Abstract: The subject of this research is medical chest X-ray images. After fundamental pre-processing, the accumulated database of such images can be used for training deep convolutional neural networks that have become one of the most significant innovations in recent years. The trained network carries out preliminary binary classification of the incoming images and serve as an assistant to the radiotherapist. For this purpose, it is necessary to train the neural network to carefully minimize type I and type II errors. Possible approach towards improving the effectiveness of application of neural networks, by the criteria of reducing computational complexity and quality of image classification, is the auxiliary approaches: image pre-processing and preliminary calculation of entropy of the fragments. The article provides the algorithm for X-ray image pre-processing, its fragmentation, and calculation of the entropy of separate fragments. In the course of pre-processing, the region of lungs and spine is selected, which comprises approximately 30-40% of the entire image. Then the image is divided into the matrix of fragments, calculating the entropy of separate fragments in accordance with Shannon’s formula based pm the analysis of individual pixels. Determination of the rate of occurrence of each of the 255 colors allows calculating the total entropy. The use of entropy for detecting pathologies is based on the assumption that its values differ for separate fragments and overall picture of its distribution between the images with the norm and pathologies. The article analyzes the statistical values: standard deviation of error, dispersion. A fully connected neural network is used for determining the patterns in distribution of entropy and its statistical characteristics on various fragments of the chest X-ray image.

Keywords: matrix of elements, computational experiment, x-rays images, machine learning, deep convolutional neural network, fragments, image entropy, image preprocessing, statistical analysis, binary classification

References:
R. Sh. Minyazev et al. // Bulletin of the Russian Academy of Sciences: Physics, 2018, Vol. 82, No. 12. P. 1529.
Kaiming He, Xiangyu Zhang, Shaoqing Ren, Jian recognition. Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp.770-778.
C. Manning and R. Socher. Kurs lektsii: natural language processing with deep learning”. http://web.stanford.edu/class/cs224n/. – Data obrashcheniya: 01.06.2019
R.V. Zakharov. Mashinnoe obuchenie v meditsine. Avtomaticheskoe raspoznavanie legkikh na flyuorograficheskikh snimkakh. MatMekh SPbGU, 2016.
Raykhlin V.A., Minyazev R.Sh. Nelineynyy mir, 9, 8, 473-481 (2011).
Shennon K. Raboty po teorii informatsii i kibernetike.-M.: Izd-vo inostrannoy literatury, 1963.-830 s.
Minyazev R.Sh., Raykhlin V.A. Vestnik KGTU im. A.N. Tupoleva, ¹1, 149-158 (2011).
Minyazev R.Sh. Nelineynyy mir, 10, 3, 173-179 (2012).
Pavlov D.A., Minyazev R.Sh. Poisk effektivnykh resheniy v protsesse sozdaniya i realizatsii nauchnykh razrabotok v rossiyskoy aviatsionnoy i raketno-kosmicheskoy prom

Abstract: The subject of this article is the numerical optimization techniques used in training neural networks that serve as predicate components in certain modern eddy viscosity models. Qualitative solution to the problem of training (minimization of the functional of neural network offsets) often requires significant computational costs, which necessitates to increase the speed of such training based on combination of numerical methods and parallelization of calculations. The Marquardt method draws particular interest, as it contains  the parameter that allows speeding up the solution by switching the method from the descent away from the solution to the Newton’s method of approximate solution. The article offers modification of the Marquardt method, which uses the limited series of random samples for improving the current point and calculate the parameter of the method. The author demonstrate descent characteristics of the method in numerical experiments, both on the test functions of Himmelblau and Rosenbrock, as well as the actual task of training the neural network predictor applies in modeling of the turbulent flows. The use of this method may significantly speed up the training of neural network predictor in corrective models of eddy viscosity. The method is less time-consuming in comparison with random search, namely in terms of a small amount of compute kernels; however, it provides solution that is close to the result of random search and is better than the original Marquardt method.

Keywords: approbation, optimization methods, numerical experiment, model of turbulent viscosity, Marquardt method, learning, deep neural network, random probes, parameter tuning, neural network predictor

References:
Pekunov, V.V. Popravochnye modeli turbulentnosti // Mat. Mezhdunar. nauch.-tekhn. konf. "XX Benardosovskie chteniya".-Ivanovo, 2019.-T.2.-S.307-310.
Zakharova, E.M., Minashina, I.K. Obzor metodov mnogomernoy optimizatsii // Informatsionnye protsessy. — 2014. — T.14.— ¹3.— S.256-274.
Rastrigin, L.A. Adaptatsiya slozhnykh sistem. — Riga: Zinatie, 1981. — 375 s.
Zaytsev, A.A., Kureychik, V.V., Polupanov, A.A. Obzor evolyutsionnykh metodov optimizatsii na osnove roevogo intellekta // Izvestiya YuFU. Tekhnicheskie nauki. — 2010.— T.113.— ¹12.— S.7-11.
Press, W.H. et al. Numerical recipes in C: The art of scientific computing. — Cambridge University Press, 1992.— 994 p.
Izmailov A. F., Kurennoy A. S., Stetsyuk P. I. Metod Levenberga–Markvardta dlya zadach bezuslovnoy optimizatsii // Vestnik Tambovskogo universiteta. Seriya: estestvennye i tekhnicheskie nauki. Tambov, 2019. T. 24. ¹ 125. S. 60–74. DOI 10.20310/1810-0198-2019-24-125-60-74
Nielsen H.B. (1999) Damping parameter in Marquardt's method. Technical Report IMM-REP-1999-05.

Abstract: This article examines the problem of numerical simulation of interaction between the gaseous sulfur dioxide emitted by road transport and fog in the conditions of high humidity. For this purpose, the author applies a multi-factor two-phase mathematical model, which takes into account the dynamics of turbulent main phase, dynamics and kinetics of the multi-sectional droplet phase, presence of thermal inconsistencies formed as a result of direct and diffused solar radiation in various ranges, diffusion of sulfur dioxide, and its absorption by the fog droplets. The article carries out a numerical calculation of the corresponding task within the modeling system of environmental processes AirEcology-P, which allows generating the optimal calculation code for a particular mathematical model. The proposed complex mathematical model that descries interaction between the emitted sulfur dioxide gas and the fog droplets is new; it specifies the calculation of the kinetics of droplet phase based on consideration of the additional factor of droplet fusion characteristic to fog. The submodel of the droplet phase was tested in the numerical simulation (the results were compared with the data of direct Lagrangian modeling of the composite of 1,000 droplets), indicating decent accuracy results. The article obtains the results of numerical simulation of interaction between the emitted SO2 and the droplets. The author demonstrates the self-cleaning ability of the atmosphere, the degree of which correlates with the initial concentration of the smallest droplets and the height from the surface.

Keywords: drop's coalescense, absorption of pollutants, evaporation, condensation, multi-phase model, fog, numerical simulation, direct solar radiation, diffuse radiation, sulfur dioxide

References:
Chen Y., Liou K.N., Gu Y. An efficient diffusion approximation for 3D radiative transfer parameterization: application to cloudy atmospheres // J. Quant. Spectrosc. Radiat. Transfer. 2005. Vol.92. P.189–200.
Zhang M., Lin W., Bretherton C.S., Hack J.J., Rasch P.J. A Modified Formulation of Fractional Stratiform Condensation Rate in the NCAR Community Atmospheric Model (CAM2) // J. Geophys. Res. 2003. Vol. 108. No. D1. — P. ACL 10-1.
Aloyan A.E., Arutyunyan V.O., Louzan P.I. Numerical modeling of the gas-aerosol interaction in the atmoshpere // Izmereniya, modelirovanie i informatsionnye sistemy kak sredstva snizheniya zagryazneniy na gorodskom i regional'nom urovne : Tr. Mezhdunar. nauch. konf. «ENVIROMIS 2002». Tomsk, 2002. T.1. S.158-164.
Pekunov V.V. Utochnennyy raschet raspredeleniy kapel' pri modelirovanii atmosfernykh mnogofaznykh sred // Programmnye sistemy i vychislitel'nye metody. — 2019.-¹ 4.-S.95-104. DOI: 10.7256/2454-0714.2019.4.30707. URL: http://e-notabene.ru/ppsvm/article_30707.html
Pekunov V.

Abstract: The article is devoted to the development of a dynamic model for the coordination of general and private interests in the system of complex socio-ecological-economic synergetic development of a system of economic entities, the target control parameter of which is maximization of specific consumption. The parameters of the model under consideration are supposed to be supplemented with the criteria of ecological and economic sustainability of a group of subjects localized on a separate territory, within the boundaries of a separate industrial cluster, municipal formation, region or macroregion. The conditions for sustainable development (homeostasis) of the socio-ecological-economic system in the model are set by the requirements for the economic development of the agent, the maximum permissible emissions and discharges of pollutants into the environment in the process of economic activity. The resulting formalized dependencies make it possible to substantiate the environmental and social significance of the management decisions taken, as well as the effects associated with the dynamics and uncertainty of the external environment. The paper presents an algorithm for finding the Nash equilibrium in the previously presented dynamic model for combining general and private interests of territorial development. Some components of the vector of control actions are found analytically, for the rest an economical procedure is described. It is shown that in the absence of established threshold values for GRP and the concentration of pollutants in water and air, it is unprofitable for territorial entities to spend resources neither on investments in production or fixed production assets, nor on cleaning up pollution. Consequently, the expediency of introducing conditions for sustainable development, which are fulfilled by the subject in the form of equality, is shown.

Keywords: maximum permissible emission, homeostasis, combined development of subjects, combining of interests, pollutant discharge, ecologico-economical influence, sustainability, socio-ecological-economical system, target control parameters, dynamic models

References:
Ugol'nitskiy G.A., Gorbaneva O.I., Usov A.B., Agieva M.T., Mal'sagov M.Kh. Teoriya upravleniya ustoychivym razvitiem aktivnykh sistem // Upravlenie bol'shimi sistemami: sbornik trudov, T. 84, 2020. S. 89-113.
Modelirovanie sotsio-ekologo-ekonomicheskoy sistemy regiona. Pod red. V.I. Gurmana, E.V. Ryuminoy. M.: Nauka, 2001. S. 172.
Anopchenko T.Yu., Lazareva E.I., Lozovitskaya D.S., Murzin A.D. Analiz klyuchevykh parametrov ustoychivogo innovatsionnogo razvitiya regiona v usloviyakh tsifrovizatsii ekonomiki // Nauka i obrazovanie: khozyaystvo i ekonomika; predprinimatel'stvo; pravo i upravlenie, 1 (104), 2019. S. 7-12.
Lotov, A. V. Vvedenie v ekonomiko-matematicheskoe modelirovanie (Vol. 350). M.: Nauka. 1984. S. 392.
Druzhinin, A. G., Ugol'nitskiy, G. A. Ustoychivoe razvitie territorial'nykh sotsial'no-ekonomicheskikh sistem: teoriya i praktika modelirovaniya. M.: Vuzovskaya kniga. 2013. S. 264.
Gorbaneva, O. I., Murzin, A. D., Ugol'nitskiy, G. A. Mekhanizmy soglasovaniya interesov pri upravlenii proektami razvitiya territoriy // Upr

Abstract: The article presents the results of approbation of the previously presented dynamic socio-ecological-economic model of the synergetic development of individual entities within the South Russian macro-region, which allows to harmonize the general and private interests of each region. The model is investigated on the materials of the Southern Federal District. The identification of the model for the macro-region of the Southern Federal District was carried out on the basis of the data of the website of the State Statistics Committee, which are in the public domain. For identification, the time series of 2005, 2010, 2015-2017 were taken. This choice is explained by both theoretical reasons (a step of five years was chosen for the long-term data and one year for the near-term data), and empirical (the data of the crisis periods of 2008 and 2012, as well as the years nearest to them, were not taken). As a result of the study, several controversial conclusions were drawn regarding the strategies of the subjects' behavior. Calculations show, in particular, that in the current conditions it is not profitable for any of the regions to develop its own production sphere; the optimal strategy for each of them is only to increase consumption in the hope of the production activity of neighboring regions. In view of the choice of this rational strategy by all regions at the same time, a general degradation of the production sphere and stagnation of the regional economy are predicted. At the same time, it was revealed that a further reduction in production becomes unprofitable for almost all lagging regions (the republics of the Southern Federal District), while the leading regions (the regions of the Southern Federal District) remain profitable for production inaction.

Keywords: interregional interaction, management of regional development, dynamic model, combining of interests, private interests, public interests, modeling, production activity in the region, macroregion, SFD subjects

References:
Ougolnitsky, G.A., Usov, A.B. Computer Simulations as a Solution Method for Differential Games / Computer Simulations: Advances in Research and Applications. Eds. MD Pfeffer and E. Bachmaier. NY: Nova Science Publishers, 2018. P. 63-106.
Anopchenko, T.Yu., Murzin, A.D., Ugol'nitskiy, G.A. Modelirovanie soglasovaniya interesov v zadachakh upravleniya ustoychivym razvitiem territoriy // Ekonomika prirodopol'zovaniya, (6), 2017. C. 35-47.
Gorbaneva O.I., Murzin A.D., Ugol'nitskiy G.A. Mekhanizmy soglasovaniya interesov pri upravlenii proektami razvitiya territoriy. // Sistemnoe modelirovanie sotsial'no-ekonomicheskikh protsessov annotatsii k dokladam 41-oy Mezhdunarodnoy nauchnoy shkoly-seminara imeni akademika S.S. Shatalina. Pod redaktsiey V.G. Grebennikova, I.N. Shchepinoy. 2018. S. 68.
Gorbaneva O.I., Murzin A.D., Ugol'nitskiy G.A. Mekhanizmy soglasovaniya interesov pri upravlenii proektami razvitiya territoriy. // Upravlenie bol'shimi sistemami: sbornik trudov, 71, 2018. S. 61-97.
Druzhinin, A.G., Ugol'nitskiy, G.A. Ustoychivo

Abstract: The subject of the study is the sensitivity of the experimentally observed characteristics of the particle and radiation flow to variations in the parameters of the model of interaction of particles with the medium. The object of study is the diffusion flow of particles propagating in an unlimited medium. The author considers the variations in particle flux due to changes in the diffusion coefficient both over time and at different points in space. It is emphasized that the expressions obtained in this work can be considered as a statement of the inverse problem in the form of integral equations of the first kind. The research method is variational analysis and numerical experiment. The justification of the method is based on a comparison of the results of calculations by the proposed method and those obtained by the numerical diffusion equation by the difference method. The main conclusions of the study are the expressions for the function of the sensitivity of the diffusion flux to functional variations of the diffusion coefficient. The novelty of the study lies in the formulation of the inverse problem of determining the functional form of the coefficients of the diffusion equation (thermal conductivity) through the function of the sensitivity of the particle flux to variations of the desired parameters.

Keywords: interpolation, variations, differential equations, inverse problem, sensitivity, thermal conductivity, diffusion, numerical methods, green's function, functional

References:
Matsevityy Yu.M. Obratnye zadachi teploprovodnosti. V 2 t.– Kiev: Naukova dumka, 2002.
Yaparova N.M. Metod resheniya obratnoy zadachi identifikatsii funk-tsii istochnika s ispol'zovaniem preobrazovaniy Laplasa // Vestnik YuUrGU. Seriya: Vychislitel'naya matematika i informatika, 2016, T.5, ¹3. – S.20–35. DOI: 10.14525/cmse160302.
Dmitriev O.S., Mishchenko S.V., Seregin A.Yu. Pryamaya i obratnaya zadachi teploprovodnosti i diffuzii v protsesse pressovaniya drevesnostruzhechnykh plit Vestnik TGTU, 2003, t.9, ¹2. – S. 243–251.
Litvinov B.A., Uchaykin B.B. Variatsii tsennosti v probleme izucheniya shirokikh atmosfernykh livney. Pyk. dep. v BINITI, 1985, ¹ 7l50-B. Annotatsiya: Izvestiya vuzov. Fizika. 1986. T. 29. ¹ 2. S. 128.
Litvinov B.A., Uchaykin B.B. Metod funktsional'nykh proizvodnykh v probleme chuvstvitel'nosti ShAL.– Pyk. Dep. v VINITI 1986, ¹ 8907-B86. Annotatsiya: Izvestiya vuzov. Fizika, 1986. T. 29. ¹ 12. S. 96.
Tikhonov A.N. O reshenii nekorrektno postavlennykh zadach i metode regulyarizatsii // Dokl. AN SSSR, 1963, t.151, ¹3. – C. 501

Abstract: The use of low-bit computers is a well-known way to reduce the cost and energy consumption of embedded control and signal processing systems. At the same time, the construction of adequate digital models of dynamic systems on low-discharge computers is hindered by a number of problems associated with the influence of the rounding error of the coefficients. To increase the accuracy of the representation of discrete systems, instead of the traditional z operator, alternative discrete operators can be used, in particular, the δ operator. This mathematical apparatus, in addition, makes it possible to synthesize discrete systems that cannot be realized with a short grid length by standard methods. This article discusses the methodology for using the δ operator in the construction of digital systems on low-bit hardware platforms. The theoretical results obtained are proved analytically and supported by experimental results. The criteria and the preference region for the δ-operator in comparison with the z-operator are shown. The paper considers issues related to the implementation of discrete systems using the δ-operator on low-bit computers with a floating point. In the course of the work, it was found that the accuracy of the machine representation of numbers (digit capacity of the calculator) does not affect the choice of a method for implementing a discrete system. The key parameter when choosing a discrete operator is the sampling rate. A generalized criterion is formulated, which allows one to choose the preferred discrete operator by the type of continuous system and the required sampling frequency.

