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From the History of Creation of Rocket Complexes 15A14 and 15A15 (Beginning of the 70’s of the 20th Century) [PDF]
Олена Войтюк
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α-Completely Regular and Almost α-Completely Regular Spaces
This work is aimed at studying some of the characterizations of α-completely regular and almost α-completely regular spaces through the new concept of α-zero sets and α-continuous functions.
A. Azzam, A. Nasef
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In this paper, rectangular matrices whose minors of a given order have the same strict sign are considered and sufficient conditions for their recognition are presented.
Rola Alseidi, J. Garloff
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Combined matrix of diagonally equipotent matrices
Let C(A)=A∘A−T{\mathcal{C}}\left(A)=A\circ {A}^{-T} be the combined matrix of an invertible matrix AA, where ∘\circ means the Hadamard product of matrices.
Bru Rafael+4 more
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Combinatorial properties of the enhanced principal rank characteristic sequence over finite fields
The enhanced principal rank characteristic sequence (epr-sequence) of a symmetric matrix B ∈ 𝔽n×n is defined as ℓ1ℓ2· · · ℓn, where ℓj ∈ {A, S, N} according to whether all, some but not all, or none of the principal minors of order j of B are nonzero ...
Dukes Peter J., Martínez-Rivera Xavier
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Determinants of some Hessenberg matrices with generating functions
In this paper, we derive some relationships between the determinants of some special lower Hessenberg matrices whose entries are the terms of certain sequences and the generating functions of these sequences.
Leerawat Utsanee, Daowsud Katthaleeya
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Schrödinger’s tridiagonal matrix
In the third part of his famous 1926 paper ‘Quantisierung als Eigenwertproblem’, Schrödinger came across a certain parametrized family of tridiagonal matrices whose eigenvalues he conjectured.
Kovačec Alexander
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Disproving a conjecture of Thornton on Bohemian matrices
In this paper, we disprove a remaining conjecture about Bohemian matrices, in which the numbers of distinct determinants of a normalized Bohemian upper-Hessenberg matrix were conjectured.
Du Zhibin+3 more
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Graph isomorphism and Gaussian boson sampling
We introduce a connection between a near-term quantum computing device, specifically a Gaussian boson sampler, and the graph isomorphism problem. We propose a scheme where graphs are encoded into quantum states of light, whose properties are then probed ...
Brádler Kamil+4 more
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Bounds for the Z-eigenpair of general nonnegative tensors
In this paper, we consider the Z-eigenpair of a tensor. A lower bound and an upper bound for the Z-spectral radius of a weakly symmetric nonnegative irreducible tensor are presented.
Liu Qilong, Li Yaotang
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