In this article the mathematical model of transformation of biogenous substances forms, such as phosphorus, nitrogen and silicon, in water ecosystems by the example of the Azov Sea is constructed. The model considers absorption and excretion of nutrients by phytoplankton, and also transition of substances from one form to another. The equations system that describing model was studied for what linearization of system was made, the square functional was constructed. As a result of research sufficient conditions of uniqueness of the problem solution were received, the theorem was formulated.

Keywords: phytoplankton, phosphorus, nitrogen, silicon, biogene, chemical and biological source, equation of convection-diffusion-reaction, linearization, uniqueness of the decision of equations system

Analysis of the actual conditions of the experiment to test the adequacy of the models for calculating the electro-acoustic field, on the basis of information obtained during the test location systems and monitoring shows that they fully comply with the possible scope of the method of sequential analysis.

Keywords: computer, model, electroacoustics, radar, statistics, analysis, accuracy, reliability, probability, detection, object

Econometric analysis of the marriages number in Russia is presented in this article for the reflec-tion and predict of seasonal fluctuations. The additive model explaining 95% of the total variation of the time series levels of the of the marriages number during the study period is built.

Keywords: seasonal component, time series, marriages, econometric model, trend, random component, mov-ing average, analytical alignment

In this article the optimal use of unique equipment problem solving by means of genetic algorithm is considered. It is shown that the arising task is non-stationary, for its decision the hybrid population and genetic algorithm with adaptation of non-stationary decisions is used. On practice such problem is devided into two tasks: planning the optimal use of unique equipment for one week and direct management problem. Both problems are solved by means jf genetic algotithm.

Keywords: optimal use of unique equipment problem, genetic algorythm, dynamic knapsack problem, non-stationary solutions adaptation

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

The article describes the model of an ideal site in terms of search engine based on the search query. This model takes into account the different ranking factors, which is included ranking factors: behavioral ranking factors, external ranking factors and internal ranking factors. The model of the total evaluation site in the Internet according to the ranking factors.

Keywords: the ranking factor, the sorting sites, evaluation of site, the search engine, site optimization, Internet

"This paper provides a theoretical understanding of algorithms and data compression archivers created on their basis. Details the calculation of redundancy information, the compression ratio, the amount of information entropy of the text in the selected user's file. Based on Huffman and calculation formulas developed a program in the development environment Delphi «Analysis of the effectiveness of data compression and archiving,"" which allows you to compress the files selected by the user selected output tables archiver with the original and compressed file sizes, as well as to analyze the effectiveness of compression without making itself file compression that allows you to save you time. A randomly selected files are analyzed compression efficiency, the results of the analysis are presented in the form of screenshots from the program. The diagram compression ratio for one of the files."

Keywords: file type, compression, archiver, data redundancy, entropy, algorithm analysis, archive, Huffman

The article describes the slow flying drones with reference to problems of aerial photography. As an alternative to multicopter proposed aerodynamic design, elliptical flying wing. It has been shown that this scheme allows ensure uniform distribution of lifting force along the wing span, respectively, does not allow on loss of unmanned speed bogged down into a tailspin. The results of mathematical modeling and flight test a prototype of this type of UAV.

Keywords: unmanned aerial vehicle; elliptical wing; control laws; mathematic modeling; drone aircraft

This article discusses the concept of information security, its structure and development stages, shows the diversity and the equivalence of the remedies and discusses existing approaches to the formation of protecting corporate systems on the basis of which it was proposed to address this problem, based on the method of decision theory.

Keywords: information security, information security devices, knapsack problem, points of placement of remedies of information security, the formation of information security, distributed systems, mathematical model

The article is devoted to the experimental investigation of the influence of load regimes on the spectrum of induction motor current . Spectrogram analysis allows to identify the presence of deterioration and to determine the operating mode of the induction motor. The experimental apparatus described in the paper allows to measure motor current oscillogram and calculate its spectrum. The appratus is based on PIC highspeed microcontroller. For current measuring the Hall sensor ACS712 is used. Several experiments are carried out in the research: without load, with load, with shaft beating imitaion. The analys of collected data has shown that the spectrums has some differences depends on the type of motor load. The research may be used for diagnostic system for inductor motors.

Keywords: Induction motor, current sensor, microcontroller, current spectrum, fast Fourier transform.

