Brain neural networks models based on the model of Hodgkin-Huxley and the inhibitory and excitatory postsynaptic potentials EPSP and IPSP balance problem are investigated. The problem of the inhibitory and excitatory postsynaptic potential balance, affecting such person's ability as learning, memory, movement, ability to analyze and so on has great scientific and practical importance. Implementation of the model Hodgkin-Huxley in the Matlab environment is made. Model modification is considered given the occurrence of a synapse in neuron system.

Keywords: mathematical modeling, EPSP, IPSP, ionic channel, modified model parameter, neural network model, Hodgkin-Huxley

Non-invasive cuff-free methods of blood pressure measurement are being developed actively that will make measuring in everyday life conditions comfortable. The method offered includes 4 steps: choice of a finger, calculation of a generalized skin option, presetting and measuring. To improve the accuracy of measurements, the finger with the greatest temperature sensitivity was revealed and the value of generalized skin option was defined during the experimental verification. In accordance with the developed algorithm the presetting step is meant to determine the coefficient of proportionality which is necessary for measuring blood pressure. This method enables the increase of accuracy of measurements due to taking into account the adaptation to changes in the ambient temperature and individual skin options.

Keywords: control, blood pressure, temperature, distal phalanges, blood, environment, skin option

The article describes the role of reduced order models (ROM) in MEMS design & testing, reflects their advantages in comparison with the finite element method (FEM) full models for real-time behavioral modeling of MEMS dynamic characteristics and versatile research of the objects' properties. The mathematical interpretation of the procedure for reducing the system dynamics equations order by switching from the full model presented in the form of state variables equations to the ROM state variables equations is given, the four existing scientific methods for reducing the FEM model order are presented in generalized form. The particularities of embedded ANSYS software capabilities application to automatically generate the ROM from the original full FEM model with lower computer power requirements and the preservation of the original model accuracy in the presence of only the structural mechanics are set out in details. Two equal algorithms for further work with the ROM in MatLab software in order to simulate the MEMS dynamics and study time and frequency properties of the model are presented: by designing the scheme consisting of prearranged Simulink function blocks and by writing an M-file program listing using the special MatLab programming language. Scientific novelty of the results is the combination of the methods for MEMS design (system of partial differential equations, ANSYS program) and behavioral modeling (system of ordinary differential equations, MatLab program) that can significantly reduce the complexity of the FEM model adaptation to the real-time modeling and eliminate computation errors.

Keywords: micro-electro-mechanical system, finite element method, behavioral modeling, reduced order model, ANSYS, MatLab

The article introduces a new advanced algorithm design foam suit, taking into account the expected exploitation of clothing in conditions of hydrostatic pressure, which determined the rationale for the introduction of common cycle design work additional modules problem-analytical content. In these modules for information on effective parameters of dry constructions (human heat loss and required for the thickness of the thermal protection areas), calculations shall be made in the numerical simulation of sphere that iterations mode algorithm design, allow theoretically test the line selected foam it required thermal protection. The proposed algorithm justified by the peculiarities of traditional methods of designing clothes and existing development methods of calculation of wetsuits, as well as conformity of vector design priority market trends.

Keywords: designing clothing, wetsuit, algorithm design, thermal protection, hydrostatic pressure, stages of design works, light industry, underwater tourism,industrial technology

A description is presented of software to convert the results of FEM analysis in an external 3D format for visualization this results in stereo with the ability to display a grid of geometry and Mises stress in the form of a color fill. Developed a stereo viewer of 3D models in anaglyphs method with using shaders. Developed graphical user interface. Studies done of the influence of the scene parameters on stereo image on the projector. Stereo effect was achieved using 3D models with materials, calculation of specular light, replacing with a cyan on the green filter and made the design of stereo scenes for depth perception.

