The article deals with the problem of changing the
polarity of the geomagnetic field in the satellite model.
It is assumed that the central core of the earth
magnetized and surrounded by a number of satellites,
each of which has a magnetic moment. Satellites
interact with a central core and one another by means
of gravity and through a magnetic field. It is shown
that satellites distributed in orbit around a central core
in such a system. It displays two models, one of which
on the outer orbit satellites interact with each other and
with a central body - the core and satellites, located on
the inner orbit. The central body can make sudden
upheavals in the fall at the core of one or more
satellites, which leads to the excitation of vibrations in
the satellite system, located on the outer orbit. It is
shown that the duration of phase with constant polarity
and upheaval time depends on the magnitude of the
disturbance torque and core asymmetry. The second
model contains two magnets subsystems and the
central core. The rapid change of the geomagnetic field
polarity detected on the basis of paleomagnetic data is
modeled based on the Euler theory describing the rigid
body rotation. In this model, there are modes with a
quick flip of the body while maintaining the angular
momentum. If the body has a magnetic moment, when
there is a change coup magnetic field polarity. This
leads to the excitation of vibrations in the satellite subsystems
that are on the inner and outer orbits.
Numerical simulation of the dynamics of the system
consisting of the core and 10-13 satellites was run to
determine the period of constant polarity magnetic
field
The paper deals with the problem of changing the
polarity of the geomagnetic field as a problem of a
unified field theory and supergravity in the 112D.
Investigated centrally symmetric metric depends on
the radial coordinate in the observable physical space
of one of the worlds. The equation that relates the
magnetic field of the planet with a gravitational field in
5D has been derived. The problem of changing the
polarity of the magnetic field of the Earth discussed.
The rapid change of the geomagnetic field polarity
detected on the basis of paleomagnetic data is modeled
as a movement on a hypersphere in the 112D, which
corresponds to 110 corners. The simplest example of
such a movement in the case of the three angles is the
Euler model that describes the rigid body rotation. In
this model, there are modes with a quick flip of the
body while conservation of the angular momentum. If
the body has a magnetic moment, when such a change
occurs flip of the magnetic field. It is assumed that the
central core of the earth is magnetized and surrounded
by a number of satellites, each of which has a magnetic
moment. Satellites interact with a central core and one
another by means of gravity and through a magnetic
field. The central core may sudden flip, as in the Euler
model. It is shown that the duration of phase with
constant polarity and upheaval time depends on the
magnitude of the disturbance torque and core
asymmetry. We discuss Einstein's hypothesis about the
origin of the magnetic field when rotating the neutral
masses. It is shown that the motion on a hypersphere
in the 112D has the effect of a magnetic field due to
the interaction of nucleons in nuclei. Such magnetic
field is most evident for iron, cobalt and nickel -
elements are consisting of the Earth's core
On the basis of local semantic information of the models of California the dependence of parameters seismic activity on the position of the space objects has been investigated and the model of short-term earthquake prediction has been created. The formal criteria of astronomical parameters of high informative value in the preparation and implementation of earthquakes have been established. On the example of semantic models, we have developed criteria for seismic hazard zones for individual study of the region of California 2x2 degrees of longitude and latitude with regard to the intended depth of the hypo-center and magnitude of possible earthquakes
Econometrics is one of the most effective mathematical tools of controlling. The article deals with general problems of application of econometric methods in solving problems of controlling. Econometric methods - is primarily a statistical analysis of concrete economic data, of course, with the help of computers. In our country, they are still relatively little known, even though we have the most powerful scientific school in the foundations of econometrics - the probability theory. The article shows that to decide the problems of controlling is necessary to apply econometric methods. Classification of econometric tools can be carried out on various grounds: on methods, by type of data, in tasks, etc. Mass introduction of software products, including modern econometric analysis tools of concrete economic data can be regarded as one of the most effective ways to accelerate scientific and technological progress. The whole arsenal currently used econometric and statistical techniques (methods) can be divided into three streams: high econometric (statistical) technology; classical econometric (statistical) technology, low (inadequate, obsolete) econometric (statistical) technology. The main problem of modern econometrics is to ensure that the concrete econometric and statistical studies used only the first two types of technology. To get a broader representation of the use of econometric methods in the management of production organization we analyze basic textbook "Organization and planning of engineering production (production management)," prepared by the Department of "Economics and organization of production" of the Bauman Moscow State Technical University. It has more than 20 times using econometric methods and models that testify to the effectiveness of such a tool of manager as econometrics
Statistical methods are widely used in domestic
feasibility studies. However, for most managers,
economists and engineers, they are exotic. This is
due to the fact that modern statistical methods are
not taught in the universities. We discuss the
situation, focusing on the statistical methods for
economic and feasibility studies, ie, econometrics.
In the world of science, econometrics has a rightful
place. There are scientific journals in econometrics,
Nobel Prizes in Economics are given to series of
researches in econometrics. The situation in the field
of scientific and practical work and especially the
teaching of econometrics in Russia is disadvantaged.
