Changes to frontmatter.
Changes to Chapter 1 Introduction.
Changes to Section 2.1 MathML Overview.
Modify description of namespace declarations in Section 2.2 MathML in a Document.
Modify description of entity usage in Section 2.3.1 Presentation Examples.
Correct the MathML and default rendering of quatratic formula example in Section 2.3.2 Content Examples.
Wording changes in Section 2.4.5 Attributes Shared by all MathML Elements.
Changes to Chapter 3 Presentation Markup.
Delete incorrect reference to default em units in Section 188.8.131.52.5 Spacing around an operator.
Editorial changes to the wording in Section 3.2.8 String Literal (ms).
Correct description of
lspace value in
Section 3.3.6 Adjust Space Around Content
Add warning that attempts to render outside the bounding box of the MathML expression will give implemetation specific results in Section 3.3.6 Adjust Space Around Content (mpadded).
Modify text to match example and refer to over brace rather than over bar in Section 3.4.5 Overscript (mover).
Correct description of
Section 3.3.2 Fractions (mfrac) (may be set on
Extend the description of Section 3.3.9 Enclose Expression Inside Notation (menclose) to clarify that the list of notations is open-ended, and extend the example list to include boxes and strikeouts of various forms.
The example in this section omitted units in the
Correct the example MathML in Section 3.5.1 Table or Matrix (mtable).
Correct the description of
mlabeledtr in list of elements with inferred
mrows in Section 3.5.5 Alignment Markers.
columnspan must be
positive integers in Section 184.108.40.206 Attributes.
Correct the description the
linebreak attribute in
Section 3.2.7 Space (mspace).
Editorial changes to the text in Section 3.1.6 Summary of Presentation Elements, Section 220.127.116.11 Alphanumeric symbol characters, Section 3.2.2 Mathematics style attributes common to token elements, Section 18.104.22.168 Color-related attributes, Section 3.2.9 Accessing glyphs for characters from MathML (mglyph), Section 3.4.3 Subscript-superscript Pair (msubsup), Section 3.4.6 Underscript-overscript Pair (munderover), and Section 3.4.7 Prescripts and Tensor Indices (mmultiscripts).
Clarification that the
mglyph is not deprecated
in Section 22.214.171.124 Deprecated style attributes on token
Editorial changes to the description of MathML conformance, and deletion of the non normative and unsupported menu action type in Section 3.6.1 Bind Action to Sub-Expression (maction).
Addition of a tail to the image for U+2910, and swapping the images for the lowercase phi variants, U+03D5 and U+03C6.
Changes to Chapter 4 Content Markup.
Add comment about use of
Section 4.2.1 Overview of Syntax and Usage.
Modify description of the
definitionURL attribute in
Section 126.96.36.199 Explicitly defined functions and operators,
Section 4.2.2 Containers
to be consistent with the DTD with regard to the
Modify description of the
type attribute in
Section 4.2.1 Overview of Syntax and Usage.
Add clarifying comments on the attributes allowed on
declare and give new extended example in
Section 188.8.131.52 Declare (declare).
New text clarifying the use of
Section 184.108.40.206 Tends To (tendsto).
New text highlighting the fact that
vector may be
rendered either horizontally or vertically in
Section 220.127.116.11 Vector (vector).
The descriptions of the "scientific, or e notation" (1.234e5) in
type, Section 18.104.22.168 Identifier (ci) and
Appendices C and D became inconsistent in the final
draft of MathML2. The older names float and floating-point remained, and the
description of type="e-notation" in Chapter 4 (but not Appendix C)
described its use with the example 1.234 e 5
where e was used as a separator rather than the
Correct the example MathML in Section 22.214.171.124 General Attributes.
Add note to Section 126.96.36.199 Universal quantifier (forall) observing that the mathematical expressions in the examples are false.
Clarify that the order of child elements of
is not signifcant in Section 188.8.131.52 Bound variable (bvar).
Correct the example of OpenMath usage in in Section 184.108.40.206 XML-based annotation (annotation-xml), Section 4.2.5 Conditions, and Section 220.127.116.11 Externally defined symbol (csymbol).
