01.00.00 Physical-mathematical sciences
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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 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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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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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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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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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
DescriptionCorrelation and spectral methods were used to analyze changes in the regime of air temperature and precipitation rate in the Black Sea region in the 20th century. It was established that climatic tendencies on the regional scale differed from the global ones. In order to predict their consequences in the nearest 10 to 20 years it is necessary to concentrate efforts on studying and modeling natural climatic variability, which superimposes on the relatively slow global changes
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CYCLONE REGIME MODIFICATIONS IN NORTHERN AND SOUTHERN HEMISPHERE IN CONDITIONS OF CHANGING CLIMATE
01.00.00 Physical-mathematical sciences
DescriptionThe main objective of this article is to solve a problem of a numerical identification of cyclones based on the reanalysis data. The results show that the amount of cyclones is increasing during last 66 years, the number and depth of cyclones are larger in Northern Hemisphere than in Southern, and Northern Hemisphere cyclones become deeper and deeper with time. Cyclonic activity in the Northern Hemisphere mainly is caused by large number of cyclones, in the Southern Hemisphere – by their depth. In the Northern Hemisphere cyclone characteristics change significantly
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ISOTOPIC REDISTRIBUTION IN PRODUCTS OF PLASMA PROCESSES FOR HIGH FREQUENCY DISCHARGES
01.00.00 Physical-mathematical sciences
DescriptionResearches in plasma methods for isotopes separation and analyze of the results were done. Results show high values of separation coefficient for intermediate products during the last years. It is shown by us, that these factors will be considerably reduced in the subsequent plasma processes and a way of freezing of high value of factor of division of isotopes
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SIMULATION MODEL FOR OPTIMIZATION CONSTRUCTION AND WORK REGIME OF VIBRATING SOWING DEVICE
01.00.00 Physical-mathematical sciences
DescriptionThe simulation model of a vibrating sowing device work process is suggested in this paper. Results of worked out calculations with the use of this model are given.