Results 51 to 60 of about 2,980,896 (204)
On Tensorial Concomitants and the Non-Existence of a Gravitational Stress-Energy Tensor [PDF]
Based on an analysis of what it may mean for one tensor to depend in the proper way on another, I prove that, under certain natural conditions, there can be no tensor whose interpretation could be that it represents gravitational stress-energy in general
Curiel, Erik
core
Efficient Tensor Robust Principal Analysis via Right-Invertible Matrix-Based Tensor Products
In this paper, we extend the definition of tensor products from using an invertible matrix to utilising right-invertible matrices, exploring the algebraic properties of these new tensor products.
Zhang Huang, Jun Feng, Wei Li
doaj +1 more source
Expression of a Tensor Commutation Matrix in Terms of the Generalized Gell-Mann Matrices
We have expressed the tensor commutation matrix n⊗n as linear combination of the tensor products of the generalized Gell-Mann matrices. The tensor commutation matrices 3⊗2 and 2⊗3 have been expressed in terms of the classical Gell-Mann matrices and the ...
Rakotonirina Christian
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Insulating sets and tensor products in Procesi category
There is not abstract.
Algirdas Kaučikas
doaj +3 more sources
Symmetries of tensor products [PDF]
We 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 ...
Friedland, S., Robbin, J.W.
core +1 more source
Tensor methods in data analysis of chromatography/mass spectroscopy-based plant metabolomics
Plant metabolomics is an important research area in plant science. Chemometrics is a useful tool for plant metabolomic data analysis and processing. Among them, high-order chemometrics represented by tensor modeling provides a new and promising technical
Lili Guo +4 more
doaj +1 more source
Frame-indifference of cross products, rotations, and the permutation tensor
: Under improper transformations, the traditional transformation laws for cross products, the permutation tensor, and rotations are incorrect. For a cross product, using a counter-example the left-hand rule is proved wrong.
Maolin Du
doaj +1 more source
Cohen-Macaulayness of Tensor Products
Let $(R,\fm)$ be a commutative Noetherian local ring. Suppose that $M$ and $N$ are finitely generated modules over $R$ such that $M$ has finite projective dimension and such that $\Tor^R_i(M,N)=0$ for all $i>0$. The main result of this note gives a condition on $M$ which is necessary and sufficient for the tensor product of $M$ and $N$ to be a Cohen-
Khatami, Leila, Yassemi, Siamak
openaire +4 more sources
⁎-freeness in finite tensor products
In this paper, we consider the following question and variants thereof: given $\mathbf D:=\big(a_{1;i}\otimes\cdots\otimes a_{K;i}:i\in I\big)$, a collection of elementary tensor non-commutative random variables in the tensor product of probability spaces $(\mathcal A_1\otimes\cdots\otimes\mathcal A_K,ϕ_1\otimes\cdots\otimesϕ_K)$, when is $\mathbf D$ $*
Benoit Collins +1 more
openaire +3 more sources

