE"&gt;
    &lt;!ENTITY % MATHML.prefix "mml"&gt;
]&gt;
&lt;mml:math&gt;
...
</pre><p>
                        This use of parameter entities to control namespace prefixes
                        follows the conventions specified in <a href="appendixk-d.html#Modularization">[Modularization]</a>.
                     </p>
                     <p>In addition to the prefix for the MathML namespace, the DTD
                        allows similar customization of other prefixes that may be used
                        in attributes. The Xlink  and W3C XML schema instance namespaces 
                        may be used with this DTD, with default prefixes <code>xlink</code>
                        and <code>xsi</code> respectively. The entities <code>XLINK.prefix</code> and
                        <code>Schema.prefix</code> may be set in the same way as
                        <code>MATHML.prefix</code> above to use different prefixes. As these
                        namespaces are used for attribute names, they must be used with
                        explict prefixes, so there is no analogue of the
                        <code>MATHML.prefixed</code> parameter in these cases.
                        The following example uses the <code>s:schemaLocation</code> attribute (which is
                        described below in <a href="appendixa-d.html#parsing.schemalocation">Section&nbsp;A.3.1 Associating the MathML schema with MathML fragments</a>)
                        with a non standard prefix, and uses a parameter entity in the internal
                        subset of the DTD so that the file may be DTD valid as well as
                        schema valid.
                     </p><pre>
&lt;!DOCTYPE math 
    PUBLIC "-//W3C//DTD MathML 2.0//EN"
           "http://www.w3.org/Math/DTD/mathml2/mathml2.dtd" [
    &lt;!ENTITY % Schema.prefix "s"&gt;
]&gt;
&lt;math xmlns="http://www.w3.org/1998/Math/MathML"
      xmlns:s="http://www.w3.org/2001/XMLSchema-instance"
      s:schemaLocation="http://www.w3.org/1998/Math/MathML 
                        http://www.w3.org/Math/XMLSchema/mathml2/mathml2.xsd"&gt;

...
</pre><p>Note that while the <a href="appendixk-d.html#Namespaces">[Namespaces]</a> Recommendation provides
                        mechanisms to change the prefix at arbitrary points in the document,
                        this flexibility is <em>not provided</em> in this DTD (and is probably not
                        possible to specify in any DTD).
                     </p>
                  </div><a href="appendixj-d.html#d0e55748"><sub class="diff-link">J</sub></a></div>
               <div class="diff-add">
                  <div class="div4">
                     
                     <h4><a name="parsing.dtd.strict" id="parsing.dtd.strict"></a>A.2.2.2 Additional DTD Checking
                     </h4>
                     <p>For reasons of backward compatibility, there are several
                        constraints specified in this specification that are <em>not</em>
                        enforced by the DTD by default. There are many constraints in the
                        specification that may not be enforced by a DTD, however there
                        are some additional constraints that could be checked.
                        The parameter entity <code>MathMLStrict</code>
                         may be set to <code>INCLUDE</code> to activate
                        these stricter checks.
                     </p>
                     <p>The syntax to set the parameter is as the same as for the
                        previous examples:
                        
                     </p><pre>
&lt;!DOCTYPE math 
    PUBLIC "-//W3C//DTD MathML 2.0//EN"
           "http://www.w3.org/Math/DTD/mathml2/mathml2.dtd" [
    &lt;!ENTITY % MathMLstrict "INCLUDE"&gt;
]&gt;
</pre><p>If this strict checking is enabled, the DTD will enforce that
                        <code>mfrac</code> has exactly two child elements. Similarly for
                        <code>msub</code>, <code>mover</code>, etc. The values of several
                        attributes will be checked, for example the value of
                        <code>mathvariant</code> is constrained to the list specified in <a href="chapter3-d.html#presm.commatt">Section&nbsp;3.2.2 Mathematics style attributes common to token
                           elements</a>. The DTD will check
                        that table makup, <code>mtr</code> and <code>mtd</code>, is only used correctly
                        nested in <code>mtable</code>. Finally the use of Presentation MathML
                        elements within  Content MathML is restricted to those elements listed
                        in section <a href="chapter5-d.html#mixing.pmincm">Section&nbsp;5.2.3 Presentation Markup Contained in Content Markup</a>.
                     </p>
                  </div><a href="appendixj-d.html#d0e55748"><sub class="diff-link">J</sub></a></div>
            </div>
            <div class="div3">
               
               <h3><a name="parsing.module" id="parsing.module"></a>A.2.3 MathML as a DTD Module
               </h3>
               <p>Normally, however, a MathML expression does not constitute an entire
                  XML document. MathML is designed to be used as the mathematics fragment
                  of larger markup languages. In particular it is designed to be used
                  as a <em>module</em> in documents marked up with the XHTML 
                  family of markup languages, as defined in
                  <a href="appendixk-d.html#Modularization">[Modularization]</a>. As a convenience, a version of the
                  <a href="http://www.w3.org/Math/DTD/mathml2/xhtml-math11-f.dtd">XHTML DTD,
                     extended with this MathML module</a>,  is also provided as a 
                  concrete example. This version
                  includes all the necessary declarations included into one file (in contrast
                  to the standalone version of the MathML DTD which references several files
                  for entity declarations etc.).
                  To use this DTD, a document should contain the doctype declaration
                  
               </p>
               <div class="diff-chg"><pre>
&lt;!DOCTYPE html
    PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN"
           "http://www.w3.org/Math/DTD/mathml2/xhtml-math11-f.dtd"
&gt;
</pre><a href="appendixj-d.html#d0e55741"><sub class="diff-link">J</sub></a></div>
               <p>
                  as above, the URI may be altered to that of a local copy of the DTD,
                  and the namespace prefixes used for XHTML and MathML may be
                  controlled by the use of parameter entities.
               </p>
            </div>
            <div class="div3">
               
               <h3><a name="parsing.sgml" id="parsing.sgml"></a>A.2.4 SGML
               </h3>
               <p>If required, one may validate MathML documents using an SGML
                  parser such as <code>nsgmls</code>,  
                  rather than a validating XML parser.
                  In this case an SGML declaration defining the
                  constraints of XML applicable to an SGML parser must be used.
                  See <span class="diff-chg"><a href="appendixk-d.html#sgml-xml">[sgml-xml]</a><a href="appendixj-d.html#d0e55755"><sub class="diff-link">J</sub></a></span>.
               </p>
            </div>
            <div class="div3">
               
               <h3><a name="parsing.dtd" id="parsing.dtd"></a>A.2.5 The MathML DTD
               </h3>
               <p>The entity declarations for characters are referenced
                  at the end of the DTD.
                  These are linked to the character tables in <a href="chapter6-d.html">Chapter&nbsp;6 Characters, Entities and Fonts</a>
                  for each entity set.
               </p>
               <p>Lists of the combined MathML set of character names, ordered by
                  <a href="byalpha-d.html">name</a> or by 
                  <a href="bycodes-d.html">Unicode value</a> are also available.
               </p>
               <p>In order to accommodate XML namespace prefixes, the DTD does not
                  directly refer to an element name such as <code>mrow</code>
                  but instead always refers to the name via a parameter entity such as
                  <code>%mrow.qname;</code>. The definitions of these parameter
                  entities are in the file <a href="http://www.w3.org/Math/DTD/mathml2/mathml2-qname-1.mod"></a>
                  but are not shown here. They are simply declarations such as
                  the following, one for each MathML element.
                  
               </p><pre>
&lt;!ENTITY % mrow.qname           "%MATHML.pfx;mrow" &gt;
</pre><p>Here we give the main
                  body of the DTD. The full DTD, as well as the XHTML-Math DTD, is available
                  as a <a href="http://www.w3.org/Math/DTD/mathml2.tgz">gzipped tar archive</a>.
               </p><pre>
&lt;!-- MathML 2.0 DTD  ....................................................... --&gt;
&lt;!-- file: mathml2.dtd
--&gt;

&lt;!-- MathML 2.0 DTD

     This is the Mathematical Markup Language (MathML) 2.0, an XML
     application for describing mathematical notation and capturing
     both its structure and content.

     Copyright &amp;#xa9; 1998-2003 W3C&amp;#xae; (MIT, ERCIM, Keio), All Rights 
     Reserved. W3C liability, trademark, document use and software
     licensing rules apply. 

     Permission to use, copy, modify and distribute the MathML 2.0 DTD and
     its accompanying documentation for any purpose and without fee is
     hereby granted in perpetuity, provided that the above copyright notice
     and this paragraph appear in all copies.  The copyright holders make
     no representation about the suitability of the DTD for any purpose.

     It is provided "as is" without expressed or implied warranty.

        Revision:   $Id: appendixa-d.html,v 1.1 2003/10/20 19:36:55 mf Exp $

     This entity may be identified by the PUBLIC and SYSTEM identifiers:

       PUBLIC "-//W3C//DTD MathML 2.0//EN"
       SYSTEM "mathml2.dtd"

     Revisions: editor and revision history at EOF
--&gt;
<span class="diff-add">&lt;!-- Entity used to enable marked sections which enforces stricter<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">     checking of MathML syntax rules<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
--&gt;
<span class="diff-add"><a name="pent.MathMLstrict" id="pent.MathMLstrict"></a>&lt;!ENTITY % MathMLstrict "IGNORE"&gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>

&lt;!-- MathML Qualified Names module ............................... --&gt;
<a name="pent.mathml.qname.module" id="pent.mathml.qname.module"></a>&lt;!ENTITY % mathml-qname.module "INCLUDE" &gt;
&lt;![<a href="appendixa-d.html#pent.mathml.qname.module">%mathml-qname.module;</a>[
<a name="pent.mathml.qname.mod" id="pent.mathml.qname.mod"></a>&lt;!ENTITY % mathml-qname.mod
     PUBLIC "-//W3C//ENTITIES MathML 2.0 Qualified Names 1.0//EN"
            "mathml2-qname-1.mod" &gt;
<a href="appendixa-d.html#pent.mathml.qname.mod">%mathml-qname.mod;</a>]]&gt;

&lt;!-- if <a href="appendixa-d.html#pent.mathml.qname.module">%NS.prefixed;</a> is INCLUDE, include all NS attributes, 
     otherwise just those associated with MathML
--&gt;
&lt;![<a href="appendixa-d.html#pent.mathml.qname.module">%NS.prefixed;</a>[
  &lt;!ENTITY % MATHML.NamespaceDecl.attrib 
         "<a href="appendixa-d.html#pent.mathml.qname.module">%NamespaceDecl.attrib;</a>"
&gt;
]]&gt;
<a name="pent.MATHML.NamespaceDecl.attrib" id="pent.MATHML.NamespaceDecl.attrib"></a>&lt;!ENTITY % MATHML.NamespaceDecl.attrib 
     "<a href="appendixa-d.html#pent.mathml.qname.module">%MATHML.xmlns.attrib;</a>"
&gt;


&lt;!-- Attributes shared by all elements  .......................... --&gt;

<a name="pent.MATHML.Common.attrib" id="pent.MATHML.Common.attrib"></a>&lt;!ENTITY % MATHML.Common.attrib
     "<a href="appendixa-d.html#pent.MATHML.NamespaceDecl.attrib">%MATHML.NamespaceDecl.attrib;</a>
<span class="diff-add">      <a href="appendixa-d.html#pent.mathml.qname.module">%XLINK.prefix;</a>:href   CDATA           #IMPLIED<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-chg">      <a href="appendixa-d.html#pent.mathml.qname.module">%XLINK.prefix;</a>:type   CDATA           #IMPLIED<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
      class        CDATA                    #IMPLIED
      style        CDATA                    #IMPLIED
      id           ID                       #IMPLIED
      xref         IDREF                    #IMPLIED
      other        CDATA                    #IMPLIED"
&gt;

&lt;!-- Presentation element set  ................................... --&gt;

&lt;!-- Attribute definitions --&gt;

<a name="pent.att.fontsize" id="pent.att.fontsize"></a>&lt;!ENTITY % att-fontsize
     "fontsize     CDATA                    #IMPLIED" &gt;
<a name="pent.att.fontweight" id="pent.att.fontweight"></a>&lt;!ENTITY % att-fontweight
     "fontweight   ( normal | bold )        #IMPLIED" &gt;
<a name="pent.att.fontstyle" id="pent.att.fontstyle"></a>&lt;!ENTITY % att-fontstyle
     "fontstyle    ( normal | italic )      #IMPLIED" &gt;
<a name="pent.att.fontfamily" id="pent.att.fontfamily"></a>&lt;!ENTITY % att-fontfamily
     "fontfamily   CDATA                    #IMPLIED" &gt;
<a name="pent.att.color" id="pent.att.color"></a>&lt;!ENTITY % att-color
     "color        CDATA                    #IMPLIED" &gt;

&lt;!-- MathML2 typographically-distinguished symbol attributes --&gt;

<span class="diff-add">&lt;![<a href="appendixa-d.html#pent.MathMLstrict">%MathMLstrict;</a>[
  &lt;!ENTITY % att-mathvariant
     "mathvariant     ( normal | bold | italic | bold-italic | double-struck | 
                        bold-fraktur | script | bold-script | fraktur |
                        sans-serif | bold-sans-serif | sans-serif-italic |
                        sans-serif-bold-italic | monospace )
                                                                   #IMPLIED" &gt;
]]&gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<a name="pent.att.mathvariant" id="pent.att.mathvariant"></a>&lt;!ENTITY % att-mathvariant
     "mathvariant     CDATA                    #IMPLIED" &gt;
<a name="pent.att.mathsize" id="pent.att.mathsize"></a>&lt;!ENTITY % att-mathsize
     "mathsize     CDATA                    #IMPLIED" &gt;
<a name="pent.att.mathcolor" id="pent.att.mathcolor"></a>&lt;!ENTITY % att-mathcolor
     "mathcolor     CDATA                    #IMPLIED" &gt;
<a name="pent.att.mathbackground" id="pent.att.mathbackground"></a>&lt;!ENTITY % att-mathbackground
     "mathbackground     CDATA                    #IMPLIED" &gt;

<a name="pent.att.fontinfo" id="pent.att.fontinfo"></a>&lt;!ENTITY % att-fontinfo
     "<a href="appendixa-d.html#pent.att.fontsize">%att-fontsize;</a>
      <a href="appendixa-d.html#pent.att.fontweight">%att-fontweight;</a>
      <a href="appendixa-d.html#pent.att.fontstyle">%att-fontstyle;</a>
      <a href="appendixa-d.html#pent.att.fontfamily">%att-fontfamily;</a>
      <a href="appendixa-d.html#pent.att.color">%att-color;</a>
      <a href="appendixa-d.html#pent.att.mathvariant">%att-mathvariant;</a>
      <a href="appendixa-d.html#pent.att.mathsize">%att-mathsize;</a>
      <a href="appendixa-d.html#pent.att.mathcolor">%att-mathcolor;</a>
      <a href="appendixa-d.html#pent.att.mathbackground">%att-mathbackground;</a>"
&gt;

<a name="pent.att.form" id="pent.att.form"></a>&lt;!ENTITY % att-form
     "form         ( prefix | infix | postfix )  #IMPLIED" &gt;
<a name="pent.att.fence" id="pent.att.fence"></a>&lt;!ENTITY % att-fence
     "fence        ( true | false )         #IMPLIED" &gt;
<a name="pent.att.separator" id="pent.att.separator"></a>&lt;!ENTITY % att-separator
     "separator    ( true | false )         #IMPLIED" &gt;
<a name="pent.att.lspace" id="pent.att.lspace"></a>&lt;!ENTITY % att-lspace
     "lspace       CDATA                    #IMPLIED" &gt;
<a name="pent.att.rspace" id="pent.att.rspace"></a>&lt;!ENTITY % att-rspace
     "rspace       CDATA                    #IMPLIED" &gt;
<a name="pent.att.stretchy" id="pent.att.stretchy"></a>&lt;!ENTITY % att-stretchy
     "stretchy     ( true | false )         #IMPLIED" &gt;
<a name="pent.att.symmetric" id="pent.att.symmetric"></a>&lt;!ENTITY % att-symmetric
     "symmetric    ( true | false )         #IMPLIED" &gt;
<a name="pent.att.maxsize" id="pent.att.maxsize"></a>&lt;!ENTITY % att-maxsize
     "maxsize      CDATA                    #IMPLIED" &gt;
<a name="pent.att.minsize" id="pent.att.minsize"></a>&lt;!ENTITY % att-minsize
     "minsize      CDATA                    #IMPLIED" &gt;
<a name="pent.att.largeop" id="pent.att.largeop"></a>&lt;!ENTITY % att-largeop
     "largeop      ( true | false)          #IMPLIED" &gt;
<a name="pent.att.movablelimits" id="pent.att.movablelimits"></a>&lt;!ENTITY % att-movablelimits
     "movablelimits ( true | false )        #IMPLIED" &gt;
<a name="pent.att.accent" id="pent.att.accent"></a>&lt;!ENTITY % att-accent
     "accent       ( true | false )         #IMPLIED" &gt;

