01.00.00 Physical-mathematical sciences
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CLIMATIC CHANGES IN THE BLACK SEA REGION AND ELABORATION OF STRATEGY FOR ITS SUSTAINABLE DEVELOPMENT
01.00.00 Physical-mathematical sciences
DescriptionIn this article, we consider some aspects of regional development under changing climatic conditions. Further, we discuss trends and in global and regional climate in the past century and scenarios of climatic changes up to the end of the current century. The system of measures is suggested for transition to sustainable development of Russian Black Sea Coast. The conclusion is made that elaboration and correction of the regional sustainable development strategy requires wide spreading of information about climatic changes, environmental, economical and demographic conditions in the region
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A MODEL FOR MINORITY CARRIER MOBILITY IN POLYSILICON EMITTERS
01.00.00 Physical-mathematical sciences
DescriptionA model for minority carrier mobility in polysilicon emitter contacts is developed. It is based on the effect of the segregation of electrically active dopants to polysilicon grain boundaries and the thermionic emission - diffusion theory of the hole current. An analytical equation is derived which allows to calculate hole mobility in polysilicon emitter contacts and its dependence on dopant concentration and polysilicon grain size
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EMERGENCE PARAMETER OF CLASSICAL AND QUANTUM STATISTICAL SYSTEMS
01.00.00 Physical-mathematical sciences
DescriptionIn this article we give a generalization of Hartley's model for the measure of information. We propose a rate of emergence, which is applicable to systems obeying classical or quantum statistics. Quantum sys-tems that obey Fermi-Dirac statistics and Bose-Einstein condensate, as well as classical systems obey-ing the Maxwell-Boltzmann statistics have been con-sidered. We found that the emergence parameter of quantum and classical systems differ as well as the emergence parameter of quantum systems of fermions and bosons. Consequently, the emergence parameter might be used to distinguish the classical system and quantum system, as well as quantum system of fermions and the quantum system of bosons
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MAIN FEATURES OF THE NEW PARADIGM OF MATHEMATICAL STATISTICS
01.00.00 Physical-mathematical sciences
DescriptionThe new paradigm of mathematical statistics is based on the transition from parametric to nonparametric statistical methods, the numerical data - to non-numeric, on the intensive use of information technology. Its distinctive features are revealed in comparison with the old paradigm of mathematical statistics in the mid-twentieth century
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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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01.00.00 Physical-mathematical sciences
DescriptionA model is developed for stress-dependent surface generation and recombination of point defects in silicon. Using the model, such phenomena as stacking fault growth and stress-mediated dopant diffusion in silicon are simulated
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01.00.00 Physical-mathematical sciences
DescriptionIn the article, we have considered the application of a system-cognitive analysis and the Eidos-X++ intellec-tual system to create complex multifactor models of nonlinear control objects on the basis of noisy frag-mented empirical data of large dimension and for the use of these models to solve problems of forecasting, executive decision making and research of the model objects. We have formulated the systematic generalization of the principle of Ashby (for nonlinear systems). The numerical example of a study of an abstract nonlinear system (Lissajous figures), in which the combined effect of multiple factors is the sum of the influences of each of these factors separately, that says about non-compliance of these factors, the principle of superposition and nonlinear effects in the system under consideration. It is shown, that the proposed device and software tools allow us to model such systems. We note, that the proposed device and instrumentation allow to interpret some classification scale, as projected geographical coordinates of the event, and others, like the foreseeable events and their severity, which allows you to get cartographic visualization of recognition of the place and time of events
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RENEWAL DEPENDENCE METHOD OF LEAST SQUARES BASED NONPARAMETRIC MODEL WITH PERIODIC COMPONENT
01.00.00 Physical-mathematical sciences
DescriptionWe consider the nonparametric problem of reneval dependence, which is described by the sum of a linear trend and periodic function with a known period. We obtain the asymptotic distribution of the parameter estimates and the trend component. The methods of estimating the periodic component and designing in-terval forecast. In the model of the points of observa-tion, natural for applications, justified by the condi-tions of use. In particular, we prove an asymptotically unbiased estimate of the coefficient of the linear term
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01.00.00 Physical-mathematical sciences
DescriptionThis article proposes a generalized principle of relativity, similar to Galileo's principle of relativity Ein-stein, but for all kinds of real and virtual systems, not just the physical, hypothesis about his relationship with the theorem of Emmy Noether and laws of con-servation of energy, momentum and angular momen-tum in the socio-economic and psychological systems. On the basis of the information theory of time and information theory of value (E.V. Lutsenko, 1980), the conclusions about the non-uniformity of the course of time in social systems, inhomogeneity and anisotropy's of a bench economic space and violations of the laws of conservation of energy, momentum and angular momentum in social systems, and accordingly, of a failure to comply or only partial implementation for them the generalized principle of relativity have been made in the article
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SYSTEM FUZZY INTERVAL MATHEMATICS - A PROMISING AREA OF THEORETICAL AND COMPUTATIONAL MATHEMATICS
01.00.00 Physical-mathematical sciences
DescriptionThe article b riefly considers the prospects of some “points of growth” in the modern theoretical and computational mathematics: the numbers and sets, i.e. the base of modern mathematics; mathematical, pragmatic and computer numbers; from the usual sets - to unclear; the theory of fuzzy sets and “fuzzy dou-bling” of mathematics; the mix of fuzzy set theory to the theory of random sets; interval numbers as a spe-cial case of fuzzy sets; development of interval mathematics (interval doubling of mathematics); the system as a generalization of a multitude; the systematic generalization of mathematics and tasks emerging; the systematic generalization of operations on sets (on the example of the operation of the Boolean association); the systematic generalization of the concept of functions and functional dependencies participation; cognitive function; the matrix of knowledge as fuzziness with an estimated degree of truth of showing data systems arguments on the system of values of the function; modification of the method of least squares for the approximation of cognitive functions; development of the idea of the systematic generalization of mathematics in the field of information theory – system emergent information theory; information measures of the level of consistency; ratios of emergence; direct and opposite, direct and indirect logical reasoning with an estimated level of truth; intellectual system of Eidos X++ as a toolkit that implements the ideas of system of a fuzzy interval sum of mathematics