Mathematical Markup Language (MathML) Version 2.0
8 Document Object Model for MathML
A Parsing MathML
A.1 The MathML DTD
B Content Markup Validation Grammar
MathML documents should be validated using the XML DTD below. Note
in particular that the standard XML attribute xml:space is not
used, so whitespace characters in element content (that is, outside the
presentation token elements
mi,
mo,
mn,
mtext,
mspace,
mtext,
ms,
the content token elements
ci,
cn and
annotation)
are not significant.
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 these whitespace characters as not significant.
An SGML parser (such as nsgmls) can be used to
validate MathML. In this case an SGML declaration defining the
constraints of XML applicable to an SGML parser must be used.
See the
note on SGML and XML.
Here we give the main body of the DTD. The full DTD is available as a zip archive.
The entity declarations for characters are referenced at the end of the DTD. These are linked to the character tables for each entity set.
A list of the combined MathML set of character names, ordered by name or by Unicode value are also available.
<!-- ************************************************************************ -->
<!-- Content model definition for content, presentation -->
<!-- and browser interface elements of MathML -->
<!-- -->
<!-- $Id: appendixa.html,v 1.1 2000/02/10 17:46:32 hugo Exp $ -->
<!-- -->
<!-- Initial draft (syntax = XML) 1997-05-09 -->
<!-- Stephen Buswell -->
<!-- Revised 1997-05-14 by Robert Miner -->
<!-- Robert Miner -->
<!-- Revised 1997-06-29 and 1997-07-02 -->
<!-- Stephen Buswell -->
<!-- Revised 1997-12-15d -->
<!-- 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 -->
<!-- -->
<!-- Became W3C Recommendation 7 April 1998 -->
<!-- ************************************************************************ -->
<!-- ************************************************************************ -->
<!-- Support for variable namespace prefix -->
<!-- ************************************************************************ -->
<!ENTITY % mathml-colon ''>
<!ENTITY % mathml-prefix ''>
<!ENTITY % mathml-xlink 'xlink'>
<!ENTITY % mathml-mspace '%mathml-prefix;%mathml-colon;mspace' >
<!ENTITY % mathml-mprescripts '%mathml-prefix;%mathml-colon;mprescripts' >
<!ENTITY % mathml-none '%mathml-prefix;%mathml-colon;none' >
<!ENTITY % mathml-malignmark '%mathml-prefix;%mathml-colon;malignmark' >
<!ENTITY % mathml-maligngroup '%mathml-prefix;%mathml-colon;maligngroup' >
<!ENTITY % mathml-mchar '%mathml-prefix;%mathml-colon;mchar' >
<!ENTITY % mathml-mglyph '%mathml-prefix;%mathml-colon;mglyph' >
<!ENTITY % mathml-sep '%mathml-prefix;%mathml-colon;sep' >
<!ENTITY % mathml-inverse '%mathml-prefix;%mathml-colon;inverse' >
<!ENTITY % mathml-ident '%mathml-prefix;%mathml-colon;ident' >
<!ENTITY % mathml-compose '%mathml-prefix;%mathml-colon;compose' >
<!ENTITY % mathml-exp '%mathml-prefix;%mathml-colon;exp' >
<!ENTITY % mathml-abs '%mathml-prefix;%mathml-colon;abs' >
<!ENTITY % mathml-arg '%mathml-prefix;%mathml-colon;arg' >
<!ENTITY % mathml-real '%mathml-prefix;%mathml-colon;real' >
<!ENTITY % mathml-imaginary '%mathml-prefix;%mathml-colon;imaginary' >
<!ENTITY % mathml-conjugate '%mathml-prefix;%mathml-colon;conjugate' >
<!ENTITY % mathml-factorial '%mathml-prefix;%mathml-colon;factorial' >
<!ENTITY % mathml-minus '%mathml-prefix;%mathml-colon;minus' >
<!ENTITY % mathml-quotient '%mathml-prefix;%mathml-colon;quotient' >
<!ENTITY % mathml-divide '%mathml-prefix;%mathml-colon;divide' >
<!ENTITY % mathml-power '%mathml-prefix;%mathml-colon;power' >
<!ENTITY % mathml-rem '%mathml-prefix;%mathml-colon;rem' >
<!ENTITY % mathml-plus '%mathml-prefix;%mathml-colon;plus' >
<!ENTITY % mathml-max '%mathml-prefix;%mathml-colon;max' >
<!ENTITY % mathml-min '%mathml-prefix;%mathml-colon;min' >
<!ENTITY % mathml-times '%mathml-prefix;%mathml-colon;times' >
<!ENTITY % mathml-gcd '%mathml-prefix;%mathml-colon;gcd' >
<!ENTITY % mathml-root '%mathml-prefix;%mathml-colon;root' >
<!ENTITY % mathml-exists '%mathml-prefix;%mathml-colon;exists' >
<!ENTITY % mathml-forall '%mathml-prefix;%mathml-colon;forall' >
<!ENTITY % mathml-and '%mathml-prefix;%mathml-colon;and' >
<!ENTITY % mathml-or '%mathml-prefix;%mathml-colon;or' >
<!ENTITY % mathml-xor '%mathml-prefix;%mathml-colon;xor' >
<!ENTITY % mathml-not '%mathml-prefix;%mathml-colon;not' >
<!ENTITY % mathml-implies '%mathml-prefix;%mathml-colon;implies' >
<!ENTITY % mathml-divergence '%mathml-prefix;%mathml-colon;divergence' >
