Geometric Reasoning with Geometric Algebra
Identifieur interne : 009086 ( Main/Exploration ); précédent : 009085; suivant : 009087Geometric Reasoning with Geometric Algebra
Auteurs : Dongming WangSource :
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Abstract
This chapter starts with an introduction to Clifford algebra for Euclidean geometry and shows how geometric theorems can be proved automatically in the Clifford algebra formalism. A short review of available approaches is given and examples are provided. We report an experiment which demonstrates how identities in Clifford algebra can be effectively proved using the induction principle with heuristic simplification.
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Le document en format XML
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<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>automated proof of identity</term>
<term>clifford algebra</term>
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<front><div type="abstract" xml:lang="en" wicri:score="1364">This chapter starts with an introduction to Clifford algebra for Euclidean geometry and shows how geometric theorems can be proved automatically in the Clifford algebra formalism. A short review of available approaches is given and examples are provided. We report an experiment which demonstrates how identities in Clifford algebra can be effectively proved using the induction principle with heuristic simplification.</div>
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<tree><noCountry><name sortKey="Wang, Dongming" sort="Wang, Dongming" uniqKey="Wang D" first="Dongming" last="Wang">Dongming Wang</name>
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