Results 61 to 70 of about 5,741,942 (395)
In the first part of this paper we study prime ideals of the tensor product of the central closures of prime algebras. It is shown that some of the prime ideals are centrally generated. This extends a result of Nicholson and Watters [S], and is applied to obtain a simpler and more “visible” proof of Krempa’s Lemma 3.4 in [2] which plays an important ...
Edmund Puczyłowski, Eric Jespers
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A constructive arbitrary-degree Kronecker product decomposition of tensors [PDF]
We propose the tensor Kronecker product singular value decomposition~(TKPSVD) that decomposes a real $k$-way tensor $\mathcal{A}$ into a linear combination of tensor Kronecker products with an arbitrary number of $d$ factors $\mathcal{A} = \sum_{j=1}^R ...
Batselier, Kim, Wong, Ngai
core +2 more sources
AbstractWe give sufficient conditions for the description of the isometry group of a tensor product in terms of the isometry groups of the factors. A slightly more general theory involving tensor products and saturated linear groups is developed for this purpose.
Joel W. Robbin, Shmuel Friedland
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UNEXPECTED SUBSPACES OF TENSOR PRODUCTS [PDF]
We describe complemented Copies Of l(2) both in C(K-1)circle times C-pi(K-2) when at least one of the compact spaces K-i is not scattered and in L-1(mu(1))circle times L-is an element of(1)(mu(2)) when at least one of the measures is not atomic. The corresponding local construction gives uniformly complemented copies of the l(2)(n) in c(0)circle times ...
Cabello Sánchez, Félix+2 more
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The power of microRNA regulation—insights into immunity and metabolism
MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto+2 more
wiley +1 more source
Robust Set Stability for Switched Boolean Networks Under One-Bit Function Perturbation
This paper investigates robust set stability for the switched Boolean networks (SBNs) with arbitrary switching signal affected by one-bit function perturbation (OBFP).
Lei Deng, Jinsuo Wang, Fengxia Zhang
doaj +1 more source
Tensor products of operator systems [PDF]
41 pages Version III Journal of Functional Analysis (to appear)
Kavruk, A.+3 more
openaire +3 more sources
Breast tumor samples scored for metabolic deregulation (M1 to M3) were given a hypoxia score (HS). The highest HS occurred in patients with strongest metabolic deregulation (M3), supporting tumor aggressiveness. HS correlated with the highest number of metabolic pathways in M1. This suggests hypoxia to be an early event in metabolic deregulation.
Raefa Abou Khouzam+2 more
wiley +1 more source
One-Bit Function Perturbation Impact on Robust Set Stability of Boolean Networks with Disturbances
This paper investigates the one-bit function perturbation (OBFP) impact on the robust set stability of Boolean networks with disturbances (DBNs). Firstly, the dynamics of these networks are converted into the algebraic forms utilizing the semi-tensor ...
Lei Deng, Xiujun Cao, Jianli Zhao
doaj +1 more source
T product Tensors Part II: Tail Bounds for Sums of Random T product Tensors [PDF]
This paper is the Part II of a serious work about T product tensors focusing at establishing new probability bounds for sums of random, independent, T product tensors. These probability bounds characterize large deviation behavior of the extreme eigenvalue of the sums of random T product tensors.
arxiv