Математика и физика. Mathematics & Physics. 2016 9 (2)
Ресурсы коллекции
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Multiple Optima Identification Using Multi-strategy Multimodal Genetic Algorithm
(Сибирский федеральный университет. Siberian Federal University., 2016-06)Multimodal optimization (MMO) is the problem of finding many or all global and local optima. In this study, a novel approach based on a metaheuristic for designing multi-strategy genetic algorithm is proposed. The approach ... -
Topic Categorization Based on Collectives of TermWeighting Methods for Natural Language Call Routing
(Сибирский федеральный университет. Siberian Federal University., 2016-06)Natural language call routing is an important data analysis problem which can be applied in different do- mains including airspace industry. This paper presents the investigation of collectives of term weighting methods ... -
On the Properties of Solutions of Multidimensional Nonlinear Filtration Problem with Variable Density and Nonlocal Boundary Condition in the Case of Fast Diffusion
(Сибирский федеральный университет. Siberian Federal University., 2016-06)The conditions of global existence of solutions of a nonlinear filtration problem in an inhomogeneous medium are investigated in this paper. Various techniques such as the method of standard equations, self- similar ... -
Minimal Algebras of Unary Multioperations
(Сибирский федеральный университет. Siberian Federal University., 2016-06)A matrix impression of algebras of unary multioperations of a finite rank and the list of the identities which are carried out in such algebras are gained. These results are used for the proof of the main result: descriptions ... -
Application of Explicit Methods with Extended Stability Regions for Solving Stiff Problems
(Сибирский федеральный университет. Siberian Federal University., 2016-06)An algorithm is developed to determine coefficients of the stability polynomials such that the explicit Runge-Kutta methods have a predetermined shape and size of the stability region. Inequalities for accuracy and ... -
On Strongly Algebraically Closed Lattices
(Сибирский федеральный университет. Siberian Federal University., 2016-06)In this article some fundamental properties of existentially and algebraically closed lattices are investi- gated. We also define the notion of strongly algebraically closed lattices and we show that a q ′-compact complete ... -
Method for Obtaining Combinatorial Identities with Polynomial Coefficients by Means of Integral Representations
(Сибирский федеральный университет. Siberian Federal University., 2016-06)We propose a method how to derive combinatorial identities with polynomial coefficients by means of an integral representation of holomorphic functions in an n-circular linearly convex polyhedron. -
An Identification Problem of Nonlinear Lowest Term Coefficient in the Special Form for Two-Dimensional Semilinear Parabolic Equation
(Сибирский федеральный университет. Siberian Federal University., 2016-06)In this paper we investigate an identification problem of a coefficient at the nonlinear lowest term in a 2D semilinear parabolic equation with overdetermination conditions given on a smooth curve. The unknown coefficient ... -
The Synthesis Algorithm for Spatial Filtering to Maintain a Constant Level of the Useful Signal
(Сибирский федеральный университет. Siberian Federal University., 2016-06)The article discusses the theoretical basis of the two classical recursive algorithms beamforming - algorithm of the Kalman filter and least squares algorithm based on QR decomposition. On the basis of these two algorithms ... -
Probability Distribution Functions of the Sum of Squares of Random Variables in the Non-zero Mathematical Expectations
(Сибирский федеральный университет. Siberian Federal University., 2016-06)The article concluded probability distribution functions sum of the squares of the random variables in the non-zero expectations. The resulting distribution function is possible to create an efficient single-step phase ... -
On Solvability of Systems of Symbolic Polynomial Equations
(Сибирский федеральный университет. Siberian Federal University., 2016-06)Approaches to solving the systems of non-commutative polynomial equations in the form of formal power series (FPS) based on the relation with the corresponding commutative equations are developed. Every FPS is mapped to ... -
A Numerical Model of the Seasonal Thawing of Permafrost in the Swamp-lake Landscapes
(Сибирский федеральный университет. Siberian Federal University., 2016-06)The theoretical description of the temperature field in the soils during freezing or thawing is carried out using solutions of Stefan’s problem. A mathematical model based on the equations of thermal conductivity for ... -
Unification and Inference Rules in the Multi-modal Logic of Knowledge and Linear Time LTK
(Сибирский федеральный университет. Siberian Federal University., 2016-06)We study unification of formulas in multi-modal LTK logic and give a syntactic description of all formulas which are non-unificable in this logic. Passive inference rules are considered, it is shown that in LTK logic ... -
Bidiagonal Ranks of Completely (0-)simple Semigroups
(Сибирский федеральный университет. Siberian Federal University., 2016-06)A bidiogonal act over a semigroup is a two-sided act, where the semigroup acts on its Cartesian power. A bidiagonal rank of a semigroup is the least power of a generating set of the bidiagonal act over this semigroup. ... -
Solvability of One Nonlinear Boundary-value Problem for a System of Differential Equations of the Theory of Shallow Timoshenko-type Shells
(Сибирский федеральный университет. Siberian Federal University., 2016-06)Solvability of a system of nonlinear second order partial differential equations with given initial conditions is considered in the paper. Reduction of the initial system of equations to one nonlinear operator equation is ...