Results 11 to 20 of about 1,958 (231)
B-Spline Pythagorean Hodograph Curves in Clifford Algebras
, 2023 In several recent publications B-spline functions appeared with control points from abstract algebras, e.g. complex numbers, quaternions or Clifford algebras.
Lávička, Miroslav +3 more
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Sobre grupos clásicos de la física matemática
Selecciones Matemáticas, 2020 Comenzando con las matrices introducidas por Pauli y Dirac en 1928, presentamos una versión amigable y unificada de los grupos clásicos de la Física Matemática como subgrupos de álgebras geométricas reales creadas por Clifford en 1879, la versión ...
Edgar Vera Saravia
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Shorter quantum circuits via single-qubit gate approximation [PDF]
Quantum, 2023 We give a novel procedure for approximating general single-qubit unitaries from a finite universal gate set by reducing the problem to a novel magnitude approximation problem, achieving an immediate improvement in sequence length by a factor of 7/9 ...
Vadym Kliuchnikov +4 more
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Conformal Mappings Revisited in the Octonions and Clifford Algebras of Arbitrary Dimension [PDF]
, 2020 In this paper we revisit the concept of conformality in the sense of Gauss in the context of octonions and Clifford algebras. We extend a characterization of conformality in terms of a system of partial differential equations and differential forms using
Kraußhar, Rolf Sören
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Contractions on ranks and quaternion types in clifford algebras
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 In this paper we consider expressions in real and complex Clifford algebras, which we call contractions or averaging. We consider contractions of arbitrary Clifford algebra element.
Dmitry S Shirokov
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Clifford-Valued Shearlet Transforms on Cl(P,Q)-Algebras
Journal of Mathematics, 2022 The shearlet transform is a promising and powerful time-frequency tool for analyzing nonstationary signals. In this article, we introduce a novel integral transform coined as the Clifford-valued shearlet transform on Cl(p,q) algebras which is designed to
Firdous A. Shah +2 more
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Topological preons from algebraic spinors
European Physical Journal C: Particles and Fields, 2021 It is demonstrated that many of the assumed rules that govern the structure of a previously proposed topological preon model, in which simple non-trivial braids consisting of three twisted ribbons are mapped to the first generation of leptons and quarks,
Niels G. Gresnigt
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Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras
Nonlinear Analysis, 2022 The aim of the paper is to give a uniform picture of complex, hyperbolic, and quaternion algebras from a perspective of the applied Clifford geometric algebra.
Adolfas Dargys, Artūras Acus
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Euclidean Clifford algebra [PDF]
Advances in Applied Clifford Algebras, 2001 Latex accent in author(s) was introduced Latex commands in abstract were ...
Fernández, V. V. +2 more
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Advances in Applied Clifford Algebras, 2000 LaTeX2e, 28 pages, 3 ...
Heckenberger, I., Schüler, A.
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