Keywords: simulation, computer graphics, geodesic domes, convertation, visualization, method of anaglyphs

Content Based Image Retrieval is a one of the most popular search methods used in large-scale databases. Comparison the query image with each image of large scale database leads to lowering the systems performance. In this article are considered different clustering algorithms. They may be used for optimizing image searching access period.

Keywords: CBIR, clustering, K-means, fuzzy C-means (FCM), Possibilistic C-means (PCM), bio inspired algorithm

This article discusses some of the problems arising in the study of political processes of network modeling methods. The relation of concepts, models and their practical application in the analysis of political events is analyzed. The purpose of work is to examine the hypothesis testing problem in the practice of political analysis using empirical methods in the field of cooperation between public institutions and networks of civic engagement structures. It is shown that the use of network modeling methods to move from descriptive methods, cluster analysis to statistical models, reproducing the interaction of political subjects, which makes it possible to produce test of hypotheses by empirical methods. Statistical models combine the methods of qualitative analysis and quantitative methods of hypotheses verification and application of the results of various concepts in political practice. Revealed the limitations of the use of the research capacity of the network models, associated with incomplete empirical data obtained during the field research that requires the experiments, various forms of observation and interviews. Results of the analysis and forecasting can be used in the practice of "network management", aimed at the impact on the network structure by changing the institutional rules and regulations.

Keywords: network statistical models, network management, policy diffusion, diffusion of innovations

Construction of three-dimensional structures faces the need to cover the hard concrete layer with lightweight insulation and waterproof carpet. This combination of materials with different mechanical and physical properties requires the creation of methods for determining the stress-strain state of elastic composite layer lying on absolutely solid. According to these criteria the general solution of elasticity theory problem for each layer has been calculated. The system of differential equations is solved. A homogeneous solution can be used to study various problems of stress state in a layer. Formation of the problem of infinitely extending beamless surface has been drawn as an example. These solutions can be used in studding various problems of stress state layer. The solutions of engineering problems require the definition of complex roots of transcendental characteristic equation. In this paper, the roots were determined by Newton`s method. The obtained roots of the characteristic equation determine the stress and displacements in each point of a composite layer.

Keywords: eigenvalues, eigenfunctions, boundary conditions, a potential solution, vortex solution, differential operators, homogeneous system, the voltage of the plate

The paper presents a classification of two-dimensional as well as three-dimensional fractals, fractal characteristics, methods for modeling fractals. The algorithm of visualization fractals have used in the "3D simulation of fractals" software for the first time. The points’ generator module unites the points of space into a set of triangular finite elements in the environment of the computing complex SCAD. Complex fractal geometry have transformed into a spatial finite element model of the fractal.

Keywords: fractal, non-Euclidean geometry, fractal characteristics, two-dimensional fractals, three- dimensional fractals, 3D modeling fractal, energy of fractal, iterations of modeling fractals

To increase the production output of products made by winding methods from composite materials used multiple spindle filament winding CNC machines. In this paper presents a mathematical model of five-axis duplex spindle filament winding machines as a system of differential nonlinear equations to solve the problem of modeling the trajectory of movement of the working bodies of the winding machine and the results of numerical experiments carried out with this model.

Keywords: winding methods, multiple spindle filament winding CNC machines, mathematical model of five-axis duplex spindle filament winding machines

