Results 11 to 20 of about 36,403 (314)
The American Mathematical Monthly, 2022 The recursively-constructed family of Mandelbrot matrices $M_n$ for $n=1$, $2$, $\ldots$ have nonnegative entries (indeed just $0$ and $1$, so each $M_n$ can be called a binary matrix) and have eigenvalues whose negatives $-λ= c$ give periodic orbits under the Mandelbrot iteration, namely $z_k = z_{k-1}^2+c$ with $z_0=0$, and are thus contained in the ...
Neil J. Calkin +4 more
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A Note on Eigenvalues and Asymmetric Graphs
Axioms, 2023 This note is intended as a contribution to the study of quantitative measures of graph complexity that use entropy measures based on symmetry. Determining orbit sizes of graph automorphism groups is a key part of such studies. Here we focus on an extreme
Abdullah Lotfi +2 more
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Energies, 2023 Distributed energy resource (DER) has become an effective attempt in promoting use of renewable energy resources for electricity generation. The core intention of this study is to expand an approach for optimally placing several DER units to attain the ...
Ardiaty Arief, Muhammad Bachtiar Nappu
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Electronic Research Archive, 2023 The eigenvalues and eigenvectors of a normalized gaussian operator do not seem to have been previously considered. I solve this problem for 1-dimensional translational systems.
R. F. Snider
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Eigenvectors of Permutation Matrices [PDF]
Advances in Pure Mathematics, 2015 The spectral properties of special matrices have been widely studied, because of their applications. We focus on permutation matrices over a finite field and, more concretely, we compute the minimal annihilating polynomial, and a set of linearly independent eigenvectors from the decomposition in disjoint cycles of the permutation ...
García Planas, María Isabel +1 more
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Dimension reduction of dynamical systems on networks with leading and non-leading eigenvectors of adjacency matrices [PDF]
Physical Review Research, 4, 023257 (2022), 2022 Dimension reduction techniques for dynamical systems on networks are considered to promote our understanding of the original high-dimensional dynamics. One strategy of dimension reduction is to derive a low-dimensional dynamical system whose behavior approximates the observables of the original dynamical system that are weighted linear summations of ...
arxiv +1 more source
A method for suppressing resonance response of a vibration system coupled by springs
Nihon Kikai Gakkai ronbunshu, 2019 Since interior noise of an electric vehicle driven by motor has no engine noise, the contribution of the road induced noise at the low-middle vehicle speed range is higher and the noise is more noticeable for passengers compared to a conventional ...
Masashi KOMADA +3 more
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All opinions are not equal: Toward a consensual approach to the development of drug policy
Australian Journal of Social Issues, Volume 57, Issue 4, Page 812-828, December 2022., 2022 Abstract Drug policy has been subjected to much scrutiny from different stakeholder groups who present sometimes very different opinions on solutions to address a problem. Reconciling such differences, that are underpinned by both anecdotal and empirical evidence, is a priority yet to be fully achieved.
Gabriel T. W. Wong, Matthew Manning
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Crystals, 2022 The symplectic solution system of decagonal quasicrystal elastic mechanics is considered. Hamiltonian dual equations together with the boundary conditions are investigated by utilizing the principle of minimum potential energy.
Guangfang Li, Lianhe Li
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Eigenvectors and Reconstruction [PDF]
The Electronic Journal of Combinatorics, 2007 In this paper, we study the simple eigenvectors of two hypomorphic matrices using linear algebra. We also give new proofs of results of Godsil and McKay.
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