The purpose and objectives of this work consist in the development of regularization methods for solving systems of linear equations. For their achievements in this paper we propose a modified least squares method for solving systems of linear equations, which is based on the use of q-differentiation. Calculations based on a test of task performed in Matlab mathematical package, confirmed the adequacy of the method and in some cases have shown its advantage over traditional methods for the regularization of systems of linear equations.

Keywords: system of linear equations, the objective function, the gradient method, iterative method, modeling, algorithm, function extremum, q-derivative, relative error, norm of the vector, the conditionality of the problem

In order to assess the strength of the bone tissue in patients undergoing joint replacement of the knee or hip joint, resected bone fragments were tested on a test-stand, ИСС/М-Scaime ZF-500, installed at the department of traumatology and orthopedics of the Rostov state medical university. Later, the bone strength indicators were compared to the following: data obtained from densitometry, gender, age and the osteoporosis risk factors of the patient. Based on multivariate analysis, medical treatment and rehabilitation methods were devised for the patients after a joint replacement of the knee or hip joint.

Keywords: osteoporosis, osteopenia, bone strength, knee joint replacement, hip joint replacement, test-stand.

In this work the problem definition of the country and city of object of a geolocation on the basis of its coordinates is considered (latitudes and longitudes). The main objective of work is the automated determination of location and a binding of location-based objects to the countries and the cities in the world. The received algorithm allows to define concrete location of objects in a format of the countries/cities and to create own base that is actual for the majority of location-based web services and appendices, and also provides the decision for the following circle of tasks: definition of the country and city of object on the basis of its coordinates; formation of statistical these objects on the basis of the made base of the cities and countries; automatic expansion of base of the cities and countries at addition of bigger number of objects; possibility of a filtration of objects about the country or to the city.

Keywords: geolocation, the location-based Google service, determination of location of object, the automated finding of location-based object, location-based web service.

Two approaches are proposed for constructing a road graph for routing mobile robot in a closed system of corridors with a focus on the use of the robot computer vision to identify the entrances to the rooms from the hallway. In the first version of the graph the vertices correspond to the two types of objects: connection points (branching intersection) corridors and location of entrances - each input corresponds to only one vertex. The second version for the formation of the graph allows to concider returns of the robot and the robot motion in the joints of the corridors. For each room's entry formed two vertices to describe the robot motion in all directions.

Keywords: routing, road graph, mobile robot

This article describes the issues on the basis of scientific research and the data produced in-depth analysis of technical condition of water spending long maintained facilities for further classification of defects and damages, as well as the prediction of their remaining life. Mathematical and software was built on the length of the projected water filtration since the beginning of the construction survey. Program - technical complex in the survey predicts the loss of bearing capacity as the structure as a whole and its constituent elements from the moment of injury. In the future, software and hardware predicted time total loss bearing capacity of the construction, using various regression dependence. Technical possibilities of application systems allow calculation of the geometric characteristics of different defects and damages on the surface of structures, and in some of its elements. Presented Program - technical complex for solving the problem of forecasting residual resource of water conveyance structures can be used to create a database during the operation of these structures over a long period of operation that will extend the life cycle of water conveyance structures with regard to their reliability parameters. The basic provisions on the organization of determination and prediction of residual life long maintained water conveyance structures, identification of defects and damages, assessment of suitability taking into account the reliability of the parameters, for further use water conveyance facilities.

Keywords: monitoring, automation, carrying water facilities, livneotvodyaschie facilities, software and hardware, reinforced concrete, technical condition.

The architecture of the distributed information systems (IS) is considered, with use of the office of the closed systems of mass service (SMS) and a method of the enclosed Markov's chains the analitiko-numerical model of this class IS with remote execution in the conditions of the low level of load of a network traffic is developed. The following stages of creation of this model are offered: conceptual representation of functioning of system; formation of full space of conditions of the chain of Markov enclosed in casual process; a choice of the moments of regeneration of messages in system; definition of space of conditions of a chain of Markov taking into account restrictions; calculation of a matrix of transitional probabilities; receiving formulas of calculation of characteristics of the distributed IS on the basis of a vector of the stationary distribution of probabilities (SDP) at the moments of regeneration of messages. The analitiko-numerical model offered and in detail considered in article can be realized in any high-level programming language and respectively serve as the highly effective tool for carrying out experiments with a research objective of behavior of the distributed IS at various values of its external and internal parameters.