Often, individual particular constructions replace
econometrics in general, such as those related to
regression analysis. The article is devoted to
econometrics as an academic discipline. Our course
begins with a discussion of the structure of modern
econometrics, the connections between applied
statistics and econometric methods. We consider
sample researches (analysis of surveys results), the
elements of econometrics numbers, and methods of
testing of statistical hypothesis about homogeneity.
We have given the concepts of regression analysis,
econometric classification methods, modern
measurement theory. The important places are
occupied by the statistics of non-numerical data
(including fuzzy sets and their links with random
sets) and the statistics of interval data. The problem
of the stability of statistical procedures with respect
to the tolerances of input data and model
prerequisites is discussed. The representations of the
econometric methods of expert research and quality
control, analysis and forecasting of time series,
econometrics of forecasting and risks are given
Requirements for the professional training of сontrollers include, in particular, the requirements for an intelligent tool that controllers must possess. One of such tools is the econometrics. Organization of training, in particular, preparation of curricula, programs, teaching materials and textbooks, involves discussion of the scope and content of the relevant discipline. We have given the description of the econometric tools of controlling, including the courses of "Econometrics-1" and "Econometrics-2", which the Department of the IBM-2 "Economics and organization of production" is on the faculty "Engineering and Business Management" of Bauman Moscow State Technical University. We have discussed the external environment of econometrics and the necessary changes in it. For example, the course of "Probability Theory and Mathematical Statistics" is the basis for the study of econometrics. However, it has to be brought into line with modern requirements. In particular, it is necessary to consider such things as random elements with values in an arbitrary space, empirical and theoretical means in such spaces, to prove the laws of large numbers in general statements. Simultaneously with the specified extension course content is reasonable to exclude from the program methods based on those assumptions are not met in the concrete economic situations. In particular, we have to eliminate the one-sample and two-sample Student's t tests and replace them with the corresponding nonparametric tests. We do not need the "classical" and geometric probability, etc. We have given the importance of the problem of constructing integral indicators in various problems of econometrics; issues of analysis of the situation by means of a system of indicators are discussed in detail
When considering the ecological safety of industrial productions, territory, etc., we usually allocate the constant (permanent) risk and the accident (emergency) risk. Permanent risk is given by the used technology, and cannot be changed substantially. Emergency risks are associated with uncertainty, in contrast to the constant risks. Let in adopted mathematical model the uncertainty is probabilistic in nature, and the loss describes as one-dimensional random variable. The distribution function of the loss, as a rule, is not normal. We have discussed in detail the seven characteristics of accidental loss: expectation; median and, more generally, quantile; dispersion; standard deviation; coefficient of variation; a linear combination of the expectation and standard deviation; the expectation of the loss function. Risk management may be to minimize these characteristics and their combinations (in different variants of multicriteria optimization). For example, in the two-criteria formulation it is required to minimize the expectation of loss and the standard deviation. Two-criteria formulation one way or another is reduced to a one-criteria formulation. In addition to probabilistic methods of risk modeling, sometimes we consider methods for describing risk using by means of objects of non-numeric nature, in particular qualitative characteristics, concepts of the theory of fuzzy sets, interval mathematical and econometric models and other mathematical tools. The main problems of the theory and practice of ecological insurance have been discussed
The article by continues the cycle of their studies
related to the formulation and development of
methods of constructing non-negative solutions of
inverse problems of balance models (in this case,
the model of world trade). Method of constructing
nonnegative solutions of the studied inverse
problems is developed. This technique is based on
the following scheme of the solution. Initially we
convinced of a correct formulation of the direct
problem, then of the solvability of the inverse.
Further, by specified tabular solutions of the direct
problem, a system of algebraic equations
containing the unknown, the estimated parameters
of the studied model is built. Then the inverse
problem reduces to solving the following quadratic
programming, the solution of which is determined
in MS Excel. The theoretical material is
accompanied by solution of specific example,
using statistical data of the Karachay-Cherkess
Republic that shows how actually in practice it is
possible to solve the inverse problem, i.e. to
organize a process of balanced trade of the
Karachay-Cherkess Republic with each of the
subjects of Noth – Caucasion Federal District.
Found the non-negative elements of a matrix, by
which we can judge what proportion of national
income, y, the subject has to spend on the purchase
of goods in the Karachay-Cherkess Republic, to
trade between this pair was balanced. So, the
inverse problem posed in relation to the trading
countries, it is possible to put and solve the
following method and to trade between the
subjects of one country
In this paper, we consider gravitation theory in multidimensional space. The model of the metric satisfying the basic requirements of quantum theory is proposed. It is shown that gravitational waves are described by the Liouville equation and the Schrodinger equation as well. The solutions of the Einstein equations describing the stationary states of arbitrary quantum and classical systems with central symmetry have been obtained. Einstein’s atom model
has been developed, and proved that atoms and atomic nuclei can be represented as standing gravitational waves
Wave solutions of Einstein's equations in the sixdimensional
space-time with metric signature (+, +, +, -, -, -) have been found. It is shown that solutions of this type can be used to model the structure of the electric charge