<!ENTITY % mathml-grad '%mathml-prefix;%mathml-colon;grad' >
<!ENTITY % mathml-curl '%mathml-prefix;%mathml-colon;curl' >
<!ENTITY % mathml-laplacian '%mathml-prefix;%mathml-colon;laplacian' >
<!ENTITY % mathml-log '%mathml-prefix;%mathml-colon;log' >
<!ENTITY % mathml-int '%mathml-prefix;%mathml-colon;int' >
<!ENTITY % mathml-diff '%mathml-prefix;%mathml-colon;diff' >
<!ENTITY % mathml-partialdiff '%mathml-prefix;%mathml-colon;partialdiff' >
<!ENTITY % mathml-ln '%mathml-prefix;%mathml-colon;ln' >
<!ENTITY % mathml-card '%mathml-prefix;%mathml-colon;card' >
<!ENTITY % mathml-setdiff '%mathml-prefix;%mathml-colon;setdiff' >
<!ENTITY % mathml-union '%mathml-prefix;%mathml-colon;union' >
<!ENTITY % mathml-intersect '%mathml-prefix;%mathml-colon;intersect' >
<!ENTITY % mathml-sum '%mathml-prefix;%mathml-colon;sum' >
<!ENTITY % mathml-product '%mathml-prefix;%mathml-colon;product' >
<!ENTITY % mathml-limit '%mathml-prefix;%mathml-colon;limit' >
<!ENTITY % mathml-sin '%mathml-prefix;%mathml-colon;sin' >
<!ENTITY % mathml-cos '%mathml-prefix;%mathml-colon;cos' >
<!ENTITY % mathml-tan '%mathml-prefix;%mathml-colon;tan' >
<!ENTITY % mathml-sec '%mathml-prefix;%mathml-colon;sec' >
<!ENTITY % mathml-csc '%mathml-prefix;%mathml-colon;csc' >
<!ENTITY % mathml-cot '%mathml-prefix;%mathml-colon;cot' >
<!ENTITY % mathml-sinh '%mathml-prefix;%mathml-colon;sinh' >
<!ENTITY % mathml-cosh '%mathml-prefix;%mathml-colon;cosh' >
<!ENTITY % mathml-tanh '%mathml-prefix;%mathml-colon;tanh' >
<!ENTITY % mathml-sech '%mathml-prefix;%mathml-colon;sech' >
<!ENTITY % mathml-csch '%mathml-prefix;%mathml-colon;csch' >
<!ENTITY % mathml-coth '%mathml-prefix;%mathml-colon;coth' >
<!ENTITY % mathml-arcsin '%mathml-prefix;%mathml-colon;arcsin' >
<!ENTITY % mathml-arccos '%mathml-prefix;%mathml-colon;arccos' >
<!ENTITY % mathml-arctan '%mathml-prefix;%mathml-colon;arctan' >
<!ENTITY % mathml-mean '%mathml-prefix;%mathml-colon;mean' >
<!ENTITY % mathml-sdev '%mathml-prefix;%mathml-colon;sdev' >
<!ENTITY % mathml-variance '%mathml-prefix;%mathml-colon;variance' >
<!ENTITY % mathml-median '%mathml-prefix;%mathml-colon;median' >
<!ENTITY % mathml-mode '%mathml-prefix;%mathml-colon;mode' >
<!ENTITY % mathml-moment '%mathml-prefix;%mathml-colon;moment' >
<!ENTITY % mathml-determinant '%mathml-prefix;%mathml-colon;determinant' >
<!ENTITY % mathml-transpose '%mathml-prefix;%mathml-colon;transpose' >
<!ENTITY % mathml-vectorproduct '%mathml-prefix;%mathml-colon;vectorproduct' >
<!ENTITY % mathml-scalarproduct '%mathml-prefix;%mathml-colon;scalarproduct' >
<!ENTITY % mathml-outerproduct '%mathml-prefix;%mathml-colon;outerproduct' >
<!ENTITY % mathml-selector '%mathml-prefix;%mathml-colon;selector' >
<!ENTITY % mathml-neq '%mathml-prefix;%mathml-colon;neq' >
<!ENTITY % mathml-eq '%mathml-prefix;%mathml-colon;eq' >
<!ENTITY % mathml-equivalent '%mathml-prefix;%mathml-colon;equivalent' >
<!ENTITY % mathml-approx '%mathml-prefix;%mathml-colon;approx' >
<!ENTITY % mathml-gt '%mathml-prefix;%mathml-colon;gt' >
<!ENTITY % mathml-lt '%mathml-prefix;%mathml-colon;lt' >
<!ENTITY % mathml-geq '%mathml-prefix;%mathml-colon;geq' >
<!ENTITY % mathml-leq '%mathml-prefix;%mathml-colon;leq' >
<!ENTITY % mathml-in '%mathml-prefix;%mathml-colon;in' >
<!ENTITY % mathml-notin '%mathml-prefix;%mathml-colon;notin' >
<!ENTITY % mathml-notsubset '%mathml-prefix;%mathml-colon;notsubset' >
<!ENTITY % mathml-notprsubset '%mathml-prefix;%mathml-colon;notprsubset' >
<!ENTITY % mathml-subset '%mathml-prefix;%mathml-colon;subset' >
<!ENTITY % mathml-prsubset '%mathml-prefix;%mathml-colon;prsubset' >
<!ENTITY % mathml-tendsto '%mathml-prefix;%mathml-colon;tendsto' >
<!ENTITY % mathml-ci '%mathml-prefix;%mathml-colon;ci' >
<!ENTITY % mathml-csymbol '%mathml-prefix;%mathml-colon;csymbol' >
<!ENTITY % mathml-cn '%mathml-prefix;%mathml-colon;cn' >
<!ENTITY % mathml-apply '%mathml-prefix;%mathml-colon;apply' >
<!ENTITY % mathml-reln '%mathml-prefix;%mathml-colon;reln' >
<!ENTITY % mathml-lambda '%mathml-prefix;%mathml-colon;lambda' >
<!ENTITY % mathml-condition '%mathml-prefix;%mathml-colon;condition' >
<!ENTITY % mathml-declare '%mathml-prefix;%mathml-colon;declare' >
<!ENTITY % mathml-semantics '%mathml-prefix;%mathml-colon;semantics' >
<!ENTITY % mathml-annotation '%mathml-prefix;%mathml-colon;annotation' >
<!ENTITY % mathml-annotation-xml '%mathml-prefix;%mathml-colon;annotation-xml' >
<!ENTITY % mathml-interval '%mathml-prefix;%mathml-colon;interval' >
<!ENTITY % mathml-set '%mathml-prefix;%mathml-colon;set' >
