Results 61 to 70 of about 5,602,584 (374)
, 2015 We describe a general framework for notions of commutativity based on enriched category theory. We extend Eilenberg and Kelly's tensor product for categories enriched over a symmetric monoidal base to a tensor product for categories enriched over a ...
Franco, Ignacio López, Garner, Richard
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FEBS Open Bio, EarlyView.The tumor microenvironment is a dynamic, multifaceted complex system of interdependent cellular, biochemical, and biophysical components. Three‐dimensional in vitro models of the tumor microenvironment enable a better understanding of these interactions and their impact on cancer progression and therapeutic resistance.
Salma T. Rafik +3 more
wiley +1 more source
Real Color Image Denoising Using t-Product- Based Weighted Tensor Nuclear Norm Minimization
IEEE Access, 2019 Color images can be seen as third-order tensors with column, row and color modes. Considering two inherent characteristics of a color image including the non-local self-similarity (NSS) and the cross-channel correlation, we extract non-local similar ...
Min Liu, Xinggan Zhang, Lan Tang
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Tensor of Order Two and Geometric Properties of 2D Metric Space
Mathematics, 2022 A 2D metric space has a limited number of properties through which it can be described. This metric space may comprise objects such as a scalar, a vector, and a rank-2 tensor. The paper provides a comprehensive description of relations between objects in
Tomáš Stejskal +2 more
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Tensor products and statistics
Linear Algebra and its Applications, 1994 AbstractA dictionary between operator-based and matrix-based languages in multivariate statistical analysis is proposed. Then this formulary is applied to asymptotic factorial analyses, especially for giving asymptotic covariance matrices and operators in an explicit form.
Sylvie Viguier-Pla +2 more
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Tensor structure for Nori motives
, 2019 We construct a tensor product on Freyd's universal abelian category attached to an additive tensor category or a tensor quiver and establish a universal property.
Barbieri-Viale, Luca +2 more
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FEBS Open Bio, EarlyView.20 Hz mechanical vibration induced A431 cancer cells' apoptosis without such effect on other healthy cell lines of L929 and C2C12. Lowered glucose consumption is observed specifically in A431. The expressions of ROS, HMGB1, and HSP1 levels initially increase and subsequently decrease in the cancer cell line, as opposed to L929 and C2C12, which ...
Wresti L. Anggayasti +5 more
wiley +1 more source
A randomized tensor singular value decomposition based on the t‐product [PDF]
Numerical Linear Algebra with Applications, 2016 The tensor SVD (t‐SVD) for third‐order tensors, previously proposed in the literature, has been applied successfully in many fields, such as computed tomography, facial recognition, and video completion.
Jiani Zhang +3 more
semanticscholar +1 more source
Tensor Products and Computability
Journal of Symbolic Computation, 1994 AbstractWe consider the problem of computability in tensor products of modules over a ring. We exhibit a finite local ring A and a pair of A-modules, given explicitly by generators and relations, with the following property. The operations in each module are computable in polynomial time, but equality in their tensor product is undecideable.
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Operator synthesis and tensor products [PDF]
Transactions of the American Mathematical Society, 2015 We show that Kraus’ property S σ S_{\sigma } is preserved under taking weak* closed sums with masa-bimodules of finite width and establish an intersection formula for weak* closed spans of tensor products, one of whose terms is a masa-bimodule of finite width.
Eleftherakis, G. K., Todorov, I. G.
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