Results 21 to 30 of about 251 (170)
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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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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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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On Some Lie Groups in Degenerate Clifford Geometric Algebras
Advances in Applied Clifford Algebras, 2023 31 ...
Filimoshina, Ekaterina, Shirokov, Dmitry
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Geometric Algebra Quantum Gate Decomposition
AxiomsQuantum gates are traditionally described using matrix and tensor-product formalisms, representations that provide limited geometric intuition. In this work, we develop a formulation of the Pauli and Clifford groups within the complex Geometric Algebra ...
Youssef Amraoui, Zeno Toffano
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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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New spinor classes on the Graf-Clifford algebra
Journal of High Energy Physics, 2018 Pinor and spinor fields are sections of the subbundles whose fibers are the representation spaces of the Clifford algebra of the forms, equipped with the Graf product.
R. Lopes, R. da Rocha
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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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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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A tropical version of Martens' theorem for metric graphs
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We study the conjecture stated by Jensen and Len on a tropical version on Martens' theorem via the Brill–Noether rank of a tropical curve. We recall Coppens' counterexample of Martens‐special chain of cycles, and we generalize the construction defining another class of graphs, Martens‐special trees of cycles, for which the conjecture does not ...
Giusi Capobianco, Angelina Zheng
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