<a name="pent.att.opinfo" id="pent.att.opinfo"></a>&lt;!ENTITY % att-opinfo
     "<a href="appendixa-d.html#pent.att.form">%att-form;</a>
      <a href="appendixa-d.html#pent.att.fence">%att-fence;</a>
      <a href="appendixa-d.html#pent.att.separator">%att-separator;</a>
      <a href="appendixa-d.html#pent.att.lspace">%att-lspace;</a>
      <a href="appendixa-d.html#pent.att.rspace">%att-rspace;</a>
      <a href="appendixa-d.html#pent.att.stretchy">%att-stretchy;</a>
      <a href="appendixa-d.html#pent.att.symmetric">%att-symmetric;</a>
      <a href="appendixa-d.html#pent.att.maxsize">%att-maxsize;</a>
      <a href="appendixa-d.html#pent.att.minsize">%att-minsize;</a>
      <a href="appendixa-d.html#pent.att.largeop">%att-largeop;</a>
      <a href="appendixa-d.html#pent.att.movablelimits">%att-movablelimits;</a>
      <a href="appendixa-d.html#pent.att.accent">%att-accent;</a>"
&gt;
<a name="pent.att.width" id="pent.att.width"></a>&lt;!ENTITY % att-width
     "width        CDATA                    #IMPLIED" &gt;
<a name="pent.att.height" id="pent.att.height"></a>&lt;!ENTITY % att-height
     "height       CDATA                    #IMPLIED" &gt;
<a name="pent.att.depth" id="pent.att.depth"></a>&lt;!ENTITY % att-depth
     "depth        CDATA                    #IMPLIED" &gt;
<a name="pent.att.linebreak" id="pent.att.linebreak"></a>&lt;!ENTITY % att-linebreak
     "linebreak    CDATA                    #IMPLIED" &gt;
<a name="pent.att.sizeinfo" id="pent.att.sizeinfo"></a>&lt;!ENTITY % att-sizeinfo
     "<a href="appendixa-d.html#pent.att.width">%att-width;</a>
      <a href="appendixa-d.html#pent.att.height">%att-height;</a>
      <a href="appendixa-d.html#pent.att.depth">%att-depth;</a>"
&gt;
<a name="pent.att.lquote" id="pent.att.lquote"></a>&lt;!ENTITY % att-lquote               
     "lquote       CDATA                    #IMPLIED" &gt;
<a name="pent.att.rquote" id="pent.att.rquote"></a>&lt;!ENTITY % att-rquote               
     "rquote       CDATA                    #IMPLIED" &gt;
<a name="pent.att.linethickness" id="pent.att.linethickness"></a>&lt;!ENTITY % att-linethickness        
     "linethickness CDATA                   #IMPLIED" &gt;
<a name="pent.att.scriptlevel" id="pent.att.scriptlevel"></a>&lt;!ENTITY % att-scriptlevel          
     "scriptlevel  CDATA                    #IMPLIED" &gt;
<a name="pent.att.displaystyle" id="pent.att.displaystyle"></a>&lt;!ENTITY % att-displaystyle         
     "displaystyle ( true | false )         #IMPLIED" &gt;
<a name="pent.att.scriptsizemultiplier" id="pent.att.scriptsizemultiplier"></a>&lt;!ENTITY % att-scriptsizemultiplier 
     "scriptsizemultiplier CDATA            #IMPLIED" &gt;
<a name="pent.att.scriptminsize" id="pent.att.scriptminsize"></a>&lt;!ENTITY % att-scriptminsize        
     "scriptminsize CDATA                   #IMPLIED" &gt;
<a name="pent.att.background" id="pent.att.background"></a>&lt;!ENTITY % att-background           
     "background   CDATA                    #IMPLIED" &gt;
<a name="pent.att.veryverythinmathspace" id="pent.att.veryverythinmathspace"></a>&lt;!ENTITY % att-veryverythinmathspace           
     "veryverythinmathspace   CDATA         #IMPLIED" &gt;
<a name="pent.att.verythinmathspace" id="pent.att.verythinmathspace"></a>&lt;!ENTITY % att-verythinmathspace           
     "verythinmathspace   CDATA             #IMPLIED" &gt;
<a name="pent.att.thinmathspace" id="pent.att.thinmathspace"></a>&lt;!ENTITY % att-thinmathspace           
     "thinmathspace   CDATA                 #IMPLIED" &gt;
<a name="pent.att.mediummathspace" id="pent.att.mediummathspace"></a>&lt;!ENTITY % att-mediummathspace           
     "mediummathspace   CDATA               #IMPLIED" &gt;
<a name="pent.att.thickmathspace" id="pent.att.thickmathspace"></a>&lt;!ENTITY % att-thickmathspace           
     "thickmathspace   CDATA                #IMPLIED" &gt;
<a name="pent.att.verythickmathspace" id="pent.att.verythickmathspace"></a>&lt;!ENTITY % att-verythickmathspace           
     "verythickmathspace   CDATA            #IMPLIED" &gt;
<a name="pent.att.veryverythickmathspace" id="pent.att.veryverythickmathspace"></a>&lt;!ENTITY % att-veryverythickmathspace           
     "veryverythickmathspace   CDATA        #IMPLIED" &gt;
<a name="pent.att.open" id="pent.att.open"></a>&lt;!ENTITY % att-open                 
     "open         CDATA                    #IMPLIED" &gt;
<a name="pent.att.close" id="pent.att.close"></a>&lt;!ENTITY % att-close                
     "close        CDATA                    #IMPLIED" &gt;
<a name="pent.att.separators" id="pent.att.separators"></a>&lt;!ENTITY % att-separators          
     "separators   CDATA                    #IMPLIED" &gt;
<a name="pent.att.subscriptshift" id="pent.att.subscriptshift"></a>&lt;!ENTITY % att-subscriptshift       
     "subscriptshift CDATA                  #IMPLIED" &gt;
<a name="pent.att.superscriptshift" id="pent.att.superscriptshift"></a>&lt;!ENTITY % att-superscriptshift     
     "superscriptshift CDATA                #IMPLIED" &gt;
<a name="pent.att.accentunder" id="pent.att.accentunder"></a>&lt;!ENTITY % att-accentunder          
     "accentunder  ( true | false )         #IMPLIED" &gt;
<a name="pent.att.align" id="pent.att.align"></a>&lt;!ENTITY % att-align       
     "align        CDATA                    #IMPLIED" &gt;
<span class="diff-add">&lt;![<a href="appendixa-d.html#pent.MathMLstrict">%MathMLstrict;</a>[
<span class="diff-chg">  &lt;!ENTITY % att-numalign<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
     "numalign     ( left | center | right )         #IMPLIED" &gt;
  &lt;!ENTITY % att-denomalign
     "denomalign   ( left | center | right )         #IMPLIED" &gt;
]]&gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add"><a name="pent.att.numalign" id="pent.att.numalign"></a>&lt;!ENTITY % att-numalign<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">     "numalign        CDATA                    #IMPLIED" &gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add"><a name="pent.att.denomalign" id="pent.att.denomalign"></a>&lt;!ENTITY % att-denomalign<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">     "denomalign        CDATA                    #IMPLIED" &gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add"><a name="pent.att-rowalign-list" id="pent.att-rowalign-list"></a>&lt;!ENTITY % att-rowalign-list<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">     "rowalign     CDATA                    #IMPLIED" &gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add"><a name="pent.att-columnalign-list" id="pent.att-columnalign-list"></a>&lt;!ENTITY % att-columnalign-list<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">     "columnalign  CDATA                    #IMPLIED" &gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">&lt;![<a href="appendixa-d.html#pent.MathMLstrict">%MathMLstrict;</a>[
  &lt;!ENTITY % att-rowalign
     "rowalign     ( top | bottom |	center | baseline | axis )    #IMPLIED" &gt;
  &lt;!ENTITY % att-columnalign
     "columnalign  ( left | center | right )        #IMPLIED" &gt;
]]&gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<a name="pent.att.rowalign" id="pent.att.rowalign"></a>&lt;!ENTITY % att-rowalign      
     "rowalign     CDATA                    #IMPLIED" &gt;
<a name="pent.att.columnalign" id="pent.att.columnalign"></a>&lt;!ENTITY % att-columnalign     
     "columnalign  CDATA                    #IMPLIED" &gt;
<a name="pent.att.columnwidth" id="pent.att.columnwidth"></a>&lt;!ENTITY % att-columnwidth   
     "columnwidth  CDATA                    #IMPLIED" &gt;
<span class="diff-add"><a name="pent.att-groupalign-list" id="pent.att-groupalign-list"></a>&lt;!ENTITY % att-groupalign-list<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">     "groupalign   CDATA                    #IMPLIED" &gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">&lt;![<a href="appendixa-d.html#pent.MathMLstrict">%MathMLstrict;</a>[
  &lt;!ENTITY % att-groupalign
     "groupalign   ( left | right | center | decimalpoint )   #IMPLIED" &gt;
]]&gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<a name="pent.att.groupalign" id="pent.att.groupalign"></a>&lt;!ENTITY % att-groupalign      
     "groupalign   CDATA                    #IMPLIED" &gt;
<a name="pent.att.alignmentscope" id="pent.att.alignmentscope"></a>&lt;!ENTITY % att-alignmentscope 
     "alignmentscope CDATA                  #IMPLIED" &gt;
<a name="pent.att.rowspacing" id="pent.att.rowspacing"></a>&lt;!ENTITY % att-rowspacing           
     "rowspacing   CDATA                    #IMPLIED" &gt;
<a name="pent.att.columnspacing" id="pent.att.columnspacing"></a>&lt;!ENTITY % att-columnspacing      
     "columnspacing CDATA                   #IMPLIED" &gt;
<a name="pent.att.rowlines" id="pent.att.rowlines"></a>&lt;!ENTITY % att-rowlines            
     "rowlines     CDATA                    #IMPLIED" &gt;
<a name="pent.att.columnlines" id="pent.att.columnlines"></a>&lt;!ENTITY % att-columnlines        
     "columnlines  CDATA                    #IMPLIED" &gt;
<a name="pent.att.frame" id="pent.att.frame"></a>&lt;!ENTITY % att-frame            
     "frame       ( none | solid | dashed ) #IMPLIED" &gt;
<span class="diff-add"><a name="pent.att.side" id="pent.att.side"></a>&lt;!ENTITY % att-side<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">     "side       ( left | right | leftoverlap | rightoverlap ) #IMPLIED" &gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<a name="pent.att.framespacing" id="pent.att.framespacing"></a>&lt;!ENTITY % att-framespacing         
     "framespacing CDATA                    #IMPLIED" &gt;
<span class="diff-add"><a name="pent.att.minlabelspacing" id="pent.att.minlabelspacing"></a>&lt;!ENTITY % att-minlabelspacing<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">     "minlabelspacing CDATA                 #IMPLIED" &gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">&lt;![<a href="appendixa-d.html#pent.MathMLstrict">%MathMLstrict;</a>[
  &lt;!ENTITY % att-equalrows
     "equalrows    ( true | false )         #IMPLIED" &gt;
  &lt;!ENTITY % att-equalcolumns
     "equalcolumns ( true | false )         #IMPLIED" &gt;
]]&gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<a name="pent.att.equalrows" id="pent.att.equalrows"></a>&lt;!ENTITY % att-equalrows        
     "equalrows    CDATA                    #IMPLIED" &gt;
<a name="pent.att.equalcolumns" id="pent.att.equalcolumns"></a>&lt;!ENTITY % att-equalcolumns         
     "equalcolumns CDATA                    #IMPLIED" &gt;

<a name="pent.att.tableinfo" id="pent.att.tableinfo"></a>&lt;!ENTITY % att-tableinfo            
     "<a href="appendixa-d.html#pent.att.align">%att-align;</a>
<span class="diff-chg">      <a href="appendixa-d.html#pent.att-rowalign-list">%att-rowalign-list;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-chg">      <a href="appendixa-d.html#pent.att-columnalign-list">%att-columnalign-list;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
      <a href="appendixa-d.html#pent.att.columnwidth">%att-columnwidth;</a>
<span class="diff-chg">      <a href="appendixa-d.html#pent.att-groupalign-list">%att-groupalign-list;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
      <a href="appendixa-d.html#pent.att.alignmentscope">%att-alignmentscope;</a>
<span class="diff-add">      <a href="appendixa-d.html#pent.att.side">%att-side;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
      <a href="appendixa-d.html#pent.att.rowspacing">%att-rowspacing;</a>
      <a href="appendixa-d.html#pent.att.columnspacing">%att-columnspacing;</a>
      <a href="appendixa-d.html#pent.att.rowlines">%att-rowlines;</a>
      <a href="appendixa-d.html#pent.att.columnlines">%att-columnlines;</a>
<span class="diff-add">      <a href="appendixa-d.html#pent.att.width">%att-width;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
      <a href="appendixa-d.html#pent.att.frame">%att-frame;</a>
      <a href="appendixa-d.html#pent.att.framespacing">%att-framespacing;</a>
<span class="diff-add">      <a href="appendixa-d.html#pent.att.minlabelspacing">%att-minlabelspacing;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
      <a href="appendixa-d.html#pent.att.equalrows">%att-equalrows;</a>
      <a href="appendixa-d.html#pent.att.equalcolumns">%att-equalcolumns;</a>
      <a href="appendixa-d.html#pent.att.displaystyle">%att-displaystyle;</a>" 
&gt;

<a name="pent.att.rowspan" id="pent.att.rowspan"></a>&lt;!ENTITY % att-rowspan              
     "rowspan      CDATA                    #IMPLIED" &gt;
<a name="pent.att.columnspan" id="pent.att.columnspan"></a>&lt;!ENTITY % att-columnspan           
     "columnspan   CDATA                    #IMPLIED" &gt;
<a name="pent.att.edge" id="pent.att.edge"></a>&lt;!ENTITY % att-edge        
     "edge         ( left | right )         #IMPLIED" &gt;
<a name="pent.att.actiontype" id="pent.att.actiontype"></a>&lt;!ENTITY % att-actiontype          
     "actiontype   CDATA                    #IMPLIED" &gt;
<a name="pent.att.selection" id="pent.att.selection"></a>&lt;!ENTITY % att-selection       
     "selection    CDATA                    #IMPLIED" &gt;

<a name="pent.att.name" id="pent.att.name"></a>&lt;!ENTITY % att-name                 
     "name         CDATA                    #IMPLIED" &gt;
<a name="pent.att.alt" id="pent.att.alt"></a>&lt;!ENTITY % att-alt              
     "alt          CDATA                    #IMPLIED" &gt;
<a name="pent.att.index" id="pent.att.index"></a>&lt;!ENTITY % att-index           
     "index        CDATA                    #IMPLIED" &gt;

<span class="diff-add">&lt;![<a href="appendixa-d.html#pent.MathMLstrict">%MathMLstrict;</a>[
  &lt;!ENTITY % att-bevelled
     "bevelled      ( true | false )        #IMPLIED" &gt;
]]&gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<a name="pent.att.bevelled" id="pent.att.bevelled"></a>&lt;!ENTITY % att-bevelled       
     "bevelled      CDATA                    #IMPLIED" &gt;

&lt;!-- Presentation schemata with content --&gt;

<a name="pent.ptoken" id="pent.ptoken"></a>&lt;!ENTITY % ptoken                   
     "%mi.qname; | %mn.qname; | %mo.qname;
      | %mtext.qname; | %ms.qname;" &gt;

<a name="attr.mi.qname" id="attr.mi.qname"></a><a href="appendixa-d.html#elem.mi.qname">&lt;!ATTLIST</a> %mi.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.fontinfo">%att-fontinfo;</a>
&gt;

<a name="attr.mn.qname" id="attr.mn.qname"></a><a href="appendixa-d.html#elem.mn.qname">&lt;!ATTLIST</a> %mn.qname;      
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a> 
      <a href="appendixa-d.html#pent.att.fontinfo">%att-fontinfo;</a>
&gt;

<a name="attr.mo.qname" id="attr.mo.qname"></a><a href="appendixa-d.html#elem.mo.qname">&lt;!ATTLIST</a> %mo.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a> 
      <a href="appendixa-d.html#pent.att.fontinfo">%att-fontinfo;</a>
      <a href="appendixa-d.html#pent.att.opinfo">%att-opinfo;</a>
&gt;

<a name="attr.mtext.qname" id="attr.mtext.qname"></a><a href="appendixa-d.html#elem.mtext.qname">&lt;!ATTLIST</a> %mtext.qname;  
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.fontinfo">%att-fontinfo;</a>
&gt;

<a name="attr.ms.qname" id="attr.ms.qname"></a><a href="appendixa-d.html#elem.ms.qname">&lt;!ATTLIST</a> %ms.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.fontinfo">%att-fontinfo;</a>
      <a href="appendixa-d.html#pent.att.lquote">%att-lquote;</a>
      <a href="appendixa-d.html#pent.att.rquote">%att-rquote;</a>
&gt;

&lt;!-- Empty presentation schemata --&gt;

<a name="pent.petoken" id="pent.petoken"></a>&lt;!ENTITY % petoken                  
     "%mspace.qname;" &gt;
<a name="elem.mspace.qname" id="elem.mspace.qname"></a><a href="appendixa-d.html#attr.mspace.qname">&lt;!ELEMENT</a> %mspace.qname;  EMPTY &gt;

<a name="attr.mspace.qname" id="attr.mspace.qname"></a><a href="appendixa-d.html#elem.mspace.qname">&lt;!ATTLIST</a> %mspace.qname; 
      <a href="appendixa-d.html#pent.att.sizeinfo">%att-sizeinfo;</a>
      <a href="appendixa-d.html#pent.att.linebreak">%att-linebreak;</a>
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

&lt;!-- Presentation: general layout schemata --&gt;

<a name="pent.pgenschema" id="pent.pgenschema"></a>&lt;!ENTITY % pgenschema               
     "%mrow.qname; | %mfrac.qname; | %msqrt.qname; | %mroot.qname; 
      | %menclose.qname; | %mstyle.qname; | %merror.qname; 
      | %mpadded.qname; | %mphantom.qname; | %mfenced.qname;" &gt;

<a name="attr.mrow.qname" id="attr.mrow.qname"></a><a href="appendixa-d.html#elem.mrow.qname">&lt;!ATTLIST</a> %mrow.qname;        
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.mfrac.qname" id="attr.mfrac.qname"></a><a href="appendixa-d.html#elem.mfrac.qname">&lt;!ATTLIST</a> %mfrac.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
<span class="diff-add">      <a href="appendixa-d.html#pent.att.bevelled">%att-bevelled;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">      <a href="appendixa-d.html#pent.att.numalign">%att-numalign;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">      <a href="appendixa-d.html#pent.att.denomalign">%att-denomalign;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
      <a href="appendixa-d.html#pent.att.linethickness">%att-linethickness;</a>
&gt;

<a name="attr.msqrt.qname" id="attr.msqrt.qname"></a><a href="appendixa-d.html#elem.msqrt.qname">&lt;!ATTLIST</a> %msqrt.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.menclose.qname" id="attr.menclose.qname"></a><a href="appendixa-d.html#elem.menclose.qname">&lt;!ATTLIST</a> %menclose.qname;  
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      notation CDATA 'longdiv' &gt;

<a name="attr.mroot.qname" id="attr.mroot.qname"></a><a href="appendixa-d.html#elem.mroot.qname">&lt;!ATTLIST</a> %mroot.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.mstyle.qname" id="attr.mstyle.qname"></a><a href="appendixa-d.html#elem.mstyle.qname">&lt;!ATTLIST</a> %mstyle.qname;  
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.fontinfo">%att-fontinfo;</a>
      <a href="appendixa-d.html#pent.att.opinfo">%att-opinfo;</a>
      <a href="appendixa-d.html#pent.att.lquote">%att-lquote;</a>
      <a href="appendixa-d.html#pent.att.rquote">%att-rquote;</a>
      <a href="appendixa-d.html#pent.att.linethickness">%att-linethickness;</a>
      <a href="appendixa-d.html#pent.att.scriptlevel">%att-scriptlevel;</a>
      <a href="appendixa-d.html#pent.att.scriptsizemultiplier">%att-scriptsizemultiplier;</a>
      <a href="appendixa-d.html#pent.att.scriptminsize">%att-scriptminsize;</a>
      <a href="appendixa-d.html#pent.att.background">%att-background;</a>
      <a href="appendixa-d.html#pent.att.veryverythinmathspace">%att-veryverythinmathspace;</a>
      <a href="appendixa-d.html#pent.att.verythinmathspace">%att-verythinmathspace;</a>
      <a href="appendixa-d.html#pent.att.thinmathspace">%att-thinmathspace;</a>
      <a href="appendixa-d.html#pent.att.mediummathspace">%att-mediummathspace;</a>
      <a href="appendixa-d.html#pent.att.thickmathspace">%att-thickmathspace;</a>
      <a href="appendixa-d.html#pent.att.verythickmathspace">%att-verythickmathspace;</a>
      <a href="appendixa-d.html#pent.att.veryverythickmathspace">%att-veryverythickmathspace;</a>
      <a href="appendixa-d.html#pent.att.open">%att-open;</a>
      <a href="appendixa-d.html#pent.att.close">%att-close;</a>
      <a href="appendixa-d.html#pent.att.separators">%att-separators;</a>
      <a href="appendixa-d.html#pent.att.subscriptshift">%att-subscriptshift;</a>
      <a href="appendixa-d.html#pent.att.superscriptshift">%att-superscriptshift;</a>
      <a href="appendixa-d.html#pent.att.accentunder">%att-accentunder;</a>
      <a href="appendixa-d.html#pent.att.tableinfo">%att-tableinfo;</a>
      <a href="appendixa-d.html#pent.att.rowspan">%att-rowspan;</a>
      <a href="appendixa-d.html#pent.att.columnspan">%att-columnspan;</a>
      <a href="appendixa-d.html#pent.att.edge">%att-edge;</a>
      <a href="appendixa-d.html#pent.att.selection">%att-selection;</a>
<span class="diff-chg">      <a href="appendixa-d.html#pent.att.bevelled">%att-bevelled;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">      <a href="appendixa-d.html#pent.att.height">%att-height;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">      <a href="appendixa-d.html#pent.att.depth">%att-depth;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
&gt;