Some experimental regularities obtained on the basis of monitoring and modeling the emotional perception of social processes, which are carried out from 2009 to the present moment by method of semantic differential are given. Total for this period were surveyed several thousand respondents, mainly students of Rostov-on-Don, Grozny, Vladikavkaz and Karachaevsk. And also the politically active part of the population of Rostov-on-Don. The purpose of the survey was to identify the emotional perception of the local and central political orders, own level of relative deprivation, cultural infrastructure and cultural life of the city as a whole, own emotional state. Received partial confirmation law factorization primary space of Ch. Osgood. For all these objects and any groups primary semantic signs reduced to three-four factors. However, we have shown that this regularity is observed only for the classical factorization method, in which the factors are identified based on the minimization of a specific random residue. For other methods of factoring the number of identified indicators of latent increases. Should be noted that this result was not previously observed in the literature. The second part of the Osgood’s law the nature of latent indicators as the factors of assessment, force and activity doesn't possess such commonality. For our subjects splitting primary signs into bunches doesn't occur, all signs are mixed in each factor. Results of the factor analysis, received by a cognitive part of the questionnaire has shown, as for these parameters the same regularity is carried out, as for a semantic part. All set of primary signs reduced to four-five latent factors. Cognitive part of the questionnaire has no relation to a technique of semantic differential. Common for both parts of the questionnaire is rating scales are used. And the result suggests that the observed regularity factorization by Osgood is not connected with the specific semantic space and emotional perception, and is a special case of a general factorization of any rating scale. For verification of this assumption was conducted the research results of poll SFU’s students to identify satisfaction with the educational process carried out in 2015. Questioning had purely cognitive character, 20 primary cognitive signs characterizing educational process from various parties have been used. In total, about 4,000 students were surveyed. Factorization of the classical method showed that the three indicators describe the 95% of the variation of the primary signs, and four - 97%. It convincingly shows the general nature of factorization of both semantic, and cognitive rating scales. We have suggested that the nature of such regularities lies in the psycho-physiological peculiarities of the formation of the respondents estimates. On average the person estimates any object no more than on three – four factors. In attempt to increase the number of estimated parameters is beginning to follow the correlation between them. This result makes for a fresh look at the development of questionnaires and on the adequacy of many of previous polls. It turns out that the use of large scale (the number of parameters to be estimated much more than four) does not make sense, they still rolled up to four factors. In this case the adequacy of the results will be decrease. Identify a limited perception of the estimated parameters is an additional source of errors in the measurement results. Fully it belongs to all earlier received results on a large rating scales.

Keywords: semantic differential, Osgood, semantic space, factor analysis, the classical method, latent factors, rating scales, experimental regularity factorization scales, psycho-physiological nature of the law factorization

Created single-stage model of silicon solar cell using PC1D v.5.9 program, designed to simulate the photovoltaic devices. In the process of simulation change the level of doping and thickness of the n + type layer of the front, as well as applied texturing the front surface. The influence of the doping level and the thickness of the n + type layer in the photovoltaic solar cell characteristics. It was determined that with the increase of the doping level and the thickness of the front n + -layer a decrease in the efficiency of solar cells. It was found that the use of texturing the front surface leads to an increase in efficiency and is associated with reduced reflection losses and an increase in the photocurrent.

Keywords: Silicon solar cell thickness, doping levels, texturing, current-voltage characteristic

The work is dedicated to the analysis such indicator of the contentious background as an emotional state. The study has both theoretical and practical orientation. The theoretical framework discusses the origins of the relationship of latent protest with this indicator. In practical terms, the work adapts to the problem conditions previously developed measurement technique according to the technology of semantic differential. Testing was conducted on the basis of concrete experimental data obtained by questionnaire survey among students DSTU (faculty "Innovative business and management") at the end of 2015. The Survey was of a pilot nature, was attended by 79 students, mostly 2 - 4 courses. To measure the affective component respondents were asked to characterize the semantic scales of his real emotional state, as well as two perfect construct. Measured the affective level of perception of the emotional state based on the proximity in the semantic space of the image of the real object to ideal constructs. In particular, in the linear approximation, as polprasert the appropriate relative distances. In addition to the distribution functions of the searched level of the respondents obtained through the linear approach, the paper presents updated results. The latter was calculated according to adapted for these purposes, a previously developed stochastic non-linear model. In models of individual affective level of perception was defined by stochastic integro-differential equation of gradient type. Which is numerically solved using the agent-oriented simulation package AnyLogic. Using Monte Carlo for these solutions was determined by the statistical parameters of the study audience, such as the responsibilities in the distribution of the respondents affective level of perception of their emotional state. In the whole group received a neutral level of perception of the emotional state, the average for all respondents the value zero. A large part of the studied audience (81%) showed a positive or moderately negative emotional state. And this indicator is not characterized by a high degree of conflict. And only a small portion (9%) is very negative (from -0,6 to -1 on a scale from -1 to +1) emotional state, contributing to the development of the protests. The result shows the potential of the developed method of measurements to assess the risk of political tension. This is the first main result. In particular, for the study of the audience revealed that this subgroup of the risk is 9% of the respondents. Note that this estimate coincides with the results of the monitoring in the affective perception of political orders, also conducted earlier among the students of the same faculty. The second important result is connected with a comparative analysis of affective and cognitive component of perception of emotional state. The cognitive component was determined for the appropriate group of questions in the same questionnaire. It is found that when cognitive appraisal of their emotions by the respondents at the average position values that are different from the actual feel. This indicates the failure of the direct conventional estimates of emotional state and the need of measuring the affective component.

