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An improvement in the quality of polymer feedstock by introducing fullerenes is shown. It has been established that the preliminary introduction of a fullerene mixture into the rubber increases its cohesion strength, forming physical three-dimensional structures in the polymer structure.

The article considers the problem of assessing the quality of food products and the process of their production using the example of determining the mass fraction of sodium chloride in baked pork. Salt is an important component, the content of which is regulated by standards and technical regulations and affects all types of indicators: organoleptic, quality and safety. Standard methods of sampling and determining the mass fraction of sodium chloride - the methods of Mora and Folgrade, which establish the average value of the measured index are analyzed. As a result of the conducted studies, a method for estimating the distribution of components in a food product based on the second Fick law, which takes into account the nonstationary nature of the flow and provides for the possibility of changing the flow of atoms in the diffusion process, is proposed. The article provides a mathematical justification for the proposed methodology. Based on the methods, regulated by standards, the method allows to demonstrate clearly the values of the component content in the product mass.The developed method gives a more complete picture of the quality of products, allows us to draw conclusions about the quality of the process and the causes that affect it.This information will allow to develop a set of measures to ensure a high level of competitiveness of the food product.

The article deals with the higher education institutions national aggregate rating constructing problem. This task is relevant in terms of improving management processes in educational organizations. This problem is formulated as a collective choice problem. Proposed to use voting in small groups as aggregation procedures, which satisfies the Condorcet principle. Three collective choice rules description is given in the paper. Obtained on the Bord, Copeland and Kemeny basis procedure salternatives final orderings stability is illustrated by concrete examples. The empirical mean is considered as a Kemeny median approximation. The Bord procedure instability with respect to changes in the initial scores obtained by universities in the ranking mechanisms under consideration is illustrated by examples. This paper presents the results of applying the described small-group voting procedures to a limited sample. This sample consists of data from 15 higher educational institutions from one of the Russian Federation regions. Universities constructed three aggregated ranks proximity degree was evaluated using two metrics - Kendall's rank correlation coefficient and Kemeny's distance. Based on the obtained results comparative analysis, it was made a conclusion about the expediency of using Condorcet-consistent collective selection procedures when constructing educational organizations aggregate ranking.