EAN: 9783658404727

Bilder-Quelle: discount24.de - Sport-Freizeit

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.

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17.03.2025 um 13:18 Uhr

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