Keywords: emotional state, affective component, cognitive component, semantic differential distribution function, the nonlinear stochastic model, multi-agent approach, the risk, conflict potential

The main target of sales policy in a competitive environment is customer funnel and customer loyalty. Sales approach involves encouragement of customers, vendors and business partners. Advertising is a means of a sales activity. While determining the most efficient way of distributing expenses for the purpose of advertising, it makes economic sense to use mathematical methods of programming and statistic analysis of target audience. It is able during the analysis to determine the most efficient time and location for ad placement, possible target audience and its income level. A method of calculating should be selected in order to gain more profit and incur less expenses. This is Fore and Malgrange method which allows to do so. Benefit of this method is optimality test in the process of decision making. Keywords: merchandising, advertising, sales, profit-making organization, sales approach, radio advertising, profit maximization.

Keywords: sales promotion, advertising, sales, social - demographic preferences, effective planning, profit maximization, the method Fore-Malgrange

Option contracts relate to underlying assets of the derivatives market. They are assets that make up the structure of the derivative financial instrument. This article contains general information about the option contract and the Black-Schouls model for calculations. As an example calculation with using this model and the analysis results. To calculate the option prices and option hedge coefficient for the Black-Scholes model was developed program on the JavaScript programming language. This program is presented in the article. Black-Scholes model is often used for making investment decisions, but there is no accurate guarantee profit in trading. But the Black-Scholes model is a very effective. The article is an example of calculations carried out with the help of online calculator developed on the basis of actual quotations of the Moscow stock exchange, with the analysis of the results.

Keywords: options contracts, the Black-Scholes model, the futures market, volatility, financial mathematics, hedge coefficients, JavaScript, mathematical modeling, software systems, the Moscow Stock Exchange

The article considers a problem of the Russian financial market modeling and suggests wide classes of diffusion and jump models. The authors examine the adequacy of the diffusion models by means of quadratic variation analysis on the Russian financial market, which is used to construct the volatility index, the most important quantitative risk indicator in the financial market. It is shown that the existing volatility indexes RTSVX and RVI worse approximate the realized variation than the alternative index, based on the implied variation integration. Further analysis of power variation of log-returns for RTS index shows that Levy processes with unbounded variation without diffusion component better describe the dynamics of the Russian financial market. A new model-free formula for the volatility index is proposed in the class of Lévy processes. The new formula suggested is based on the variation representation via market option prices.

Keywords: mathematical modeling, numerical method, mathematical finance, volatility index, option, Levy process, diffusion model, quadratic variation, RTS index, derivatives market.

The article deals with mini-CHP based on solid oxide fuel cells (SOFC) application for agricultural enterprises power supply which have biogas production possibility. Electrical energy from biogas production technology is shown. The mini-CHP on SOFC power choosing methodology is considered. Mini-CHP on SOFC power calculation was performed by the example of the dairy farming agricultural enterprise.