Keywords: FPGA, Microcontroller, Discrete operator, Linear dynamic systems, Automatic control, Digital signal processing, Delta-operator, Delta-transform, Digital filtering, Finit word length

References:
Yang G.-H. Linear systems : non-fragile control and filtering / G.-H. Yang, CRC Press, 2013. 278 c.
Longo S., Kerrigan E.C., Constantinides G.A. Constrained LQR for low-precision data representation // Automatica. 2014. ¹ 1 (50). C. 162–168.
Middleton R.H., Goodwin G.C. Improved Finite Word Length Characteristics in Digital Control Using Delta Operators // IEEE Transactions on Automatic Control. 1986. ¹ November (31). C. 1015–1021.
Liu Y. [i dr.]. Optimal sliding mode control for delta operator system // IEEE 32nd Chinese Control Conference. 2013. C. 3152 – 3157.
Kauraniemi J., Laakso T.I., Hartimo I. Delta Operator Realizations of Direct-Form IIR Filters // IEEE Transactions on Circuits and Systems-II: Analog and Digital Signal Processing. 1998. ¹ 1 (45). C. 41–52.
Goodall R.M., Donoghue B.J. Very high sample rate digital filters using the δ operator // IEEE Proceedings of Circuits, Devices and Systems. 1993. ¹ 3 (140). C. 199–208.
Govindu G. [i dr.]. Analysis of High-performance

Abstract: The subject of the research is numerical algorithms for solving fractional partial differential equations. The object of the study is the stability of several algorithms for the numerical solution of the anomalous diffusion equation. Algorithms based on the difference representation of the fractional Riemann-Liuville derivative and the Caputo derivative for various orders of accuracy are considered. A comparison is made of the results of numerical calculations using the analyzed algorithms for a model problem with the exact solution of the anomalous diffusion equation for various orders of the fractional derivative with respect to the spatial coordinate. The results of the work were obtained on the basis of the analysis of the constructed difference schemes for stability, the conducted numerical experiments and a comparative analysis of the data obtained. The main conclusions of the study are the advantage of using the approximation of the fractional Caputo derivative compared to using the difference scheme for the fractional Riemann-Liouville derivative in the numerical solution of the anomalous diffusion equation. The paper also indicates the importance of choosing the method of difference approximation of the second derivative, which is a derivative of the Caputo.

Keywords: derivative Of Caputo, approximation, diffusion, difference scheme, algorithm, stability, fractional derivative, numerical method, Riemann-Liouville derivative, differential equation

References:
Kalitkin N.N. Chislennye metody: ucheb. posobie. –2-e izd., ispravlennoe. – SPb.: BKhV-Peterburg, 2011. – 592 s.
Samko S.G., Kilbas A.A., Marichev O.I. Integraly i proizvodnye drob-nogo poryadka i nekotorye ikh prilozheniya. – Minsk: Nauka i tekhnika, 1987. – 688 s.
Uchaykin V.V., Litvinov V.A. Nelineynaya teoriya vozmushcheniy na osnove variatsionnogo printsipa: model'nye primery. Izvestiya vysshikh uchebnykh zavedeniy. Prikladnaya nelineynaya dinamika, 2018, t. 26, ¹ 6. – S. 82–98.
Ivashchenko D.S. Chislennye metody resheniya pryamykh i obratnykh zadach dlya uravneniya diffuzii drobnogo poryadka po vremeni: diss. kand. fiz.mat. nauk. – Tomsk: Institut matematiki SO RAN, 2008. – 187 s.
Litvinov V.A. Variatsionnoe interpolirovaniya resheniy drobnykh differentsial'nykh uravneniy Izvestiya vysshikh uchebnykh zavedeniy. Fizika, 2018, t. 261, ¹8(728). – S.39–44.
Changpin Li, Fanhai Zeng Numerical Methods for Fractional Calculus.– Taylor & Francis Group.– 2015. – 300 p.
Lukashchuk S.Yu. Dvukhsetochnye parallel'nye algoritmy dlya resheniya drobno-di

Abstract: The subject of study is the implementation of control systems for unmanned aerial vehicles. As their solution, a method of teaching and testing of these systems by immersing the entire system and its individual components into a virtual reality as close as possible to real conditions is proposed. The advantages and difficulties of implementation in relation to each of the system modules involved are considered. For each of the difficulties the authors propose solutions. The most successful scopes of application are revealed, and also possibility of application of the given method to land and surface vehicles is allocated. In the framework of this work, the existing aircraft control systems and the use of virtual reality within the framework of training their individual parts are investigated and the option of extending the use of such methods to the entire control system with an analysis of the advantages and disadvantages of this approach is proposed. The novelty of this article lies in the training of control systems for unmanned aerial vehicles by immersing it in virtual reality. The completeness and flexibility of such a training system is able, on the one hand, to adapt to any equipment configuration, on the other hand, to provide the highest quality training. The most important aspect is ensuring that you can use a larger proportion of the learning algorithms than is possible in other cases. In addition, this approach to the crane is useful in the framework of video navigation in connection with the possibility of better implementation of computer vision. The article shows the relevance of the research and the effectiveness of this method in the framework of aircraft control systems and proposed its application to other vehicles.

Keywords: learning algorithms, computer vision, navigation, control system, virtual reality, unmanned aerial vehicle (UAV), neural networks, deep learning, drone, videonavigation

References:
K. E. Shilov Razrabotka sistemy avtomaticheskogo upravleniya bespilotnym letatel'nym apparatom mul'tirotornogo tipa TRUDY MFTI, Moskva, 2014, Tom 6, ¹ 4, c. 139–152
A. A. Ardentov, I. Yu. Beschastnyy, A. P. Mashtakov, A. Yu. Popov, Yu. L. Sachkov, E. F. Sachkova Algoritmy vychisleniya polozheniya i orientatsii BPLA PROGRAMMNYE SISTEMY: TEORIYa I PRILOZhENIYa ¹ 3(12), 2012, c. 23–39 URL: http://psta.psiras.ru/read/psta2012_3_23-39.pdf
Korevanov S.V., Kazin V.V. Iskusstvennye neyronnye seti v zadachakh navigatsii bespilotnykh letatel'nykh apparatov. Nauchnyy vestnik MGTU GA. 2014;(201):46-49. https://doi.org/10.26467/2079-0619-2014-0-201-46-49
Bondarev V.G. Videonavigatsiya letatel'nogo apparata. Nauchnyy vestnik MGTU GA. 2015;(213):65-72. https://doi.org/10.26467/2079-0619-2015--213-65-72
Jennifer Chu Researchers develop virtual-reality testing ground for drones MIT News Office URL: http://news.mit.edu/2018/virtual-reality-testing-ground-drones-0517
Nati Amsterdam Testing, Testing: How VR Can Spin the Odometer Forward

Abstract: The object of research is the dynamic characteristics for target groups of social networks. The subject of this study is to analyze the methods and models of the evolutionary characteristics of the social graphs of large dimension. The study examines in detail the approaches of analysis, quantitative characteristics graph models. Synthesized an algorithm to analyze the dynamic characteristics for target groups of social networks. The experimental results show the fact of adding a user to the subject area of interest, as well as visualize the entire process in real time. The developed software tools can be useful for further development and research topics related to the social network. When solving tasks used methods of mathematical logic, graph theory, mathematical statistics, the apparatus of mathematical analysis, linear algebra, mathematical modeling methods, theory of algorithms, as well as object-oriented programming techniques. The novelty of the study is to determine the dynamic characteristics of the target groups of social networks, as well as the visualization of the entire process in real time. The main conclusions of the study is that the developed software tool will enable to trace cause and effect indicators of changes in the social graph. The proposed prototype of the software will be of interest primarily marketers, system analysts, and professionals involved in the analysis and the study of social networks.

Keywords: characteristics social graph, social graph model, network analysis methods, dynamic network analysis, network evolution, Social network, graph visualization, group influence, conversion tool, social groups dynamics

References:
Gubanov D.A., Novikov D.A., Chkhartishvili A.G. «Sotsial'nye seti: modeli informatsionnogo vliyaniya, upravleniya i protivoborstva», 2010. 228 s.
https://vk.com/dev/openapi [Elektronnyy resurs]
Agnes Vathy-Fogarassy. Graph-Based Clustering and Data Visualization Algorithms. – Springer, 2013. – 120 p.
Richard Brath, David Jonker. Graph Analysis and Visualization: Discovering Business Opportunity in Linked Data. – Wiley, 2015. – 544 p.
Ushkin, S.G. Vliyanie virtual'nykh sotsial'nykh setey na protestnuyu aktivnost' v rossiyskom obshchestve: dis. kand.sots. nauk / Ushkin Sergey Gennad'evich. – Saransk, 2015. – 168 s.
Snijders T., Bunt G., Steglich S. Introduction to stochastic actor-based models for network dynamics//Social Networks., 2010, vol.32. pp. 44-60. DOI: http://dx.doi.org/10.1016/j.socnet.2009.02.004
Krivitsky P. N.. Handcock M. S. A separable model for dynamic networks //Journal of the Royal Statistical Society Series B, 2014, vol.76. No 1. pp. 29-46. DOI: DOI: 10.1111/rssb.12014
Sen A., Smith T., Gra

Abstract: The article discusses the methodology for estimating the noise component in time series with variable pitch, its justification, and suggests an algorithm for removing noise from data. The analysis is based on the requirement of smoothness of a function representing the original data and having continuous derivatives up to the third order. The proposed method and algorithms for estimating and eliminating noise in the data under the assumption of smoothness, the function they represent, allow reasonably determining both absolute and relative noise in the data, regardless of the uniformity of the measurement step in the source data, the noise level in the data, remove the noise component from the data . The algorithm for solving the problem is based on minimizing the deviations of the calculated values from the smooth function, provided that the deviations from the source data correspond to the noise level. The proposed method and algorithms for estimating and eliminating noise in the data under the assumption of smoothness, the function they represent, allow reasonably determining both absolute and relative noise in the data, regardless of the uniformity of the measurement step in the source data and their noise, and remove the noise component from the data. Considering the smoothness of the data obtained as a result of noise elimination, the data obtained by noise elimination are suitable for detecting both analytical and differential dependencies in them.

Keywords: numerical simulation, data decomposition, trend, time series, digital noise filtration, relative noise, absolute noise, time series analysis, mathematical model, statistics processing

References:
Greshilov A.A., Stakun V.A., Stakun A.A. Matematicheskie metody postroeniya prognozov. M.: Radio i svyaz', 1997. 112 s.
Kantorovich G.G. Analiz vremennykh ryadov. Ekonomicheskiy zhurnal VShE. ¹1 2002, ¹2 2002, ¹3 2002, ¹4 2002, ¹1 2003
Anderson T. Statisticheskiy analiz vremennykh ryadov. M: Mir, 1976. 523 s.
Afanas'ev V.N., Yuzbashev M.M. Analiz vremennykh ryadov i prognozirovanie. M.; Finansy i statistika,2001. — 228 s.
Gubanov V.A. Vydelenie trenda iz vremennykh ryadov makroekonomicheskikh pokazateley. V sb.: Nauchnye trudy: Institut narodnokhozyaystvennogo prognozirovaniya RAN, 2005. — T.3
Bol'shakov A.A., Karimov R.N. Metody obrabotki mnogomernykh dannykh i vremennykh ryadov. M.: Goryachaya liniya-Telekom, 2007. — 522 s.
F.Aleksandrov, N.Golyandina. Vybor parametrov pri avtomaticheskom vydelenii trendovykh i periodicheskikh sostavlyayushchikh vremennogo ryada v ramkakh podkhoda «Gusenitsa»-SSA. Trudy IV Mezhdunarodnoy konferentsii «Identifikatsiya sistem i zadachi upravleniya» SICPRO'05.
Dubovikov M. M., Starchenko N. V. O fraktal'nom ana

Abstract: The subject of research is the method of estimating the noise component in the time series and its removal, the selection of the trend and fluctuations with different periods, the concept of T-ε and T-h-ε almost periods for the final series is introduced. The analysis is based on the requirement of smoothness of a function representing the original data and having derivatives up to the fourth order inclusive and the allocation of almost periods based on functions of the Alter-Johnson type. Separately, the trend of the length of the periods identified in the data of a number of fluctuations. The algorithm for solving the problem is based on minimizing the deviations of the calculated values from the smooth function, provided that the deviations from the source data correspond to the noise level. To identify the oscillatory component and the trend of almost periods, the modified Alter-Johnson function is used. The proposed methodology and algorithms for estimating and eliminating noise in the data allow us to reasonably determine the noise level in the data, remove the noise component from the data, identify almost the periods in the data in the sense of the definitions introduced in the article, highlight the trend and oscillation components in the data, identify, if necessary, the trend of changes almost periods.

Keywords: data decomposition, signal spectrum, periodic functions, almost period, trend, time series, noise filtering, noise, numerical modeling, time series analysis

References:
Vohr N., "Acta math.", 1925, t. 45, p. 29-127
Levitan B. M. Pochti-periodicheskie funktsii. M., 1953.
Bor G. Pochti periodicheskie funktsii. M., 2009.
D'yakonov V. P. MATLAB 6.5 SP1/7.0 + Simulink 5/6. Obrabotka signalov i proektirovanie fil'trov. — M.: SOLON-Press, 2005.
Kuz'min V.I., Samokhin A.B., Gadzaov A.F., Cherdyntsev V.V. Modeli i metody opredeleniya parametrov nelineynykh protsessov. – M.: Moskovskiy tekhnologicheskiy universitet (MIREA), 2016. – 148 s.
Johnson M. Correlations of cycles in weather, solar activity, geomagnetic values and planetary configurations. - San Fransisco, Phillips and Van Orden, 1944
Greshilov A.A., Stakun V.A., Stakun A.A. Matematicheskie metody postroeniya prognozov. M.: Radio i svyaz', 1997. 112 s.
Bulashev S.V. Statistika dlya treyderov. M.: Kompaniya Sputnik+, 2003. 245 s.
Boks Dzh., Dzhenkins G. Analiz vremennykh ryadov. Prognoz i upravlenie. Vyp. 1. M.: Mir, 1974. 406 s.
Anderson T. Statisticheskiy analiz vremennykh ryadov. M: Mir, 1976. 523 s.
Sklyar A.Ya. Analiz i ust

Abstract: The object of research in this article is a system for simulating network traffic and its optimization. The subject of research in this article is the marker basket algorithm and methods for optimizing network traffic. Particular attention is paid to the network parameters of special control. We consider the problem of traffic management in order to ensure the quality of network service. Dynamic filter models are proposed based on a marker basket algorithm and a multiplexer that supports network quality control. The task of choosing the optimal strategy for controlling the parameters of traffic filters, working by the marker basket algorithm, is considered. The main research methodology is simulation modeling. Such metaheuristic optimization algorithms such as the genetic algorithm, the harmony algorithm, and the lifting algorithm are investigated. As a result of the research, a mathematical model for assessing the effectiveness of a network site was developed.A simulation and analytical model of network traffic based on the marker basket algorithm has been developed and implemented.The possibilities of several optimization algorithms are analyzed. Conducted simulation experiments, which resulted in the identification of optimal solutions.The study presented can be used to solve problems of improving the quality of network services.