<!ENTITY % mathml-list '%mathml-prefix;%mathml-colon;list' >
<!ENTITY % mathml-vector '%mathml-prefix;%mathml-colon;vector' >
<!ENTITY % mathml-matrix '%mathml-prefix;%mathml-colon;matrix' >
<!ENTITY % mathml-matrixrow '%mathml-prefix;%mathml-colon;matrixrow' >
<!ENTITY % mathml-fn '%mathml-prefix;%mathml-colon;fn' >
<!ENTITY % mathml-lowlimit '%mathml-prefix;%mathml-colon;lowlimit' >
<!ENTITY % mathml-uplimit '%mathml-prefix;%mathml-colon;uplimit' >
<!ENTITY % mathml-bvar '%mathml-prefix;%mathml-colon;bvar' >
<!ENTITY % mathml-degree '%mathml-prefix;%mathml-colon;degree' >
<!ENTITY % mathml-logbase '%mathml-prefix;%mathml-colon;logbase' >
<!ENTITY % mathml-mstyle '%mathml-prefix;%mathml-colon;mstyle' >
<!ENTITY % mathml-merror '%mathml-prefix;%mathml-colon;merror' >
<!ENTITY % mathml-mphantom '%mathml-prefix;%mathml-colon;mphantom' >
<!ENTITY % mathml-mrow '%mathml-prefix;%mathml-colon;mrow' >
<!ENTITY % mathml-mfrac '%mathml-prefix;%mathml-colon;mfrac' >
<!ENTITY % mathml-msqrt '%mathml-prefix;%mathml-colon;msqrt' >
<!ENTITY % mathml-menclose '%mathml-prefix;%mathml-colon;menclose' >
<!ENTITY % mathml-mroot '%mathml-prefix;%mathml-colon;mroot' >
<!ENTITY % mathml-msub '%mathml-prefix;%mathml-colon;msub' >
<!ENTITY % mathml-msup '%mathml-prefix;%mathml-colon;msup' >
<!ENTITY % mathml-msubsup '%mathml-prefix;%mathml-colon;msubsup' >
<!ENTITY % mathml-mmultiscripts '%mathml-prefix;%mathml-colon;mmultiscripts' >
<!ENTITY % mathml-munder '%mathml-prefix;%mathml-colon;munder' >
<!ENTITY % mathml-mover '%mathml-prefix;%mathml-colon;mover' >
<!ENTITY % mathml-munderover '%mathml-prefix;%mathml-colon;munderover' >
<!ENTITY % mathml-mtable '%mathml-prefix;%mathml-colon;mtable' >
<!ENTITY % mathml-mtr '%mathml-prefix;%mathml-colon;mtr' >
<!ENTITY % mathml-mlabeledtr '%mathml-prefix;%mathml-colon;mlabeledtr' >
<!ENTITY % mathml-mtd '%mathml-prefix;%mathml-colon;mtd' >
<!ENTITY % mathml-maction '%mathml-prefix;%mathml-colon;maction' >
<!ENTITY % mathml-mfenced '%mathml-prefix;%mathml-colon;mfenced' >
<!ENTITY % mathml-mpadded '%mathml-prefix;%mathml-colon;mpadded' >
<!ENTITY % mathml-mi '%mathml-prefix;%mathml-colon;mi' >
<!ENTITY % mathml-mn '%mathml-prefix;%mathml-colon;mn' >
<!ENTITY % mathml-mo '%mathml-prefix;%mathml-colon;mo' >
<!ENTITY % mathml-mtext '%mathml-prefix;%mathml-colon;mtext' >
<!ENTITY % mathml-ms '%mathml-prefix;%mathml-colon;ms' >
<!ENTITY % mathml-math '%mathml-prefix;%mathml-colon;math' >
<!-- ************************************************************************ -->
<!-- Attributes shared by all elements -->
<!-- ************************************************************************ -->
<!ENTITY % att-xmlns
'xmlns%mathml-colon;%mathml-prefix;
CDATA #FIXED
"http://www.w3.org/1998/Math/MathML"' >
<!ENTITY % att-global
'%att-xmlns;
xmlns:%mathml-xlink; CDATA #IMPLIED
%mathml-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' >
<!ENTITY % att-fontinfo '%att-fontsize;
%att-fontweight;
%att-fontstyle;
%att-fontfamily;
%att-color;' >
<!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-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-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' >
<!-- Presentation schemata with content -->
<!ENTITY % ptoken '%mathml-mi; | %mathml-mn; | %mathml-mo; |
%mathml-mtext; | %mathml-ms;' >
<!ATTLIST %mathml-mi; %att-fontinfo;
%att-global; >
<!ATTLIST %mathml-mn; %att-fontinfo;
%att-global; >
<!ATTLIST %mathml-mo; %att-fontinfo;
%att-opinfo;
%att-global; >
<!ATTLIST %mathml-mtext; %att-fontinfo;
%att-global; >
<!ATTLIST %mathml-ms; %att-fontinfo;
%att-lquote;
%att-rquote;
%att-global; >
<!-- Empty presentation schemata -->
<!ENTITY % petoken '%mathml-mspace;' >
<!ELEMENT %mathml-mspace; EMPTY >
<!ATTLIST %mathml-mspace; %att-sizeinfo;
%att-global; >
<!-- Presentation: general layout schemata -->
<!ENTITY % pgenschema '%mathml-mrow;|%mathml-mfrac;|%mathml-msqrt;|
%mathml-mroot;|%mathml-menclose;|
%mathml-mstyle;|%mathml-merror;|%mathml-mpadded;|
%mathml-mphantom;|%mathml-mfenced;' >
<!ATTLIST %mathml-mrow; %att-global; >
<!ATTLIST %mathml-mfrac; %att-linethickness;
%att-global; >
<!ATTLIST %mathml-msqrt; %att-global; >
<!ATTLIST %mathml-menclose; %att-global;
notation CDATA "longdiv" >
<!ATTLIST %mathml-mroot; %att-global; >
<!ATTLIST %mathml-mstyle; %att-fontinfo;
%att-opinfo;
%att-lquote;
%att-rquote;
%att-linethickness;
%att-scriptlevel;
%att-scriptsizemultiplier;
%att-scriptminsize;
%att-background;
%att-open;
%att-close;
%att-separators;
%att-subscriptshift;
%att-superscriptshift;
%att-accentunder;
