01.00.00 Physical-mathematical sciences
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01.00.00 Physical-mathematical sciences
DescriptionThe article discusses the application of automated system-cognitive analysis (ASC-analysis), its mathematical model which is system theory of information and its software tool, which is intellectual system called "Eidos" for solving problems related to identification of types and models of aircraft by their silhouettes on the ground, to be more precise, their external contours: 1) digitization of scanned images of aircraft and creation of their mathematical models; 2) formation of mathematical models of specific aircraft with the use of the information theory; 3) modeling of the generalized images of various aircraft types and models and their graphic visualization; 4) comparing an image of a particular plane with generalized images of various aircraft types and models, and quantifying the degree of similarities and differences between them, i.e., the identification of the type and model of airplane by its silhouette (contour) on the ground; 5) quantification of the similarities and differences of the generalized images of the planes with each other, i.e., clusterconstructive analysis of generalized images of various aircraft types and models. The article gives a new approach to digitizing images of aircraft, based on the use of the polar coordinate system, the center of gravity of the image and its external contour. Before digitizing images, we may use their transformation, standardizing the position of the images, their sizes (resolution, distance) and the angle of rotation (angle) in three dimensions. Therefore, the results of digitization and ASC-analysis of the images can be invariant (independent) relative to their position, dimensions and turns. The shape of the contour of a particular aircraft is considered as a noise information on the type and model of aircraft, including information about the true shape of the aircraft type and its model (clean signal) and noise, which distort the real shape, due to noise influences, both of the means of countering detection and identification, and environment. Software tool of ASC-analysis, i.e. Eidos intellectual system, provides identification of the type and the model of airplane by its silhouette, as it was shown in a simplified numerical example
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01.00.00 Physical-mathematical sciences
DescriptionThe creation of artificial intelligence systems is one of important and perspective directions of development of modern information technology. Since there are many alternatives of mathematical models of systems of artificial intelligence, there is a need to assess the quality of these models, which requires their comparison. To achieve this goal we require free access to the source data and methodology, which allows to convert these data into a form needed for processing in artificial intelligence. A good choice for these purposes is a database of test problems for systems of artificial intelligence of repository of UCI. In this work we used the database "Iris Data Set" from the bank's original task of artificial intelligence – UCI repository, which solved the problem of formalization of the subject area (development of classification and descriptive dials and graduations and the encoding of the source data, resulting training sample, essentially representing a normalized source data), synthesis and verification statistical and system-cognitive models of the subject area, identify colors with classes, which serve varieties of Iris, as well as studies of the subject area by studying its model. To solve these problems we used the automated system-cognitive analysis (ASC-analysis) and its programmatic Toolkit – intellectual system called "Eidos"
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BAER’S LAW AND EINSTEIN’S VORTEX HYPOTHESES
01.00.00 Physical-mathematical sciences
DescriptionWe consider numerical solutions of the Navier-Stokes equations describing laminar and turbulent flows in channels of various geometries and in the cavity at large Reynolds numbers. An original numerical algorithm for integrating a system of nonlinear partial differential equations is developed, based on the convergence of the sequence of solutions of the Dirichlet problem. Based on this algorithm, a numerical model is created for the fusion of two laminar flows in a T-shaped channel. A new mechanism of meandering is established, which consists in the fact that when the two streams merge, a jet is formed containing the zones of return flow. Vortex motion in a rectangular cavity is studied. It is established that the numerical solution of the problem with discontinuous boundary conditions loses stability at Reynolds number Re> 2340. The trajectories of passive impurity particles in a cylindrical cavity are investigated. An explanation of the behavior of tea leaves in a cup of tea in the formation of a toroidal vortex because of circular stirring is confirmed, which is confirms the wellknown hypothesis of Einstein. A numerical model of flow in an open channel with a bottom incline in a rotating system is developed. It is shown that in both laminar and turbulent flow under certain conditions a secondary vortex flow arises in the channel due to the Coriolis force, which explains the well-known Baer law and confirms the Einstein hypothesis
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MANY-BODY PROBLEM IN THE METRIC OF CIRCULAR DISTRIBUTED SOURSES
01.00.00 Physical-mathematical sciences
DescriptionIn this article we consider the many-body problem in general relativity in the case of the distribution of N singularities on the circle. It specifies the exact solution of the problem for an arbitrary distribution of singularities. It is shown that the static metric of N singularities corresponds to Newton's theory of N centers of gravity, moving around the central body in a circular orbit in a non-inertial frame of reference, rotating with a period of bodies revolving. We consider the statement of the problem of many bodies distributed at the initial time on the circle. In numerical calculations, we studied the properties of the gravitational potential in the problem of establishing a static condition in which multiple singularities retain the initial position on the circle. This is achieved due to relativistic effects, which have no analogues in Newton's theory of gravitation. Using the properties of relativistic potentials justified transition from the relativistic motion of the particles to the dynamic equations in the classical theory. A system of non-linear parabolic equations describing the evolution of the metric in the Ricci flow proposed. The problem of the calculation of the potentials in the Ricci flow formulated. The application of the theory to describe the ring galaxy, planetary rings and the asteroid belt considered
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THE PROBLEM OF RESEARCH OF FINAL RANKING FOR GROUP OF EXPERTS BY MEANS OF KEMENY MEDIAN
01.00.00 Physical-mathematical sciences