Clarification on the use of bound variables in in Section 18.104.22.168 Constructors, Section 22.214.171.124 Operators taking Qualifiers, Section 126.96.36.199 Interval (interval), Section 188.8.131.52 Lambda (lambda), Section 184.108.40.206 Integral (int), and Section 220.127.116.11 Differentiation (diff).
piecewice may be used with no
piece children in Section 18.104.22.168 Piecewise declaration
Use the MathML2
pi element in the example in Section 22.214.171.124 Approximately (approx).
Modify example of the "constant" type in Section 126.96.36.199 Number (cn).
Expand and clarify the use of qualifier elements such as
bvar in Section 188.8.131.52 The use of qualifier elements.
Clarify the description of the
condition element in
Section 184.108.40.206 Condition (condition), especially its relationship to
Make explict that
domainofapplication is a qualifier
element in Section 220.127.116.11 Domain of Application (domainofapplication)
Show the full equation, not just the left hand side, in the example rendering in Section 18.104.22.168 Scalar product (scalarproduct).
fn is deprecated
in Section 22.214.171.124 The use of qualifier elements.
Editorial changes in Section 4.2 Content Element Usage Guide.
Deletion of the stated restriction that the element may only
appear as a child of
in Section 126.96.36.199 Maximum and minimum (max,
Clarify that qualifiers may be used with all n-ary operators in [n-ary operators].
Clarification of the use of qualifier elements with
in [csymbol and ci].
Clarification of the use of qualifier elements in in Section 188.8.131.52 Function composition (compose), Section 184.108.40.206 Addition (plus), Section 220.127.116.11 Multiplication (times), Section 18.104.22.168 Cartesian product (cartesianproduct), Section 22.214.171.124 Greatest common divisor (gcd), Section 126.96.36.199 And (and), Section 188.8.131.52 Or (or), Section 184.108.40.206 Exclusive Or (xor), Section 220.127.116.11 Existential quantifier (exists), Section 18.104.22.168 Equals (eq), Section 22.214.171.124 Greater than (gt), Section 126.96.36.199 Less Than (lt), Section 188.8.131.52 Greater Than or Equal (geq), Section 184.108.40.206 Less Than or Equal (leq), Section 220.127.116.11 Equivalent (equivalent), Section 18.104.22.168 Lowest common multiple (lcm).
Additional example, showing the use of
in Section 22.214.171.124 Subset (subset).
Editorial changes to clarify the allowed arguments in Section 126.96.36.199 Intersect (intersect).
Editorial additions clarifying the intended
Section 4.3 Content Element Attributes.
Correct the example rendering in Section 188.8.131.52 Outer product (outerproduct).
Editorial corrections to text in Section 5.2 Mixed Markup.
Correct the complexity of parallel markup given in Section 5.3 Parallel Markup to O(n log n).
Modify the example rendering image to include both sides of the equivalence expression in Section 5.2.1 Reasons to Mix Markup.
Add bibiographic reference to the OpenMath Standard in Section 5.2.1 Reasons to Mix Markup.
Correct the example MathML in Section 5.4.3 Style Sheets for Extensions.
Changes to Chapter 6 Characters, Entities and Fonts.
Delete references to (deprecated) negative and other spacing characters in the table in Section 6.2.4 Non-Marking Characters.
Delete reference to possible Unicode characters for Boolean values as these were not in the final set of characters added at Unicode 3.2, Section 6.3.1 Special Constants.
Some changes in Section 6.3.4 Negated Mathematical Characters to document the current usage of combining characters which have been brought into line with the final versions of Unicode 3.2.
Changes to Section 6.2 MathML Characters, Section 6.2.1 Unicode Character Data, Section 6.2.3 Mathematical Alphanumeric Symbols Characters, Section 6.3.2 Character Tables (ASCII format), Section 6.3.3 Tables arranged by Unicode block, Section 6.3.5 Variant Mathematical Characters, Section 6.3.6 Mathematical Alphanumeric Symbols and Section 6.4.4 Status of Character Encodings, to reflect Unicode 3.1 and 3.2 which were both released after the first edition of MathML 2.0.
