<!-- MathML 2.0 DTD  ....................................................... -->
<!-- file: mathml2.dtd
-->

<!-- 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 1998-2000 World Wide Web Consortium
        (Massachusetts Institute of Technology, Institut National de
         Recherche en Informatique et en Automatique, Keio University).
         All Rights Reserved.

     Permission to use, copy, modify and distribute the XHTML 1.1 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: mathml2.dtd,v 1.1 2002/04/16 18:47:11 beck 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
-->


<!-- MathML Qualified Names module ............................... -->
<!ENTITY % mathml-qname.module "INCLUDE" >
<![%mathml-qname.module;[
<!ENTITY % mathml-qname.mod
     PUBLIC "-//W3C//ENTITIES MathML 2.0 Qualified Names 1.0//EN"
            "mathml2-qname-1.mod" >
%mathml-qname.mod;]]>

<!-- if %NS.prefixed; is INCLUDE, include all NS attributes, 
     otherwise just those associated with MathML
-->
<![%NS.prefixed;[
<!ENTITY % MATHML.NamespaceDecl.attrib 
     "%NamespaceDecl.attrib;"
>
]]>
<!ENTITY % MATHML.NamespaceDecl.attrib 
     "%MATHML.xmlns.attrib;"
>

<!-- Attributes shared by all elements  .......................... -->

<!ENTITY % MATHML.Common.attrib
     "%MATHML.NamespaceDecl.attrib;
      xlink:href   CDATA                    #IMPLIED
      class        CDATA                    #IMPLIED
      style        CDATA                    #IMPLIED
      id           ID                       #IMPLIED
      xref         IDREF                    #IMPLIED
      other        CDATA                    #IMPLIED"
>

<!-- Presentation element set  ................................... -->

<!-- Attribute definitions -->

<!ENTITY % att-fontsize
     "fontsize     CDATA                    #IMPLIED" >
<!ENTITY % att-fontweight
     "fontweight   ( normal | bold )        #IMPLIED" >
<!ENTITY % att-fontstyle
     "fontstyle    ( normal | italic )      #IMPLIED" >
<!ENTITY % att-fontfamily
     "fontfamily   CDATA                    #IMPLIED" >
<!ENTITY % att-color
     "color        CDATA                    #IMPLIED" >

<!-- MathML2 typographically-distinguished symbol attributes -->

<!ENTITY % att-mathvariant
     "mathvariant     CDATA                    #IMPLIED" >
<!ENTITY % att-mathsize
     "mathsize     CDATA                    #IMPLIED" >
<!ENTITY % att-mathcolor
     "mathcolor     CDATA                    #IMPLIED" >
<!ENTITY % att-mathbackground
     "mathbackground     CDATA                    #IMPLIED" >

<!ENTITY % att-fontinfo
     "%att-fontsize;
      %att-fontweight;
      %att-fontstyle;
      %att-fontfamily;
      %att-color;
      %att-mathvariant;
      %att-mathsize;
      %att-mathcolor;
      %att-mathbackground;"
>

<!ENTITY % att-form
     "form         ( prefix | infix | postfix )  #IMPLIED" >
<!ENTITY % att-fence
     "fence        ( true | false )         #IMPLIED" >
<!ENTITY % att-separator
     "separator    ( true | false )         #IMPLIED" >
<!ENTITY % att-lspace
     "lspace       CDATA                    #IMPLIED" >
<!ENTITY % att-rspace
     "rspace       CDATA                    #IMPLIED" >
<!ENTITY % att-stretchy
     "stretchy     ( true | false )         #IMPLIED" >
<!ENTITY % att-symmetric
     "symmetric    ( true | false )         #IMPLIED" >
<!ENTITY % att-maxsize
     "maxsize      CDATA                    #IMPLIED" >
<!ENTITY % att-minsize
     "minsize      CDATA                    #IMPLIED" >
<!ENTITY % att-largeop
     "largeop      ( true | false)          #IMPLIED" >
<!ENTITY % att-movablelimits
     "movablelimits ( true | false )        #IMPLIED" >
<!ENTITY % att-accent
     "accent       ( true | false )         #IMPLIED" >

