IKBFU's Vestnik

Physics, mathematics, and technology

Mathematics and computer science

A review of the existing generalizations of the Deuring Reduction Theorem

Abstract

The article is focused on various generalizations of the Deuring Reduction Theorem. Our research proves that the most appropriate theorem for further elaboration is the one that relates the decomposition of pK into prime ideals with the decomposition of A[p] into indecomposable BT1-group schemes up to isomorphism. The article investigates basic problems of the theorem's further generalization and some ways of solving them as well as formulates tasks for further work in this direction.

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Akivis derivation formulas and Laptev structure equations on the surface of an affine space

Abstract

The smooth surface in affine space is considered. With the derivation formulas and equations of the structure of an affine space constructed three pairs Akivis-Laptev on the surface. It is shown that the surface of an affine space is a holonomic smooth manifold.

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A new way of solving the problem of the sinusoidal waves on the surface of a homogeneous perfect fluid

Abstract

We consider a new way of solving the problem of the sinusoidal wave on the surface of a homogeneous perfect fluid. Its feature is used instead of the potential speed of the original characteristics of wave motion: horizontal and vertical components of the velocity and pressure. It is noted that it will generalize the problem under consideration in the event of a multi-layer liquid. The results, including the dispersion relation, fully consistent with the known. Specially considered long-wave approximation.

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Theoretical and experimental physics

Side resonances in diamond: influence of isotopic substitution of carbon

Abstract

We discuss the structure of optically detected magnetic resonance (ODMR) spectra of diamond crystal. We propose the new approach to the calculation of hyperfine interaction in composed system, consisted of negatively charged nitrogen-vacancy (NV) center and nearby C13 nuclear spin. Energy levels, rule selection and radiative transitions are obtained by new method. It is obtained the estimation of the carbon hyperfine splitting parameters in the diamond NV- center from side-resonance frequencies in the frame of this method. The base of this method is the using of entangled spin states.

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Influence of solar and geomagnetic activity on the diurnal variations of NmF2 in winter in the middle latitudes

Abstract

The paper presents the results of the study according to day 27 at different longitudes by solar and geomagnetic activity in January 2012-2015. The dependence of the daily variations of NmF2 of the level of solar activity. It is shown that the dependence of NmF2 and solar activity is linear in nature, different at different stations.

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Digital smart technologies as a method of expansion of educational field physical laboratory of general physics

Abstract

We study the problem of expanding workshops on physics at the inclusion of interactive digital technologies. The article introduced the concept of internal and external IQ software users. As part of the a workshop on the physics, to the intelligent digital technologies include computer algebra systems, virtual instrumentation. The examples two laboratory works on atomic physics, illustrating methods of expansion of educational resources by means of intelligent digital technology. In the first study the motion of electrons in a magnetic field along a helical line. In the second, combines the advantages of a prism spectrometer with digital spectrometer. It is shown that the developed method improves the accuracy of measurement and calculation of physical parameters.

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Heterogeneous models of problem and instrumental diagnostic environment for decision-support in complex diagnostic problem

Abstract

We represents the results of research in the area of two-level representation of complex diagnostic problem (at macro- and microlevel). We also represents the results of development of stratifiable model of concilium, which corresponds the new scientific worldview in respect to medical diagnostic and health informatics. This model displays heterogeneous cooperative clinical collective work of experts in small groups “at the round table”.

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An use of information technologies in a system of knowledge control

Abstract

The article dwells upon a problem of building the educational process in the informational society. А modern education requires continuous quality improvement of the educational process, оne of the bases of which is pedagogical knowledge control. The article is devoted to the problem of the use of information technologies in the system of knowledge control. The article covers the issues of user experience of the test system of knowledge control, variants of question types, tasks, requirements to the test system.

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Mechanics

The dynamics of the dispersible particle which is blown off from a flat level by the laminar Couette layer

Abstract

Character of influence Saffmena force on the particles out of the layer is detected. The longitudinal velocity of the particle can be more fluid speed, then the power Saffmena will be directed to the surface. In these circumstances we need a big initial vertical velocity of the particle to reach the outer layer of the border.

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