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Growing the Digital Repository of Mathematical Formulae with Generic LaTeX Sources

2015/05/06 by Howard S. Cohl, Moritz Schubotz, Cohl, Howard S. +11
Computer Science · #Digital Libraries (cs.DL) #FOS: Computer and information sciences #Information Retrieval (cs.IR) #Mathematics, Computing, and Information Processing #cs.DL #cs.IR

paper · pdf · doi:10.48550/arxiv.1505.01431

I included an extra unrelated png file in the zip directory and it was falsely mentioned on a page 9. Previously I tried unsuccessfully to fix this. I removed the png file and now it is only 8 pages how it should be

openalex publication_date 2015/05/06 · arxiv created 2015/05/11 · arxiv updated 2015/05/12 · openalex created_date 2022/08/15 · openalex updated_date 2026/07/28

Abstract

One initial goal for the DRMF is to seed our digital compendium with fundamental orthogonal polynomial formulae. We had used the data from the NIST Digital Library of Mathematical Functions (DLMF) as initial seed for our DRMF project. The DLMF input LaTeX source already contains some semantic information encoded using a highly customized set of semantic LaTeX macros. Those macros could be converted to content MathML using LaTeXML. During that conversion the semantics were translated to an implicit DLMF content dictionary. This year, we have developed a semantic enrichment process whose goal is to infer semantic information from generic LaTeX sources. The generated context-free semantic information is used to build DRMF formula home pages for each individual formula. We demonstrate this process using selected chapters from the book "Hypergeometric Orthogonal Polynomials and their q-Analogues" (2010) by Koekoek, Lesky and Swarttouw (KLS) as well as an actively maintained addendum to this book by Koornwinder (KLSadd). The generic input KLS and KLSadd LaTeX sources describe the printed representation of the formulae, but does not contain explicit semantic information. See http://drmf.wmflabs.org.

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