The problems of development of united territorial communities, in particular unemployment and economic problems, are considered. Communities, in most cases, lack the resources to address economic and other issues. Therefore, it is necessary to create self-sufficient communities in which there are enough financial instruments for their own development. The mathematical model of the decision support system for the development of territorial communities using the agro-industrial sector was considered. An important step in building a mathematical model of the agro-industrial complex is to take into account the specifics of agriculture. The article considers a mathematical model of linear multifactor regression, which describes the relationship between the number of resources expended and the volume of output. Since the processes of economics and production processes of agriculture are complex, it is difficult to describe them using only linear deterministic models. It is common for task variables to take some discrete values or values from a certain interval. This situation makes the search difficult.

In this paper, the problems of development of associations of territorial communities in the tourism direction of economic development are considered. The object of research is the improvement of territorial communities on the example of Ukraine. One of the most problematic places is the lack of funds for the development of existing large tourist complexes and the creation of new ones. The study uses the idea that tourism development has a direct stimulating effect on the development of a number of important economic sectors. The use of a mathematical apparatus is also considered, which allows to analyze the main factors influencing the development of the tourism industry of territorial communities. A comprehensive solution of economic, social and environmental issues of sustainable tourism development is impossible without the development of mathematical models and supporting tools that allow predicting the main indicators of sustainable tourism development. The paper considers PLS-PM modeling using such internal consistency criteria as Cronbach’s Alpha coefficient, Dillon-Goldstein coefficient ρ, model reliability, mean variance. The purpose of the PLS-PM model is to obtain estimates of latent variables for further forecasting procedures for the development of the system. The processes taking place in the tourism industry are characterized by a complex interaction of economic, environmental and social factors. Their influence should be taken into account for the implementation of the sustainable tourism development strategy. The analysis of the model was also carried out with the help of a single coefficient of quality of the correspondence of the data model, which characterizes the quality of the internal and external models of the system. Thanks to the listed tools, the statement is formed that the regulation of key factors of the tourism sector of the economic sector can have a positive impact on the development of national culture and economy in the united territorial communities. The created mathematical model clearly forms the conclusion that the development of tourism in local communities can become the engine of their sustainable economic development, given the available regional conditions.

This article examines the problems of the development of united territorial communities, in particular, unemployment and economic problems. The object of the research is the improvement of territorial communities on the example of the Lviv region (Ukraine). One of the most problematic areas is the fact that communities, in most cases, do not have enough funds to solve economic and other problems. The study uses the idea of the need to create self-sufficient communities with a sufficient number of financial instruments for their own development. The mathematical model of the decision support system for the development of territorial communities using the agro-industrial sector is also considered. An important step in building a mathematical model of the agro-industrial complex is taking into account the specifics of agriculture. The paper considers a mathematical model of linear and multifactorial regression, which describes the relationship between the amount of resources expended and the volume of output. Since the processes in the economy and production processes in agriculture are complex, it is difficult to describe them using only linear deterministic models. A common case is when task variables take some discrete values or values from a specific one. This situation makes the search difficult. To build a mathematical model for the development of territorial communities and study the fact that the development of agro-industry will improve the overall economic situation of the territorial community, correlation and regression analysis, the Farrar-Glauber method and the method of least squares are used. Thanks to the listed instruments, the statement is formed that the regulation of key factors of economic indicators of the agricultural sector can positively affect the growth of the economic component of territorial communities. The created mathematical model clearly forms the conclusion that agriculture in local communities can become an economic engine of community development, taking into account regional conditions.

No abstract

It is acknowledged that each person's life, group of people and nation is formed depending on geographical, economic, political, cultural and religious conditions. Lifestyle is formed as a result of daily repetition and consists of the following factors: nutrition, exercise, the presence of bad habits, moral and spiritual development, and so on. In recent decades, lifestyle has been considered an integral part of well-being, leading to increased research. According to the scientist's study, more than half of health problems are related to diet. Millions of people eat incorrectly and are not even aware of it. The actuality of the theme: there are many approaches to solving the problem of diet control, but it should be understood that different analogues offer different opportunities that are not always clear and convenient. It is because there are several ways to achieve the same goal. The need for research on healthy eating in modern conditions is one of the priority tasks to improve the physical condition of different age groups. The aim is to create a system that will be aimed at helping the end-user to follow a healthy diet by determining the composition and caloric content of the product and the formation of recommendations based on the appropriate rhythm of life. The system is designed to solve specific tasks: to recognize products, correlate the product and its caloric content, form a food diary, remind the user about missed meals and keep statistics.