01.00.00 Physical-mathematical sciences
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01.00.00 Physical-mathematical sciences
DescriptionIn the article, a text is considered as a system, which includes both verbal and nonverbal subsystems of different levels of hierarchy. System generalization of the classical Shannon measure of information in text and a quantitative measure of the level of systematic text, called the "coefficient of emergence of Shannon", which is based on it, is proposed. This article shows mathematical relationship between the obtained coefficients of emergence of Hartley in 2002 and Shannon's proposed rate of emergence. It is shown that every object of cognition can be associated with a text reflecting its composition and structure. The process of learning from this perspective is seen as a process of constructing a text object models of learning and research process of these models. The definition of procedures for encryption and decryption, as well as quantitative measures of their effectiveness based on quantitative measures systematic texts is given. From this standpoint, the relationship of encryption and decryption with zipping and unzipping is shown. We propose a computer program for the numerical measurement of systemic and specific texts of the simulated systems and present some numerical examples in this article
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INTENSITY PARAMETERS OF ERBIUM IONS IN LEAD TUNGSTATE CRYSTALS
01.00.00 Physical-mathematical sciences
DescriptionLead tungstate monocrystals doped by erbium were investigated in this article. Judd-Ofelt intensity parameters, radioactive lifetimes and emission cross-sections were calculated
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01.00.00 Physical-mathematical sciences
DescriptionIn this report we have compared an approximation accuracy of distribution function of continuous random variable in a bounded region calculated with Rozenblatt-Parzen method and imaginary sources method. The comparison has been performed with theoretical distribution rule. We have explained the reasonability of using imaginary sources method in case of continuous random variable with single-mode distribution rule
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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
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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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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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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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FUZZY SETS THEORY AS THE PART OF PROBABILITY THEORY
01.00.00 Physical-mathematical sciences
DescriptionOne of the key provisions of the system fuzzy interval mathematics - the claim that the theory of fuzzy sets is the part of the theory of random sets, thus, part of the probability theory. The article is devoted to the justification of this statement. Proved number of theorems that show that the fuzzy sets and the results of operations on them can be viewed as the projections of random sets and the results of the corresponding operations on them
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METHODOLOGY OF CONTROL PROCESSES MODELING IN SOCIO-ECONOMIC SYSTEMS
01.00.00 Physical-mathematical sciences
DescriptionThe article introduces the basic concepts of control theory. It has also noted the multicriteriality of real control problems. After reviewing the basic concepts of the theory of modeling we have analyzed postwar history and current status of mathematical modeling of control processes. We have also discussed the modeling methodology. As an example of a real model of the management process we have considered a model of allocation of time between the acquisition of knowledge and development of skills
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MULTICRITERIA PROBLEM DEFINITION OF A SELECTION OF PROJECTS TARGETED PROGRAMS
01.00.00 Physical-mathematical sciences
DescriptionIn the article, we have considered the economic-mathematical model of selection of projects targeted programs on the example of the Russian Federation. The article also defines criteria of their distribution. We have proposed the parallel algorithm with the guaranteed estimates of the allocation of graph