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A complex change of variables for geometrical reasoning

Stokes, T. and Bulmer, M. (2001) A complex change of variables for geometrical reasoning. Lecture Notes in Computer Science, 2061 . pp. 143-153.

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We use complex vectors in geometrical reasoning, specifically automated theorem proving. The calculations are embedded in Clifford algebras, but commutative polynomial techniques can be used. Using the Gröbner basis package in the computer algebra package Maple, this approach is shown to have efficiency benefits in situations where distance and angle relations amongst geometrical entities predominate.

Publication Type: Journal Article
Murdoch Affiliation: School of Chemical and Mathematical Science
Publisher: Springer Verlag
Copyright: 2001 Springer-Verlag Berlin Heidelberg
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