Results 51 to 60 of about 84 (84)

Monotonicity, convexity, and Maclaurin series expansion of Qi's normalized remainder of Maclaurin series expansion with relation to cosine

Open Mathematics
In this article, the authors introduce Qi’s normalized remainder of the Maclaurin series expansion of Qi’s normalized remainder for the cosine function.
Pei Wei-Juan, Guo Bai-Ni
doaj   +1 more source

Determinant evaluations for binary circulant matrices

Special Matrices, 2014
Determinant formulas for special binary circulant matrices are derived and a new open problemregarding the possible determinant values of these specific circulant matrices is stated. The ideas used forthe proofs can be utilized to obtain more determinant
Kravvaritis Christos
doaj   +1 more source

Sylvester Hadamard matrices revisited

Special Matrices, 2014
In this work we revisited some properties of Sylvester Hadamard matrices of order 2k. Based onlyon the existence of a base from which any Sylvester Hadamard matrix can be constructed, we prove that theirrows (columns) are closed under addition and that ...
Mitrouli M.
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Lih Wang's and Dittert's conjectures on permanents

Special Matrices
Let Ωn{\Omega }_{n} denote the set of all doubly stochastic matrices of order nn. Lih and Wang conjectured that for n≥3n\ge 3, per(tJn+(1−t)A)≤t\left(t{J}_{n}+\left(1-t)A)\le tperJn+(1−t){J}_{n}+\left(1-t)perAA, for all A∈ΩnA\in {\Omega }_{n} and all t ...
Udayan Divya K., Somasundaram Kanagasabapathi   +1 more
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On the spectrum of tridiagonal matrices with two-periodic main diagonal

Special Matrices
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
doaj   +1 more source

On the exact decryption range for Gentry–Halevi's implementation of fully homomorphic encryption

Journal of Mathematical Cryptology, 2014
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, Yokoyama Kazuhiro, Shimoyama Takeshi, Kogure Jun, Koshiba Takeshi   +4 more
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AN ANTHOLOGY OF THE DISTINGUISHED ACHIEVEMENTS IN SCIENCE AND TECHNIQUE. PART 52: ROCKET-SPACE TECHNOLOGY DESIGNER MIKHAIL YANGEL AND HIS ACCOMPLISHMENTS IN MISSILE DESIGN

Electrical engineering & Electromechanics, 2019
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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Computing the sequence of k-cardinality assignments. [PDF]

J Comb Optim, 2022
Rosenmann A.
europepmc   +1 more source

Bipartite Graphs Associated with Pell, Mersenne and Perrin Numbers

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
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
doaj   +1 more source

Exact Recursive Calculation of Circulant Permanents: A Band of Different Diagonals inside a Uniform Matrix. [PDF]

Entropy (Basel), 2021
Kocharovsky V, Kocharovsky V, Martyanov V, Tarasov S.   +3 more
europepmc   +1 more source