Keywords: token bucket algorithm, Simulation, multiplexor, quality of service, network throughput, network resources, network traffic, optimization, genetic algorithm, harmonic search algorithm

References:
Goryachev A.V, Novakova N.E. Evolyutsionnye metody analiza i sinteza proektnykh resheniy. SPb.: Izd-vo SPbGETU «LETI», 2016, c. 160.
Goryachev A.V., Kravchuk D. K., Novakova N. E. Primenenie algoritmov, inspirirovannykh prirodnymi yavleniyami, v slozhnostrukturirovannykh predmetnykh oblastyakh avtomatizirovannogo proektirovaniya. SPb.: Sbornik dokladov mezhdunarodnaya konferentsiya po myagkim vychisleniyam i izmereniyam, 23-25 iyunya 2011, SPb. Izd-vo SPbGETU «LETI», 2011, t.1, s. 150-154.
Bhattacharya A., Parlos A. G., Atiya A. F. Prediction of MPEG-coded video source traffic using recurrent neural networks // IEEE Transactions on Signal Processing. 2003. ¹ 8. pp. 2177–2190.
Evans J., Filsfils C. Deploying IP and MPLS QoS for Multiservice Networks: Theory and Practice. San Francisco. Morgan Kaufmann, 2007, p. 431.
Ahmed N. U., Qun. Wang, Orozco-Barbosa L. Systems Approach to Modeling the Token Bucket Algorithm in Computer Networks» // Mathematical Problems in Engineering. 2002. ¹ 8. pp. 265–279.
Ahmed N. U., Bo Li, Oroz

Abstract: The subject of the research is network databases of distributed computing systems. The object of the research is the model and scheduling algorithms for the distribution of workload in network databases. The author considers in detail such aspects of the topic as a model for solving the problem of optimizing the process of managing queries in distributed information systems. It is shown that in order to eliminate the queue of requests, it is necessary to choose the most appropriate way to select queries and the best method for implementing the selected method. Promising options for serving queries are group sampling, as well as group sampling with individual segmentation. Special attention is paid to the application and development of a method for solving problems of Boolean linear and nonlinear programming based on the rank approach, which have a small time complexity and provide the required accuracy for solving these problems, as well as developing a common approach to solving arbitrary problems of boolean programming. The research methodology is the methods and models for planning, optimizing and improving the performance of network databases of distributed computing systems. The scientific novelty lies in the fact that an increase in the number of constraints in problems of nonlinear Boolean programming leads to a decrease in the error of their solution, and the degree of nonlinearity itself does not significantly affect the magnitude of the error. From an experimental study of the developed algorithms for solving the problems considered in the work, it follows that in the case of the formalization of Boolean programming problems in graph formulation, in most cases it is possible to reduce the time complexity of the algorithms for solving them. The proposed model can be used to solve the problem of optimizing the process of managing queries in distributed computing systems.

Keywords: deviation, transaction, branch and bound, ranked approach, optimization, request, dissipative structures, network database, hamiltonian path, algorithm analysis

References:
Buy D. B., Skobelev V. G. Modeli, metody i algoritmy optimizatsii zaprosov v bazakh dannykh // Komp'yuternye sistemy i informatsionnye tekhnologii 2014, ¹ 2 (66) 46 C. 43-58
Listrovoy, S.V., Tretjak, V.F. and Listrovaya, A.S. (1999), “Parallel algorithms of calculation process optimization for the Boolean programming problems”,Ibid., Vol. 16, pp. 569-579.
Tret'yak V.F., Pashneva A. A. Optimizatsiya struktury khranilishcha dannykh v uzlakh seti infokommunikatsionnoy seti oblachnogo khranilishcha // Sistemy navigatsii i svyazi Poltavskogo natsional'nogo universiteta imeni Yuriya Kondratyuka. ¹4 (44).-2017-S. 122-128
Dubinin V.N., Zinkin S.A. Setevye modeli raspredelennykh sistem obrabotki, khraneniya i peredachi dannykh Monografiya. – Penza: Privolzhskiy Dom znaniy, 2013. – 452 s.
Fedorin A.N. Mnogokriterial'nye zadachi rantsevogo tipa: razrabotka i sravnitel'nyy analiz algoritmov: Dis. ... kand. tekhn. nauk: 05.13.18 / Nizhegorodskiy gosudarstvennyy universitet im. N.I. Lobachevskogo. – Nizhniy Novgorod, 2010.-132 s.
Informatsionnoe o

Abstract: The subject of the research is the methods of complicating the analytical structure of pseudorandom sequences by applying additional mapping of nonlinear external logic, in particular, nonlinear complication function, to elements fo initial pseudorandom sequence. The purpose of the research is to define and develop an algorithm of a mathematical model of nonlinear complication function presented on the basis of the modular operation of the simple modul exponentiation. This allows to obtain nonlinear pseudorandom sequences that have statistical properties close to the properties of a random sequence at the set maximum period. To present the model, the authors have used the formalism of the automation theory, finite field theory, residue number and primes theories. The authors offer their own automation model for creating nonlinear pseudorandom sequences with the set periods of L = 2^n-1 and L = 2^n, n >1 with the output function as the nonlinear complication function on the basis of nonlinear mapping of modules belonging to Fermal primes. It has been proved that the automation output function is an injective function that displaces elements of the De Bruijn sequence. It has been demonstrated that the algorithmic model of the automation output function allows to change the structure of  nonlinear sequences by pseudorandomly displacing values of the primitive roots of the Fermal prime. The size of the nonlinear sequence assemble formed by the nonlinear complication function depends on the number of primitive roots and is determined by the lower bound of Î(2^n), n>1 type. 

Keywords: primitive roots, nonlinear modular operation, Fermat primes, M-sequence, the De Bruijn sequence, injective mapping, complication function, automaton model, pseudorandom sequence, ensemble of sequences

References:
Marchenko M.A., Mikhaylov G.A. Raspredelennye vychisleniya po metodu Monte-Karlo // Avtomatika i telemekhanika, ¹ 5, 2007. S. 157-170.
Yakobovskiy M.V. Posledovatel'nosti psevdosluchaynykh chisel dlya mnogoprotsessornykh prilozheniy, 2008. //http://www.imamod.ru/projects/ FondProgramm/RndLib/lrnd32_v02
Ivanov M.A., Kovalev A.V., Chugunkov I.V. i dr. Stokhasticheskie metody zashity informatsii v komp'yuternykh sistemakh i setyakh. M.: KUDITs-PRESS, 2009. 512 s.
Agibalov G.P. Sibecrypt 10. Obzor dokladov / Prikladnaya diskretnaya matematika, 2010. ¹ 4(10). S. 109-124.
Dichenko S.A., Vishnevskiy A.K., Fin'ko O.A. Realizatsiya dvoichnykh psevdosluchaynykh posledovatel'nostey lineynymi chislovymi polinomami // Izvestiya YuFU. Tekhnicheskie nauki, ¹12, 2011. S. 130-140.
Ivanov M.A., Vasil'ev N.P., Chugunkov I.V. i dr. Trekhmernyy GPSCh, orientirovannyy na realizatsiyu v gibridnykh vychislitel'nykh sistemakh. Vestnik NIYaU «MIFI», 2012, tom 1, ¹2. S. 1-4.
Kuznetsov V.M., Pesoshin V.A. Generatory sluchaynykh i psevdosluchaynykh posledovatel'nostey na ts

Abstract: The authors of the article describe the features of the use and advantages of the genetic algorithm for learning the neural-fuzzy network. The authors review the literature sources that consider modifications of the genetic algorithm adapted to solve various problems. The authors found that the existing approaches to the implementation of the genetic algorithm contain a number of drawbacks for learning the neural-fuzzy network, so when forming a chromosome, the interval containing the peak of the membership function is encoded with 1, otherwise it is 0. This affects the resolving power when searching for the optimal solutions. The authors of the article also discuss in detail such aspects as the operators of the basic algorithm and give the scheme of the combined method of learning the network. To teach a neural-fuzzy network based on a genetic algorithm, the authors propose an approach for coding membership functions based on the α-level. As a fitness function of the genetic algorithm, the root-mean-square error was used. The novelty of the research is caused by the fact that the authors offer their own approach of coding membership functions based on the α-level which allows to increase the resolution of the algorithm when searching for the optimal solution. The main conclusion of the research is the fact that the approach proposed in the article makes it possible to adjust the parameters of the membership functions of linguistic variables for the neural-fuzzy network and to obtain more adequate values for the parameters of the output layer of the network.

Keywords: linguistic variable, mutation, crossing, chromosome, membership function, neuro-fuzzy network, genetic algorithm, neuron, fitness function, training

References:
Katasev A.S., Akhatova Ch.F. Neyronechetkaya model' formirovaniya baz znaniy ekspertnykh sistem s geneticheskim algoritmom obucheniya // Problemy upravleniya i modelirovaniya v slozhnykh sistemakh: Trudy XII Mezhd. konferentsii / Pod red. akad. E.A. Fedosova, akad. N.A. Kuznetsova, prof. V.A. Vittikha. Samara: Samarskiy nauchnyy tsentr RAN. 2010. S. 615-621.
Periaux J., Sefrioui M., Ganascia J.G. Fast Convergence Thanks to Diversity // Evolutionary computing. — San Diego, 1998. pp. 9-15.
Shumkov E.A., Chistik I.K. Ispol'zovanie geneticheskikh algoritmov dlya obucheniya neyronnykh setey // Politematicheskiy setevoy elektronnyy nauchnyy zhurnal Kubanskogo gosudarstvennogo agrarnogo universiteta, ¹ 91, 2013. S. 455-464.
Aydogan E.K., Karaoglan I., Pardalos P.M. Hybrid genetic algorithm in fuzzy rule-based classification systems for high-dimensional problems // Applied Soft Computing, Vol. 12, No. 2, 2012. pp. 800-808.
Grafeeva N., Grigorieva L., Kalinina-Shuvalova N. Genetic algorithms and genetic programming // International Jour

Abstract: The subject of the research is the method of reducing the spark load and commutation noise by separating the power elements of thermal plants. The object of the research is thermal installations. The aim of the research is to develop a method for separating the power elements of thermal plants in order to reduce the switching currents when performing thermal control. In the course of their research the authors have conducted simulation based on the example of a heating installation. The results of simulation and comparison of the systems with separation and without separation of the thermal circuits show the efficiency of the application of the separation method to reduce the switching currents while maintaining the admissible system characteristics by the cosφ criterion. The authors also offer their method for reducing switching currents in the process of temperature control of the temperature of thermal installations by transition from one power element of the thermal installation to several, the power of which is distributed in proportion to the first members of the Fibonacci series. The analysis carried out in the research has showed the possibility of reducing switching currents by increasing the number of thermal circuits. The possibility of reducing the switching voltages in several times is demonstrated. The authors offer to divide powers between consumers (thermal loops or cryogenic elements) in proportion to several first terms of Fibonacci numbers. The typical feature for dividing the system into several power circuits is the increase in reacting power. The authors offer the method to return part of the reacting power in thermal plants by back connection of thermal spiral elements. 
 

Keywords: Fibonacci numbers, math modeling, computer aided design, heat treatments, mechanical engineering, transitional processes, thermal operations, calculation of electrical currents, CAD/CAM, MATLAB

References:
Borisov Yu.S. i dr. Gazotermicheskie pokrytiya iz poroshkovykh materialov: Spravochnik. Kiev: Naukova Dumka, 1987. – 350 s. il.
Norenkov I.P., Avtomatizirovannye sistemy upravleniya tekhnologicheskimi protsessami // Vestnik MGTU. Ser. Priborostroenie. 2002, ¹1. – c.:336 il.
Golichev I. I., Kondrat'ev D. V., Khasanov 3. M. Osobennosti postroeniya sistemy upravleniya i modelirovaniya temperaturnykh protsessov v tekhnologii izgotovleniya kvartsevykh zagotovok svetovodov // Avtomatizatsiya i sovremennye tekhnologii, 2000. ¹ 3. S. 13-19
Korobeynikov A.G., Aleksanin S.A. Metody avtomatizirovannoy obrabotki izobrazheniy pri reshenii zadachi magnitnoy defektoskopii//Kibernetika i programmirovanie. 2015. ¹ 4. S. 49-61.
Korobeynikov A.G., Kopytenko Yu.A., Ismagilov V.S. Intellektual'nye informatsionnye sistemy magnitnykh izmereniy. Nauchno-tekhnicheskiy vestnik informatsionnykh tekhnologiy, mekhaniki i optiki. 2011. ¹ 1 (71). S. 39-45.
Aleksandrov G. N., Borisov V. V., Kaplan G. S., Kukekov G. A., Karpenko L. N., Kuznetsov V. E., Lunin V. P.

Abstract: The subject of the research is the simulation model of pavements in the form of multilayered construction on the rigid (elastic) base. In his research Kolesnikov pays special attention to the simulation of rigid pavement physical behavior as a set of equations that reflect changes in stress-deformed state of such constructions. The equation system takes into account geometric nonlinearity of the construction material and gives an opportunity to analyse the influence of various parameters on the stress and displacement indicators. Boundary conditions have been chosen to satisfy various types of description. The author has shown an opportunity to optimize geometrical parameters of the constructino and to achieve minimization of weight and volume of consumable material. Nonlinear equations that model the construction behavior were solved using the Bubnov-Galerkin method. The author has used such optimization criteria as the construction shape and thickness and features of the elastic base. The novelty of the research is caused by the fact that the author offers a simulation of the rigid pavement surface formed as a shallow shell on the elastic base with a slight chamber of arch in the middle. This makes the task more compolicated, however, it also allows to consider more real conditions of work. The task to optimize parameters and the solutions offered by the author will allow to significantly minimize the weight and to reduce the stress on the construction. 

Keywords: elastic base, geometric nonlinearity, method of , random search, gradient descent, optimization, construction simulation, optimal shape, road clothes, objective function

References:
Stupishin L.Yu. Issledovanie napryazhenno-deformirovannogo sostoyaniya pologikh geometricheski nelineynykh obolochek vrashcheniya [Tekst]: L.Yu. Stupishin, A.G. Kolesnikov, T.A. Ozerova // Izvestiya Yugo-Zapadnogo gosudarstvennogo universiteta. Seriya: Tekhnika i tekhnologii. 2012. ¹ 2-3. S. 232-235.
Andreev V.I. Analiticheskoe reshenie fizicheski nelineynoy zadachi dlya neodnorodnoy tolstostennoy tsilindricheskoy obolochki [Tekst]: V.I. Andreev, L.S. Polyakova // Vestnik MGSU.-2015. ¹ 11. S. 38-45.
Kobelev N.S. Issledovanie oblasti poteri ustoychivosti ili prochnosti ortotropnykh pologikh geometricheski nelineynykh obolochek na pryamougol'nom plane [Tekst]: N.S. Kobelev, L.Yu. Stupishin, A.G. Kolesnikov // Izvestiya Yugo-Zapadnogo gosudarstvennogo universiteta. Seriya: Tekhnika i tekhnologii. 2011.-¹ 2. S. 36-40
Stupishin L.Yu. Issledovanie napryazhenno-deformirovannogo sostoyaniya pologikh geometricheski nelineynykh obolochek na kruglom plane peremennoy formy pri razlichnykh vidakh nagruzheniya [Tekst]: L.Yu. Stupishin, A.G. Kolesnikov, T.A. Ozerova // Promysh

Abstract: The object of study in the article is the credit, however it does not concern its economic essence regarding both the creditor, and the borrower. The key aspects of studó concern the mathematical foundations for modeling the  phenomenon of related borrowers. The author stars her research by analyzing economic maintenance of a phenomenon of being related, while directly giving strictly mathematical interpretation to the economic terms, which she employs. Further the author explicitly considers functional and stochastic aspects of coherence of borrowers, showing continuous connection among these aspects. The methodological basis of a research is formed with the set-theoretic and probability-theoretic approaches. Application-oriented aspects of the loan portfolio modeling are explained in terms of the algebraic theory of risk. The graphic illustration of the main results of operation is based on classical submissions of the Cartesian product of finite sets and on traditional (quasi) trees of classification. The key result of this  study is revealing of the complete mathematical list of possible options for the coherence of borrowers in the functional and probability-theoretic contexts. At the same time the article contains detailed descriptions of all possible relation options within the object field of study. This a  novel relation classification. Similar studies are not found among either Russian, or foreign studies so far. Another result of this study is a practical one, since some of the received ratios can be used in order to form efficient algorithms for the direct analysis of risk processes within the complicated systems.

