Математика и физика. Mathematics & Physics. 2018 11 (2)
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Strongly Algebraically Closed Lattices in ℓ-groups and Semilattices
(Сибирский федеральный университет. Siberian Federal University, 2018-06)In this article, the properties of being @0-classes of a full ℓ-group, the set of polars of an ℓ-group, the complemented ℓ-ideals of a complete ℓ-group, the set of invariant elements of a dimension ortholattice, and ... -
Interval Estimation of a System Balance Based on the Conflict Theory
(Сибирский федеральный университет. Siberian Federal University, 2018-06)The possibility of a study of systems based on the conflict theory is examined in this article. Interval estimates of a system balance, which consider the conflicting properties of its elements, are suggested. The integrated ... -
Effect of Anisotropy on the Transport Properties of Layered High-temperature Superconductors with Extended Magnetic and Nonmagnetic Defects
(Сибирский федеральный университет. Siberian Federal University, 2018-06)Transport properties of anisotropic superconductor with point, columnar and columnar tilted defects have been analyzed using Monte-Carlo method. It was shown that for columnar tilted defects the critical current dependence ... -
Mathematical Modeling of Plastic Deformation in FCC Metals
(Сибирский федеральный университет. Siberian Federal University, 2018-06)A study was made of the number of dislocations change in the crystallographic shift zone for fcc metals: lead, aluminum and copper, depending on the magnitude of the acting stress and other factors affecting the formation ... -
Conditional Correctness and Approximate Solution of Boundary Value Problem for the System of Second Order Mixed-type Equations
(Сибирский федеральный университет. Siberian Federal University, 2018-06)In this paper, we consider the system of second-order mixed type equations. Theorems of uniqueness and conditional stability in the set of correctness are proven. The approximate solution is constructed by the method of ... -
Control Conductance of Single Walled Carbon Nanotubes Films During Synthesis
(Сибирский федеральный университет. Siberian Federal University, 2018-06)We investigated electrical conductance of single-walled carbon nanotubes (SWCNTs) films during the time of synthesis. The time dependence of conductance have been described in terms of the Shklovsky - de Gennes percolation ... -
An Approach to Determine the Resultant of Two Entire Functions
(Сибирский федеральный университет. Siberian Federal University, 2018-06)An approach to determine the resultant of two entire functions is studied -
Regularization of the Cauchy Problem for Elliptic Operators
(Сибирский федеральный университет. Siberian Federal University, 2018)We regularize the ill-posed Cauchy problem for a first order elliptic matrix differential operator A with the use of a mixed problem for its Laplacian A* A, depending on small parameter in boundary conditions. -
Analysis of Superconductor Magnetization Hysteresis
(Сибирский федеральный университет. Siberian Federal University, 2018-06)The critical state model and the extended critical state model are described to analyse a magnetization hysteresis and to find superconductor parameters. We discuss how geometric sizes and form influence on magnetization ... -
Metal Layer Thickness Influence on the Dispersion Characteristics of Acoustic Waves in the Layered Structure "Me/ZnO/Me/diamond"
(Сибирский федеральный университет. Siberian Federal University, 2018-06)The research paper presents an analysis of the influence of mass loading represented by two metal layers (the upper and lower electrodes) on variations in the phase velocity of the elastic wave dispersion modes in the ... -
The Motion of a Binary Mixture with a Cylindrical Free Boundary at Small Marangoni Numbers
(Сибирский федеральный университет. Siberian Federal University, 2018-06)We studied the problem of axisymmetric motion of a binary mixture with a cylindrical free boundary at small Marangoni numbers. Using Laplace transformation properties the exact analytical solution is obtained. It is shown ... -
Cooperation of Bio-inspired and Evolutionary Algorithms for Neural Network Design
(Сибирский федеральный университет. Siberian Federal University, 2018-06)A meta-heuristic called Co-Operation of Biology-Related Algorithms (COBRA) with a fuzzy controller, as well as a new algorithm based on the cooperation of Differential Evolution and Particle Swarm Optimiza- tion (DE+PSO) ... -
On Intersection of Primary Subgroups in the Group Aut(F4(2))
(Сибирский федеральный университет. Siberian Federal University, 2018-06)It is proved that, in a finite group G which is isomorphic to the group of automorphisms of the Chevalley group F4(2), there are only three possibilities for ordered pairs of primary subgroups A and B with condition: A ... -
Effects of Optical Intra-gap Transitions on Superexchange Interaction in La2CuO4 with Nonequilibrium Photoexcited Centers
(Сибирский федеральный университет. Siberian Federal University, 2018-06)We investigated the effects of excited many-electron states in the optical control of the magnetic state in undoped Mott-Hubbard insulator. To derive the spin Hamiltonian in material under optical pumping we have used ... -
Analysis of an Exact Solution of Problem of the Evaporative Convection (Review). Part I. Plane Case
(Сибирский федеральный университет. Siberian Federal University, 2018-06)Development of theory describing the convection under conditions of "liquid – gas" phase transition, is caused by the active experimental study of the convective phenomena accompanied by evapora- tion/condensation at ... -
An Algorithmic Implementation of Runge’s Method for Cubic Diophantine Equations
(Сибирский федеральный университет. Siberian Federal University, 2018-05)In this paper we propose an algorithmic implementation of the elementary version of Runge’s method for solving cubic diophantine equations with two unknowns. Moreover, we give the estimates for the solutions to such equations -
Generalized Bernoulli Numbers and Polynomials in the Context of the Clifford Analysis
(Сибирский федеральный университет. Siberian Federal University, 2018-05)In this paper, we consider the generalization of the Bernoulli numbers and polynomials for the case of the hypercomplex variables. Multidimensional analogs of the main properties of classic polynomials are proved