DescriptionIn various applications, it is necessary to analyze several expert orderings, i.e. clustered rankings objects of examination. These areas include technical studies, ecology, management, economics, sociology, forecasting, etc. The objects can be some samples of products, technologies, mathematical models, projects, job applicants and others. In the construction of the final opinion of the commission of experts, it is important to find clustered ranking that averages responses of experts. This article describes a number of methods for clustered rankings averaging, among which there is the method of Kemeny median calculation, based on the use of Kemeny distance. This article focuses on the computing side of the final ranking among the expert opinions problem by means of median Kemeny calculation. There are currently no exact algorithms for finding the set of all Kemeny medians for a given number of permutations (rankings without connections), only exhaustive search. However, there are various approaches to search for a part or all medians, which are analyzed in this study. Zhikharev's heuristic algorithms serve as a good tool to study the set of all Kemeny medians: identifying any connections in mutual locations of the medians in relation to the aggregated expert opinions set (a variety of expert answers permutations). Litvak offers one precise and one heuristic approaches to calculate the median among all possible sets of solutions. This article introduces the necessary concepts, analyzes the advantages of median Kemeny among other possible searches of expert orderings. It identifies the comparative strengths and weaknesses of examined computational ways
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01.00.00 Physical-mathematical sciences
DescriptionThe study of the thermo-physical properties of liquids gives an opportunity of qualitative and quantitative evaluation of condensed matter theory, phase transitions and critical phenomena. To forecast the thermo-dynamic properties of liquid natural hydrocarbons one must know the basic heat-physical characteristics in a wide range of condition parameters. We have researched specific isobaric thermal heat capacity of gas condensates of Oposhnyanskoye, Solokhovskoye, Bukharskoye, Rybalskoye, Stavropolskoye, Schebelinskoye and Yubileinoye deposits theoretically and experimentally. These substances were in liquid phase on pseudo-critical isobar in the range of temperatures from minus 40 till 100 °C. In the article the findings of the investigation are presented. The mean relative experimental error doesn’t exceed ± 1.5 %, with reliability 0.95. The universal equation expressing specific isobaric thermal heat capacity as the function of temperature and molar mass has been obtained. It describes specific isobaric thermal heat capacity on pseudo-critical isobar for investigated natural hydrocarbons with the mean relative error, which does not exceed ± 1.65 %. The use of the equation for the calculation of specific isobaric thermal heat capacity of the substances of other deposits is recommended
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THE UNITY OF MICRO- AND MACRO WORLD
01.00.00 Physical-mathematical sciences
DescriptionIn this article we have presented the actual idea about the evolutional character in the modern science. The reason of the unity of nature is demonstrated in the particular example using cosmology and physics
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THE UNIFIED FIELD THEORY AND SUPERGRAVITY IN 112D
01.00.00 Physical-mathematical sciences
DescriptionIn the paper the problem of constructing a unified field theory based on the theory of supergravity in the 112D is discussed. It is assumed that in the 112-dimensional Riemann space there are 37 three-dimensional worlds coexist having a single time and associated gravity. Investigated centrally symmetric metric depends on the radial coordinate in the observable physical space of one of the worlds. It is assumed that in the 112D performed the wave equation of the general form, describing the dynamics of the scalar field. From this equation, the wave equation is displayed in the fourdimensional space-time, containing terms describing the contribution of extra dimensions. It is shown that the quantum numbers of the problem allow us to describe the structure of the atom and the atomic nucleus on the assumption that given the total mass of the central body. The problem on the dynamics of the scalar field in the 112D in a centrally symmetric metric has been described. Built of field quantization theory in general, and in the particular case of metrics depending on the Weierstrass elliptic functions. It is shown that in this case there are bounded periodic potentials and corresponding periodic solutions that depend on the energy and angular momentum projection, and on the invariants of the Weierstrass function. It is found that in an excited state with a sufficiently large magnitude of the angular momentum of the projection portion of the radial wave function is periodic in a limited range, while the ground state allowed waves on all axes of the radial coordinate. The connection of the solutions to the Yang-Mills theories discussed
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DYNAMICAL MODEL OF ELECTROMAGNETIC DRIVE
01.00.00 Physical-mathematical sciences
DescriptionThe 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
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PARTICLE DYNAMICS IN METRICS WITH LOGARITHMIC POTENTIAL
01.00.00 Physical-mathematical sciences
DescriptionParticle dynamics in metrics with logarithmic potential The work considers the problem of modeling the motion of particles in a unified field theory to 6D, in theory, supergravity in the 112D and metric galaxies. We have investigated a centrally symmetric metric in the 112-dimensional Riemannian space, which depends on the radial coordinate, time, and 110 angles. We present a system of equations describing the angular movement on a hypersphere of any dimension N. It is shown that the motion on the hypersphere depends on the 2 (N-1) of singular points. We have installed general nature of relativistic motion on a hypersphere when it is displayed on the plane and in three-dimensional space. It is shown that the motion determined by the reflection from the singular points that of motion on the plane in some cases leads to thickening of the trajectories in the neighborhood of sides of the rectangle. The 6D investigated metric describing the case of motion with two centers of symmetry. It is shown that in such a metric exists a class of exact solutions, logarithmically dependent on the gravity centers of origin. It is found that in this system there is a motion with condensation paths around the sides of the rectangle, due to scattering of test particles gravity sources. We set the general nature of angular motion on a hypersphere and radial movements in 6D in the metric of a logarithmic potential. It is proved that similar solutions with logarithmic potential exist in galaxies metric in the metric of Einstein's theory of gravity. The article also describes the connection of the solutions to the nonlinear electrodynamics, and with a theory of quark interactions and Yang-Mills theory