The article discusses the features of the criminal situation in the North Caucasus economic region, identifies and analyzes the indicators of total crime, violent crimes, economic crimes and crimes in the sphere of drug trafficking. Geographical factors of crimes are identified. It was found that the North Caucasus has a substantial territorial differentiation of total crime, murders and attempted murders, intentional infliction of grievous bodily harm, rape and attempted rape, robberies, thefts, robberies, crimes in the sphere of economic activity, drug-related crimes. Comparisons with the all-Russian situation are given. Percentage of certain types of crimes in the overall structure of wrongful acts were calculated. Dynamics of certain types of crimes were determined. Significant changes in the structure of drug consumption were revealed. One of the drug leaders is the North Ossetia region, which straddles major drug trafficking from abroad to the Russian Federation. The main directions of optimization of the situation were determined. Raising living standards, reducing the number of unemployed can significantly reduce the crime rate and the number of terrorist attacks. It is necessary to pay special attention to the reduction of latency of crimes in the region.

The interest taken by Russian researchers in studying the ethnic structure of the Russian population is due to a number of factors. First, Russia is a multiethnic country, with both vast areas sparsely inhabited by the small peoples of the North and the Far East, and areas with various ethnic groups concentrated together - the South of Siberia, the Volga region, the North Caucasus. Second, the contemporary migration processes change the ethnic structure of the population in the Russian regions, whereas the distribution of certain peoples comes along with the change in the geography [6]. Third, it has been shown that a high rate of transformation in the ethnic structure can lead to an increase in inter-ethnic tensions in certain regions. All these factors above, revealing the comprehensive nature of the current ethnic processes, account for the respective scientific interest.

The article analyses various types of well-kill fluids that can be used when carrying out repair work of gas and gas condensate wells with high formation temperatures. Killing fluids based on the emulsion or polymer solution (without solid phase) are determined to have a number of disadvantages which significantly limit their use in such conditions. The possibility and perspectives of using the compounds with a condensed solid phase as killing luids under high formation temperatures are theoretically proved. The article also notes that the solution formed in the solid phase is supposed to treat as acid chemical compounds and provide the possibility of complete removal of its particles from the bottomhole formation zone during acidic treatments.

Repair and recovery works in wells of gas and gas condensate fields at the late stage of development are characterized by increased complexity due to the geological and technical situation. High infiltration of traditional well-killing fluids under conditions of high repression promotes the formation of a signiicant zone of their penetration into the formation which sharply worsens the iltration characteristics of the formation and creates a number of intractable problems in the development of wells after repair. The article gives the analysis of properties and search for various materials potentially possessing blocking parameters. The peculiarities of using plant-based fillers to process fluids used in repair work in wells for the purpose of qualitative killing of wells with temporary blocking of the productive formation are considered. The results of the experimental researches showed that the agents-illers based on agricultural waste products make it possible to obtain a foaming system withstanding high pressure drop on the formation capable of blocking the bottomhole zone in the process of killing the well and at low depressions easily removable from the formation, completely retaining its permeability.

The paper presents the analysis findings of informativity of geophysical methods for solving the problem of searching collectors saturated with oil and gas in the Paleogene on the territory of Eastern Ciscaucasia. Despite the rather long history of studying clay collectors, their unconventionality has a signiicant impact on the reliability of the results of geophysical well investigations. Traditional geological evaluation of "state-like" collectors is difficult due to significant lateral variability of rock properties, as evidenced by the results of testing the collectors of Khadum suite. As a result of the analysis of field-geophysical data, characterizing the deposits of Khadum suite for five fields in Stavropol Territory, it was found that the productive intervals, according to sampling results, are characterized by the increased values of natural gamma activity, in the intervals, where the core was not sampled, it is preferable to use the results of drill cuttings analysis obtained by the nuclear magnetic resonance method. The reliability of the segregation of collectors in argillite-like reservoirs by using geophysical methods of well investigations is enhanced by the inclusion of the spectrometric and broadband acoustic logging methods into the complex.

