A complex change of variables for geometrical reasoning
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Stokes, T. and Bulmer, M. (2001) A complex change of variables for geometrical reasoning. Lecture Notes in Computer Science, 2061 . pp. 143-153.
Link to Published Version: http://dx.doi.org/10.1007/3-540-45410-1_9
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Abstract
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.
| Item Type: | Journal Article |
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| Murdoch Affiliation: | School of Chemical and Mathematical Science |
| Publisher: | Springer Verlag |
| Copyright: | 2001 Springer-Verlag Berlin Heidelberg |
| URI: | http://researchrepository.murdoch.edu.au/id/eprint/29418 |
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