Vestnik KRAUNTS. Fiziko-matematicheskie nauki

15-25

Authors: A.P. Goryushkin

For separate classes of groups some relationships are revealed between two algorithmic prob-lems: problem calculation of index of a subgroup and occurrence problem.

32-40

Authors: M. Mamazhonov, Kh.B. Mamadalieva

In this paper we put two boundary value problems, and examines one of these problems for the equation of the third order parabolic-hyperbolic type (∂/∂x)(Lu) = 0 in a pentagonal area. We prove the unique solvability of the problem.

48-54

Authors: A.V. Vodyanova, Yu.V. Marapulets

The paper is devoted to the detection of the law of frequency distribution in high-frequency geoacoustic emission signals generated in the result of dislocation changes in sedimentary rocks. Sparse approximation is used for emission pulse processing. As a consequence, a signal is decomposed into atoms with a definite frequency corresponding to the size of a shear source. On the basis of Kolmogorov criteria, it was ascertained that distribution of atoms in a geoacoutstic signal corresponds to the lognormal law.

85-93

Authors: V.S. Yakovleva, P.M. Nagorskiy, G.A. Yakovlev

The results of analysis of existing measurement methods of radon flux density from the soil surface were presented in this work, and the revealed disadvantages of the methods were indicated. A new method of monitoring of undisturbed radon flux density from the soil surface, which is applied for its using in the large range of meteorological conditions, was developed. Outline of the method was given. The method is based on registration of α-radiation of radon decay products collected inside the accumulative chamber, which is installed on the soil surface. The accumulative chamber has some small vent holes for partial soil gas emission. The calibration procedure for determination of correction coefficient is described. The results of the method approbation and monitoring data, which was obtained by different methods, are discussed. The new method differs from its analogues in that it allows investigating daily variations of radon flux density.

107-111

Authors: M.M. Esonov, A.M. Esonov

This article discusses the implementation techniques of creativity in the classroom course on the theory of images. The development of spatial concepts, the systematization of knowledge about the properties of geometric figures and methods of their image.