Numerical-analytical solution of the problem of multicomponent mixture fractionation under action an electric field is constructed. This problem is known as the problem of zonal electrophoresis which extensively used in chemistry, medicine, and biology. Problem is reduced to study of the Cauchy problem for systems of hyperbolic type quasilinear equations in partial derivatives of first order. The proposed method is based on a generalized hodograph method, which allows obtaining an analytical solution of the problem in implicit form. Explicit form of the solution is recovered using the transformation of the Cauchy problem for system of quasilinear hyperbolic equations to the Cauchy problem for a system of ordinary differential equations that are solved numerically.

Keywords: electrophoresis, hyperbolic conservation laws, generalized hodograph method

This article presents the results of psychosemantic modeling emotional perception a political order among students of Grozny in 2015. The study involved 107 people, of which 70% - 30% of men and women. The basis of modeling - the technology of semantic differential Charles Osgood. The comparative analysis of average semantic portraits was carried out. Calculated levels of emotional perception of the political order in the linear approximation. It is received, perception of a political order in the Republic - 0,722, across Russia as a whole - 0,402. Further, in a nonlinear approximation in the theory of catastrophes were found adjusted data: in the Republic of - 0.770, Russia - 0.512. It is shown, the perception political a lock is in a stable positive level and found dynamics of increase in the emotional relation compared to previous studies.

Keywords: political order, semantic differential, factor analysis, the emotional component, questioning, catastrophe theory, the theory of an ideal point

The relationship between the affective and cognitive components of attitudes in relation to a surrounding cultural landscape is investigated on a concrete example. The functions of distribution of perception level for cultural infrastructure are calculated on the basis of the experimental results obtained in May-June, 2015 by questioning among students of DonSTU. The emotional component was determined by technology of semantic differential. The primary data were processed in the nonlinear model developed within the catastrophe theory. The cognitive component was found by a technique of direct poll with the subsequent factorization by a classical method and allocation of key parameter. The difference in affective and cognitive perception of cultural infrastructure is discovered. At the group level the number of respondents which declared positive and strongly positive cognitive assessment are 10% more than for emotional one. With neutral perception, on the contrary, is 7% more on an affective indicator. In general on group the cognitive assessment is overestimated, the average level of emotional perception of infrastructure is 0,14 and cognitive is 0,27 (on a scale from -1 to +1). At the individual level these indicators among themselves practically don't correlate (Pearson's coefficient is 0,2).The received results say that the standard technique of direct poll at research of a cultural landscape is limited and it should be supplemented with the analysis of emotional perception. Such analysis for the considered audience is provided in work.

Keywords: cultural attitudes, affective component, cognitive component, questioning, semantic differential, nonlinear model, theory of accidents, function of distribution, perception assessment

The process of electronic on-Board documentation composition is discussed. Mathematic description of the process of electronic on-Board documentation composition is introduced. Main tasks of electronic on-Board documentation composition is formed. The way of solution of these tasks is suggested. The objective of the research project is formed and relevancy of this research is noted.

Keywords: electronic on-Board documentation, tasks of electronic on-Board instructions composition, virtual simulators, operation plan, information field of documents, ontologies, mathematical models

In complex technical systems, such as, for example, gas supply companies engaged in the use, processing and transportation of gas, improving the quality of functioning is largely due to the fact how effectively be able to use resources management when abnormal and emergency situations. Implement management quick and timely action controller and related services to a large extent depend on the quality of information available on the state of the system, keeping in mind those of its features that can adequately classify and identify the situation adequately assess the state of the system and choose the most optimal conditions prevailing in framework for action. The modern development of information technologies and means of automation and computerization can solve the problems associated with providing efficient and trouble-free operation of a complex technical system, timely response to dangerous situations, control of the consumption of resources, taking into account a comprehensive plan parametric, functional, topological and other characteristics controlled system and its objects in the interaction and relationships, creating static and dynamic images of the object, allowing combined with modeling processes to implement current and forecast assessment of the state of the system with sufficient accuracy and reliability. The paper presents a model of quality assessment of complex technical systems. Evaluation of the status of objects and the system as a whole by means of intermediate scales numerical evaluation as qualitative estimates are associated with their quantitative equivalents, allowing the algorithm to construct a formal transfer. State system objects viewed through the prism of determining compliance parameters of the object of one of the areas of the state, taking into account the possible modes of operation of the system. This data is the variable quality of the order given on the set of equivalence relations items, which leads to the qualitative nature of the assessment.

Keywords: qualitative assessment of the state of the system, object model, rating scale, discriminating sign, algorithm, parameter, variable. criticality, importance, significance

This paper investigates the possibility of applying neural networks to problems of reverse calculation of multi-layered road structure. The paper considers networks with different architecture. To improve the conditions of convergence are applied the back-propagation procedure with automatic selection step, different types of activation functions with varying parameters.

