Results 131 to 140 of about 245 (169)
A spatio-temporal graph diffusion and federated contrastive learning framework for cross-institutional educational evaluation. [PDF]
Sci RepFang X, Xiao F.
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AI-driven multimodal precision diagnosis and progression prediction of Alzheimer's disease: Data fusion mechanisms, clinical applications, and research trends (2017-2024). [PDF]
Digit HealthZhou W +7 more
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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 ...
Stéphane Breuils +2 more
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Applications of Clifford’s Geometric Algebra [PDF]
Advances in Applied Clifford Algebras, 2013 26 pages, 91 ...
Eckhard Hitzer +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, Hitzer Eckhard
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Clifford, or Geometric, Algebra
2016AbstractIn this chapter, the so-called geometric algebras, or Clifford algebras, are introduced, with special attention to the universal Clifford algebras. As well as providing the standard definition of a Clifford algebra via the so-called Clifford mapping, this chapter presents an explicit construction of the universal Clifford algebra associated ...
Jayme Vaz, Vaz Jayme
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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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