Results 91 to 100 of about 36,403 (314)
Subventricular Zone Microstructure in Pediatric‐Onset Multiple Sclerosis
Annals of Neurology, EarlyView.Objective The aim of this study was to explore the microstructural dynamics of the subventricular zone (SVZ) with aging and their associations with clinical disability and brain structural damage in pediatric‐onset multiple sclerosis (MS) patients. Methods One‐hundred and forty‐one pediatric‐onset MS patients (67 pediatric and 74 adults with pediatric ...
Monica Margoni +9 more
wiley +1 more source
Eigenvectors of random matrices: A survey [PDF]
arXiv, 2016 Eigenvectors of large matrices (and graphs) play an essential role in combinatorics and theoretical computer science. The goal of this survey is to provide an up-to-date account on properties of eigenvectors when the matrix (or graph) is random.
arxiv
Modulational Instability and Dynamical Growth Blockade in the Nonlinear Hatano–Nelson Model
Advanced Physics Research, EarlyView.The nonlinear Hatano–Nelson model under periodic boundary conditions is investigated, revealing a novel growth blockade phenomenon triggered by the modulational instability of nonlinear plane waves. This effect, characterized by the abrupt halt of norm growth, arises from self‐induced disorder, marking a departure from the convective motion observed in
Stefano Longhi
wiley +1 more source
Estimating network dimension when the spectrum struggles
Royal Society Open ScienceWhat is the dimension of a network? Here, we view it as the smallest dimension of Euclidean space into which nodes can be embedded so that pairwise distances accurately reflect the connectivity structure.
Peter Grindrod +2 more
doaj +1 more source
Eigenvectors of the discrete Laplacian on regular graphs - a statistical approach [PDF]
, 2008 In an attempt to characterize the structure of eigenvectors of random regular graphs, we investigate the correlations between the components of the eigenvectors associated to different vertices. In addition, we provide numerical observations, suggesting that the eigenvectors follow a Gaussian distribution. Following this assumption, we reconstruct some
arxiv +1 more source
Mechanical Spin Waves in a Nonlocal Discrete Magnetoelastic Lattice with Negative Group Velocity
Advanced Physics Research, EarlyView.A discrete magnetoelastic lattice enables mechanical spin waves. The zigzag‐arranged lattice consists of repulsive magnets. The top and bottom rows of the zigzag lattice show opposite spin directions. These spin waves arise due to the coupling between longitudinal and transverse motions.
Taehwa Lee +4 more
wiley +1 more source
MathematicsIn this paper, a Toeplitz construction method based on eigenvalues and eigenvectors is proposed to combine with traditional denoising algorithms, including fractional low-order moment (FLOM), phased fractional low-order moment (PFLOM), and correntropy ...
Junyan Cui, Wei Pan, Haipeng Wang
doaj +1 more source
Spanish Journal of Agricultural Research, 2014 The debate on the multifunctionality of agriculture and its connections with territorial policies are the basis of the most appropriate approach to legitimize public interventions in the agricultural sector.
Inmaculada Marques-Perez +2 more
doaj +1 more source
Rank one perturbation with a generalized eigenvector [PDF]
arXiv, 2020 The relationship between the Jordan structures of two matrices sufficiently close has been largely studied in the literature, among which a square matrix $A$ and its rank one updated matrix of the form $A+xb^*$ are of special interest. The eigenvalues of $A+xb^*$, where $x$ is an eigenvector of $A$ and $b$ is an arbitrary vector, were first expressed ...
arxiv
, 1997 The decomposition of a matrix A into a product of two or three matrices can (depending on the characteristics of those matrices) be a very useful first step in computing such things as the rank, the determinant, or an (ordinary or generalized) inverse (of A) as well as a solution to a linear system having A as its coefficient matrix.
openaire +3 more sources