Electronic Resource

Making Presentation Math Computable

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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.

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Availability

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Detail Information

Series Title

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Call Number

XVIII, 197

Publisher

Springer Vieweg Wiesbaden : Springer Vieweg Wiesbaden., 2023

Collation

XVIII, 197

Language

English

ISBN/ISSN

-

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

1

Subject(s)

Mathematical
Artificial Intelligence
Computational Engineering

Specific Detail Info

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Statement of Responsibility

André Greiner-Petter

Other Information

Cataloger

Suwardi

Source

https://link.springer.com/book/10.1007/978-3-658-40473-4

Validator

Candra

Digital Object Identifier (DOI)

https://doi.org/10.1007/978-3-658-40473-4

Journal Volume

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Journal Issue

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Subtitle

-

Parallel Title

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