Working paper Open Access
Some steps towards a theory of expressions
Colignatus, Thomas
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 y / x can actually be abolised and replaced with y xH with H = -1 as a constant like exponential number e or imaginary number i.
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- Publication date:
- March 6, 2017
- DOI:
-
- Keyword(s):
- Expression, fraction, syntax, semantics, substitution, numerator, denominator, H, computer algebra, Mathematica, mathematics education
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- License (for files):
- Creative Commons Attribution Non Commercial No Derivatives 4.0 International