Keywords: neural networks, inverse problems, polutorospalny predictor, the two-layer perceptron, the approximation of the activation function

The paper analyses a method of detecting synsets representing the same concepts. The analyzed method is based on the assumption that two synonyms define a certain meaning (or concept/sense). According to this, if a couple of synsets has at least two common words, these synsets represent identical concepts. It is clear that a concept should not appear in a thesaurus twice. Hence, this method can be used to clean the synsets of lexical resources. However, this criterion of synsets similarity has not yet been studied. The paper describes an experiment in which the data from open Russian thesaurus YARN was used and a survey among Russian native-speakers was conducted. The result of the experiment showed that the precision of the criterion of synsets similarity is 73%.

Keywords: lexical resource, dictionary, Wiki dictionary, crowd sourcing, a thesaurus, a synonym, a number of synonymous, semantic relations, similarity measure, Russian language

This article about mathematical model of determination of quality of ecological state of water properties in Volgograd agglomeration ponds. The model is based on statistical date on the main pollutants in natural waters, with the possibility of forecasting.

Keywords: qualiti, water, surface water, ponds, balance, dependence, factor, criterion, model.

In the article the general analysis identification of the problem for the law of the probability distribution of the observed random process (structural-parametric identification and comparative analysis of modern methods of identification of probability distributions showed, that at the present time to solve this problem is widespread method of normalized range (R/S analysis). Use this method when selecting a parametric model of the probability distribution best fits the experimental results, and minimal assumptions about the process under study and sufficient stability analysis of time series describing the investigated process. Information analysis method normalized range allowed us to propose a modified method for identification of the distribution law of random processes based on the normalized range (R/S analysis), for which the expressions for the elasticity and conditionality.

Keywords: diagnosis of technical systems, the method of normalized amplitude (RS analysis), method of Hirst, information analysis, the conditionality of the problem, the elasticity of the task

The article considers the problem of constructing a fractal model magnetoplasma electrodynamic accelerator. Modeling such a complex system is defined as the process of computing a generalized solution of the Fokker–Planck–Kolmogorov equation, describing real physical processes in hereditary (hereditarity) systems. The obtained Markov model, which determines the navigation system on multifractal sets of States along the trajectory of dispersal in a magnetoplasma electrodynamic accelerator, according to the research, is determined by the fractal dimension and the mathematical apparatus of generalized fractional derivatives of Riemann-Liouville. We have investigated the solutions of this equation, obtained after synthesis for fractional derivatives of Riemann–Liouville. The transition to fractional order derivative in time allows to take into account the temporal and spatial effects of system memory, processes in which processes are classified as "residual" memory, part of which is preserved, and the other part corresponds to irreversible losses.

Keywords: magnetoplasma electrodynamic accelerator (ED), hereditary (hereditarity) model of the system, the equation of the Fokker–Planck–Kolmogorov, fractional derivatives of Riemann–Liouville

The algorithm of "technology box" using satellite technology special self-propelled railway rolling stock in the repair of infrastructure of railway transport. The algorithm includes not only the requirements of traffic safety, but also the specifics of the exchange of operational information on the basis of data received from the onboard equipment GLONASS installed on the mobile-repair technique. Shows the use of satellite technology to the organization and conduct of "technological Windows" in order to monitor the implementation of the terms of a supply special self-propelled rolling stock to the place of work, observance of technological schedule of repair works in real time, decreasing the influence of the human factor in obtaining information on the progress and movement parameters used equipment.

Keywords: the process window, satellite technology, special self-propelled rolling stock, ferrying, the connecting station, the technology works, the algorithm

The study of copper ion (Cu2+) environment in aqueous solution was performed by means of X-ray absorption spectroscopy. X-ray absorption spectra for various concentrations of aqueous solutions of CuCl2 were measured. The testing of near-edge fine structure approach for calculating X-ray absorption Cu K-edge spectra of copper ion (Cu2 +) coordinated complex by finite difference method for solution of Schrödinger equation were held . A model of local environment of copper ion (Cu2 +) in aqueous solutions is proposed.

Keywords: X-ray absorption spectroscopy, 3d-metals ions, aqueous solutions, local environment, finite difference method, coordination complexes

Using a device of close homogeneous exponential queueing networks (QN) a mathematical model of an information system functiouning without considering influence of blockings was worked out. A proccessor and the united resourse "channel - external memory" are considered as shared resources. All the users' requests are assumed to be single and homogeneous and the servicing discipline "First Come First Served" is used for sequence of their execution. Analytic expressions are given for calculation of the integral characteristics of the system: the distribuition law of number of messages in a system, the average number of messages at a node, the average sojourn time of a message at a node, the average sojourn time of a message in a system.

Keywords: data base, blocking, queueing network, servicing discipline for messages, exponential distribution law, conceptual model, state space, the global balance equation, normalizing constant, stationary probability, the distribuition law of number of messages

The main mission of a cargo spacecraft is a cargo delivery on the ISS. The cargo positioning on the spacecraft board is realized on the Earth according to certain rules. The main limitations of the cargo positioning is the weight limitation, the volume limitation, the mass center limitation and the unloading sequence on the ISS. If the mass center deviation will be greater than a some default value, the replacement of cargo must be performed. It maybe more than one cargo replacement realized that leads to increase of complexity and duration of the spacecraft prepare procedure. So, the problem of aprioristic finding the cargo optimal placement on a cargo spacecraft board arises. The solution of this problem will make it possible to give some advice on the optimal cargo placement to the staff performing the spacecraft prepare procedure.

