In this article, we consider the task of systematizing the axioms and postulates, directly or indirectly connected with the study of the cycles of varying length and nature, which constitute the absolute of the general theory of cycles
Multilevel bionic algorithm for detection and identification of software and hardware impacts on telecommunication networks is considered in the article. The results of applying of the software implementation of the algorithm are discussed
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
In this article we consider a scalar model of the gluon condensate, in which bubbles are formed - glue balls. It is shown that the mass of the known hadrons as well as nuclei exited states are described with the acceptable accuracy by the integral of the condensate density in terms of the glueball
From a modern point of view we have discussed Kolmogorov’s researches in the axiomatic approach to probability theory, the goodness-of-fit test of the empirical distribution with theoretical, properties of the median estimates as a distribution center, the effect of "swelling" of the correlation coefficient, the theory of averages, the statistical theory of crystallization of metals, the least squares method, the properties of sums of a random number of random variables, statistical control, unbiased estimates, axiomatic conclusion of logarithmic normal distribution in crushing, the methods of detecting differences in the weather-type experiments
The new paradigm of mathematical statistics is based on the transition from parametric to nonparametric statistical methods, the numerical data - to non-numeric, on the intensive use of information technology. Its distinctive features are revealed in comparison with the old paradigm of mathematical statistics in the mid-twentieth century
A model is developed for stress-dependent surface generation and recombination of point defects in silicon. Using the model, such phenomena as stacking fault growth and stress-mediated dopant diffusion in silicon are simulated
In this article, we describe a modification of the design pattern of "Strategy", which informs customers about the different types of algorithms (strategies) without disclosing the features of their implementation, as well as allows you to control compliance with the algorithms and methods. In addition, the architecture of the algorithms and methods that use the above modification is described in details
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
The boundary-value problem for a plane elastic body with external and internal stress concentrators has been analytically solved in this article by means of a singular integral equation. Derivation of this equation and general and particular solutions of the equation are represented