Математика и физика. Mathematics & Physics. 2016 9 (3)
Ресурсы коллекции
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On Normal Closures of Involutions in the Group of Limited Permutations
(Сибирский федеральный университет. Siberian Federal University., 2016-07)We study the group G = Lim(N) of limited permutations of a set N of all natural numbers. Found the link between the dispersion subsets of a set N and normal subgroups of G -
Multidimensional Analog of the Bernoulli Polynomials and its Properties
(Сибирский федеральный университет. Siberian Federal University., 2016-07)We consider a generalization of the Bernoulli numbers and polynomials to several variables, namely, we define the Bernoulli numbers associated with a rational cone and the corresponding Bernoulli polynomials. Also, we ... -
On a Class of A-Analytic Functions
(Сибирский федеральный университет. Siberian Federal University., 2016-07)We consider A-analytic functions in case when A is anti-holomorphic function. In paper for A-analytic functions the integral theorem of Cauchy, integral formula of Cauchy, expansion to Taylor series, expan- sion to Loran ... -
On the Solvability of a System of Two Multidimensional Loaded Parabolic Equations with the Cauchy Data
(Сибирский федеральный университет. Siberian Federal University., 2016-07)We study a multidimensional system of two loaded parabolic equations of a special kind with the Cauchy data. Sufficient conditions for the existence of a solution in the class of smooth bounded functions are obtained. ... -
Local R-observability of Differential-algebraic Equations
(Сибирский федеральный университет. Siberian Federal University., 2016-07)A nonlinear 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 arbitrarily ... -
The Trigonometry of Harnack Curves
(Сибирский федеральный университет. Siberian Federal University., 2016-07)Derive an explicit integral formula for the amoeba-to-coamoeba mapping in the case of polynomials that define Harnack curves. As a consequence obtain an exact description of the coamoebas of such polynomi- als. This ... -
Rigidity Conditions for the Boundaries of Submanifolds in a Riemannian Manifold
(Сибирский федеральный университет. Siberian Federal University., 2016-07)Developing A.D. Aleksandrov’s ideas, the first author proposed the following approach to study of rigid- ity problems for the boundary of a C0-submanifold in a smooth Riemannian manifold. Let Y1 be a two-dimensional ... -
A-priory Error of the Initial Conditions While Solving the Problem of the Space Vehicle Navigation Using Pulsar Signals
(Сибирский федеральный университет. Siberian Federal University., 2016-07)The problem of a space vehicles (SV) navigation while processing the moments of signals from several space sources of Roentgen illumination incoming taking into consideration random error of measurements is discussed in ... -
Mathematical Modeling of H-processes
(Сибирский федеральный университет. Siberian Federal University., 2016-07)The problem of the discrete continuous processes having "tubular" structure in space "input-output" variables’s modeling is investigated. The fact that when the trained parametrical models of "tubular" processes’s creating, ... -
Amplification of Light by Molecules with Selectively Oriented States in the Pulsed Electric Field
(Сибирский федеральный университет. Siberian Federal University., 2016-07)The possibility of inversionless amplification of light by dichroic molecules that can be oriented selectively over states by application of an pulsed electric field is analyzed. The numerical simulation of the orien- tation ... -
On Zeros of Holomorphic Functions
(Сибирский федеральный университет. Siberian Federal University., 2016-07)The aim of the article is to find conditions on the coefficients of the Taylor expansion of a holomorphic function in C that guarantee a absence of zeros -
Methods of Assessing the Characteristics of the Multiprocessor Computer System Adaptation Unit
(Сибирский федеральный университет. Siberian Federal University., 2016-07)The article presents the results of the development of mathematical models of the main methods for assessing efficiency indicators of multiprocessor computer systems adaptation unit multibeam antenna in real time and ... -
On One Two-dimensional Binary Mixture’s Motion in a Flat Layer
(Сибирский федеральный университет. Siberian Federal University., 2016-07)In this paper is estimated a special solution for solving thermal diffusion equations, that describe motion of binary mixture in a flat layer. When Reynolds number (Re ! 0) is small, it is possible to simplify these ... -
Analysis of the Stochastic Excitement in a Model of Flow Reactor
(Сибирский федеральный университет. Siberian Federal University., 2016-07)A probabilistic mechanism of the stochastic excitement in a model of flow reactor is studied. To analyze this phenomenon in regions of mono- and bistability the stochastic sensitivity function technique and the method ... -
Numerical Investigation of a Dependence of the Dynamic Contact Angle on the Contact Point Velocity in a Problem of the Convective Fluid Flow
(Сибирский федеральный университет. Siberian Federal University., 2016-07)A two-dimensional problem of the fluid flows with a dynamic contact angle is studied in the case of an uniformly moving contact point. Mathematical modeling of the flows is carried out with the help of the Oberbeck-Boussinesq ...