<!ENTITY % att-opinfo
     "%att-form;
      %att-fence;
      %att-separator;
      %att-lspace;
      %att-rspace;
      %att-stretchy;
      %att-symmetric;
      %att-maxsize;
      %att-minsize;
      %att-largeop;
      %att-movablelimits;
      %att-accent;"
>
<!ENTITY % att-width
     "width        CDATA                    #IMPLIED" >
<!ENTITY % att-height
     "height       CDATA                    #IMPLIED" >
<!ENTITY % att-depth
     "depth        CDATA                    #IMPLIED" >
<!ENTITY % att-linebreak
     "linebreak    CDATA                    #IMPLIED" >
<!ENTITY % att-sizeinfo
     "%att-width;
      %att-height;
      %att-depth;"
>
<!ENTITY % att-lquote               
     "lquote       CDATA                    #IMPLIED" >
<!ENTITY % att-rquote               
     "rquote       CDATA                    #IMPLIED" >
<!ENTITY % att-linethickness        
     "linethickness CDATA                   #IMPLIED" >
<!ENTITY % att-scriptlevel          
     "scriptlevel  CDATA                    #IMPLIED" >
<!ENTITY % att-displaystyle         
     "displaystyle ( true | false )         #IMPLIED" >
<!ENTITY % att-scriptsizemultiplier 
     "scriptsizemultiplier CDATA            #IMPLIED" >
<!ENTITY % att-scriptminsize        
     "scriptminsize CDATA                   #IMPLIED" >
<!ENTITY % att-background           
     "background   CDATA                    #IMPLIED" >
<!ENTITY % att-veryverythinmathspace           
     "veryverythinmathspace   CDATA         #IMPLIED" >
<!ENTITY % att-verythinmathspace           
     "verythinmathspace   CDATA             #IMPLIED" >
<!ENTITY % att-thinmathspace           
     "thinmathspace   CDATA                 #IMPLIED" >
<!ENTITY % att-mediummathspace           
     "mediummathspace   CDATA               #IMPLIED" >
<!ENTITY % att-thickmathspace           
     "thickmathspace   CDATA                #IMPLIED" >
<!ENTITY % att-verythickmathspace           
     "verythickmathspace   CDATA            #IMPLIED" >
<!ENTITY % att-veryverythickmathspace           
     "veryverythickmathspace   CDATA        #IMPLIED" >
<!ENTITY % att-open                 
     "open         CDATA                    #IMPLIED" >
<!ENTITY % att-close                
     "close        CDATA                    #IMPLIED" >
<!ENTITY % att-separators          
     "separators   CDATA                    #IMPLIED" >
<!ENTITY % att-subscriptshift       
     "subscriptshift CDATA                  #IMPLIED" >
<!ENTITY % att-superscriptshift     
     "superscriptshift CDATA                #IMPLIED" >
<!ENTITY % att-accentunder          
     "accentunder  ( true | false )         #IMPLIED" >
<!ENTITY % att-align       
     "align        CDATA                    #IMPLIED" >
<!ENTITY % att-rowalign      
     "rowalign     CDATA                    #IMPLIED" >
<!ENTITY % att-columnalign     
     "columnalign  CDATA                    #IMPLIED" >
<!ENTITY % att-columnwidth   
     "columnwidth  CDATA                    #IMPLIED" >
<!ENTITY % att-groupalign      
     "groupalign   CDATA                    #IMPLIED" >
<!ENTITY % att-alignmentscope 
     "alignmentscope CDATA                  #IMPLIED" >
<!ENTITY % att-rowspacing           
     "rowspacing   CDATA                    #IMPLIED" >
<!ENTITY % att-columnspacing      
     "columnspacing CDATA                   #IMPLIED" >
<!ENTITY % att-rowlines            
     "rowlines     CDATA                    #IMPLIED" >
<!ENTITY % att-columnlines        
     "columnlines  CDATA                    #IMPLIED" >
<!ENTITY % att-frame            
     "frame       ( none | solid | dashed ) #IMPLIED" >
<!ENTITY % att-framespacing         
     "framespacing CDATA                    #IMPLIED" >
<!ENTITY % att-equalrows        
     "equalrows    CDATA                    #IMPLIED" >
<!ENTITY % att-equalcolumns         
     "equalcolumns CDATA                    #IMPLIED" >

<!ENTITY % att-tableinfo            
     "%att-align;
      %att-rowalign;
      %att-columnalign;
      %att-columnwidth;
      %att-groupalign;
      %att-alignmentscope;
      %att-rowspacing;
      %att-columnspacing;
      %att-rowlines;
      %att-columnlines;
      %att-frame;
      %att-framespacing;
      %att-equalrows;
      %att-equalcolumns;
      %att-displaystyle;" 
>

<!ENTITY % att-rowspan              
     "rowspan      CDATA                    #IMPLIED" >
<!ENTITY % att-columnspan           
     "columnspan   CDATA                    #IMPLIED" >
<!ENTITY % att-edge        
     "edge         ( left | right )         #IMPLIED" >
<!ENTITY % att-actiontype          
     "actiontype   CDATA                    #IMPLIED" >
<!ENTITY % att-selection       
     "selection    CDATA                    #IMPLIED" >

<!ENTITY % att-name                 
     "name         CDATA                    #IMPLIED" >
<!ENTITY % att-alt              
     "alt          CDATA                    #IMPLIED" >
<!ENTITY % att-index           
     "index        CDATA                    #IMPLIED" >

<!ENTITY % att-bevelled       
     "bevelled      CDATA                    #IMPLIED" >

<!-- Presentation schemata with content -->

<!ENTITY % ptoken                   
     "%mi.qname; | %mn.qname; | %mo.qname;
      | %mtext.qname; | %ms.qname;" >

<!ATTLIST %mi.qname;
      %MATHML.Common.attrib;
      %att-fontinfo;
>

<!ATTLIST %mn.qname;      
      %MATHML.Common.attrib; 
      %att-fontinfo;
>

<!ATTLIST %mo.qname;     
      %MATHML.Common.attrib; 
      %att-fontinfo;
      %att-opinfo;
>

<!ATTLIST %mtext.qname;  
      %MATHML.Common.attrib;
      %att-fontinfo;
>

<!ATTLIST %ms.qname;     
      %MATHML.Common.attrib;
      %att-fontinfo;
      %att-lquote;
      %att-rquote;
>

<!-- Empty presentation schemata -->

<!ENTITY % petoken                  
     "%mspace.qname;" >
<!ELEMENT %mspace.qname;  EMPTY >

<!ATTLIST %mspace.qname; 
      %att-sizeinfo;
      %att-linebreak;
      %MATHML.Common.attrib;
>