We consider the features of the territorial structure of investment projects in the Stavropol Territory, as well as the specifics of the effect of intra-regional factors of attraction and placement of investments in this article. We have collected information that is presented on the official websites of the state authorities of the region, and on their basis have developed own database of data. Geography and industry affiliation of investment projects are compared with the territorial and sectoral structure of the economy that has emerged in the region in this study. We showed that the link between the territorial and sectoral structure of investments, the horizon of their planning, the total amount of funds and the likelihood of implementing investment projects and their placement in the territorial system exists at the intra-regional level. It is proved that investments tend to urban, stable elements of the territorial structure of the economy of the region (industrial centers, nodes and points, federal highways), concentrating labor resources and having high consumer demand and usually correspond to local specialization of the territory.

Distribution of ixodid ticks, as well as other temporary ectoparasites, is determined by the location of their hosts and abiotic factors. One of the numerous species of iхodid ticks in Ciscaucasia is Hyalomma marginatum Koch - an active carrier of the Crimean haemor-rhagic fever. In the territory of Stavropol Region there is a favourable environment for the habitation of this species. At the same time, in each landscape province, the thermal conditions and the number of hosts of the imago are very different, which affects the survival, development and abundance of this species. H. marginatum is found around the Stavropol Region, preferring semi-desert, steppe and meadow habitats. Hosts of imagoes of H. marginatum in the Stavropol region is, mainly, cattle. The greatest importance as hosts of larvae and nymphs are abundant species of birds feeding on the ground, hare and hedgehogs. The number of ticks increases from mountainous to semi-desert landscapes where it is widespread and is the dominant species.

The purpose of the packers is determined by the specific technological tasks. The design of the packer and the principle of bringing it into action shall provide protection from premature wear during the tripping process. In addition, the design of the packer should ensure manufacturability of its use and reliable control over the work in the well during the hydraulic fracturing, regardless of the depth of the installation. Experience with the use of packers for the test beds showed that in most cases pokerwise items become inoperative due to the destruction of the lower part of the rubber element. In practice, the isolation annulus packers with different ways of planting is important and necessary to ensure reliable ixing of the packer at the place of installation in the borehole. This happens due to the use of anchoring unit and different designs of seals of the packers.

This article presents interconnection intraconnection facies of mountain landscapes of river valleys of the upper reaches of the Kuban Western Caucasus using geochemical methods. The study of the interconnection of the lateral relationships of chain of interrelated varieties of landscape series of facies in all geobotanical high-altitude zones allowed us to trace the distribution of chemical elements heavy metals in soil and vegetation components, facies and organisms invertebrates. The indices of multiple correlation reflect the state of the intrasystem interconnects links of the facies, their specificity and sustainability. The index values in most of the facies (except fir forests) testify to the predominance of unstable and weakly stable relations, they are more dependent on external factors and a predisposition to processes of transformation. The indices of tension bioecosystem ties allowed the typology of geochemical environments for the different facies of medium and high mountains landscapes.

The effect of the magnetic field on heat transfer processes of a magnetized steel plate cooled in a magnetic fluid is experimentally studied. Thermocouples were installed at six points on the surface of the plate along its length. The plots of temperature versus time are obtained in the absence of a magnetic field and in magnetic fields of different intensity. It is found that the intensity of heat exchange depends to a large extent on the magnitude of the magnetic field and on the location of points on the surface of the plate. In a magnetic field, cooling of the central part of the plate occurs with the same intensity as in the absence of a magnetic field and with a lower intensity in comparison with other points on the surface of the plate. Near the plate ends, the cooling rate of the surface is much greater in the magnetic ield than in the absence of it. With increasing magnetic field strength, the cooling rate of points in the central part of the plate decreases and is less than in the absence of a magnetic field. The dependence of heat transfer on the magnitude of the magnetic ield is explained by the distribution of the magnetic forces acting on the liquid surrounding the plate and the nature of the vapor-air cavities formed near its surface. Experiments on simulation of formation and the shape of vapor-air cavities in a liquid surrounding a magnetizing plate are described.