<a name="attr.merror.qname" id="attr.merror.qname"></a><a href="appendixa-d.html#elem.merror.qname">&lt;!ATTLIST</a> %merror.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.mpadded.qname" id="attr.mpadded.qname"></a><a href="appendixa-d.html#elem.mpadded.qname">&lt;!ATTLIST</a> %mpadded.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.sizeinfo">%att-sizeinfo;</a>
      <a href="appendixa-d.html#pent.att.lspace">%att-lspace;</a>
&gt;

<a name="attr.mphantom.qname" id="attr.mphantom.qname"></a><a href="appendixa-d.html#elem.mphantom.qname">&lt;!ATTLIST</a> %mphantom.qname;      
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.mfenced.qname" id="attr.mfenced.qname"></a><a href="appendixa-d.html#elem.mfenced.qname">&lt;!ATTLIST</a> %mfenced.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.open">%att-open;</a>
      <a href="appendixa-d.html#pent.att.close">%att-close;</a>
      <a href="appendixa-d.html#pent.att.separators">%att-separators;</a>
&gt;

&lt;!-- Presentation layout schemata: scripts and limits --&gt;

<a name="pent.pscrschema" id="pent.pscrschema"></a>&lt;!ENTITY % pscrschema               
     "%msub.qname; | %msup.qname; | %msubsup.qname; | %munder.qname; 
      | %mover.qname; | %munderover.qname; | %mmultiscripts.qname;" &gt;

<a name="attr.msub.qname" id="attr.msub.qname"></a><a href="appendixa-d.html#elem.msub.qname">&lt;!ATTLIST</a> %msub.qname;      
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.subscriptshift">%att-subscriptshift;</a>
&gt;

<a name="attr.msup.qname" id="attr.msup.qname"></a><a href="appendixa-d.html#elem.msup.qname">&lt;!ATTLIST</a> %msup.qname;         
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.superscriptshift">%att-superscriptshift;</a>
&gt;

<a name="attr.msubsup.qname" id="attr.msubsup.qname"></a><a href="appendixa-d.html#elem.msubsup.qname">&lt;!ATTLIST</a> %msubsup.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.subscriptshift">%att-subscriptshift;</a>
      <a href="appendixa-d.html#pent.att.superscriptshift">%att-superscriptshift;</a>
&gt;

<a name="attr.munder.qname" id="attr.munder.qname"></a><a href="appendixa-d.html#elem.munder.qname">&lt;!ATTLIST</a> %munder.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.accentunder">%att-accentunder;</a>
&gt;

<a name="attr.mover.qname" id="attr.mover.qname"></a><a href="appendixa-d.html#elem.mover.qname">&lt;!ATTLIST</a> %mover.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.accent">%att-accent;</a>
&gt;

<a name="attr.munderover.qname" id="attr.munderover.qname"></a><a href="appendixa-d.html#elem.munderover.qname">&lt;!ATTLIST</a> %munderover.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.accent">%att-accent;</a>
      <a href="appendixa-d.html#pent.att.accentunder">%att-accentunder;</a>
&gt;

<a name="attr.mmultiscripts.qname" id="attr.mmultiscripts.qname"></a><a href="appendixa-d.html#elem.mmultiscripts.qname">&lt;!ATTLIST</a> %mmultiscripts.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.subscriptshift">%att-subscriptshift;</a>
      <a href="appendixa-d.html#pent.att.superscriptshift">%att-superscriptshift;</a>
&gt;

&lt;!-- Presentation layout schemata: empty elements for scripts --&gt;

<a name="pent.pscreschema" id="pent.pscreschema"></a>&lt;!ENTITY % pscreschema              
     "%mprescripts.qname; | %none.qname;" &gt;

<a name="elem.mprescripts.qname" id="elem.mprescripts.qname"></a><a href="appendixa-d.html#attr.mprescripts.qname">&lt;!ELEMENT</a> %mprescripts.qname;  EMPTY &gt;
<a name="attr.mprescripts.qname" id="attr.mprescripts.qname"></a><a href="appendixa-d.html#elem.mprescripts.qname">&lt;!ATTLIST</a> %mprescripts.qname;   
      <a href="appendixa-d.html#pent.mathml.qname.module">%MATHML.xmlns.attrib;</a> &gt;

<a name="elem.none.qname" id="elem.none.qname"></a><a href="appendixa-d.html#attr.none.qname">&lt;!ELEMENT</a> %none.qname;  EMPTY &gt;
<a name="attr.none.qname" id="attr.none.qname"></a><a href="appendixa-d.html#elem.none.qname">&lt;!ATTLIST</a> %none.qname;    
      <a href="appendixa-d.html#pent.mathml.qname.module">%MATHML.xmlns.attrib;</a> &gt;

&lt;!-- Presentation layout schemata: tables --&gt;

<span class="diff-add">&lt;![<a href="appendixa-d.html#pent.MathMLstrict">%MathMLstrict;</a>[
&lt;!-- in strict mode only allow mtable at top level.
     mtr ,mlabledtr and mtd only allowed inside mtable.
--&gt;
  &lt;!ENTITY % ptabschema    "%mtable.qname;" &gt;
]]&gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>

<a name="pent.ptabschema" id="pent.ptabschema"></a>&lt;!ENTITY % ptabschema               
     "%mtable.qname; | %mtr.qname; | %mlabeledtr.qname; | %mtd.qname;" &gt;

<a name="attr.mtable.qname" id="attr.mtable.qname"></a><a href="appendixa-d.html#elem.mtable.qname">&lt;!ATTLIST</a> %mtable.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.tableinfo">%att-tableinfo;</a>
&gt;

<a name="attr.mtr.qname" id="attr.mtr.qname"></a><a href="appendixa-d.html#elem.mtr.qname">&lt;!ATTLIST</a> %mtr.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.rowalign">%att-rowalign;</a>
<span class="diff-chg">      <a href="appendixa-d.html#pent.att-columnalign-list">%att-columnalign-list;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-chg">      <a href="appendixa-d.html#pent.att-groupalign-list">%att-groupalign-list;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
&gt;

<a name="attr.mlabeledtr.qname" id="attr.mlabeledtr.qname"></a><a href="appendixa-d.html#elem.mlabeledtr.qname">&lt;!ATTLIST</a> %mlabeledtr.qname;  
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.rowalign">%att-rowalign;</a>
<span class="diff-chg">      <a href="appendixa-d.html#pent.att-columnalign-list">%att-columnalign-list;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-chg">      <a href="appendixa-d.html#pent.att-groupalign-list">%att-groupalign-list;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
&gt;

<a name="attr.mtd.qname" id="attr.mtd.qname"></a><a href="appendixa-d.html#elem.mtd.qname">&lt;!ATTLIST</a> %mtd.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.rowalign">%att-rowalign;</a>
      <a href="appendixa-d.html#pent.att.columnalign">%att-columnalign;</a>
<span class="diff-chg">      <a href="appendixa-d.html#pent.att-groupalign-list">%att-groupalign-list;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
      <a href="appendixa-d.html#pent.att.rowspan">%att-rowspan;</a>
      <a href="appendixa-d.html#pent.att.columnspan">%att-columnspan;</a>
&gt;
<a name="pent.plschema" id="pent.plschema"></a>&lt;!ENTITY % plschema                 
     "<a href="appendixa-d.html#pent.pgenschema">%pgenschema;</a> | <a href="appendixa-d.html#pent.pscrschema">%pscrschema;</a> | <a href="appendixa-d.html#pent.ptabschema">%ptabschema;</a>" &gt;

&lt;!-- Empty presentation layout schemata --&gt;

<a name="pent.peschema" id="pent.peschema"></a>&lt;!ENTITY % peschema                 
     "%maligngroup.qname; | %malignmark.qname;" &gt;

<a name="elem.malignmark.qname" id="elem.malignmark.qname"></a><a href="appendixa-d.html#attr.malignmark.qname">&lt;!ELEMENT</a> %malignmark.qname;  EMPTY &gt;

<a name="attr.malignmark.qname" id="attr.malignmark.qname"></a><a href="appendixa-d.html#elem.malignmark.qname">&lt;!ATTLIST</a> %malignmark.qname;  
      <a href="appendixa-d.html#pent.att.edge">%att-edge;</a> &gt;

<a name="elem.maligngroup.qname" id="elem.maligngroup.qname"></a><a href="appendixa-d.html#attr.maligngroup.qname">&lt;!ELEMENT</a> %maligngroup.qname;  EMPTY &gt;
<a name="attr.maligngroup.qname" id="attr.maligngroup.qname"></a><a href="appendixa-d.html#elem.maligngroup.qname">&lt;!ATTLIST</a> %maligngroup.qname;  
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.groupalign">%att-groupalign;</a>
&gt;


<a name="elem.mglyph.qname" id="elem.mglyph.qname"></a><a href="appendixa-d.html#attr.mglyph.qname">&lt;!ELEMENT</a> %mglyph.qname;  EMPTY &gt;
<a name="attr.mglyph.qname" id="attr.mglyph.qname"></a><a href="appendixa-d.html#elem.mglyph.qname">&lt;!ATTLIST</a> %mglyph.qname;    
      <a href="appendixa-d.html#pent.att.alt">%att-alt;</a>
      <a href="appendixa-d.html#pent.att.fontfamily">%att-fontfamily;</a>
      <a href="appendixa-d.html#pent.att.index">%att-index;</a> &gt;

&lt;!-- Presentation action schemata --&gt;

<a name="pent.pactions" id="pent.pactions"></a>&lt;!ENTITY % pactions                 
     "%maction.qname;" &gt;
<a name="attr.maction.qname" id="attr.maction.qname"></a><a href="appendixa-d.html#elem.maction.qname">&lt;!ATTLIST</a> %maction.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.actiontype">%att-actiontype;</a>
      <a href="appendixa-d.html#pent.att.selection">%att-selection;</a>
&gt;

&lt;!-- The following entity for substitution into
     content constructs excludes elements that
     are not valid as expressions.
--&gt;

<a name="pent.PresInCont" id="pent.PresInCont"></a>&lt;!ENTITY % PresInCont               
     "<a href="appendixa-d.html#pent.ptoken">%ptoken;</a> | <a href="appendixa-d.html#pent.petoken">%petoken;</a> |
      <a href="appendixa-d.html#pent.plschema">%plschema;</a> | <a href="appendixa-d.html#pent.peschema">%peschema;</a> | <a href="appendixa-d.html#pent.pactions">%pactions;</a>" &gt;

&lt;!-- Presentation entity: all presentation constructs --&gt;


<span class="diff-add">&lt;![<a href="appendixa-d.html#pent.MathMLstrict">%MathMLstrict;</a>[
&lt;!-- In strict mode don't allow prescripts and none at top level.--&gt;
  &lt;!ENTITY % Presentation "<a href="appendixa-d.html#pent.PresInCont">%PresInCont;</a>"&gt;             
]]&gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<a name="pent.Presentation" id="pent.Presentation"></a>&lt;!ENTITY % Presentation             
     "<a href="appendixa-d.html#pent.ptoken">%ptoken;</a> | <a href="appendixa-d.html#pent.petoken">%petoken;</a> | <a href="appendixa-d.html#pent.pscreschema">%pscreschema;</a> |
      <a href="appendixa-d.html#pent.plschema">%plschema;</a> | <a href="appendixa-d.html#pent.peschema">%peschema;</a> | <a href="appendixa-d.html#pent.pactions">%pactions;</a>"&gt;

&lt;!-- Content element set  ........................................ --&gt;

&lt;!-- Attribute definitions --&gt;

<a name="pent.att.base" id="pent.att.base"></a>&lt;!ENTITY % att-base                 
     "base         CDATA                    '10'" &gt;
<a name="pent.att.closure" id="pent.att.closure"></a>&lt;!ENTITY % att-closure              
     "closure      CDATA                    'closed'" &gt;
<a name="pent.att.definition" id="pent.att.definition"></a>&lt;!ENTITY % att-definition           
     "definitionURL CDATA                   ''" &gt;
<a name="pent.att.encoding" id="pent.att.encoding"></a>&lt;!ENTITY % att-encoding             
     "encoding     CDATA                    ''" &gt;
<a name="pent.att.nargs" id="pent.att.nargs"></a>&lt;!ENTITY % att-nargs             
     "nargs        CDATA                    '1'" &gt;
<a name="pent.att.occurrence" id="pent.att.occurrence"></a>&lt;!ENTITY % att-occurrence           
     "occurrence   CDATA                    'function-model'" &gt;
<a name="pent.att.order" id="pent.att.order"></a>&lt;!ENTITY % att-order   
     "order        CDATA                    'numeric'" &gt;
<a name="pent.att.scope" id="pent.att.scope"></a>&lt;!ENTITY % att-scope                
     "scope        CDATA                    'local'" &gt;
<a name="pent.att.type" id="pent.att.type"></a>&lt;!ENTITY % att-type                 
     "type         CDATA                    #IMPLIED" &gt;

&lt;!-- Content elements: leaf nodes --&gt;

<a name="pent.ctoken" id="pent.ctoken"></a>&lt;!ENTITY % ctoken               
     "%csymbol.qname; | %ci.qname; | %cn.qname;" &gt;

<a name="attr.ci.qname" id="attr.ci.qname"></a><a href="appendixa-d.html#elem.ci.qname">&lt;!ATTLIST</a> %ci.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.type">%att-type;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="attr.csymbol.qname" id="attr.csymbol.qname"></a><a href="appendixa-d.html#elem.csymbol.qname">&lt;!ATTLIST</a> %csymbol.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
      <a href="appendixa-d.html#pent.att.type">%att-type;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
&gt;

<a name="attr.cn.qname" id="attr.cn.qname"></a><a href="appendixa-d.html#elem.cn.qname">&lt;!ATTLIST</a> %cn.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.type">%att-type;</a>
      <a href="appendixa-d.html#pent.att.base">%att-base;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

&lt;!-- Content elements: specials --&gt;

<a name="pent.cspecial" id="pent.cspecial"></a>&lt;!ENTITY % cspecial                 
     "%apply.qname; | %reln.qname; |
      %lambda.qname;" &gt;

<a name="attr.apply.qname" id="attr.apply.qname"></a><a href="appendixa-d.html#elem.apply.qname">&lt;!ATTLIST</a> %apply.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.reln.qname" id="attr.reln.qname"></a><a href="appendixa-d.html#elem.reln.qname">&lt;!ATTLIST</a> %reln.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.lambda.qname" id="attr.lambda.qname"></a><a href="appendixa-d.html#elem.lambda.qname">&lt;!ATTLIST</a> %lambda.qname;      
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

&lt;!-- Content elements: others --&gt;

<a name="pent.cother" id="pent.cother"></a>&lt;!ENTITY % cother                   
     "%condition.qname; | %declare.qname; | %sep.qname;" &gt;

<a name="attr.condition.qname" id="attr.condition.qname"></a><a href="appendixa-d.html#elem.condition.qname">&lt;!ATTLIST</a> %condition.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.declare.qname" id="attr.declare.qname"></a><a href="appendixa-d.html#elem.declare.qname">&lt;!ATTLIST</a> %declare.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.type">%att-type;</a>
      <a href="appendixa-d.html#pent.att.scope">%att-scope;</a>
      <a href="appendixa-d.html#pent.att.nargs">%att-nargs;</a>
      <a href="appendixa-d.html#pent.att.occurrence">%att-occurrence;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.sep.qname" id="elem.sep.qname"></a><a href="appendixa-d.html#attr.sep.qname">&lt;!ELEMENT</a> %sep.qname;  EMPTY &gt;
<a name="attr.sep.qname" id="attr.sep.qname"></a><a href="appendixa-d.html#elem.sep.qname">&lt;!ATTLIST</a> %sep.qname;         
      <a href="appendixa-d.html#pent.mathml.qname.module">%MATHML.xmlns.attrib;</a> &gt;

&lt;!-- Content elements: semantic mapping --&gt;

<span class="diff-add">&lt;![<a href="appendixa-d.html#pent.MathMLstrict">%MathMLstrict;</a>[
&lt;!-- in strict mode only allow semantics at top level.
     annotation and annotation-xml only allowed in semantics
--&gt;
  &lt;!ENTITY % csemantics  "%semantics.qname;" &gt;
]]&gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<a name="pent.csemantics" id="pent.csemantics"></a>&lt;!ENTITY % csemantics               
     "%semantics.qname; | %annotation.qname; |
      %annotation-xml.qname;" &gt;

<a name="attr.semantics.qname" id="attr.semantics.qname"></a><a href="appendixa-d.html#elem.semantics.qname">&lt;!ATTLIST</a> %semantics.qname;  
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="attr.annotation.qname" id="attr.annotation.qname"></a><a href="appendixa-d.html#elem.annotation.qname">&lt;!ATTLIST</a> %annotation.qname;  
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="attr.annotation.xml.qname" id="attr.annotation.xml.qname"></a><a href="appendixa-d.html#elem.annotation.xml.qname">&lt;!ATTLIST</a> %annotation-xml.qname; 
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

&lt;!-- Content elements: constructors --&gt;

<a name="pent.cconstructor" id="pent.cconstructor"></a>&lt;!ENTITY % cconstructor             
     "%interval.qname; | %list.qname; | %matrix.qname; 
      | %matrixrow.qname; | %set.qname; | %vector.qname;
      | %piecewise.qname; " &gt;

<a name="attr.interval.qname" id="attr.interval.qname"></a><a href="appendixa-d.html#elem.interval.qname">&lt;!ATTLIST</a> %interval.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.closure">%att-closure;</a>
&gt;

<a name="attr.set.qname" id="attr.set.qname"></a><a href="appendixa-d.html#elem.set.qname">&lt;!ATTLIST</a> %set.qname;        
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.type">%att-type;</a>
&gt;

<a name="attr.list.qname" id="attr.list.qname"></a><a href="appendixa-d.html#elem.list.qname">&lt;!ATTLIST</a> %list.qname;          
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.order">%att-order;</a>
&gt;