Keywords: affiliate, a group of related entities, a group of related borrowers, credit, independent events, uncertainty, risk, conditional probability, holding, economic relation of the companies

References:
Urazaeva, T. A. Sintaksicheskaya model' yazyka vizual'nogo predstavleniya razvivayushchikhsya ekonomik / T. A. Urazaeva // Obozrenie prikladnoy i promyshlennoy matematiki. – 2006. – T. 13. – V. 1. – S. 147-149.
Urazaeva, T. A. Odnorodnye portfeli: algebraicheskie aspekty imitatsionnogo modelirovaniya / T. A. Urazaeva // Innovatsionnoe razvitie rossiyskoy ekonomiki. Materialy konferentsii. VI Mezhdunarodnyy nauchno-prakticheskiy forum. – M.: Moskovskiy gosudarstvennyy universitet ekonomiki, statistiki i informatiki, 2013. – S. 404-408.
Urazaeva, T. A. Modeli svyazannykh zaemshchikov v notatsii diagramm deyatel'nosti UML / T. A. Urazaeva // Upravlenie konkurentosposobnost'yu regiona: strategii, modeli, informatsionno-analiticheskoe obespechenie: Regional'naya nauchno-prakticheskaya konferentsiya. Ch. 1. – Yoshkar-Ola: MarGTU, 2011. – S. 202-206.
Urazaeva, T. A. Algebra riskov: teoriya i algoritmy / T. A. Urazaeva. – Yoshkar-Ola: Povolzhskiy gosudarstvennyy tekhnologicheskiy universitet, 2013. – 209 s.
Urazaeva, T. A. Algebraicheskaya sistema r

Abstract: The study is devoted to the influence (centrality) model of a social network participant.  The object of studies involves calculations for the centrality metrics, which are based upon the shortest path lengths between the graph vertices for the social graph based upon the iterative performance of the Flajolet-Martin algorithm. The author evaluates the possibility of approximateå evaluation of closeness-centrality based on a simple example. Then, having the calculation results, teh author compares the computed values with the real closeness values, as computed by breadth-first search algorithm (BFS-Algorithm). The methodology of the study involves graph theory elements, as well as the social network analysis apparatus, which allows to compute different centrality metrics of a graph vertex. The key conclusion provides that the Flajolet-Martin algorithm is an easily adaptable tool for the approximate social graph vertex centrality evaluation related with the shortest paths, such as closeness or centrality of the disintegration, as provided for in the work so M. Jackson. In turn, it provides for the new possibilities for the process modeling for the spread of information in the social networks.

Keywords: approximation, code sequence, Flajolet-Martin algorithm, shortest path, closeness, centrality, social graph, social network, computational complexity, social network analysis

References:
U. Kang, Spiros Papadimitriou, Jimeng Sun, Hanghang Tong. Centralities in Large Networks: Algorithms and Observations. Proceedings of the 2011 SIAM International Conference on Data Mining, 2011, pp. 119-130.
P. Flajolet and G. N. Martin. Probabilistic counting algorithms for data base applications. Journal of Computer and System Sciences, 31, 1985, pp. 182–209.
Christopher R. Palmer, Phillip B. Gibbons, Christos Faloutsos. ANF: A Fast and Scalable Tool for Data Mining in Massive Graphs. Proceedings of the Eighth ACM SIGKDD international Conference on Knowledge Discovery and Data Mining. 2002, pp. 81-90.
Matthew O. Jackson. Social and Economic Networks. Princeton University Press. 2008. 520 p.

Abstract: The article is devoted to working out the constructive method of approximation the sum of independent random variables with the same distribution by Pearson curves. The summation theory was and still is one of the key parts of the theory of probability. The limiting theorems are proven within this theory, and they allow one to understand which frequencies may be used for the approximation for the sum so random values with large m. At the same time the approximation error is evaluated by the admissible error. However, in most practical cases the number of the summed values is not large, so the admissible error evaluation may not be sufficiently precise. The purpose of the study is to develop a constructive method for the approximation of the frequency function for the spread of the final sum of  the independent random values with the same frequency. The Pearson curves are then used as approximative frequencies. Such an approximation lacks the defects related to the application of limiting theorems. It is applicable for any number of summed accidental frequencies m>1. The calculated ratios for the initial moments of the final sum of independent random variables are obtained. It is shown that the parameters of the Pearson curves for the sum m of random variables are related by simple ratios with the corresponding parameters of the summed value. The solution used in order to achieve the goal is based upon the moments method. Thå author offers a recursion formula for calculating the starting moments of for the sum of independent random values, allowing to find the central moments of the sum, as well as the parameters for the Pearson curves.  It is proven that there's a dependency between the distance from the point of  The exact expression for the distance from  the point, corresponding to the distribution of the sum of the random variables in the coordinate system of Pearson parameters to the point (0, 3), corresponding to the normal distribution is found. By the distance value, one can indirectly assess the possibility of applying normal approximation. The author studies the possibility for the approximation of Pearson curves with normal distribution. An approximate formula for estimating the error in approximating the sum  of random variables by normal distribution is given. The author provides examples of approximations for the distribution of the sum of random variables are found, which are often met in statistical radio engineering tasks. The reference materials include complete formulae for the key types of Pearson curves. All the obtained results are applicable for any random variables having finite first four initial moments. The correctness of the conclusions is confirmed by numerical calculations performed in the MathCad program.

Keywords: probability measure, recursive algorithm, sum of random variables, normal distribution, moments of a random variable, density function, Pearson curve, random variable, approximation error, method of the moments

References:
Mtropol'skiy A. K. Tekhnika statisticheskikh vychisleniy. – M.: Nauka. Gl. red. fiz.-mat. lit., 1971.-576 s.
Tikhonov V. I. Statisticheskaya radiotekhnika. – M.: Sov. radio, 1966. – 680 s.
Levin B. R. Teoreticheskie osnovy statisticheskoy radiotekhniki. – 3-e izd. pererab. i dop. – M.: Radio i svyaz', 1986. – 656 s.: il.: ISBN 5-256-00264-3.
Levin B. R. Teoreticheskie osnovy statisticheskoy radiotekhniki, kn. 1. – M.: Sov. radio, 1966. – 728 s.
Petrov V. V. Summy nezavisimykh sluchaynykh velichin. – M.: Nauka. Gl. red. fiz.-mat. lit., 1972. – 416 s.
Kazinets L.S. Tempy rosta i strukturnye sdvigi v ekonomike (Pokazateli planirovaniya i analiza).-M.: Ekonomika, 1981.
Ryzhikov Yu. I. Upravlenie zapasami. – M.: Nauka. Gl. red. fiz.-mat. lit., – 1969.-344 s.
Zolotarev V. M. Sovremennaya teoriya summirovaniya nezavisimykh sluchaynykh velichin. – M.: Nauka. Gl. red. fiz.-mat. lit., 1986. – 416 s.
Tablitsy matematicheskoy statistki/ Bol'shev L. N., Smirnov N. V.-M.: Nauka. Gl. red. fiz.-mat. lit.. 1983. – 416 s.
Spravochni

Abstract: The subject of the study is to develop algorithmic  for test methods for aircraft guided missiles, based on the integration of differential equations in the Cauchy form adopted for the mathematical description of the movement of aircraft, which is the basis for modeling the motion of aircraft-guided missiles. The author suggests an approach to algorithmization of the flight path of aircraft guided missiles, which should be used in the development of methods of research and testing of aircraft guided missiles using modeling systems that allow reliably determining and assessing the compliance of the motion characteristics of the aviation guided rockets specified tactical and technical requirements. The research methodology is based on the methods of mathematical modeling, optimal control, computational mathematics, differential and integral calculus. The main result of the study is formed by the basic movement algorithm for simple model of aircraft guided missile based on the impact of wind disturbances. The algorithm allows increasing the complexity by including missile guidance algorithms and control algorithms that take into account the angular movement of the rocket center of mass, dynamic data sensors and steering dynamics rocket drives.

Keywords: testing of aeronautical engineering, math modeling, computer experiment, dynamic motion simulation, flight simulation, aircraft guided missile, testing of aircraft, aviation cybernetics, computational mathematics, optimal control

References:
Stivens R. Algoritmy. Teoriya i prakticheskoe primeneniya /. M.: Izdatel'stvo «E», 2016. 544 s.
Khar'kov V.P., Isaev S.A. Bezopasnoe upravlenie vektorom skorosti poleta BLA na osnove obratnykh zadach dinamiki // Nauchnye chteniya po aviatsii, posvyashchennye pamyati N.E. Zhukovskogo. 2016. ¹ 4. S. 243-248.
Buravlev A.I., Gorchitsa G.I. Printsip vneshnego dopolneniya i ego primenenie pri analize effektivnosti slozhnykh sistem // Informatsionno-izmeritel'nye i upravlyayushchie sistemy. 2008. T. 6. ¹ 7. S. 14-17.
Rudakov I.S., Rudakov S.V., Bogomolov A.V. Metodika identifikatsii vida zakona raspredeleniya parametrov pri provedeniya kontrolya sostoyaniya slozhnykh sistem // Informatsionno-izmeritel'nye i upravlyayushchie sistemy. 2007. T. 5. ¹ 1. S. 66-72.
Sannikov V.A., Yureskul A.G. Osnovnye printsipy postroeniya modeley dvizheniya letatel'nykh apparatov. SPb., 2008. 135 s.
Kublanov M.S. Matematicheskoe modelirovanie zadach letnoy ekspluatatsii vozdushnykh sudov na vzlete i posadke. M.: RIO MGTU GA, 2013. 270 s.
Kurshev N.V., Kozhevnikov Yu.V. Optim

Abstract: The purpose of this article is to consider the correlation of the performance of computational load balancing algorithms for globally distributed computing systems implementing the principle of volunteer computing and the basic attributes of a distributed system. As the main considered parameters the author examines file system structure and the type of network protocol. The object of the study is a globally distributed computing system with scheduling nodes loading. The subject of the study are the balancing methods of loading units of the system, implementing the principle of dynamic computational load balancing strategy. In this article, the methodological basis of the article makes methods of fundamental and applied sciences: analysis methods, methods of mathematical statistics, simulation modeling. The author suggests a model of node computational load in form of nonlinear piecewise-stationary model. The paper shows a method of computing experiment to determine the effectiveness of the balancing algorithms. The author develops a simulation model of distributed complex with the possibility of setting the basic system parameters computer system  and assess their impact on system response time. It is shown that a particular impact on the efficiency of load balancing algorithms have such parameters as file system structure and the type of network protocol. Thus, the necessity of taking into account these parameters to ensure the adequacy of the developed model of the distributed computing system implemented on the basis of volunteer computing.

Keywords: quasilinearization, Grid Computing, simulation, volunteer computing, load balancing, distributed systems, DCS, dynamic balancing methods, schedule tasks, forecast

References:
Alpatov A.N., Mikhaylov B.M., Roshchin A.V. Metody balansirovki i otsenki nagruzki uzlov raspredelennoy vychislitel'noy sistemy. Estestvennye i tekhnicheskie nauki. 2016. ¹ 6 (96). -S. 165-170.
Aliev T. I. Issledovanie slozhnykh sistem na osnove kombinirovannogo podkhoda //Sbornik dokladov vserossiyskoy nauchnoprakticheskoy konferentsii «Imitatsionnoe modelirovanie. Teoriya i praktika. IMMOD-2003».-TOM I. – S. 50.
Babina O. I. i dr. Sravnitel'nyy analiz imitatsionnykh i analiticheskikh modeley //Sbornik dokladov Chetvertoy vserossiyskoy nauchnoprakticheskoy konferentsii «Imitatsionnoe modelirovanie. Teoriya i praktika. IMMOD-2009».– 2009 -c.73-77.
Ntene N. An algorithmic approach to the 2D oriented strip packing problem: dis. – Department of Logistics, University of Stellenbosch, 2007.-p. 189.
Zhang F. et al. Performance Improvement of Distributed Systems by Autotuning of the Configuration Parameters //Tsinghua Science & Technology. – 2011. – T. 16. – ¹. – pp. 440-448.
I. Foster and C. Kesselman. The Grid: Blueprint for

Abstract: The subject of the research is the methods of optimization, in particular, methods of random search for the global extremum of functions. The object of the research is the problems of the random search connected with the replacing the flow of equally distributed truly random numbers with pseudorandom sequences. The authors have created a simulative example that can clearly demonstrate limitations of the method of equal random search in case when the period length of a pseudo-random sequence used is comparable to potentially achievable number of target function calculations in the given group of traditional calculations. The authors demonstrate that there are serious limitations of the random number generator installed in the VBA-subsystem of the Microsoft Office package when using the option of random search in algorithms. When synthesizing the model target function, the author has used the methods of algebra and analysis. The main results of the research is the statement about impractibility of using the pseudo-random number generator installed in the VBA-subsystem of the Microsoft Office package in random search algorithms and recommendations on how to replace the installed sensor with the new generation generators such as Mersenne twister. 
 

Keywords: stochastic optimization, optimization, continuous function, nonlinear programming, linear congruential generator, smooth function, Mersenne twister, Rosenbrock function, objective functions, extremum

References:
Rosenbrock H.H. An automatic method for finding the greatest or least value of a function / H.H. Rosenbrock // The Computer Journal.-1960. Vol. 3. P. 175-184. - DOI: 10.1093/comjnl/3.3.175.
Mersenne Twister VBA Class // Directory of Open Source for Quantitative Finance and Trading.-URL: http://www.quantcode.com/modules/mydownloads/singlefile.php?cid=9&lid=610/. Data obrashcheniya: 18.07.2014.
Matsumoto M. Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator / M. Matsumoto, T. Nishimura // ACM Transactions on Modeling and Computer Simulation (TOMACS). Special issue on uniform random number generation. 1998. Vol. 8. Iss. 1. P. 3-30. - DOI:10.1145/272991.272995.
Urazaeva T.A. Algebra riskov: teoriya i algoritmy / T.A. Urazaeva. Yoshkar-Ola: Povolzhskiy gosudarstvennyy tekhnologicheskiy universitet, 2013. 209 s.
Khimmel'blau D. Prikladnoe nelineynoe programmirovanie / D. Khimmel'blau. M.: Mir, 1975. 534 s.
Zhiglyavskiy A.A. Metody poiska global'nogo ekstremuma / A.A. Zhigl

Abstract: The object of this study is strategic planning in the management process. The authors note the importance of innovation and strategic planning in forming an innovative economy. The article gives detailed review of the main tool of strategic analysis - mathematical modeling. The authors make a conclusion about the need to use a more flexible mathematical apparatus, such as the apparatus of game theory. The authors also note that the theory of games is a very complex area of scientific knowledge. It is especially important to understand its application boundaries. A simplified interpretation of the apparatus of game theory can be very dangerous. The theoretical analysis has been used as a method of research. Individual aspects, features and characteristics of mathematical modeling in strategic planning were identified and reviewed. The main conclusion of this paper is to identify and clearly marked a promising field of research. Since the prospects and hopes placed by the authors on the apparatus of game theory for strategic planning aimed at the transition to an innovation economy, can significantly increase the efficiency of the state management of the economy and to ensure its rapid transition from a resource-production to the economy.

Keywords: oil dependence, planning, innovative development, analysis, model, math modeling, strategic management, game theory, innovations, strategic planning

References:
Trutnev E.K. Territorial'noe planirovanie i kachestvo gorodskoy sredy // Urbanistika i rynok nedvizhimosti. 2014. ¹ 2. C. 67-74. DOI: 10.7256/2313-0539.2014.2.13069.
Stepanov P.P. Reshenie aktual'nykh problem predpriyatiy neftegazovoy otrasli s primeneniem metodov teorii igr // Kibernetika i programmirovanie. 2016. ¹ 4. C. 11-17. DOI: 10.7256/2306-4196.2016.4.20162. URL: http://www.e-notabene.ru/kp/article_20162.html
Ivanov E.O. strategicheskogo politicheskogo planirovaniya // Trendy i upravlenie. 2013. ¹ 2. C. 196-206. DOI: 10.7256/2307-9118.2013.2.5215.
Kovalev V.V. Finansovyy analiz: metody i protsedury. M.: Finansy i statistika, 2006. 560 s.
Shestak O.I. Strategicheskoe planirovanie v Rossiyskoy Federatsii v kontekste polnomochiy organov mestnogo samoupravleniya // Politika i Obshchestvo. 2015. ¹ 5. C. 591-602. DOI: 10.7256/1812-8696.2015.5.15102.
Sheremet A.D. Kompleksnyy analiz khozyaystvennoy deyatel'nosti. M.: Infra-M, 2008. 415 s.
Bakanov M.I., Mel'nik M.V., Sheremet A.D. Teoriya ekonomicheskogo analiza

Abstract: The subject of this study is an algorithm for determining the optimal parameters of shallow thin-walled spatial geometrically nonlinear shells on the elastic base. A main attention is paid to the selection algorithm optimization of such structures and its adaptation to the problem of finding the optimal form of shallow shell construction taking into account the material nonlinearity. The paper also demonstrates the possibility of achieving significant savings in volume (weight) of structures such as thin shallow shells on elastic base by changing its shape and thickness distribution. The optimization algorithm is based on a modification of a method of random search, including a combination of random and gradient search, as well as a method of "ravines". The algorithm for determining the optimal parameters of thin-walled spatial structures can be used to determine critical force and stresses for geometrically nonlinear shallow shells on an elastic base with a variable middle surface shape under various constraints. The novelty of the research is to use the combined method of finding the extremum of nonlinear functions with various restrictions.

