publication . Other literature type . Research . 2017

Some Steps Towards A Theory Of Expressions

Colignatus, Thomas;
Open Access
  • Published: 06 Mar 2017
  • Publisher: Zenodo
Abstract
The mathematical "theory of expressions" better be developed in a general fashion, so that it can be referred to in various applications. The paper discusses an example when there is a confusion between syntax (unevaluated) and semantics (evaluated), when substitution causes a contradiction. However, education should not wait till such a mathematical theory of expressions is fully developed. Computer algebra is sufficiently developed to support and clarify these issues. Fractions <em>y</em> / <em>x</em> can actually be abolised and replaced with <em>y</em> <em>x</em><sup><em>H</em></sup> with <em>H</em> = -1 as a constant like exponential number <em>e</em> or im...
Subjects
free text keywords: Expression, fraction, syntax, semantics, substitution, numerator, denominator, H, computer algebra, Mathematica, mathematics education
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Zenodo
Other literature type . 2017
Provider: Datacite
ZENODO
Research . 2017
Provider: ZENODO
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