Results 11 to 20 of about 5,741,942 (395)
On the tensor product of linear sites and Grothendieck categories [PDF]
arXiv, 2016 We define a tensor product of linear sites, and a resulting tensor product of Grothendieck categories based upon their representations as categories of linear sheaves. We show that our tensor product is a special case of the tensor product of locally presentable linear categories, and that the tensor product of locally coherent Grothendieck categories ...
Wendy Lowen +2 more
arxiv +3 more sources
Unbraiding the braided tensor product [PDF]
Journal of Mathematical Physics, 2000 We show that the braided tensor product algebra $A_1\underline{\otimes}A_2$ of two module algebras $A_1, A_2$ of a quasitriangular Hopf algebra $H$ is equal to the ordinary tensor product algebra of $A_1$ with a subalgebra of $A_1\underline{\otimes}A_2 ...
Alekseev A. Yu. +25 more
core +5 more sources
The balanced tensor product of module categories [PDF]
Kyoto Journal of Mathematics, 2018 The balanced tensor product M (x)_A N of two modules over an algebra A is the vector space corepresenting A-balanced bilinear maps out of the product M x N.
Douglas, Christopher L. +2 more
core +2 more sources
On tensor products of operators [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1969 Takayuki Furuta, Ritsuo Nakamoto
openalex +3 more sources
MIONet: Learning multiple-input operators via tensor product [PDF]
SIAM Journal on Scientific Computing, 2022 As an emerging paradigm in scientific machine learning, neural operators aim to learn operators, via neural networks, that map between infinite-dimensional function spaces. Several neural operators have been recently developed.
Pengzhan Jin, Shuai Meng, Lu Lu
semanticscholar +1 more source
Dynamic Tensor Product Regression [PDF]
Neural Information Processing Systems, 2022 In this work, we initiate the study of \emph{Dynamic Tensor Product Regression}. One has matrices $A_1\in \mathbb{R}^{n_1\times d_1},\ldots,A_q\in \mathbb{R}^{n_q\times d_q}$ and a label vector $b\in \mathbb{R}^{n_1\ldots n_q}$, and the goal is to solve ...
Aravind Reddy, Zhao Song, Licheng Zhang
semanticscholar +1 more source
AIMS Mathematics, 2023 In this paper, we investigate the mixed solution of reduced biquaternion matrix equation $ \sum\limits_{i = 1}^nA_iX_iB_i = E $ with sub-matrix constraints.
Yimeng Xi +4 more
doaj +1 more source
Set Stability and Set Stabilization of Boolean Control Networks Avoiding Undesirable Set
Mathematics, 2021 The traditional set stability of Boolean networks (BNs) refers to whether all the states can converge to a given state subset. Different from the existing results, the set stability investigated in this paper is whether all states in a given initial set ...
Wen Liu, Shihua Fu, Jianli Zhao
doaj +1 more source
Introduction of Frame in Tensor Product of $n$-Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2021 We study the concept of frame in tensor product of $n$-Hilbert spaces as tensor product of $n$-Hilbert spaces is again an $n$-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space.
Prasenjit Ghosh, Tapas Samanta
doaj +1 more source
Robust Output Tracking of Boolean Control Networks over Finite Time
Mathematics, 2022 With an increase in tracking time, the operating cost of the controller will increase accordingly. Considering the biological applications of Boolean control networks (BCNs), it is necessary to study the control problem of BCNs over finite time.
Yuan Zhao +3 more
doaj +1 more source