<a name="attr.vector.qname" id="attr.vector.qname"></a><a href="appendixa-d.html#elem.vector.qname">&lt;!ATTLIST</a> %vector.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.matrix.qname" id="attr.matrix.qname"></a><a href="appendixa-d.html#elem.matrix.qname">&lt;!ATTLIST</a> %matrix.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.matrixrow.qname" id="attr.matrixrow.qname"></a><a href="appendixa-d.html#elem.matrixrow.qname">&lt;!ATTLIST</a> %matrixrow.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.piecewise.qname" id="attr.piecewise.qname"></a><a href="appendixa-d.html#elem.piecewise.qname">&lt;!ATTLIST</a> %piecewise.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.piece.qname" id="attr.piece.qname"></a><a href="appendixa-d.html#elem.piece.qname">&lt;!ATTLIST</a> %piece.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.otherwise.qname" id="attr.otherwise.qname"></a><a href="appendixa-d.html#elem.otherwise.qname">&lt;!ATTLIST</a> %otherwise.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;


&lt;!-- Content elements: symbols --&gt;

<a name="pent.c0ary" id="pent.c0ary"></a>&lt;!ENTITY % c0ary              
    "%integers.qname; |
     %reals.qname; |
     %rationals.qname; |
     %naturalnumbers.qname; |
     %complexes.qname; |
     %primes.qname; |
     %exponentiale.qname; |
     %imaginaryi.qname; |
     %notanumber.qname; |
     %true.qname; |
     %false.qname; |
     %emptyset.qname; |
     %pi.qname; |
     %eulergamma.qname; |
     %infinity.qname;" &gt;

<a name="elem.integers.qname" id="elem.integers.qname"></a><a href="appendixa-d.html#attr.integers.qname">&lt;!ELEMENT</a> %integers.qname;  EMPTY &gt;
<a name="attr.integers.qname" id="attr.integers.qname"></a><a href="appendixa-d.html#elem.integers.qname">&lt;!ATTLIST</a> %integers.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.reals.qname" id="elem.reals.qname"></a><a href="appendixa-d.html#attr.reals.qname">&lt;!ELEMENT</a> %reals.qname;  EMPTY &gt;
<a name="attr.reals.qname" id="attr.reals.qname"></a><a href="appendixa-d.html#elem.reals.qname">&lt;!ATTLIST</a> %reals.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.rationals.qname" id="elem.rationals.qname"></a><a href="appendixa-d.html#attr.rationals.qname">&lt;!ELEMENT</a> %rationals.qname;  EMPTY &gt;
<a name="attr.rationals.qname" id="attr.rationals.qname"></a><a href="appendixa-d.html#elem.rationals.qname">&lt;!ATTLIST</a> %rationals.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.naturalnumbers.qname" id="elem.naturalnumbers.qname"></a><a href="appendixa-d.html#attr.naturalnumbers.qname">&lt;!ELEMENT</a> %naturalnumbers.qname;  EMPTY &gt;
<a name="attr.naturalnumbers.qname" id="attr.naturalnumbers.qname"></a><a href="appendixa-d.html#elem.naturalnumbers.qname">&lt;!ATTLIST</a> %naturalnumbers.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.complexes.qname" id="elem.complexes.qname"></a><a href="appendixa-d.html#attr.complexes.qname">&lt;!ELEMENT</a> %complexes.qname;  EMPTY &gt;
<a name="attr.complexes.qname" id="attr.complexes.qname"></a><a href="appendixa-d.html#elem.complexes.qname">&lt;!ATTLIST</a> %complexes.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.primes.qname" id="elem.primes.qname"></a><a href="appendixa-d.html#attr.primes.qname">&lt;!ELEMENT</a> %primes.qname;  EMPTY &gt;
<a name="attr.primes.qname" id="attr.primes.qname"></a><a href="appendixa-d.html#elem.primes.qname">&lt;!ATTLIST</a> %primes.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.exponentiale.qname" id="elem.exponentiale.qname"></a><a href="appendixa-d.html#attr.exponentiale.qname">&lt;!ELEMENT</a> %exponentiale.qname;  EMPTY &gt;
<a name="attr.exponentiale.qname" id="attr.exponentiale.qname"></a><a href="appendixa-d.html#elem.exponentiale.qname">&lt;!ATTLIST</a> %exponentiale.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.imaginaryi.qname" id="elem.imaginaryi.qname"></a><a href="appendixa-d.html#attr.imaginaryi.qname">&lt;!ELEMENT</a> %imaginaryi.qname;  EMPTY &gt;
<a name="attr.imaginaryi.qname" id="attr.imaginaryi.qname"></a><a href="appendixa-d.html#elem.imaginaryi.qname">&lt;!ATTLIST</a> %imaginaryi.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.notanumber.qname" id="elem.notanumber.qname"></a><a href="appendixa-d.html#attr.notanumber.qname">&lt;!ELEMENT</a> %notanumber.qname;  EMPTY &gt;
<a name="attr.notanumber.qname" id="attr.notanumber.qname"></a><a href="appendixa-d.html#elem.notanumber.qname">&lt;!ATTLIST</a> %notanumber.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.true.qname" id="elem.true.qname"></a><a href="appendixa-d.html#attr.true.qname">&lt;!ELEMENT</a> %true.qname;  EMPTY &gt;
<a name="attr.true.qname" id="attr.true.qname"></a><a href="appendixa-d.html#elem.true.qname">&lt;!ATTLIST</a> %true.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.false.qname" id="elem.false.qname"></a><a href="appendixa-d.html#attr.false.qname">&lt;!ELEMENT</a> %false.qname;  EMPTY &gt;
<a name="attr.false.qname" id="attr.false.qname"></a><a href="appendixa-d.html#elem.false.qname">&lt;!ATTLIST</a> %false.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.emptyset.qname" id="elem.emptyset.qname"></a><a href="appendixa-d.html#attr.emptyset.qname">&lt;!ELEMENT</a> %emptyset.qname;  EMPTY &gt;
<a name="attr.emptyset.qname" id="attr.emptyset.qname"></a><a href="appendixa-d.html#elem.emptyset.qname">&lt;!ATTLIST</a> %emptyset.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.pi.qname" id="elem.pi.qname"></a><a href="appendixa-d.html#attr.pi.qname">&lt;!ELEMENT</a> %pi.qname;  EMPTY &gt;
<a name="attr.pi.qname" id="attr.pi.qname"></a><a href="appendixa-d.html#elem.pi.qname">&lt;!ATTLIST</a> %pi.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.eulergamma.qname" id="elem.eulergamma.qname"></a><a href="appendixa-d.html#attr.eulergamma.qname">&lt;!ELEMENT</a> %eulergamma.qname;  EMPTY &gt;
<a name="attr.eulergamma.qname" id="attr.eulergamma.qname"></a><a href="appendixa-d.html#elem.eulergamma.qname">&lt;!ATTLIST</a> %eulergamma.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.infinity.qname" id="elem.infinity.qname"></a><a href="appendixa-d.html#attr.infinity.qname">&lt;!ELEMENT</a> %infinity.qname;  EMPTY &gt;
<a name="attr.infinity.qname" id="attr.infinity.qname"></a><a href="appendixa-d.html#elem.infinity.qname">&lt;!ATTLIST</a> %infinity.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

&lt;!-- Content elements: operators --&gt;

<a name="pent.cfuncop1ary" id="pent.cfuncop1ary"></a>&lt;!ENTITY % cfuncop1ary              
     "%inverse.qname; | %ident.qname;|
      %domain.qname; |  %codomain.qname; | 
      %image.qname;  " &gt;

<a name="elem.inverse.qname" id="elem.inverse.qname"></a><a href="appendixa-d.html#attr.inverse.qname">&lt;!ELEMENT</a> %inverse.qname;  EMPTY &gt;
<a name="attr.inverse.qname" id="attr.inverse.qname"></a><a href="appendixa-d.html#elem.inverse.qname">&lt;!ATTLIST</a> %inverse.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.domain.qname" id="elem.domain.qname"></a><a href="appendixa-d.html#attr.domain.qname">&lt;!ELEMENT</a> %domain.qname;  EMPTY &gt;
<a name="attr.domain.qname" id="attr.domain.qname"></a><a href="appendixa-d.html#elem.domain.qname">&lt;!ATTLIST</a> %domain.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.codomain.qname" id="elem.codomain.qname"></a><a href="appendixa-d.html#attr.codomain.qname">&lt;!ELEMENT</a> %codomain.qname;  EMPTY &gt;
<a name="attr.codomain.qname" id="attr.codomain.qname"></a><a href="appendixa-d.html#elem.codomain.qname">&lt;!ATTLIST</a> %codomain.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.image.qname" id="elem.image.qname"></a><a href="appendixa-d.html#attr.image.qname">&lt;!ELEMENT</a> %image.qname;  EMPTY &gt;
<a name="attr.image.qname" id="attr.image.qname"></a><a href="appendixa-d.html#elem.image.qname">&lt;!ATTLIST</a> %image.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;



<a name="pent.cfuncopnary" id="pent.cfuncopnary"></a>&lt;!ENTITY % cfuncopnary              
     "%fn.qname; | %compose.qname;" &gt;

<a name="attr.fn.qname" id="attr.fn.qname"></a><a href="appendixa-d.html#elem.fn.qname">&lt;!ATTLIST</a> %fn.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.ident.qname" id="elem.ident.qname"></a><a href="appendixa-d.html#attr.ident.qname">&lt;!ELEMENT</a> %ident.qname;  EMPTY &gt;
<a name="attr.ident.qname" id="attr.ident.qname"></a><a href="appendixa-d.html#elem.ident.qname">&lt;!ATTLIST</a> %ident.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.compose.qname" id="elem.compose.qname"></a><a href="appendixa-d.html#attr.compose.qname">&lt;!ELEMENT</a> %compose.qname;  EMPTY &gt;
<a name="attr.compose.qname" id="attr.compose.qname"></a><a href="appendixa-d.html#elem.compose.qname">&lt;!ATTLIST</a> %compose.qname;  
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.carithop1ary" id="pent.carithop1ary"></a>&lt;!ENTITY % carithop1ary             
     "%abs.qname; | %conjugate.qname; | %exp.qname; | %factorial.qname; |
      %arg.qname; | %real.qname; | %imaginary.qname; |
      %floor.qname; | %ceiling.qname;" &gt;

<a name="elem.exp.qname" id="elem.exp.qname"></a><a href="appendixa-d.html#attr.exp.qname">&lt;!ELEMENT</a> %exp.qname;  EMPTY &gt;
<a name="attr.exp.qname" id="attr.exp.qname"></a><a href="appendixa-d.html#elem.exp.qname">&lt;!ATTLIST</a> %exp.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.abs.qname" id="elem.abs.qname"></a><a href="appendixa-d.html#attr.abs.qname">&lt;!ELEMENT</a> %abs.qname;  EMPTY &gt;
<a name="attr.abs.qname" id="attr.abs.qname"></a><a href="appendixa-d.html#elem.abs.qname">&lt;!ATTLIST</a> %abs.qname;        
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.arg.qname" id="elem.arg.qname"></a><a href="appendixa-d.html#attr.arg.qname">&lt;!ELEMENT</a> %arg.qname;  EMPTY &gt;
<a name="attr.arg.qname" id="attr.arg.qname"></a><a href="appendixa-d.html#elem.arg.qname">&lt;!ATTLIST</a> %arg.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.real.qname" id="elem.real.qname"></a><a href="appendixa-d.html#attr.real.qname">&lt;!ELEMENT</a> %real.qname;  EMPTY &gt;
<a name="attr.real.qname" id="attr.real.qname"></a><a href="appendixa-d.html#elem.real.qname">&lt;!ATTLIST</a> %real.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.imaginary.qname" id="elem.imaginary.qname"></a><a href="appendixa-d.html#attr.imaginary.qname">&lt;!ELEMENT</a> %imaginary.qname;  EMPTY &gt;
<a name="attr.imaginary.qname" id="attr.imaginary.qname"></a><a href="appendixa-d.html#elem.imaginary.qname">&lt;!ATTLIST</a> %imaginary.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.conjugate.qname" id="elem.conjugate.qname"></a><a href="appendixa-d.html#attr.conjugate.qname">&lt;!ELEMENT</a> %conjugate.qname;  EMPTY &gt;
<a name="attr.conjugate.qname" id="attr.conjugate.qname"></a><a href="appendixa-d.html#elem.conjugate.qname">&lt;!ATTLIST</a> %conjugate.qname;  
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.factorial.qname" id="elem.factorial.qname"></a><a href="appendixa-d.html#attr.factorial.qname">&lt;!ELEMENT</a> %factorial.qname;  EMPTY &gt;
<a name="attr.factorial.qname" id="attr.factorial.qname"></a><a href="appendixa-d.html#elem.factorial.qname">&lt;!ATTLIST</a> %factorial.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;


<a name="elem.floor.qname" id="elem.floor.qname"></a><a href="appendixa-d.html#attr.floor.qname">&lt;!ELEMENT</a> %floor.qname;  EMPTY &gt;
<a name="attr.floor.qname" id="attr.floor.qname"></a><a href="appendixa-d.html#elem.floor.qname">&lt;!ATTLIST</a> %floor.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.ceiling.qname" id="elem.ceiling.qname"></a><a href="appendixa-d.html#attr.ceiling.qname">&lt;!ELEMENT</a> %ceiling.qname;  EMPTY &gt;
<a name="attr.ceiling.qname" id="attr.ceiling.qname"></a><a href="appendixa-d.html#elem.ceiling.qname">&lt;!ATTLIST</a> %ceiling.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;
<a name="pent.carithop1or2ary" id="pent.carithop1or2ary"></a>&lt;!ENTITY % carithop1or2ary          
     "%minus.qname;" &gt;

<a name="elem.minus.qname" id="elem.minus.qname"></a><a href="appendixa-d.html#attr.minus.qname">&lt;!ELEMENT</a> %minus.qname;  EMPTY &gt;
<a name="attr.minus.qname" id="attr.minus.qname"></a><a href="appendixa-d.html#elem.minus.qname">&lt;!ATTLIST</a> %minus.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.carithop2ary" id="pent.carithop2ary"></a>&lt;!ENTITY % carithop2ary             
     "%quotient.qname; | %divide.qname; | %power.qname; | %rem.qname;" &gt;

<a name="elem.quotient.qname" id="elem.quotient.qname"></a><a href="appendixa-d.html#attr.quotient.qname">&lt;!ELEMENT</a> %quotient.qname;  EMPTY &gt;
<a name="attr.quotient.qname" id="attr.quotient.qname"></a><a href="appendixa-d.html#elem.quotient.qname">&lt;!ATTLIST</a> %quotient.qname;       
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.divide.qname" id="elem.divide.qname"></a><a href="appendixa-d.html#attr.divide.qname">&lt;!ELEMENT</a> %divide.qname;  EMPTY &gt;
<a name="attr.divide.qname" id="attr.divide.qname"></a><a href="appendixa-d.html#elem.divide.qname">&lt;!ATTLIST</a> %divide.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.power.qname" id="elem.power.qname"></a><a href="appendixa-d.html#attr.power.qname">&lt;!ELEMENT</a> %power.qname;  EMPTY &gt;
<a name="attr.power.qname" id="attr.power.qname"></a><a href="appendixa-d.html#elem.power.qname">&lt;!ATTLIST</a> %power.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.rem.qname" id="elem.rem.qname"></a><a href="appendixa-d.html#attr.rem.qname">&lt;!ELEMENT</a> %rem.qname;  EMPTY &gt;
<a name="attr.rem.qname" id="attr.rem.qname"></a><a href="appendixa-d.html#elem.rem.qname">&lt;!ATTLIST</a> %rem.qname;       
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.carithopnary" id="pent.carithopnary"></a>&lt;!ENTITY % carithopnary             
     "%plus.qname; | %times.qname; | %max.qname; 
      | %min.qname; | %gcd.qname; | %lcm.qname;" &gt;

<a name="elem.plus.qname" id="elem.plus.qname"></a><a href="appendixa-d.html#attr.plus.qname">&lt;!ELEMENT</a> %plus.qname;  EMPTY &gt;
<a name="attr.plus.qname" id="attr.plus.qname"></a><a href="appendixa-d.html#elem.plus.qname">&lt;!ATTLIST</a> %plus.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.max.qname" id="elem.max.qname"></a><a href="appendixa-d.html#attr.max.qname">&lt;!ELEMENT</a> %max.qname;  EMPTY &gt;
<a name="attr.max.qname" id="attr.max.qname"></a><a href="appendixa-d.html#elem.max.qname">&lt;!ATTLIST</a> %max.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.min.qname" id="elem.min.qname"></a><a href="appendixa-d.html#attr.min.qname">&lt;!ELEMENT</a> %min.qname;  EMPTY &gt;
<a name="attr.min.qname" id="attr.min.qname"></a><a href="appendixa-d.html#elem.min.qname">&lt;!ATTLIST</a> %min.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.times.qname" id="elem.times.qname"></a><a href="appendixa-d.html#attr.times.qname">&lt;!ELEMENT</a> %times.qname;  EMPTY &gt;
<a name="attr.times.qname" id="attr.times.qname"></a><a href="appendixa-d.html#elem.times.qname">&lt;!ATTLIST</a> %times.qname;      
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.gcd.qname" id="elem.gcd.qname"></a><a href="appendixa-d.html#attr.gcd.qname">&lt;!ELEMENT</a> %gcd.qname;  EMPTY &gt;
<a name="attr.gcd.qname" id="attr.gcd.qname"></a><a href="appendixa-d.html#elem.gcd.qname">&lt;!ATTLIST</a> %gcd.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.lcm.qname" id="elem.lcm.qname"></a><a href="appendixa-d.html#attr.lcm.qname">&lt;!ELEMENT</a> %lcm.qname;  EMPTY &gt;
<a name="attr.lcm.qname" id="attr.lcm.qname"></a><a href="appendixa-d.html#elem.lcm.qname">&lt;!ATTLIST</a> %lcm.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.carithoproot" id="pent.carithoproot"></a>&lt;!ENTITY % carithoproot             
     "%root.qname;" &gt;

<a name="elem.root.qname" id="elem.root.qname"></a><a href="appendixa-d.html#attr.root.qname">&lt;!ELEMENT</a> %root.qname;  EMPTY &gt;
<a name="attr.root.qname" id="attr.root.qname"></a><a href="appendixa-d.html#elem.root.qname">&lt;!ATTLIST</a> %root.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.clogicopquant" id="pent.clogicopquant"></a>&lt;!ENTITY % clogicopquant            
     "%exists.qname; | %forall.qname;" &gt;

<a name="elem.exists.qname" id="elem.exists.qname"></a><a href="appendixa-d.html#attr.exists.qname">&lt;!ELEMENT</a> %exists.qname;  EMPTY &gt;
<a name="attr.exists.qname" id="attr.exists.qname"></a><a href="appendixa-d.html#elem.exists.qname">&lt;!ATTLIST</a> %exists.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.forall.qname" id="elem.forall.qname"></a><a href="appendixa-d.html#attr.forall.qname">&lt;!ELEMENT</a> %forall.qname;  EMPTY &gt;
<a name="attr.forall.qname" id="attr.forall.qname"></a><a href="appendixa-d.html#elem.forall.qname">&lt;!ATTLIST</a> %forall.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.clogicopnary" id="pent.clogicopnary"></a>&lt;!ENTITY % clogicopnary             
     "%and.qname; | %or.qname; | %xor.qname;" &gt;

