#### Pseudovector and its parallel displacement

Abstract
Covariant derivatives of tangent tensor and pseudotensor are considered. Parallel displacements of tangent tensor and pseudotensor are described.

IKBFU's Vestnik # Physics, mathematics, and technology

### Mathematics and computer science

#### Pseudovector and its parallel displacement

Abstract
#### A review of the existing generalizations of the Deuring Reduction Theorem

Abstract
#### Voss and Green's normalizations of hyperband distribution of affine space

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

Abstract
#### An analysis of sinusoidal waves in two-layer liquid

Abstract
#### A microclimate control system realization

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

Abstract
### Theoretical and experimental physics

#### Side resonances in diamond: influence of isotopic substitution of carbon

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

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

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

Abstract
#### An use of information technologies in a system of knowledge control

Abstract
### Mechanics

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

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 pK 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.

Voss and Green's normalizations of the main structural subbundles of hyperband distribution of H -distribution of affine space are constructed internally invariantly.

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.

A detailed analysis of sinusoidal waves in two-layer liquid is made. The dispersion relations for short and long waves are studied. The success was helped significantly by a technique created by us.

Interim results of the creation of the climate control system are presented. The algorithmic base of functioning of system is created. The control system of heating is realized.

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.

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.

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.

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.

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”.

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.

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.