Results 131 to 140 of about 609,367 (341)
Quantum ReportsWe develop detailed quaternionic and octonionic frameworks for quantum computation grounded on normed division algebras. Our central result is to prove the polynomial computational equivalence of quaternionic and complex quantum models: Computation over ...
Johan Heriberto Rúa Muñoz +2 more
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Jordan constants of quaternion algebras over number fields and simple abelian surfaces over fields of positive characteristic [PDF]
, 2020 WonTae Hwang
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Quaternions and Clifford Algebras
, 2022 Quaternions are a type of hypercomplex numbers. Unit quaternions, which describe rotations, were called versors by Hamilton. The concept of versor can be generalized as the product of invertible vectors in the Clifford algebra. Clifford algebras are also named geometric algebras, when referring to the subset of nondegenerate Clifford algebras ...
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Energy Science &Engineering, EarlyView.This figure illustrates the optimal near‐wall treatment schemes (first‐layer height and wall function type) for solid–liquid two‐phase CFD of suspended sediment, which are correlated with particle size and flow velocity. ABSTRACT Near‐wall treatment (boundary‐layer meshing and wall functions) is a major uncertainty in solid–liquid two‐phase CFD of ...
Zichao Zhang +4 more
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Hyperbolicity of Orders of Quaternions Algebras and Group Rings [PDF]
, 2006 S. O. Juriaans A. C. Souza Filho
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Algebras and quaternion defect groups. I
Mathematische Annalen, 1988 The structure of blocks with cyclic defect groups was determined by R. Brauer and E. C. Dade. The author has recently been able to achieve a similar goal for blocks with dihedral, semidihedral or (generalized) quaternion defect groups. The papers under review contain her results for the (generalized) quaternion case.
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An exceptional G(2) extension of the Standard Model from the correspondence with Cayley-Dickson algebras automorphism groups. [PDF]
Sci Rep, 2021 Masi N.
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International Journal for Numerical Methods in Fluids, EarlyView.We introduce new efficient and accurate first order finite volume‐type numerical schemes, for the non‐conservative one‐dimensional blood flow equations with transport, taking into account different velocity profiles. The framework is the flux‐vector splitting approach of Toro and Vázquez‐Cendón (2012), that splits the system in two subsystems of PDEs ...
Alessandra Spilimbergo +3 more
wiley +1 more source
On some mod $p$ representations of quaternion algebra over $\mathbb{Q}_p$ [PDF]
, 2022 Yongquan Hu, Haoran Wang
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