On the spectrum of tridiagonal matrices with two-periodic main diagonal
We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
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On the exact decryption range for Gentry–Halevi's implementation of fully homomorphic encryption
In this paper, we revisit the fully homomorphic encryption (FHE) scheme implemented by Gentry and Halevi, which is just an instantiation of Gentry's original scheme based on ideal lattices.
Yasuda Masaya +4 more
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Entropy Optimization, Maxwell-Boltzmann, and Rayleigh Distributions. [PDF]
Sebastian N, Mathai AM, Haubold HJ.
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Purpose. Preparation of short scientifically-historical essay about the distinguished designer of domestic |space-rocket technique and one of basic creators of missiles for a Soviet rocket-nuclear «shield» Mikhail Kuzmich Yangel. Methodology.
M. I. Baranov
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Deciphering core phyllomicrobiome assemblage on rice genotypes grown in contrasting agroclimatic zones: implications for phyllomicrobiome engineering against blast disease. [PDF]
Sahu KP +10 more
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Bipartite Graphs Associated with Pell, Mersenne and Perrin Numbers
In this paper, we consider the relationships between the numbers of perfect matchings (1-factors) of bipartite graphs and Pell, Mersenne and Perrin Numbers.
Öteleş Ahmet
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Zeros distribution and interlacing property for certain polynomial sequences
In this article, we first prove that the Hankel determinant of order three of the polynomial sequence {Pn(x)=∑k≥0P(n,k)xk}n≥0{\left\{{P}_{n}\left(x)={\sum }_{k\ge 0}P\left(n,k){x}^{k}\right\}}_{n\ge 0} is weakly (Hurwitz) stable, where P(n,k)P\left(n,k ...
Guo Wan-Ming
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Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows
In this paper, four-band Toeplitz matrices and four-band Hankel matrices of type I and type II with perturbed rows are introduced. Explicit determinants, inverses and eigenvalues for these matrices are derived by using a nice inverse formula of block ...
Zhang Maoyun +2 more
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Automated seizure onset zone locator from resting-state functional MRI in drug-resistant epilepsy. [PDF]
Banerjee A +5 more
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This article investigates the stationary behavior of an incompressible non-Newtonian fluid flowing through a thin three-dimensional domain Qξ⊂R3 ${Q}^{\xi }\subset {\mathbb{R}}^{3}$ , where the viscosity follows a variable power-law model.
Amara Kaddouri +4 more
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