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 method of investigation of latent conflict potential student administrative centers of the Federation of South Russia (for example, KCR). It is based on direct empirical data collected at the beginning of 2015 questioning of students of Karachay-Cherkessia State University. Distribution functions of the respondents to assess the cognitive component of the various components of latent conflict potential are provided. All these functions are divided by their sociological meaning of a number of groups: cognitive characteristics of socio-economic security, indicators of loyalty to the authorities (they also evaluate the legitimacy), and a large group of respondents to identify the level of protest. Using a consistent factorization, eventually the entire initial set reduced to three indicators of latent conflict potential: the index of socio-economic expectations indicator of legitimacy, the index of the protest. Distribution functions are provided for these characteristics. To assess the level of overall latent conflict potential is proposed to use a matrix of conflict, showing how the contributions of individual parties and the total effect.

Keywords: latent conflict potential, questioning, cognitive performance, distribution function, factor analysis, indexes, security, legitimacy of the protest, the matrix of latent conflict potential

In the paper we consider the multi-criteria resource allocation problem in hierarchical transport systems with interval optimal criteria. We build a general mathematical model with multi-criteria optimization problems. The optimal criteria are given in the form of piecewise constant functions. The problems are solved by searching for “optimal nodes” in multidimensional multi-valued cube. Every node of a cube defines own system of linear algebraic bilateral transport-type inequalities. By defining the order of criteria, the multi-criteria problem is reduced to single-criteria problem. This problem is solved on various subsets of the cube’s nodes. Solution is based on sequential checks of the compatibility of the system that defines resource allocation restrictions. If the system of the restrictions is given in the form of an oriented tree, checking the compatibility of the system is made with “modified boundaries” method. For the general case, we propose to use a generalization of the Agmon-Motzkin relaxation method of orthogonal projections. We considered a scheduling task for an enterprise as an example of applied problem.

Keywords: hierarchical transport system, resource allocation problem, multuindex system of linear algebraic inequalities, multicriteria optimization, multidimensional multivalued cube

The paper substantiates the necessity of the CFD analysis of AUUV. It presents an algorithm of hydrodynamic coefficients computation. The initial conditions and environment model for computation are defined. We present the CFD results and the approach of hydrodynamic coefficients analysis.

Keywords: AUUV hydrodynamics mathematical model polynom approximation software complex

The system is intended to automate the procedure of 3D-models calculation and formation for cooling heatsink of electronic components. Based on user input, the system calculates the design parameters of the heatsink in the mathematical core, then data enters the geometric kernel, where the construction and rendering of 3D-model takes place. The system allows to choose the type of heatsink being constructed, the method by calculations will occur, dimensions and material properties. The result is a 3D-model of the heatsink suitable for use in the design process.

Keywords: heatsink, computer-aided design, automation system, radioelectronic equipment, parameterization, geometric modeling, API

Simultaneous detection of obstacles in the near field of the mobile robot is extremely urgent and complex task. In general, environment around robot is very complicated due to differences in change of lighting conditions and viewing angles. These problems lead to decrease accuracy of obstacles recognition. They can change quickly. However, obstacles must occupy a certain region in space. In this paper, we propose algorithms for obstacle detection with algorithm "3D-point cloud". Algorithm contains some main steps: Creation 3D-point cloud, transformation «2D- Point Cloud», obtaining results. Obstacles are detected based on their specific areas. 3D-point cloud are obtained from the depth data. Using 3D-point clouds allows satisfying requirements for obstacle detection in real time. The experimental results show the effectiveness of proposed approach using in vision system of a mobile robot platform

Keywords: 3D-point cloud, 2D point cloud, obstacle, mobile robot, image recognition, depth image, Kinect, downsampling algorithm, clustering algorithm, k-mean clustering, Density-Based Spatial Clustering of Applications with Noise

In this paper, the technology of process simulation shooting remote sensing the Earth's surface in the optical spectrum of the radiation on the software and hardware complex. With his help, describe and forecast the qualitative characteristics of shooting in the simulation with high resolution linear assessment on the ground.

Keywords: remote sensing of the Earth's surface, software and hardware, virtual ground, the speed of movement of the image, panchromatic imagery, multispectral imagery, linear ground resolution

The experiments by obtaining 3-phase stator current oscillograms under different emergency regimes are described in article. For this purpose an experimental equipment has been used. It included current sensor, multi-channel ADC board, special block for emergency regime simulation and computer. For data processing MathCAD soft has been used. With Fast Fourier Transform algorithm the spectrum graphs were built. Analyse of spectrums showed the differences in odd harmonics between ordinary and any of emergency regime. For analyse the 0-1 kHz frequency range was taken. The research has shown that this technique can be used in diagnostics of 3-phase motors. General algorithm for real-time diagnostic system is developed.

