Progress does not stand still, and machines are involved in the process of training professional athletes, where the greatest restriction is economic in nature - simulators are not available to a wide range of users. The field of running sports is currently practically not provided with robotic support in such a way that with the help of machines it was possible to implement the process of training an athlete. This article is devoted to the construction of the concept and principles of the implementation of a mobile robot for performing running exercises.

The research performed is dedicated to the problem of energy efficiency analysis of modern delivery drones. 12 models are chosen to provide a statistical calculations of the average ratio of mass and flight range of the drone. The method of least squares is used to analyze trends. The conclusion is made that the most successful companies apply the similar ratio of mass and flight range. The most successful drones of such companies are able to carry from 1.3 to 2.27 kg of cargo and have a flight range from 10 to 24 km. That allows to judge about the energy efficiency of these devices.

Annotation. In most cases, multifunctional robots used both in industry and in the home environment to facilitate human labor have a common problem, which is a lack of autonomy and self-learning. This does not mean that it is impossible to implement self-learning within the operation of these machines, but most often such technical units function according to a specific algorithm, without deviating from its principles, even if this may lead to better results. First of all, a clear adherence to the program, in accordance with the acceptable quality of the final result, is put at the forefront. However, when working with technical units that do not depend on clear industrial or household algorithms, it is allowed to use an individual approach to the implementation of management processes. This work is devoted to the construction of the concept and principles of implementing voice control of a mobile robot for performing movement tasks.

Currently, information technologies have been tightly integrated into agriculture. Since no computer calculations are possible without a powerful mathematical apparatus, the question arises about the possibility of modeling the processes occurring in agriculture with the help of modern achievements of science and technology. The present study is devoted to the existing methods of mathematical modeling in agriculture in relation to the applied aspects of agriculture. The aim of the research is to develop a critical approach to modern developments in the field of mathematical modeling and their place in agriculture. It is shown that the introduction of mathematical models based on modern scientific knowledge contributes to the optimization of agricultural processes and increasing the efficiency of any farm. Based on statistical studies, it is shown that among all branches of agriculture, mathematical methods are most often used in economic calculations, least of all, in calculations related to farm modeling. This is explained both by the complexity of modeling all processes occurring within a single farm, and by the loss of accuracy, which increases with the complexity of the system model.

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