01.00.00 Physical-mathematical sciences
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MODELOF CELESTIAL BODIES IMPACT ON THE EARTH POLARMOTION
01.00.00 Physical-mathematical sciences
DescriptionPerturbed motion of a pole of the Earth caused by gravitational action of celestial bodies is explored in the article
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SIMULATION OF ATMOSPHERIC VORTEX FLOWS ON JUPIER AND SATURN
01.00.00 Physical-mathematical sciences
DescriptionAtmospheric currents on Jupiter and Saturn are characterized by turbulence and complex vortex structure, which is caused by a large angular speed of the gas giants. In this paper we consider two types of eddy currents - for hexagonal in the northern polar region of Saturn and the Great Red Spot in the equatorial region of Jupiter. For the numerical simulation of turbulent flows of this type the model of the planetary boundary layer was developed by the author. In both cases, the main strengthening mechanism is associated with geostrophic flow of small amplitude interacting with the planetary turbulent boundary layer. For hexagonal Saturn with its characteristic length scales and speed - 120 m / s and 14,500 km, respectively, there are more than 35 years data of observation. We have found that a small axial symmetry violation geostrophic flow in the shear causes the development of a hexagonal pattern in a turbulent boundary layer. In addition, under the influence of the Coriolis force and the eddy viscosity gradient in the turbulent boundary layer there is the jet formed, pressed against the lower edge of the layer. Great Red Spot on Jupiter has the characteristic velocity and length scales - 150 m / s, 14,000 km from north to south and 24000-40000 km from west to east, there are already more than 350 years data. It identified another mechanism of formation of vortex flow, coupled with the strengthening of small amplitude zonal flow in a turbulent boundary layer with the eddy viscosity gradient and the volume turbulent viscosity on a rotating planet. Both mechanisms are confirmed by numerical calculations of non-stationary planetary boundary layer
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01.00.00 Physical-mathematical sciences
DescriptionMultilevel 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
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MULTIFORMITY OF OBJECTS OF NON-NUMERICAL NATURE
01.00.00 Physical-mathematical sciences
DescriptionIn accordance with the new paradigm of mathematical statistics the statistics of objects of nonnumerical nature (statistics of nonnumerical objects, non-numerical data statistics, non-numeric statistics) is one of the four main areas of mathematical statistics. Statistics of objects of nonnumerical nature consists of a central core - statistics in spaces of arbitrary nature - and statistical theories of analysis of specific types of non-numeric data. To identify possibilities of application of statistics of objects of nonnumerical nature it is useful to explore the multiformity of objects of non-numeric nature. This is the subject of this article. We have considered the results of measurements at scales other than absolute; binary relations; dichotomous (binary) data; sets. We have also analyzed the objects of non-numerical nature as statistical data, and their importance in the formation of statistical or mathematical model of a real phenomenon, as a result of data analysis
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MULTICRITERIA PROBLEM DEFINITION OF A SELECTION OF PROJECTS TARGETED PROGRAMS
01.00.00 Physical-mathematical sciences
DescriptionIn the article, we have considered the economic-mathematical model of selection of projects targeted programs on the example of the Russian Federation. The article also defines criteria of their distribution. We have proposed the parallel algorithm with the guaranteed estimates of the allocation of graph
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MULTICRITERIА PROBLEM OF FINDING THE OPTIMAL PATHS FOR LARGE-SCALE TRANSPORT SYSTEM
01.00.00 Physical-mathematical sciences
DescriptionThis article explores the multicriteria problems arise in the organization of routes in large-scale transport management system. As a mathematical tool for constructing a model, we were using the prefractal graphs. Prefractal graphs naturally reflect structure of the device of communications of transport system, reflecting its important features – locality and differentiation. Locality is provided with creation of internal routes (city, raionwide, etc.). Differentiation is understood as division of routes on intra regional, interregional and international. The objective is reduced to a covering of prefractal graphs by the simple paths which are crossed on edges and nodes. On the set of feasible solutions, vector criterion function with certain criteria is based. In concepts of transport system, the given criteria have concrete substantial interpretation, the transport routes allowing to design considering features of system. In this article, we construct polynomial algorithms for finding optimal according to certain criteria decision. By the criteria which aren't optimizing the allocated routes their estimates of the lower and upper bounds are given. On all given algorithms the estimates of computing complexity confirming advantage of use of methods of prefractal and fractal graphs before classical methods of the theory of graphs are constructed and proved
