Математика и физика. Mathematics & Physics. 2022 15 (4)
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Modeling of a Differential Laser Sensing System for Detecting Low Concentrations of Methane in the Surface Layer
(Сибирский федеральный университет. Siberian Federal University, 2022-08)The relevance of research is due to the need for remote monitoring of the atmosphere for the presence of suspended matter. The application of this method for exploration in geo-prospecting will make it possible to identify ... -
A Nonlocal Problem for a Third Order Parabolic-Hyperbolic Equation with a Singular Coefficient
(Сибирский федеральный университет. Siberian Federal University, 2022-08)Non-classical problem with an integral condition for parabolic-hyperbolic equation of the third order is formulated and studied in this paper. The unique solvability of the problem was proved using the method integral ... -
Integration of Mathematical and Computer Simulation Modeling in Engineering Education
(Сибирский федеральный университет. Siberian Federal University, 2022-08)The development of modern engineering, technology, science and education is impossible without the use of computer mathematics systems. Nowadays, an engineer should be equally proficient in both methods of mathematical ... -
Numerical-and-analytic Method for Solving Cauchy Problem of One-dimensional Gas Dynamics
(Сибирский федеральный университет. Siberian Federal University, 2022-08)The equations describing the flow of a one-dimensional barotropic perfect gas are considered in this paper. Conservation laws of a special kind were found for these equations. The Cauchy problem is reduced to several ... -
Estimates for Mittag-Leffler Functions with Smooth Phase Depending on Two Variables
(Сибирский федеральный университет. Siberian Federal University, 2022-08)In this paper we consider the problem on estimates for Mittag-Leffler functions with the smooth phase functions of two variables having singularities of type D∞, D ± 4 and Ar. The generalisation is that we replace the ... -
New Structure of Paracompact Spaces
(Сибирский федеральный университет. Siberian Federal University, 2022-08)In this paper author introduce and study the new class of paracompact spaces called g∗ ωα-paracompact spaces as a generalization of paracompact spaces. Authors characterize g∗ ωα-paracompact spaces and study their some ... -
ESR and 57Fe M¨ossbauer Spectroscopy Study of Fe-doped SrBi2Nb2O9
(Сибирский федеральный университет. Siberian Federal University, 2022-08)Solid solutions of Bi2SrNb2−2xFe2xO9−δ have been obtained by solid-phase synthesis. The electronic state and nature of the local environment of iron atoms in the SrBi2Nb2O9 matrix with a layered perovskite-like structure ... -
On the Nonparametric Estimation of the Functional Regression Based on Censored Data under Strong Mixing Condition
(Сибирский федеральный университет. Siberian Federal University, 2022-08)In this paper, we are concerned with local linear nonparametric estimation of the regression function in the censorship model when the covariates take values in a semimetric space. Then, we establish the pointwise ... -
Intellectual Ways of Solving the Problem of Constructing the Optimal Route of an Unmanned Aerial Vehicle in the Conditions of Counteraction
(Сибирский федеральный университет. Siberian Federal University, 2022-08)Traditional and modern algorithms for solving the problem of planning the optimal route of an unmanned aerial vehicle under the influence of low-altitude air defense systems is presented in the paper. The principles of ... -
Centralizers in the Diagonal Direct Limits of the Symmetric Groups and of the Monomial Groups
(Сибирский федеральный университет. Siberian Federal University, 2022-08)Centralizers of finite subgroups in the direct limit of the finite and finitary symmetric groups via strictly diagonal embeddings is characterized in 2015 by G¨uven, Kegel and Kuzucuo˘glu. In this paper this idea is ... -
Compact MacCormac-type Schemes Applied for Atmospheric Escape Problem
(Сибирский федеральный университет. Siberian Federal University, 2022-08)This article discusses the advantages of the compact MacCormack-type scheme over its original version when modeling the hydrodynamic outflow of planetary atmospheres caused by the absorption of ultraviolet radiation from ... -
Solid-state Synthesis of Cu6Sn5 Intermetallic in Sn/Cu Thin Films
(Сибирский федеральный университет. Siberian Federal University, 2022-08)The study results of solid-state synthesis of the Cu6Sn5 intermetallic in the Sn/Cu thinfilm systems during vacuum annealing from room temperature to 300 ◦C are presented. The initiation and finishing temperatures of the ... -
Estimating the Inverse Distribution Function at the Boundary
(Сибирский федеральный университет. Siberian Federal University, 2022-08)Most of existing quantile estimators have problems of inefficiency in extreme quantiles. To solve this problem, in this paper we suggested an alternative estimator and provided its asymptotic behaviour when quantile near ...