In this article, the properties of prefractal graphs generated
by a seed representing a tree are investigated. To
determine the phenomenon of the object under
investigation with a fractal structure, we present a concept
which is the degree of fractalization. The degree of
fractalization will allow us to evaluate the structure
relative to its belonging to the prefractal graphs
In the article on the basis of numbers of the specific form, where the parameter elements, which form a semigroup under multiplication we have presented a method for determination and distribution of composite numbers and the prime numbers, and accurate calculation of the values of pi in the interval from 1 to N. We present a new algorithm for the distribution of primes. We have reached the law of distribution parameters of composite numbers and prime numbers (Distribution of the parameters of composite numbers and prime numbers (DCPN)). We have given a formula for of finding prime numbers by serial number in the set DCPN. Due to the law of distribution of parameters of composite numbers and prime numbers it becomes apparent disintegration set of prime numbers. We have also introduced a proposal that each element of the plurality of composite numbers can be represented by one of the specific types of works. The proof of Proposition 2 allows us to give one of the most effective ways of recognizing primes. The description of the algorithm for numbers of twins and proof of their infinity. All algorithms presented in the article is a listing of programs in Software Module ACCESS
In this article authors propose the asymptotic solution of the boundary value problem modeling the transport of salt ions in the cell electrodialysis desalination unit. The domain of the camera desalting broken into two subdomains: electroneutrality and space charge. Subdomains has own asymptotic expansion.
The subdomain of the space charge has unique solvability of the current approach used by the solvability condition of the next approximation
In this article, we have proposed a forecast of labor
resources by sectors of the labor market of the Russian
Federation until 2018 inclusive. The probabilistic
parameters of the dynamics of labor resources were
calculated using the considered model (articles [1-4]).
Further, these probabilities were used to estimate and
parameterize the trends of employed and unemployed
(with a known last place of employment) specialists in
each industry. For each sector of the Russian economy,
the type of trend that best approximates the long-term
(more than three years) dynamics of labor resources in
this sector was selected. It is shown that the forecast
error for 1 year is less than 1% using the selected trend
models. Further, identified long-term trends were used
in forecasting. Based on the results of the forecast of
the number of people employed in the sectors of the
Russian economy, the sectors were divided into two
groups. The first group contains sectors with a
significant change in the number of employed in. The
second group contains sectors, changes in employed in
which were insignificant. At the end of the article, an
example of an analysis of two sectors from the first
group is given. Causes of changes in the dynamics of
labor resources in the researched sectors of the
economy were identified. Ones of the main sectors of
the economy were considered in this example:
"Manufacturing industries" and "Financial activities,
real estate transactions, leasing and provision of
services"
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
The article investigates the problem of estimation of diameters of prefractal graphs with priming stars and with full priming which contiguity of old edges in a trajectory isn't broken on spectra
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
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
Lusian - 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
For a field task, we have shown the analytical solution of the control example by means of which the condi-tions of the correct application of a method of second-ary sources of a field. The numerical decision in the form of Fourier series of the same task, but with use of the method of secondary sources is found. The method of the registration of heterogeneity of the environment which enters secondary sources the way that bring together analytical and numerical solutions is offered