Results 71 to 80 of about 3,114,682 (304)
Tensor methods in data analysis of chromatography/mass spectroscopy-based plant metabolomics
Plant Methods, 2023 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
Natural Frequencies of Levodopa‐Induced Dyskinesia in Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives Abnormal involuntary movements, known as dyskinesias, are common complications of levodopa treatment in patients with Parkinson's disease and can significantly impair quality of life. The underlying pathophysiology remains unclear, and current therapeutic options are limited.
Ioannis U. Isaias +3 more
wiley +1 more source
Tensor products in the category of topological vector spaces are not associative [PDF]
, 2003 summary:We show by example that the associative law does not hold for tensor products in the category of general (not necessarily locally convex) topological vector spaces.
Glöckner, Helge, Helge Glöckner
core
Scalar Products and Decomposition of Tensor Spaces
, 2014 A new definition of rank for a tensor allows new decompositions for tensor algebras and some properties.
FINESCHI, FRANCO
core +1 more source
Frame-indifference of cross products, rotations, and the permutation tensor
Theoretical and Applied Mechanics Letters, 2020 : 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
Rocky Mountain Journal of Mathematics, 2004 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
Diabetes‐Associated Cognitive Impairment: Pathophysiology and Emerging Therapies
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Diabetes‐associated cognitive impairment (DACI) is a common yet underrecognized condition, manifesting along a spectrum from mild cognitive impairment to dementia. DACI encompasses patients who develop vascular dementia (VaD) or Alzheimer's disease (AD) with diabetes as a risk factor; however, in certain patients, particularly those lacking ...
Osman Corbali +4 more
wiley +1 more source
⁎-freeness in finite tensor products
Advances in Applied Mathematics, 2017 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
Diffusion Basis Spectrum Imaging of Tissue Microstructure and Early Treatment in Multiple Sclerosis
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Conventional MRI cannot resolve the coexisting pathological processes within multiple sclerosis tissue. Diffusion Basis Spectrum Imaging decomposes the diffusion signal into fiber, cell, and hindered ratios indexing axonal integrity, cellularity, and extracellular space, respectively.
Apisit Kaewsanit +10 more
wiley +1 more source
Tensor products of random unitary matrices
, 2012 Tensor products of M random unitary matrices of size N from the circular unitary ensemble are investigated. We show that the spectral statistics of the tensor product of random matrices becomes Poissonian if M = 2, N become large or M become large and N =
Życzkowski, Karol +4 more
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