Keywords: objective function, optimal shape, elastic base, optimization, shallow shells, geometric nonlinearity, random search, gradient descent, algorithm, construction simulation

References:
Korobeynikov A.G., Kutuzov I.M. Algoritm obfuskatsii // Kibernetika i programmirovanie. 2013. ¹ 3. C. 1-8. DOI: 10.7256/2306-4196.2013.3.9356. URL: http://www.e-notabene.ru/kp/article_9356.html
Stupishin L.Yu. Metodika opredeleniya optimal'nykh parametrov rebristykh obolochek s uchetom konstruktivnykh trebovaniy i trebovaniy mekhanicheskoy bezopasnosti [Tekst]: Stupishin L.Yu., Nikitin K.E. // Promyshlennoe i grazhdanskoe stroitel'stvo. 2013. ¹ 2. S. 23-25.
Andreev V.I. Optimizatsiya po prochnosti tolstostennykh obolochek [Tekst]: Andreev V.I., Potekhin I.A. // Biblioteka nauchnykh razrabotok i proektov MGSU. M., 2011. S. 90.
Stupishin L.Yu. Vosstanovlenie nesushchey sposobnosti i ekspluatatsionnykh kharakteristik geometricheski nelineynykh pologikh obolochek na pryamougol'nom plane [Tekst]: L.Yu. Stupishin, A.G. Kolesnikov // Promyshlennoe i grazhdanskoe stroitel'stvo. 2014. ¹ 2. S. 51-53.
Stupishin L.Yu. Issledovanie napryazhenno-deformirovannogo sostoyaniya pologikh geometricheski nelineynykh obolochek na kruglom plane peremennoy formy pri ra

Abstract: The article focuses on the modeling of information dissemination in online social networks through reposts. The author considers the threshold model and an independent cascade model of information spreading in network. In the context of the independent cascade model author suggests a method of estimating the probability of spreading of information for each pair of connected users. The article reviews visible activity of online social network users that affect the likelihood for a particular user to read the information message, published by one of his friends, and then make a repost. The methodology of the study is related to the mathematical modeling of social processes. To build the model the author uses elements of set theory, graph theory. The main conclusion is that of the models considered (the threshold model and the independent cascade model), which both are special cases of same generalized model, it is the independent cascade model that most accurately reflects the logic of the process of information spreading in the online social network via reposts. The scientific novelty of the work lies in the fact that using the results for independent cascade model the author provides a method for the evaluation of information transmission probabilities for each pair of connected users.

Keywords: connected users, information receiption probability, information diffusion, threshold model, independent cascades model, modeling, social network analysis, online social network, feed, repost

References:
Bakshy E., Rosenn I., Marlow C., Adamic L. The role of social networks in information diffusion / Proceedings of the 21st international conference on World Wide Web. - 2012. - p. 519-528.
Granovetter M. Threshold models of collective behavior. American Journal of Sociology 83(6). - 1978. - p. 1420-1443.
Kempe D., Kleinberg J., Tardos E. Maximizing the Spread of Influence through a Social Network / Proceedings of the 9-th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. - 2003. - p. 137-146.
Gubanov D.A., Novikov D.A., Chkhartishvili A.G. Sotsial'nye seti: Modeli informatsionnogo vliyaniya, upravleniya i protivoborstva. M.: Fizmatlit. - 2010. - 228 s.
Shalimov A.B. Dialektika sotsial'nogo i individual'nogo v sotsial'nykh setyakh // Psikhologiya i Psikhotekhnika. - 2013. - 11. - C. 1030 - 1036.

Abstract: The subject of the study is the hydrological conditions in the territory of the Volga-Akhtuba floodplain taking into account high volumes of water pass through the dam of the Volzhsk hydroelectric power station. The hydrological regime determines both the environmental position of the unique landscape of about 20 thousand square kilometers and the possibility of the rational usage of the territory for the purposes of fish farming, agricultural and recreational functions. Mathematical modeling allows to solve a large number of problems of the floodplain hydrology and to maintain an optimal level of the territory control. The research is focused on the study of emergency situation consequences that occurred because of the high water level in the Volgograd reservoir or in case of accidents that happened at the hydroelectric power station dam. The models offered by the author can be used to provide the optimal schemes of people evacuation from the danger zone between the rivers depending on the external conditions. Particular attention is paid to the development of the effective software for hydrodynamic computational experiments. The study is based on the numerical simulations of the surface water dynamics by using the Eulerian-Lagrangian scheme of Saint-Venant equations integration and parallel CUDA-technology for GPUs calculations. The author has created the model of sowtware which allows to calculate hydrological conditions in the territory of the Volgo-Akhtuba floodplain in case of the very hight water flow through the Volga hydroelectric power station. Application of the CUBA technology-based parallelized code for GPUs can reduce the duration of simulations down by several hours using Tesla K40 processors. Another striking feature of the author's model is the precise digital terrain based on remote sensing data. It was found that the area between the Volga river and the Akhtuba river right bank as well as the urbanized territory including Volgograd, Volzhsky, Southern Industrial Areas, Svetlyi Jar will not be much affected even in case of the catastrophic flooding. 
.

Keywords: hydrology, flooding, Graphical Processing Unit, numerical scheme, floodplain, shallow water model, digital terrain model, CUDA-technology, parallel computations, computational fluid dynamics

References:
Khrapov S.S., Khoperskov A.V., Kuz'min N.M., Pisarev A.V., Kobelev I.A. Chislennaya skhema dlya modelirovaniya dinamiki poverkhnostnykh vod na osnove kombinirovannogo SPH-TVD-podkhoda // Vychislitel'nye metody i programmirovanie. 2011, T. 12, ¹1, S. 282-297.
Khrapov S.S., Khoperskov A.V, Pisarev A.V., Kobelev I.A. Geoinformatsionnaya sistema dlya prognoza sezonnykh zatopleniy // InterKarto-InterGIS 18 : materialy Mezhdunarodnoy konferentsii, Rossiya, Smolensk, 26-28 iyunya 2012. — 2012, S. 386-394.
Khoperskov A.V., Khrapov S.S., Pisarev A.V., Voronin A.A., Eliseeva M.V., Kobelev I.A. Zadacha upravleniya gidrologicheskim rezhimom v ekologo-ekonomicheskoy sisteme «Volzhskaya GES – Volgo-Akhtubinskaya poyma». Ch.1. Modelirovanie dinamiki poverkhnostnykh vod v period vesennego pavodka // Problemy upravleniya, 2012, ¹ 5, S. 18-25.
Pisarev A.V., Khrapov S.S., Khoperskov A.V. Chislennaya skhema na osnove kombinirovannogo podkhoda SPH-TVD: problema modelirovaniya sdvigovykh techeniy // Vestnik VolGU. Ser.1: Matematika. Fizika. 2011. T.15. ¹2. S. 138-141

Abstract: The object of the research is the mathematical modeling and its numerical implementation meant for the description of non-stationary floods. The following is discussed concisely: the structure, the interface and the computing abilities of the software complex EcoGIS-Simulation that is based on geo-information and super-computing technologies for modeling the hydrological mode of floods. The digital model of the terrain is considered to be the most important factor that determines the quality of modeling results. The main focus of the study is the hydrological situation and emergency situation that occurred in 2012 in the area of Krymsk and caused numerous deaths of people. The digital terrain model has been build for the Krymsk area in the Krasnodar region enabling to model the hydrological mode under strong flood conditions adequately using the software package «EcoGIS-Simulation-2.0». The above mentioned software enables to take into consideration all the main physical factors determining flooding dynamics, and uses numerical algorithms especially adapted for the solution of St. Venan equations. The implemented two-unit client-server architecture allows a user to launch several calculations from his client machine on the remote computing clusters. Through the implemented numerical experiments the authors have succeeded in reproducing the dynamics of a flood wave that may cause an emergency situation like that in 2012. A number of features of hydrological conditions that are connected with the landscape and allocation of precipitation have been detected during the flash flood in 2012.

Keywords: graphics accelerators, digital elevation model, software, numerical schemes, St. Venant model, mathematical simulation, computational experiments, hydrological conditions, computational fluid dynamics, technosphere safety

References:
Kuchment L.S., Gel'fan A.N. K opredeleniyu parametrov fiziko-matematicheskikh modeley formirovaniya rechnogo stoka pri nedostatochnosti gidrologicheskikh nablyudeniy // Meteorologiya i gidrologiya. 2005. ¹ 12. S. 77–87.
Kobelev I.A., Khrapov S.S., Khoperskov A.V. «Programma dlya 3D-vizualizatsii rezul'tatov modelirovaniya dinamiki poverkhnostnykh vod dlya zadannoy territorii». Svidetel'stvo ob ofitsial'noy registratsii programmy dlya EVM ¹2011616157 ot 05.08.2011.
Kobelev I.A., Khrapov S.S., Khoperskov A.V. «Programmnoe prilozhenie dlya dvumernoy vizualizatsii rezul'tatov modelirovaniya dinamiki poverkhnostnykh vod na neodnorodnom rel'efe dna». Svidetel'stvo ob ofitsial'noy registratsii programmy dlya EVM ¹2011616156 ot 05.08.2011
Khrapov S.S., Pisarev A.V., Voronin A.A., Khoperskov A.V. «Programmnyy kompleks dlya chislennogo modelirovaniya poverkhnostnykh vod na osnove kombinirovannogo lagranzhevo-eylerova metoda sSPH-TVD». Svidetel'stvo o gosudarstvennoy registratsii programmy dlya EVM ¹ 2012614040 ot 03.05.2012 g.
Khrapov S.S., Khoperskov

Abstract: Methods of multidimensional data processing in the decision making processes are an essential part of the business-processes analysis. In this research the authors intend to analyze multidimensional operations when numerous alternatives are presented. Thus, the subject of the research is the decision making process based on the analysis of multidimensional data received from the system functioning statistics. The authors suggest to analyze the subject of the research that is proposed in terms of statistical data processing from the point of view of the general approach, in particular, within the framework of the image discrimination theory and chemometrics. The authors of the article offer particular methods for generating and processing statistical data. These methods involve developing a multidimensional data structure followed by processing its production function (certainty function). The authors suggest to analyze oiriginal features constituting selected data from the point of view of the dominating motivation principle that is mathematically demonstrated as the mutual influence between these features as well as on the decision to be made. To verify the methods, the authors have performed a number of numerical experiments aimed at both comparing developed algorithms reflecing the authors' approach with Bayesian approach and comparing different production functions. A number of experiments intend to find out the arithmetical mean of several generated random numbers. As a result, the authors have proved the dependence of the number of correct responses on constitutive parameters (the number of objects, the number of features, the volume of the selected data, the number of possible values for each feature). The results of the research demonstrate the better practice of classifying objects based on the authors' methods compared to the classification based on the probability approach. The results can be used to solve a wide range of tasks that are not directly related to the decision making process but deal with multidimensional data analysis. 

Keywords: multiple-factor models, Bayesian probability, chemometrics, pattern recognition, multidimensional data, statistical data, production function, confidence function, decision support, multivariate statistics

References:
Eriksson L. Multi-and Megavariate Data Analysis / L. Eriksson, E. Johansson, N. Kettaneh-Wold, S. Wold. Umetrics AB, 2006.
Hoskuldsson A. Prediction methods in Science and Technology, vol. 1 / A. Hoskuldsson. – Copenhagen: Thor Publishing, 1996.
Mestetskiy L.M. Matematicheskie metody raspoznavaniya obrazov [Elektronnyy resurs]: kurs lektsiy // MGU, VMiK, FRC: Forecasting, Recognition, Classification. URL: http://www.ccas.ru/frc/papers/mestetskii04course.pdf (data obrashcheniya: 26.04.2016).
Korobeynikov A.G., Aleksanin S.A. Metody avtomatizirovannoy obrabotki izobrazheniy pri reshenii zadachi magnitnoy defektoskopii // Kibernetika i programmirovanie. 2015. ¹ 4. C. 49 - 61. DOI: 10.7256/2306-4196.2015.4.16320. URL: http://www.e-notabene.ru/kp/article_16320.html
Katasev A.S., Emaletdinova L.Yu. Nechetko-produktsionnaya kaskadnaya model' diagnostiki sostoyaniya slozhnogo ob'ekta // Programmnye sistemy i vychislitel'nye metody. 2013. ¹ 1. C. 69 - 81. DOI: 10.7256/2305-6061.2013.01.6.
Korobeynikov A.G., Fedosovskiy

Abstract: The subject of the research is the identification of the cluster system in general during computer simulation of the cluster-cluster agregation process. The object of the research is the computer simulation model of formation/destruction of macromolecular clusters heavy oil and reisual oil products. The researcher examines such aspects of the topic as developing significant indicators for identifying the cluster system for the cluster-cluster agregation simulation model. The author analyzes two kinds of indicators, average statistical dispersion that characterizes homogeneity of clusters, and entropy of the cluster system that characterizes the order of the cluster system. The research method is based on the numerical experiment involving various managing parameters of the model and following statistical analysis of indicators under review. Evaluation of the quality of the cluster system identification integral indicators is performed based on the minimum criterion of the variation ratio and verification of statistical hypotheses about a significant difference between indicators when changing managing parameters of the model. Based on the results of the numerical experiment a so called 'divergence ratio' has been defined as the best metrics for the statistical dispersion indicator depending on the minimum criterion. The statistical dispersion indicator and the indicator of the cluster system entropy allow to perform a qualitative analysis of the macroscopic structure of oil systems by the means of simulating the growth of clusters when chaging physical and chemical properties of the gas system as well as technological parameters of the industrial process. For numerical experiments simulating the process of the thermal cracking and following thermocondensation of high-boiling fractions of petroleum hydrocarbons the author has defined technological parameters that trigger the growth of minor clusters with dense structures and, on the contrary, major clusters with less dense structures. The patterns described by the author are important for further usage of cracking residuals as the raw material for manufacturing petroleum coke with the set structure in the carbonic industry. 

Keywords: entropy of the system, average statistical dispersion, cluster identification, cluster structure, cluster-cluster model, associates of macromolecules, oil disperse systems, computer simulations, divergence factor, computer experiment

References:
Mukhametzyanov I.Z. Metody optimizatsii. Nelineynoe programmirovanie: uch. posobie / I.Z. Mukhametzyanov. Ufa: Izd-vo UGNTU, 2010. 95 s.
Svidetel'stvo ob ofitsial'noy registratsii programm dlya EVM ¹2003612009. Imitatsionnoe modelirovanie evolyutsii klasternykh sistem / Mukhametzyanov I.Z., Shaykhislamov A.S., Novichok I.V. M.: Rospatent, 2003. S. 76.
Dyuran B., Odel P. Klasternyy analiz. M.: Statistika, 1977. 128 s.
Klassifikatsiya i klaster / Pod red. Dzh. Ven Rayzin. M.: Mir, 1980. 390 s.
Mukhametzyanov I.Z., Voronov V.G., Spivak S.I. Imitatsionnoe modelirovanie rosta dissipativnykh struktur v neftyanykh sistemakh // Teor. osnovy khim. tekhnologii. 2004. T. 38. ¹ 6. S. 616-623.
Mukhametzyanov I.Z. O primenimosti modeley fraktal'nogo rosta k opisaniyu strukturoobrazovaniya v neftyanykh dispersnykh sistemakh // Kolloid. zhurn. 1991, T. 53. ¹ 4. S. 760-761.
Mukhametzyanov I.Z. Imitatsionnoe modelirovanie rosta assotsiatov makromolekul v neftyanykh sistemakh // Matematicheskoe modelirovanie. 2004. T. 16. ¹ 9. S. 61-71.
Kuzeev I.R., Mu

Abstract: One of the leading trends in the development of education in the world now is to create a comprehensive system of education quality assessment. Today a very urgent task is to develop an automated information system providing collection, storage and structuring information on the education system and allowing promptly processing and interpreting information on the education system. The article presents a “Monitoring of the education system in the Republic of Mari El” automated information system tool with integrated mathematical apparatus. The authors suggest an integrated model of comprehensive evaluation of the quality of regional education activities, allowing calculating the complex indicator of the quality of educational organizations within the cluster. Usage f the tool to assess the quality of the region solves a number of tasks such as complex automation of the collection, processing, analysis and consolidation of indicators and indicators monitoring in the region of the education system. It also provides information support for the implementation of regional policy in the region in the field of education.

