01.00.00 Physical-mathematical sciences
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THE ANALISIS OF SAINT-VENANT EQUATION SYSYEM ANALYTICAL AND NUMERICAL METHODS
01.00.00 Physical-mathematical sciences
DescriptionDiffusion-convection equation that has been received from Saint-Venant differential equation system describing nonstationary fluid motion in a river canal is investigated. Analytical method is considered for the solution of equation with the fixed factors and finite-difference method is considered for the solution of equation system with the float factors. The results of test calculations executed for a reaches of the river Kuban are presented
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ANALYSIS OF THE PROCESSES CAUSED THE MAGNETIC FIELD INFLUENCE ON A STRUCTURE AND PROPERTIES OF WATER
01.00.00 Physical-mathematical sciences
DescriptionThe scientific publications review about a magnetic field influence on cluster sizes and their concentration was carried out. These structural changes are attended by the water system physicochemical properties changes. For example, the surface tension coefficient changes. It is shown, that the conductivity and the dielectric constant of water change in a weak magnetic field. It is provided, that characteristics of water activated by a magnetic field can save in a significant time
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ANALYSIS OF METHODS OF GENERATION OF TIME SERIES WITH LONG-TERM CORRELATION STRUCTURE
01.00.00 Physical-mathematical sciences
DescriptionThis article gives a comparative analysis of six modeling techniques of fractal differential noise, including: direct definition method, the method of Hosking, the method of Davis and Hart's, the circulant embedding method, Paxson method and method of spectral simulation. Furthermore, the algorithms are given for the analysis and the method of estimation of Hurst`s parameter is selected, this method is the main criterion of quality when comparing the above mentioned methods of fractal differential noise
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01.00.00 Physical-mathematical sciences
DescriptionThe article is dedicated to a numerical investigation of a plane problem of the oscillation amplitude of a buried source, depending on the frequency and motion speed in various isotropic media. Three types of the medium are considered: a two-layer package with a rigidly fixed base, a two-layer package with a mechanically free base, a half-space. The source, in the form of a stress jump simulating a rigid inclusion of small dimensions, moves in the interface plane at a constant speed. Homogeneous boundary value problems are considered in a moving coordinate system associated with a source. The solution method is based on the usage of integral Fourier transforms, the method of direct contour integration and algorithms for constructing symbols of Green's matrices. The method of direct contour integration significantly simplifies calculations in comparison with the traditional approaches to the calculation of Fourier integrals. We have presented calculations of nine amplitude-frequency and amplitude-velocity characteristics for different combinations of medium and source types, that give an exhaustive qualitative and quantitative description of the solutions for boundary value problems in a wide range of velocities and frequencies. Comparative analysis of calculations showed a primary influence of the type of an elastic medium on the investigated characteristics, as well as the large influence of the source type. Which, in turn, revealed some substantial connections between the boundary value problems with a moving source and the corresponding problems with a stationary source
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01.00.00 Physical-mathematical sciences
DescriptionClassical combinatorial formula to calculate the number of combinations from n on m: C(n,m)=n!/(m!(nm)!) involves the intermediate calculation of factorials, which is often impossible when n>170, due to limitations in the capacity of numbers that are used in programming languages and created through these systems. However, in some cases it is necessary to calculate the number of combinations for n and m much larger than this limit, such as when a value greater than 10000. In such cases, there is a definite problem, which manifests itself, for example in the fact that many on-line services meant to calculate the number of combinations with these parameters do not work properly. In this article, we present its solution in the form of an algorithm and software implementation. The essence of the approach is to first decompose the factorials into prime factors and reduce them, and then to produce multiplication. This approach differs from those cited in the Internet
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01.00.00 Physical-mathematical sciences
DescriptionIn the article, the algorithm – a recurrent formula for calculation of determinants of prefractal graphs with the full primers, keeping old edges contiguity in a trajectory was received
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ADDITIVE-MULTIPLICATIVE MODEL FOR RISK ESTIMATION IN THE PRODUCTION OF ROCKET AND SPACE TECHNICS
01.00.00 Physical-mathematical sciences
DescriptionFor the first time we have developed a general additive-multiplicative model of the risk estimation (to estimate the probabilities of risk events). In the two-level system in the lower level the risk estimates are combined additively, on the top – in a multiplicative way. Additive-multiplicative model was used for risk estimation for (1) implementation of innovative projects at universities (with external partners), (2) the production of new innovative products, (3) the projects for creation of rocket and space equipmen
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ADAPTIVE TIME SERIES MODELS OF A MOUNTAIN RIVER LEVEL
01.00.00 Physical-mathematical sciences
DescriptionThe article presents a technique of short-term forecasting of water level in the river bed of a mountain type using Markov’s chains
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01.00.00 Physical-mathematical sciences
DescriptionIn the article the application of systemic-cognitive analysis and its mathematical model i.e. the system theory of the information and its program toolkit which is "Eidos" system for loading images from graphics files, synthesis of the generalized images of classes, their abstraction, classification of the generalized images (clusters and constructs) comparisons of concrete images with the generalized images (identification) are examined. We suggest using the theory of information for processing the data and its size for every pixel which indicates that the image is of a certain class. A numerical example is given in which on the basis of a number of specific examples of images belonging to different classes, forming generalized images of these classes, independent of their specific implementations, i.e., the "Eidoses" of these images (in the definition of Plato) – the prototypes or archetypes of images (in the definition of Jung). But the "Eidos" system provides not only the formation of prototype images, which quantitatively reflects the amount of information in the elements of specific images on their belonging to a particular proto-types, but a comparison of specific images with generic (identification) and the generalization of pictures images with each other (classification)
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01.00.00 Physical-mathematical sciences
DescriptionIn the article the application of systemic-cognitive analysis, its mathematical model - the system theory of the information and its program toolkit - "Eidos" system for synthesis of the generalized images of classes, their abstraction, classification of the generalized images (clusters and constructs) comparisons of concrete images with the generalized images (identification) are examined. We suggest a new approach to the digitization of images, based on the use of the polar coordinate system, the center of gravity of the image and its contour. Before digitizing images we can use their changes to standardize the position of the picture-frames, their size and rotation. Therefore, if you specify this option, the results of digitization and image ASC-analysis can be invariant (independent) to their position, size and rotation. This means that in the model on the basis of a number of specific examples we will create one image of each class of images, independent of their specific implementations, i.e., the "Eidos" of these images (in the sense of Plato) - a prototype or archetype (in the Jungian sense) images. But the "Eidos" system provides not only the formation of prototype images, which quantitatively reflects the amount of information in the image elements of the prototype, but the removal of all irrelevant to identification (abstraction), and the comparison of specific images with generic (identification) and the generalized images of images together (classification). The article provides a detailed numerical example of ASC- analysis of images