Математика и физика. Mathematics & Physics. 2013 6 (4)
Ресурсы коллекции
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The Linearity Problem for the Unitriangular Automorphism Groups of Free Groups
(Сибирский федеральный университет. Siberian Federal University., 2013-11)We prove that the unitriangular automorphism group of a free group of rank n has a faithful representation by matrices over a field, or in other words, it is a linear group, if and only if n 3. Thus, we have completed ... -
Optimization Problems with Random Data
(Сибирский федеральный университет. Siberian Federal University., 2013-11)The article discusses a new approach to optimization problems with random input parameters, which is defined as a random programming. This approach uses a numerical probability analysis and allows us to construct the set ... -
Applications of Operational Approach to Evaluation of Projects of Economic Systems Development
(Сибирский федеральный университет. Siberian Federal University., 2013-11)The paper proposes a technique of obtaining the investment project optimal cost for the development of economic systems. The considered systems are described by multi-step multicriteria linear programming problems with ... -
On Solvability of an Inverse Boundary Value Problem for the Boussinesq–Love Equation
(Сибирский федеральный университет. Siberian Federal University., 2013-11)In the paper an inverse boundary value problem for the Boussinesq-Love equation with an integral con- dition of the first kind is investigated. First, the given problem is reduced to an equivalent problem in a certain ... -
Model Problems for Two Nonlinear Equations that Type Depends on the Solution
(Сибирский федеральный университет. Siberian Federal University., 2013-11)Model problems for two nonlinear second-order partial differential equations that type depends on the solution are considered in this article. One of the equations can be called a nonlinear analog of the Lavrent’ev-Bitsadze ... -
Sharp Theorems on Traces in Analytic Spaces in Tube Domains over Symmetric Cones
(Сибирский федеральный университет. Siberian Federal University., 2013-11)New sharp estimates of Traces in Bergman-type spaces of analytic functions on tube domains over symmetric cones are obtained.These are first results of this type for tube domains over symmetric cones -
Equationally Noetherian Algebras and Chain Conditions
(Сибирский федеральный университет. Siberian Federal University., 2013-11)In this article, we describe the relation between the properties of being equational noetherian and ascending chain condition on ideals of an arbitrary algebra. We also give a formulation of Hilbert’s basis theorem for ... -
Approximate Integration of Modified Riesz Potentials
(Сибирский федеральный университет. Siberian Federal University., 2013-11)The estimates for the errors of quadrature formulas are deduced in the case of integration of potentials such as the Feller potential, which is a modification of the Riesz potential -
Problems of Bounding the p-Length and Fitting Height of Finite Soluble Groups
(Сибирский федеральный университет. Siberian Federal University., 2013-11)This paper is a survey of some open problems and recent results about bounding the Fitting height and p-length of finite soluble groups. In many problems of finite group theory, nowadays the classification greatly ... -
On the Solvability of one Class of Boundary-value Problems for Non-linear Integro-differential Equation in Kinetic Theory of Plazma
(Сибирский федеральный университет. Siberian Federal University., 2013-11)The work is devoted to the investigation of one class of non-linear integro-differential equations with the Hammerstein non-compact operator on the half-line. The mentioned class of equations has direct application in ... -
Simple Groups and Sylow Subgroups
(Сибирский федеральный университет. Siberian Federal University., 2013-11)Firstly a problem to characterize Sylow 2-subgroups (of small order 6 210) of finite simple groups is proposed. Next some (possibly necessery) reduction steps are discussde. The latter half of these notes is devoted to ... -
Construction of Some Simple Locally Finite Groups
(Сибирский федеральный университет. Siberian Federal University., 2013-11)We construct a proper class of simple locally finite groups. Namely for each infinite cardinal , we construct uncountably many pairwise non-isomorphic simple locally finite groups of cardinality , as a direct limit of ... -
Generation of a Sequence of Ultrasonic Signals for Measuring Liquid Flow Velocity Based on the Use of Gold Codes
(Сибирский федеральный университет. Siberian Federal University., 2013-11)In this paper a creation method of a sequences of acoustic signals is provided. These sequences have a very small cross- and auto-correlation for a specific ultrasound sensor. Using acquired results, a new method of ... -
Grobner-Shirshov Bases and PBW Theorems
(Сибирский федеральный университет. Siberian Federal University, 2013-11)We review some applications of Gr¨obner-Shirshov bases, including PBW theorems, linear bases of free universal algebras, normal forms for groups and semigroups, extensions of groups and algebras, embedding of algebras -
Subharmonic Functions on Complex Hyperplanes of Cn
(Сибирский федеральный университет. Siberian Federal University., 2013-11)In this paper is considered a class of m−wsh functions defined with relation ddcu ^ (ddc|z|2)n−m > 0, and is studied some properties of polar sets for this class