Keywords: Three-phase induction motor, the current sensor, spectral analysis, harmonic, fast Fourier transform

In this article methods and tools for simulation of systems of remote sounding of the Earth's surface from space in the optical range of the radiation spectrum to optimize its structure and functional properties. The structure of complex information-measuring system of remote sensing to explore the experimental field through very difficult and very expensive in connection with the combination of various physical and technological processes occurring in it. The exit lies in the total use of natural and mathematical modeling with the use of modern IT-technologies, as the establishment phase and during the operational phase, with the aim of improving methods and design tools, as well as better control of equipment settings for advanced space systems (the free spectral range of physical intensity, linear resolution of the terrain and the performance of the system itself).

Keywords: remote sensing of the Earth's surface, space system, the system receiving and converting the information lens, an optical reception system, the underlying surface of the Earth, remote sensing, linear ground resolution

In this paper we propose mathematical model of implicit-pole synchronous generator of mini-CHP. The model is based on a full Park-Gorev differential equation. The saturation of the machine is taken by using the method of partial magnetic characteristics. This method allows most accurate evaluation of the change of parameters of an equivalent circuit of the nonsalient-pole generator in the absence of information about the magnetic properties of the machine. The model is Implemented in Simulink. Application of the model is possible when calculating the steady-state and transients in distribution electrical net wich contains implicit-pole synchronous generators.

Keywords: nonsalient-pole synchronous generator, implicit-pole generator, mathematical model, Park-Gorev differential equation, magnetic characteristics, transients

The paper presents an analysis of the relationship of cognitive and affective components of deprivation installations. The research is based on empirical data from survey conducted in early 2015 in Karachay State University. As indicators of deprivation plants used cognitive and emotional evaluation of individual socio-economic security. Cognitive measured by direct survey. Emotional - technology of semantic differential. It was found that these estimates do not correlate with each other. At the statistical level of the entire set of respondents cognitive appraisal always overpriced compared to the affective. Revealed the limitations of the measurement of relative deprivation accepted by direct questioning. It is shown that the developed method for measuring the earlier emotional perception of social processes and phenomena completely solves this problem.

Keywords: relative deprivation, installation, cognitive component, emotional assessment, directs interrogation technique of semantic differential, psycho semantic phenomenological analysis

The article discusses the optimization of transport costs and storage costs of wood biomass using mathematical modeling methods. The considered mathematical models allow to optimize transport costs by building the most efficient routes closed.

Keywords: transport timber, storage timber biomass, mathematical models, optimization

In this article is reviewed the mathematical model of the stepper motor. Analysis of mathematical models showed the presence of oscillation the impulse response, thereby requiring backup duration of the control pulse. The work provides an example the realization of algorithm for calculating a minimum time for one cycle of operation of stepper motor. The results of these studies can be used in the stepper motor control system to increase speed and reduce power consumption associated with the stepper motor control.

Keywords: stepper motor, mathematical model, the transfer function, damping coefficient, differential equation, the recurrence solution iterative solution

Calculate the aerial and / or hydrodynamic effects from the continuous medium required for the synthesis of an adequate control system. Numerical simulation of movement managed position-control trajectory mini-ship at small angles of heel and the presence of sea waves on the basis of a fully-mathematical model and the proposed methodology for assessing the hydrodynamic impact.

Keywords: surface mini-boat, position-control trajectory, aerohydrodynamics, mathematical model, nonlinear dynamics, CFD modeling, external disturbances

Within a stochastic approach the influence of the random component of the individual responses to the interpretation results data obtained by the technology of semantic differential is investigated. It is offered density of probability for the studied actor at the individual level to describe Fokker – Planck equation. For specific calculations is used the stochastic differential equations (Ito or Stratonovich) which is producing last. The distribution functions throughout the research pool are determined by the Monte Carlo method implemented in agent-oriented application package Any Logic. It is shown that the previously developed model of affective social attitudes easily fits into this scheme, and allows to appreciate the emotional components of attitudes, taking into account stochasticity original settings. The results of studying the dependence of the result variance from errors in the primary parameters are given. It is obtained that the relative errors for both are of one order. The article shows the structural stability of the model at the individual and group levels.

Keywords: stochastic approach, the instability of answers, semantic differential, emotional components, a phenomenological model, the Fokker – Planck equation, stochastic differential equation, multi-agent modeling, structural stability