Keywords: education quality assessment, monitoring, automated information system, indicators of quality assessment, indexes of quality assessment, educational objects, quality assessment model, education quality management, ñlustering of educational facilities, regional quality assessment

References:
Fatkhullin R.R. Metody stokhasticheskoy optimizatsii pri otsenke kachestva deyatel'nosti obrazovatel'nykh organizatsiy // Vestnik Chuvashskogo universiteta. – Chuvashskiy gosudarstvennyy universitet im. I.N. Ul'yanova – Cheboksary, 2015. – Vyp. 1. – S. 213-221. – ISSN 1810-1909.
Verzhanskiy A.P., Radkevich Ya.M. Metodicheskiy podkhod k otsenke kachestva promyshlennoy produktsii [Elektronnyy resurs]. URL: http://rosgorprom.com/images/_sb2013_pdf/Sb2013ed_1.pdf (data obrashcheniya: 05.02.2016).
Zadachi Data Mining. Klassifikatsiya i klasterizatsiya [Elektronnyy resurs]. URL: http://www.intuit.ru/studies/courses/6/6/lecture/166?page=4 (data obrashcheniya: 15.02.2016).
Klasternyy analiz-Formal'naya postanovka zadachi klasterizatsii [Elektronnyy resurs]. URL: http://chinapads.ru/c/s/klasternyiy_analiz_-_formalnaya_postanovka_zadachi_klasterizatsii (data obrashcheniya: 16.02.2016).
Gregory Piatetsky-Shapiro. Machine Learning, Data Mining, and Knowledge Discovery: An Introduction

Abstract: The article studies methods of constructing sets of elements required for the existence and functioning of developed mathematical model of information-measuring system for electric current and the magnetic field control. The authors research numerical methods for constructing a model of an information-measuring system. On the basis of system analysis the authors review specifications of information-measuring system for electric current and the magnetic field control, ways of constructing its mathematical model using numerical methods, the accuracy of which will reduce the accuracy of measured values. The study is based on the use of system analysis, statistical theory of optics, systems theory, and transformation of electromagnetic field theory, numerical methods. For the majority of tasks a full implementation of mathematical models of a information-measuring system is difficult because of the complicated structure of system components as well as the presence of the factors affecting the operation of the system. In this connection the authors attempt to determine the relationship between the characteristics and parameters of the process of transformation of the measuring system component of the input signal, taking into account all factors.

Keywords: information-measuring system, mathematical model, fiber optic transmitter, numerical method, accuracy, error, Faraday effect, systems analysis, fiber-optic system, technical specifications

References:
Filippov V.N., Nasyrova R.T. Issledovanie tekhnicheskikh kharakteristik informatsionno-izmeritel'nogo pribora na volokonno-opticheskikh elementakh // Fundamental'nye i prikladnye issledovaniya v tekhnicheskikh naukakh v usloviyakh perekhoda predpriyatiy na importozameshchenie: problemy i puti resheniya: sbornik materialov Vserossiyskoy nauchno-tekhnicheskoy konferentsii s mezhdunarodnym uchastiem. – V 2 t. – T. 2. – Ufa: Izd-vo UGNTU, 2015. – S.356-358
Urakseev M.A., Levina T.M., Shamaev F.F., Kulyabin A.S. Razrabotka volokonno-opticheskikh sistem dlya ucheta, monitoringa i prognozirovaniya raboty vysokovol'tnogo oborudovaniya v SUBD s Web-interfeysom // Elektrotekhnicheskie i informatsionnye kompleksy i sistemy. ¹1, t.11. 2015. S. 97-103.
Umergalin T.G. Osnovy vychislitel'noy matematiki: uchebnoe posobie. – Ufa: Izd-vo UGNTU, 2003. – 106 s.
Urakseev M.A., Levina T.M. Volokonno–opticheskie datchiki magnitnogo polya i elektricheskogo toka // Pribory i sistemy. Upravlenie, kontrol', diagnostika. – 2007. – ¹9. – S. 42-45.
Pat. ¹ 157631 Rossiys

Abstract: The subject of the research in this paper is the probability density function (PDF) of the random variable, which is the sum of a finite number of beta values. This law is widespread in the theory of probability and mathematical statistics, because using it can be described by a sufficiently large number of random events, if the value of the corresponding continuous random variable concentrated in a certain range. Since the required sum of beta values can not be expressed by any of the known laws, there is the problem of estimating its density distribution. The aim is to find such approximation for the PDF of the sum of beta-values that would have the least error. To achieve this goal computational experiment was conducted, in which for a given number of beta values the numerical value of the PDF with the approximation of the desired density were compared. As the approximations it were used the normal and the beta distributions. As a conclusion of the experimental analysis the results, indicating the appropriateness the approximation of the desired law with the help of the beta distribution, were obtained. As one of the fields of application of the results the project management problem with the random durations of works is considered. Here, the key issue is the evaluation of project implementation time, which, because of the specific subject area, can be described by the sum of the beta values.

Keywords: random value, beta distribution, density function, normal distribution, the sum of random variables, computational experiment, recursive algorithm, approximation, error, PERT

References:
Oleynikova S.A. Rekursivnyy chislennyy metod dlya eksperimental'noy otsenki zakona raspredeleniya dlitel'nosti proekta v zadachakh setevogo planirovaniya i upravleniya // Programmnye sistemy i vychislitel'nye metody. - 2015. - 1. - C. 69 - 78. DOI: 10.7256/2305-6061.2015.1.14674.
Gupta A.K., Nadarajah S. Handbook of Beta Distribution and Its Applications. New York: Marsel Dekker, 2004. – 579 p.
Borodin A.V. Rekonstruktsiya i issledovanie datchika psevdosluchaynykh chisel v VBA-podsisteme Microsoft Office // Kibernetika i programmirovanie. - 2014. - 4. - C. 14 - 45. DOI: 10.7256/2306-4196.2014.4.12648. URL: http://www.e-notabene.ru/kp/article_12648.html
Oleynikova S. A. Osobennosti sistemy imitatsionnogo modelirovaniya dlya zadach upravleniya proektami so sluchaynoy dlitel'nost'yu vypolneniya rabot // Kibernetika i programmirovanie. - 2015.-¹ 2.-S.68-77. DOI: 10.7256/2306-4196.2015.2.14509.
Oleynikova S.A. Otsenka kriticheskogo vremeni v zadachakh upravleniya proektami // Vestnik Voronezhskogo gosudarstvennogo tekhnicheskog

Abstract: The research is devoted to architectural aspects of creation of fault-tolerant scalable computing systems of a special-purpose. In particular the study focuses on the principles of backup which can be used in a network subsystem of the computing system in the conditions of essential dependence of total cost of ownership of system on a level of degradation of performance metrics. Authors consider such approaches to backup as duplicating and a triple redundancy. For the principle of a triple redundancy in this research the new concept of the functional adaptation of elements of redundancy is offered. Special attention in the paper is paid to the dependence of a "Value at Risk" measure of risk, that characterizes by a random variable of total cost of ownership of the computing system and defines the greatest possible loss at the given level of probability, from such parameters of a system as number of the functional groups of hosts and a level of influence of single and group faults on degradation of performance metrics. For a risk process description in the computing system the notation of ordinary stochastic Petri nets is used. For computation of a measure of risk of "Value at Risk" on the given time-interval the methods of the algebraic theory of risk are used. The main result of the research is in proving the concept of productivity of a triple redundancy approach with the functional adaptation of elements of redundancy in the task of synthesis of topology of a network subsystem. The novelty of research consists in use of methods of the algebraic theory of risk in a task of synthesis of an optimum architecture of computing systems on the given discrete sets of possible decisions.

Keywords: willingness, availability, computer system, scaling, fault tolerance, reservation, feasibility study, triple redundancy, functional adaptation, Value at Risk

References:
Antonov, V. M. Innovatsionnye podkhody k razvitiyu tekhniki i tekhnologiy. Kn. 1 / V. M. Antonov, A. V. Borodin, Yu. A. Ipatov i dr. – Odessa: KUPRIENKO SV, 2015. – 172 s.
Borodin, A. V. Ispol'zovanie kontseptsii «kognitivnogo interneta» v zadachakh povysheniya nadezhnosti i proizvoditel'nosti sistem statsionarnoy i podvizhnoy tsifrovoy svyazi / A. V. Borodin, R. Yu. Nikitin, A. O. Pomerantsev, A. I. Shiryaev // Innovatsii v nauke. Sbornik statey po materialam XLIV mezhdunarodnoy nauchno-prakticheskoy konferentsii. ¹ 4(41). – Novosibirsk: Izdatel'stvo «SibAK», 2015. – S. 24-35.
Borodin, A. V. Metody klassifikatsii i snizheniya razmernosti pri vizualizatsii metrik proizvoditel'nosti / A. V. Borodin, A. N. Azarova // Kibernetika i programmirovanie. – 2015. – ¹ 4. – S. 1-35. – DOI: 10.7256/2306-4196.2015.4.15271. – URL: http://e-notabene.ru/kp/article_ 15271.html.
Borodin, A. V. Igry na setyakh Petri / A. V. Borodin // Obozrenie prikladnoy i promyshlennoy matematiki. – 2002. – T. 9. – V. 1. – S. 167-168.
Borodin, A. V. Teoretiko-igr

Abstract: Modern software allows using technical and graphical analysis to build charts and predictions based on the technical indicators and oscillators. The article describes a technique of making a trading algorithm for stock market using Wealth Lab. The author reviews features of Wealth Lab and describes trading algorithm using standard indicators available in Wealth Lab. The article gives and analysis of the developed algorithm and shows the evaluation of its effectiveness based on the gathered data. Observation is the main method of the study. The author observes a set of data, described by the price and time. Since stock market is constantly changing, it is urgent to have an accurate trading algorithm to make a profit. Applying software allows to evaluate the algorithm. Using techniques of finding the optimal solution of the problem of selection of the parameters, such as exhaustive search and Monte Carlo method, author gathers all data needed. The Wealth Lab allows to test the algorithm using C#, find parameters using optimizer and build charts using build-in methods to evaluate the performance of the algorithm visually.

Keywords: Monte Carlo method, optimal solutions, software, technical analysis, algoritm, economic, futures, stock market, optimization, prediction

References:
Milovanov M.M. Primenenie refleksivnogo analiza kak osnovanie dlya kratkosrochnogo prognozirovaniya povedeniya finansovykh rynkov // Teoreticheskaya i prikladnaya ekonomika. — 2015.-¹ 1.-S.1-9. URL: http://e-notabene.ru/etc/article_14069.html
Milovanov M.M. Prognozirovaniya povedeniya instrumentov finansovykh rynkov s pomoshch'yu refleksivnykh protsessov//Elektronnyy nauchnyy zhurnal "Finansy i uchet".-2014.-Vypusk 4(26) Oktyabr'-Dekabr'. S. 21-23. [Elektronnyy resurs]. – Rezhim dostupa: http://www.finance-and-accounting.ingnpublishing.com/
Milovanov M.M. Primenenie tekhnicheskogo analiza dlya issledovaniya vnutridnevnykh trendov. Teplotekhnika i informatika v obrazovanii, nauke i proizvodstve: sbornik dokladov IV Vserossiyskoy nauchno-prakticheskoy konferentsii studentov, aspirantov i molodykh uchenykh (TIM’2015) s mezhdunarodnym uchastiem, posvyashchennoy 95-letiyu osnovaniya kafedry i universiteta (Ekaterinburg, 26–27 marta 2015 g.). – Ekaterinburg: UrFU, 2015. – 264 s.
Milovanov M.M. Informatsionnye tekhnologii. Elektronnyy uchebno-metod

Abstract: The article considers the simple method of the numerical solution of the two-dimensional wave equation which allows to simulate the following phenomena: 1) propagation and reflection of waves; 2) change of wavelength upon its transition from one environment to another; 3) an interference of waves from several coherent sources; 4) formation of a standing wave; 5) rounding by a wave of obstacles, diffraction of waves; 6) the forced oscillations of an elastic plate; 7) free oscillations of an elastic plate of any form; 8) self-oscillations of an elastic plate. The method of mathematical modeling, a method of the numerical solution of the differential equations in private derivatives, and also a method of color mapping of two-dimensional fields on the screen are used. Novelty of work: the article presents two simple computer programs written in Free Pascal, allowing to simulate rather big set of the phenomena connected about distribution of waves in two-dimensional environments and oscillations of an elastic plate. The given programs can be used in studying numerical methods and bases of computer modeling.

Keywords: forced oscillations, diffraction, interference, membrane oscillating, programming, wave equation, numerical methods, computer modeling, autooscillations, differential equations

References:
Guld Kh., Tobochnik Ya. Komp'yuternoe modelirovanie v fizike: V 2-kh chastyakh. Chast' 1. – M.: Mir, 1990. – 350 s.
Danilov O.E. Komp'yuternoe modelirovanie: Volnovoe uravnenie. Chislennye metody resheniya fizicheskikh zadach. Borland Pascal. Uchebno-metodicheskoe posobie. – Glazov: GGPI, 2009. – 24 s.
Mayer R.V. Zadachi, algoritmy, programmy: Elektronnoe uchebnoe posobie. – Glazov: Glazovsk. gos. ped. in–t, 2012. URL: http://maier–rv.glazov.net
Mayer R.V. Ispol'zovanie vychislitel'nykh eksperimentov pri izuchenii volnovykh protsessov v lineynykh i nelineynykh sredakh // NB: Kibernetika i programmirovanie. — 2014. – ¹ 4. – S.57-65. DOI: 10.7256/2306-4196.2014.4.12683. URL: http://e-notabene.ru/kp/article_12683.html
Mayer R.V. Komp'yuternoe modelirovanie fizicheskikh yavleniy. – Glazov, GGPI: 2009. – 112 s.
Tikhonov A.N., Samarskiy A.A. Uravneniya matematicheskoy fiziki. – M.: Nauka, 1966. – 724 s

Abstract: The human body is seen as an information system. An endocrine subsystem is selected for the study. The authors use data on the level of sugar in blood to calculate it’s dependencies for healthy patients as well as for patients with second type diabetes during control intervals between injections. Authors propose a generalization in a form of mathematical model for autoregulation of these processes in endocrine system using natural internal and medical external injection of insulin and glucose. The model should be used for calculating time intervals between possible critical states of patients and parameters of external deflection compensation of concentration (the intake of dietary carbohydrates and insulin injections) to maintain the normal state of patient. Dependencies of the concentration of sugar in the blood that define the state of endocrine subsystem can be presented in form of continuous exponential graphics with typical monotonous increase and decrease. This allows suggesting the dependence of the control law as a polynomial with coefficients which are specified in real time at the control points. The use of interpolation and extrapolation help to predict the nearest glucose concentration level in the blood based on the accumulated data measured by portable glucometers and, most importantly - to predict extreme states of hyperglycemia and hypoglycemia and perform an approximate calculation of parameters of external insulin and glucose injections. The article present a new model of human endocrine subsystem for diabetes and gives recommendation on use of injections to maintain normal life. The described model is simple and can be efficiently used for controlling the state of patient and calculating the parameters of the external injection (the intake of dietary carbohydrates and insulin injections) for maintaining a normal state using available mobile measurement and evaluation means.

