Results 81 to 90 of about 245,475 (190)
ComputationThe article discusses the application of quaternion Fourier transforms and quaternion algebra to transform Maxwell’s equations. This makes it possible to present the problem of magnetotelluric sensing (MTS) in a more convenient form for research. Studies
Syrym E. Kasenov +3 more
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Some properties of octonion and quaternion algebras
, 2006 In 1988, J.R. Faulkner has given a procedure to construct an octonion algebra on a finite dimensional unitary alternative algebra of degree three over a field K. Here we use a similar procedure to get a quaternion algebra.
Bovdi, Victor
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IEEE AccessThis article addresses the challenge of modeling and controlling load-assist exoskeletons operating under dynamic and uncertain conditions. Traditional approaches often rely solely on dual quaternions for kinematic modeling, limiting their applicability ...
Angel Eduardo Zamora-Suarez +3 more
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On application of algebra of quaternions I [PDF]
International Journal of Scientific and Research Publications (IJSRP), 2021 Emran Sasi Althabit, Ismail.M. Mohamed
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On some $p$-adic and mod $p$ representations of quaternion algebra over $\mathbb{Q}_p$
, 2023 Let $D$ be the non-split quaternion algebra over $\mathbb{Q}_p$. We prove that a class of admissible unitary Banach space representations of $D^{\times}$ of global origin are topologically of finite length.Comment: 38 pages. Comments welcome
Wang, Haoran, Hu, Yongquan
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A Simultaneous Decomposition for a Quaternion Tensor Quaternity with Applications
MathematicsQuaternion tensor decompositions have recently been the center of focus due to their wide potential applications in color data processing. In this paper, we establish a simultaneous decomposition for a quaternion tensor quaternity under Einstein product.
Jia-Wei Huo, Yun-Ze Xu, Zhuo-Heng He
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, 2013 International audienceIn the paper, we present the Reissner–Simo beam theory in which the rotations are represented by quaternions. From the generalized virtual work principle, where the unity constraint of the rotational quaternion is properly ...
Zupan, Eva, Saje, Miran, Zupan, Dejan
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Quaternionic Bundles on Algebraic Spheres
Rocky Mountain Journal of Mathematics, 1996 It has remained an open question for many years whether there is a bijection between algebraic and topological vector bundles on spheres. If one denotes by \(\mathbb{F}\) one of the (skew) fields \(\mathbb{R}\), \(\mathbb{C}\) or \(\mathbb{H}\) and by \(A_n\) the coordinate ring \(\mathbb{R}[x_0,\dots,x_n]/(\sum x^2_1-1)\) of the sphere, then the more ...
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Orders of quaternion algebras with involution
Journal of Number Theory, 2018 We introduce the notion of maximal orders over quaternion algebras with orthogonal involution and give a classification over local fields, and a partial classification over algebraic number fields.
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