%att-tableinfo;
%att-rowspan;
%att-columnspan;
%att-edge;
%att-actiontype;
%att-selection;
%att-global; >
<!ATTLIST %mathml-merror; %att-global; >
<!ATTLIST %mathml-mpadded; %att-sizeinfo;
%att-lspace;
%att-global; >
<!ATTLIST %mathml-mphantom; %att-global; >
<!ATTLIST %mathml-mfenced; %att-open;
%att-close;
%att-separators;
%att-global; >
<!-- Presentation layout schemata: scripts and limits -->
<!ENTITY % pscrschema '%mathml-msub;|%mathml-msup;|%mathml-msubsup;|
%mathml-munder;|%mathml-mover;|
%mathml-munderover;|%mathml-mmultiscripts;' >
<!ATTLIST %mathml-msub; %att-subscriptshift;
%att-global; >
<!ATTLIST %mathml-msup; %att-superscriptshift;
%att-global; >
<!ATTLIST %mathml-msubsup; %att-subscriptshift;
%att-superscriptshift;
%att-global; >
<!ATTLIST %mathml-munder; %att-accentunder;
%att-global; >
<!ATTLIST %mathml-mover; %att-accent;
%att-global; >
<!ATTLIST %mathml-munderover; %att-accent;
%att-accentunder;
%att-global; >
<!ATTLIST %mathml-mmultiscripts; %att-subscriptshift;
%att-superscriptshift;
%att-global; >
<!-- Presentation layout schemata: empty elements for scripts -->
<!ENTITY % pscreschema '%mathml-mprescripts;|
%mathml-none;' >
<!ELEMENT %mathml-mprescripts; EMPTY >
<!ATTLIST %mathml-mprescripts; %att-xmlns; >
<!ELEMENT %mathml-none; EMPTY >
<!ATTLIST %mathml-none; %att-xmlns; >
<!-- Presentation layout schemata: tables -->
<!ENTITY % ptabschema '%mathml-mtable;|%mathml-mtr;|
%mathml-mlabeledtr;|%mathml-mtd;' >
<!ATTLIST %mathml-mtable; %att-tableinfo;
%att-global; >
<!ATTLIST %mathml-mtr; %att-rowalign;
%att-columnalign;
%att-groupalign;
%att-global; >
<!ATTLIST %mathml-mlabeledtr; %att-rowalign;
%att-columnalign;
%att-groupalign;
%att-global; >
<!ATTLIST %mathml-mtd; %att-rowalign;
%att-columnalign;
%att-groupalign;
%att-rowspan;
%att-columnspan;
%att-global; >
<!ENTITY % plschema '%pgenschema;|%pscrschema;|%ptabschema;' >
<!-- Empty presentation layout schemata -->
<!ENTITY % peschema '%mathml-maligngroup; |
%mathml-malignmark;' >
<!ELEMENT %mathml-malignmark; EMPTY >
<!ATTLIST %mathml-malignmark; %att-edge; >
<!ELEMENT %mathml-maligngroup; EMPTY >
<!ATTLIST %mathml-maligngroup; %att-groupalign;
%att-global; >
<!ELEMENT %mathml-mchar; EMPTY >
<!ATTLIST %mathml-mchar; %att-name; >
<!ELEMENT %mathml-mglyph; EMPTY >
<!ATTLIST %mathml-mglyph; %att-alt;
%att-fontfamily;
%att-index; >
<!-- Presentation action schemata -->
<!ENTITY % pactions '%mathml-maction;' >
<!ATTLIST %mathml-maction; %att-actiontype;
%att-selection;
%att-global; >
<!-- 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 '%mathml-csymbol;|%mathml-ci; | %mathml-cn;' >
<!ATTLIST %mathml-ci; %att-type;
%att-definition;
%att-global; >
<!ATTLIST %mathml-csymbol; %att-encoding;
%att-type;
%att-definition;
%att-global; >
<!ATTLIST %mathml-cn; %att-type;
%att-base;
%att-definition;
%att-global; >
<!-- Content elements: specials -->
<!ENTITY % cspecial '%mathml-apply; | %mathml-reln; |
%mathml-lambda;' >
<!ATTLIST %mathml-apply; %att-global; >
<!ATTLIST %mathml-reln; %att-global; >
<!ATTLIST %mathml-lambda; %att-global; >
<!-- Content elements: others -->
<!ENTITY % cother '%mathml-condition; | %mathml-declare; |
%mathml-sep;' >
<!ATTLIST %mathml-condition; %att-global; >
<!ATTLIST %mathml-declare; %att-type;
%att-scope;
%att-nargs;
%att-occurrence;
%att-definition;
%att-encoding;
%att-global; >
<!ELEMENT %mathml-sep; EMPTY >
<!ATTLIST %mathml-sep; %att-xmlns; >
<!-- Content elements: semantic mapping -->
<!ENTITY % csemantics '%mathml-semantics; | %mathml-annotation; |
%mathml-annotation;-xml' >
<!ATTLIST %mathml-semantics; %att-definition;
%att-encoding;
%att-global; >
<!ATTLIST %mathml-annotation; %att-encoding;
%att-global; >
<!ATTLIST %mathml-annotation-xml; %att-encoding;
%att-global; >
<!-- Content elements: constructors -->
<!ENTITY % cconstructor '%mathml-interval; | %mathml-list; |
%mathml-matrix; | %mathml-matrixrow; |
%mathml-set; | %mathml-vector;' >
<!ATTLIST %mathml-interval; %att-closure;
%att-global; >
<!ATTLIST %mathml-set; %att-type;
%att-global; >
<!ATTLIST %mathml-list; %att-order;
%att-global; >
<!ATTLIST %mathml-vector; %att-global; >
<!ATTLIST %mathml-matrix; %att-global; >
<!ATTLIST %mathml-matrixrow; %att-global; >
<!-- Content elements: operators -->
<!ENTITY % cfuncop1ary '%mathml-inverse; | %mathml-ident;' >
<!ELEMENT %mathml-inverse; EMPTY >
<!ATTLIST %mathml-inverse; %att-definition;
%att-global; >
<!ENTITY % cfuncopnary '%mathml-fn; | %mathml-compose;' >
<!ATTLIST %mathml-fn; %att-definition;
%att-global; >
<!ELEMENT %mathml-ident; EMPTY >
