Making Presentation Math Computable

A Context-Sensitive Approach for Translating LaTeX to Computer Algebra Systems
1. Auflage 2023
ISBN: 978-3-658-40472-7
Verlag: Springer

Buch, Englisch, 197 Seiten, Format (B × H): 148 mm x 210 mm, Gewicht: 286 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Greiner-Petter, André

Fachgebiete

• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz
• Mathematik | Informatik Mathematik Algebra

Inhaltsverzeichnis

1. Introduction.-2. Mathematical Information Retrieval.-3. Semantification of Mathematical LaTeX.-4. From LaTeX to Computer Algebra Systems.-5. Qualitative and Quantitative Evaluations.-6. Conclusion and Future Work

Über Autor(innen)

Dr. André Greiner-Petter is a postdoctoral researcher at the NII.