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D. Ismoilov

Number of the journal, №: 2017. № 4

Annotation: This article describes the ways in which students can develop logical thinking skills. Currently, any form
of the exam takes precedence over logic. Accordingly, the article grouped logical tasks and provided their
solutions.

Number of the journal, №: 2017. № 3

Annotation: The Pell equations are a class of Diophantine equations of the second degree. These equations are found
in different areas of mathematics. In this paper we investigate the generalization of the Diophantine Pell
equation and find a solution in the form of polynomials of integer coefficients. A detailed study of the theorems
and proofs offered to the reader helps us to more deeply comprehend the essence of the Diophantine equation.
The result of this article is to find the smallest solution. The study is an additional source of study of Pell's
equations.

Number of the journal, №: 2017. № 1

Annotation: This article reveals the possibility of solving life situations with combinatorial coefficients and shows the practicality of applying formulas on the theory of probability and mathematical statistics. The solution of tasks with combinatorial coefficients consists mainly in the decomposition of these coefficients by the basic formulas and their manipulations.

Number of the journal, №: 2016. № 3

Annotation: In this article we consider some fractional-irrational expressions and prove the assertion that reduce them to fractional-rational expressions and also consider one general lower-and-upper bound (two-sided estimate) for one numerical series.