The 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
In 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
The 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
In 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
Inexpediency 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
Linear 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
The article describes a software interface with the universal cognitive analytical system "Eidos-X++" ensuring the transformation of character, in particular – the numerical series in a form that is directly perceived by this system. As a result, the system can contain 3 statistical and 7 intellectual models of the series, which highlights the relationship between the characters or numbers in these lines. To reflect the relationships between the characters we used the same private and integral data of the automated system of cognitive analysis (ASC-analysis), and in the reflection of reasons-and-effect relationships between events in the real area that has not previously been used in the theory of numbers. The article provides a detailed numerical examples of such studies on the example of the identification of relationships between numbers that represent the decimal digits of the PI number, in the example we use one million digits of the PI number after the decimal point
In the article, the concentration rows of monocrystal strontium and led tungstates doped with neodymium are treated. Judd-Ofelt intensity parameters are calculated
The results of the research of stability of the model of neutrophilomonocytegenesis are shown in the article. With the criterion of Routh-Hurwitz it's calculated that the system of the differential equations of cells growing is asymptotically steady. Threshold values of parameters of model at which the system becomes unstable are defined
In this article we have investigated the solutions of Maxwell's equations, Navier-Stokes equations and the Schrödinger associated with the solutions of Einstein's equations for empty space. It is shown that in some cases the geometric instability leading to turbulence on the mechanism of alternating viscosity, which offered by N.N. Yanenko. The mechanism of generation of matter from dark energy due to the geometric turbulence in the Big Bang has been discussed