Keywords: power supply, agricultural enterprise, mini-CHP on SOFC, biogas installation

The results of designing and implementing software for modeling, interpolation and filtering of the signal for the nonlinear nature of the complex models, such as models of stochastic volatility. The problems of developing complex software: tools, object-oriented model, parallelization techniques. The developed system of classes can be used regardless of the user interface and used as a support mechanism in different programs of modeling and filtering of signals written using Qt framework.

Keywords: nonlinear model, stochastic volatility, signal filtering, generation, abstract class

The dynamic model of continuous distribution process allowing on the basis of sampling in time to reduce the corresponding generalized dynamic task to a problem of vector conditional optimization is considered. By means of optimization of weight coefficients of the scalar criteria encapsulated in criteria rollup on the basis of the generalized functional ratio expressing understanding of an intercriteria compromise the possibility of establishment of the most acceptable quantitative preferences between alternatives is shown. The offered approach allows to regulyarizirovat algorithms of dynamic planning for single-product distribution systems, having eliminated the developed obvious dependence of optimization process and results of adoption of multicriteria decisions on expert procedures and heuristic factors.

Keywords: distribution systems, dynamic processes, mathematical modeling, vector optimization, multicriteria decision making, parametrical rollup of criteria, alternatives and compromise

The study was conducted on more practical material for monitoring the emotional perception of such social phenomena as local and Central political orders, their own level of relative deprivation, cultural infrastructure and cultural life of the city as a whole, their own emotional state. Since 2009, performed a survey of several thousand respondents on the subject with the use of technology of semantic differential. The aim of this work is the ranking used semantic scales in terms of relevance to respondents and their selection of the optimal set. It is necessary to increase the adequacy of the measurement and reduce errors. For calibrating semantic scales in the questionnaire, respondents were asked to evaluate not only the real object, but two perfect (positive completely satisfied respondents, and negative - totally unacceptable) of the same class. The distance between these images allowed us to assess the importance of each scale. For all the above objects of study, and each used a semantic scale was obtained of the distribution function of the significance level for the respondents. Obtained that this function is strongly smeared, across the range of values (in our normalization is from zero to one). Thus the studied scales are divided into three sets. A group of scales with good significance (for example, the scale of smart-stupid), for which zero significance show about 15% of the respondents, and the maximum is about two times more. Scales of moderate importance (for example, scale fast-slow), for which the significance in the whole range from 0 to 1 more or less same. And a group of poor significance (sharp, rounded etc.), for which the majority of the respondents poorly distinguish the corresponding characteristic. In the method of semantic differential emotional perception of the object is determined not by individual semantic scales, and the set of indicators. And for selection of optimal scales analysis of their individual significances insufficient. Need more total study of the significance of sets of scales. For these purposes, on the basis of a package of multidimensional data mining, Cognos (IBM) has developed a multidimensional model of the importance of semantic scales. It allows you to explore the sections with a fixed value for different sets of scales. On the basis of the analysis of the 20 initial semantic features were selected 8. More compared to the minimum (four) number provided the overlap does not distinguish between scales and the increase in the total significance of the whole set. For all the above-mentioned objects of study (in addition to their own emotional state of the Respondent) identified the optimal set of scales provides sufficient total significance. Questionnaires to assess emotional state showed that the individual significance of semantic scales for them are much lower than for other objects. There are only two groups of scales. Average, with approximately equal proportions of respondents across the range of significance. And bad, with the maximum distribution function at low important part. Signs with good importance at all. As optimum it is possible to take a set, the same as for other objects. But neither he, nor even a complete set of 20 scales will not provide the proper total value. When interpreting data on the emotional state in the work it is recommended to use the conventional Cartesian distance, as previously, we tested a weighted metric of urban areas (the Minkowski metric). Individual significance for each scale as coefficients of balanced. Scale with zero significance of this will automatically be eliminated, thereby improving the total significance of the feature set.