<!-- Presentation: general layout schemata -->

<!ENTITY % pgenschema               
     "%mrow.qname; | %mfrac.qname; | %msqrt.qname; | %mroot.qname; 
      | %menclose.qname; | %mstyle.qname; | %merror.qname; 
      | %mpadded.qname; | %mphantom.qname; | %mfenced.qname;" >

<!ATTLIST %mrow.qname;        
      %MATHML.Common.attrib;
>

<!ATTLIST %mfrac.qname;     
      %MATHML.Common.attrib;
      %att-bevelled;
      %att-linethickness;
>

<!ATTLIST %msqrt.qname;     
      %MATHML.Common.attrib;
>

<!ATTLIST %menclose.qname;  
      %MATHML.Common.attrib;
      notation CDATA 'longdiv' >

<!ATTLIST %mroot.qname;    
      %MATHML.Common.attrib;
>

<!ATTLIST %mstyle.qname;  
      %MATHML.Common.attrib;
      %att-fontinfo;
      %att-opinfo;
      %att-lquote;
      %att-rquote;
      %att-linethickness;
      %att-scriptlevel;
      %att-scriptsizemultiplier;
      %att-scriptminsize;
      %att-background;
      %att-veryverythinmathspace;
      %att-verythinmathspace;
      %att-thinmathspace;
      %att-mediummathspace;
      %att-thickmathspace;
      %att-verythickmathspace;
      %att-veryverythickmathspace;
      %att-open;
      %att-close;
      %att-separators;
      %att-subscriptshift;
      %att-superscriptshift;
      %att-accentunder;
      %att-tableinfo;
      %att-rowspan;
      %att-columnspan;
      %att-edge;
      %att-actiontype;
      %att-selection;
>

<!ATTLIST %merror.qname;   
      %MATHML.Common.attrib;
>

<!ATTLIST %mpadded.qname;     
      %MATHML.Common.attrib;
      %att-sizeinfo;
      %att-lspace;
>

<!ATTLIST %mphantom.qname;      
      %MATHML.Common.attrib;
>

<!ATTLIST %mfenced.qname;     
      %MATHML.Common.attrib;
      %att-open;
      %att-close;
      %att-separators;
>

<!-- Presentation layout schemata: scripts and limits -->

<!ENTITY % pscrschema               
     "%msub.qname; | %msup.qname; | %msubsup.qname; | %munder.qname; 
      | %mover.qname; | %munderover.qname; | %mmultiscripts.qname;" >

<!ATTLIST %msub.qname;      
      %MATHML.Common.attrib;
      %att-subscriptshift;
>

<!ATTLIST %msup.qname;         
      %MATHML.Common.attrib;
      %att-superscriptshift;
>

<!ATTLIST %msubsup.qname;    
      %MATHML.Common.attrib;
      %att-subscriptshift;
      %att-superscriptshift;
>

<!ATTLIST %munder.qname;   
      %MATHML.Common.attrib;
      %att-accentunder;
>

<!ATTLIST %mover.qname;   
      %MATHML.Common.attrib;
      %att-accent;
>

<!ATTLIST %munderover.qname;   
      %MATHML.Common.attrib;
      %att-accent;
      %att-accentunder;
>

<!ATTLIST %mmultiscripts.qname;   
      %MATHML.Common.attrib;
      %att-subscriptshift;
      %att-superscriptshift;
>

<!-- Presentation layout schemata: empty elements for scripts -->

<!ENTITY % pscreschema              
     "%mprescripts.qname; | %none.qname;" >

<!ELEMENT %mprescripts.qname;  EMPTY >
<!ATTLIST %mprescripts.qname;   
      %MATHML.xmlns.attrib; >

<!ELEMENT %none.qname;  EMPTY >
<!ATTLIST %none.qname;    
      %MATHML.xmlns.attrib; >

<!-- Presentation layout schemata: tables -->

<!ENTITY % ptabschema               
     "%mtable.qname; | %mtr.qname; | %mlabeledtr.qname; | %mtd.qname;" >

<!ATTLIST %mtable.qname;
      %MATHML.Common.attrib;
      %att-tableinfo;
>

<!ATTLIST %mtr.qname;    
      %MATHML.Common.attrib;
      %att-rowalign;
      %att-columnalign;
      %att-groupalign;
>

<!ATTLIST %mlabeledtr.qname;  
      %MATHML.Common.attrib;
      %att-rowalign;
      %att-columnalign;
      %att-groupalign;
>

<!ATTLIST %mtd.qname;   
      %MATHML.Common.attrib;
      %att-rowalign;
      %att-columnalign;
      %att-groupalign;
      %att-rowspan;
      %att-columnspan;
>

<!ENTITY % plschema                 
     "%pgenschema; | %pscrschema; | %ptabschema;" >

<!-- Empty presentation layout schemata -->

<!ENTITY % peschema                 
     "%maligngroup.qname; | %malignmark.qname;" >

<!ELEMENT %malignmark.qname;  EMPTY >

<!ATTLIST %malignmark.qname;  
      %att-edge; >

<!ELEMENT %maligngroup.qname;  EMPTY >
<!ATTLIST %maligngroup.qname;  
      %MATHML.Common.attrib;
      %att-groupalign;
>


<!ELEMENT %mglyph.qname;  EMPTY >
<!ATTLIST %mglyph.qname;    
      %att-alt;
      %att-fontfamily;
      %att-index; >

<!-- Presentation action schemata -->

<!ENTITY % pactions                 
     "%maction.qname;" >
<!ATTLIST %maction.qname;    
      %MATHML.Common.attrib;
      %att-actiontype;
      %att-selection;
>

