Estrada Index and Laplacian Estrada Index of Random Interdependent Graphs
Mathematics, 2020 Let G be a simple graph of order n. The Estrada index and Laplacian Estrada index of G are defined by E E ( G ) = ∑ i = 1 n e λ i ( A ( G ) ) and L E E ( G ) = ∑ i = 1 n e λ i ( L ( G ) ) , where { λ i
Yilun Shang
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Rortex and comparison with eigenvalue-based vortex identification criteria [PDF]
The Physics of Fluids, 2018 Most of the currently popular Eulerian vortex identification criteria, including the Q criterion, the Delta criterion and the Lambda_ci criterion, are based on the analysis of the velocity gradient tensor.
Yisheng Gao, Chaoqun Liu
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Dynamic Response of the Inertial Platform of the Laser ELI-NP Magurele-Bucharest Facility
Mathematics, 2022 Previous studies on the vibrational behavior of the inertial platform installed at ELI-NP, in Magurele-Bucharest have reported eigenfrequencies in the domain in which excitations can occur from earthquakes which manifests itself periodically in this ...
Calin Itu +7 more
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Tensor Eigenvalue and SVD from the Viewpoint of Linear Transformation
Axioms, 2023 A linear transformation from vector space to another vector space can be represented as a matrix. This close relationship between the matrix and the linear transformation is helpful for the study of matrices.
Xinzhu Zhao, Bo Dong, Bo Yu, Yan Yu
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Eigenvalue-based spectrum sensing algorithms for cognitive radio [PDF]
IEEE Transactions on Communications, 2008 Spectrum sensing is a fundamental component in a cognitive radio. In this paper, we propose new sensing methods based on the eigenvalues of the covariance matrix of signals received at the secondary users.
Yonghong Zeng, Ying-Chang Liang
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Quantum eigenvalue estimation via time series analysis [PDF]
New Journal of Physics, 2019 We present an efficient method for estimating the eigenvalues of a Hamiltonian H from the expectation values of the evolution operator for various times.
R. Somma
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Limiting laws for divergent spiked eigenvalues and largest nonspiked eigenvalue of sample covariance matrices [PDF]
Annals of Statistics, 2017 We study the asymptotic distributions of the spiked eigenvalues and the largest nonspiked eigenvalue of the sample covariance matrix under a general covariance matrix model with divergent spiked eigenvalues, while the other eigenvalues are bounded but ...
T. Cai, Xiao Han, G. Pan
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Bernstein-type theorems in hypersurfaces with constant mean curvature
Anais da Academia Brasileira de Ciências, 2000 By using the nodal domains of some natural function arising in the study of hypersurfaces with constant mean curvature we obtain some Bernstein-type theorems.
MANFREDO P. DO CARMO, DETANG ZHOU
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BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2015 We study a spectral problem for an ordinary differential equation with composition of fractional order differentiation operators in Riemann-Liouville and Caputo senses with different origins. We prove that for the problem under study there exist infinite
L.M. Eneeva
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OPTIMIZATION OF 3D LOCAL ORIENTATION MAP CALCULATION IN THE MATLAB FRAMEWORK
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2015 This paper presents the development and evaluation of a new approach toward the optimization of 3D local orientation map calculation in the Matlab framework. This new approach can be detailed as: optimize eigenvector calculation for PCA analysis of X-ray
Ranya Al Darwich, Laurent Babout
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