Results 31 to 40 of about 245 (169)
IEEE Access, 2021 Geometric Algebra (GA) has proven to be an advanced language for mathematics, physics, computer science, and engineering. This review presents a comprehensive study of works on Quaternion Algebra and GA applications in computer science and engineering ...
Eduardo Bayro-Corrochano
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SciPost Physics, 2022 Quantum geometry has emerged as a central and ubiquitous concept in quantum sciences, with direct consequences on quantum metrology and many-body quantum physics.
Bruno Mera, Anwei Zhang, Nathan Goldman
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Noncommutative Vieta theorem in Clifford geometric algebras
Mathematical Methods in the Applied Sciences, 2023 In this paper, we discuss a generalization of Vieta theorem (Vieta's formulas) to the case of Clifford geometric algebras. We compare the generalized Vieta formulas with the ordinary Vieta formulas for characteristic polynomial containing eigenvalues. We discuss Gelfand–Retakh noncommutative Vieta theorem and use it for the case of geometric algebras ...
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On Some Lie Groups in Degenerate Clifford Geometric Algebras
Advances in Applied Clifford Algebras, 2023 31 ...
Filimoshina, Ekaterina, Shirokov, Dmitry
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Clifford's Algebraic Approach in Determining the Direction of Qibla
NoumericoWhile classical methods and hisab methods based on spherical trigonometry and vector algebra are commonly used, this article introduces a more elegant, purely geometric alternative using Clifford Algebra (within the framework of Geometric Algebra).
Muhamad Imam Mutamaqin +1 more
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Clifford algebra, geometric algebra, and applications
, 2009 117 pages, 14 figures; some sections are currently ...
Lundholm, Douglas, Svensson, Lars
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On Matrix Representations of Geometric (Clifford) Algebras
Journal of Geometry and Symmetry in Physics, 2017 The author deals with the theory of representations of geometric (Clifford) algebras with real square matrices. In Sections 2--5, the author reviews some fundamental and concrete facts about matrix representations. In the remaining part of the paper, the author present general definitions of isometries (like direct isometries and indirect isometries ...
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Geometric Data Manipulation with Clifford Algebras and Möbius Transforms [PDF]
Advances in Applied Clifford Algebras, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guillemard, Mijail +2 more
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Analyzing three-player quantum games in an EPR type setup.
PLoS ONE, 2011 We use the formalism of Clifford Geometric Algebra (GA) to develop an analysis of quantum versions of three-player non-cooperative games. The quantum games we explore are played in an Einstein-Podolsky-Rosen (EPR) type setting.
James M Chappell +2 more
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Implementation and Evaluation of Medical Imaging Techniques Based on Conformal Geometric Algebra
International Journal of Applied Mathematics and Computer Science, 2020 Medical imaging tasks, such as segmentation, 3D modeling, and registration of medical images, involve complex geometric problems, usually solved by standard linear algebra and matrix calculations. In the last few decades, conformal geometric algebra (CGA)
Franchini Silvia +3 more
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