<!-- The following entity for substitution into
     content constructs excludes elements that
     are not valid as expressions.
-->

<!ENTITY % PresInCont               
     "%ptoken; | %petoken; |
      %plschema; | %peschema; | %pactions;" >

<!-- Presentation entity: all presentation constructs -->

<!ENTITY % Presentation             
     "%ptoken; | %petoken; | %pscreschema; |
      %plschema; | %peschema; | %pactions;">

<!-- Content element set  ........................................ -->

<!-- Attribute definitions -->

<!ENTITY % att-base                 
     "base         CDATA                    '10'" >
<!ENTITY % att-closure              
     "closure      CDATA                    'closed'" >
<!ENTITY % att-definition           
     "definitionURL CDATA                   ''" >
<!ENTITY % att-encoding             
     "encoding     CDATA                    ''" >
<!ENTITY % att-nargs             
     "nargs        CDATA                    '1'" >
<!ENTITY % att-occurrence           
     "occurrence   CDATA                    'function-model'" >
<!ENTITY % att-order   
     "order        CDATA                    'numeric'" >
<!ENTITY % att-scope                
     "scope        CDATA                    'local'" >
<!ENTITY % att-type                 
     "type         CDATA                    #IMPLIED" >

<!-- Content elements: leaf nodes -->

<!ENTITY % ctoken               
     "%csymbol.qname; | %ci.qname; | %cn.qname;" >

<!ATTLIST %ci.qname;     
      %MATHML.Common.attrib;
      %att-type;
      %att-definition;
      %att-encoding;
>

<!ATTLIST %csymbol.qname;   
      %MATHML.Common.attrib;
      %att-encoding;
      %att-type;
      %att-definition;
>

<!ATTLIST %cn.qname;    
      %MATHML.Common.attrib;
      %att-type;
      %att-base;
      %att-definition;
      %att-encoding;
>

<!-- Content elements: specials -->

<!ENTITY % cspecial                 
     "%apply.qname; | %reln.qname; |
      %lambda.qname;" >

<!ATTLIST %apply.qname;   
      %MATHML.Common.attrib;
>

<!ATTLIST %reln.qname;   
      %MATHML.Common.attrib;
>

<!ATTLIST %lambda.qname;      
      %MATHML.Common.attrib;
>

<!-- Content elements: others -->

<!ENTITY % cother                   
     "%condition.qname; | %declare.qname; | %sep.qname;" >

<!ATTLIST %condition.qname;     
      %MATHML.Common.attrib;
>

<!ATTLIST %declare.qname;    
      %MATHML.Common.attrib;
      %att-type;
      %att-scope;
      %att-nargs;
      %att-occurrence;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %sep.qname;  EMPTY >
<!ATTLIST %sep.qname;         
      %MATHML.xmlns.attrib; >

<!-- Content elements: semantic mapping -->

<!ENTITY % csemantics               
     "%semantics.qname; | %annotation.qname; |
      %annotation-xml.qname;" >

<!ATTLIST %semantics.qname;  
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ATTLIST %annotation.qname;  
      %MATHML.Common.attrib;
      %att-encoding;
>

<!ATTLIST %annotation-xml.qname; 
      %MATHML.Common.attrib;
      %att-encoding;
>

<!-- Content elements: constructors -->

<!ENTITY % cconstructor             
     "%interval.qname; | %list.qname; | %matrix.qname; 
      | %matrixrow.qname; | %set.qname; | %vector.qname;
      | %piecewise.qname; " >

<!ATTLIST %interval.qname;   
      %MATHML.Common.attrib;
      %att-closure;
>

<!ATTLIST %set.qname;        
      %MATHML.Common.attrib;
      %att-type;
>

<!ATTLIST %list.qname;          
      %MATHML.Common.attrib;
      %att-order;
>

<!ATTLIST %vector.qname;    
      %MATHML.Common.attrib;
>

<!ATTLIST %matrix.qname;    
      %MATHML.Common.attrib;
>

<!ATTLIST %matrixrow.qname;     
      %MATHML.Common.attrib;
>

<!ATTLIST %piecewise.qname;   
      %MATHML.Common.attrib;
>

<!ATTLIST %piece.qname;   
      %MATHML.Common.attrib;
>

<!ATTLIST %otherwise.qname;   
      %MATHML.Common.attrib;
>


<!-- Content elements: symbols -->

<!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;" >

<!ELEMENT %integers.qname;  EMPTY >
<!ATTLIST %integers.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %reals.qname;  EMPTY >
<!ATTLIST %reals.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %rationals.qname;  EMPTY >
<!ATTLIST %rationals.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %naturalnumbers.qname;  EMPTY >
<!ATTLIST %naturalnumbers.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %complexes.qname;  EMPTY >
<!ATTLIST %complexes.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %primes.qname;  EMPTY >
<!ATTLIST %primes.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %exponentiale.qname;  EMPTY >
<!ATTLIST %exponentiale.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %imaginaryi.qname;  EMPTY >
<!ATTLIST %imaginaryi.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %notanumber.qname;  EMPTY >
<!ATTLIST %notanumber.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %true.qname;  EMPTY >
<!ATTLIST %true.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %false.qname;  EMPTY >
<!ATTLIST %false.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %emptyset.qname;  EMPTY >
<!ATTLIST %emptyset.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %pi.qname;  EMPTY >
<!ATTLIST %pi.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %eulergamma.qname;  EMPTY >
<!ATTLIST %eulergamma.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %infinity.qname;  EMPTY >
<!ATTLIST %infinity.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!-- Content elements: operators -->

