Results 131 to 140 of about 251 (170)
Introduction to Clifford's Geometric Algebra
Journal of The Society of Instrument and Control Engineers, 2012 openaire +1 more source
New Applications of Clifford’s Geometric Algebra
Advances in Applied Clifford Algebras, 2022 The authors provide a comprehensive literature review on the progress made on many different areas related to Clifford algebras in the last ten years. The authors review more than 190 references and cover the following topics: \begin{itemize} \item Kinematics and robotics; \item Computer graphics and animation; \item Neural networks and pattern ...
Eckhard Hitzer, Stéphane Breuils
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Applications of Clifford’s Geometric Algebra [PDF]
Advances in Applied Clifford Algebras, 2013 26 pages, 91 ...
Tohru Nitta +2 more
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Representation of Crystallographic Subperiodic Groups in Clifford’s Geometric Algebra [PDF]
Advances in Applied Clifford Algebras, 2013 17 pages, 6 figures, 11 tables.
Eckhard Hitzer
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Clifford algebras and geometric algebra
Advances in Applied Clifford Algebras, 1997Let \(R^{p,q}\) be the universal Clifford algebra associated to a real vector space \(\mathbb{R}^n\), \(n=p+q\), equipped with a nondegenerated symmetric bilinear form \(B\) of signature \((p-q)\). Let \({\mathfrak G}\) be the infinite dimensional geometric algebra as introduced by \textit{D. Hestenes} and \textit{G.
Aragón, G. +2 more
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2021
The monograph is devoted to the fundamental aspects of geometric algebra and closely related issues. The category of Clifford algebras is considered as the conjugate category of vector spaces with a quadratic form. Possible constructions in this category and internal algebraic operations of an algebra with a geometric interpretation are studied.
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The monograph is devoted to the fundamental aspects of geometric algebra and closely related issues. The category of Clifford algebras is considered as the conjugate category of vector spaces with a quadratic form. Possible constructions in this category and internal algebraic operations of an algebra with a geometric interpretation are studied.
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Experiments with Clifford Geometric Algebra Applied to Cryptography
2020 Joint 11th International Conference on Soft Computing and Intelligent Systems and 21st International Symposium on Advanced Intelligent Systems (SCIS-ISIS), 2020The combination of flexibility, simplicity, elegance, and power that is found in Clifford Geometric Algebra (GA) is probably one of the main reasons for growing interest from those willing to explore new algebraic structures for producing many applications in physics, engineering, and computer science.
C Edward Chow
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Geometric equivalence of Clifford algebras
Journal of Mathematical Physics, 2006We motivate a notion of geometric equivalence that is not the usual notion of algebraic equivalence (or isomorphism of Clifford algebra). Using this definition tilting to the opposite metric is a geometric equivalence in contrast to such algebraic equivalences as Cℓ(3,0)≅Cℓ(1,2) which are not geometric.
Botman, David M., Joyce, William P.
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Clifford Algebra to Geometric Calculus
1984Geometric Calculus is a language for expressing and analyzing the full range of geometric concepts in mathematics. Clifford Algebra provides the grammar. Complex number, quaternions, matrix algebra, vector, tensor and spinor calculus and differential forms are integrated in to a single comprehensive system.
David Hestenes, Garret Sobczyk
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