01.00.00 Physical-mathematical sciences
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THE BOUNDARY VALUE PROBLEM FOR MIXED EQUATION WITH PERPENDICULAR LINES OF TYPE ALTERATION
01.00.00 Physical-mathematical sciences
DescriptionThe non-local boundary value problem for the second order mixed parabolo-hyperbolic equation with the non-smooth conditions of conjugation has been examined. The uniqueness and the existence of the solution for this problem have been proved
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01.00.00 Physical-mathematical sciences
DescriptionTheorems of the value distribution of the sums of Abelian Group’s characters and short exponentail triginimetric sums are proved in this article. Asymptotic formulas of these sums’ fractional moments are proved
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TO THE QUESTION OF ELECTROMAGNETIC WAVES RADIATION
01.00.00 Physical-mathematical sciences
DescriptionThe article discusses the question of the essence of radiation of electromagnetic waves of different sources and questioned the reliability of its description by J.Maxwell in the form of alternating electric and magnetic fields. It justifies the formation of an electromagnetic wave in the form of a wave of compression-decompression in surrounding electromagnetic photon field with a flux of photons of different frequencies emitted by different sources or antenna
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STATISTICAL ESTIMATION FOR THE GROUPED DATA
01.00.00 Physical-mathematical sciences
DescriptionThe probabilistic model of grouping data (including multidimensional data) is described. We have also generalized Euler-Maclaurin’s formulas. With its help Sheppard’s corrections and corrections on grouping for correlation coefficient are received. We have found and studied asymptotical corrections on grouping data generally. Accuracy of approach has been estimated
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ANALYSIS OF APPLICATION CONDITIONS OF KOLMOGOROV’ PROBABILITY THEORY
01.00.00 Physical-mathematical sciences
DescriptionThe article analyses well-known approaches to the explanations of Kolmogorov's conditions for probabilities studied in applications. It discusses better-founded explanations, offers and looks into new approaches to the explanations of connectedness of the conditions
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THE INTERACTION OF LIGHT AND PARTICLES WITH GRAVITATIONAL WAVES
01.00.00 Physical-mathematical sciences
DescriptionIn this article we consider a model of the structure of matter, in which elementary particles, atoms and molecules are composed of gravitational waves. A model of interaction of light and particle beams with macroscopic gravitational waves has been proposed. The protocols of experiments to test the theory are considered
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ORBIT ABNORMAL MOVEMENT IN GENERAL RELATIVITY
01.00.00 Physical-mathematical sciences
DescriptionThe solution of the problem of the displacement of the perihelion of Mercury in Einstein's theory of gravitation, taking into account the mechanism of formation of matter from dark energy, has been obtained. It is shown that the observed value of the precession imposes a restriction on the equation of state of dark energy in the case of static fields
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REPRESENTATION OF THE SOLUTIONS OF THE NAVIER-STOKES IN GENERAL RELATIVITY
01.00.00 Physical-mathematical sciences
DescriptionIn this paper, we investigated solutions of the Navier-Stokes equations associated with the solutions of Einstein's equations for empty space. There exists a metric in which the Navier-Stokes equations are integrated exactly. We demonstrate that the solution of the Navier-Stokes equations of general form consistent metrics describing in general relativity space with nonzero curvature
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PREDICTIVE POWER – THE BEST INDICATOR OF THE QUALITY OF THE DIAGNOSTIC ALGORITHM
01.00.00 Physical-mathematical sciences
DescriptionInexpediency of use of probability of correct diagnostics as a quality indicator of diagnostic algorithm is shown. The new indicator - the prognostic strength based on Mahalanobis distance between classes is offered and studied. We have found asymptotic distribution of the prognostic strength; the way of testing of adequacy of its application has been specified. In a problem of testing of two simple hypotheses the prognostic strength connection is established with Hellinger distance
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ESTIMATES OF PROBABILITY DENSITY FUNCTION IN SPACES OF ARBITRARY NATURE
01.00.00 Physical-mathematical sciences
DescriptionLinear estimators of the probability of density in the spaces of an arbitrary nature and particular cases – nuclear, histogram, the Fix-Hodges type estimates are introduced. Consistency and asymptotic normality of linear estimates are proved under natural conditions. It is shown that the probability of the area can be found by linear density estimates. A special case of a finite set are discussed, it was found that sample mode converges to the theoretical one