<!ENTITY % cfuncop1ary              
     "%inverse.qname; | %ident.qname;|
      %domain.qname; |  %codomain.qname; | 
      %image.qname;  " >

<!ELEMENT %inverse.qname;  EMPTY >
<!ATTLIST %inverse.qname;    
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %domain.qname;  EMPTY >
<!ATTLIST %domain.qname;    
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %codomain.qname;  EMPTY >
<!ATTLIST %codomain.qname;    
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %image.qname;  EMPTY >
<!ATTLIST %image.qname;    
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>



<!ENTITY % cfuncopnary              
     "%fn.qname; | %compose.qname;" >

<!ATTLIST %fn.qname;     
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %ident.qname;  EMPTY >
<!ATTLIST %ident.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %compose.qname;  EMPTY >
<!ATTLIST %compose.qname;  
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % carithop1ary             
     "%abs.qname; | %conjugate.qname; | %exp.qname; | %factorial.qname; |
      %arg.qname; | %real.qname; | %imaginary.qname; |
      %floor.qname; | %ceiling.qname;" >

<!ELEMENT %exp.qname;  EMPTY >
<!ATTLIST %exp.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %abs.qname;  EMPTY >
<!ATTLIST %abs.qname;        
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %arg.qname;  EMPTY >
<!ATTLIST %arg.qname;     
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %real.qname;  EMPTY >
<!ATTLIST %real.qname;    
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %imaginary.qname;  EMPTY >
<!ATTLIST %imaginary.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %conjugate.qname;  EMPTY >
<!ATTLIST %conjugate.qname;  
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %factorial.qname;  EMPTY >
<!ATTLIST %factorial.qname;    
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>


<!ELEMENT %floor.qname;  EMPTY >
<!ATTLIST %floor.qname;     
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %ceiling.qname;  EMPTY >
<!ATTLIST %ceiling.qname;     
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>
<!ENTITY % carithop1or2ary          
     "%minus.qname;" >

<!ELEMENT %minus.qname;  EMPTY >
<!ATTLIST %minus.qname;     
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % carithop2ary             
     "%quotient.qname; | %divide.qname; | %power.qname; | %rem.qname;" >

<!ELEMENT %quotient.qname;  EMPTY >
<!ATTLIST %quotient.qname;       
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %divide.qname;  EMPTY >
<!ATTLIST %divide.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %power.qname;  EMPTY >
<!ATTLIST %power.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %rem.qname;  EMPTY >
<!ATTLIST %rem.qname;       
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % carithopnary             
     "%plus.qname; | %times.qname; | %max.qname; 
      | %min.qname; | %gcd.qname; | %lcm.qname;" >

<!ELEMENT %plus.qname;  EMPTY >
<!ATTLIST %plus.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %max.qname;  EMPTY >
<!ATTLIST %max.qname;    
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %min.qname;  EMPTY >
<!ATTLIST %min.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %times.qname;  EMPTY >
<!ATTLIST %times.qname;      
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %gcd.qname;  EMPTY >
<!ATTLIST %gcd.qname;    
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %lcm.qname;  EMPTY >
<!ATTLIST %lcm.qname;    
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % carithoproot             
     "%root.qname;" >

<!ELEMENT %root.qname;  EMPTY >
<!ATTLIST %root.qname;     
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % clogicopquant            
     "%exists.qname; | %forall.qname;" >

<!ELEMENT %exists.qname;  EMPTY >
<!ATTLIST %exists.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %forall.qname;  EMPTY >
<!ATTLIST %forall.qname;     
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % clogicopnary             
     "%and.qname; | %or.qname; | %xor.qname;" >

<!ELEMENT %and.qname;  EMPTY >
<!ATTLIST %and.qname;    
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %or.qname;  EMPTY >
<!ATTLIST %or.qname;    
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %xor.qname;  EMPTY >
<!ATTLIST %xor.qname;    
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % clogicop1ary             
     "%not.qname;" >

<!ELEMENT %not.qname;  EMPTY >
<!ATTLIST %not.qname;    
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % clogicop2ary             
     "%implies.qname;" >

<!ELEMENT %implies.qname;  EMPTY >
<!ATTLIST %implies.qname;    
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % ccalcop                  
     "%log.qname; | %int.qname; | %diff.qname; | %partialdiff.qname; |
      %divergence.qname; | %grad.qname; | %curl.qname; | %laplacian.qname;" >

<!ELEMENT %divergence.qname;  EMPTY >
<!ATTLIST %divergence.qname;     
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %grad.qname;  EMPTY >
<!ATTLIST %grad.qname;  
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %curl.qname;  EMPTY >
<!ATTLIST %curl.qname;     
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %laplacian.qname;  EMPTY >
<!ATTLIST %laplacian.qname;     
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %log.qname;  EMPTY >
<!ATTLIST %log.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %int.qname;  EMPTY >
<!ATTLIST %int.qname;    
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %diff.qname;  EMPTY >
<!ATTLIST %diff.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %partialdiff.qname;  EMPTY >
<!ATTLIST %partialdiff.qname;  
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % ccalcop1ary              
     "%ln.qname;" >

<!ELEMENT %ln.qname;  EMPTY >
<!ATTLIST %ln.qname;   
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % csetop1ary               
     "%card.qname;" >

<!ELEMENT %card.qname;  EMPTY >
<!ATTLIST %card.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % csetop2ary               
     "%setdiff.qname;" >