Editorial changes to the description of
Section 6.2.2 Special Characters Not in Unicode.
Changes to Chapter 7 The MathML Interface.
Deleted reference to non-conforming namespace behavior in some existing systems in Section 7.1.1 MathML and Namespaces.
Editorial changes to Section 7.1.2 The Top-Level math Element.
Change reference to XLink which is now a W3C Recommendation, Section 7.1.4 Mixing and Linking MathML and HTML.
New section, Section 7.1.5 MathML and Graphical Markup giving an example integrating with SVG.
Additional markup for bibliographic references in Section 7.2.3 Attributes for unspecified data.
Editorial changes to description of MathML processors in Section 7.2 Conformance.
New section describing (existing) extension mechanisms in MathML 2, Section 184.108.40.206 MathML 2.0 Extension Mechanisms and Conformance.
Editorial changes to use consistent terminology to describe conformance criteria for MathML processors in Section 220.127.116.11 MathML Test Suite and Validator, Section 18.104.22.168 Deprecated MathML 1.x Features, Section 7.2.2 Handling of Errors, and Section 7.3 Future Extensions.
Changes to Appendix A Parsing MathML.
New section, Section A.1 Use of MathML as Well-Formed XML describing use without a DTD.
The location of the MathML DTDs described in Section A.2.1 DOCTYPE declaration for MathML and Section A.2.3 MathML as a DTD Module are now in the Math Working group area rather than distributed with this Recommendation.
In Section A.2.4 SGML, the link to the W3C Note on SGML and XML has been corrected and changed to a bibliography reference.
The MathML DTD as shown in Section A.2.5 The MathML DTD Incorporates several corrections as listed in the MathML 2.0 Errata document, or listed in the change log at the end of the DTD.
New section, Section A.3 Using the MathML XML Schema describing the use of the W3C XML Schema for MathML.
Changes to Appendix B Content Markup Validation Grammar.
Many corrections, and new display format for the productions given in the grammar for Content Markup in Appendix B Content Markup Validation Grammar.
Changes to Appendix C Content Element Definitions.
Many corrections to the MathML Examples in cn, ci, interval, factorial, rem, root, gcd, divide, plus, equivalent, partialdiff, divergence, grad, limit, moment, selector, rationals, exponentiale, imaginaryi, reln, condition, lambda, compose, codomain, image, domainofapplication, piecewise, piece, quotient, min, forall, int, max, minus, times, eq, lowlimit, abs, lcm, gt, lt, geq, leq, lowlimit, uplimit, bvar, degree, curl, set, list, union, intersect, subset, prsubset, sum, product, exp, ln, log, sin, cos, tan, sec, csc, cot, sinh, cosh, tanh, sech, csch, coth, arcsin, arccos, arctan, arccosh, arccot, arccoth, arccsc, arccsch, arcsec, arcsech, arcsinh, arctanh, momentabout, vector, matrix, transpose, reals, power, exists, floor, ceiling, approx, true, false, pi, eulergamma, otherwise.
Clarify the use of
in Section C.1 About Content Markup Elements.
Changes to Appendix D Document Object Model for MathML.
Corrections to the following interfaces: MathMLPresentationToken, MathMLContentToken, MathMLSpaceElement, MathMLOperatorElement, MathMLStyleElement, MathMLFencedElement, MathMLFractionElement, MathMLContentElement, MathMLIntervalElement, MathMLApplyElement, MathMLEncloseElement, MathMLActionElement, MathMLTableRowElement, MathMLCnElement, MathMLCiElement, MathMLTendsToElement.
Modification of the description of
tendsto in Section D.2.2 Table of Elements and MathML DOM Representations.
Changes to Appendix F Operator Dictionary.
Blank lines in Section F.5 Operator dictionary entries used in the inferred mrow grouping algorithm were omitted. They have been restored based on the groupings in MathML 1.01.
