North-Caucasian State Humanitarian Technological Academy
Author list of organization
List of articles written by the authors of the organization
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01.00.00 Physical-mathematical sciences
Description
In the article, the algorithm – a recurrent formula for calculation of determinants of prefractal graphs with the full primers, keeping old edges contiguity in a trajectory was received
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DIAMETER AND RADIUS OF THE WEIGHTED PREFRACTAL GRAPH BY A COMPLETE BIPARTITE SEED
01.00.00 Physical-mathematical sciences
Description
Researches of metric characteristics on prefractal graphs are known tasks. Such tasks arise when determining estimates of length, of depth, of width of the graph. Also these questions arise when determining results of optimization of these tasks of the prefractal graphs. Properties of metric characteristics depend on a trajectory of generation of the prefractal graph and on the characteristic of primings. In this work, metric characteristics on prefractal weighed graphs are investigated, dependence of metric characteristics on a trajectory of a priming and prefractal graphs is revealed. Estimates are obtained for the diameter and radius of the weighted prefractal and fractal graphss
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SIMULATION MODELING OF DISTRIBUTION OF EPIDEMICS ON THE BASIS OF AGENT APPROACH
01.00.00 Physical-mathematical sciences
Description
Today, infectious diseases remain a leading cause of premature deaths in the world. Agent-based modeling can play an important role in predicting the spread of disease and to assess the containment measures. The aim is to construct a multi-agent simulation model for the formation of epidemic measures to reduce effectively their incidence. Using the multi-agent simulation approach to modeling of epidemics due to the fact that the approach allows us to consider a number of factors influencing the epidemic process, makes it possible to carry out numerical experiments. The processes of the spatial distribution and temporal variation of these two groups of epidemics of infectious the author calls dynamics. Usually hard-implemented spatial components of the dynamics in the proposed model can be substituted by predfractal topology of the graph, which is built up by voluminous graphs - primers, and the dynamics of compounding prefractal graph, called its recognition, is responsible for the timing of the process component. Under the term of agent, we consider an elementary study participant. An agent is active; it is in a state that may change under the influence of factors. The properties of the agent are attributed characteristics that form the level of immunity: height, weight, gender, income, marital status, education, geography
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INTERVAL MODEL OF THE LARGE-SCALE CLUSTERING OF THE MATTER IN THE UNIVERSE
01.00.00 Physical-mathematical sciences
Description
The article presents the model of the large-scale clustering of the matter in the universe. The base for mathematical calculations is interval mathematics
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INTERVAL SPANNING TREE PROBLEM ON A TOPOLOGICAL CRITERION
01.00.00 Physical-mathematical sciences
Description
The article presents the problem of spanning trees with topological criteria and interval scales. We have introduced relationship preferences and incomparability to find the complete set of alternatives in the case of interval scales. The base for mathematical calculations is interval mathematics
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TO THE PROBLEM OF LACK OF INFORMATION. SMALL SAMPLES OR "VERY SHORT" TIME SERIES
Description
In present article we consider one of the key problems of short time series in modern scientific prognostification. In scientific papers as a rule the problem of short time series is considered in connection with a problem of small selections. But there are some problems still unsettled what value of selection should be taken as a small one and which time series are short and very short. In spite of the fact that there are exist different opinions on the problem of small selection definition and as a result the definitions of short time series, time series of tax deductions analysis of which is given in the present paper one can qualify as very short ones. The authors are considering tax deductions, the length of which doesn’t exceed twelve meanings. It’s clear that building of the prognostification model on a base of given statistics is impossible. In the present paper the authors offer to carry out analysis of very short time series on the base of graphs and matrixes of similarity. In the base of the method proposed there is a visual method and information base are very short time series of tax deduction and time series of fiscal economic indices, forming taxation base. The given approach should help the officers of tax bodies to fulfill the testing analysis the purpose of which is to select tax-payers for checking up
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A CLASSICAL PROBLEM FOR LOADED HYPERBOLIC-PARABOLIC EQUATION OF SECOND ORDER
01.00.00 Physical-mathematical sciences
Description
The investigated and correct boundary value problem for mixed hyperbolic-parabolic equation of second order in a bounded domain is posed and studied in this work. Boundary conditions are of a classical nature. On line of type changes, which is also the line of the parabolic degeneracy for hyperbolic equations considered in the lower half-plane, a continuous bonding condition for the function itself and the breaking condition for the trace of the derivative is given. The main result is the proof of its unique solvability in the required class of functions. In particular, based on the properties of the operators of fractional integro-differentiation and in view of the ratio of the first boundary value problem for the heat equation, the question of the solvability of the original problem was equivalently reduced to the problem of solvability of the corresponding integral equation of the Voltaire second kind. In the hyperbolic part of the region, the question of solvability of the problem has also been reduced to the problem of solvability of the integral equation Voltaire second kind. The properties of the hypergeometric function of Gauss, as well as classical methods of integral equations were used. Thus it is proved the uniqueness and the existence of classical solution to the initial problem
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MULTICRITERIA PROBLEM DEFINITION OF A SELECTION OF PROJECTS TARGETED PROGRAMS
01.00.00 Physical-mathematical sciences
Description
In the article, we have considered the economic-mathematical model of selection of projects targeted programs on the example of the Russian Federation. The article also defines criteria of their distribution. We have proposed the parallel algorithm with the guaranteed estimates of the allocation of graph
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ESTIMATION OF VIRUSES DISTRIBUTION AREA DIAMETER USING MODELS ON PREFRACTAL GRAPHS
01.00.00 Physical-mathematical sciences
Description
The article investigates the problem of estimation of diameters of prefractal graphs with priming stars and with full priming which contiguity of old edges in a trajectory isn't broken on spectra
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FINANCIAL RISK WARNING AT OIL PRODUCTION COMPANIES
08.00.13 Mathematical and instrumental methods of Economics
Description
This article is devoted to a problem of effective management of a financial and economic condition of companies on the example of the enterprises of oil products supply. We consider questions of support of adoption of management decisions which concern stabilization of a financial condition of the company and as a result of decrease in financial risks. The article also provides a description of the program complex called FESP_ON developed by the authors allowing to carry out the profound complex assessment of a financial and economic condition of Societies of oil products supply
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