Математика и физика. Mathematics & Physics. 2017 10 (3)
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Asymptotically Exact Method for Calculation of Density of States in HTSC
(Сибирский федеральный университет. Siberian Federal University, 2017-09)The work presents the method of restoring a spectral density from known Green’s function. The method is based on a combination of Monte Carlo and gradient descent algorithms, which avoids the problem of distortion of the ... -
Construction of Series of Perfect Lattices by Layer Superposition
(Сибирский федеральный университет. Siberian Federal University, 2017-09)We construct a new series of perfect lattices in n dimensions by the layer superposition method of Delaunay-Barnes -
Equationally Extremal Semilattices
(Сибирский федеральный университет. Siberian Federal University, 2017-09)In the current paper we study extremal semilattices with respect to their equational properties. In the class Sn of all semilattices of order n we find semilattices which have maximal (minimal) number of consistent ... -
Algebraic Sets with Fully Characteristic Radicals
(Сибирский федеральный университет. Siberian Federal University, 2017-09)We obtain a necessary and sufficient condition for an algebraic set in a group to have a fully character- istic radical. As a result, we see that if the radical of a system of equation S over a group G is fully characteristic, ... -
Densification of a Viscous Porous Layer with Consideration for Elastic Effects
(Сибирский федеральный университет. Siberian Federal University, 2017-09)A viscous flow of a horizontal compressible layer under the gravity and constant external pressure is considered in this paper. It is assumed that medium motion is quasi-static and uniaxial, and the reversible and ... -
On Convergence of Mellin-Barnes Integrals Representing Solutions of General Algebraic Systems of 3 Equations with 3 Variables
(Сибирский федеральный университет. Siberian Federal University, 2017-09)We consider the Mellin-Barnes integral that corresponds to a monomial function of a solution to a system of n algebraic equations in n variables. For n = 3 we prove that a known necessary condition for convergence for ... -
Set Functions and Probability Distributions of a Finite Random Sets
(Сибирский федеральный университет. Siberian Federal University, 2017-09)This paper is the investigation of the probability distributions of a finite random set in which the set of random events are considered as a support of the finite random set. These probability distributions can be defined ... -
Optimization of the Magnetoelastic Oscillations Amplitudes in the Ferrite Plate
(Сибирский федеральный университет. Siberian Federal University, 2017-09)The maximum amplitudes of elastic vibrations, depending on the material parameters and parameters of external fields in a normally magnetized anisotropic magnetic plate at its excitation by radio frequency magnetic field ... -
Differential Controllability of Linear Systems of Differential-algebraic Equations
(Сибирский федеральный университет. Siberian Federal University, 2017-09)Linear controllable system of first order ordinary differential equations is considered. The system is unresolved with respect to the derivative of the unknown function and it is identically degenerate in the domain. An ... -
On the Limit Distribution of Sums of Real Random Variables
(Сибирский федеральный университет. Siberian Federal University, 2017-09)Considers centered sequence of absolutely continuous random variables with a non-trivial weak limit of the sums p1 n Σn i=1 i. We found a general view of the limit distribution. It is shown that the form of the limit ... -
On Algebraic Approach of R. Wille and B. Ganter in the Investigation of Texts
(Сибирский федеральный университет. Siberian Federal University, 2017-09)The statement of the problem of a binary classification by precedents using formal concept lattices is given, in which the initial data are two binary contexts. It is specified that this problem is intractable due to the ... -
Anisotropic Ising Model with Countable Set of Spin Values on Cayley Tree
(Сибирский федеральный университет. Siberian Federal University, 2017-09)In this paper we investigate of an infinite system of functional equations for the Ising model with com- peting interactions and countable spin values 0; 1; : : : and non zero filed on a Cayley tree of order two. We ... -
On Local Solvability of the System of the Equations of One Dimensional Motion of Magma
(Сибирский федеральный университет. Siberian Federal University, 2017-09)The local solvability of initial-boundary value problem for the system of the equations of non stationary motion of magma is proved -
Limit Halbach Figure
(Сибирский федеральный университет. Siberian Federal University, 2017-09)The shape of a figure of a system that is built on the principle of Halbach and that has a maximum field at own center is obtained -
Characterizations of Simple Linear Groups in the Class of Periodic Groups
(Сибирский федеральный университет. Siberian Federal University, 2017-09)This paper is a survey of some results about the structure of periodic groups saturated with finite simple groups of Lie type. It is based on a talk of authors given on the XI workshop on Group theory dedicated to the ... -
Centralizers of Finite p-Subgroups in Simple Locally Finite Groups
(Сибирский федеральный университет. Siberian Federal University, 2017-09)We are interested in the following questions of B. Hartley: (1) Is it true that, in an infinite, simple locally finite group, if the centralizer of a finite subgroup is linear, then G is linear? (2) For a finite subgroup ... -
Automorphisms of the AT4(6; 6; 3)-graph and its Strongly-regular Graphs
(Сибирский федеральный университет. Siberian Federal University, 2017-09)Koolen and Jurisich defined class of AT4-graphs (tight antipodal graph of diameter 4). Among these graphs available graph with intersection array f288; 245; 48; 1; 1; 24; 245; 288g on v = 1 + 288 + 2940 + 576 + 2 = 3807 ...