Lecture Note
TEX/LATEX, MathML, TeX4ht
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University:
California State University, Northridge -
Course:
MATH 382/L | Introduction to Scientific Computing and Lab Academic year:
2008
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Views:
337
Pages:
35
Author:
absolument20yzj
TEX/ LATEX, MathML, TeX4ht:
essential tools for creating accessible
documents
TEX/ LATEX, MathML, – p. The goals
Assembly of the tools for creating (ADA/ 508
compliant) accessible documents, including text,
math, graphics, and field oriented (chemistry,
physics, law, music);
Delivery of platforms’ specific (Linux, Mac,
Windows) tools to the faculty/ students through:
ISO images for CD/ DVD burning available on a
CSUN server,
TEX/ LATEX, MathML, – p. The goals
Assembly of the tools for creating (ADA/ 508
compliant) accessible documents, including text,
math, graphics, and field oriented (chemistry,
physics, law, music);
Delivery of platforms’ specific (Linux, Mac,
Windows) tools to the faculty/ students through:
ISO images for CD/ DVD burning available on a
CSUN server,
master copies available for CD/ DVD duplication,
online downloading of particular packages;
Tutorials: online and retrievable (for printing) from
a CSUN server.
Note: The presentation below provides a brief overview
of the tools/ ideas involved in the process of creating
accessible documents.
It is not meant as a tutorial !
TEX/ LATEX, MathML, – p. The theme . . . , LATEX
What is LATEX ?
LATEX is a markup language (as groff/ troff, html,
are) for representing structured documents.
Very simple examples of LATEX and html source
codes:
Side by side source codes for LATEX and html
TEX/ LATEX, MathML, – p. What is document markup ?
In a word processor, one sees the document more or
less as it will look when printed;
Working with a markup language is different. For
example, to emphasize the phrase detailed
description in LATEX source file, one has to
type:
\emph{detailed description};
Markup languages have always dominated
typographic work of high quality;
LATEX is a markup language designed and
implemented by Leslie Lamport (1994) in
A document Preparation System , based on Donald
E. Knuth’s (1984) The TEXbook .
TEX/ LATEX, MathML, – p. The theme . . . , MathML
What is MathML?
MathML is an application of XML for
describing mathematical notations and capturing
both its structure and content. It aims at
integrating mathematical formulas into World
Wide Web documents.
As LATEX, XML is a markup language for
representing structured documents. However, in
contrast to LATEX, XML is NOT page layout
language. Also XML is an interchange and
manipulation interface designed for machine.
Very simple examples of LATEX and MathML codes:
Side by side source codes for LATEX and MathML
(Note: In the interest of brevity, a preamble part
of the XML/ MathML document is omitted.)
TEX/ LATEX, MathML, – p. Presentation and Content MathML
From Wikipedia entry for MathML :
MathML deals not only with the presentation but also
the meaning of formula components (the latter part of
MathML is known as “Content MathML”). Because the
meaning of the equation is preserved separate from the
presentation, how the content is communicated can be
left up to the user. For example, web pages with MathML
embedded in them can be viewed as normal web pages
with many browsers but visually impaired users can also
have the same MathML read to them through the use of
screen readers (e.g. using the MathPlayer plugin for
Internet Explorer, Opera 9.50 build 9656+ or the Fire
Vox extension for Firefox).
TEX/ LATEX, MathML, – p. Presentation MathML
From Wikipedia entry for MathML :
Presentation MathML focuses on the display of an
equation, and has about 30 elements, and 50 attributes.
The elements all begin with m and include token
element: < mi >x< / mi > - identifiers; < mo >+< / mo > operators; < mn >2< / mn > - number. Tokens are
combined using layout elements which include: < mrow >
- a row; < msup > - superscripts; < mfrac > - fractions.
The attributes mainly control fine details of the
presentation. A large number of entities are available
which represent letters &pi (π, my addition); symbols
→ and some non-visible character such as
representing multiplication.
Below, I focus only on Presentation MathML.
TEX/ LATEX, MathML, – p. Important qualifications
TEX/ LATEX provides extremely detailed page layout.
HTML/ XML/ MathML formats do not! They are
functional mark-up languages and NOT page layout
languages. Their exact rendering is not given by the
document but decided by a browser, by windows
size, resolution, and font selection. The results are
good for browsing by not for printing.
