Results 1 to 10 of about 4,781,981 (326)
Relative tensor products for modules over von Neumann algebras [PDF]
, 2003 We give an overview of relative tensor products (RTPs) for von Neumann algebra modules. For background, we start with the categorical definition and go on to examine its algebraic formulation, which is applied to Morita equivalence and index.
Sherman, David
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Geometric decomposition of the conformation tensor in viscoelastic turbulence [PDF]
Journal of Fluid Mechanics, 2018 This work introduces a mathematical approach to analysing the polymer dynamics in turbulent viscoelastic flows that uses a new geometric decomposition of the conformation tensor, along with associated scalar measures of the polymer fluctuations.
Gayme, Dennice F. +3 more
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Relative Error Tensor Low Rank Approximation [PDF]
Electron. Colloquium Comput. Complex., 2019 We consider relative error low rank approximation of $tensors$ with respect to the Frobenius norm: given an order-$q$ tensor $A \in \mathbb{R}^{\prod_{i=1}^q n_i}$, output a rank-$k$ tensor $B$ for which $\|A-B\|_F^2 \leq (1+ )$OPT, where OPT $= \inf_{\textrm{rank-}k~A'} \|A-A'\|_F^2$.
Song, Zhao +2 more
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Relative Tutte Polynomials of Tensor Products of Coloured Graphs [PDF]
Combinatorics, Probability and Computing, 2013 The tensor product (G1,G2) of a graph G1 and a pointed graph G2 (containing one distinguished edge) is obtained by identifying each edge of G1 with the distinguished edge of a separate copy of G2, and then removing the identified edges. A formula to compute the Tutte polynomial of a tensor product of graphs was originally given by Brylawski.
Diao, Y., Hetyei, G.
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A relative tensor product of subfactors over a modular tensor category [PDF]
Letters in Mathematical Physics, 2017 We define and study a certain relative tensor product of subfactors over a modular tensor category. This gives a relative tensor product of two completely rational heterotic full local conformal nets with trivial superselection structures over a common chiral representation category.
Yasuyuki Kawahigashi
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Relative centers and tensor products of tensor and braided fusion categories [PDF]
Journal of Algebra, 2013 In this paper we study the relative tensor product of module categories over braided fusion categories using, in part, the notion of the relative center of a module category. In particular we investigate the canonical tensor category structure and braiding inherited by the relative tensor product when module categories are themselves tensor/braided. As
J. Greenough
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On the constitutive pseudoscalars of hemitropic micropolar media in inverse coordinate frames [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 The paper is devoted to the constitutive pseudoscalars associated with the theory of hemitropic micropolar continuum. The basic concepts of pseudotensor algebra are presented. The pseudotensor form of the hemitropic micropolar elastic potential is given,
Eugenii V. Murashkin, Yuri N. Radayev
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Flow Classification and Its Application to Fluid Processing [PDF]
MATEC Web of Conferences, 2021 Mathematically, the problem of flow field classification can be analyzed by the eigenanalysis of the deformation-rate tensor; however, such analysis technique have not been commonly applied in fluid processing.
Nakayama Yasuya, Kajiwara Toshihisa
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Nonconvex Tensor Relative Total Variation for Image Completion
Mathematics, 2023 Image completion, which falls to a special type of inverse problems, is an important but challenging task. The difficulties lie in that (i) the datasets usually appear to be multi-dimensional; (ii) the unavailable or corrupted data entries are randomly ...
Yunqing Bai, Jihong Pei, Min Li
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On the use of residual dipolar couplings in multi-state structure calculation of two-domain proteins
Magnetic Resonance Letters, 2022 Residual dipolar couplings (RDCs) are powerful nuclear magnetic resonance (NMR) probes for the structure calculation of biomacromolecules. Typically, an alignment tensor that defines the orientation of the entire molecule relative to the magnetic field ...
Alexandra Born +3 more
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