<!ATTLIST %mathml-ident; %att-definition;
%att-global; >
<!ELEMENT %mathml-compose; EMPTY >
<!ATTLIST %mathml-compose; %att-definition;
%att-global; >
<!ENTITY % carithop1ary '%mathml-abs; | %mathml-conjugate; |
%mathml-exp; | %mathml-factorial; |
%mathml-arg; |
%mathml-real; | %mathml-imaginary;' >
<!ELEMENT %mathml-exp; EMPTY >
<!ATTLIST %mathml-exp; %att-definition;
%att-global; >
<!ELEMENT %mathml-abs; EMPTY >
<!ATTLIST %mathml-abs; %att-definition;
%att-global; >
<!ELEMENT %mathml-arg; EMPTY >
<!ATTLIST %mathml-arg; %att-definition;
%att-global; >
<!ELEMENT %mathml-real; EMPTY >
<!ATTLIST %mathml-real; %att-definition;
%att-global; >
<!ELEMENT %mathml-imaginary; EMPTY >
<!ATTLIST %mathml-imaginary; %att-definition;
%att-global; >
<!ELEMENT %mathml-conjugate; EMPTY >
<!ATTLIST %mathml-conjugate; %att-definition;
%att-global; >
<!ELEMENT %mathml-factorial; EMPTY >
<!ATTLIST %mathml-factorial; %att-definition;
%att-global; >
<!ENTITY % carithop1or2ary '%mathml-minus;' >
<!ELEMENT %mathml-minus; EMPTY >
<!ATTLIST %mathml-minus; %att-definition;
%att-global; >
<!ENTITY % carithop2ary '%mathml-quotient; |
%mathml-divide; |
%mathml-power; | %mathml-rem;' >
<!ELEMENT %mathml-quotient; EMPTY >
<!ATTLIST %mathml-quotient; %att-definition;
%att-global; >
<!ELEMENT %mathml-divide; EMPTY >
<!ATTLIST %mathml-divide; %att-definition;
%att-global; >
<!ELEMENT %mathml-power; EMPTY >
<!ATTLIST %mathml-power; %att-definition;
%att-global; >
<!ELEMENT %mathml-rem; EMPTY >
<!ATTLIST %mathml-rem; %att-definition;
%att-global; >
<!ENTITY % carithopnary '%mathml-plus; | %mathml-times; |
%mathml-max; | %mathml-min; | %mathml-gcd;' >
<!ELEMENT %mathml-plus; EMPTY >
<!ATTLIST %mathml-plus; %att-definition;
%att-global; >
<!ELEMENT %mathml-max; EMPTY >
<!ATTLIST %mathml-max; %att-definition;
%att-global; >
<!ELEMENT %mathml-min; EMPTY >
<!ATTLIST %mathml-min; %att-definition;
%att-global; >
<!ELEMENT %mathml-times; EMPTY >
<!ATTLIST %mathml-times; %att-definition;
%att-global; >
<!ELEMENT %mathml-gcd; EMPTY >
<!ATTLIST %mathml-gcd; %att-definition;
%att-global; >
<!ENTITY % carithoproot '%mathml-root;' >
<!ELEMENT %mathml-root; EMPTY >
<!ATTLIST %mathml-root; %att-definition;
%att-global; >
<!ENTITY % clogicopquant '%mathml-exists; | %mathml-forall;' >
<!ELEMENT %mathml-exists; EMPTY >
<!ATTLIST %mathml-exists; %att-definition;
%att-global; >
<!ELEMENT %mathml-forall; EMPTY >
<!ATTLIST %mathml-forall; %att-definition;
%att-global; >
<!ENTITY % clogicopnary '%mathml-and; | %mathml-or; | %mathml-xor;' >
<!ELEMENT %mathml-and; EMPTY >
<!ATTLIST %mathml-and; %att-definition;
%att-global; >
<!ELEMENT %mathml-or; EMPTY >
<!ATTLIST %mathml-or; %att-definition;
%att-global; >
<!ELEMENT %mathml-xor; EMPTY >
<!ATTLIST %mathml-xor; %att-definition;
%att-global; >
<!ENTITY % clogicop1ary '%mathml-not;' >
<!ELEMENT %mathml-not; EMPTY >
<!ATTLIST %mathml-not; %att-definition;
%att-global; >
<!ENTITY % clogicop2ary '%mathml-implies;' >
<!ELEMENT %mathml-implies; EMPTY >
<!ATTLIST %mathml-implies; %att-definition;
%att-global; >
<!ENTITY % ccalcop '%mathml-log; | %mathml-int; |
%mathml-diff; | %mathml-partialdiff; |
%mathml-divergence; |
%mathml-grad; | %mathml-curl; |
%mathml-laplacian;' >
<!ELEMENT %mathml-divergence; EMPTY >
<!ATTLIST %mathml-divergence; %att-definition;
%att-global; >
<!ELEMENT %mathml-grad; EMPTY >
<!ATTLIST %mathml-grad; %att-definition;
%att-global; >
<!ELEMENT %mathml-curl; EMPTY >
<!ATTLIST %mathml-curl; %att-definition;
%att-global; >
<!ELEMENT %mathml-laplacian; EMPTY >
<!ATTLIST %mathml-laplacian; %att-definition;
%att-global; >
<!ELEMENT %mathml-log; EMPTY >
<!ATTLIST %mathml-log; %att-definition;
%att-global; >
<!ELEMENT %mathml-int; EMPTY >
<!ATTLIST %mathml-int; %att-definition;
%att-global; >
<!ELEMENT %mathml-diff; EMPTY >
<!ATTLIST %mathml-diff; %att-definition;
%att-global; >
<!ELEMENT %mathml-partialdiff; EMPTY >
<!ATTLIST %mathml-partialdiff; %att-definition;
%att-global; >
<!ENTITY % ccalcop1ary '%mathml-ln;' >
<!ELEMENT %mathml-ln; EMPTY >
<!ATTLIST %mathml-ln; %att-definition;
%att-global; >
<!ENTITY % csetop1ary '%mathml-card;' >
<!ELEMENT %mathml-card; EMPTY >
<!ATTLIST %mathml-card; %att-definition;
%att-global; >
<!ENTITY % csetop2ary '%mathml-setdiff;' >
<!ELEMENT %mathml-setdiff; EMPTY >
<!ATTLIST %mathml-setdiff; %att-definition;
%att-global; >
<!ENTITY % csetopnary '%mathml-union; | %mathml-intersect;' >
<!ELEMENT %mathml-union; EMPTY >
<!ATTLIST %mathml-union; %att-definition;
%att-global; >
<!ELEMENT %mathml-intersect; EMPTY >
