№ 100(6), June, 2014
Public date: 30.06.2014
Archive of journal: Articles count 116, 271 kb
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01.00.00 Physical-mathematical sciences
A NEW APPROACH TO THE STUDY OF THE STABILITY OF CONCLUSIONS IN THE MATHEMATICAL MODELS
01.00.00 Physical-mathematical sciences
Description
We have proposed the general scheme for studying the stability of the conclusions obtained by mathematical methods and models regarding tolerance deviations of the original data and background models. The concrete problems of stability are discussed: towards a change of data, its size and distributions, to allowable transformations measurement scales, to the temporal characteristics (time of start of the project, the planning horizon). Reducing the uncertainty can be conducted by changing the type of data, i.e. with the aid of the transition to non-numerical data. The models of concrete management processes of industrial organizations are considered on the examples of stability characteristics of investment projects to change the discount factors and in models of inventory management to change in the coefficients of the model and batch size production
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PROBABILISTIC-STATISTICAL METHODS IN GNEDENKO’S RESEARCHES
01.00.00 Physical-mathematical sciences
Description
We analyze the probabilistic-statistical methods in the researches of Boris Vladimirovich Gnedenko – the academician of Ukrainian Academy of Science, which are very important for the XXI century. We have also discussed the limit theorems of probability theory, mathematical statistics, reliability theory, statistical methods of quality control and queuing theory. We give some information about the main stages of scientific career of B.V. Gnedenko, his views on the history of mathematics and teaching
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01.00.00 Physical-mathematical sciences
Description
The work presents the calculation on the basis of magnetic circuits of magnetic field induction in the "water" gaps of the device for activation of water with alternating magnetic field of industrial frequency. We have executed the calculations of magnetic inductance of the coil of the device taking into account the thickness of layers of winding current-carrying wires. This allowed experimentally determining - with reasonable accuracy - the value of the relative permeability of the steel used, housing, necessary for the specified calculation of the device in general
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LIMIT THEORY OF NONPARAMETRIC STATISTICS
01.00.00 Physical-mathematical sciences
Description
We have studied the asymptotic behavior of a broad class of nonparametric statistics, which includes statistics of omega-square type and Kolmogorov-Smirnov type. Limit theorems have been proved. We have also developed the method of approximation with step functions. With the help of this method we have obtained a number of necessary and sufficient conditions
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01.00.00 Physical-mathematical sciences
Description
The drawbacks of the existing ontology languages and problems of their practical application are discussed in this paper. The requirements for the process of ontologies creating are laid down. A simplified method of constructing the ontological domain model on the basis of the original language SXML is proposed
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MECHANISM OF FORMATION AND PROPAGATION OF WAVES IN THE ELECTROMAGNETIC ENVIRONMENT
01.00.00 Physical-mathematical sciences
Description
We discuss the question of the essence of formation and propagation of waves in the electromagnetic environment. We have questioned the reliability of its description by J. Maxwell in the form of alternating electric and magnetic fields. The article justifies the formation of an electromagnetic wave in the form of a wave compression-decompression surrounding electromagnetic photon field flux of photons of different frequencies emitted by different sources or antenna
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THE SPEED OF GRAVITY AND HYPER-FAST TRAVEL IN GENERAL RELATIVITY
01.00.00 Physical-mathematical sciences
Description
The equation of parabolic type, describing the evolution of the gravitational field on the scale of the solar system, galaxy and cluster galaxies is derived from the Einstein equation. Space-time metric compatible with the post-Newtonian approximation and the metric of the expanding universe, and allowing hyper-fast travel in Einstein's theory of gravitation is considered. It is shown that the speed of hyper-fast travel depends on the implementation, including the parameters of ground state of the expanding universe. A criterion for the maximum speed of motion of material bodies has been proposed
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GEOMETRIC TURBULENCE AND QUANTUM THEORY
01.00.00 Physical-mathematical sciences
Description
The parabolic equation describing the evolution of the gravitational field is derived from Einstein equation. The instability of metric leads to a geometric pattern of turbulence. Microscopic turbulent pulsations generate two kinds of matter with positive and negative energy density, respectively. It is shown that in the case of negative energy density parabolic equation leads to an equation of Schrödinger type
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PLANT GROWTH REGULATORS IN THE SERIES OF NICOTINIC ACID DERIVATIVES
Description
The article shows the information of the use of 2-R-sulfanyl nicotinates of potassium on rice crops. We have found that the compounds described increase yield and improve its quality
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THE IMPACT OF DIFFERENT SUBSTRATS ON RIZOPLANE MICROFLORA OF PELARGONIUM ZONALE IN PROTECTED GROUND
Description
The article studies the impact of different substrats on rizoplane microflora of pelargonium zonale in protected ground
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