The article is devoted to the study of age-related features of the display of varying degrees of courage and stress tolerance to a dangerous situation that cannot be predicted, created in the course of the experiment, as close as possible to the real situation. Each factor of the typological complex was evaluated by a relation coefficient in the system. In comparing the age-related features of the display of courage with the age-related features of the display of the main characteristics of the nervous system, it was found that the latter change in such a way that in one age period they contribute to the display of courage, but in another age period, on the contrary, they prevent the display of courage. The comparison of age-related change in the number of persons with extinction mobility with a high degree of courage shows that in many age groups they change in different directions, but this divergence indicates that the change in the typological feature corresponds to the nature of the change in the degree of courage.

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In the article, the authors have developed the method for assessing the innovative development of the Russian economy. For this, an index analysis of the following factors has been carried out: the number of organisations and workers performing research and development; financing innovative activities; advanced manufacturing (nano)technologies in the process brought to the consumer; application of innovative technologies and objects of intellectual property. The integral indicators characterising their changes have been calculated, and the levels of innovative development of the Russian economy have been determined. Then, using the tools of mathematical modelling, a multi-factor mathematical model has been built and tested in real-time that enabled to obtain a high-quality predicted result. Based on the obtained forecasts, it is possible to state the need to adjust specific indicators that actively affect innovative development, which is a mathematical justification for making managerial decisions when developing strategies and programs related to the technological and digital modernisation of the Russian economy.

Object: search for new methods of influence on improving the quality of work with students in the field of physical culture and sports. The analysis includes data obtained as a result of fulfilling the standards of the GTO complex by students of our university. The peculiarities of the fulfillment of various standards included in the VI stage of the GTO complex, both mandatory and optional, are considered. The authors of this article have developed and proposed at the scientific and methodological council of the Department of Physical Education recommendations to improve the situation with the implementation of the standard for endurance.

This article discusses the features of the construction of the educational process in physical culture for children of primary school age with hearing impairments. This problem is relevant due to the fact that at present the health of children and their physical development are of paramount importance in the development of various social programs, including physical education.