The only way to produce a precise page layouts is to
represent documents in a page layout languages such
as PDF, Postscript, or DVI.
Furthermore, . . . word processor formats are not
suitable for transmitting printable copy, hopeless for
browsing, and unreliable for archiving because of
the instability of the formats. (see, reference [9])
TEX/ LATEX, MathML, – p. Prose
In addition to mathematical expressions, MathML (as an
application of XML) provides all the needed support for
prose documents:
Sectional units;
Lists;
Tables, etc.
For example, these LATEX and XML source codes
result in the following(browser) output, or its pdfversion.
For brevity, I didn’t include preambles in either LATEX or
XML codes.
TEX/ LATEX, MathML, – p. Graphics
MathML (as an application) of XML easily handles
pictures. Here are side by side comparisons of
LATEX and XML codes that result in the following
picture:
TEX/ LATEX, MathML, – p. 1 Graphics
MathML (as an application) of XML easily handles
pictures. Here are side by side comparisons of
LATEX and XML codes that result in the following
picture:
TEX/ LATEX, MathML, – p. 1 Creating MathML documents
There are several ways to create MathML documents.
One can start from
LATEX document and convert the LATEX source code
to MathML using Open Source TeX4ht, TTH,
Hermes, (online) ORCCA, or Tralics;
one can use MathML authoring tools, for example,
commercial applications like MathType and
Scientific Word, or Open Source and full fledged
word-processor OpenOffice.
One can also use MathML editors/ browsers, e.g.,
commercial WebEQT M or Open Source Amaya.
Additionally, the commercial algebra systems and
engineering software, e.g., Maple, Mathematica,
Matlab, or Mathcad, allow saving worksheets
(documents) in MathML format.
TEX/ LATEX, MathML, – p. 1 Starting from LATEX
foo.tex
=⇒
TeX4ht
=⇒
MathML
Conversion is obtained with the following TeX4ht
command,
mzlatex foo.tex,
and the output is XML file, foo.xml.
Notes:
(1) There is NO need to change the original LATEX source
file before conversion to MathML.
(2) After applying the LATEX commands,
latex foo.tex
and
pdflatex foo.tex,
one gets usual dvi (foo.dvi) and pdf (foo.pdf) outputs.
TEX/ LATEX, MathML, – p. 1 Other converters to MathML format
There are other converters from LATEX to MathML (all
Open Source):
TTH: the TEX to HTML translator ; last time
updated in March 2007.
Tralics: a LaTeX to XML translator ; currently
maintained.
Hermes - a semantic XML+MathML+Unicode
e-publishing/ self-archiving tool for LaTeX authored
scientific articles; last updated in November 2007.
ORCCA, TEX/ LATEX to MathML Online Translator
maintained by Ontario Research Center for
Computer Algebra (ORCCA). However, the site is
not always operational.
TEX/ LATEX, MathML, – p. 1 Converters to MathML format, via Pseudo-TeX (all
Open Source)
Starting from an html document, ASCIIMathML
JavaScript package provides quick and easily
produced math formulas by using calculator-style
syntax. For other variants, see the above webpage.
The following three packages:
Generalized Extensible LaTeX-Like Markup (GELLMU) ,
Itex2MML (Unix platform only) , and
WebTeX: A Markup Language for WebEQT M
modify TEX/ LATEX syntax for further conversion into
MathML format.
WebTeX is worth mentioning since it used as an input to
the various WebEQT M tools. However, its output can
take a number of forms, including images, applets, or the
equivalent MathML markup.
TEX/ LATEX, MathML, – p. 1 Selected Graphical document editors that export documents to MathML I
There are several MathML authoring tools that do not
require LATEX code to create MathML output:
Commercial MathType equation editor for
Mac/ Windows platforms only. MathType editor
works with MS Office applications (MSWord,
PowerPoint, and Excel documents), as well as with
QuarkXPress and Adobe inDesign layouts. It also
accepts TEX/ LATEX typesetting language.
Commercial Scientific Word/ Notebook combines
MuPadP ro algebra system with WYSIWYG
word-processing of technical documents. Its
documents can be exported to LATEX and to
XML/ MathML. Scientific Word is available for
Linux/ Mac/ Windows platforms.
TEX/ LATEX, MathML, – p. 1 Selected Graphical document editors that export documents to MathML II
Open Source OpenOffice is a professional word
processor freely available for Linux, Mac, and
Windows platforms. OpenOffice exports
documents not only to MathML and LATEX , but also
reads and writes MSWord documents!
