Математика и физика. Mathematics & Physics. 2021 14 (5)
Ресурсы коллекции
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Satisfiability in Boolean Logic (SAT problem) is polynomial?
(Сибирский федеральный университет. Siberian Federal University, 2021-10)We find a polynomial algorithm to solve SAT problem in Boolean Logic -
On an Inverse Problem for the Stationary Equation with a Boundary Condition of the Third Type
(Сибирский федеральный университет. Siberian Federal University, 2021-10)The identification of an unknown coefficient in the lower term of elliptic second-order differential equation Mu + ku = f with the boundary condition of the third type is considered. The identification of the coefficient ... -
Connecting Homomorphism and Separating Cycles
(Сибирский федеральный университет. Siberian Federal University, 2021-10)We discuss the construction of a long semi-exact Mayer–Vietoris sequence for the homology of any finite union of open subspaces. This sequence is used to obtain topological conditions of representation of the integral ... -
On Problem of Finding all Maximal Induced Bicliques of Hypergraph
(Сибирский федеральный университет. Siberian Federal University, 2021-10)The problem of finding all maximal induced bicliques of a hypergraph is considered in this paper. A theorem about connection between induced bicliques of the hypergraph H and corresponding vertex graph L2(H) is proved. ... -
Modeling of Anisotropy Dynamics of the Proton Pitch Angle Distribution in the Earth’s Magnetosphere
(Сибирский федеральный университет. Siberian Federal University, 2021-10)Last years the attention to research of anisotropy of the charged particle pitch angle distribution has considerably increased. Therefore for research of anisotropy dynamics of the proton pitch angle distribution is used ... -
A List of Integral Representations for the Diagonal of Power Series of a Rational Function
(Сибирский федеральный университет. Siberian Federal University, 2021-10)In this paper we present integral representations for the diagonals of power series. Such representations are obtained by lowering the multiplicity of integration for the previously known integral representation. The ... -
Features in the Resonance Behavior of Magnetization in Arrays of Triangular and Square Nanodots
(Сибирский федеральный университет. Siberian Federal University, 2021-10)Collective modes of the gyrotropic motion of a magnetic vortex core in ordered arrays of triangular and square ferromagnetic film nanodots have been theoretically investigated. The dispersion relations have been derived. ... -
On Pairs of Additive Subgroups Associated with Intermediate Subgroups of Groups of Lie Type over Nonperfect Fields
(Сибирский федеральный университет. Siberian Federal University, 2021-10)The author has previously (Trudy IMM UrO RAN, 19(2013), no. 3) described the groups lying between twisted Chevalley groups G(K) and G(F) of type 2Al, 2Dl, 2E6, 3D4 in the case when the larger field F is an algebraic ... -
On the Zeta-Function of Zeros of Entire Function
(Сибирский федеральный университет. Siberian Federal University, 2021-10)This article is devoted to the study of the properties of the zeta-function of zeros of entire function. We obtained an explicit expression for the kernel of the integral representation of the zetafunction in one case -
Laurent-Hua Luogeng Series with Respect to the Matrix Ball from Space Cn [m × m]
(Сибирский федеральный университет. Siberian Federal University, 2021-10)The aim of this work is to obtain multidimensional analogs of the Laurent series with respect to the matrix ball from space Cn [m × m]. To do this, we first introduce the concept of a "layer of the matrix ball" from Cn ... -
Iterations and Groups of Formal Transformations
(Сибирский федеральный университет. Siberian Federal University, 2021-10)In this paper, we consider the problem of formal iteration. We construct an area preserving mapping which does not have any square root. This leads to a counterexample to Moser’s existence theorem for an interpolation ... -
On Estimation of the Convergence Rate to Invariant Measures in Markov Branching Processes with Possibly Infinite Variance and Allowing Immigration
(Сибирский федеральный университет. Siberian Federal University, 2021-10)The paper discusses the continuous-time Markov Branching Process allowing Immigration. We are considering a critical case for which the second moment of offspring law and the first moment of immigration law are possibly ... -
On Reductants of Two Groups
(Сибирский федеральный университет. Siberian Federal University, 2021-10)In this paper we consider the reductant of the dihedral group Dn, consisting of a set of axial symmetries, and the sphere S2 as a reductant of the group SU(2,C) ∼= S3 (the group of unit quaternions). By introducing the ... -
On Some Decompositions of Matrices over Algebraically Closed and Finite Fields
(Сибирский федеральный университет. Siberian Federal University, 2021-10)We study when every square matrix over an algebraically closed field or over a finite field is decomposable into a sum of a potent matrix and a nilpotent matrix of order 2. This can be related to our recent paper, published ... -
Energy Method for the Elliptic Boundary Value Problems with Asymmetric Operators in a Spherical Layer
(Сибирский федеральный университет. Siberian Federal University, 2021-10)Three-dimensional elliptic boundary value problems arising in the mathematical modeling of quasi-stationary electric fields and currents in conductors with gyrotropic conductivity tensor in domains homeomorphic to the ...