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

André Greiner-Petter

ISBN 10: 3658404728 / ISBN 13: 9783658404727

Editore: Springer Fachmedien Wiesbaden, 2023

Riguardo questo articolo

Druck auf Anfrage Neuware - Printed after ordering - 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.

Codice articolo 9783658404727

Dati bibliografici

• Titolo: Making Presentation Math Computable : A Context-Sensitive Approach for Translating LaTeX to Computer Algebra Systems
• Editore: Springer Fachmedien Wiesbaden
• Data di pubblicazione: 2023
• Lingua: Inglese
• ISBN 10: 3658404728
• ISBN 13: 9783658404727
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 210 L x 148 A x 12 P (millimetri) 210 millimetri di larghezza per 148 millimetri di altezza per 12 millimetri di profondità
• Peso: 286 grammi

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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