<a name="elem.and.qname" id="elem.and.qname"></a><a href="appendixa-d.html#attr.and.qname">&lt;!ELEMENT</a> %and.qname;  EMPTY &gt;
<a name="attr.and.qname" id="attr.and.qname"></a><a href="appendixa-d.html#elem.and.qname">&lt;!ATTLIST</a> %and.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.or.qname" id="elem.or.qname"></a><a href="appendixa-d.html#attr.or.qname">&lt;!ELEMENT</a> %or.qname;  EMPTY &gt;
<a name="attr.or.qname" id="attr.or.qname"></a><a href="appendixa-d.html#elem.or.qname">&lt;!ATTLIST</a> %or.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.xor.qname" id="elem.xor.qname"></a><a href="appendixa-d.html#attr.xor.qname">&lt;!ELEMENT</a> %xor.qname;  EMPTY &gt;
<a name="attr.xor.qname" id="attr.xor.qname"></a><a href="appendixa-d.html#elem.xor.qname">&lt;!ATTLIST</a> %xor.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.clogicop1ary" id="pent.clogicop1ary"></a>&lt;!ENTITY % clogicop1ary             
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<a name="elem.not.qname" id="elem.not.qname"></a><a href="appendixa-d.html#attr.not.qname">&lt;!ELEMENT</a> %not.qname;  EMPTY &gt;
<a name="attr.not.qname" id="attr.not.qname"></a><a href="appendixa-d.html#elem.not.qname">&lt;!ATTLIST</a> %not.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.clogicop2ary" id="pent.clogicop2ary"></a>&lt;!ENTITY % clogicop2ary             
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<a name="elem.implies.qname" id="elem.implies.qname"></a><a href="appendixa-d.html#attr.implies.qname">&lt;!ELEMENT</a> %implies.qname;  EMPTY &gt;
<a name="attr.implies.qname" id="attr.implies.qname"></a><a href="appendixa-d.html#elem.implies.qname">&lt;!ATTLIST</a> %implies.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.ccalcop" id="pent.ccalcop"></a>&lt;!ENTITY % ccalcop                  
     "%log.qname; | %int.qname; | %diff.qname; | %partialdiff.qname; |
      %divergence.qname; | %grad.qname; | %curl.qname; | %laplacian.qname;" &gt;

<a name="elem.divergence.qname" id="elem.divergence.qname"></a><a href="appendixa-d.html#attr.divergence.qname">&lt;!ELEMENT</a> %divergence.qname;  EMPTY &gt;
<a name="attr.divergence.qname" id="attr.divergence.qname"></a><a href="appendixa-d.html#elem.divergence.qname">&lt;!ATTLIST</a> %divergence.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.grad.qname" id="elem.grad.qname"></a><a href="appendixa-d.html#attr.grad.qname">&lt;!ELEMENT</a> %grad.qname;  EMPTY &gt;
<a name="attr.grad.qname" id="attr.grad.qname"></a><a href="appendixa-d.html#elem.grad.qname">&lt;!ATTLIST</a> %grad.qname;  
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.curl.qname" id="elem.curl.qname"></a><a href="appendixa-d.html#attr.curl.qname">&lt;!ELEMENT</a> %curl.qname;  EMPTY &gt;
<a name="attr.curl.qname" id="attr.curl.qname"></a><a href="appendixa-d.html#elem.curl.qname">&lt;!ATTLIST</a> %curl.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.laplacian.qname" id="elem.laplacian.qname"></a><a href="appendixa-d.html#attr.laplacian.qname">&lt;!ELEMENT</a> %laplacian.qname;  EMPTY &gt;
<a name="attr.laplacian.qname" id="attr.laplacian.qname"></a><a href="appendixa-d.html#elem.laplacian.qname">&lt;!ATTLIST</a> %laplacian.qname;     
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.log.qname" id="elem.log.qname"></a><a href="appendixa-d.html#attr.log.qname">&lt;!ELEMENT</a> %log.qname;  EMPTY &gt;
<a name="attr.log.qname" id="attr.log.qname"></a><a href="appendixa-d.html#elem.log.qname">&lt;!ATTLIST</a> %log.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.int.qname" id="elem.int.qname"></a><a href="appendixa-d.html#attr.int.qname">&lt;!ELEMENT</a> %int.qname;  EMPTY &gt;
<a name="attr.int.qname" id="attr.int.qname"></a><a href="appendixa-d.html#elem.int.qname">&lt;!ATTLIST</a> %int.qname;    
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.diff.qname" id="elem.diff.qname"></a><a href="appendixa-d.html#attr.diff.qname">&lt;!ELEMENT</a> %diff.qname;  EMPTY &gt;
<a name="attr.diff.qname" id="attr.diff.qname"></a><a href="appendixa-d.html#elem.diff.qname">&lt;!ATTLIST</a> %diff.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.partialdiff.qname" id="elem.partialdiff.qname"></a><a href="appendixa-d.html#attr.partialdiff.qname">&lt;!ELEMENT</a> %partialdiff.qname;  EMPTY &gt;
<a name="attr.partialdiff.qname" id="attr.partialdiff.qname"></a><a href="appendixa-d.html#elem.partialdiff.qname">&lt;!ATTLIST</a> %partialdiff.qname;  
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.ccalcop1ary" id="pent.ccalcop1ary"></a>&lt;!ENTITY % ccalcop1ary              
     "%ln.qname;" &gt;

<a name="elem.ln.qname" id="elem.ln.qname"></a><a href="appendixa-d.html#attr.ln.qname">&lt;!ELEMENT</a> %ln.qname;  EMPTY &gt;
<a name="attr.ln.qname" id="attr.ln.qname"></a><a href="appendixa-d.html#elem.ln.qname">&lt;!ATTLIST</a> %ln.qname;   
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.csetop1ary" id="pent.csetop1ary"></a>&lt;!ENTITY % csetop1ary               
     "%card.qname;" &gt;

<a name="elem.card.qname" id="elem.card.qname"></a><a href="appendixa-d.html#attr.card.qname">&lt;!ELEMENT</a> %card.qname;  EMPTY &gt;
<a name="attr.card.qname" id="attr.card.qname"></a><a href="appendixa-d.html#elem.card.qname">&lt;!ATTLIST</a> %card.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.csetop2ary" id="pent.csetop2ary"></a>&lt;!ENTITY % csetop2ary               
     "%setdiff.qname;" &gt;

<a name="elem.setdiff.qname" id="elem.setdiff.qname"></a><a href="appendixa-d.html#attr.setdiff.qname">&lt;!ELEMENT</a> %setdiff.qname;  EMPTY &gt;
<a name="attr.setdiff.qname" id="attr.setdiff.qname"></a><a href="appendixa-d.html#elem.setdiff.qname">&lt;!ATTLIST</a> %setdiff.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.csetopnary" id="pent.csetopnary"></a>&lt;!ENTITY % csetopnary               
     "%union.qname; | %intersect.qname; | %cartesianproduct.qname; " &gt;

<a name="elem.union.qname" id="elem.union.qname"></a><a href="appendixa-d.html#attr.union.qname">&lt;!ELEMENT</a> %union.qname;  EMPTY &gt;
<a name="attr.union.qname" id="attr.union.qname"></a><a href="appendixa-d.html#elem.union.qname">&lt;!ATTLIST</a> %union.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.intersect.qname" id="elem.intersect.qname"></a><a href="appendixa-d.html#attr.intersect.qname">&lt;!ELEMENT</a> %intersect.qname;  EMPTY &gt;
<a name="attr.intersect.qname" id="attr.intersect.qname"></a><a href="appendixa-d.html#elem.intersect.qname">&lt;!ATTLIST</a> %intersect.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.cartesianproduct.qname" id="elem.cartesianproduct.qname"></a><a href="appendixa-d.html#attr.cartesianproduct.qname">&lt;!ELEMENT</a> %cartesianproduct.qname;  EMPTY &gt;
<a name="attr.cartesianproduct.qname" id="attr.cartesianproduct.qname"></a><a href="appendixa-d.html#elem.cartesianproduct.qname">&lt;!ATTLIST</a> %cartesianproduct.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.cseqop" id="pent.cseqop"></a>&lt;!ENTITY % cseqop                   
     "%sum.qname; | %product.qname; | %limit.qname;" &gt;

<a name="elem.sum.qname" id="elem.sum.qname"></a><a href="appendixa-d.html#attr.sum.qname">&lt;!ELEMENT</a> %sum.qname;  EMPTY &gt;
<a name="attr.sum.qname" id="attr.sum.qname"></a><a href="appendixa-d.html#elem.sum.qname">&lt;!ATTLIST</a> %sum.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.product.qname" id="elem.product.qname"></a><a href="appendixa-d.html#attr.product.qname">&lt;!ELEMENT</a> %product.qname;  EMPTY &gt;
<a name="attr.product.qname" id="attr.product.qname"></a><a href="appendixa-d.html#elem.product.qname">&lt;!ATTLIST</a> %product.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.limit.qname" id="elem.limit.qname"></a><a href="appendixa-d.html#attr.limit.qname">&lt;!ELEMENT</a> %limit.qname;  EMPTY &gt;
<a name="attr.limit.qname" id="attr.limit.qname"></a><a href="appendixa-d.html#elem.limit.qname">&lt;!ATTLIST</a> %limit.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.ctrigop" id="pent.ctrigop"></a>&lt;!ENTITY % ctrigop                  
     "%sin.qname; | %cos.qname; | %tan.qname; 
      | %sec.qname; | %csc.qname; | %cot.qname; 
      | %sinh.qname; | %cosh.qname; | %tanh.qname; 
      | %sech.qname; | %csch.qname; | %coth.qname; 
      | %arcsin.qname; | %arccos.qname; | %arctan.qname;
      | %arccosh.qname; | %arccot.qname; | %arccoth.qname;
      | %arccsc.qname; | %arccsch.qname; | %arcsec.qname;
      | %arcsech.qname; | %arcsinh.qname; | %arctanh.qname;
      " &gt;

<a name="elem.sin.qname" id="elem.sin.qname"></a><a href="appendixa-d.html#attr.sin.qname">&lt;!ELEMENT</a> %sin.qname;  EMPTY &gt;
<a name="attr.sin.qname" id="attr.sin.qname"></a><a href="appendixa-d.html#elem.sin.qname">&lt;!ATTLIST</a> %sin.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.cos.qname" id="elem.cos.qname"></a><a href="appendixa-d.html#attr.cos.qname">&lt;!ELEMENT</a> %cos.qname;  EMPTY &gt;
<a name="attr.cos.qname" id="attr.cos.qname"></a><a href="appendixa-d.html#elem.cos.qname">&lt;!ATTLIST</a> %cos.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.tan.qname" id="elem.tan.qname"></a><a href="appendixa-d.html#attr.tan.qname">&lt;!ELEMENT</a> %tan.qname;  EMPTY &gt;
<a name="attr.tan.qname" id="attr.tan.qname"></a><a href="appendixa-d.html#elem.tan.qname">&lt;!ATTLIST</a> %tan.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.sec.qname" id="elem.sec.qname"></a><a href="appendixa-d.html#attr.sec.qname">&lt;!ELEMENT</a> %sec.qname;  EMPTY &gt;
<a name="attr.sec.qname" id="attr.sec.qname"></a><a href="appendixa-d.html#elem.sec.qname">&lt;!ATTLIST</a> %sec.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.csc.qname" id="elem.csc.qname"></a><a href="appendixa-d.html#attr.csc.qname">&lt;!ELEMENT</a> %csc.qname;  EMPTY &gt;
<a name="attr.csc.qname" id="attr.csc.qname"></a><a href="appendixa-d.html#elem.csc.qname">&lt;!ATTLIST</a> %csc.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.cot.qname" id="elem.cot.qname"></a><a href="appendixa-d.html#attr.cot.qname">&lt;!ELEMENT</a> %cot.qname;  EMPTY &gt;
<a name="attr.cot.qname" id="attr.cot.qname"></a><a href="appendixa-d.html#elem.cot.qname">&lt;!ATTLIST</a> %cot.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.sinh.qname" id="elem.sinh.qname"></a><a href="appendixa-d.html#attr.sinh.qname">&lt;!ELEMENT</a> %sinh.qname;  EMPTY &gt;
<a name="attr.sinh.qname" id="attr.sinh.qname"></a><a href="appendixa-d.html#elem.sinh.qname">&lt;!ATTLIST</a> %sinh.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.cosh.qname" id="elem.cosh.qname"></a><a href="appendixa-d.html#attr.cosh.qname">&lt;!ELEMENT</a> %cosh.qname;  EMPTY &gt;
<a name="attr.cosh.qname" id="attr.cosh.qname"></a><a href="appendixa-d.html#elem.cosh.qname">&lt;!ATTLIST</a> %cosh.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.tanh.qname" id="elem.tanh.qname"></a><a href="appendixa-d.html#attr.tanh.qname">&lt;!ELEMENT</a> %tanh.qname;  EMPTY &gt;
<a name="attr.tanh.qname" id="attr.tanh.qname"></a><a href="appendixa-d.html#elem.tanh.qname">&lt;!ATTLIST</a> %tanh.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.sech.qname" id="elem.sech.qname"></a><a href="appendixa-d.html#attr.sech.qname">&lt;!ELEMENT</a> %sech.qname;  EMPTY &gt;
<a name="attr.sech.qname" id="attr.sech.qname"></a><a href="appendixa-d.html#elem.sech.qname">&lt;!ATTLIST</a> %sech.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.csch.qname" id="elem.csch.qname"></a><a href="appendixa-d.html#attr.csch.qname">&lt;!ELEMENT</a> %csch.qname;  EMPTY &gt;
<a name="attr.csch.qname" id="attr.csch.qname"></a><a href="appendixa-d.html#elem.csch.qname">&lt;!ATTLIST</a> %csch.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.coth.qname" id="elem.coth.qname"></a><a href="appendixa-d.html#attr.coth.qname">&lt;!ELEMENT</a> %coth.qname;  EMPTY &gt;
<a name="attr.coth.qname" id="attr.coth.qname"></a><a href="appendixa-d.html#elem.coth.qname">&lt;!ATTLIST</a> %coth.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.arcsin.qname" id="elem.arcsin.qname"></a><a href="appendixa-d.html#attr.arcsin.qname">&lt;!ELEMENT</a> %arcsin.qname;  EMPTY &gt;
<a name="attr.arcsin.qname" id="attr.arcsin.qname"></a><a href="appendixa-d.html#elem.arcsin.qname">&lt;!ATTLIST</a> %arcsin.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.arccos.qname" id="elem.arccos.qname"></a><a href="appendixa-d.html#attr.arccos.qname">&lt;!ELEMENT</a> %arccos.qname;  EMPTY &gt;
<a name="attr.arccos.qname" id="attr.arccos.qname"></a><a href="appendixa-d.html#elem.arccos.qname">&lt;!ATTLIST</a> %arccos.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.arctan.qname" id="elem.arctan.qname"></a><a href="appendixa-d.html#attr.arctan.qname">&lt;!ELEMENT</a> %arctan.qname;  EMPTY &gt;
<a name="attr.arctan.qname" id="attr.arctan.qname"></a><a href="appendixa-d.html#elem.arctan.qname">&lt;!ATTLIST</a> %arctan.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.arccosh.qname" id="elem.arccosh.qname"></a><a href="appendixa-d.html#attr.arccosh.qname">&lt;!ELEMENT</a> %arccosh.qname;  EMPTY &gt;
<a name="attr.arccosh.qname" id="attr.arccosh.qname"></a><a href="appendixa-d.html#elem.arccosh.qname">&lt;!ATTLIST</a> %arccosh.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;


<a name="elem.arccot.qname" id="elem.arccot.qname"></a><a href="appendixa-d.html#attr.arccot.qname">&lt;!ELEMENT</a> %arccot.qname;  EMPTY &gt;
<a name="attr.arccot.qname" id="attr.arccot.qname"></a><a href="appendixa-d.html#elem.arccot.qname">&lt;!ATTLIST</a> %arccot.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.arccoth.qname" id="elem.arccoth.qname"></a><a href="appendixa-d.html#attr.arccoth.qname">&lt;!ELEMENT</a> %arccoth.qname;  EMPTY &gt;
<a name="attr.arccoth.qname" id="attr.arccoth.qname"></a><a href="appendixa-d.html#elem.arccoth.qname">&lt;!ATTLIST</a> %arccoth.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;


<a name="elem.arccsc.qname" id="elem.arccsc.qname"></a><a href="appendixa-d.html#attr.arccsc.qname">&lt;!ELEMENT</a> %arccsc.qname;  EMPTY &gt;
<a name="attr.arccsc.qname" id="attr.arccsc.qname"></a><a href="appendixa-d.html#elem.arccsc.qname">&lt;!ATTLIST</a> %arccsc.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.arccsch.qname" id="elem.arccsch.qname"></a><a href="appendixa-d.html#attr.arccsch.qname">&lt;!ELEMENT</a> %arccsch.qname;  EMPTY &gt;
<a name="attr.arccsch.qname" id="attr.arccsch.qname"></a><a href="appendixa-d.html#elem.arccsch.qname">&lt;!ATTLIST</a> %arccsch.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.arcsec.qname" id="elem.arcsec.qname"></a><a href="appendixa-d.html#attr.arcsec.qname">&lt;!ELEMENT</a> %arcsec.qname;  EMPTY &gt;
<a name="attr.arcsec.qname" id="attr.arcsec.qname"></a><a href="appendixa-d.html#elem.arcsec.qname">&lt;!ATTLIST</a> %arcsec.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.arcsech.qname" id="elem.arcsech.qname"></a><a href="appendixa-d.html#attr.arcsech.qname">&lt;!ELEMENT</a> %arcsech.qname;  EMPTY &gt;
<a name="attr.arcsech.qname" id="attr.arcsech.qname"></a><a href="appendixa-d.html#elem.arcsech.qname">&lt;!ATTLIST</a> %arcsech.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.arcsinh.qname" id="elem.arcsinh.qname"></a><a href="appendixa-d.html#attr.arcsinh.qname">&lt;!ELEMENT</a> %arcsinh.qname;  EMPTY &gt;
<a name="attr.arcsinh.qname" id="attr.arcsinh.qname"></a><a href="appendixa-d.html#elem.arcsinh.qname">&lt;!ATTLIST</a> %arcsinh.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.arctanh.qname" id="elem.arctanh.qname"></a><a href="appendixa-d.html#attr.arctanh.qname">&lt;!ELEMENT</a> %arctanh.qname;  EMPTY &gt;
<a name="attr.arctanh.qname" id="attr.arctanh.qname"></a><a href="appendixa-d.html#elem.arctanh.qname">&lt;!ATTLIST</a> %arctanh.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;



<a name="pent.cstatopnary" id="pent.cstatopnary"></a>&lt;!ENTITY % cstatopnary              
     "%mean.qname; | %sdev.qname; |
      %variance.qname; | %median.qname; |
      %mode.qname;" &gt;

