Results 61 to 70 of about 42,044 (303)

Normal‐Appearing White Matter Injury Mediates Chronic Deep Venous Hypoxia and Disease Progression in Multiple Sclerosis

open access: yesAnnals 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

Dilation theory for rank two graph algebras. [PDF]

open access: yes, 2010
An analysis is given of $*$-representations of rank 2 single vertex graphs. We develop dilation theory for the non-selfadjoint algebras $\A_\theta$ and $\A_u$ which are associated with the commutation relation permutation $\theta$ of a 2-graph and, more ...
Yang, Dilian   +2 more
core  

Linear to multi-linear algebra and systems using tensors

open access: yesFrontiers in Applied Mathematics and Statistics
In 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

open access: yesForum 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
doaj   +1 more source

Dimethyl Fumarate, But Not Rituximab, Reduces Serum GFAP Levels and PIRMA in Relapsing–Remitting MS

open access: yesAnnals 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

Vertex Degrees and Isomorphic Properties in Complement of an m-Polar Fuzzy Graph

open access: yesAdvances in Fuzzy Systems, 2017
Computational intelligence and computer science rely on graph theory to solve combinatorial problems. Normal product and tensor product of an m-polar fuzzy graph have been introduced in this article.
Ch. Ramprasad   +3 more
doaj   +1 more source

Cohen-Macaulayness of Tensor Products

open access: yesRocky 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

Artificial Intelligence–Based Online Symptom Assessment Tools for Systemic Lupus Erythematosus Diagnosis: Patient Perspectives

open access: yesArthritis Care &Research, EarlyView.
Objective The objective of this article is to identify perceptions of patients with systemic lupus erythematosus (SLE) regarding artificial intelligence (AI)–based online symptom assessment tools, and the potential of these tools to address diagnostic barriers.
Olivia A. Stein   +7 more
wiley   +1 more source

C-Product Toolbox: A Computational Package for Third-Order Tensor Operations Based on the Reduced c-Product

open access: yesComputational and Mathematical Methods
This 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

Laser Powder Bed Fusion of Alumina: Effects of Scanning Strategies on External and Internal Defects

open access: yesAdvanced Engineering Materials, EarlyView.
This study investigates how scanning strategies affect pure alumina in laser powder bed fusion. Linear 45° scanning yields uniform surfaces but high porosity, while the island‐concentric strategy provides higher density with through‐holes favorable for infiltration. Findings highlight pathways toward optimizing defect‐free alumina parts.
Mohamed Abdelmoula   +7 more
wiley   +1 more source

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