Keywords: endocrine system, glucose concentration, insulin injections, injection of glucose, glycemic Index, hyperglycemia threshold , hypoglycemia threshold , information model, model of regulation, homeostasis

References:
A.S. Bratus' A.S. i dr. Dinamicheskie sistemy i modeli biologii ISBN 978-5-9221-1192-8, Fizmatlit 2010 400s
German I. Fizika organizma cheloveka. Izd. dom INTELLEKT Dolgoprudnyy 2011g
Khankov S.I. Kormilitsyn A.Yu. Skorubskiy V.I. Metodika izmereniya i rascheta kharakteristik dykhaniya.Nauchno-tekhnicheskiy vestnik SPbGU ITMO-2013-¹3(85)-S.118-121
Balabolkin M. I. Diabetologiya: Moskva, Meditsinab 2000-672s
Klinicheskaya endokrinologiya. Rukovodstvo / N. T. Starkova. — izdanie 3-e, pererabotannoe i dopolnennoe. — Sankt-Peterburg: Piter, 2002. — S. 213. — 576 s. — («Sputnik Vracha»). — ISBN 5-272-00314-4
Astamirova Kh. Akhmanov M. Nastol'naya kniga diabetika: Izd Eskiz 2012 415 s
Akhmanov M Diabet v pozhilom vozraste: Spb Nevskiy prospekt 2003 g 179 s
Khyurter P, Trevis L.B. Kniga o sakharnom diabete I tipa: Frankfurt, M:Kniga po trebovaniyu,2012 – 195c
Piter Dzh. Uotkins. Sakharnyy diabet = ABC of Diabetes / M. I. Balabolkin. — 2. — M.: Binom, 2006. — P. 46. — 134 p. — 3000 ekz. — ISBN 5-9518-0156-7
I. I

Abstract: Perception and evaluation of distance is possible both in monocular (one eye) and binocular (using both eyes) vision.  In the latter case, the distance is estimated much more precisely. Questions of perception and distance estimates are relevant in hiring employees in different specialties, such as motor vehicle drivers, surveyors, experts in the field of engineering graphics and graphic activity. These abilities are especially important in physical education and sports, particularly in games, martial arts and orienteering. The article proposes a method for evaluation of distance perception using a camera and computer-controlled light emitters placed on a flat surface. Light emitters create two light spots on the surface. Examinee is placed in the middle of the line drawn through the centers of the light spots. Software randomly changes the area, the direction and velocity of the light spots during a predetermined time. Examinee evaluates the transformation and movement of light spots and moves to stay in the middle of the line going through the centers of the light spots. The transformation of the light spots and movements of the examinee are recorded, the video then analyzed by software that calculates the middle point, the examinee’s location and the arithmetic mean of the calculated distances. Using the arithmetic mean the examinee’s ability of distance perception and evaluation is judged. Known methods of evaluating the perception of distance uses a static position of the examinee and are less useful in the professional selection for various activities, including sport. The proposed technology is aimed at assessing the perception of distance as a result of motor actions of the examinee, which is typical for many activities.

Keywords: games, sport, professional selection, computer technology, training, evaluation, perception, distance, martial arts, orienteering

References:
Slastenina T. A. Nachal'nyy etap v obuchenii tekhnike igry v voleybol // Vestnik Yuzhno-Ural'skogo gosudarstvennogo universiteta. Seriya: Obrazovanie, zdravookhranenie, fizicheskaya kul'tura . 2006. ¹3(58). S. 6-8.
Afon'shin V. E., Polevshchikov M. M., Rozhentsov V. V. Tekhnologiya trenirovki peredach v sportivnykh igrakh // Uchenye zapiski universiteta imeni P.F. Lesgafta. 2014. ¹ 1(107). S. 10-13.
Afon'shin V. E., Polevshchikov M. M., Rozhentsov V. V. Tekhnologiya trenirovki obvodki v sportivnykh igrakh // Fundamental'nye issledovaniya. 2014. ¹ 5-2. S. 332-335.
Demidov V. A., Shemuratov D. F., Shemuratov F. A. Miorelaksatsiya v sisteme podgotovki bokserov-novichkov // Vestnik Yuzhno-Ural'skogo gosudarstvennogo universiteta. Seriya: Obrazovanie, zdravookhranenie, fizicheskaya kul'tura . 2008. ¹19(199). S. 130-134.
Skripchenko I. T., Kozina Zh. L. Razvitie tochnosti vospriyatiya rasstoyaniya v sportivnom orientirovanii // Pedagogika, psikhologiya i mediko-biologicheskie problemy fizicheskogo vospitaniya i sporta. 2009. ¹ 4. S. 117-121.
Begletsov A.

Abstract: When controlling the wheeled vehicle there’s always a need in the forced changing of its trajectory, ie in a steering system the operation of which is based on that steering angle changes through steering mechanism (using external force). That requires a kinematic connection between a steering mechanism and steering drive and thus leads to increase of complexity of machine design. In this regard, the question arises: is it possible to avoid this complication? It turns out that it is possible with usage of steering system based on the difference between the rotational speeds of the steered wheels. The article describes a method of controlling a wheeled vehicle by setting a certain speed of rotation of the steered wheels without using the steering mechanism. The author describes and algorithm for controlling of vehicle based on a proposed method. For the inventive method in the form as it is described in the appended claims the possibility of its implementation using the methods described in the application and means known before the priority date is confirmed.  Therefore, the claimed invention meets the condition of "industrial applicability". Thus, it is possible to control rotation of the vehicle wheels using the chosen law providing the conditions necessary for a rotation motion taking into account the surface irregularities.

Keywords: steering system, the control wheel, steering mechanism, vehicle, transport, steering wheel, control, wheel, velocity difference, suspension

References:
Smirnov G.A. Teoriya dvizheniya kolesnykh mashin: Ucheb. dlya studentov mashinostroit. spets. vuzov / G.A. Smirnov.-M.: Mashinostroenie, 1990.-352s.
Gaptarvaliev I.I. Sistema upravleniya kolesnymi transportnymi sred-stvami na osnove regulirovaniya tsiklicheskikh chastot vrashcheniya upravlyayushchikh koles / I.I. Gaptarvaliev, A.V. Smirnov // Sbornik materialov Vserossiyskoy nauchno-prakticheskoy konferentsii: v 2 ch. Ch. 1. Yoshkar-Ola: Mariyskiy gosu-darstvennyy tekhnicheskiy universitet, 2011. – S. 149-150.
Turevskiy I.S. Teoriya avtomobilya / I.S. Turevskiy. M.: Vysshaya shkola, 2005.-240s.
Evdokimov A.O. Kompleksirovanie algoritmov obrabotki radionaviga-tsionnykh dannykh i analiza izobrazheniy dlya korrektirovki marshruta dvizheniya nazemnogo transportnogo sredstva [Tekst] / A. O. Evdokimov, A. V. Zuev, A. A. Kislitsyn. // Vestnik Povolzhskogo gosudarstvennogo tekhnologicheskogo uni-versiteta. Ser.: Radiotekhnicheskie i infokommunikatsionnye sistemy.-2013.-¹ 2(18).-S. 61-72.

Abstract: One of the leading trends in the development of education in today's world is the creation of a system for comprehensive evaluation of the quality of education. The approaches to defining the quality of education are being actively developed, different aspects, indicators and parameters are being studied. Complex estimation the effectiveness of educational organizations is a multicriteria task that requires establishing the criteria and procedures for their evaluation for solving. The article analyzes the methods of multi-criteria optimization which may become components of a comprehensive assessment of the quality of educational activities. The author analyzes methods of multicriteria optimization and theory of neural networks. The article reviews multicriteria statistical models for a comprehensive evaluation of the quality of educational organizations. One of them is based on the educational qualimetry and involves the use of methods of convolution dominant and compensated indicators into an integrated indicator. Another model involves the use of neural networks and is based on the analytical data processing technology. With the implementation of the models considered such important quality indicators of a comprehensive assessment of the effectiveness of the quality of educational institutions as objectivity of evaluation, scalability, simplicity and ease of use, may increase. The results obtained can be widely used in a comprehensive assessment of the quality of educational institutions at various education levels.

Keywords: education quality evaluation, multiobjective optimization, convolution of criteria, neural networks, educational qualimetry, quality indicators, matlab, comprehensive assessment of the quality, weighting indices, quality of activities

References:
Gudkov P.A. Metody sravnitel'nogo analiza: Uchebnoe posobie.-Penza: Izd-vo Penz. gos. un-ta, 2008.
Azhmukhamedov I.M., Azhmukhamedov A.A. Formirovanie reytingovoy otsenki kachestva obrazovaniya na osnove nechetkoy grafovoy modeli // Vestnik AGTU. Seriya: Upravlenie, vychislitel'naya tekhnika i informatika. – 2012. – ¹1. – S. 150–157.
Korneshchuk N.G. Teoretiko-metodologieskie osnovy kompleksnoy otsenki kachestva deyatel'nosti obrazovatel'noy sistemy [Tekst]: avtoref. dis. Na soisk. uchen. step. dok. ped. nauk (13.00.01) / Korneshchuk Nina Gennad'evna; Magnitogorskiy gos. univ. – Magnitogorsk, 2007. – 49.
Larichev O.I. Teoriya i metody prinyatiya resheniy, a takzhe Khronika sobytiy v Volshebnykh Stranakh: Uchebnik. – M.: Logos, 2000. – 296 s: il.
Chastikov A.P., Ledneva I. Yu. Ispol'zovanie bayesovskoy seti pri razrabotke ekspertnykh sistem s nechetkimi znaniyami: Materialy konferentsii ITO-2000 g. Krasnodar. URL: http://ito.edu.ru/2000/II/5/5152.html (14.08.2014).
Stevens S.S. On the theory of scales of measurement // Science. 1946.

Abstract: The author reviews a problem of use of educational computational experiments in the study of physical phenomena. By educational computational experiment author means experiment on the mathematical model of the object carried out with the aid of a computer for the purpose of learning. A set of simplified versions of educational computational experiments adapted to the conditions of learning form a System of educational computational experiments. The article analyzes the examples of the use of educational computer experiment for: 1) for the study of the magnetization of a ferromagnet, calculation of the magnetization curve and hysteresis loop; 2) study of chaotic oscillations of a Dafing pendulum, occurrence of bifurcation in changes in the profile of the potential well, study of Poincaré section and the evolution of the phase volume. The authors apply mathematical and computational methods (simulation) modeling, which involves the construction of a mathematical model and building a software simulating the phenomenon under study based on the numerical solution of the corresponding to its’ system of equations. The novelty of the work is in the proposed four simple computer programs in Pascal, allowing: 1) obtain the magnetization curve and hysteresis loop for a ferromagnet in a changing magnetic field; 2) simulate the oscillation of the Dafing pendulum; 3) study the transition of oscillator into the chaotic regime at a change of the potential well; 4) get a Poincaré section and to study the evolution of the phase volume for Dafing pendulum.

Keywords: information technology, computer simulation, programming, computer simulations, physical phenomena, education, magnetization of a ferromagnet, magnetic hysteresis, Dafing pendulum, dynamic chaos

References:
Mayer R.V. Ispol'zovanie vychislitel'nykh eksperimentov pri izuchenii volnovykh protsessov v lineynykh i nelineynykh sredakh // NB: Kibernetika i programmirovanie.-2014.-¹4.-C. 57-65. DOI: 10.7256/2306-4196.2014.4.12683. URL: http://www.e-notabene.ru/kp/article_12683.html.
Mayer R.V. Zadachi, algoritmy, programmy. [Elektronnyy resurs] –– Glazov, 2011.-URL: http://maier-rv.glazov.net.
Kunin S. Vychislitel'naya fizika. –– M.: Mir, 1992. –– 518 s.
Guld Kh. Tobochnik Ya. Komp'yuternoe modelirovanie v fizike: V 2 ch. / Kh. Guld, Ya. Tobochnik. – M.: Mir, 1990. – Ch.2. – 400 s.
Mayer R.V. Komp'yuternoe modelirovanie fizicheskikh yavleniy. –– Glazov: GGPI, 2009. –– 112 s. (Rezhim dostupa: maier-rv.glazov.net).
Samarskiy A.A., Mikhaylov A.P. Matematicheskoe modelirovanie: Idei. Metody. Primery. –– M.: Fizmatlit, 2001. –– 320 s.

Abstract: For many years various tools from conventional thermometer to sophisticated measuring instruments were used in medicine to improve the diagnosis of disease. Verification of the effectiveness and safety of diagnostic techniques is the basis of evidence-based medicine. It requires mathematical methods of for assessing the quality of treatment and measuring tools. Diabetes is a massive and incurable disease, however, with self-control, following the recommendations depending on the type of disease and gathering information on the state of the organism the parameters of injections can be calculated to keep the near normal state of health, which is highly important at the pace of modern life. In this article the authors suggest a model of endocrine subsystem of a person with the II-type diabetes. The model is based on the analysis of characteristics of changes of glucose concentration in blood. The model can not be considered exhaustive due to a wide variety of internal and external factors, affecting the subsystem state and therefore influencing general health of the person and reducing the threat of dangerous consequences. However, with a certain objectivity, the model can be used to calculate parameters of external influences (caloric intake and insulin injections) to maintain a normal state of the patient using the mobile means.

Keywords: diabetes , endocrine subsystem , glucose concentration , automatic control system of a regulatory type, glucose , type II diabetes , simulation , subsystem , disease , analysis

References:
Astamirova Kh.S. Nastol'naya kniga diabetika. 5-e izdanie / Kh.S. Astami-rova, M.S. Akhmanov-Izd. Eksmo. 2012.-540 s.
Khyurter P., Trevis L.B. Kniga o sakharnom diabete I tipa /per. s nem. akad. RAMN I.I. Dedovym, k.m.n. E.G. Starostinoy, d.m.n. M.B. Antsiferovym / P. Khyurter, L. B.Trevis-Izd. Gerkhards/Frankfurt, Germaniya. 2012. – 195 s.
Akhmanov M.S. Diabet v pozhilom vozraste. 2-e izd. / M.S. Akhmanov-SPb: Nevskiy prospekt, 2003. – 180 s. ISBN: 978-5-9684-1964-4.

Abstract: The article is devoted to developing of methods and algorithms of finding eigen values for analyzing dynamics and stability of reed sensors. Matrix-topological method, PC-oriented, uses a model with lumped parameters to describe the oscillatory processes of microsensors beam elements and reeds contact cores. Replacement of the system with distributed parameters with the equivalent model with lumped parameters is achieved by using the Rayleigh method. This method leads to considering a system with a higher hardness than original, thereby obtaining a higher frequency compared with the actual. The authors developed a matrix-topological model for frequency analysis of geometrically-complex and multilink reed sensors based on the switching to the system with lumped parameters using following methods: electromechanical analogies, method Rayleigh-Ritz method and graph theory. On the example of one of the three constructs of reeds oscillatory systems the authors compare theoretical results of calculation of reed sensors eigen frequencies, gathered using matrix-topological method with corresponding experimentally obtained values with piezoelectric and optical methods of the reed sensors frequency spectra analysis. The correctness of the frequency analysis was achieved using Fourier frequency filters.

Keywords: eigen values, reed, algorithm, method, microsensor, analysis , dynamics , stability , element, contact core

References:
Tkalich, V.L. Nadezhnost' magnitoupravlyaemykh kontaktov v sistemakh upravleniya / V.L. Tkalich – CPb: CPb GITMO (TU), 2000. – 98 s.
Tkalich, V.L. Matrichnyy metod analiza kolebatel'nykh protsessov gerkona / V.L. Tkalich, N.N. Gubanov.-Dep. vo VINITI, ¹ 218-294, 26.01.94. – 13 c.
Tkalich, V.L. Topologicheskaya model' kontaktnykh serdechnikov gerkona s sosredotochennymi parametrami / V.L. Tkalich, N.N. Gubanov.-Dep. vo VINITI, ¹ 219-294, 26.01.94. – 12 c.
Pat. 136920 Rossiyskaya Federatsiya, MPK7 H01 H1/66. Magnitoupravlyaemyy kontakt [Tekst] / Labkovskaya R.Ya., Tkalich V.L., Pirozhnikova O.I., Korobeynikov A.G.; zayavitel' i patentoobladatel' federal'noe gosudarstvennoe byudzhetnoe obrazovatel'noe uchrezhdenie vysshego professional'nogo obrazovaniya «Sankt-Peterburgskiy natsional'nyy issledovatel'skiy universitet informatsionnykh tekhnologiy, mekhaniki i optiki». – Zayavka ¹ 2013137233/07 ot 08.08.2013; opubl. 20.01.14, Byul. ¹2.
Reshenie o vydache patenta na poleznuyu model', zayavka ¹2014108108/07(012874) ot 03.03.2014. Magnitoupravlyaemy

Abstract: The article reviews some aspects of practical use of the pseudo-random number sensors in computational mathematics and cryptography. In particular the author studied inappropriate behavior of the Monte Carlo method in solving the task of risk assessment of uniform credit portfolio using regular pseudo-random number sensor of the Microsoft Office programming system. The article identifies limits of the regular pseudo-random number sensor. The author reconstructs it in terms of single-module residue arithmetic and on that basis proves unreasonableness of its use in cryptographic applications and explained certain aspects of inadequate behavior of the Monte Carlo in the given example. The article proposes a solution as alternative pseudo-random number sensor based on the Mersenne twister for solving the complex tasks of computational mathematics. The article shows results of corresponding numerical experiments. The research is based on the numerical experiments based on the Monte Carlo method. The reconstruction and study of the pseudo-random number sensor of the Microsoft Office programming system involved number and theoretic methods. Probability theory formalism is used in formulating of the model problem and interpreting the results of its solution. The paper for the first time shows the comparison of the "Value at Risk" results for a task of risk assessment of uniform credit portfolio received using Monte Carlo method with exact values, calculated using the methods of the algebraic theory of risk. This comparison allowed to determine the limitations for Monte Carlo based methods and other methods using regular pseudo-random number sensor of the Microsoft Office programming system. The author proposes alternative solution for the problem and shows its adequacy in the corresponding numerical experiment.

