01.00.00 Physical-mathematical sciences
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MECHANISM OF FORMATION AND PROPAGATION OF WAVES IN THE ELECTROMAGNETIC ENVIRONMENT
01.00.00 Physical-mathematical sciences
DescriptionWe 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
DescriptionThe 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
DescriptionThe 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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METHODOLOGY OF CONTROL PROCESSES MODELING IN SOCIO-ECONOMIC SYSTEMS
01.00.00 Physical-mathematical sciences
DescriptionThe article introduces the basic concepts of control theory. It has also noted the multicriteriality of real control problems. After reviewing the basic concepts of the theory of modeling we have analyzed postwar history and current status of mathematical modeling of control processes. We have also discussed the modeling methodology. As an example of a real model of the management process we have considered a model of allocation of time between the acquisition of knowledge and development of skills
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NONPARAMETRIC AND APPLIED STATISTICS IN OUR COUNTRY
01.00.00 Physical-mathematical sciences
DescriptionWe continue the series of articles about the history of statistics. We discuss the development of nonparametric and applied statistics in our country in 1930 - 1980 years. We have presented the studies of the great statisticians of the twentieth century, such as N.V. Smirnov, L.N. Bolshev, V.V. Nalimov. American statistics show Russian debate about applied statistics. We have briefly listed the process of creation of the All-Union Statistical Association (1990) and its further developments
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DISTANCES IN THE SPACES OF STATISTICAL DATA
01.00.00 Physical-mathematical sciences
DescriptionThe core of applied statistics is statistics in spaces of arbitrary nature, based on the use of distances and optimization problems. This article discusses the various distances in spaces of statistical data, in particular, their conclusions on the basis of appropriate systems of axioms. The conditions and proofs of theorems first published in scientific periodicals
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THEORETICAL TOOLS OF STATISTICAL METHODS
01.00.00 Physical-mathematical sciences
DescriptionWe have considered the basic mathematical tools (theorems, methods) which are used regularly in the justification of new results in the field of statistical methods: rules of large numbers, central limit theorems, the necessary and sufficient conditions for the inheritance of convergence, the linearization method, the invariance principle
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01.00.00 Physical-mathematical sciences
DescriptionLusian - dichotomous data model as a finite sequence of independent Bernoulli trials with, generally speaking, different probabilities of success. The tasks of statistical hypothesis testing, classification, averaging lusians are discussed. In accordance with the requirements of practice the problems are considered primarily in the asymptotic behavior of increasing dimension, in which the number of unknown parameters increases in proportion to the size of data. The method of testing hypotheses on set of small samples and the theory of unbiased statistical estimates were proved to be useful
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INTELLECTUAL INFORMATION SYSTEM OF THE OPTIMUM CONTROL OF KNOWLEDGE
01.00.00 Physical-mathematical sciences
DescriptionIn the article the graph model of management of control of knowledge of pupils in indistinct conditions is offered. The model allows to define the optimum quantity and optimum placement of control actions for a studying course for each discipline (each its fragment), and also to carry out an assessment of structure of knowledge
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PROPAGATION OF THE UNSTEADY-STATE LONGITUDIONAL WAVES IN VISCOELASTIC TWO-LAYER SEMI-SPACE
01.00.00 Physical-mathematical sciences
DescriptionIn this work it is investigated the propagation of unsteady-state waves in a vicoelastic semi space for the arbitary heterogeneous functions at the different boarded conditions with the help of Laplas transformation and exponentional Truriers conversion. The received solution has been analyzed in a private case when medium properties are describing by Rzhanitsin’s core