The article describes the problems of mathematical modeling of large systems. Scientific novelty of the work consists in the implementation of a new numerical method for solving systems of linear algebraic equations. This method is based on a targeted random search and stochastic calculations whith using of cloud technologies.

Keywords: system of linear algebraic equations, cloud computing, self-organization, metric

In the article the problems of formation of labor potential as a factor determining competitive advanage in today s economy/ The authors listed serveral factors that affect the structure, composithion of the workforce and the basic elements of development of labor potential.

Keywords: knowledge economy, human capital, competence, intellectual potential, labour potential

The efficiency of algorithms of the adaptive temporal sampling (ATS) is defined by compressibility of an analog signal. For the purpose of prior assessment of compressibility of measuring signals the dependence of the current clock period of measurement in case of ATS from dynamic properties of a signal is considered. Depending on a priori known characteristics of dynamic properties of signals and the given error of approximation select a method of interpolation or extrapolation. In article the dependence of the current clock period of measurement on differential properties of a signal for an ideal algorithm of ATS of interpolation type is received. Restoration of a signal after ATS an interpolation polynomial of Lagrange n-oh of a level is supposed. The quality of approximation is set by criterion of uniform approximation. It is shown that the analysis of ideal ATS of interpolation type comes down to the analysis of the equivalent on value of a section of approximation of ideal ATS of extrapolation type.

Keywords: Adaptive temporary sampling, measurement step, structural properties of a signal, interpolation, reproduction error

Article considers the fundamentals of the organization of construction works in cramped conditions of the current town-planning situation, the impact of construction works on the environment, and a brief description of the negative impact factors is provided. The expediency of a systematic approach to improving the quality of construction is shown, including taking into account the assessment of the state of the environment and the need to reduce the negative impact of construction and installation works on nearby built-up areas. The necessity of taking into account measures to reduce the levels of negative impact on the environment during the project development of the production of works is substantiated, and a number of recommendations are given on the organization of construction works.

Keywords: construction, cramped urban conditions, organizational and technological design, technological processes, environment, organization of construction, construction technologies, construction and installation works, means of mechanization, environmental safe

The article presents the results and outlines the prospects of scientific research of technological processes in cramped urban conditions. The expediency of a systematic approach to improving the quality of construction is shown, including taking into account the assessment of the state of the environment and the need to reduce the negative impact of construction works on nearby built-up areas. The necessity of taking into account the above factors in the development of the project for the production of works is substantiated.

Keywords: construction, cramped urban conditions, organizational and technological design, technological processes, environment, organization of construction, construction technologies, construction and installation works, means of mechanization, environmental safe

in article the algorithm of a posteriori calculation of heart rate on record EX. The algorithm produces the allocation of QRS complex for R-teeth, the classification of complexes into two types: normal and artifact complexes. It is proposed to classify the analysis of contours and measurement of interference at the frequency of 50 Hz. This classification can significantly improve the measurement accuracy of the instantaneous heart rate compared to the moving average

Keywords: frequency of cardiac abbreviations, RR interval, QRS complex, Holter monitoring, selection of artifacts of the FORMER, the algorithm for calculating heart rate, contour, RR–interferometry

When managing complex systems, for example, an industrial enterprise, an organization, a socio-economic system, etc., it is necessary to take into account the fact that they can be considered as polystructural systems, i.e. as a set of heterogeneous systems, interconnected. A poly-structural system is understood to mean a variety of different components, differing in physical properties, functional purpose, complexity of the internal structure, representing a single whole. The article deals with the management of a polystructural system based on the preparation of management decision making by experts who can evaluate an alternative from the standpoint of a specialist of several elements of a polystructural system. To develop methods for determining and selecting an informed management solution, a polystructural system is considered from the standpoint of system theory and system analysis. A mathematical model is developed, which is the basis for creating information and algorithmic support for the management of the polystructural system.