Keywords: risk, VBA, cryptography, Monte Carlo method , linear congruential method , pseudo-random number , random number, risk measure, Value at Risk , Mersenne twister

References:
Reeds, J. "Cracking" a Random Number Generator / J. Reeds // Cryptologia. – 1977. – Vol. 1. – No. 1. – P. 20-26.
Mersenne Twister VBA Class // Directory of Open Source for Quan-titative Finance and Trading. – URL: http://www.quantcode.com/modules/mydownloads/singlefile.php?cid=9&lid=610/. Data obrashcheniya: 18.07.2014.
Reeds, J. Cracking a multiplicative congruential encryption algorithm / J. Reeds // Information Linkage Between Applied Mathematics and Industry (Proc. First Annual Workshop, Naval Postgraduate School, Monterey, Calif., 1978). – New York: Academic Press, 1979. – P. 467-472.
Matsumoto, M. Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator / M. Matsumoto, T. Nishimura // ACM Transactions on Modeling and Computer Simulation (TOMACS). Special issue on uniform random number generation. – 1998. – Vol. 8. – Iss. 1. – P. 3-30. – DOI:10.1145/272991.272995.
Jorion, P. Value at Risk: The New Benchmark for Managing Financial Risk / P. Jorion. – McGraw-Hi

Abstract: The article is devoted to the problem of computer simulation of biochemical analysis of biological fluids using the Stat Fax® 1904 + R. The author describes methodology and stages of creating an educational simulator (formulation of the problem, project planning, defining the system, gathering of input data, translation of the model, verification and validation, implementation of the system into the educational process). The article presents main methods for calculation of substances’ concentration, imitated by the computer simulator (based on the standard, factor calculation, multi-point calibration and kinetic characteristics measuring). The author pays significant attention to the interface design of the application’s main window that visualize virtual desktop for carrying out biochemical analysis. The essential elements of the simulated desktop are the images of the device with working keyboard, display, printing area for displaying the results of analysis, tubes (blank, standard, sample) with corresponding buttons, as well as the power button. The task of simulation of the quantitative and qualitative characteristics of the test mixture is solved using random number generator. The results of the presented study can be used in building educational computer simulators not only in medicine but also in other areas of professional activity. 

Keywords: computer simulation , simulator, biochemical analysis , laboratory diagnostics, biochemical analyzer, Stat Fax® 1904 + R, medical education, substance concentration, virtual desktop, optical density simulation

References:
Sidorkina I.G.SAPR i intellektual'nye obuchayushchie tekhnologii // Kibernetika i programmirovanie", ¹ 1, 2014 DOI: 10.7256/2306-4196.2014.1.11316
Korobeynikov A.G., Ismagilov V.S., Kopytenko Yu.A., Petrishchev M.S. Issledovanie geoelektricheskoy struktury zemnoy kory na baze analiza fazovykh skorostey ul'tranizkochastotnykh geomagnitnykh variatsiy // NB: Kibernetika i programmirovanie.-2013.-2.-C. 36-43. DOI: 10.7256/2306-4196.2013.2.8736. URL: http://www.e-notabene.ru/kp/article_8736.html
O’Kelly, P. Computer simulation of thermal plant operations / P. O’Kelly. – NY: Springer Science + Business Media, 2013. – 511 p.
Chastikov A.P., Totukhov K.E. Teoreticheskie osnovy intellektual'noy simulyatsii promyshlennykh robotov / A.P. Chastikov, K.E. Totukhov. – Saarbryukken: Lap Lambert Academic Publishing, 2013. – 120 s.
Chung, Chris. Simulation modeling handbook: a practical approach / Chris. Chung. – NY: CRC Press LLC, 2004. – 574 p.
Kolsanov, A.V. Virtual surgeon system for simulation in surgical training / A.V. Kolsanov

Abstract: The course of physics in colleges and universities includes various wave processes: reflection and transmission of the pulse through the interface between two media, interference, wave propagation in a dispersive medium, the formation and interaction of solutions. Here it is important to combine theoretical and practical approaches to studying of these phenomena with computer models, allowing creating visual image of the phenomenon and analyzing its behavior in different conditions. The subjects of the study are the simple computer models and computational experiments helping to show the wave processes in the one-dimensional linear and nonlinear media. The experiments require mathematical and computer modeling, building a mathematical model, creating software simulating the studied phenomenon based on the numerical solution of the corresponding system of equations. The novelty of the work is in the fact that the author presents three simple computer programs written in Pascal, simulating pulse propagation in one-dimensional medium, its reflection from the boundary between two media, and its passage of the second medium, the wave propagation in a dispersive medium, the formation of different solutions and their interactions. The analysis of the results of computer modeling allows to state that the use of such computational experiments based on the simulation of a one-dimensional medium by a system of coupled springing or simple pendulums or solving the sine-Gordon equation really allows to study the wave processes at a higher level and to form interest in physics and information technologies. 

Keywords: computational experiment, numerical modeling, computer simulations, model of the one-dimensional medium, wave processes, dispersion, interference, soliton, sine-Gordon equation, information technology

References:
Komartsova L.G., Lavrenkov Yu.N., Antipova O.V. Kompleksnyy podkhod k issledovaniyu slozhnykh sistem // Programmnye sistemy i vychislitel'nye metody.-2013.-¹4.-C. 330-334. DOI: 10.7256/2305-6061.2013.4.10551. URL:http://www.nbpublish.com/go_to_article.php?id=27660.
Galochkin V.I. Zadachi zaklyuchitel'nogo tura Mezhdunarodnoy internet-olimpiady po informatike i programmirovaniyu 2012 goda dlya studentov vuzov Rossii i blizhayshego zarubezh'ya // Programmnye sistemy i vychislitel'nye metody. – 2012. – ¹ 1. – S. 17-27.
Bulavin L.A., Vygornitskiy N.V., Lebovka N.I. Komp'yuternoe modelirovanie fizicheskikh sistem. – Dolgoprudnyy: Izdatel'skiy Dom “Intellekt”, 2011. – 352 c.
Kunin S. Vychislitel'naya fizika. – M.: Mir, 1992. – 518 s.
Mayer R.V. Zadachi, algoritmy, programmy [Elektronnyy resurs] / Rezhim dostupa: URL: http://mayer.hop.ru
Mayer R.V. Komp'yuternoe modelirovanie fizicheskikh yavleniy. – Glazov, GGPI: 2009. – 112 s. (http://maier-rv.glazov.ru)
Tikhonov A.N., Samarskiy A.A. Uravneniya matematicheskoy fiziki. – M.: Nauka

Abstract: The authors study arbitration system for data threads between ports of modern serial PCI Express bus. The article is devoted to the development of a model for that system. For the model the authors make an assumption, that switching matrix of the switch is non-blocking. Authors describe principles of the software model operation that allows to study the arbitration algorithm and the dependence of flow characteristics upon various factors. Using the mentioned above model the authors examines the influence of the virtual channels quantity and of the unevenness of the input ports load of the commutator on the amount of buffering memory of the port and virtual channels’ arbiters. The article uses computational experiment based on the software model of PCI Express bus arbitration as a method of the research. The produced model is based on the concepts and algorithms regulated by the official protocol specification for PCI Express. The authors present a software model of multistage arbitrator switch for PCI Express, in which varies the set of parameters of the arbitration specific for the real bus load on the cluster systems. The modular approach allows to modify the software model and include different priority schemes. The model designed and described in the article may be used in the building of the switch structure, as well as in configuration of an arbitrator, which can be useful when creating a cluster system with external PCI Express switches, which found practical use relatively recently. The model can be also used during the study of the PCI Express protocol.

Keywords: arbitration, switch, PCI Express, serial interface, simulation model, priority scheme, cyclic scheme, virtual channels, waiting-line theory, transaction level

References:
PCI Express Base 3.0 Specification [Elektronnyy resurs] // URL: http://www.pcisig.com/specifications/pciexpress/base3/
Tynkevich, M.A. Ekonomiko-matematicheskie metody (issledovanie operatsiy) [Tekst] / M.A. Tynkevich. – Kemerovo, 2000. – 177 c.
Kostromina, N.V. Osnovy modelirovaniya vychislitel'nykh sistem: Uchebnoe posobie. [Tekst] / N.V. Kostromina, A.V. Aldashkin, D.V. Morokhin. – Yoshkar-Ola: MarGTU, 2000. – 150 s
Gorokhov A.V. Formal'nyy sintez struktury imitatsionnoy modeli (na primere sinteza sistemno-dinamicheskikh modeley) // Programmnye sistemy i vychislitel'nye metody. - 2013. - 3. - C. 277 - 284. DOI: 10.7256/2305-6061.2013.3.8855.

Abstract: The article continues provision of a rationale for a new philosophic point of view on the processes of Life and Consciousness, using Population Dynamics as the main mechanism of evolution of biological, psychic, social, and other systems. The presented study is the first step in developing mathematical analysis of population dynamics with the use of Ambivalent Generalization Theory for building an operational mathematical system for simulations and studies of arbitrary populations. Simplicity and consistency of the Theory allows not only to solve qualitative problems in the fields of different sciences, but also to build models of natural populations with any level of approximation to the original, if we ignore the limitations of the available computing power and the knowability of the initial parameters of these populations. The author is purposely not looking for a specific field of application for the new Algebra to focus the attention exactly on the methodological part of the universal approach. In fact, the article presents quite simple adaptation of the Ambivalent Generalization Theory on the language of mathematical objects, such as vectors and matrixes. The author expects a wide field of appliance for the new Algebra, and, if it so happens, it will be consequence of the ambiguity of the Ambivalent Generalization Theory in the description of the laws of populations evolving. In that case Ambivalent Generalization Theory will be a step on the way of giving mathematical basis for both biological and social sciences. For further stressing out the importance of such direction of development as the Theory of Population Dynamics the author points out one of the main conclusions of Generalization Theory, which is in the fact, that development of populations, in itself, is a mechanism for world perception and that the development of the Generalization Theory Algebra may become a new tool for materialistic scientific knowledge.

Keywords: signal function, attribute, informational process, simulation, Ambivalent Generalization, Population Dynamics, mutation, creditization, conversion, translation

References:
Oleg Apartsev. Dinamika populyatsiy: filosofskiy aspekt//LAP LAMBERT Academic Publishing, 2014. ISBN: 978-3-659-53119-4.
Apartsev O.R. Informatsionnyy podkhod v biodinamike // NB: Filosofskie issledovaniya. — 2014.-¹2.-S.37-70. DOI: 10.7256/2306-0174.2014.2.10895. URL: http://e-notabene.ru/fr/article_10895.html.
Apartsev O.R. Ambivalentnaya generalizatsiya v biodinamike // NB: Filosofskie issledovaniya. — 2014.-¹3.-S.100-148. DOI: 10.7256/2306-0174.2014.3.11367. URL: http://enotabene.ru/fr/article_11367.html.
Apartsev O.R. Ul'trabioticheskaya generalizatsiya // NB: Psikhologiya i psikhotekhnika. — 2014.-¹ 1.-S.55-93. DOI: 10.7256/2306-0425.2014.1.11796. URL: http://e-notabene.ru/psp/article_11796.html.

Abstract: The subject of the study is analysis of a sequence of transformations of information about functioning of an educational institution in the simulation of management of its activities as a training and research center. The paper analyzes the structure and functioning of the educational institutions of higher education system within the trends of modernization and quality of education set by legal documents of the educational system of the Russian Federation. In addition, the article presents an example of a developed diagram of the university, which allows searching and predicting the causes of the inefficiency of its activities, and is relevant for choosing ways to achieve the best possible performance. The article describes the developed mathematical model of the university as a dynamic control system for a continuous period of time, allowing to estimate the characteristics of the dynamics of an educational establishment, and also allowing to develop a software system to improve decision-making in the university management. A set of techniques used includes methods of system analysis, expert evaluation methods and functional analysis, methods of the theory of differential equations, methods of mathematical statistics, methods of decision theory, methods of control theory of complex systems, methods of the theory of databases and expert systems, methods of discrete mathematics, the theory of automatic methods management. A list of indicators of the university as an educational and scientific center is formed in terms of indicators to measure the quality of modern functioning education-enforcement agencies. Author impact diagram of components of the university as a dynamic control system. A mathematical model of the educational institution as a dynamic control system for a continuous period of time is given.

Keywords: education system, mathematical modeling, control systems, transformation of information, cause-and-effect diagram, assessment of efficiency, dynamical systems, identification of management facilities, expert assessments, software package

References:
Federal'nyy zakon «Ob obrazovanii v Rossiyskoy Federatsii» ot 26 dekabrya 2012 goda.
Prikaz Minobrnauki Rossii ot 10.12.2013 goda «Ob utverzhdenii pokazateley deyatel'nosti obrazovatel'noy organizatsii, podlezhashchey samoobsledovaniyu» (Zaregistrirovano v Minyuste Rossii 28.01.2014 ¹31135).
Perechen' pokazateley otsenki effektivnosti deyatel'nosti federal'nykh gosudarstvennykh obrazovatel'nykh uchrezhdeniy vysshego professional'nogo obrazovaniya i ikh filialov ot 09 avgusta 2012 goda.
Primernyy perechen' kriteriev obshcherossiyskoy sistemy otsenki effektivnosti deyatel'nosti vysshikh uchebnykh zavedeniy ot 19 iyunya 2012 goda.
Gosudarstvennaya programma Rossiyskoy Federatsii «Razvitie nauki i tekhnologiy» na 2013-2020 gody.
Gosudarstvennaya programma «Razvitie obrazovaniya» na 2013-2020 gody.
Diligenskaya A.N. Identifikatsiya ob'ektov upravleniya: Ucheb. posob. – Samara: Samar. gos. tekhn. un-t., 2009.– 136 s.
Semenov A. D., Artamonov D. V., Bryukhachev A. V. Identifikatsiya ob'ektov upravleniya: Uchebn. posobie.-Penza: Izd-vo Penz. gos.

Abstract: To study the characteristics of the process of functioning of any system of mathematical methods, including the engine, should be carried out formalization of the process, ie. a mathematical model. By mathematical modeling we mean the process of establishing compliance with this real object of a mathematical object (mathematical model), and the study of the mathematical model, which allows to obtain characteristics of this real object. A type of a mathematical model depends both on the nature of the real object and tasks of the research and the required reliability and accuracy of the solution of this problem. Any mathematical model, like any other, describes the real object only with a certain degree of approximation to reality. This paper presents a method for calculating interim solution in n-dimensional problem with boundary conditions, contributing to the acceleration of the convergence process of a finite difference method. In the practical implementation of this method the number of iterations to achieve a given residual was reduced to 10 - 100 times, due to the search of the intermediate solutions. Thus, this method can be used to significantly improve the efficiency of a finite difference method.

Keywords: numerical methods, finite elements, finite differences, FEM, MKP, differential equations, mathematical model, stability, n-dimensional problem, mathematical modeling

References:
Grishentsev A. Yu., Korobeynikov A. G. Razrabotka modeli resheniya obratnoy zadachi vertikal'nogo zondirovaniya ionosfery// Nauchno-tekhnicheskiy vest nik SPb GU ITMO-SPb: SPbGU ITMO, 2011, 2(72)-s.109-113.
Demidovich B. P., Maron I. A., Shuvalova E. Z. Chislennye metody analiza. Priblizhenie funktsiy, differentsial'nye i integral'nye uravneniya. – SPb.: Lan', 2010. – 400 s.
Bakhvalov N.S., Voevodin V.V. Sovremennye problemy vy-chislitel'noy matematiki i matematicheskogo modelirovaniya: v 2 t., T. 1. / In-t vychislitel'noy matematiki. – M.: Nauka, 2005, 343 s.
Formalev V. F., Reveznikov D. L. Chislennye metody. – M.: Fizmatlit, 2004. – 400 s.
Korobeynikov A. G., Kudrin P. A., Sidorkina I. G. Algoritm raspoznavaniya trekhmernykh izobrazheniy s vysokoy detalizatsiey. Vestnik Mariyskogo gosudarstvennogo tekhnicheskogo universiteta. Seriya: Radiotekhnicheskie i infokommunikatsionnye sistemy, 2010 ¹2, s. 91-98.
Samarskiy A.A., Gulin A.V. Chislennye metody: Ucheb. Posobie dlya vuzov.–M.: Nauka. Gl. red. fiz.–mat. lit., 1989. – 432s.