The mathematical model formalizes the solution of a problem of optimum control and  the minimization of regional extremist system’s number (bandit underground) is meaningful taking into account the relative importance of its parts with the restrictions caused by "will" of the state to fight against extremism and the objective dynamics of the extremist groups number, defined by the ethno-and-sociocultural protest potential factors. The problem was solved by means of imitating modeling basing on scenarios method. The results of scenery modeling of republican bandit underground dynamics are obtained depending on different variants of the power influence, in conjunction with different options of republican community development. The results of modeling calculations on fixing of a range of scenarios of quantitative dynamics of separate groups layers of a republican bandit underground are given. The identification of modeling parameters according to scenarios is executed and interpretation of the received results and practical recommendations on optimization of combating regional terrorist underground is presented.

Keywords: Mathematical model, scenery modeling, extremism, bandit underground, dynamics of number of groups layers of extremists, problem region, North Caucasus.

Article is devoted studying of design parameters water jet aerator. Water jet aerator it is used for saturation of water by oxygen on purification works. In article research methods are described, in particular, possibility of use of computer modeling by means of program complex ANSYS 11 is considered.

Keywords: Water jet aerator, purification works, computer modeling, and jet aeration.

Existing theoretical positions impact of government (regional and municipal) governments on the development of the service sector is expected to maintain an appropriate ratio between the market and state intervention in the economy and the economic life of enterprises and organizations of this sector of the economy of the region. It can be achieved by observing a general principle, the essence of which lies in the presence of competition wherever possible adjustment where necessary.
Keywords: services, forms, methods, state, government regulation, federal programs, organizational and economic transformation.

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In a review article, the author conducts a detailed study of various aspects of housing and communal services, market factors and conditions that affect the processes of its development. Draw conclusions about the necessity of combining the active position of the federal investigation into the issues of reforming the sphere with a variety of forms and methods of transformation in the regions and municipalities, which in turn will minimize the administrative impact and preserve the overall guiding role of the state in the reform of housing and communal services to the local the specifics of the industry in the transition mode breakeven operation.
Keywords: development, housing and communal services, public utilities, public services market, the economic environment, the reform processes.

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Offers intelligent method of assessing the reliability of data (verification), in databases, based on the theory of artificial neural networks. The method consists of three steps: data clustering using the Kohonen network, training radial basic network and its computation using the validation database table rows. To create a radial basis networks and their training Backpropagation developed software tool. The proposed verification method of data can be used in various applications of information systems.
Keywords: database, relational algebra, verification, radial basis neural network training neural networks, Kohonen networks, clustering.

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In this paper, a comparative analysis of the shift parameter distribution initial set of calculated analytical method and simulated, obtained by computer simulation using sample data. Error δi shifts between the parameters listed in the table and plotted errors on the scope and volume of the aggregate.
Thus, increasing the volume of the aggregate error is reduced from 30% to 1% at a constant volume sample m = 50.
Keywords: sampling, aggregate, volume, range, accuracy, distribution, performance analysis, engineering, reliability.

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The paper proposes a mathematical model of inter-symbol distortion compensation data transfer status RAT distillation devices using vector-matrix transformation. 
Keywords: mathematical model, the inter-symbol distortion distilleries RAT operator transfer and interaction Preemphasis vector.

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The main problems of designing telecommunication equipment. The principles of construction of communication and information networks, telecommunications technology and equipment. Proposed design automation wireless links algorithm aided design of modern wireless systems, and its implementation in the module microwave network.
Keywords: radio relay communication lines (RRL) algorithm aided design, calculation of parameters of the radio, the software module.

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Considered sharing FEM and BEM for the calculation of the dynamic behavior of the surface structures on the basis of a multilayer. To implement the BEM in calculating base proposed analytical method is effective for an arbitrary number of layers and the relations of their parameters. Given system approximating functions in the interface methods and proposed numerical integration formulas on the mating elements.
Keywords: finite element method, boundary element method, laminated base, fundamental solutions.

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