Keywords: management of a polystructural system, the choice of an administrative decision, indicators, a problem situation, the method of analyzing hierarchies, reducing the complexity of the examination

The efficiency of algorithms of the adaptive temporal sampling (ATS) is defined by compression ratio of an analog signal. For the purpose of prior assessment of compressibility of measuring signals the dependence of the current clock period of measurement in case of ATS from dynamic properties of a signal is considered. Based on the dependence of the current clock period of measurement on dynamic properties of a signal received earlier, formulas for assessment of value of a clock period of measurement in case of interpolation are received by Lagrange's polynomial of a 0th level and a class of the signals restricted to the selected structural model. The functional dependence of the current clock period of measurement from structural properties of a signal, in case of Lagrange's polynomial of a 0th level, allows to determine the average duration of a clock period of measurement in case of ATS. Value of average duration of a clock period of measurement in case of ATS allows to estimate value of compression ratio a priori. As assessment of an error of approximation it is selected, often used in case of restoration of signals, criterion of uniform approximation.

Keywords: adaptive temporary sampling, measurement step, structural properties of a signal, interpolation, Lagrange's polynom, reproduction error

It is necessary to switch implementation and cheching of practical and laboratory works into remote mode in order to increase learning efficiency. Then the training process can be individualized by means of directing a student to resolve the problem depending on learning results. It can be easily realized by tools of learning management systems if problems to solve can be checked by tests. Automated scoring can be used in case of impossibility of using tests. But automated scoring can’t completely save trainer from works checking. That is why the opportunity of trainer overwork appears. A technique of definition the opportunity of blended learning and learning individualization degree in case of practical and laboratory works is presented in the paper. The technique was used to check the training efficiency in blended individualized learning in case of practical and laboratory works in classes «System modeling and control automation» and «Systemology and control systems reengineering».

Keywords: blended learning, distance learning, practical work, laboratory work, learning individualization, complex open ended assignment, institute

There are different training control techniques developed to increase training and learning efficiency. Mainly they are focused on problems which can be checked by tests. But there is a large class of problems which can’t be checked by tests. These include the most of complex open ended assignments, assignments which help to form skills. The existing control techniques are examined in the paper. The basic control techniques types are observed and the most efficient type based on process approach is defined. A training control technique based on error classification is developed within the process approach. Error categories in complex open ended assignments are defined: current training course errors, finished training course errors, errors, which don’t belong to knowledge and skills.

Keywords: training control, adaptive control, process approach, complex open ended assignment, error classification, error generalization

The article investigates approaches to managing currency risks on the Moscow exchange based on static hedging and taking into account the features of the Russian derivatives market. For more delicate managing currency risks, it is proposed to use barrier options that are not traded on the Moscow exchange. It is shown that the barrier option can be replicated with the portfolio of European options, the strike prices of which are the barrier and the strike price of the barrier option. The main idea behind the approach applied is replication of zero price of the up-an-out call (in the case of crossing the barrier) by the linear combination of European call options with different time to expiry. Examples of constructing replicating portfolios of options on the futures contract for the US dollar - Russian ruble are given . Further analysis of the portfolio's value dynamics demonstrates the inadequacy of the classical Black-Scholes model for the Russian derivatives market. The approaches of static hedging barrier options in jump models are disscussed.

Keywords: mathematical modeling, numerical method, mathematical finance, barrier options, Black-Scholes model, static hedging, Levy models, derivatives market.

The article considers the problem of estimating production risks and risks of occupational injuries based on the assessment of the impact factors of the labor process. Definition of factors of production environment, harmful to the health of workers and comparative analysis of the working conditions for harmful production factors one.

Keywords: the risk of production of harmful and dangerous production factors, industrial injuries, working conditions

The estimation of intensity of patenting of results of intellectual activity by a scientific group is offered in the article. An example of its calculation is given following the analysis of Petrozavodsk State University data

Keywords: index of intensity of patenting, research group, university, h-index, RSCI

The model of reactive power compensation system calculation in industrial enterprises and power systems electric networks is developed. The authors take into account three main problems: multidimensionality, informational fragmentation and incompleteness of information. The quadratic model of  reactive power compensation is examined. The calculation method main phases which uses all the advantages of quadratic model and methods of its improvement are given.

Keywords: compensating devices, reactive power compensation, power system, industrial enterprises electric networks, quadratic model, mathematical model, incompleteness of information

The study on the hardness of samples from steel ST3 and 15G. On the basis of the correlation equations obtained values of ultimate strength of the examined steels. With the application of the law of three-parameter Weibull distribution constructed density distribution and the resulting minimum value of ultimate strength. The obtained results are proposed to use to determine the value of the resource for load-bearing systems of vehicles.

Keywords: reliability, lifetime, the hardness of steel, strength of steels, the endurance limit of steels, the Weibull law