01.00.00 Physical-mathematical sciences
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NUCLEI SHELLS AND PERIODIC TRENDS. PART 2.
01.00.00 Physical-mathematical sciences
DescriptionParameters describing periodic trends in the formation of nuclear shells have been established based on the theory of nuclear interactions and data on the binding energy of nucleons for the set of known nuclides
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NUCLEI SHELLS AND PERIODIC TRENDS
01.00.00 Physical-mathematical sciences
DescriptionParameters describing periodic trends in the formation of nuclear shells have been established based on the theory of nuclear interactions and data on the binding energy of nucleons for the set of known nuclides
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ELLIPSOMETRIC STUDIES OF NANOCOMPOSITE STRUCTURE OF OXIDE COATINGS
01.00.00 Physical-mathematical sciences
DescriptionThe purpose of research is improving the process of definition of wet strength oxide coverings without damages of products from glass taking into account the available data
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01.00.00 Physical-mathematical sciences
DescriptionMicro and nanofluidics are the new multidisciplinary sciences. One of the tasks of which is creation and management of flow of fluid in the thin channels size of a few nano- or micrometer which exposed the external electric field, where the walls are the ion exchange membrane. Electroosmosis (electroconvection) plays an important role in these tasks. A large number of articless were devoted to electroosmosis. One of the first, Dukhin S.S., Mishchuk N.A. and Rubinstein I. gave a theoretical explanation of the overlimiting current by electroosmosis. They used two-dimensional Stokes equation to calculate the flow of the electrolyte, and one-dimensional equations of Nernst-Planck and Poisson to calculate the electric power. These researches have multiple limitations because of the computational complexity the mathematical simulation. Thus, there is an actual problem of the asymptotic solution of boundary value problems for the two-dimensional systems of equations of NernstPlanck and Poisson without these restrictions. These researches we derived in simplified models of electroosmosis in galvanic dynamical mode using the decomposition method. We have created a hierarchical system of two-dimensional mathematical models of ion transport of salt and electroosmosis in micro- and nanochannels formed by selective ion-exchange membranes
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01.00.00 Physical-mathematical sciences
DescriptionWave 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
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ELECTRICAL PHENOMENA ASSOCIATED WITH DYNAMIC IMPACT ON ROCK SAMPLES
01.00.00 Physical-mathematical sciences
DescriptionSLF/VLF electric radiation emitted by rock samples due to the slow-growing pressure and the shock impact was studied. Rock samples’ specific electrical resistance change due to the shock impact is examined
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ELECTRICAL PROPERTIES OF A THIN LAYER OF A MAGNETIC FLUID WITH A GRAPHITE FILLER IN A MAGNETIC FIELD
01.00.00 Physical-mathematical sciences
DescriptionThe electrical properties of the thin magnetic fluid layer containing the dispersion of graphite microparticles are studied. The influence of the external magnetic field on the peculiarities of the electrical properties is investigated
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01.00.00 Physical-mathematical sciences
DescriptionThis work is devoted to the research of the thin-walled cylinders’ surface roughness dependence upon the modes of processing by the roller head. The research was made on the machine 1K62, preliminary treatment – boring and unfolding
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ECONOMIC-MATHEMATICAL METHODS IN CONTROL OF INDUSTRIAL AND ECOLOGICAL SAFETY
01.00.00 Physical-mathematical sciences
DescriptionWhen 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
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01.00.00 Physical-mathematical sciences
DescriptionThe 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