Математика и физика. Mathematics & Physics. 2017 10 (4)
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On Some Properties of Adjoint Groups of Associative Nil Algebras
(Сибирский федеральный университет. Siberian Federal University, 2017-12)Local stepped configuration of adjoint groups of associated nil algebras is proved. Problems 8.67, 9.76, 13.53 from Kourovka Notebook are partially solved. A number of new issues are formulated. -
Influence of the Interfacial Internal Energy on the Thermocapillary Steady Flow
(Сибирский федеральный университет. Siberian Federal University, 2017-12)Two-dimensional creeping motion of a two immiscible viscous heat-conducting fluids on the interface for which the surface tension depends linearly on the temperature is investigated. On solid walls the temperature has ... -
On Non-parametric Models of Multidimensional Non-inertial Processes with Dependent input Variables
(Сибирский федеральный университет. Siberian Federal University, 2017)The problem of identification of multidimensional non-inertial systems with delay is considered. Components of the input vector are stochastically related, and this relationship is unknown a priori. Such processes have ... -
A Refinement of Kovalevskaya’s Theorem on Analytic Solvability of the Cauchy Problem
(Сибирский федеральный университет. Siberian Federal University, 2017-12)In this paper we give a proof of an analog of the Kovalevskaya theorem about analytic solvability of the Cauchy problem for a linear differential equation with constant coefficients. A major role in the proof is played ... -
Mathematical Models of the Motion of Submersible Apparat with Electromagnetic Expiation and Reception near the Sea Bottom
(Сибирский федеральный университет. Siberian Federal University, 2017-12)We give aqualitative assessment ofthe dispersion ofthe receivedelectromagnetic interferencedue to- variations inthe electrical conductivityof the mediumandthe distance to thesoilwhen search vehicle drivingneartheseawater-soil ... -
Nanodispersed Powders of Fe-Ni Particles with Carbon Shell
(Сибирский федеральный университет. Siberian Federal University, 2017-12)The initial carbon condensate containing nickel-iron nanoparticles with a graphite conversion was syn- thesized in the high-frequency carbon-helium arc plasma at ambient pressure. The nickel-iron particles were extracted ... -
The Neumann Problem after Spencer
(Сибирский федеральный университет. Siberian Federal University, 2017-12)When trying to extend the Hodge theory for elliptic complexes on compact closed manifolds to the case of compact manifolds with boundary one is led to a boundary value problem for the Laplacian of the complex which is ... -
Temperature-dependent Photoconductance and Optical Properties of In2O3 Thin Films Prepared by Autowave Oxidation
(Сибирский федеральный университет. Siberian Federal University, 2017-12)The influences of ultraviolet (UV) irradiation and temperature on the electrical and optical properties in In2O3 films obtained by autowave oxidation were measured experimentally. The film resistance changed slightly for ... -
Self-configuring Nature Inspired Algorithms for Combinatorial Optimization Problems
(Сибирский федеральный университет. Siberian Federal University, 2017-12)In this work authors introduce and study the self-configuring Genetic Algorithm (GA) and the self- configuring Ant Colony Optimization (ACO) algorithm and apply them to one of the most known combi- natorial optimization ... -
Quantum-chemical Research of Endohedral Yttrium Metallofullerenes
(Сибирский федеральный университет. Siberian Federal University, 2017-12)The structural and electronic properties of single molecule Y@C82, their join couple and crystal structure of Y@C82 were investigated by DFT-GGA approach. The calculations show that Y@C82 form stable crys- tal structures ... -
Weight q-multiplicities for Representations of sp4(C)
(Сибирский федеральный университет. Siberian Federal University, 2017-12)In this paper we present a closed formula for the values of the q-analog of Kostant’s partition function for the Lie algebra sp4(C) and use this result to give a simple formula for the q-multiplicity of a weight in the ... -
New Clusterization Method Based on Graph Connectivity Search
(Сибирский федеральный университет. Siberian Federal University, 2017-12)New method is proposed to identify clusters in datasets. The method is based on a sequential elimination of the longest distances in dataset, so that the relevant graph looses some edges. The method stops when the graph ... -
Synthesis of an Algorithm of Space-time Processing Received Satellite Navigation Signal and Spoofing Jamming
(Сибирский федеральный университет. Siberian Federal University, 2017-12)In the article, the theory of optimal filtering of information processes is used to synthesize an algorithm of space-time processing received satellite navigation signal and spoofing jamming. Equations of the optimal ... -
Coamoebas of Discriminants of Tetranomials
(Сибирский федеральный университет. Siberian Federal University, 2017-12)A method of construction of a coamoeba for a discriminant of a general tetranomial equatio is presented -
Probability-time Characteristics of GLONASS Navigation Signal Search
(Сибирский федеральный университет. Siberian Federal University, 2017-12)The article presents the results of calculations of probability-time characteristics of the signal in search of radio navigation equipment. Particular attention is paid to the calculation of the search time for ... -
On some Properties of Weighted Hilbert Spaces
(Сибирский федеральный университет. Siberian Federal University, 2017-12)We describe the weighted Hilbert spaces L2;w(Ω) with positive weight functions w(x) which are summable on every bounded interval. We give sufficient condition for L2;w1(Ω) space to be extension of L2;w2(Ω) space. We also ...