Математика и физика. Mathematics & Physics. 2022 15 (5)
Ресурсы коллекции
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On Centralizers of the Graph Automorphisms of Niltriangular Subalgebras of Chevalley Algebras
(Siberian Federal University. Сибирский федеральный университет, 2022-10)Graph automorphisms of a Chevalley group correspond to each type of reduced indecompos- able root system , which Coxeter graph has a non-trivial symmetry. It is well-known, that a Chevalley algebra and its niltriangular ... -
Local Asymptotic Normality of Statistical Experiments in an Inhomogeneous Competing Risks Model
(Сибирский федеральный университет. Siberian Federal University, 2022-10)In this paper we consider an inhomogeneous competing risks model. For the likelihood ratio statistics (LRS), proved the theorem on the locally asymptotic normality of statistical experiment -
Sharply Doubly Transitive Groups with Saturation Conditions
(Сибирский федеральный университет. Siberian Federal University, 2022-10)A number of conditions were found under which a sharply doubly transitive permutation group has an abelian normal divider -
Maximal Abelian Ideals and Automorphisms of Nonfinitary Nil-triangular Algebras
(Сибирский федеральный университет. Siberian Federal University, 2022-10)We study mutually connected automorphisms and abelian ideals of nonfinitary nil-triangular algebras -
Unsteady Flow of two Binary Mixtures in a Cylindrical Capillary with Changes in the Internal Energy of the Interface
(Сибирский федеральный университет. Siberian Federal University, 2022-10)The problem of two-dimensional unsteady flow of two immiscible incompressible binary mixtures in a cylindrical capillary in the absence of mass forces is studied. The mixtures are contacted through a common interface on ... -
Second Hankel Determinant for Bi-univalent Functions Associated with q-differential Operator
(Сибирский федеральный университет. Siberian Federal University, 2022-10)The objective of this paper is to obtain an upper bound to the second Hankel determinant denoted by H2(2) for the class S q ( ) of bi-univalent functions using q-differential operator -
Computational Modeling of the Electromagnetic Field Distribution of a Horizontal Grounded Antenna in Rock for TTE Communication
(Сибирский федеральный университет. Siberian Federal University, 2022-10)The article investigates the spatial distribution of the electromagnetic (EM) field of an an- tenna in the form of a long grounded cable in a rock with the corresponding electrophysical parameters. The frequency dependences ... -
Dehn Functions and the Space of Marked Groups
(Сибирский федеральный университет. Siberian Federal University, 2022-10)In the space of marked group, we suppose that a sequence (Gi;Xi) converges to (G;X), where G is finitely presented. We obtain an inequality which connects Dehn functions of Gis and G -
Two-dimensional Inverse Problem for an Integro-differential Equation of Hyperbolic Type
(Сибирский федеральный университет. Siberian Federal University, 2022-10)A multidimensional inverse problem of determining the kernel of the integral term of an integro-differential wave equation is considered. In the direct problem it is required to find the dis- placement function from the ... -
Irreducible Carpets of Additive Subgroups of Type G2 Over a Field of Characteristic 0
(Сибирский федеральный университет. Siberian Federal University, 2022-10)It is proved that any irreducible carpet of type G2 over a field F of characteristic 0, at least one additive subgroup of which is an R-module, where F is an algebraic extension of the field R, up to conjugation by a ... -
Uniqueness of an Interpolating Entire Function with Some Properties
(Сибирский федеральный университет. Siberian Federal University, 2022-10)We consider the problem of power series analytic continuation by coefficients interpolation by entire or meromorphic functions. We prove uniqueness of an interpolating function with some properties. Also, under assumptions ... -
Tutorial on Rational Rotation C*-Algebras
(Сибирский федеральный университет. Siberian Federal University, 2022-10)The rotation algebra A is the universal C -algebra generated by unitary operators U; V satisfying the commutation relation UV = !V U where ! = e2 i : They are rational if = p=q with 1 6 p 6 q1; othewise irrational. ... -
Some Solutions of the Euler System of an Inviscid Incompressible Fluid
(Сибирский федеральный университет. Siberian Federal University, 2022-10)We consider a system of two-dimensional Euler equations describing the motions of an inviscid incompressible fluid. It reduces to one non-linear equation with partial derivatives of the third order. A group of point ... -
Existence and Uniqueness of the Solution to a Class of Fractional Boundary Value Problems Using Topological Methods
(Сибирский федеральный университет. Siberian Federal University, 2022-10)This paper investigates the existence and uniqueness of solutions to boundary value prob- lems involving the Caputo fractional derivative in Banach space by topological structures with some appropriate conditions. It is ... -
Determination of Non-stationary Potential Analytical with Respect to Spatial Variables
(Сибирский федеральный университет. Siberian Federal University, 2022-10)The inverse problem of determining coefficient before the lower term of the hyperbolic equation of the second order is considered. The coefficient depends on time and n spatial variables. It is supposed that this coefficient ... -
Study of a Deformation Localization Direction in Slow Motion of a Granular Medium
(Сибирский федеральный университет. Siberian Federal University, 2022-10)This paper is devoted to the study of the direction of the deformation localization lines in a slow gravity flow of a granular medium in convergent channels with various geometric characteristics. Variational principles ...