<!ELEMENT %setdiff.qname;  EMPTY >
<!ATTLIST %setdiff.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % csetopnary               
     "%union.qname; | %intersect.qname; | %cartesianproduct.qname; " >

<!ELEMENT %union.qname;  EMPTY >
<!ATTLIST %union.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %intersect.qname;  EMPTY >
<!ATTLIST %intersect.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %cartesianproduct.qname;  EMPTY >
<!ATTLIST %cartesianproduct.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % cseqop                   
     "%sum.qname; | %product.qname; | %limit.qname;" >

<!ELEMENT %sum.qname;  EMPTY >
<!ATTLIST %sum.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %product.qname;  EMPTY >
<!ATTLIST %product.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %limit.qname;  EMPTY >
<!ATTLIST %limit.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!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;
      " >

<!ELEMENT %sin.qname;  EMPTY >
<!ATTLIST %sin.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %cos.qname;  EMPTY >
<!ATTLIST %cos.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %tan.qname;  EMPTY >
<!ATTLIST %tan.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %sec.qname;  EMPTY >
<!ATTLIST %sec.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %csc.qname;  EMPTY >
<!ATTLIST %csc.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %cot.qname;  EMPTY >
<!ATTLIST %cot.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %sinh.qname;  EMPTY >
<!ATTLIST %sinh.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %cosh.qname;  EMPTY >
<!ATTLIST %cosh.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %tanh.qname;  EMPTY >
<!ATTLIST %tanh.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %sech.qname;  EMPTY >
<!ATTLIST %sech.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %csch.qname;  EMPTY >
<!ATTLIST %csch.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %coth.qname;  EMPTY >
<!ATTLIST %coth.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %arcsin.qname;  EMPTY >
<!ATTLIST %arcsin.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %arccos.qname;  EMPTY >
<!ATTLIST %arccos.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %arctan.qname;  EMPTY >
<!ATTLIST %arctan.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %arccosh.qname;  EMPTY >
<!ATTLIST %arccosh.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>


<!ELEMENT %arccot.qname;  EMPTY >
<!ATTLIST %arccot.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %arccoth.qname;  EMPTY >
<!ATTLIST %arccoth.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>


<!ELEMENT %arccsc.qname;  EMPTY >
<!ATTLIST %arccsc.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %arccsch.qname;  EMPTY >
<!ATTLIST %arccsch.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %arcsec.qname;  EMPTY >
<!ATTLIST %arcsec.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %arcsech.qname;  EMPTY >
<!ATTLIST %arcsech.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %arcsinh.qname;  EMPTY >
<!ATTLIST %arcsinh.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %arctanh.qname;  EMPTY >
<!ATTLIST %arctanh.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>



<!ENTITY % cstatopnary              
     "%mean.qname; | %sdev.qname; |
      %variance.qname; | %median.qname; |
      %mode.qname;" >

<!ELEMENT %mean.qname;  EMPTY >
<!ATTLIST %mean.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %sdev.qname;  EMPTY >
<!ATTLIST %sdev.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %variance.qname;  EMPTY >
<!ATTLIST %variance.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %median.qname;  EMPTY >
<!ATTLIST %median.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %mode.qname;  EMPTY >
<!ATTLIST %mode.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % cstatopmoment            
     "%moment.qname;" >

<!ELEMENT %moment.qname;  EMPTY >
<!ATTLIST %moment.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % clalgop1ary              
     "%determinant.qname; |
      %transpose.qname;" >

<!ELEMENT %determinant.qname;  EMPTY >
<!ATTLIST %determinant.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %transpose.qname;  EMPTY >
<!ATTLIST %transpose.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % clalgop2ary              
     "%vectorproduct.qname; 
      | %scalarproduct.qname; 
      | %outerproduct.qname;" >

<!ELEMENT %vectorproduct.qname;  EMPTY >
<!ATTLIST %vectorproduct.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %scalarproduct.qname;  EMPTY >
<!ATTLIST %scalarproduct.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %outerproduct.qname;  EMPTY >
<!ATTLIST %outerproduct.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % clalgopnary              
     "%selector.qname;" >

<!ELEMENT %selector.qname;  EMPTY >
<!ATTLIST %selector.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!-- Content elements: relations -->

<!ENTITY % cgenrel2ary             
     "%neq.qname; | %factorof.qname;" >

<!ELEMENT %neq.qname;  EMPTY >
<!ATTLIST %neq.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %factorof.qname;  EMPTY >
<!ATTLIST %factorof.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % cgenrelnary              
     "%eq.qname; | %leq.qname; | %lt.qname; | %geq.qname; 
      | %gt.qname;| %equivalent.qname; | %approx.qname;" >

<!ELEMENT %eq.qname;  EMPTY >
<!ATTLIST %eq.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %equivalent.qname;  EMPTY >
<!ATTLIST %equivalent.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %approx.qname;  EMPTY >
<!ATTLIST %approx.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %gt.qname;  EMPTY >
<!ATTLIST %gt.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %lt.qname;  EMPTY >
<!ATTLIST %lt.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %geq.qname;  EMPTY >
<!ATTLIST %geq.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %leq.qname;  EMPTY >
<!ATTLIST %leq.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % csetrel2ary              
     "%in.qname; | %notin.qname; | %notsubset.qname; | %notprsubset.qname;" >