Keywords: cargo spacecraft, cargo placement, weight, volume, mass center, unloading sequence, optimal placement

In this paper we attempt to quantitatively describe the process of diffusion of Nickel atoms to the copper substrate, taking into account the accelerated diffusion along the grain boundaries. A model experiment allows us to get guidance on the selection of the optimum thickness of the Nickel coating to ensure stable operation of wire with desired characteristics

Keywords: Nickel coating, the optimum thickness, copper wire, enhanced diffusion, diffusion coefficient, diffusion distribution of atoms, the grain boundary, modeling, task Fisher

The purpose and objectives of this work is to develop methods of iterative methods for solving systems of linear equations. Achieving the goals and objectives achieved by the development of an iterative method using the apparatus q-differentiation. With the software package Matlab Computational experiments, which resulted in the performance of the proposed method is confirmed.

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

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

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

The results of processing of experimental data obtained during the pilot survey, completed in June 2015 among the 3rd year students of DSTU. As a measure of impending conflict was used the level of emotional perception r local and Central political orders. It was normalized from -1 (negative order) to +1 (acceptance of order). The basis of measurements on the method of semantic differential Charles Osgood. Using the theory of ideal points Coombs, levels of perception calculated in the linear approximation and on the previously developed model in the framework of catastrophe theory. Shows the distribution of respondents by levels of emotional perception, calculated by the multi-agent modeling program Any Logic. Obtained that on average the studied audience perceives the local government is neutral (r=0,04). However, 39% of respondents perceive the local order is negative, 53% were positive. To the Central government, on average, the ratio is slightly positive (r=0,13). Negative emotional perception is characterized by 23%, positive – 60%.

Keywords: the emotional perception of the local political order, the Central political order, semantic differential, linear approximation, modeling, catastrophe theory, multi-agent approach, the distribution function, individual level

In this paper, the concept of chromatic set of fuzzy temporal graph is introduced. Chromatic set of fuzzy temporal graph is a generalization of one side of a fuzzy, but on the other hand - temporal graphs. The degree of connectivity vertices changes in discrete time in a fuzzy temporal graph. Most of isomorphic transformations of fuzzy temporal graph change their external representation without changing its signature. In this regard, matters relating to the consideration of temporal invariants of fuzzy graphs. Example of finding chromatic sets of fuzzy temporal graph is considered here.

Keywords: Fuzzy temporal graph, fuzzy partial graph, graph coloring, chromatic set, the degree of separability

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

Keywords: routing, road graph, mobile robot

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

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

In article process of vehicles queue formation before an adjustable intersection is considered. Classical models of delay and queue assume, that all vehicles arriving to intersection take places on a stop line. If in free conditions of movement the given assumption is comprehensible, in the conditions of the saturated movement the account of existential distribution of queue is required. For this purpose the description of queues dynamics is added by variables of queues front position and queues departure front position. Under concept the front of queue is understood position of last car in queue, and as departure front - position of the car beginning movement at travel of queue. Analytical dependences for calculation of values of the specified variables are resulted, both at constant arrival of vehicles, and at any cyclic profile of flow. Conditions of transport links blocking with the account of the entered variables are specified.

Keywords: Delay, length of queue, transport links, blocking, traffic light control, front of queue, front of queues departure

Using a device for close exponential networks of mass service a mathematical model for solving the problem of getting integral indexes of distributed information system on the basis of local computing network using two-level architecture “client-server” was worked out. The peculiarity of the model being worked out is in making a selective choice of information at the server and via the channel of communication not the full data base is transmitted but some separate parts of it, which satisfy the conditions of SQL-request search. Using the developed earlier heuristic algorithm the problem of optimal placing the distributed data base onto the local computing system knots according to the criterion of minimal average time of system reaction for users’ requests was solved. The results of numerical experiments are given.

Keywords: Distributed data base, selective information choice, SLQ-request, transaction, system conditions space, stationary probability, transitive probability, service intensity in network knots, information volume matrix, system reaction time

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

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

Using a device for close exponential networks of mass service a mathematical model for solving the problem of getting integral indexes of distributed information system on the basis of local computing network using file-server architecture was worked out. The heuristic algorithm of optimal placing the distributed data base onto local computing network knots according to the criterion of minimal average time of system reaction for users’ requests is represented. This algorithm uses the understanding of data bases as the points of multidimensional space and the knots in which those data bases are placed as clusters or classes. The results of numerical experiments are given.

Keywords: Distributed information system, distributed data base, local computing system, mass service network, conceptual model, exponential law of distributing the random value, stationary probability, mark process, the global balance equation, system reaction tim