<!ATTLIST %mathml-intersect; %att-definition;
%att-global; >
<!ENTITY % cseqop '%mathml-sum; | %mathml-product; | %mathml-limit;' >
<!ELEMENT %mathml-sum; EMPTY >
<!ATTLIST %mathml-sum; %att-definition;
%att-global; >
<!ELEMENT %mathml-product; EMPTY >
<!ATTLIST %mathml-product; %att-definition;
%att-global; >
<!ELEMENT %mathml-limit; EMPTY >
<!ATTLIST %mathml-limit; %att-definition;
%att-global; >
<!ENTITY % ctrigop '%mathml-sin; | %mathml-cos; |
%mathml-tan; | %mathml-sec; | %mathml-csc; |
%mathml-cot; | %mathml-sinh; |
%mathml-cosh; | %mathml-tanh; |
%mathml-sech; | %mathml-csch; |
%mathml-coth; | %mathml-arcsin; |
%mathml-arccos; | %mathml-arctan;' >
<!ELEMENT %mathml-sin; EMPTY >
<!ATTLIST %mathml-sin; %att-definition;
%att-global; >
<!ELEMENT %mathml-cos; EMPTY >
<!ATTLIST %mathml-cos; %att-definition;
%att-global; >
<!ELEMENT %mathml-tan; EMPTY >
<!ATTLIST %mathml-tan; %att-definition;
%att-global; >
<!ELEMENT %mathml-sec; EMPTY >
<!ATTLIST %mathml-sec; %att-definition;
%att-global; >
<!ELEMENT %mathml-csc; EMPTY >
<!ATTLIST %mathml-csc; %att-definition;
%att-global; >
<!ELEMENT %mathml-cot; EMPTY >
<!ATTLIST %mathml-cot; %att-definition;
%att-global; >
<!ELEMENT %mathml-sinh; EMPTY >
<!ATTLIST %mathml-sinh; %att-definition;
%att-global; >
<!ELEMENT %mathml-cosh; EMPTY >
<!ATTLIST %mathml-cosh; %att-definition;
%att-global; >
<!ELEMENT %mathml-tanh; EMPTY >
<!ATTLIST %mathml-tanh; %att-definition;
%att-global; >
<!ELEMENT %mathml-sech; EMPTY >
<!ATTLIST %mathml-sech; %att-definition;
%att-global; >
<!ELEMENT %mathml-csch; EMPTY >
<!ATTLIST %mathml-csch; %att-definition;
%att-global; >
<!ELEMENT %mathml-coth; EMPTY >
<!ATTLIST %mathml-coth; %att-definition;
%att-global; >
<!ELEMENT %mathml-arcsin; EMPTY >
<!ATTLIST %mathml-arcsin; %att-definition;
%att-global; >
<!ELEMENT %mathml-arccos; EMPTY >
<!ATTLIST %mathml-arccos; %att-definition;
%att-global; >
<!ELEMENT %mathml-arctan; EMPTY >
<!ATTLIST %mathml-arctan; %att-definition;
%att-global; >
<!ENTITY % cstatopnary '%mathml-mean; | %mathml-sdev; |
%mathml-variance; | %mathml-median; |
%mathml-mode;' >
<!ELEMENT %mathml-mean; EMPTY >
<!ATTLIST %mathml-mean; %att-definition;
%att-global; >
<!ELEMENT %mathml-sdev; EMPTY >
<!ATTLIST %mathml-sdev; %att-definition;
%att-global; >
<!ELEMENT %mathml-variance; EMPTY >
<!ATTLIST %mathml-variance; %att-definition;
%att-global; >
<!ELEMENT %mathml-median; EMPTY >
<!ATTLIST %mathml-median; %att-definition;
%att-global; >
<!ELEMENT %mathml-mode; EMPTY >
<!ATTLIST %mathml-mode; %att-definition;
%att-global; >
<!ENTITY % cstatopmoment '%mathml-moment;' >
<!ELEMENT %mathml-moment; EMPTY >
<!ATTLIST %mathml-moment; %att-definition;
%att-global; >
<!ENTITY % clalgop1ary '%mathml-determinant; |
%mathml-transpose;' >
<!ELEMENT %mathml-determinant; EMPTY >
<!ATTLIST %mathml-determinant; %att-definition;
%att-global; >
<!ELEMENT %mathml-transpose; EMPTY >
<!ATTLIST %mathml-transpose; %att-definition;
%att-global; >
<!ENTITY % clalgop2ary '%mathml-vectorproduct; |
%mathml-scalarproduct; |
%mathml-outerproduct;' >
<!ELEMENT %mathml-vectorproduct; EMPTY >
<!ATTLIST %mathml-vectorproduct; %att-definition;
%att-global; >
<!ELEMENT %mathml-scalarproduct; EMPTY >
<!ATTLIST %mathml-scalarproduct; %att-definition;
%att-global; >
<!ELEMENT %mathml-outerproduct; EMPTY >
<!ATTLIST %mathml-outerproduct; %att-definition;
%att-global; >
<!ENTITY % clalgopnary '%mathml-selector;' >
<!ELEMENT %mathml-selector; EMPTY >
<!ATTLIST %mathml-selector; %att-definition;
%att-global; >
<!-- Content elements: relations -->
<!ENTITY % cgenrel2ary '%mathml-neq;' >
<!ELEMENT %mathml-neq; EMPTY >
<!ATTLIST %mathml-neq; %att-definition;
%att-global; >
<!ENTITY % cgenrelnary '%mathml-eq; | %mathml-leq; |
%mathml-lt; | %mathml-geq; |
%mathml-gt;| %mathml-equivalent; |
%mathml-approx;' >
<!ELEMENT %mathml-eq; EMPTY >
<!ATTLIST %mathml-eq; %att-definition;
%att-global; >
<!ELEMENT %mathml-equivalent; EMPTY >
<!ATTLIST %mathml-equivalent; %att-definition;
%att-global; >
<!ELEMENT %mathml-approx; EMPTY >
<!ATTLIST %mathml-approx; %att-definition;
%att-global; >
<!ELEMENT %mathml-gt; EMPTY >
<!ATTLIST %mathml-gt; %att-definition;
%att-global; >
<!ELEMENT %mathml-lt; EMPTY >
<!ATTLIST %mathml-lt; %att-definition;
%att-global; >
<!ELEMENT %mathml-geq; EMPTY >
<!ATTLIST %mathml-geq; %att-definition;
%att-global; >
<!ELEMENT %mathml-leq; EMPTY >
<!ATTLIST %mathml-leq; %att-definition;
%att-global; >
<!ENTITY % csetrel2ary '%mathml-in; | %mathml-notin; |
%mathml-notsubset; |
%mathml-notprsubset;' >