As in MathType and Scientific Word, OpenOffice
does not require LATEX input.
TEX/ LATEX, MathML, – p. 1 Selected MathML editors/ viewers
W3C’s Editor/ Browser (started in 1996), Amaya , is
a tool used to create and update documents directly
on the Web, including an increasing number of
XML applications, such as the XHTML family,
MathML, and SVG. It allows all those vocabularies
to be edited simultaneously in compound
documents. Open Source Amaya editor is a freely
available for all three platforms: Linux, Mac, and
Windows. It does not require LATEX input.
Commercial WebEQT M Developers Suite is a
toolkit for creating web pages that include
interactive math. WebEQT M is based on Java and
has embedded MathML. It is platform and browser
independent. Available for Linux/ Mac/ Windows.
TEX/ LATEX, MathML, – p. 1 Other tools for creating MathML
Below, I list examples of proprietary algebra systems and
engineering calculation software that export documents
to XML/ MathML.
Maple is a mathematical computation engine with
fully integrated numerics and symbolics, for
modeling, simulation, and visualization, all
accessible from WYSIWYG technical documents
that can be exported to LATEX and to XML/ MathML.
Mathematica is another algebra system, not just for
computation but for modeling, simulation,
visualization, development, documentation, and
deployment. As in the case of Maple, Mathematica
notebooks/ documents can be exported to both LATEX
and XML/ MathML.
TEX/ LATEX, MathML, – p. 1 . . . continued
Matlab is an advanced computational environment
providing a high-level programming language and
functions for algorithm development, data analysis
and visualization, and numeric computation. Matlab
serves as the basis for other Mathworks products, for
example, Simulink as well as dozens of application’s
specific toolboxes. Matlab provides exporting
functions to LATEX and XML formats.
An additional small Java class library provides
Matlab scripts for importing Content-MathML
declarations (values, vectors, matrices and function
handles) into the Matlab workspace. The same
library supports exporting Matlab data into Contentand Presentation-MathML.
TEX/ LATEX, MathML, – p. 1 . . . continued
Mathcad is engineering calculation software that
integrates standard mathematical notation, text and
graphs in a single worksheet. Its worksheets can be
exported to XML/ MathML format.
TEX/ LATEX, MathML, – p. 2 . . . continued
Mathcad is engineering calculation software that
integrates standard mathematical notation, text and
graphs in a single worksheet. Its worksheets can be
exported to XML/ MathML format.
And finally, here is a more complete list of
The W3C MathML software
TEX/ LATEX, MathML, – p. 2 LATEX again . . .
Open Source LATEX/ TeX is a professional typesetting and publishing tool
(used by major publishing houses) with extremely detailed page layout; it
is free to use and/ or to modify. There is elegance and efficiency when the
same ASCII source file can produce different outputs; dvi, postscript, and
pdf for printing/ viewing or XML/ MathML for accessible viewing in
browsers. With the use of front-ends for LATEX, there is no need to know
many technical details of this typesetting system. Below, I provide links to
three examples of Open Source front-ends that are easy to install and use.
LATEX distribution is required for their proper installation.
LyX - The Document Processor , available for all platforms;
GNU TeX , WYSIWYW (what you see is what you want) TeXmacs
editor for scientists, available for all platforms;
Kile – an integrated LATEXeditor for the KDE desktop environment.
KDE is available for many architectures such as PC, PowerPC (Mac
for example) and SPARC.
TEX/ LATEX, MathML, – p. 2 Source codes for LATEX and html
LATEX
\documentclass{article}
\begin{document}
Hello World!
\end{document}
◭
LATEX output
Hello World !
html
< html >
< head >
< title >Hello HTML
< / title >
< / head >
< body >
Hello World!
< / body >
< / html >
browser’s rendering
Hello World !
TEX/ LATEX, MathML, – p. 2 Codes for LATEX and MathML ◭
LATEX
\documentclass{article}
\begin{document}
$aˆ4 + 5$.
\end{document}
LATEX output
a4 + 5.
MathML
browser’s rendering
< p > < math xmlns=
"http:/ / www.w3.org/ 1998/ Math/ MathML"
display="inline" >
< msup > < mi >a< / mi >
< mn >4< / mn > < / msup >
4
a
+ 5.
< mo >+< / mo >
< mn >5< / mn >
< / math >.