<!ELEMENT %in.qname;  EMPTY >
<!ATTLIST %in.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %notin.qname;  EMPTY >
<!ATTLIST %notin.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %notsubset.qname;  EMPTY >
<!ATTLIST %notsubset.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %notprsubset.qname;  EMPTY >
<!ATTLIST %notprsubset.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % csetrelnary       
     "%subset.qname; | %prsubset.qname;" >

<!ELEMENT %subset.qname;  EMPTY >
<!ATTLIST %subset.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ELEMENT %prsubset.qname;  EMPTY >
<!ATTLIST %prsubset.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
>

<!ENTITY % cseqrel2ary              
     "%tendsto.qname;" >

<!ELEMENT %tendsto.qname;  EMPTY >
<!ATTLIST %tendsto.qname;
      %MATHML.Common.attrib;
      %att-definition;
      %att-encoding;
      %att-type;
>

<!-- Content elements: quantifiers -->

<!ENTITY % cquantifier            
     "%lowlimit.qname; | %uplimit.qname; | %bvar.qname; 
      | %degree.qname; | %logbase.qname;
      | %momentabout.qname; | %domainofapplication.qname; " >

<!ATTLIST %lowlimit.qname;
      %MATHML.Common.attrib;
>

<!ATTLIST %uplimit.qname;
      %MATHML.Common.attrib;
>

<!ATTLIST %bvar.qname;
      %MATHML.Common.attrib;
>

<!ATTLIST %degree.qname;
      %MATHML.Common.attrib;
>

<!ATTLIST %logbase.qname;
      %MATHML.Common.attrib;
>

<!ATTLIST %momentabout.qname;
      %MATHML.Common.attrib;
>

<!ATTLIST %domainofapplication.qname;
      %MATHML.Common.attrib;
>

<!-- Operator groups -->

<!ENTITY % cop1ary                  
     "%cfuncop1ary; | %carithop1ary; | %clogicop1ary; |
      %ccalcop1ary; | %ctrigop; | %clalgop1ary; |
      %csetop1ary;" >

<!ENTITY % cop2ary                  
     "%carithop2ary; | %clogicop2ary;| %clalgop2ary; | %csetop2ary;" >

<!ENTITY % copnary                  
     "%cfuncopnary; | %carithopnary; | %clogicopnary; |
      %csetopnary; | %cstatopnary; | %clalgopnary;" >

<!ENTITY % copmisc                  
     "%carithoproot; | %carithop1or2ary; | %ccalcop; |
      %cseqop; | %cstatopmoment; | %clogicopquant;" >

<!-- Relation groups -->

<!ENTITY % crel2ary                 
     "%cgenrel2ary; | %csetrel2ary; | %cseqrel2ary;" >

<!ENTITY % crelnary                 
     "%cgenrelnary; | %csetrelnary;" >

<!-- Content constructs: all -->

<!ENTITY % Content                  
     "%ctoken; | %cspecial; | %cother; | %csemantics; | %c0ary;
      | %cconstructor; | %cquantifier; | %cop1ary; | %cop2ary; 
      | %copnary; |%copmisc; | %crel2ary; | %crelnary;" >

<!-- Content constructs for substitution in presentation structures -->

<!ENTITY % ContInPres               
     "%ci.qname; |%csymbol.qname;| %cn.qname; | %c0ary; |
      %apply.qname; | %fn.qname; |
      %lambda.qname; | %reln.qname; |
      %cconstructor; |
      %semantics.qname; |%declare.qname;" >

<!-- ............................................................. -->
<!-- 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)
-->

<!ENTITY % ContentExpression        
     "(%Content; | %PresInCont;)*" >
<!ENTITY % PresExpression      
     "(%Presentation; | %ContInPres;)*" >
<!ENTITY % MathExpression           
     "(%PresInCont; | %ContInPres;)*" >

<!-- PCDATA or MathML character elements -->
<!ENTITY % MathMLCharacters         
     "#PCDATA | %mglyph.qname; " >

<!-- Content elements: tokens                       -->
<!-- (may contain embedded presentation constructs) -->

<!ELEMENT %ci.qname;                 (%MathMLCharacters; | %PresInCont;)* >
<!ELEMENT %csymbol.qname;            (%MathMLCharacters; | %PresInCont;)* >
<!ELEMENT %cn.qname;                 (%MathMLCharacters; | %sep.qname; | %PresInCont;)* >

<!-- Content elements: special -->

<!ELEMENT %apply.qname;              (%ContentExpression;) >
<!ELEMENT %reln.qname;               (%ContentExpression;) >
<!ELEMENT %lambda.qname;             (%ContentExpression;) >

<!-- Content elements: other -->

<!ELEMENT %condition.qname;          (%ContentExpression;) >
<!ELEMENT %declare.qname;            (%ContentExpression;) >

<!-- Content elements: semantics -->

<!ELEMENT %semantics.qname;          (%ContentExpression;) >
<!ENTITY % Annotation.content  "( #PCDATA )" >
<!ELEMENT %annotation.qname;         %Annotation.content; >

<!ENTITY % Annotation-xml.content "ANY" >
<!ELEMENT %annotation-xml.qname;     %Annotation-xml.content; >

<!-- Content elements: constructors -->

<!ELEMENT %interval.qname;           (%ContentExpression;) >
<!ELEMENT %set.qname;                (%ContentExpression;) >
<!ELEMENT %list.qname;               (%ContentExpression;) >
<!ELEMENT %vector.qname;             (%ContentExpression;) >
<!ELEMENT %matrix.qname;             (%ContentExpression;) >
<!ELEMENT %matrixrow.qname;          (%ContentExpression;) >

