Results 41 to 50 of about 4,781,981 (326)

Heat kernel for antisymmetric tensor field on a disk [PDF]

open access: yes, 1994
We suggest a method of reduction of mixed absolute and relative boundary conditions to pure ones. The case of rank two tensor is studied in detail. For four-dimensional disk the corresponding heat kernel is expressed in terms of scalar heat kernels.
Vassilevich, Dmitri V.
core   +2 more sources

Spectral norm of a symmetric tensor and its computation [PDF]

open access: yesMathematics of Computation, 2018
We show that the spectral norm of a $d$-mode real or complex symmetric tensor in $n$ variables can be computed by finding the fixed points of the corresponding polynomial map.
S. Friedland, Li Wang
semanticscholar   +1 more source

Using geometric algebra to represent curvature in shell theory with applications to Starling resistors [PDF]

open access: yesRoyal Society Open Science, 2017
We present a novel application of rotors in geometric algebra to represent the change of curvature tensor that is used in shell theory as part of the constitutive law. We introduce a new decomposition of the change of curvature tensor, which has explicit
A. L. Gregory, A. Agarwal, J. Lasenby
doaj   +1 more source

Estimation of brain tissue response by electrical stimulation in a subject-specific model implemented by conductivity tensor imaging

open access: yesFrontiers in Neuroscience, 2023
Electrical stimulation such as transcranial direct current stimulation (tDCS) is widely used to treat neuropsychiatric diseases and neurological disorders.
Nitish Katoch   +8 more
doaj   +1 more source

Entangled Scalar and Tensor Fluctuations during Inflation

open access: yes, 2016
We show how the choice of an inflationary state that entangles scalar and tensor fluctuations affects the angular two-point correlation functions of the $T$, $E$, and $B$ modes of the cosmic microwave background. The propagators for a state starting with
Collins, Hael, Vardanyan, Tereza
core   +1 more source

A Modified Higher-Order Singular Value Decomposition Framework With Adaptive Multilinear Tensor Rank Approximation for Three-Dimensional Magnetic Resonance Rician Noise Removal

open access: yesFrontiers in Oncology, 2020
The magnetic resonance (MR) images are acknowledged to be inevitably corrupted by Rician distributed noise, which adversely affected the image quality for diagnosis purpose.
Li Wang   +9 more
doaj   +1 more source

Weak-strong uniqueness and energy-variational solutions for a class of viscoelastoplastic fluid models

open access: yesAdvances in Nonlinear Analysis, 2022
We study a model for a fluid showing viscoelastic and viscoplastic behavior, which describes the flow in terms of the fluid velocity and a symmetric deviatoric stress tensor.
Eiter Thomas   +2 more
doaj   +1 more source

Higher-order principal component analysis for the approximation of tensors in tree-based low-rank formats

open access: yes, 2018
This paper is concerned with the approximation of tensors using tree-based tensor formats, which are tensor networks whose graphs are dimension partition trees. We consider Hilbert tensor spaces of multivariate functions defined on a product set equipped
Nouy, Anthony
core   +2 more sources

Piezoelectric Tensor of Collagen Fibrils Determined at the Nanoscale.

open access: yesACS Biomaterials Science & Engineering, 2017
Piezoelectric properties of rat tail tendons, sectioned at angles of 0, 59, and 90° relative to the plane orthogonal to the major axis, were measured using piezoresponse force microscopy.
D. Denning   +9 more
semanticscholar   +1 more source

Linking neurogenesis, oligodendrogenesis, and myelination defects to neurodevelopmental disruption in primary mitochondrial disorders

open access: yesFEBS Letters, EarlyView.
Mitochondrial remodeling shapes neural and glial lineage progression by matching metabolic supply with demand. Elevated OXPHOS supports differentiation and myelin formation, while myelin compaction lowers mitochondrial dependence, revealing mitochondria as key drivers of developmental energy adaptation.
Sahitya Ranjan Biswas   +3 more
wiley   +1 more source

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