Geometric algebra for conics
type: Item
instance of: scholarly article
title: Geometric algebra for conics
zbMATH Open document ID: 1398.51045
author: Jaroslav Hrdina
author: Aleš Návrat
author: Petr Vašík
published in: Advances in Applied Clifford Algebras
publication date: 2018-08-29T00:00:00Z
review text: The authors define the Geometric Algebra for Conics (GAC) as a special Clifford algebra, together with a special embedding of two-dimensional Euclidean space. This is followed by the inner product representations of all the geometric entities available in GAC; these correspond to all possible conic sections and their intersections. Outer product representations as well as the duality between the inner and outer product representations, as well as GAC transformations, Maple implementation of GAC and examples, are also dealt with.
reviewed by: Victor V. Pambuccian
Mathematics Subject Classification ID: 51N25
Mathematics Subject Classification ID: 15A66
zbMATH DE Number: 6928500
zbMATH Keywords: conformal geometric algebra
zbMATH Keywords: geometric algebra
zbMATH Keywords: Clifford algebra
zbMATH Keywords: conic section
describes a project that uses: CLIFFORD
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: s00006-018-0879-2
OpenAlex ID: W2810175295
cites work: Clifford and Graßmann Hopf algebras via the BIGEBRA package for Maple
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cites work: \(G_{6,3}\) geometric algebra; description and implementation
DOI: 10.1007/S00006-018-0879-2
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description: scientific article; zbMATH DE number 6928500