Making Presentation Math Computable A Context-Sensitive Approach for Translating LaTeX to Computer Algebra Systems

This Open-Access-book addresses the issue of translating mathematical expressions from LaTeX to the syntax of Computer Algebra Systems (CAS). Over the past decades, especially in the domain of Sciences, Technology, Engineering, and Mathematics (STEM), LaTeX has become the de-facto standard to typese...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Greiner-Petter, André
Format: E-Book
Sprache:Englisch
Veröffentlicht: Wiesbaden Springer Nature 2023
Springer Vieweg. in Springer Fachmedien Wiesbaden GmbH
National Institute of Informatics
Ausgabe:1
Schlagworte:
Algebra
Artificial intelligence
Computable Mathematics
Computational intelligence
Computer Algebra Systems
Computer science
Computer Technology
Computing and Information Technology
Engineering
Engineering mathematics
Engineering—Data processing
LaTeX
Mathematical Information Retrieval
Mathematics
Mathematics and Science
Maths for engineers
Nonfiction
Presentation to Computation Translations
Presentational Mathematics
Technology
Technology, Engineering, Agriculture, Industrial processes
Technology: general issues
ISBN:3658404736, 9783658404734, 3658404728, 9783658404727
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:This Open-Access-book addresses the issue of translating mathematical expressions from LaTeX to the syntax of Computer Algebra Systems (CAS). Over the past decades, especially in the domain of Sciences, Technology, Engineering, and Mathematics (STEM), LaTeX has become the de-facto standard to typeset mathematical formulae in publications. Since scientists are generally required to publish their work, LaTeX has become an integral part of today's publishing workflow. On the other hand, modern research increasingly relies on CAS to simplify, manipulate, compute, and visualize mathematics. However, existing LaTeX import functions in CAS are limited to simple arithmetic expressions and are, therefore, insufficient for most use cases. Consequently, the workflow of experimenting and publishing in the Sciences often includes time-consuming and error-prone manual conversions between presentational LaTeX and computational CAS formats. To address the lack of a reliable and comprehensive translation tool between LaTeX and CAS, this thesis makes the following three contributions. First, it provides an approach to semantically enhance LaTeX expressions with sufficient semantic information for translations into CAS syntaxes. Second, it demonstrates the first context-aware LaTeX to CAS translation framework LaCASt. Third, the thesis provides a novel approach to evaluate the performance for LaTeX to CAS translations on large-scaled datasets with an automatic verification of equations in digital mathematical libraries. This is an open access book.
Bibliographie:Electronic reproduction. Dordrecht: Springer Vieweg, 2022. Requires the Libby app or a modern web browser.
ISBN:3658404736
9783658404734
3658404728
9783658404727
DOI:10.1007/978-3-658-40473-4