The construction of a heat exchange element based on a matrix of silicon whiskers for thermal stabilization systems of miniature heat sources with specific power up to 100 W / cm² operating over a wide range of ambient temperatures is proposed. Based on the developed mathematical model of convective heat transfer in a microchannel compact heat exchanger with a developed heat exchange surface, numerical simulation of the hydrodynamics and heat transfer processes for various configurations of microchannel insertions was carried out. Fields of pressures, flow velocities, coolant temperatures and matrix from silicon single crystals have been obtained in a wide range of coolant flow rates, criteria dependencies for the Nusselt number and pressure losses of various geometric conigurations of heat exchangers have been determined. Critical operation modes are investigated, optimization directions are proposed. According to the developed technology, prototypes for testing have been manufactured.

The Article is devoted to the problem of accelerating the convergence of polynomial and rational approximations of functions. In the theory of approximation of functions often used the idea of reducing the interval change in the argument as a method to accelerate the convergence of exponential and rational approximations, approximating this function. In this article, using this idea, a first for this function builds a branching continued fraction, whose branches are either functional series, functional or chain fractions. In this case, the branching continued fraction representing this function is a fractal and at the same time compresses the range of variation of the argument in 2* (k = 1, 2, ...) time, where 2* is the number of branches of the branched chain fraction. That is, the computation of this function at the point x is to compute x/2^k, which is natural and leads to acceleration of convergence of exponential and rational approximations. To build a new rational approximations of branching continued fraction (fractal) is replaced by prefractals - chain-branching fraction with a finite number of links. Here each link is replaced by the polynomial finite chain fraction. In the result, we can obtain arbitrarily many rational approximations.

Discusses empirical functions that are specified approximately, for example, based on some measurements of the observed process or phenomenon, obtained in the experiment. Such functions are often encountered in problems of mathematical physics and related numerical models that use these data. In this case the current task is the restoration or construction of the original function by an approximate data, which is solved in the constructive theory of functions and theory of approximations of functions. The work implements the approach according to which the studied functions are the so-called singular integrals. In a number of application tasks desired functions as the assumptions it prescribes a representation in the form of a Stieltjes integral. A similar situation can take place in the theory of potentials and the theoretical physics problems that use integral operators of potential type. This approach significantly expands the content side of the apparatus of approximation of functions, giving it greater efficiency and clarity in those tasks when you have to "construct" a model study of the functional dependence on approximate data. In this case, the processing schemes that are associated with the practical implementation of the method set out in applications that in some cases can be much simpler and more efficient algorithms that are required for the implementation of integral representations of functions based on singular integrals. In the present work, the investigated function is in the form of the integral, Riemann-Stieltjes, on this view, formulate the corresponding optimization problem and defines its solution. Consider examples of integrals of performance of the studied functions and the corresponding computational scheme. We investigate the properties of the resulting approximate solutions and their relationship to the properties of the original functions. Outlines a technique of the generalized differentiation of integrals representations of functions, the issues of regularization convergence of integral operators of generalized differentiation. An example of the construction of Stieltjes integrals based on a given set of parameterized functions are formulated and proved two lemmas that determine the choice of appropriate parameters in the computational model.

The paper analyzes the features of the application of the additional computer-human communication channel within the neurocomputer (brain-computer) and oculografic interfaces. A mathematical model of the functioning of this channel and its influence on the decision making by the user, taking into account the change in the accuracy of the definition of the user-generated command, depending on the time of the process analysis, is developed. The model is based on the approach according to which when receiving information about the nature of signal processing by the hardware and software part of the interface, the user can change his state, which influences the further processing of the results. Numerical modeling for neurocomputer and ocu-lograic interfaces was carried out, the values of the time ranges during which the presentation of information on the results of the preliminary classification of the user's commands can provide an improvement in the results of work. The obtained results allow to optimize the use of the developed technologies of the additional human-computer communication channel in the aspect of increasing the speed of their work.

In this paper a numerical solution of the problem of digital image filtering with the use of the Residue Number System (RNS) instead of the known binary arithmetic proposes. It is substantiated that the application of the non-position RNS will allow increasing the speed and reducing power consumption of digital image processing applications. Analyzed known schemes, based on which the process of image filtration occurs. The inefficiency of the application of known schemes is substantiated, connected with the possibility of errors due to the overflow of the dynamic range of the RNS. A new scheme of the filtration transformation process is given, which allows obtaining correct results of digital processing, independent of the size of the digital image being processed and the filter mask. The obtained results can be used in the construction of specialized digital image processing systems with low power consumption and high speed of operation.