<a name="elem.mean.qname" id="elem.mean.qname"></a><a href="appendixa-d.html#attr.mean.qname">&lt;!ELEMENT</a> %mean.qname;  EMPTY &gt;
<a name="attr.mean.qname" id="attr.mean.qname"></a><a href="appendixa-d.html#elem.mean.qname">&lt;!ATTLIST</a> %mean.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.sdev.qname" id="elem.sdev.qname"></a><a href="appendixa-d.html#attr.sdev.qname">&lt;!ELEMENT</a> %sdev.qname;  EMPTY &gt;
<a name="attr.sdev.qname" id="attr.sdev.qname"></a><a href="appendixa-d.html#elem.sdev.qname">&lt;!ATTLIST</a> %sdev.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.variance.qname" id="elem.variance.qname"></a><a href="appendixa-d.html#attr.variance.qname">&lt;!ELEMENT</a> %variance.qname;  EMPTY &gt;
<a name="attr.variance.qname" id="attr.variance.qname"></a><a href="appendixa-d.html#elem.variance.qname">&lt;!ATTLIST</a> %variance.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.median.qname" id="elem.median.qname"></a><a href="appendixa-d.html#attr.median.qname">&lt;!ELEMENT</a> %median.qname;  EMPTY &gt;
<a name="attr.median.qname" id="attr.median.qname"></a><a href="appendixa-d.html#elem.median.qname">&lt;!ATTLIST</a> %median.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.mode.qname" id="elem.mode.qname"></a><a href="appendixa-d.html#attr.mode.qname">&lt;!ELEMENT</a> %mode.qname;  EMPTY &gt;
<a name="attr.mode.qname" id="attr.mode.qname"></a><a href="appendixa-d.html#elem.mode.qname">&lt;!ATTLIST</a> %mode.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.cstatopmoment" id="pent.cstatopmoment"></a>&lt;!ENTITY % cstatopmoment            
     "%moment.qname;" &gt;

<a name="elem.moment.qname" id="elem.moment.qname"></a><a href="appendixa-d.html#attr.moment.qname">&lt;!ELEMENT</a> %moment.qname;  EMPTY &gt;
<a name="attr.moment.qname" id="attr.moment.qname"></a><a href="appendixa-d.html#elem.moment.qname">&lt;!ATTLIST</a> %moment.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.clalgop1ary" id="pent.clalgop1ary"></a>&lt;!ENTITY % clalgop1ary              
     "%determinant.qname; |
      %transpose.qname;" &gt;

<a name="elem.determinant.qname" id="elem.determinant.qname"></a><a href="appendixa-d.html#attr.determinant.qname">&lt;!ELEMENT</a> %determinant.qname;  EMPTY &gt;
<a name="attr.determinant.qname" id="attr.determinant.qname"></a><a href="appendixa-d.html#elem.determinant.qname">&lt;!ATTLIST</a> %determinant.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.transpose.qname" id="elem.transpose.qname"></a><a href="appendixa-d.html#attr.transpose.qname">&lt;!ELEMENT</a> %transpose.qname;  EMPTY &gt;
<a name="attr.transpose.qname" id="attr.transpose.qname"></a><a href="appendixa-d.html#elem.transpose.qname">&lt;!ATTLIST</a> %transpose.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.clalgop2ary" id="pent.clalgop2ary"></a>&lt;!ENTITY % clalgop2ary              
     "%vectorproduct.qname; 
      | %scalarproduct.qname; 
      | %outerproduct.qname;" &gt;

<a name="elem.vectorproduct.qname" id="elem.vectorproduct.qname"></a><a href="appendixa-d.html#attr.vectorproduct.qname">&lt;!ELEMENT</a> %vectorproduct.qname;  EMPTY &gt;
<a name="attr.vectorproduct.qname" id="attr.vectorproduct.qname"></a><a href="appendixa-d.html#elem.vectorproduct.qname">&lt;!ATTLIST</a> %vectorproduct.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.scalarproduct.qname" id="elem.scalarproduct.qname"></a><a href="appendixa-d.html#attr.scalarproduct.qname">&lt;!ELEMENT</a> %scalarproduct.qname;  EMPTY &gt;
<a name="attr.scalarproduct.qname" id="attr.scalarproduct.qname"></a><a href="appendixa-d.html#elem.scalarproduct.qname">&lt;!ATTLIST</a> %scalarproduct.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.outerproduct.qname" id="elem.outerproduct.qname"></a><a href="appendixa-d.html#attr.outerproduct.qname">&lt;!ELEMENT</a> %outerproduct.qname;  EMPTY &gt;
<a name="attr.outerproduct.qname" id="attr.outerproduct.qname"></a><a href="appendixa-d.html#elem.outerproduct.qname">&lt;!ATTLIST</a> %outerproduct.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.clalgopnary" id="pent.clalgopnary"></a>&lt;!ENTITY % clalgopnary              
     "%selector.qname;" &gt;

<a name="elem.selector.qname" id="elem.selector.qname"></a><a href="appendixa-d.html#attr.selector.qname">&lt;!ELEMENT</a> %selector.qname;  EMPTY &gt;
<a name="attr.selector.qname" id="attr.selector.qname"></a><a href="appendixa-d.html#elem.selector.qname">&lt;!ATTLIST</a> %selector.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

&lt;!-- Content elements: relations --&gt;

<a name="pent.cgenrel2ary" id="pent.cgenrel2ary"></a>&lt;!ENTITY % cgenrel2ary             
     "%neq.qname; | %factorof.qname;" &gt;

<a name="elem.neq.qname" id="elem.neq.qname"></a><a href="appendixa-d.html#attr.neq.qname">&lt;!ELEMENT</a> %neq.qname;  EMPTY &gt;
<a name="attr.neq.qname" id="attr.neq.qname"></a><a href="appendixa-d.html#elem.neq.qname">&lt;!ATTLIST</a> %neq.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.factorof.qname" id="elem.factorof.qname"></a><a href="appendixa-d.html#attr.factorof.qname">&lt;!ELEMENT</a> %factorof.qname;  EMPTY &gt;
<a name="attr.factorof.qname" id="attr.factorof.qname"></a><a href="appendixa-d.html#elem.factorof.qname">&lt;!ATTLIST</a> %factorof.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.cgenrelnary" id="pent.cgenrelnary"></a>&lt;!ENTITY % cgenrelnary              
     "%eq.qname; | %leq.qname; | %lt.qname; | %geq.qname; 
      | %gt.qname;| %equivalent.qname; | %approx.qname;" &gt;

<a name="elem.eq.qname" id="elem.eq.qname"></a><a href="appendixa-d.html#attr.eq.qname">&lt;!ELEMENT</a> %eq.qname;  EMPTY &gt;
<a name="attr.eq.qname" id="attr.eq.qname"></a><a href="appendixa-d.html#elem.eq.qname">&lt;!ATTLIST</a> %eq.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.equivalent.qname" id="elem.equivalent.qname"></a><a href="appendixa-d.html#attr.equivalent.qname">&lt;!ELEMENT</a> %equivalent.qname;  EMPTY &gt;
<a name="attr.equivalent.qname" id="attr.equivalent.qname"></a><a href="appendixa-d.html#elem.equivalent.qname">&lt;!ATTLIST</a> %equivalent.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.approx.qname" id="elem.approx.qname"></a><a href="appendixa-d.html#attr.approx.qname">&lt;!ELEMENT</a> %approx.qname;  EMPTY &gt;
<a name="attr.approx.qname" id="attr.approx.qname"></a><a href="appendixa-d.html#elem.approx.qname">&lt;!ATTLIST</a> %approx.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.gt.qname" id="elem.gt.qname"></a><a href="appendixa-d.html#attr.gt.qname">&lt;!ELEMENT</a> %gt.qname;  EMPTY &gt;
<a name="attr.gt.qname" id="attr.gt.qname"></a><a href="appendixa-d.html#elem.gt.qname">&lt;!ATTLIST</a> %gt.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.lt.qname" id="elem.lt.qname"></a><a href="appendixa-d.html#attr.lt.qname">&lt;!ELEMENT</a> %lt.qname;  EMPTY &gt;
<a name="attr.lt.qname" id="attr.lt.qname"></a><a href="appendixa-d.html#elem.lt.qname">&lt;!ATTLIST</a> %lt.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.geq.qname" id="elem.geq.qname"></a><a href="appendixa-d.html#attr.geq.qname">&lt;!ELEMENT</a> %geq.qname;  EMPTY &gt;
<a name="attr.geq.qname" id="attr.geq.qname"></a><a href="appendixa-d.html#elem.geq.qname">&lt;!ATTLIST</a> %geq.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.leq.qname" id="elem.leq.qname"></a><a href="appendixa-d.html#attr.leq.qname">&lt;!ELEMENT</a> %leq.qname;  EMPTY &gt;
<a name="attr.leq.qname" id="attr.leq.qname"></a><a href="appendixa-d.html#elem.leq.qname">&lt;!ATTLIST</a> %leq.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.csetrel2ary" id="pent.csetrel2ary"></a>&lt;!ENTITY % csetrel2ary              
     "%in.qname; | %notin.qname; | %notsubset.qname; | %notprsubset.qname;" &gt;

<a name="elem.in.qname" id="elem.in.qname"></a><a href="appendixa-d.html#attr.in.qname">&lt;!ELEMENT</a> %in.qname;  EMPTY &gt;
<a name="attr.in.qname" id="attr.in.qname"></a><a href="appendixa-d.html#elem.in.qname">&lt;!ATTLIST</a> %in.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.notin.qname" id="elem.notin.qname"></a><a href="appendixa-d.html#attr.notin.qname">&lt;!ELEMENT</a> %notin.qname;  EMPTY &gt;
<a name="attr.notin.qname" id="attr.notin.qname"></a><a href="appendixa-d.html#elem.notin.qname">&lt;!ATTLIST</a> %notin.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.notsubset.qname" id="elem.notsubset.qname"></a><a href="appendixa-d.html#attr.notsubset.qname">&lt;!ELEMENT</a> %notsubset.qname;  EMPTY &gt;
<a name="attr.notsubset.qname" id="attr.notsubset.qname"></a><a href="appendixa-d.html#elem.notsubset.qname">&lt;!ATTLIST</a> %notsubset.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.notprsubset.qname" id="elem.notprsubset.qname"></a><a href="appendixa-d.html#attr.notprsubset.qname">&lt;!ELEMENT</a> %notprsubset.qname;  EMPTY &gt;
<a name="attr.notprsubset.qname" id="attr.notprsubset.qname"></a><a href="appendixa-d.html#elem.notprsubset.qname">&lt;!ATTLIST</a> %notprsubset.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.csetrelnary" id="pent.csetrelnary"></a>&lt;!ENTITY % csetrelnary       
     "%subset.qname; | %prsubset.qname;" &gt;

<a name="elem.subset.qname" id="elem.subset.qname"></a><a href="appendixa-d.html#attr.subset.qname">&lt;!ELEMENT</a> %subset.qname;  EMPTY &gt;
<a name="attr.subset.qname" id="attr.subset.qname"></a><a href="appendixa-d.html#elem.subset.qname">&lt;!ATTLIST</a> %subset.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="elem.prsubset.qname" id="elem.prsubset.qname"></a><a href="appendixa-d.html#attr.prsubset.qname">&lt;!ELEMENT</a> %prsubset.qname;  EMPTY &gt;
<a name="attr.prsubset.qname" id="attr.prsubset.qname"></a><a href="appendixa-d.html#elem.prsubset.qname">&lt;!ATTLIST</a> %prsubset.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
&gt;

<a name="pent.cseqrel2ary" id="pent.cseqrel2ary"></a>&lt;!ENTITY % cseqrel2ary              
     "%tendsto.qname;" &gt;

<a name="elem.tendsto.qname" id="elem.tendsto.qname"></a><a href="appendixa-d.html#attr.tendsto.qname">&lt;!ELEMENT</a> %tendsto.qname;  EMPTY &gt;
<a name="attr.tendsto.qname" id="attr.tendsto.qname"></a><a href="appendixa-d.html#elem.tendsto.qname">&lt;!ATTLIST</a> %tendsto.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
      <a href="appendixa-d.html#pent.att.definition">%att-definition;</a>
      <a href="appendixa-d.html#pent.att.encoding">%att-encoding;</a>
      <a href="appendixa-d.html#pent.att.type">%att-type;</a>
&gt;

&lt;!-- Content elements: quantifiers --&gt;

<a name="pent.cquantifier" id="pent.cquantifier"></a>&lt;!ENTITY % cquantifier            
     "%lowlimit.qname; | %uplimit.qname; | %bvar.qname; 
      | %degree.qname; | %logbase.qname;
      | %momentabout.qname; | %domainofapplication.qname; " &gt;

<a name="attr.lowlimit.qname" id="attr.lowlimit.qname"></a><a href="appendixa-d.html#elem.lowlimit.qname">&lt;!ATTLIST</a> %lowlimit.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.uplimit.qname" id="attr.uplimit.qname"></a><a href="appendixa-d.html#elem.uplimit.qname">&lt;!ATTLIST</a> %uplimit.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.bvar.qname" id="attr.bvar.qname"></a><a href="appendixa-d.html#elem.bvar.qname">&lt;!ATTLIST</a> %bvar.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.degree.qname" id="attr.degree.qname"></a><a href="appendixa-d.html#elem.degree.qname">&lt;!ATTLIST</a> %degree.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.logbase.qname" id="attr.logbase.qname"></a><a href="appendixa-d.html#elem.logbase.qname">&lt;!ATTLIST</a> %logbase.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.momentabout.qname" id="attr.momentabout.qname"></a><a href="appendixa-d.html#elem.momentabout.qname">&lt;!ATTLIST</a> %momentabout.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

<a name="attr.domainofapplication.qname" id="attr.domainofapplication.qname"></a><a href="appendixa-d.html#elem.domainofapplication.qname">&lt;!ATTLIST</a> %domainofapplication.qname;
      <a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
&gt;

&lt;!-- Operator groups --&gt;

<a name="pent.cop1ary" id="pent.cop1ary"></a>&lt;!ENTITY % cop1ary                  
     "<a href="appendixa-d.html#pent.cfuncop1ary">%cfuncop1ary;</a> | <a href="appendixa-d.html#pent.carithop1ary">%carithop1ary;</a> | <a href="appendixa-d.html#pent.clogicop1ary">%clogicop1ary;</a> |
      <a href="appendixa-d.html#pent.ccalcop1ary">%ccalcop1ary;</a> | <a href="appendixa-d.html#pent.ctrigop">%ctrigop;</a> | <a href="appendixa-d.html#pent.clalgop1ary">%clalgop1ary;</a> |
      <a href="appendixa-d.html#pent.csetop1ary">%csetop1ary;</a>" &gt;

<a name="pent.cop2ary" id="pent.cop2ary"></a>&lt;!ENTITY % cop2ary                  
     "<a href="appendixa-d.html#pent.carithop2ary">%carithop2ary;</a> | <a href="appendixa-d.html#pent.clogicop2ary">%clogicop2ary;</a>| <a href="appendixa-d.html#pent.clalgop2ary">%clalgop2ary;</a> | <a href="appendixa-d.html#pent.csetop2ary">%csetop2ary;</a>" &gt;

<a name="pent.copnary" id="pent.copnary"></a>&lt;!ENTITY % copnary                  
     "<a href="appendixa-d.html#pent.cfuncopnary">%cfuncopnary;</a> | <a href="appendixa-d.html#pent.carithopnary">%carithopnary;</a> | <a href="appendixa-d.html#pent.clogicopnary">%clogicopnary;</a> |
      <a href="appendixa-d.html#pent.csetopnary">%csetopnary;</a> | <a href="appendixa-d.html#pent.cstatopnary">%cstatopnary;</a> | <a href="appendixa-d.html#pent.clalgopnary">%clalgopnary;</a>" &gt;

<a name="pent.copmisc" id="pent.copmisc"></a>&lt;!ENTITY % copmisc                  
     "<a href="appendixa-d.html#pent.carithoproot">%carithoproot;</a> | <a href="appendixa-d.html#pent.carithop1or2ary">%carithop1or2ary;</a> | <a href="appendixa-d.html#pent.ccalcop">%ccalcop;</a> |
      <a href="appendixa-d.html#pent.cseqop">%cseqop;</a> | <a href="appendixa-d.html#pent.cstatopmoment">%cstatopmoment;</a> | <a href="appendixa-d.html#pent.clogicopquant">%clogicopquant;</a>" &gt;

&lt;!-- Relation groups --&gt;

<a name="pent.crel2ary" id="pent.crel2ary"></a>&lt;!ENTITY % crel2ary                 
     "<a href="appendixa-d.html#pent.cgenrel2ary">%cgenrel2ary;</a> | <a href="appendixa-d.html#pent.csetrel2ary">%csetrel2ary;</a> | <a href="appendixa-d.html#pent.cseqrel2ary">%cseqrel2ary;</a>" &gt;

<a name="pent.crelnary" id="pent.crelnary"></a>&lt;!ENTITY % crelnary                 
     "<a href="appendixa-d.html#pent.cgenrelnary">%cgenrelnary;</a> | <a href="appendixa-d.html#pent.csetrelnary">%csetrelnary;</a>" &gt;

&lt;!-- Content constructs: all --&gt;

<a name="pent.Content" id="pent.Content"></a>&lt;!ENTITY % Content                  
     "<a href="appendixa-d.html#pent.ctoken">%ctoken;</a> | <a href="appendixa-d.html#pent.cspecial">%cspecial;</a> | <a href="appendixa-d.html#pent.cother">%cother;</a> | <a href="appendixa-d.html#pent.csemantics">%csemantics;</a> | <a href="appendixa-d.html#pent.c0ary">%c0ary;</a>
      | <a href="appendixa-d.html#pent.cconstructor">%cconstructor;</a> | <a href="appendixa-d.html#pent.cquantifier">%cquantifier;</a> | <a href="appendixa-d.html#pent.cop1ary">%cop1ary;</a> | <a href="appendixa-d.html#pent.cop2ary">%cop2ary;</a> 
      | <a href="appendixa-d.html#pent.copnary">%copnary;</a> |<a href="appendixa-d.html#pent.copmisc">%copmisc;</a> | <a href="appendixa-d.html#pent.crel2ary">%crel2ary;</a> | <a href="appendixa-d.html#pent.crelnary">%crelnary;</a>" &gt;

&lt;!-- Content constructs for substitution in presentation structures --&gt;

<a name="pent.ContInPres" id="pent.ContInPres"></a>&lt;!ENTITY % ContInPres               
     "%ci.qname; |%csymbol.qname;| %cn.qname; | <a href="appendixa-d.html#pent.c0ary">%c0ary;</a> |
      %apply.qname; | %fn.qname; |
      %lambda.qname; | %reln.qname; |
      <a href="appendixa-d.html#pent.cconstructor">%cconstructor;</a> |
      %semantics.qname; |%declare.qname;" &gt;