Some entity names in Section F.5 Operator dictionary entries have been corrected and/or deleted to match the names in the MathML DTD.
Changes to Appendix J Changes.
New section Section J.1 Changes between MathML 2.0 and MathML 2.0 Second Edition describing changes in the Second Edition.
Minor edits to the description of the earlier changes in Section J.2 Changes between MathML 1.01 and MathML 2.0.
Changes to Appendix K References.
Changes to Appendix L Index.
changes to Chapter 1 Introduction
changes to Chapter 2 MathML Fundamentals
changes to Chapter 3 Presentation Markup
introduced a new section on bidirectional layout of mathematics
introduced new mathematics style attributes
mathcolor on token elements, and deprecated the
introduced new elements mglyph, menclose and mlabeledtr and updated related text accordingly
added attributes beveled, numalign and denomalign to mfrac
added a linebreaking attribute to mspace
required mtr and mtd elements to be explicit instead of allowing them to be inferred.
changes to Chapter 4 Content Markup
deprecated the use of reln and fn and changed the use of apply accordingly
introduced csymbol and added a discussion about the relation to the deprecated fn element
introduced new content elements domain, codomain, image, domainofapplication, arg, real, imaginary, lcm, floor, ceiling, equivalent, approx, divergence, grad, curl, laplacian, card, cartesianproduct, momentabout, vectorproduct, scalarproduct, outerproduct, integers, reals, rationals, naturalnumbers, complexes, primes, exponentiale, imaginaryi, notanumber, true, false, emptyset, pi, eulergamma, infinity, piecewise, piece and otherwise
corrected examples and fixed typos
expanded the attribute definitionURL to allow a URL or a URI as a value
clarified the use of presentation markup inside cn
made use of encoding attribute more uniform
changed description of the use of bvar in combination with min and max
added description of content-faithful transformation
updated examples to reflect MathML 2.0
define list of content that can appear in presentation
add attribute xref for cross-referencing purposes
added examples using XLink and namespaces
make use of encoding attribute more uniform
miscellaneous typographical corrections
changes to Chapter 6 Characters, Entities and Fonts
added a new section describing the methods of using Unicode data within MathML
added a new section describing the correspondence between
Math Alphabet characters and the
completely revised and reformatted the MathML character tables to reflect changes in Unicode since MathML 1.01
changes to Chapter 7 The MathML Interface
reworked the text in acknowledgement of the fact that the top-level and interface elements for MathML are now in practice the same
rewrote the text about linking to reflect changes in XLink since MathML 1.01
revised material about interactions with embedded renderers to reflect the current state of DOM implementation
added a definition of deprecated features in MathML 2
updated the text to reflect the use of namespaces and the introduction of XHTML. 2.0
added a new section on the appropriate use of CSS and the new mathematics style attributes in rendering environments with support CSS
changes to Chapter 8 Document Object Model for MathML
this is a completely new chapter
changes to Appendix A Parsing MathML
renamed attribute occurence to occurrence
added global attribute xref
add links to tables for each entity set
changes to Appendix B Content Markup Validation Grammar
Updated to reflect MathML 2.0.
changes to Appendix C Content Element Definitions
completely rewritten to reflect changes in MathML 2.0
changes to Appendix F Operator Dictionary
entries in operator dictionary are parametrized
operator dictionary has become a non-normative part of the specification
new entries were added to operator dictionary
changes to Appendix D Document Object Model for MathML
this is a completely new appendix, containing the IDL definitions
changes to Appendix H Glossary
added entries for XSL, XSLT and XSL FO
all members of first and second Math Working Group are listed
changes to Appendix J Changes
completely new appendix, based on the logs obtained from CVS
changes to Appendix K References
added and updated many entries
text of specification now in XML form, with HTML and XHTML rendering by means of XSLT, and PDF rendering by means of XSLT and TEX
fixed errors in spelling and notation
normative examples of formulas are images, with a LaTEX equivalent
non-normative examples of formulas are HTML constructions wherever possible