01.00.00 Physical-mathematical sciences
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MODELOF CELESTIAL BODIES IMPACT ON THE EARTH POLARMOTION
01.00.00 Physical-mathematical sciences
DescriptionPerturbed motion of a pole of the Earth caused by gravitational action of celestial bodies is explored in the article
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DEVELOPMENT OF A METHOD FOR DIVIDING CARBON ISOTOPES WITH MAGNETIC AND NON-MAGNETIC NUCLEI
01.00.00 Physical-mathematical sciences
DescriptionThe dynamics of the state of spin of the radical oxygen-carbon pair are observed. By way of mathematical modeling, optimal conditions for conducting experiments to obtain the maximum meaningful coefficient of division of carbon isotopes was established
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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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STRUCTURE AND PROPERTIES OF WATER ACTIVATED BY A MICROWAVE RADIATION
01.00.00 Physical-mathematical sciences
DescriptionThe scientific publications review about the physicochemical properties of pure water and water solutions activated by a microwave radiation was made. The convincing evidences of the water structure changes in the microwave were submitted
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PREFRACTAL TREES GENERATED BY SEEDS SET STRUCTURAL RECOGNITION
01.00.00 Physical-mathematical sciences
DescriptionIn paper the class of prefractal the trees generated by set of seeds-stars with alternation is defined. The algo-rithm of this class prefractal graphs recognition is proved. It is proved also polynomial character of the offered recognition algorithm
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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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01.00.00 Physical-mathematical sciences
DescriptionIn 1893, the French mathematician J. Adamar raised the question: given a matrix of fixed order with coefficients not exceeding modulo this value, then what is the maximum modulo value can take the determinant of this matrix? Adamar fully decided this question in the case when the coefficients of the matrix are complex numbers and put forward the corresponding hypothesis in the case when the matrix coefficients are real numbers modulo equal to one. Such matrices satisfying the Hadamard conjecture were called Hadamard matrices, their order is four and it is unknown whether this condition is sufficient for their existence. The article examines a natural generalization of the Hadamard matrices over the field of real numbers, they are there for any order. This paper proposes an algorithm for the construction of generalized Hadamard matrices, and it is illustrated by numerical examples. Also introduces the concept of constants for the natural numbers are computed values of this constant for some natural numbers and shown some applications of Hadamard constants for estimates on the top and bottom of the module of the determinant of this order with arbitrary real coefficients, and these estimates are in some cases better than the known estimates of Hadamard. The results of the article are associated with the results of the con on the value of determinants of matrices with real coefficients, not exceeding modulo units
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BASIC IDEAS OF INTERVAL DATA STATISTICS
01.00.00 Physical-mathematical sciences
DescriptionIn the article we have considered the basic idea of asymptotic mathematical statistics of interval data, in which the elements of a sample are not the numbers, but the intervals. Algorithms and conclusions of interval data statistics fundamentally different from the classical ones. The results related to the basic concepts of notna and rational sample sizes are listed. Interval data statistics as an integral part of the system of fuzzy interval mathematics is shown
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ISOTOPIC REDISTRIBUTION IN PRODUCTS OF PLASMA PROCESSES FOR HIGH FREQUENCY DISCHARGES
01.00.00 Physical-mathematical sciences
DescriptionResearches in plasma methods for isotopes separation and analyze of the results were done. Results show high values of separation coefficient for intermediate products during the last years. It is shown by us, that these factors will be considerably reduced in the subsequent plasma processes and a way of freezing of high value of factor of division of isotopes
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THE ANALISIS OF SAINT-VENANT EQUATION SYSYEM ANALYTICAL AND NUMERICAL METHODS
01.00.00 Physical-mathematical sciences
DescriptionDiffusion-convection equation that has been received from Saint-Venant differential equation system describing nonstationary fluid motion in a river canal is investigated. Analytical method is considered for the solution of equation with the fixed factors and finite-difference method is considered for the solution of equation system with the float factors. The results of test calculations executed for a reaches of the river Kuban are presented