&lt;!-- ............................................................. --&gt;
&lt;!-- Recursive definition for content of expressions. Include
     presentation constructs at lowest level so presentation
     layout schemata hold presentation or content elements.
     Include content constructs at lowest level so content
     elements hold PCDATA or presentation elements at leaf
     level (for permitted substitutable elements in context)
--&gt;
<span class="diff-add">&lt;![<a href="appendixa-d.html#pent.MathMLstrict">%MathMLstrict;</a>[
&lt;!-- in strict mode don't allow presentation in content
     except where allowed by chapter 5:
     ci, cn, csymbol, semantics
--&gt;
  &lt;!ENTITY % ContentExpression  "(<a href="appendixa-d.html#pent.Content">%Content;</a>)*" &gt;
  &lt;!ENTITY % semanticsContentExpression        
       "(<a href="appendixa-d.html#pent.Content">%Content;</a> | <a href="appendixa-d.html#pent.PresInCont">%PresInCont;</a> |
         %annotation.qname; | %annotation-xml.qname;)*" &gt;
]]&gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<a name="pent.ContentExpression" id="pent.ContentExpression"></a>&lt;!ENTITY % ContentExpression        
     "(<a href="appendixa-d.html#pent.Content">%Content;</a> | <a href="appendixa-d.html#pent.PresInCont">%PresInCont;</a>)*" &gt;
<a name="pent.semanticsContentExpression" id="pent.semanticsContentExpression"></a>&lt;!ENTITY % semanticsContentExpression    "<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>"&gt;    


<a name="pent.PresExpression" id="pent.PresExpression"></a>&lt;!ENTITY % PresExpression      
     "(<a href="appendixa-d.html#pent.Presentation">%Presentation;</a> | <a href="appendixa-d.html#pent.ContInPres">%ContInPres;</a>)*" &gt;
<a name="pent.MathExpression" id="pent.MathExpression"></a>&lt;!ENTITY % MathExpression           
     "(<a href="appendixa-d.html#pent.PresInCont">%PresInCont;</a> | <a href="appendixa-d.html#pent.ContInPres">%ContInPres;</a>)*" &gt;

&lt;!-- PCDATA or MathML character elements --&gt;
<a name="pent.MathMLCharacters" id="pent.MathMLCharacters"></a>&lt;!ENTITY % MathMLCharacters         
     "#PCDATA | %mglyph.qname; " &gt;

&lt;!-- Content elements: tokens                       --&gt;
&lt;!-- (may contain embedded presentation constructs) --&gt;

<a name="elem.ci.qname" id="elem.ci.qname"></a><a href="appendixa-d.html#attr.ci.qname">&lt;!ELEMENT</a> %ci.qname;                 (<a href="appendixa-d.html#pent.MathMLCharacters">%MathMLCharacters;</a> | <a href="appendixa-d.html#pent.PresInCont">%PresInCont;</a>)* &gt;
<a name="elem.csymbol.qname" id="elem.csymbol.qname"></a><a href="appendixa-d.html#attr.csymbol.qname">&lt;!ELEMENT</a> %csymbol.qname;            (<a href="appendixa-d.html#pent.MathMLCharacters">%MathMLCharacters;</a> | <a href="appendixa-d.html#pent.PresInCont">%PresInCont;</a>)* &gt;
<a name="elem.cn.qname" id="elem.cn.qname"></a><a href="appendixa-d.html#attr.cn.qname">&lt;!ELEMENT</a> %cn.qname;                 (<a href="appendixa-d.html#pent.MathMLCharacters">%MathMLCharacters;</a> | %sep.qname; | <a href="appendixa-d.html#pent.PresInCont">%PresInCont;</a>)* &gt;

&lt;!-- Content elements: special --&gt;

<a name="elem.apply.qname" id="elem.apply.qname"></a><a href="appendixa-d.html#attr.apply.qname">&lt;!ELEMENT</a> %apply.qname;              (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;
<a name="elem.reln.qname" id="elem.reln.qname"></a><a href="appendixa-d.html#attr.reln.qname">&lt;!ELEMENT</a> %reln.qname;               (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;
<a name="elem.lambda.qname" id="elem.lambda.qname"></a><a href="appendixa-d.html#attr.lambda.qname">&lt;!ELEMENT</a> %lambda.qname;             (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;

&lt;!-- Content elements: other --&gt;

<a name="elem.condition.qname" id="elem.condition.qname"></a><a href="appendixa-d.html#attr.condition.qname">&lt;!ELEMENT</a> %condition.qname;          (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;
<a name="elem.declare.qname" id="elem.declare.qname"></a><a href="appendixa-d.html#attr.declare.qname">&lt;!ELEMENT</a> %declare.qname;            (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;

&lt;!-- Content elements: semantics --&gt;

<a name="elem.semantics.qname" id="elem.semantics.qname"></a><a href="appendixa-d.html#attr.semantics.qname">&lt;!ELEMENT</a> %semantics.qname;          (<a href="appendixa-d.html#pent.semanticsContentExpression">%semanticsContentExpression;</a>) &gt;
<a name="pent.Annotation.content" id="pent.Annotation.content"></a>&lt;!ENTITY % Annotation.content  "( #PCDATA )" &gt;
<a name="elem.annotation.qname" id="elem.annotation.qname"></a><a href="appendixa-d.html#attr.annotation.qname">&lt;!ELEMENT</a> %annotation.qname;         <a href="appendixa-d.html#pent.Annotation.content">%Annotation.content;</a> &gt;

<a name="pent.Annotation.xml.content" id="pent.Annotation.xml.content"></a>&lt;!ENTITY % Annotation-xml.content "ANY" &gt;
<a name="elem.annotation.xml.qname" id="elem.annotation.xml.qname"></a><a href="appendixa-d.html#attr.annotation.xml.qname">&lt;!ELEMENT</a> %annotation-xml.qname;     <a href="appendixa-d.html#pent.Annotation.xml.content">%Annotation-xml.content;</a> &gt;

&lt;!-- Content elements: constructors --&gt;

<a name="elem.interval.qname" id="elem.interval.qname"></a><a href="appendixa-d.html#attr.interval.qname">&lt;!ELEMENT</a> %interval.qname;           (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;
<a name="elem.set.qname" id="elem.set.qname"></a><a href="appendixa-d.html#attr.set.qname">&lt;!ELEMENT</a> %set.qname;                (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;
<a name="elem.list.qname" id="elem.list.qname"></a><a href="appendixa-d.html#attr.list.qname">&lt;!ELEMENT</a> %list.qname;               (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;
<a name="elem.vector.qname" id="elem.vector.qname"></a><a href="appendixa-d.html#attr.vector.qname">&lt;!ELEMENT</a> %vector.qname;             (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;
<a name="elem.matrix.qname" id="elem.matrix.qname"></a><a href="appendixa-d.html#attr.matrix.qname">&lt;!ELEMENT</a> %matrix.qname;             (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;
<a name="elem.matrixrow.qname" id="elem.matrixrow.qname"></a><a href="appendixa-d.html#attr.matrixrow.qname">&lt;!ELEMENT</a> %matrixrow.qname;          (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;

<a name="elem.piecewise.qname" id="elem.piecewise.qname"></a><a href="appendixa-d.html#attr.piecewise.qname">&lt;!ELEMENT</a> %piecewise.qname;          ((%piece.qname;)*, (%otherwise.qname;)? ) &gt;
<a name="elem.piece.qname" id="elem.piece.qname"></a><a href="appendixa-d.html#attr.piece.qname">&lt;!ELEMENT</a> %piece.qname;              (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;
<a name="elem.otherwise.qname" id="elem.otherwise.qname"></a><a href="appendixa-d.html#attr.otherwise.qname">&lt;!ELEMENT</a> %otherwise.qname;          (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;

&lt;!-- Content elements: operator (user-defined) --&gt;

<a name="elem.fn.qname" id="elem.fn.qname"></a><a href="appendixa-d.html#attr.fn.qname">&lt;!ELEMENT</a> %fn.qname;                 (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;

&lt;!-- Content elements: quantifiers --&gt;

<a name="elem.lowlimit.qname" id="elem.lowlimit.qname"></a><a href="appendixa-d.html#attr.lowlimit.qname">&lt;!ELEMENT</a> %lowlimit.qname;           (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;
<a name="elem.uplimit.qname" id="elem.uplimit.qname"></a><a href="appendixa-d.html#attr.uplimit.qname">&lt;!ELEMENT</a> %uplimit.qname;            (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;
<a name="elem.bvar.qname" id="elem.bvar.qname"></a><a href="appendixa-d.html#attr.bvar.qname">&lt;!ELEMENT</a> %bvar.qname;               (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;
<a name="elem.degree.qname" id="elem.degree.qname"></a><a href="appendixa-d.html#attr.degree.qname">&lt;!ELEMENT</a> %degree.qname;             (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;
<a name="elem.logbase.qname" id="elem.logbase.qname"></a><a href="appendixa-d.html#attr.logbase.qname">&lt;!ELEMENT</a> %logbase.qname;            (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;
<a name="elem.momentabout.qname" id="elem.momentabout.qname"></a><a href="appendixa-d.html#attr.momentabout.qname">&lt;!ELEMENT</a> %momentabout.qname;        (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;
<a name="elem.domainofapplication.qname" id="elem.domainofapplication.qname"></a><a href="appendixa-d.html#attr.domainofapplication.qname">&lt;!ELEMENT</a> %domainofapplication.qname; (<a href="appendixa-d.html#pent.ContentExpression">%ContentExpression;</a>) &gt;

&lt;!-- ............................................................. --&gt;
&lt;!-- Presentation layout schemata contain tokens,
     layout and content schemata.
--&gt;



<span class="diff-add">&lt;![<a href="appendixa-d.html#pent.MathMLstrict">%MathMLstrict;</a>[
&lt;!-- In strict mode enforce mfrac has exactly two children
      same for msub etc --&gt;
  &lt;!ENTITY % onePresExpression
       "(<a href="appendixa-d.html#pent.Presentation">%Presentation;</a> | <a href="appendixa-d.html#pent.ContInPres">%ContInPres;</a>)" &gt;
  &lt;!ENTITY % twoPresExpression
       "(<a href="appendixa-d.html#pent.onePresExpression">%onePresExpression;</a>,<a href="appendixa-d.html#pent.onePresExpression">%onePresExpression;</a>)" &gt;
  &lt;!ENTITY % threePresExpression
       "(<a href="appendixa-d.html#pent.onePresExpression">%onePresExpression;</a>,<a href="appendixa-d.html#pent.onePresExpression">%onePresExpression;</a>,<a href="appendixa-d.html#pent.onePresExpression">%onePresExpression;</a>)" &gt;
  &lt;!ENTITY % mtrPresExpression
       "(%mtr.qname;|%mlabeledtr.qname;)*" &gt;
  &lt;!ENTITY % mtdPresExpression
       "(%mtd.qname;)*" &gt;
  &lt;!ENTITY % prscrPresExpression " (<a href="appendixa-d.html#pent.onePresExpression">%onePresExpression;</a>,
  ((<a href="appendixa-d.html#pent.onePresExpression">%onePresExpression;</a>|%none.qname;),(<a href="appendixa-d.html#pent.onePresExpression">%onePresExpression;</a>|%none.qname;))*,
  (%mprescripts.qname;,
  ((<a href="appendixa-d.html#pent.onePresExpression">%onePresExpression;</a>|%none.qname;),(<a href="appendixa-d.html#pent.onePresExpression">%onePresExpression;</a>|%none.qname;))*)?
  )"&gt;
]]&gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>


&lt;!-- By default keep them as they were in MathML 2.0  --&gt;
<a name="pent.onePresExpression" id="pent.onePresExpression"></a>&lt;!ENTITY % onePresExpression   "<a href="appendixa-d.html#pent.PresExpression">%PresExpression;</a>"&gt;
<a name="pent.twoPresExpression" id="pent.twoPresExpression"></a>&lt;!ENTITY % twoPresExpression   "<a href="appendixa-d.html#pent.PresExpression">%PresExpression;</a>"&gt;
<a name="pent.threePresExpression" id="pent.threePresExpression"></a>&lt;!ENTITY % threePresExpression "<a href="appendixa-d.html#pent.PresExpression">%PresExpression;</a>"&gt;
<a name="pent.mtrPresExpression" id="pent.mtrPresExpression"></a>&lt;!ENTITY % mtrPresExpression   "<a href="appendixa-d.html#pent.PresExpression">%PresExpression;</a>"&gt;
<a name="pent.mtdPresExpression" id="pent.mtdPresExpression"></a>&lt;!ENTITY % mtdPresExpression   "<a href="appendixa-d.html#pent.PresExpression">%PresExpression;</a>"&gt;
<a name="pent.prscrPresExpression" id="pent.prscrPresExpression"></a>&lt;!ENTITY % prscrPresExpression "<a href="appendixa-d.html#pent.PresExpression">%PresExpression;</a>"&gt;

<a name="elem.mstyle.qname" id="elem.mstyle.qname"></a><a href="appendixa-d.html#attr.mstyle.qname">&lt;!ELEMENT</a> %mstyle.qname;             (<a href="appendixa-d.html#pent.PresExpression">%PresExpression;</a>) &gt;
<a name="elem.merror.qname" id="elem.merror.qname"></a><a href="appendixa-d.html#attr.merror.qname">&lt;!ELEMENT</a> %merror.qname;             (<a href="appendixa-d.html#pent.PresExpression">%PresExpression;</a>) &gt;
<a name="elem.mphantom.qname" id="elem.mphantom.qname"></a><a href="appendixa-d.html#attr.mphantom.qname">&lt;!ELEMENT</a> %mphantom.qname;           (<a href="appendixa-d.html#pent.PresExpression">%PresExpression;</a>) &gt;
<a name="elem.mrow.qname" id="elem.mrow.qname"></a><a href="appendixa-d.html#attr.mrow.qname">&lt;!ELEMENT</a> %mrow.qname;               (<a href="appendixa-d.html#pent.PresExpression">%PresExpression;</a>) &gt;
<a name="elem.mfrac.qname" id="elem.mfrac.qname"></a><a href="appendixa-d.html#attr.mfrac.qname">&lt;!ELEMENT</a> %mfrac.qname;              (<a href="appendixa-d.html#pent.twoPresExpression">%twoPresExpression;</a>) &gt;
<a name="elem.msqrt.qname" id="elem.msqrt.qname"></a><a href="appendixa-d.html#attr.msqrt.qname">&lt;!ELEMENT</a> %msqrt.qname;              (<a href="appendixa-d.html#pent.PresExpression">%PresExpression;</a>) &gt;
<a name="elem.menclose.qname" id="elem.menclose.qname"></a><a href="appendixa-d.html#attr.menclose.qname">&lt;!ELEMENT</a> %menclose.qname;           (<a href="appendixa-d.html#pent.PresExpression">%PresExpression;</a>) &gt;
<a name="elem.mroot.qname" id="elem.mroot.qname"></a><a href="appendixa-d.html#attr.mroot.qname">&lt;!ELEMENT</a> %mroot.qname;              (<a href="appendixa-d.html#pent.twoPresExpression">%twoPresExpression;</a>) &gt;
<a name="elem.msub.qname" id="elem.msub.qname"></a><a href="appendixa-d.html#attr.msub.qname">&lt;!ELEMENT</a> %msub.qname;               (<a href="appendixa-d.html#pent.twoPresExpression">%twoPresExpression;</a>) &gt;
<a name="elem.msup.qname" id="elem.msup.qname"></a><a href="appendixa-d.html#attr.msup.qname">&lt;!ELEMENT</a> %msup.qname;               (<a href="appendixa-d.html#pent.twoPresExpression">%twoPresExpression;</a>) &gt;
<a name="elem.msubsup.qname" id="elem.msubsup.qname"></a><a href="appendixa-d.html#attr.msubsup.qname">&lt;!ELEMENT</a> %msubsup.qname;            (<a href="appendixa-d.html#pent.threePresExpression">%threePresExpression;</a>) &gt;
<a name="elem.mmultiscripts.qname" id="elem.mmultiscripts.qname"></a><a href="appendixa-d.html#attr.mmultiscripts.qname">&lt;!ELEMENT</a> %mmultiscripts.qname;      (<a href="appendixa-d.html#pent.prscrPresExpression">%prscrPresExpression;</a>) &gt;
<a name="elem.munder.qname" id="elem.munder.qname"></a><a href="appendixa-d.html#attr.munder.qname">&lt;!ELEMENT</a> %munder.qname;             (<a href="appendixa-d.html#pent.twoPresExpression">%twoPresExpression;</a>) &gt;
<a name="elem.mover.qname" id="elem.mover.qname"></a><a href="appendixa-d.html#attr.mover.qname">&lt;!ELEMENT</a> %mover.qname;              (<a href="appendixa-d.html#pent.twoPresExpression">%twoPresExpression;</a>) &gt;
<a name="elem.munderover.qname" id="elem.munderover.qname"></a><a href="appendixa-d.html#attr.munderover.qname">&lt;!ELEMENT</a> %munderover.qname;         (<a href="appendixa-d.html#pent.threePresExpression">%threePresExpression;</a>) &gt;
<a name="elem.mtable.qname" id="elem.mtable.qname"></a><a href="appendixa-d.html#attr.mtable.qname">&lt;!ELEMENT</a> %mtable.qname;             (<a href="appendixa-d.html#pent.mtrPresExpression">%mtrPresExpression;</a>) &gt;
<a name="elem.mtr.qname" id="elem.mtr.qname"></a><a href="appendixa-d.html#attr.mtr.qname">&lt;!ELEMENT</a> %mtr.qname;                (<a href="appendixa-d.html#pent.mtdPresExpression">%mtdPresExpression;</a>) &gt;
<a name="elem.mlabeledtr.qname" id="elem.mlabeledtr.qname"></a><a href="appendixa-d.html#attr.mlabeledtr.qname">&lt;!ELEMENT</a> %mlabeledtr.qname;         (<a href="appendixa-d.html#pent.mtdPresExpression">%mtdPresExpression;</a>) &gt;
<a name="elem.mtd.qname" id="elem.mtd.qname"></a><a href="appendixa-d.html#attr.mtd.qname">&lt;!ELEMENT</a> %mtd.qname;                (<a href="appendixa-d.html#pent.PresExpression">%PresExpression;</a>) &gt;
<a name="elem.maction.qname" id="elem.maction.qname"></a><a href="appendixa-d.html#attr.maction.qname">&lt;!ELEMENT</a> %maction.qname;            (<a href="appendixa-d.html#pent.PresExpression">%PresExpression;</a>) &gt;
<a name="elem.mfenced.qname" id="elem.mfenced.qname"></a><a href="appendixa-d.html#attr.mfenced.qname">&lt;!ELEMENT</a> %mfenced.qname;            (<a href="appendixa-d.html#pent.PresExpression">%PresExpression;</a>) &gt;
<a name="elem.mpadded.qname" id="elem.mpadded.qname"></a><a href="appendixa-d.html#attr.mpadded.qname">&lt;!ELEMENT</a> %mpadded.qname;            (<a href="appendixa-d.html#pent.PresExpression">%PresExpression;</a>) &gt;

&lt;!-- Presentation elements contain PCDATA or malignmark constructs. --&gt;

