Results 41 to 50 of about 177,680 (311)
Twisting singular solutions of Bethe's equations
The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-defined. We use a twist regularization to derive conditions for such singular solutions to be physical,
Nepomechie, Rafael I., Wang, Chunguang
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Computational Modeling of Reticular Materials: The Past, the Present, and the Future
Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman+3 more
wiley +1 more source
Estimating Angle of Arrival and Output Signals to Noise Ratio for Wideband Signals [PDF]
Multiple Signal Classification (MUSIC) algorithm is the most popular algorithm to estimate angle of arrival (AOA) for narrowband signals. This algorithm is based on the use of subspace noise Eigenvectors (Q_n) matrix related to the smallest set of Eigen ...
Bassim Sayed Mohammed
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Spectral Convergence of the connection Laplacian from random samples
Spectral methods that are based on eigenvectors and eigenvalues of discrete graph Laplacians, such as Diffusion Maps and Laplacian Eigenmaps are often used for manifold learning and non-linear dimensionality reduction.
Singer, Amit, Wu, Hau-tieng
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Nonlocal Conduction in a Metawire
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
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
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The Number of Eigenvalues of a Tensor
Eigenvectors of tensors, as studied recently in numerical multilinear algebra, correspond to fixed points of self-maps of a projective space. We determine the number of eigenvectors and eigenvalues of a generic tensor, and we show that the number of ...
Bedford+11 more
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Asymmetric Transmission and Diffraction Engineering in Ultrathin media via Coupled Metasurfaces
Grating‐insulator‐grating coupled crosstalking metasurfaces hosted on a silicon nitride membrane platform for asymmetric control of the diffraction pattern and asymmetric transmission. It is shown that exploiting the interferences of higher diffraction orders between the two metasurfaces and engineering the resulting modes enables AT in such ...
Abbas Sheikh Ansari+3 more
wiley +1 more source
New approach to finding eigenvectors for repeated eigenvalues of a matrix
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
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Algebraic Bethe Ansatz for spinor R-matrices
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
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