Results 21 to 30 of about 579 (182)

Square root of a multivector in 3D Clifford algebras

Nonlinear Analysis, 2020
The problem of square root of multivector (MV) in real 3D (n = 3) Clifford algebras Cl3;0, Cl2;1, Cl1;2 and Cl0;3 is considered. It is shown that the square root of general 3D MV can be extracted in radicals.
Adolfas Dargys, Artūras Acus
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Spectrum and Analytic Functional Calculus for Clifford Operators via Stem Functions

Concrete Operators, 2021
The main purpose of this work is the construction of an analytic functional calculus for Clifford operators, which are operators acting on certain modules over Clifford algebras.
Vasilescu Florian-Horia
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Computation of Minimal Polynomials and Multivector Inverses in Non-Degenerate Clifford Algebras

Mathematics
Clifford algebras are an active area of mathematical research having numerous applications in mathematical physics and computer graphics, among many others.
Dimiter Prodanov
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Applications of Clifford’s Geometric Algebra [PDF]

Advances in Applied Clifford Algebras, 2013
26 pages, 91 ...
Eckhard Hitzer, Tohru Nitta, Yasuaki Kuroe   +2 more
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Seminormal systems of operators in Clifford environments [PDF]

Opuscula Mathematica, 2017
The primary goal of our article is to implement some standard spin geometry techniques related to the study of Dirac and Laplace operators on Dirac vector bundles into the multidimensional theory of Hilbert space operators.
Mircea Martin
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Global surpluses of spin-base invariant fermions

Physics Letters B, 2015
The spin-base invariant formalism of Dirac fermions in curved space maintains the essential symmetries of general covariance as well as similarity transformations of the Clifford algebra.
Holger Gies, Stefan Lippoldt
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Global Asymptotic Almost Periodic Synchronization of Clifford-Valued CNNs with Discrete Delays

Complexity, 2019
In this paper, we are concerned with Clifford-valued cellular neural networks (CNNs) with discrete delays. Since Clifford algebra is a unital associative algebra and its multiplication is noncommutative, to overcome the difficulty of the noncommutativity
Yongkun Li, Jianglian Xiang
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Circles and Clifford Algebras [PDF]

Functional Analysis and Its Applications, 2004
Consider a smooth map from a neighborhood of the origin in a real vector space to a neighborhood of the origin in a Euclidean space. Suppose that this map takes all germs of lines passing through the origin to germs of Euclidean circles, or lines, or a point. We prove that under some simple additional assumptions this map takes all lines passing though
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Clifford Geometric Algebra-Based Approach for 3D Modeling of Agricultural Images Acquired by UAVs

IEEE Access, 2020
Three-dimensional image modeling is essential in many scientific disciplines, including computer vision and precision agriculture. So far, various methods of creating three-dimensional (3D) models have been considered.
Prince Waqas Khan, Yung-Cheol Byun, Muhammad Ahsan Latif   +2 more
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Some Characterizations for Approximate Biflatness of Semigroup Algebras

Journal of Mathematics, 2023
In this paper, we study an approximate biflatness of l1S, where S is a Clifford semigroup. Indeed, we show that a Clifford semigroup algebra l1S is approximately biflat if and only if every maximal subgroup of S is amenable, ES is locally finite, and l1S
N. Razi, A. Sahami
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