The article discusses the expansion of artificial intelli-gence "Aidos-Astra" for applications with the empirical data of high dimensionality. Application, written in the language JAVA, allows you to prepare and visualize the information content of the matrix without re-strictions imposed by the architecture of the system "Aidos-Astra "
Researches of metric characteristics on prefractal graphs
are known tasks. Such tasks arise when determining
estimates of length, of depth, of width of the graph. Also
these questions arise when determining results of
optimization of these tasks of the prefractal graphs.
Properties of metric characteristics depend on a
trajectory of generation of the prefractal graph and on
the characteristic of primings. In this work, metric
characteristics on prefractal weighed graphs are
investigated, dependence of metric characteristics on a
trajectory of a priming and prefractal graphs is revealed.
Estimates are obtained for the diameter and radius of the
weighted prefractal and fractal graphss
The 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
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 the training courses on the theory of probability and
mathematical statistics there are various parametric
families of distributions of numerical random variables
considered. Namely, we have been studying the
families of normal distributions, log-normal
distributions, exponential distributions, gamma
distributions, Weibull-Gnedenko distributions, etc. All
of them depend on one, two or three parameters.
Therefore, for a complete description of the distribution
it is sufficient to know or estimate one, two or three
numbers. Parametric theory of mathematical statistics is
widely developed, where it is assumed that the
distribution of observations belong to one or another
parametric family of distributions. This tradition comes
from Karl Pearson, who in the early twentieth century
proposed the use of four parametric family of
distributions. The above families of distributions - are
the subsets of a four-parametric family of Pearson.
Unfortunately, parametric families exist only in the
minds of the authors of textbooks on probability theory
and mathematical statistics. In real life, they are not.
Therefore, modern applied statistics and econometrics
mainly use non-parametric methods, in which the
distribution of observations can have arbitrary form.
First, on an example of a normal distribution, we are
discussing the impossibility of practical use of
parametric families of distributions to describe specific
statistical data. We give the results of research of
metrologists and estimation of convergence in limit
theorems. Then we discuss how the parametric methods
can use for reject outlying observations. It is very
unstable the significance levels for a fixed rejection rule
and the parameter of the rejection rules for a fixed level
of significance. Consequently, the rejection of the
classic rules of mathematical statistics is not sciencebased
The article discusses the dynamic model of the rocket
motor electromagnetic type, consisting of a source of
electromagnetic waves of radio frequency band and a
conical cavity in which electromagnetic waves are
excited. The processes of excitation of
electromagnetic oscillations in a cavity with
conducting walls, as well as the waves of the YangMills
field have been investigated. Multi-dimensional
transient numerical model describing the processes of
establishment of electromagnetic oscillations in a
cavity with the conducting wall was created
Separately, the case of standing waves in the cavity
with conducting walls been tested. It is shown that the
oscillation mode in the conducting resonator different
from that in an ideal resonator, both in the steady and
unsteady processes. The mechanism of formation of
traction for the changes in the space-time metric, the
contribution of particle currents, the Yang-Mills and
electromagnetic field proposed. It is shown that the
effect of the Yang-Mills field calls change the
dielectric properties of vacuum, which leads to a
change in capacitance of the resonator. Developed a
dynamic model, which enables optimal traction on a
significant number of parameters. It was found that
the thrust increases in the Yang-Mills field
parameters near the main resonance frequency. In the
presence of thermal fluctuations and the Yang-Mills
field as well the traction force changes sign,
indicating the presence of various oscillation modes
In this paper we consider a system of Dirac equations describing the dynamics of quarks in hadrons metric. The magnetic moment and the energy of the nucleons in the case of deuterium nuclei calculated.
The dynamics of quarks in hadrons metric is investigated.
A model of baryons in the case of a stationary metric formulated. The magnetic moments of the proton, neutron
and lambda baryon calculated. The metric of hadrons is
determined from the Yang-Mills theory. The result is a
bubble metric containing only the time and angular coordinates. We find that there may be a spherical particle, which expand in sync with the space of the universe. Therefore, they appear to the outside observer static entities having spherical symmetry, such as protons. We have shown that the quarks in the hadrons metric can be described on the basis of the Dirac equation and the equations of quantum electrodynamics. The closure model formulated and the magnetic moments of hadrons (uud), (udd) and (sdu) at given energy and given electric charge are calculated. The investigated region corresponds to the resonance energy of the quarks system, in which, apparently, pi mesons can be generated.
In this study we investigate the dynamics of relativistic
particles in the axially symmetric metrics. We have built
metric having axial symmetry and contains two centers
of gravity and a logarithmic singularity. The application
received metrics to the movement of particles in galaxies
is described. It is established that there are stable orbit in
the metric with two centers of gravity, the particle
velocity at which reaches the value v/ c ≈ 7.0 . Orbit
radius varies widely, but remains substantially flat orbit.
Unstable same movements are completed so that the
particles leave the system. The hypothesis that this kind
of relativistic objects can serve as sources of the
magnetic fields of the planets, stars and galaxies has
been proposed. The question of the realization in the
galaxy metric of Einstein's hypothetical elevator in
which there is a uniform gravitational field, simulating
the accelerated movement of the elevator is described. A
homogeneous gravitational field in a limited region of
space was numerical simulated. It has been shown that
this kind of accelerated objects generate relativistic
effect in the form of a log potential, not diminishing with
distance from the center of the system. It is assumed that
such capabilities can be associated with the Higgs field
responsible for the occurrence of the inertial mass of the
elementary particles
In this work, we examine the dynamics of relativistic
particles in the ring or spiral galaxy metric in general
relativity. On the basis of the solution of Einstein's
equations we have derived metric having axial
symmetry, comprising N centers of gravity and a
logarithmic singularity. The application received metrics
to describe the motion of particles in a spiral and ring
galaxy. On the basis of Einstein's equations solutions for
vacuum we are explained rotation of matter in spiral
galaxies. An expression for gravitation potential in the
inner region of spiral galaxies in agreement with
experimental data on the rotation of the CO and
hydrogen is described. It is established that in the metric
with N centers of gravity which are distributed on the
circumference, exist as a local motion near the center of
gravity, and motion around N gravity center as well. The
transition from one mode of motion to another is
determined by the initial distance to the circle on which
the distributed centers of gravity. A system of non-linear
parabolic equations describing the evolution of the
metric in the Ricci flow proposed. The boundary
problem for the gravitational potentials in the Ricci flow
was formulated. There are applications of the theory to
describe a spiral and ring galaxy