Results 51 to 60 of about 4,186,119 (356)

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

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

Generalized Slow Roll for Tensors

open access: yes, 2014
The recent BICEP2 detection of degree scale CMB B-mode polarization, coupled with a deficit of observed power in large angle temperature anisotropy, suggest that the slow-roll parameter $\epsilon_H$, the fractional variation in the Hubble rate per efold,
Hu, Wayne
core   +1 more source

Primordial fluctuations in bulk inflaton model

open access: yes, 2003
An inflationary brane model driven by a bulk inflaton with exponential potential is proposed. We find a family of exact solutions that describe power-law inflation on the brane. These solutions enable us to derive exact solutions for metric perturbations
A. Lukas   +38 more
core   +1 more source

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

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

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

Quasilocal Conservation Laws: Why We Need Them

open access: yes, 2012
We argue that conservation laws based on the local matter-only stress-energy-momentum tensor (characterized by energy and momentum per unit volume) cannot adequately explain a wide variety of even very simple physical phenomena because they fail to ...
Bell J S   +10 more
core   +1 more source

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