Approximation of wavelet operator by its hyperfinite analogy
Page:296-302
Headings of the journal
"Educational Resources and Technologies"
Educational environmentMethods and technologies of training and educationInformation technologyMathematical cyberneticsMethodological researchManagement in social and economic systemsApplied GeoinformaticsEducation for sustainable developmentAll rubrics
All rubrics
Release: 2014-1 (4)
Keywords: wavelet operator , tabular approximation, hyperfinite operator
Annotation: The article deals with the problem of approximation of wavelet operator by its hyperfinite analogy. This problem is studied by the method of the non-standard analysis. It is proved that the hyperfinite wavelet operator is a bounded operator, its norm is less ore equal to 1 and this operator approximates the continuous wavelet operator.
The Markov model of the process of formation of the blood group of a child in the system AB0
Page:302-312
Release: 2014-1 (4)
Keywords: Markov model, A and B antigens, parents’ blood groups combinations, final probability, time of formation, dispersion, average value
Annotation: The article shows the use of the mathematical model in the form of Markov chains to analyze the process of formation of the blood group of a child in the system AB0. Probabilistic dependencies of the final probabilities and time of formation of blood groups on the activity of the antigens A and B are given.
On the existence of a stationary measure for the stochastic system for the quasi-solenoidal lorenz model for a baroclinic atmosphere on a sphere
Page:312-313
Release: 2014-1 (4)
Investigation of forced convective heat transfer of nanofluids in a cylindrical tube
Page:313-321
Release: 2014-1 (4)
Keywords: heat exchange in liquids, nanoliquid, Grets's task, the self-conjugate operator, own functions, the numerical modeling, the compelled convection
Annotation: In this paper, the heat transfer in liquids and nanofluids in a cylindrical tube is investigated. The exact solution for the temperature of one-component fluid (water) is obtained. Numerical simulation of forced convection of water and water/ nanofluid is performed and the temperature distribution in the tube is found. As a re: sult, the efficiency of heat transfer in water/ nanofluid is investigated depending on nanoparticle concentration and flow ve-locity.
Algebraic methods to model reasoning
Page:321-331
Release: 2014-1 (4)
Keywords: n-tuple algebra, logical inference, defeasible reasoning, collisions
Annotation: Boolean algebra is a widely known algebraic method in logic. This algebra is a counterpart of the propositional calculus. To model the predicate calculus, Lindenbaum-Tarski algebra, polyadic Halmos algebra and other algebras were proposed. However, these algebras are too abstract and complicated for algorithmization. In the given paper, we describe our n-tuple algebra that can be thought of as a generalization of mathematical theory of relations.