Keywords: the method of semantic differential, affective component, social objects, semantic scale, ideal constructs, significance, distribution function, cumulative importance, a multidimensional model, sections, sections, the choice of the optimal set

A numerical model of the laser annealing TiO2 film on the TCO / glass substrate with radiation of a wavelength of 1064nm (Nd: YAG laser) to the crystallization and its use in solar cells perovskite. The modeling used a numerical finite difference method for solving a system of one-dimensional unsteady heat conduction differential equations. As a result, laser annealing temperature distribution obtained in the process of modeling the structure of TiO2 / TCO / glass substrate by varying the laser power. It is shown that a high laser power (30-100 watts) is enough for an effective transition organometallic precursor of TiO2 in the crystalline phase of anatase TiO2 (transition temperature of 400-600 °C) for a short period of time (60 sec.) due to the direct absorption of photons laser radiation. It is found that for experimental studies should be used laser power of 30-70 watts, since a higher power (e.g., 100 W) raises the temperature of the substrate above its melting point (for example, for glass 650 ° C).

Keywords: Numerical modeling, laser annealing, TiO2 film, heat equation, solar cell

Forecast moving thunderstorm cells requires the introduction of modern methods of operational data coming to the workstations in reception centers. For the current forecast weather phenomena emerging need to isolate and analyze the movement of thunderstorm cells according to the lightning detection. For these purposes, developed and improved methods for isolation and maintenance, based on the mathematical apparatus of computer vision.

Keywords: contour analysis, cluster analysis, hazardous weather phenomena, the current forecast, meteoradiolokatsiya, lightning detection, storm pockets

The complete cycle of flat axisymmetrical problem solving is given in this paper: from getting the main resolving equation to solving the practical problem of polymeric tube creepage. Two non-linear laws of “stress-deformation” union are used: Maxwell-Gurevich law and Maxwell-Tomson law. Camparison and analysis of the obtained data are given, as in some cases it is enough to use Maxwell-Tomson equation than to use more complex Maxwell-Gurevich union equation. Solving of the problem is given with the use of numerical method – finite difference method. In the case of the temperature field, all physical-mechanical parameters of the material (elastic and relaxation) are taken as the temperature function. Thees, the non-uniformity of the material is considered. To determine the temperature field Furje heat transfer equation is used.

Keywords: axisymmetrical problem, non-uniformity, creepage, Maxwell-Gurevich union equation, Maxwell-Tomson union equation

The article describes the solution of the problem of mobile robot ultrasonic positioning in a confined space. The solution of this task is overdue, if necessary, calculate the coordinates of a moving object in an enclosed area of ​​a small size. Most available technology in this case is ultrasonic technology, since it provides sufficient accuracy and more simple to implement. Methods for solving the problem is using a triangulation system, consisting of an object with an ultrasonic emitter and four sensors located at the corners of the permissible area. The mathematical model of the system is a system of nonlinear equations, numerical method can be applied to solve a. The authors compare two numerical methods for solving the ultrasonic positioning tasks: the simplest gradient method and the Levenberg-Marquardt method. The final choice was made in favor of the Levenberg-Marquardt.

Keywords: Ultrasound positioning, mobile robot positioning, numerical method, the simplest gradient method, Levenberg-Marquardt algorithm

The technique for automation the process of maintenance schedules formation, optimize and adjust and equipment of manufacturing business units repair to reduce their carrying costs is proposed. The information flow of "maintenance planning" LGOK diagram in DFD notation is presented. The uniform loading of equipment and personnel as optimization of maintenance schedules criterion are selected. The algorithm implementation is based on the analysis, lexicographic and successive concessions methods using. to The ranking criteria are assigned and arranged according for repair work ranking to their importance. Designed algorhythm can be used as a basis for decision-making support system for the main experts of the enterprise with its subsequent integration into the existing information system "maintenance planning."

Keywords: maintenance and repair information system, inventory items, database, scheduling, optimization, scheduled preventive maintenance