<a name="elem.mi.qname" id="elem.mi.qname"></a><a href="appendixa-d.html#attr.mi.qname">&lt;!ELEMENT</a> %mi.qname;                 (<a href="appendixa-d.html#pent.MathMLCharacters">%MathMLCharacters;</a> |
      %malignmark.qname;)* &gt;
<a name="elem.mn.qname" id="elem.mn.qname"></a><a href="appendixa-d.html#attr.mn.qname">&lt;!ELEMENT</a> %mn.qname;                 (<a href="appendixa-d.html#pent.MathMLCharacters">%MathMLCharacters;</a> |
      %malignmark.qname;)* &gt;
<a name="elem.mo.qname" id="elem.mo.qname"></a><a href="appendixa-d.html#attr.mo.qname">&lt;!ELEMENT</a> %mo.qname;                 (<a href="appendixa-d.html#pent.MathMLCharacters">%MathMLCharacters;</a> |
      %malignmark.qname;)* &gt;
<a name="elem.mtext.qname" id="elem.mtext.qname"></a><a href="appendixa-d.html#attr.mtext.qname">&lt;!ELEMENT</a> %mtext.qname;              (<a href="appendixa-d.html#pent.MathMLCharacters">%MathMLCharacters;</a> |
      %malignmark.qname;)* &gt;
<a name="elem.ms.qname" id="elem.ms.qname"></a><a href="appendixa-d.html#attr.ms.qname">&lt;!ELEMENT</a> %ms.qname;                 (<a href="appendixa-d.html#pent.MathMLCharacters">%MathMLCharacters;</a> |
      %malignmark.qname;)* &gt;

&lt;!-- Browser interface definition  ............................... --&gt;

&lt;!-- Attributes for top-level element "math" --&gt;

<a name="pent.att.macros" id="pent.att.macros"></a>&lt;!ENTITY % att-macros               
     "macros       CDATA                    #IMPLIED" &gt;
<a name="pent.att.mode" id="pent.att.mode"></a>&lt;!ENTITY % att-mode                 
     "mode         CDATA                    #IMPLIED" &gt;
<span class="diff-add">&lt;![<a href="appendixa-d.html#pent.MathMLstrict">%MathMLstrict;</a>[
  &lt;!ENTITY % att-display
     "display      ( block | inline )                    'inline'" &gt;
]]&gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<a name="pent.att.display" id="pent.att.display"></a>&lt;!ENTITY % att-display                
     "display      CDATA                    #IMPLIED" &gt;

<a name="pent.att.schemalocation" id="pent.att.schemalocation"></a>&lt;!ENTITY % att-schemalocation               
<span class="diff-add">     "<a href="appendixa-d.html#pent.mathml.qname.module">%Schema.prefix;</a>:schemaLocation CDATA  #IMPLIED"&gt;<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>

<a name="pent.att.topinfo" id="pent.att.topinfo"></a>&lt;!ENTITY % att-topinfo          
     "<a href="appendixa-d.html#pent.MATHML.Common.attrib">%MATHML.Common.attrib;</a>
<span class="diff-add">      <a href="appendixa-d.html#pent.att.schemalocation">%att-schemalocation;</a><a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
      <a href="appendixa-d.html#pent.att.macros">%att-macros;</a>
      <a href="appendixa-d.html#pent.att.mode">%att-mode;</a>
      <a href="appendixa-d.html#pent.att.display">%att-display;</a>" &gt;

&lt;!-- Attributes for browser interface element --&gt;

<a name="pent.att.baseline" id="pent.att.baseline"></a>&lt;!ENTITY % att-baseline             
     "baseline     CDATA                    #IMPLIED" &gt;
<a name="pent.att.overflow" id="pent.att.overflow"></a>&lt;!ENTITY % att-overflow            
     "overflow  ( scroll | elide | truncate | scale ) 'scroll'" &gt;
<a name="pent.att.altimg" id="pent.att.altimg"></a>&lt;!ENTITY % att-altimg               
     "altimg       CDATA                    #IMPLIED" &gt;
<a name="pent.att.alttext" id="pent.att.alttext"></a>&lt;!ENTITY % att-alttext           
     "alttext      CDATA                    #IMPLIED" &gt;

<a name="pent.att.browif" id="pent.att.browif"></a>&lt;!ENTITY % att-browif           
     "<a href="appendixa-d.html#pent.att.type">%att-type;</a>
      <a href="appendixa-d.html#pent.att.name">%att-name;</a>
      <a href="appendixa-d.html#pent.att.height">%att-height;</a>
      <a href="appendixa-d.html#pent.att.width">%att-width;</a>
      <a href="appendixa-d.html#pent.att.baseline">%att-baseline;</a>
      <a href="appendixa-d.html#pent.att.overflow">%att-overflow;</a>
      <a href="appendixa-d.html#pent.att.altimg">%att-altimg;</a>
      <a href="appendixa-d.html#pent.att.alttext">%att-alttext;</a>" &gt;

&lt;!-- ............................................................. --&gt;
&lt;!-- The top-level element "math" contains MathML encoded
     mathematics. The "math" element has the browser info
     attributes iff it is also the browser interface element.
--&gt;

<a name="elem.math.qname" id="elem.math.qname"></a><a href="appendixa-d.html#attr.math.qname">&lt;!ELEMENT</a> %math.qname;               (<a href="appendixa-d.html#pent.MathExpression">%MathExpression;</a>) &gt;

<a name="attr.math.qname" id="attr.math.qname"></a><a href="appendixa-d.html#elem.math.qname">&lt;!ATTLIST</a> %math.qname;
      <a href="appendixa-d.html#pent.att.topinfo">%att-topinfo;</a>
      <a href="appendixa-d.html#pent.att.browif">%att-browif;</a> &gt;

&lt;!-- MathML Character Entities .............................................. --&gt;
<a name="pent.mathml.charent.module" id="pent.mathml.charent.module"></a>&lt;!ENTITY % mathml-charent.module "INCLUDE" &gt;
&lt;![<a href="appendixa-d.html#pent.mathml.charent.module">%mathml-charent.module;</a>[
&lt;!-- Entity sets from ISO Technical Report 9573-13 ..... --&gt;

<a name="pent.ent.isoamsa" id="pent.ent.isoamsa"></a>&lt;!ENTITY % ent-isoamsa
      PUBLIC "-//W3C//ENTITIES Added Math Symbols: Arrow Relations for MathML 2.0//EN"
             "iso9573-13/isoamsa.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isoamsa;</a>

<a name="pent.ent.isoamsb" id="pent.ent.isoamsb"></a>&lt;!ENTITY % ent-isoamsb
      PUBLIC "-//W3C//ENTITIES Added Math Symbols: Binary Operators for MathML 2.0//EN"
             "iso9573-13/isoamsb.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isoamsb;</a>

<a name="pent.ent.isoamsc" id="pent.ent.isoamsc"></a>&lt;!ENTITY % ent-isoamsc
      PUBLIC "-//W3C//ENTITIES Added Math Symbols: Delimiters for MathML 2.0//EN"
             "iso9573-13/isoamsc.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isoamsc;</a>

<a name="pent.ent.isoamsn" id="pent.ent.isoamsn"></a>&lt;!ENTITY % ent-isoamsn
      PUBLIC "-//W3C//ENTITIES Added Math Symbols: Negated Relations for MathML 2.0//EN"
             "iso9573-13/isoamsn.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isoamsn;</a>

<a name="pent.ent.isoamso" id="pent.ent.isoamso"></a>&lt;!ENTITY % ent-isoamso
      PUBLIC "-//W3C//ENTITIES Added Math Symbols: Ordinary for MathML 2.0//EN"
             "iso9573-13/isoamso.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isoamso;</a>

<a name="pent.ent.isoamsr" id="pent.ent.isoamsr"></a>&lt;!ENTITY % ent-isoamsr
      PUBLIC "-//W3C//ENTITIES Added Math Symbols: Relations for MathML 2.0//EN"
             "iso9573-13/isoamsr.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isoamsr;</a>

<a name="pent.ent.isogrk3" id="pent.ent.isogrk3"></a>&lt;!ENTITY % ent-isogrk3
      PUBLIC "-//W3C//ENTITIES Greek Symbols for MathML 2.0//EN"
             "iso9573-13/isogrk3.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isogrk3;</a>

<a name="pent.ent.isomfrk" id="pent.ent.isomfrk"></a>&lt;!ENTITY % ent-isomfrk
      PUBLIC "-//W3C//ENTITIES Math Alphabets: Fraktur for MathML 2.0//EN"
             "iso9573-13/isomfrk.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isomfrk;</a>

<a name="pent.ent.isomopf" id="pent.ent.isomopf"></a>&lt;!ENTITY % ent-isomopf
      PUBLIC "-//W3C//ENTITIES Math Alphabets: Open Face for MathML 2.0//EN"
             "iso9573-13/isomopf.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isomopf;</a>

<a name="pent.ent.isomscr" id="pent.ent.isomscr"></a>&lt;!ENTITY % ent-isomscr
      PUBLIC "-//W3C//ENTITIES Math Alphabets: Script for MathML 2.0//EN"
             "iso9573-13/isomscr.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isomscr;</a>

<a name="pent.ent.isotech" id="pent.ent.isotech"></a>&lt;!ENTITY % ent-isotech
      PUBLIC "-//W3C//ENTITIES General Technical for MathML 2.0//EN"
             "iso9573-13/isotech.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isotech;</a>

&lt;!-- Entity sets from informative annex to ISO 8879:1986 (SGML) ....... --&gt;

<a name="pent.ent.isobox" id="pent.ent.isobox"></a>&lt;!ENTITY % ent-isobox
      PUBLIC "-//W3C//ENTITIES Box and Line Drawing for MathML 2.0//EN"
             "iso8879/isobox.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isobox;</a>

<a name="pent.ent.isocyr1" id="pent.ent.isocyr1"></a>&lt;!ENTITY % ent-isocyr1
      PUBLIC "-//W3C//ENTITIES Russian Cyrillic for MathML 2.0//EN"
             "iso8879/isocyr1.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isocyr1;</a>

<a name="pent.ent.isocyr2" id="pent.ent.isocyr2"></a>&lt;!ENTITY % ent-isocyr2
      PUBLIC "-//W3C//ENTITIES Non-Russian Cyrillic for MathML 2.0//EN"
             "iso8879/isocyr2.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isocyr2;</a>

<a name="pent.ent.isodia" id="pent.ent.isodia"></a>&lt;!ENTITY % ent-isodia
      PUBLIC "-//W3C//ENTITIES Diacritical Marks for MathML 2.0//EN"
             "iso8879/isodia.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isodia;</a>

<a name="pent.ent.isolat1" id="pent.ent.isolat1"></a>&lt;!ENTITY % ent-isolat1
      PUBLIC "-//W3C//ENTITIES Added Latin 1 for MathML 2.0//EN"
             "iso8879/isolat1.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isolat1;</a>

<a name="pent.ent.isolat2" id="pent.ent.isolat2"></a>&lt;!ENTITY % ent-isolat2
      PUBLIC "-//W3C//ENTITIES Added Latin 2 for MathML 2.0//EN"
             "iso8879/isolat2.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isolat2;</a>

<a name="pent.ent.isonum" id="pent.ent.isonum"></a>&lt;!ENTITY % ent-isonum
      PUBLIC "-//W3C//ENTITIES Numeric and Special Graphic for MathML 2.0//EN"
             "iso8879/isonum.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isonum;</a>

<a name="pent.ent.isopub" id="pent.ent.isopub"></a>&lt;!ENTITY % ent-isopub
      PUBLIC "-//W3C//ENTITIES Publishing for MathML 2.0//EN"
             "iso8879/isopub.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-isopub;</a>

&lt;!-- New characters defined by MathML ............................ --&gt;

<a name="pent.ent.mmlextra" id="pent.ent.mmlextra"></a>&lt;!ENTITY % ent-mmlextra
      PUBLIC "-//W3C//ENTITIES Extra for MathML 2.0//EN"
             "mathml/mmlextra.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-mmlextra;</a>

&lt;!-- MathML aliases for characters defined above ................. --&gt;

<a name="pent.ent.mmlalias" id="pent.ent.mmlalias"></a>&lt;!ENTITY % ent-mmlalias
      PUBLIC "-//W3C//ENTITIES Aliases for MathML 2.0//EN"
             "mathml/mmlalias.ent" &gt;
<a href="chapter6-d.html#chars.entity.tables">%ent-mmlalias;</a>

&lt;!-- end of MathML Character Entity section --&gt;]]&gt;

&lt;!-- Revision History:

       Initial draft (syntax = XML) 1997-05-09
          Stephen Buswell
       Revised 1997-05-14
          Robert Miner
       Revised 1997-06-29 and 1997-07-02
          Stephen Buswell
       Revised 1997-12-15
          Stephen Buswell
       Revised 1998-02-08
          Stephen Buswell
       Revised 1998-04-04
          Stephen Buswell
       Entities and small revisions 1999-02-21
          David Carlisle
       Added attribute definitionURL to ci and cn 1999-10-11
          Nico Poppelier
       Additions for MathML 2  1999-12-16
          David Carlisle
       Namespace support 2000-01-14
          David Carlisle
       XHTML Compatibility 2000-02-23
          Murray Altheim
       New content elements 2000-03-26
          David Carlisle
       Further revisions for MathML2 CR draft 2000-07-11
          David Carlisle
<span class="diff-add">       Further revisions for MathML2 CR draft 2000-10-31<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">          David Carlisle<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">       Revisions for Unicode 3.2  2002-05-21<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">          David Carlisle<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">       Add width and side attributes to mtable (to align with the specification)  2002-06-05<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">          David Carlisle<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">       Use %XLINK.prefix rather than hardwired xlink:, add xlink:type 2002-06-12<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">          David Carlisle<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">       Add missing numalign and denomalign attributes for mfrac 2002-07-05<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">          David Carlisle<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">       Add MathMLstrict entity and related extra constraints 2002-12-05<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">          David Carlisle<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">       Add support for xi:schemaLocation 2003-04-05<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">          David Carlisle<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">       Removed actiontype from mstyle (to match spec) 2003-04-07<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">          David Carlisle<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">       Additional constraints for MathMLstrict code (From Simon<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">          Pepping on www-math list) 2003-05-22<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">          David Carlisle<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">       Add missing minlabelspacing attribute (From Simon<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">          Pepping on www-math list) 2003-05-22<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">          David Carlisle<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">       Add missing height and depth attributes to mstyle (From Simon<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">          Pepping on www-math list) 2003-06-30<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">          David Carlisle<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">       Removed restricted menclose notation checking from MathMLstrict 2003-09-08<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>
<span class="diff-add">          David Carlisle<a href="appendixj-d.html#d0e55760"><span class="diff-link">J</span></a></span>

--&gt;

&lt;!-- end of MathML 2.0 DTD  ................................................ --&gt;
&lt;!-- ....................................................................... --&gt;
</pre></div>
         </div>
         <div class="diff-add">
            <div class="div2">
               
               <h2><a name="parsing.usingxsd" id="parsing.usingxsd"></a>A.3 Using the MathML XML Schema
               </h2>
               <p>MathML fragments can be validated using the XML Schema for MathML,
                  located at <a href="http://www.w3.org/Math/XMLSchema/mathml2/mathml2.xsd">http://www.w3.org/Math/XMLSchema/mathml2/mathml2.xsd</a>. The
                  provided schema allows checking a MathML fragment in a stricter way
                  than by performing DTD validation, in particular constrained attribute
                  values such as <a href="chapter3-d.html#presm.mfrac"><code>linethickness</code></a> are enforced by
                  the schema. Additionally, XML Schemas have the advantage over DTDs of
                  supporting the XML namespaces mechanism.  Thus a MathML fragment can
                  declare any namespace prefix (and possibly more than one), without the
                  requirement that the author indicate it using a parameter entity, as
                  described above.
               </p>
               <p>In its current version the schema does not declare deprecated
                  markup such as the <code>fn</code> element, so documents using such
                  deprecated features will be declared invalid.
               </p>
               <div class="div3">
                  
                  <h3><a name="parsing.schemalocation" id="parsing.schemalocation"></a>A.3.1 Associating the MathML schema with MathML fragments
                  </h3>
                  <p>Similarly to the DOCTYPE declaration used in documents, it is possible to link a MathML fragment to the XML Schema, as shown
                     below.
                  </p><pre>&lt;mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"
          xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
          xsi:schemaLocation="http://www.w3.org/1998/Math/MathML
            http://www.w3.org/Math/XMLSchema/mathml2/mathml2.xsd"&gt;
...
&lt;/mml:math&gt;</pre><p>The <code>xsi:schemaLocation</code> attribute belongs to the XML Schema
                     instance namespace, defined in <a href="appendixk-d.html#XMLSchemas">[XMLSchemas]</a>.  The value
                     of the attribute is a pair of URIs: the first is the MathML namespace
                     URI and the second is the location of the schema for that
                     namespace. The second URI may be changed to that of a local copy if
                     required.
                  </p>
                  <p>As the XML Schema specification indicates, the use of the
                     <code>schemaLocation</code> attribute is only a hint for schema
                     processors: validation by a MathML-aware processor can be performed
                     without requiring that the <code>schemaLocation</code> attribute be
                     declared in the instance. Moreover, a processor can even ignore or
                     override the specified schema URI, if it is directed to.
                  </p>
                  <p>Note that the file <code>mathml.xsd</code> at the URI given above
                     is only the main body of the schema, and is one of many files that
                     constitute the MathML XML Schema. However the complete set of files is
                     available as a <a href="http://www.w3.org/Math/XMLSchema/mathml2.tgz">gzipped tar archive</a>
                     for local use.
                  </p>
               </div>
               <div class="div3">
                  
                  <h3><a name="parsing-charents" id="parsing-charents"></a>A.3.2 Character entity references
                  </h3>
                  <p>Although validating a MathML fragment with the XML Schema provided
                     performs more checks regarding the structure of the fragment than the
                     DTD, DTD processing is still necessary if the MathML markup contains
                     entity references for characters and symbols, as XML Schema does not
                     provide a mechanism for expanding named entities.  Therefore the
                     MathML DOCTYPE declaration must still be present if one wishes to use
                     entities for mathematical symbols, such as
                     <code>&amp;DifferentialD;</code>. An example of a MathML document
                     linking to both the MathML DTD and the XML Schema is shown below.
                  </p><pre>&lt;!DOCTYPE mml:math 
    PUBLIC "-//W3C//DTD MathML 2.0//EN"
           "http://www.w3.org/Math/DTD/mathml2/mathml2.dtd" [
    &lt;!ENTITY % MATHML.prefixed "INCLUDE"&gt;
    &lt;!ENTITY % MATHML.prefix "mml"&gt;
]&gt;

&lt;mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"
      xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
      xsi:schemaLocation="http://www.w3.org/1998/Math/MathML
            http://www.w3.org/Math/XMLSchema/mathml2/mathml2.xsd"&gt;
...
    &lt;mml:mo&gt; &amp;DifferentialD; &lt;/mml:mo&gt;
...
&lt;/mml:math&gt;</pre><p>The use of character references to represent characters and
                     symbols, such as <code>&amp;#x2146;</code> (which is equivalent
                     <code>to &amp;DifferentialD;</code>) does not necessitate the use of a
                     DOCTYPE declaration.
                  </p>
               </div>
            </div><a href="appendixj-d.html#d0e55765"><sub class="diff-link">J</sub></a></div>
      </div>
      <div class="minitoc">
         
           Overview: <a href="overview-d.html">Mathematical Markup Language (MathML) Version 2.0 (Second Edition)</a><br>
           Previous:     8 <a href="chapter8-d.html">Document Object Model for MathML</a><br>
           Next:     B <a href="appendixb-d.html">Content Markup Validation Grammar</a></div>
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