Digital Library of Mathematical Functions
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Organization

Chapters

Each chapter represents an important special function, family of special functions, or general topic helpful for using or understanding special functions and their applications. Each chapter is being written under contract with specialists in the topic. Likewise, each chapter will be validated under contract with a specialist. A sample chapter on Airy Functions is available for viewing.

Each chapter is broken down into major sections such as Mathematical Properties, Computation and Applications. Within each section are subsections dealing with various aspects of the topic, such as Notation, Differential Equation or Software. Finally, each subsection is broken down into subsubsections which appear as individual HTML pages.

Navigation

At the top of each page, and at the bottom of longer pages, are links to aid in navigating around the site or chapter. Next and Previous links take you to the next or previous content-containing page in the logical sequence (skipping over redundant tables of contents). Context is reinforced by displaying the sequence of parents of each sectional unit and provides a link to allow moving up to, for example, the subsection which contains the current subsubsection, as well as the containing section and chapter.

Meta-Information

Most sectional units, and all equations, have meta-information accessible by clicking on the `about' link, the equation number, or the equation itself. This meta-information provides extra detail about each element. For example, there are detailed references which point to the exact reference for an equation or how it can be derived. Each element will also have attributes assigned which describe its role; this information will be used in the indexing capabilites. The LaTeX source (and eventually an OpenMath representation) for each formula is also available.

Index and Search

The Index is being constructed from attributes assigned to sections and formulas. It will also contain glossary entries and notational entries. There will be a browsable Index, much like the index of a book, but with page numbers replaced by links taking the user directly to the relevent section. The Search capability is based on the same information but will automatically find relevant entries based on a user's keywords.

Technologies

In its current form, we have attempted to maximize portability and accessiblity in the Mockup, although we have made heavy use of graphics to present the formulas. Otherwise, we have declined to make use of Java, Javascript, MathML or Dynamic HTML in the mockup, although these, particularly MathML, will be useful technologies in the future. In any case, accessibility for all users will always be a primary concern. See the mockup description for more details.

VRML

We have used both VRML versions 1 and 2 in presenting dynamic visualizations. Although VRML2 contains more features and is slightly more compact, compatible VRML2 browser plugins are less common than VRML1 viewers. The VRML Repository is a good source of information about VRML viewers for various platforms.


Last Modified Thu, Oct 14, 2004