EAN: 9783658404727

MAKING PRESENTATION MATH COMPUTABLE - ANDRÉ GRE...

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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