Headings of the journal
"Educational Resources and Technologies"

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.

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.

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.

Annotation: Thi sarticle demonstrates theinfluence of scale on results of complex decisions in methodology Analytic Hierarchy Process (AHP) by Tomas L. Saaty. Investigate questions of transitions to different scales for solving direct and inverse Saaty problems. The results of transitions are demonstrated for solving problem of verify classification.