Results 41 to 50 of about 174,528 (270)

Impact of sample size on principal component analysis ordination of an environmental data set: effects on eigenstructure

open access: yesEkológia (Bratislava), 2016
In this study, we used bootstrap simulation of a real data set to investigate the impact of sample size (N = 20, 30, 40 and 50) on the eigenvalues and eigenvectors resulting from principal component analysis (PCA).
Shaukat S. Shahid   +2 more
doaj   +1 more source

Algebraic Bethe Ansatz for spinor R-matrices

open access: yesSciPost Physics, 2022
We present a supermatrix realisation of $q$-deformed spinor-spinor and spinor-vector $R$-matrices. These $R$-matrices are then used to construct transfer matrices for $U_{q^2}(\mathfrak{so}_{2n+1})$- and $U_{q}(\mathfrak{so}_{2n+2})$-symmetric closed ...
Vidas Regelskis
doaj   +1 more source

A diffusive matrix model for invariant $\beta$-ensembles [PDF]

open access: yes, 2012
We define a new diffusive matrix model converging towards the $\beta$-Dyson Brownian motion for all $\beta\in [0,2]$ that provides an explicit construction of $\beta$-ensembles of random matrices that is invariant under the orthogonal/unitary group.
Allez, Romain, Guionnet, Alice
core   +2 more sources

Nonlocal Conduction in a Metawire

open access: yesAdvanced Materials, Volume 37, Issue 13, April 2, 2025.
A 1D metawire composed of twisted copper wires is designed and realized. This metamaterial exhibits pronounced effects of nonlocal electric conduction according to Ohm's law. The current at one location not only depends on the electric field at that location but also on other locations.
Julio Andrés Iglesias Martínez   +3 more
wiley   +1 more source

Quantum Emitters in Rhombohedral Boron Nitride

open access: yesAdvanced Optical Materials, EarlyView.
Rhombohedral boron nitride (rBN) is an emerging wide‐bandgap van der Waals (vdW) material with strong second‐order nonlinear optical properties. In this work, optically‐addressable spin defects and single‐photon emitters (SPEs) are fabricated deterministically in rBN.
Angus Gale   +10 more
wiley   +1 more source

Analytic Solutions to Reflection-Transmission Problem of Interface in Anisotropic Ice Sheet

open access: yesInternational Journal of Antennas and Propagation, 2020
The rheology and evolution of the polar ice sheet are deeply influenced by the anisotropy of ice crystals. Studying the anisotropy of ice crystals can help to well understand and predict the behavior of the polar ice sheet and then the sea level rising ...
Bangbing Wang, Honkuan Wong
doaj   +1 more source

Recursive solutions for Laplacian spectra and eigenvectors of a class of growing treelike networks

open access: yes, 2009
The complete knowledge of Laplacian eigenvalues and eigenvectors of complex networks plays an outstanding role in understanding various dynamical processes running on them; however, determining analytically Laplacian eigenvalues and eigenvectors is a ...
B. Bollobás   +8 more
core   +1 more source

Ellipticity‐Controlled Exceptional Points and Cross‐Polarized Phase Singularities in Multi‐Layer Silicon Guided Mode Resonant Metasurfaces

open access: yesAdvanced Optical Materials, EarlyView.
Omni‐polarizers that pull all input polarization states to an elliptical or linear polarization can be made using highly resonant bi‐layer metasurfaces. The ellipticity of the selected polarization can be controlled by choosing the layer separation.
Ben Goldberg   +2 more
wiley   +1 more source

New approach to finding eigenvectors for repeated eigenvalues of a matrix

open access: yesSistemnì Doslìdženâ ta Informacìjnì Tehnologìï
An efficient method of calculating eigenvectors for multiple eigenvalues of a matrix is proposed. This method is based on a formalized transformation of the problem of solving degenerate systems of equations into a regular problem by “repairing” their ...
Anatolii Petrenko
doaj   +1 more source

The Spectrum and Eigenvectors of the Laplacian Matrices of the Brualdi-Li Tournament Digraphs

open access: yesJournal of Applied Mathematics, 2014
Let m≥1 be an integer, let ℬ2m denote the Brualdi-Li matrix of order 2m, and let ℒℬ2m denote the Laplacian matrices of Brualdi-Li tournament digraphs. We obtain the eigenvalues and eigenvectors of ℒℬ2m.
Xiaogen Chen
doaj   +1 more source

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