Математика и физика. Mathematics & Physics. 2015 8 (2)
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Towards a Universal Embedded Atom Method Interatomic Potential for Pure Metals
(Сибирский федеральный университет. Siberian Federal University., 2015-05)A new interatomic potential for metals based on the embedded atom method is proposed in this paper. Some approximation of electron density distribution is suggested from the basic principles of quantum mechanics. The ... -
A Hybrid Method for Evaluating Absorbed Solar Energy at the Surface Level Using Remote Sensing Data
(Сибирский федеральный университет. Siberian Federal University., 2015-05)A new method to evaluate the solar energy absorbed by the surface using remote sensing data and the method of basic spectra is presented. The proposed method allows one to calculate parameters of radiation transferring ... -
Interaction Quality in Human-Human Conversations: Problems and Possible Solutions
(Сибирский федеральный университет. Siberian Federal University., 2015-05)Speech analysis nowadays is widespread. One of its applications is designing Spoken Dialogue Systems, which allow users to interact with computer systems using natural spoken language. The Interaction Quality is a quality ... -
Automated Recognition of Paralinguistic Signals in Spoken Dialogue Systems: Ways of Improvement
(Сибирский федеральный университет. Siberian Federal University., 2015-05)The ability of artificial systems to recognize paralinguistic signals, such as emotions, depression, or openness, is useful in various applications. However, the performance of such recognizers is not yet perfect. In ... -
Adaptive Identification Method of a Signal from Stray Magnetic Field Sensor for Turbogenerator Diagnostics
(Сибирский федеральный университет. Siberian Federal University., 2015-05)The topic of this paper is dictated by the necessity to improve the reliability of methods for deter- mining a short circuit of rotor winding with the use of the stray magnetic field sensor installed at the turbogenerator ... -
The Properties of the Solutions for Cauchy Problem of Nonlinear Parabolic Equations in Non-Divergent Form with Density
(Сибирский федеральный университет. Siberian Federal University., 2015-05)We investigate the solutions for the following nonlinear degenerate parabolic equation in non-divergent form with density |x|n @u @t = umdiv |∇u|p−2 ∇u We discuss the properties, which are different from those ... -
On the Cauchy Problem for Multidimensional Difference Equations in Rational Cone
(Сибирский федеральный университет. Siberian Federal University., 2015-05)The Cauchy problem for multidimensional difference equations in rational cone is formulated and suf- ficient condition for its solvability is given. The notion of multisection of multiple Laurent series with the support ... -
Analytic Continuation of Power Series by Means of Interpolating the Coefficients by Meromorphic Functions
(Сибирский федеральный университет. Siberian Federal University., 2015-05)We study the problem of analytic continuation of a power series across an open arc on the boundary of the circle of convergence. The answer is given in terms of a meromorphic function of a special form that interpolates ... -
The Uniqueness of the Translation-invariant Gibbs Measure for Four State HC-models on a Cayley Tree
(Сибирский федеральный университет. Siberian Federal University., 2015-05)We consider fertile Hard-Core (HC) models with activity parameter > 0 and four states on the Cayley tree of order two. It is known that there are three types of such models. In this paper for each of these models the ... -
Detection of Regularity Violations of Cyclic Processes in a Temperature Monitoring System Using Patterns Form
(Сибирский федеральный университет. Siberian Federal University., 2015-05)Periodicity mining is used for predicting trends in time series data. Discovering the rate at which the time series is periodic has always been an obstacle for fully automated periodicity mining. In this paper, a method ... -
Baroclinic Seiches for Three-Layer Density Stratification in the Basin of Rectangular Shape
(Сибирский федеральный университет. Siberian Federal University., 2015-05)The problem of linear baroclinic seiches in rectangular basin is considered. It is supposed that density is stratified into three layers. Internal waves are not taken into account. It is shown that one-dimensional model ... -
Unsteady 2D Motions a Viscous Fluid Described by Partially Invariant Solutions to the Navier–Stokes Equations
(Сибирский федеральный университет. Siberian Federal University., 2015-05)3D continuous subalgebra is used to searching partially invariant solution of viscous incompressible fluid equations. It can be interpreted as a 2D motion of one or two immiscible fluids in plane channel. The arising ... -
An Integral Formula for the Number of Lattice Points in a Domain
(Сибирский федеральный университет. Siberian Federal University., 2015-05)Using the multidimensional logarithmic residue we show a simple formula for the difference between the number of integer points in a bounded domain of Rn and the volume of this domain. The difference proves to be the ... -
A Class of Special Empirical Processes of Independence
(Сибирский федеральный университет. Siberian Federal University., 2015-05)In this paper we investigate the asymptotic properties of one class of empirical processes for certain classes of integrable functions