01.00.00 Physical-mathematical sciences
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MATHEMATICAL METHODS OF CLASSIFICATION THEORY
01.00.00 Physical-mathematical sciences
DescriptionThis article gives a review of mathematical methods of construction and using of classifications. The main approaches to solving the problems of cluster analysis and grouping are discussed. We have also proposed global and local natural classification criteria. The methods of discriminant analysis (diagnosis, pattern recognition with the teacher) are discussed in connection with the construction of generalized indicators (ratings)
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01.00.00 Physical-mathematical sciences
DescriptionThe article is devoted to development of effective and adequate mathematical models of an estimation of a financial and economic condition of region and meeting program toolkit with use of multivariate statistical models and fuzzy logic systems
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MATHEMATICAL MODELS OF MEDICALECONOMIC CONTROL OF DRUGS PRESCRIPTION
01.00.00 Physical-mathematical sciences
DescriptionThe federal program on essential drugs provision (EDP) is one of the most significant and socially important state projects; it is directed to the reduction of morbidity and mortality together with the improvement of life quality of the society and its social climate. In accordance with the federal law “On social state assistance” from 17.07.1999 №178- FL, the essence of the program is that medical recipes are dispensed for preferential medicines to be received by federal program participants. The medical-economic control (MEC) of the drugs designation and provision of federal benefit recipients is performed basing on the automated registries examination of released drugs. The number of passed and failed examination recipes is determined according to the registers processing results. A certain percentage of the accepted for payment prescriptions is a subject for MEC. For the purpose of the recipes selection for testing, the paper proposes the mathematical models of criteria application and MEC-planning. The game model of organization and MEC performance in health care organizations is build basing on the theory of games. The considered play model suggests that the health services quality examination need to be adjusted and some strategies are to be improved. The solution on the planning of checked recipes number allows to perform the inspection of all the health care organizations, involved in EDP program
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MATHEMATICAL FORMS OF CONSECUTIVE AND PARALLEL ECONOMIC RISKS
01.00.00 Physical-mathematical sciences
DescriptionIt is offered to expand the classification of risks by introducing a global risk of economic system, which separates stages burdened with the local risks having arbitrarily direction. Serial or parallel origin of these risks is modeled dyadic chain vectors or four-dimensional conglomerates of quaternions in Clifford spaces. Multivariate risk is to transform analytically, calculate quantitatively, construct geometric vector operations in the ensemble with the economic variables on which part of the cost of the risk and that is lost or after symptoms appear. Therefore, the cost of an asset depends on a comprehensive cost of the "basis", burdened risk ("common value"), and the magnitude of the risk of leaving part - "risky value" - from zero. Now, the risk emerges as a new economic and mathematical category. Through the study of risks and through research of their new multi-dimensional performance value it is possible to insight into understanding the mechanisms of action of the economic laws worldwide and in Russia
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01.00.00 Physical-mathematical sciences
DescriptionThe main point of the complementary method of the analysis of motor transport functioning under transition to outsourcing technology consist in elaboratoin of complex of models including the model of driver’s work analysis. This work is dedicated to complex decision of this actual problem
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01.00.00 Physical-mathematical sciences
DescriptionThis article continues the works [1,2], devoted to the theoretical study of the basic laws of electroconvection caused by natural or artificial inhomogeneous conductivity of ion-exchange membranes in a smooth rectangular channel electrodialysis desalination unit. For this purpose, a mathematical model was created for a binary electrolyte electroconvection at overlimiting current modes in the form of a boundary value problem for a coupled system of the Nernst-Planck-Poisson and Navier-Stokes equations. We have studied the influence of heterogeneity on the ion-exchange membranes and ion transport electroconvection salt, calculated currentvoltage characteristic. The possibility of intensification of mass transfer due to the surface modification of ion exchange membranes was also shown
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MATHEMATICAL MODELING OF FINANCIAL PYRAMID SCHEME. PART 1. DEFINITIONS
01.00.00 Physical-mathematical sciences
DescriptionThe article analyzes the various approaches to the mathematical modeling of financial pyramids. It considered “economically rational subject”, game approach and the approach of Dubovsky. In this article, the mathematical models of the unproblematic approaches examined; we also analyzed their characteristics, including the dependence of the lifetime of the pyramid of accrued interest and the number of clients, the maximum possible profit of the founders of the pyramid, etc. This work analyzes the various options of the campaign, including whether the implicit advertising company, which arises from the spread of the financial company clients and rumors about their income
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MATHEMATICAL MODELING OF FINANCIAL PYRAMID SCHEME. PART 2. DISCRETE MODELS
01.00.00 Physical-mathematical sciences
DescriptionThis article analyzes the changes in the number of cases of various clients of the pyramid and the establishment of the basic rules of the pyramid schemes based on discrete models. The article is also a continuation of previous work [1], which had formulas to simulate the amount collected by the pyramid scheme
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MATHEMATICAL MODELING OF FINANCIAL PYRAMID SCHEME. PART 2. CONTINUOUS MODELS
01.00.00 Physical-mathematical sciences
DescriptionThis article is devoted to the analysis of different cases of changing the number of customers of the financial pyramid and the establishment of the basic rules of the pyramid schemes on the basis of continuous models, and it is a continuation of works [1, 2], which had formulas to simulate the amount collected by the pyramid scheme and it considers the discrete models
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01.00.00 Physical-mathematical sciences
DescriptionThis article investigates hydrodynamic of experimental electrochemical cell with rotating disk in the cation exchange membrane. We have also investigated the flow in open, with the free surface of the solution and in hermetically closed cells. The main regularities of the hydrodynamics of the experimental cell at its real size were set