Results 51 to 60 of about 31,623 (263)
Adenosine triphosphate as a modulator of protein interactions and stability
FEBS Open Bio, EarlyView.ATP is best known as the cell's energy currency, but it also shapes how proteins fold, interact, aggregate and form biomolecular condensates. This review explains the emerging physical principles behind these effects, including weak binding to charged protein regions, magnesium‐dependent behaviour and concentration‐dependent control of protein ...
Shuyuan Tan, Robin Curtis
wiley +1 more source
New Directions for Adult and Continuing Education, EarlyView.ABSTRACT Mental well‐being is central to adult learner success, yet many adult education institutions lack capacity to provide timely and accessible support. This article examines how artificial intelligence (AI) can strengthen mental health–adjacent supports in adult and continuing higher education, with attention to professional practice and ...
Adam L. McClain, Thomas Wade
wiley +1 more source
Linear to multi-linear algebra and systems using tensors
Frontiers in Applied Mathematics and StatisticsIn the past few decades, multi-linear algebra also known as tensor algebra has been adapted and employed as a tool for various engineering applications.
Divyanshu Pandey +2 more
doaj +1 more source
A generalization of Kruskal’s theorem on tensor decomposition
Forum of Mathematics, Sigma, 2023 Kruskal’s theorem states that a sum of product tensors constitutes a unique tensor rank decomposition if the so-called k-ranks of the product tensors are large.
Benjamin Lovitz, Fedor Petrov
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To explore how cerebral hypoxia and Normal‐Appearing White Matter (NAWM) integrity affect MS lesion burden and clinical course. Methods Seventy‐nine MS patients, including 13 clinically isolated syndrome (CIS) patients and 66 relapsing–remitting multiple sclerosis (RRMS) patients, and 44 healthy controls (HCs) were recruited from ...
Xinli Wang +8 more
wiley +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
Computational and Mathematical MethodsThis paper introduces the C-Product Toolbox, a new computational package available for MATLAB and Python, designed to perform operations on third-order tensors using a tensor product known as the reduced c-product.
Pablo Soto-Quiros +2 more
doaj +1 more source
Dimethyl Fumarate, But Not Rituximab, Reduces Serum GFAP Levels and PIRMA in Relapsing–Remitting MS
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Serum neurofilament light chain (sNfL) and glial fibrillary acidic protein (sGFAP) levels are believed to reflect mainly acute and chronic disease processes in multiple sclerosis (MS), respectively. In this study, we investigated whether dimethyl fumarate (DMF) and rituximab (RTX) differentially affect these biomarkers.
F. Shawket +14 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 +2 more sources