< / p >
TEX/ LATEX, MathML, – p. 2 Prose source example of LATEX ◭
\tableofcontents
\section{Nested Lists \& A Table}
\subsection{Nested Lists}
Two kinds of lists:
\begin{itemize}
\item First item
\begin{enumerate}
\item Sub item
\item Sub item
\end{enumerate}
\item Second item
\end{itemize}
\subsection{A Table}
\begin{tabular}{ccc}
one & two & three \\
1 & 2 & 3
\end{tabular}
\section{A Citation}
See \cite{abc}.
\begin{thebibliography}{99}
\bibitem{abc} A bib entry.
\end{thebibliography}
TEX/ LATEX, MathML, – p. 2 Prose XML source example ◭ ◮
< h3 >Contents< / h3 >
< div >
1 < a href="#sec1" >Nested Lists & A Table< / a >
< br/ > 1.1 < a href="#sec1.1" >Nested Lists< / a >
< br/ > 1.2 < a href="#sec1.2" >A Table< / a >
< br/ >2 < a href="#sec2" >A Citation< / a >
< / div >
< h3 >1 < a id="sec1"/ >Nested Lists & A Table< / h3 >
< h4 >1.1 < a id="sec1.1"/ >Nested Lists< / h4 >
< p >Two kinds of lists: < / p >
< ul >
< li >First item
< ol >< li >Sub item < / li >< li >Sub item< / li >< / ol >
< / li >
< li >Second item< / li >
< / ul >
< h4 >1.2 < a id="sec1.2"/ >A Table< / h4 >
< div >
< table >
< colgroup >
< col/ >
< col/ >
TEX/ LATEX, MathML, – p. 2 continued. . .
◭
< col/ >
< / colgroup >
< tr >
< td >one< / td >
< td >two< / td >
< td >three< / td >
< / tr >
< tr >
< td >1< / td >
< td >2< / td >
< td >3< / td >
< / tr >
< / table >
< / div >
< h3 >2
< a id="sec2"/ >A Citation< / h3 >
< p >See [< a href="#bib" >1< / a >]. < / p >
< h3 >< a id="sec3"/ >References< / h3 >
< div >
< p > [1] < a id="bib"/ >A bib entry. < / p >
< / div >
TEX/ LATEX, MathML, – p. 2 LATEX code ◭ ◮
\Draw
\Scale(0.5,0.5)
{ \Line(6,26)
\Line(35,38)
\Line(0,14) }
{ \Move(52, 0) \Line(-6,26)
\Line(-35,38) \Line( 0,14) }
{ \Move( 0,26) \Line( 6,14)
\Line( 40,9) \Line( 6,20) }
{ \Move(52,26) \Line(-6,14)
\Line(-40,9) \Line(-6,20) }
\Move(26,29) \PaintOval(12,23)
\Move(0,26) \PaintOval(6,9)
\Move(0,12) \PaintOval(3,3)
\EndDraw
TEX/ LATEX, MathML, – p. 2 XML code ◭
< !DOCTYPE svg PUBLIC "-/ / W3C/ / DTD SVG 1.0/ / EN"
"http:/ / www.w3.org/ TR/ 2001/ REC-SVG-20010904/ DTD/ svg10.dtd" >
< svg xmlns="http:/ / www.w3.org/ 2000/ svg" stroke="black" >
< polyline points="10,88 16,62 51,24 51,10" fill="none"/ >
< polyline points="62,88 56,62 21,24 21,10" fill="none"/ >
< polyline points="10,62 16,48 56,39 62,19" fill="none"/ >
< polyline points="62,62 56,48 16,39 10,19" fill="none"/ >
< ellipse cx="36" cy="59" rx="12" ry="23"/ >
< ellipse cx="36" cy="33" rx="6" ry="9"/ >
< ellipse cx="36" cy="21" rx="3" ry="3"/ >
< / svg >
TEX/ LATEX, MathML, – p. 2 Typical screen in MathType editor ◭
TEX/ LATEX, MathML, – p. 3 Typical screen in Scientific Word editor ◭
TEX/ LATEX, MathML, – p. 3 Typical screen in OpenOffice editor ◭
TEX/ LATEX, MathML, – p. 3 Typical screen in Amaya editor ◭
TEX/ LATEX, MathML, – p. 3
TEX/LATEX, MathML, TeX4ht
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