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MECHANISM OF FORMATION AND PROPAGATION OF WAVES IN THE ELECTROMAGNETIC ENVIRONMENT
01.00.00 Physical-mathematical sciences
DescriptionWe discuss the question of the essence of formation and propagation of waves in the electromagnetic environment. We have questioned the reliability of its description by J. Maxwell in the form of alternating electric and magnetic fields. The article justifies the formation of an electromagnetic wave in the form of a wave compression-decompression surrounding electromagnetic photon field flux of photons of different frequencies emitted by different sources or antenna
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THE MECHANISM OF HUMAN EXPOSURE TO THE MAGNETIC FIELD OF THE EARTH AND THE SUN
01.00.00 Physical-mathematical sciences
DescriptionThere is a discussion about the question of the mechanism of the action of the magnetic field of the Earth and the Sun on the human body. It is noted that in the 21st century an international conference on the subject "Man and electromagnetic fields" is regularly held, as well as the international congress "Weak and superweak fields and radiation in biology and medicine". This indicates the importance of studying the effect of electromagnetic fields on the human body. Participants in these conferences and congresses give a lot of experimental data on the influence of various factors on various biological objects. However, there is no theoretical justification for the influence of these fields on the human body. In this connection, in order to solve this problem, the article analyzes the atomic composition of the human body. It is shown that the human body more than 60% consists of hydrogen atoms. On the example of a hydrogen atom, the interaction of the magnetic moment of an electron of an atom with an external magnetic field is considered. This leads to a precession motion of the electron's orbit. Taking into account the fact that photons rotate around electrons in atoms and the temperature is determined by the bulk density of photon energy, the appearance of precessional electron motion will lead to an increase in the frequency of oscillation of photons and, consequently, to an increase in their energy and body temperature. This is confirmed by the fact that the body temperature changes during the day, and, it is minimal in the morning and increases by the evening. The chemical elements of the human body, related to different groups of magnets, are analyzed. It is noted that the external magnetic field has the greatest influence on the state of the human body through a ferromagnet - iron. It is concentrated in the blood, up to 60% in hemoglobin. It is a complex iron-containing blood protein, an integral part of erythrocyte - red blood cells, oxygen carriers. Under conditions of an increase in the intensity of the external magnetic field or the immobile state of the body, the orientation of the individual erythrocytes will increase due to their iron atoms in the direction of the external field. This will lead to the pooling of erythrocytes into clusters, that is, to the formation of unique magnetic domains with a significant increase in the viscosity of the blood and a decrease in its circulatory ability. The last is confirmed by the fact that in people suffering from cardiovascular diseases, heart attacks and strokes most often occur in the early morning especially during periods of solar magnetic storms
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METRIC OF ACCELERATING AND ROTATING REFERENCE SYSTEMS IN GENERAL RELATIVITY
01.00.00 Physical-mathematical sciences
DescriptionMetric describing the accelerated and rotating reference system in general relativity in the case of an arbitrary dependence of acceleration and angular velocity on time has been proposed. It is established that the curvature tensor in such metrics is zero, which corresponds to movement in the flat spaces. It is shown that the motion of test bodies in the metric accelerated and rotating reference system in general relativity is similarly to the classical motion in non-inertial reference frame. Consequently, there exist a metric in general relativity, in which the Coriolis theorem and classic velocity-addition formula are true. This means that classical mechanics is accurate rather than approximate model in general relativity. A theory of potential in non-inertial reference systems in general relativity is considered. The numerical model of wave propagation in non-inertial reference frames in the case when potential depending of one, two and three spatial dimensions has been developed. It is shown in numerical experiment that the acceleration of the reference system leads to retardation effects, as well as to a violation of the symmetry of the wave front, indicating that there is local change of wave speed
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GENERAL RELATIVITY AND METRIC OF LOCAL SUPERCLUSTER
01.00.00 Physical-mathematical sciences
DescriptionIt is shown that the metric of clusters of galaxies should be universal, depending only on the fundamental constants and compatible with the metric of the universe. There are examples of universal metrics obtained in Einstein's theory of gravitation. On the basis of axisymmetric solutions of Einstein’s equation proposed universal metric describing the properties of galaxies, groups and clusters of galaxies