University:
California State University, Northridge
Course:
MATH 382/L | Introduction to Scientific Computing and Lab
Academic year:

2008
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: x - identifiers; + operators; 2 - number. Tokens are combined using layout elements which include: - a row; - superscripts; - 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 Hello HTML Hello World! 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

$a^{4} 4
a
+ 5. + 5$ .

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 ◭ ◮

1 Nested Lists & A Table
1.1 Nested Lists
1.2 A Table
2 A Citation