<!ELEMENT %mathml-in; EMPTY >
<!ATTLIST %mathml-in; %att-definition;
%att-global; >
<!ELEMENT %mathml-notin; EMPTY >
<!ATTLIST %mathml-notin; %att-definition;
%att-global; >
<!ELEMENT %mathml-notsubset; EMPTY >
<!ATTLIST %mathml-notsubset; %att-definition;
%att-global; >
<!ELEMENT %mathml-notprsubset; EMPTY >
<!ATTLIST %mathml-notprsubset; %att-definition;
%att-global; >
<!ENTITY % csetrelnary '%mathml-subset; | %mathml-prsubset;' >
<!ELEMENT %mathml-subset; EMPTY >
<!ATTLIST %mathml-subset; %att-definition;
%att-global; >
<!ELEMENT %mathml-prsubset; EMPTY >
<!ATTLIST %mathml-prsubset; %att-definition;
%att-global; >
<!ENTITY % cseqrel2ary '%mathml-tendsto;' >
<!ELEMENT %mathml-tendsto; EMPTY >
<!ATTLIST %mathml-tendsto; %att-definition;
%att-type;
%att-global; >
<!-- Content elements: quantifiers -->
<!ENTITY % cquantifier '%mathml-lowlimit; |
%mathml-uplimit; | %mathml-bvar; |
%mathml-degree; | %mathml-logbase;' >
<!ATTLIST %mathml-lowlimit; %att-global; >
<!ATTLIST %mathml-uplimit; %att-global; >
<!ATTLIST %mathml-bvar; %att-global; >
<!ATTLIST %mathml-degree; %att-global; >
<!ATTLIST %mathml-logbase; %att-global; >
<!-- 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; |
%cconstructor; | %cquantifier; |
%cop1ary; |%cop2ary; |%copnary; |%copmisc; |
%crel2ary; |%crelnary;' >
<!-- Content constructs for substitution in presentation structures -->
<!ENTITY % ContInPres '%mathml-ci; |%mathml-csymbol;| %mathml-cn;|
%mathml-apply; | %mathml-fn; |
%mathml-lambda; | %mathml-reln; |
%mathml-interval; | %mathml-list; |
%mathml-matrix; | %mathml-matrixrow; |
%mathml-set; | %mathml-vector; |
%mathml-semantics; |%mathml-declare;' >
<!-- ************************************************************************ -->
<!-- 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 |
%mathml-mchar; |
%mathml-mglyph; ' >
<!-- Content elements: tokens -->
<!-- (may contain embedded presentation constructs) -->
<!ELEMENT %mathml-ci; (%MathMLCharacters; | %PresInCont;)* >
<!ELEMENT %mathml-csymbol; (%MathMLCharacters; | %PresInCont;)* >
<!ELEMENT %mathml-cn; (%MathMLCharacters; | %mathml-sep; | %PresInCont;)* >
<!-- Content elements: special -->
<!ELEMENT %mathml-apply; (%ContentExpression;) >
<!ELEMENT %mathml-reln; (%ContentExpression;) >
<!ELEMENT %mathml-lambda; (%ContentExpression;) >
<!-- Content elements: other -->
<!ELEMENT %mathml-condition; (%ContentExpression;) >
<!ELEMENT %mathml-declare; (%ContentExpression;) >
<!-- Content elements: semantics -->
<!ELEMENT %mathml-semantics; (%ContentExpression;) >
<!ELEMENT %mathml-annotation; (#PCDATA) >
<!ELEMENT %mathml-annotation-xml; ANY >
<!-- Content elements: constructors -->
<!ELEMENT %mathml-interval; (%ContentExpression;) >
<!ELEMENT %mathml-set; (%ContentExpression;) >
<!ELEMENT %mathml-list; (%ContentExpression;) >
<!ELEMENT %mathml-vector; (%ContentExpression;) >
<!ELEMENT %mathml-matrix; (%ContentExpression;) >
<!ELEMENT %mathml-matrixrow; (%ContentExpression;) >
<!-- Content elements: operator (user-defined) -->
<!ELEMENT %mathml-fn; (%ContentExpression;) >
<!-- Content elements: quantifiers -->
<!ELEMENT %mathml-lowlimit; (%ContentExpression;) >
<!ELEMENT %mathml-uplimit; (%ContentExpression;) >
<!ELEMENT %mathml-bvar; (%ContentExpression;) >
<!ELEMENT %mathml-degree; (%ContentExpression;) >
<!ELEMENT %mathml-logbase; (%ContentExpression;) >
<!-- ************************************************************************ -->
<!-- Presentation layout schemata contain tokens, -->
<!-- layout and content schemata. -->
<!-- ************************************************************************ -->
<!ELEMENT %mathml-mstyle; (%PresExpression;) >
<!ELEMENT %mathml-merror; (%PresExpression;) >
<!ELEMENT %mathml-mphantom; (%PresExpression;) >
<!ELEMENT %mathml-mrow; (%PresExpression;) >
<!ELEMENT %mathml-mfrac; (%PresExpression;) >
<!ELEMENT %mathml-msqrt; (%PresExpression;) >
<!ELEMENT %mathml-menclose; (%PresExpression;) >
<!ELEMENT %mathml-mroot; (%PresExpression;) >
<!ELEMENT %mathml-msub; (%PresExpression;) >
<!ELEMENT %mathml-msup; (%PresExpression;) >
<!ELEMENT %mathml-msubsup; (%PresExpression;) >
<!ELEMENT %mathml-mmultiscripts; (%PresExpression;) >
<!ELEMENT %mathml-munder; (%PresExpression;) >
<!ELEMENT %mathml-mover; (%PresExpression;) >
<!ELEMENT %mathml-munderover; (%PresExpression;) >
<!ELEMENT %mathml-mtable; (%PresExpression;) >
<!ELEMENT %mathml-mtr; (%PresExpression;) >
<!ELEMENT %mathml-mlabeledtr; (%PresExpression;) >
<!ELEMENT %mathml-mtd; (%PresExpression;) >
<!ELEMENT %mathml-maction; (%PresExpression;) >