Keywords: the distributed information system, replication, network traffic, remote execution, Poisson stream, erlangovsky stream, method of the enclosed Markov's chains, space of states, the moments of regeneration, matrix of transitional probabilities

"The article presents a new method for preparing fine-grained concrete mixtures. The mixture contains Portland cement, silica sand, disperse mineral micro stuff agent and additive superplasticizer. How micro stuff agent used opal - carbonate- kristabolitovyh kremnizemistyh flasks. As a plasticizer was injected superplasticizer POLYPLAST SP-1. New method of preparing fine-grained concrete mix is enclosed in a change of the order of mixing the components and homogenizing. The concrete mixture should be mixed in two stages. The first stage was stirred cement, micro stuff agent, a portion quartz sand and a portion of the mixing water. In the second stage added the rest of the sand, water and superplasticizer. Then finally all the components are stirred until a homogeneous mixture. This method provides reduction of cement consumption by 15% and the superplasticizer by 25%. The proposed method is protected by patent for the invention № 2535321. "

Keywords: fine-grained concrete. disperse mineral micro stuff agent. additive superplasticizer, the method of preparation of the mixture

We investigated the creep of concrete arches based on the following theories: the theory of linear creep by Harutyunyan-Maslov, kinetic theory, the theory of flow, theory of aging, and nonlinear theory of Y. Gurieva. We considered viscoelastic model of the concrete, ie total strain was represented as the sum of elastic strain and creep strain. Solution of the problem was carried out by finite element method. We considered the arch rigidly clamped at the ends and loaded with a uniformly distributed load. Graphs of growth of deflection and stress distribution in the reinforcement and concrete are represented. We obtained the substantial redistribution of stress between the reinforcement and the concrete during creep: in reinforcement stresses increased and in concrete stresses decreased. The strongest redistribution occurs on the theory Y. Gureva.

Keywords: reinforced concrete arch, creep theory of heredity, aging theory, the theory of flow, kinetic theory, finite element method, stress-strain state

The article describes the features of the design of control systems based on renewable and alternative energy sources. These are managed by a fuzzy logic element specially formed the basis of the rules. A new approach to improve the energy efficiency of autonomous systems by changing the management structure.

Keywords: Renewable energy sources, design, evaluation, planning, energy efficiency, monitoring, forecasting, development prospects

A proposed approach to monitoring technological processes of transport of gas, in particular examines the main input and output parameters of gas pumping units, transmission system, affecting the quality indicators of the transported product (natural gas).

Keywords: Natural gas compressor station gas compressor unit, elements, input parameter, output parameter, supercharger

In this paper, we consider the problem of development of equivalent circuit of non-linear element with the current-voltage characteristic controlled either voltage or current, which can be modeled without any changes of scheme in accordance with design requirements. For solving the problem we use an analog-digital-analog element. The current-voltage characteristic of this element is determined by the program of the digital device work. To approximate the characteristics of non-linear elements we apply polynomials of varying degrees - segments of the Taylor series, Maclaurin, Lagrange, et al. In our opinion, the solution of such a problem is relevant.

Keywords: Synthesis schemes, non-linear circuits, equivalent transformations, analog-digital-analog element, non-linear resistance, controllable voltage source, Taylor series, Maclaurin, Lagrange polynomials

The morphology of the modified Portland cement hydration products was studied transmission electron microscopy. The combined effect of polyvinyl alcohol (PVA) and sucrose on the morphology of hydrosilicates nanoparticles has a synergistic character. he presence of PVA enhances the effect of sucrose. The effect of synergism must be considered in the preparation of multicomponent modifier compositions including PVA

Keywords: "modified cement stone, transmission electron microscopy, the morphology of nanoparticles of hydrosilicates, sucrose, PVA, synergistic effect. "

In this article the social health of the student youth as a social phenomenon is considered in the context of the theory of structural marginality. The author describes and explains the condition of the marginalized status of the student youth of the South of Russia. Social health of the student youth of the South of Russia is a reflection of the degree of her marginal position in society.

Keywords: "Social health, Russian student youth, structural marginality, status, social value, satisfaction with life, the South of Russia. "

Receiving adequate mathematical model requires studying of streams of inquiries into the information system which are described as random variables. The purpose of the analysis is definition of density function of distribution of random variables - time intervals between inquiries of users. The offered method contains stages at which check of independence and similarity of distribution of random variables is carried out, stationarities of a stream and the law of distribution of intervals of time between events is defined. For check of independence and similarity of distribution of random variables the criterias based on selective coefficients of correlation and the criteria which are based on the spectral density of intervals are used. For the analysis of stationarity of a stream of inquiries the standard methods of the smallest square regression and methods based on the analysis of special mathematical models are used. For example, Poisson's stream which parameter changes under some law is supposed. Sequences of the events displaced by casual influences are presented as the events happening according to the schedule with delays in the form of the independent and equally distributed random variables. For comparison of intensity of streams of inquiries from various users of information system the criterion based on the relation of function of maximum similarity and an index of dispersion is used. The offered technique is focused on using of the modern computer programs, for example, MatLab, Statistika.

Keywords: Modeling, inquiry, distribution, random variable, flow of events, intensity, statistical analysis, criterion, stationarity of the Poisson process, the level of significance

In this article the social health of the student youth as a social phenomenon is considered in the context of the theory of structural marginality. The author describes and explains the condition of the marginalized status of the student youth of the South of Russia. Social health of the student youth of the South of Russia is a reflection of the degree of her marginal position in society.

Keywords: Social health, Russian student youth, structural marginality, status, social value, satisfaction with life, the South of Russia