<!ELEMENT %piecewise.qname;          ((%piece.qname;)*, (%otherwise.qname;)? ) >
<!ELEMENT %piece.qname;              (%ContentExpression;) >
<!ELEMENT %otherwise.qname;          (%ContentExpression;) >

<!-- Content elements: operator (user-defined) -->

<!ELEMENT %fn.qname;                 (%ContentExpression;) >

<!-- Content elements: quantifiers -->

<!ELEMENT %lowlimit.qname;           (%ContentExpression;) >
<!ELEMENT %uplimit.qname;            (%ContentExpression;) >
<!ELEMENT %bvar.qname;               (%ContentExpression;) >
<!ELEMENT %degree.qname;             (%ContentExpression;) >
<!ELEMENT %logbase.qname;            (%ContentExpression;) >
<!ELEMENT %momentabout.qname;        (%ContentExpression;) >
<!ELEMENT %domainofapplication.qname; (%ContentExpression;) >

<!-- ............................................................. -->
<!-- Presentation layout schemata contain tokens,
     layout and content schemata.
-->

<!ELEMENT %mstyle.qname;             (%PresExpression;) >
<!ELEMENT %merror.qname;             (%PresExpression;) >
<!ELEMENT %mphantom.qname;           (%PresExpression;) >
<!ELEMENT %mrow.qname;               (%PresExpression;) >
<!ELEMENT %mfrac.qname;              (%PresExpression;) >
<!ELEMENT %msqrt.qname;              (%PresExpression;) >
<!ELEMENT %menclose.qname;           (%PresExpression;) >
<!ELEMENT %mroot.qname;              (%PresExpression;) >
<!ELEMENT %msub.qname;               (%PresExpression;) >
<!ELEMENT %msup.qname;               (%PresExpression;) >
<!ELEMENT %msubsup.qname;            (%PresExpression;) >
<!ELEMENT %mmultiscripts.qname;      (%PresExpression;) >
<!ELEMENT %munder.qname;             (%PresExpression;) >
<!ELEMENT %mover.qname;              (%PresExpression;) >
<!ELEMENT %munderover.qname;         (%PresExpression;) >
<!ELEMENT %mtable.qname;             (%PresExpression;) >
<!ELEMENT %mtr.qname;                (%PresExpression;) >
<!ELEMENT %mlabeledtr.qname;         (%PresExpression;) >
<!ELEMENT %mtd.qname;                (%PresExpression;) >
<!ELEMENT %maction.qname;            (%PresExpression;) >
<!ELEMENT %mfenced.qname;            (%PresExpression;) >
<!ELEMENT %mpadded.qname;            (%PresExpression;) >

<!-- Presentation elements contain PCDATA or malignmark constructs. -->

<!ELEMENT %mi.qname;                 (%MathMLCharacters; |
      %malignmark.qname;)* >
<!ELEMENT %mn.qname;                 (%MathMLCharacters; |
      %malignmark.qname;)* >
<!ELEMENT %mo.qname;                 (%MathMLCharacters; |
      %malignmark.qname;)* >
<!ELEMENT %mtext.qname;              (%MathMLCharacters; |
      %malignmark.qname;)* >
<!ELEMENT %ms.qname;                 (%MathMLCharacters; |
      %malignmark.qname;)* >

<!-- Browser interface definition  ............................... -->

<!-- Attributes for top-level element "math" -->

<!ENTITY % att-macros               
     "macros       CDATA                    #IMPLIED" >
<!ENTITY % att-mode                 
     "mode         CDATA                    #IMPLIED" >
<!ENTITY % att-display                
     "display      CDATA                    #IMPLIED" >

<!ENTITY % att-topinfo          
     "%MATHML.Common.attrib;
      %att-macros;
      %att-mode;
      %att-display;" >

<!-- Attributes for browser interface element -->

<!ENTITY % att-baseline             
     "baseline     CDATA                    #IMPLIED" >
<!ENTITY % att-overflow            
     "overflow  ( scroll | elide | truncate | scale ) 'scroll'" >
<!ENTITY % att-altimg               
     "altimg       CDATA                    #IMPLIED" >
<!ENTITY % att-alttext           
     "alttext      CDATA                    #IMPLIED" >

<!ENTITY % att-browif           
     "%att-type;
      %att-name;
      %att-height;
      %att-width;
      %att-baseline;
      %att-overflow;
      %att-altimg;
      %att-alttext;" >

<!-- ............................................................. -->
<!-- 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.
-->

<!ELEMENT %math.qname;               (%MathExpression;) >

<!ATTLIST %math.qname;
      %att-topinfo;
      %att-browif; >

<!-- MathML Character Entities .............................................. -->
<!ENTITY % mathml-charent.module "INCLUDE" >
<![%mathml-charent.module;[

<!-- New characters defined by MathML ............................ -->

<!ENTITY % ent-mmlextra
      PUBLIC "-//W3C//ENTITIES Extra for MathML 2.0//EN"
             "mmlextra.ent" >
%ent-mmlextra;

<!-- MathML aliases for characters defined above ................. -->

<!ENTITY % ent-mmlalias
      PUBLIC "-//W3C//ENTITIES Aiases for MathML 2.0//EN"
             "mmlalias.ent" >
%ent-mmlalias;

<!-- end of MathML Character Entity section -->]]>

<!-- 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
       Further revisions for MathML2 CR draft 2000-10-31
          David Carlisle

-->

<!-- end of MathML 2.0 DTD  ................................................ -->
<!-- ....................................................................... -->