<!ELEMENT %mathml-mfenced; (%PresExpression;) >
<!ELEMENT %mathml-mpadded; (%PresExpression;) >
<!-- Presentation elements contain PCDATA or malignmark constructs. -->
<!ELEMENT %mathml-mi; (%MathMLCharacters; |
%mathml-malignmark;)* >
<!ELEMENT %mathml-mn; (%MathMLCharacters; |
%mathml-malignmark;)* >
<!ELEMENT %mathml-mo; (%MathMLCharacters; |
%mathml-malignmark;)* >
<!ELEMENT %mathml-mtext; (%MathMLCharacters; |
%mathml-malignmark;)* >
<!ELEMENT %mathml-ms; (%MathMLCharacters; |
%mathml-malignmark;)* >
<!-- ************************************************************************ -->
<!-- Browser interface definition -->
<!-- ************************************************************************ -->
<!-- Attributes for top-level element 'math' -->
<!ENTITY % att-macros 'macros CDATA #IMPLIED' >
<!ENTITY % att-mode 'mode CDATA #IMPLIED' >
<!ENTITY % att-topinfo '%att-global;
%att-macros;
%att-mode;' >
<!-- 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 %mathml-math; (%MathExpression;) >
<!ATTLIST %mathml-math; %att-topinfo;
%att-browif; >
<!-- ************************************************************************ -->
<!-- Entity sets from ISO Technical Report 9573-13 -->
<!-- ************************************************************************ -->
<!ENTITY % ent-isoamsa PUBLIC
"-//W3C//ENTITIES Added Math Symbols: Arrow Relations for MathML 2.0//EN"
"isoamsa.ent" >
%ent-isoamsa;
<!ENTITY % ent-isoamsb PUBLIC
"-//W3C//ENTITIES Added Math Symbols: Binary Operators for MathML 2.0//EN"
"isoamsb.ent" >
%ent-isoamsb;
<!ENTITY % ent-isoamsc PUBLIC
"-//W3C//ENTITIES Added Math Symbols: Delimiters for MathML 2.0//EN"
"isoamsc.ent" >
%ent-isoamsc;
<!ENTITY % ent-isoamsn PUBLIC
"-//W3C//ENTITIES Added Math Symbols: Negated Relations for MathML 2.0//EN"
"isoamsn.ent" >
%ent-isoamsn;
<!ENTITY % ent-isoamso PUBLIC
"-//W3C//ENTITIES Added Math Symbols: Ordinary for MathML 2.0//EN"
"isoamso.ent" >
%ent-isoamso;
<!ENTITY % ent-isoamsr PUBLIC
"-//W3C//ENTITIES Added Math Symbols: Relations for MathML 2.0//EN"
"isoamsr.ent" >
%ent-isoamsr;
<!ENTITY % ent-isogrk3 PUBLIC
"-//W3C//ENTITIES Greek Symbols for MathML 2.0//EN"
"isogrk3.ent" >
%ent-isogrk3;
<!ENTITY % ent-isomfrk PUBLIC
"-//W3C//ENTITIES Math Alphabets: Fraktur for MathML 2.0//EN"
"isomfrk.ent" >
%ent-isomfrk;
<!ENTITY % ent-isomopf PUBLIC
"-//W3C//ENTITIES Math Alphabets: Open Face for MathML 2.0//EN"
"isomopf.ent" >
%ent-isomopf;
<!ENTITY % ent-isomscr PUBLIC
"-//W3C//ENTITIES Math Alphabets: Script for MathML 2.0//EN"
"isomscr.ent" >
%ent-isomscr;
<!ENTITY % ent-isotech PUBLIC
"-//W3C//ENTITIES General Technical for MathML 2.0//EN"
"isotech.ent" >
%ent-isotech;
<!-- ************************************************************************ -->
<!-- Entity sets from informative annex to -->
<!-- ISO Standard 8879:1986 (the SGML standard) -->
<!-- ************************************************************************ -->
<!ENTITY % ent-isobox PUBLIC
"-//W3C//ENTITIES Box and Line Drawing for MathML 2.0//EN"
"isobox.ent" >
%ent-isobox;
<!ENTITY % ent-isocyr1 PUBLIC
"-//W3C//ENTITIES Russian Cyrillic for MathML 2.0//EN"
"isocyr1.ent" >
%ent-isocyr1;
<!ENTITY % ent-isocyr2 PUBLIC
"-//W3C//ENTITIES Non-Russian Cyrillic for MathML 2.0//EN"
"isocyr2.ent" >
%ent-isocyr2;
<!ENTITY % ent-isodia PUBLIC
"-//W3C//ENTITIES Diacritical Marks for MathML 2.0//EN"
"isodia.ent" >
%ent-isodia;
<!ENTITY % ent-isolat1 PUBLIC
"-//W3C//ENTITIES Added Latin 1 for MathML 2.0//EN"
"isolat1.ent" >
%ent-isolat1;
<!ENTITY % ent-isolat2 PUBLIC
"-//W3C//ENTITIES Added Latin 2 for MathML 2.0//EN"
"isolat2.ent" >
%ent-isolat2;
<!ENTITY % ent-isonum PUBLIC
"-//W3C//ENTITIES Numeric and Special Graphic for MathML 2.0//EN"
"isonum.ent" >
%ent-isonum;
<!ENTITY % ent-isopub PUBLIC
"-//W3C//ENTITIES Publishing for MathML 2.0//EN"
"isopub.ent" >
%ent-isopub;
<!-- ************************************************************************ -->
<!-- MathML aliases for characters defined above -->
<!-- ************************************************************************ -->
<!ENTITY % ent-mmlalias PUBLIC
"-//W3C//ENTITIES Aiases for MathML 2.0//EN"
"mmlalias.ent" >
%ent-mmlalias;
<!-- ************************************************************************ -->
<!-- New characters defined by MathML -->
<!-- ************************************************************************ -->
<!ENTITY % ent-mmlextra PUBLIC
"-//W3C//ENTITIES Extra for MathML 2.0//EN"
"mmlextra.ent" >
%ent-mmlextra;
<!-- end of DTD fragment -->