The paper proposes to the development of methods for assessing the level of current and voltage asymmetry in three-phase electrical networks. The main direction of research in this work is the creation of a simple hardware-oriented method for extracting symmetrical components from an asymmetric three-phase system of vectors. The paper proposes a new algorithm for digital signal processing of a three-phase system of voltages and/or currents, which makes it possible to implement the function of a digital filter of symmetrical components. The algorithm is based on the results of synchronous measurements of instantaneous voltages and/or currents. There is no need in the algorithm to determine the angular ratios of the three-phase system vectors. In addition, the algorithm is freed from the need to use complex numbers when calculating symmetric components. The result of the algorithm is oscillograms of symmetrical components, presented as sets of discrete samples. The algorithm is based on the simplest arithmetic operations with instantaneous values of synchronously measured parameters of a three-phase system. The proposed algorithm makes it possible to reduce the requirements for the computing power of measuring instruments without losing the accuracy of estimating the vectors of symmetrical components. The algorithm can be used to implement on its basis digital filters of pozitive, negative or zero-sequence voltages and/or currents.

The digital transformation of the world economy has become the reason for the accelerated development of innovative technologies that ensure the uninterrupted operation of business processes of large technology companies whose activities are focused on the creation of these same technologies, and commercial banks that act as the main consumers of innovations in the field of IT. This process is most actively observed in the sphere of economics and finance. Under its influence, truly tectonic shifts take place, leading to the formation of fundamentally new institutions. Today, one of these are economic and financial ecosystems. Over the past few years, Russian companies from these industries have embarked on the path of creating digital ecosystems to enable horizontal, vertical and conglomerate expansion of their activities in order to maximize financial results. The technologies used by companies allow creating unified and interconnected economic systems within the organization and its partners, which leads to the emergence of a unique economic and financial ecosystem.

The relevance of the research topic is due to the need to revise the indicators that influence the formation and development of human potential, their additions and extensions based on large-scale digitalization and high technology of modern society. Based on the analysis of the available scientific literature, the article considers the factors of influence on the formation and development of human potential as the basis of the modern economy. The analysis of the essence of the concept of «innovative person» is carried out, the problems of the conceptual and categorical apparatus of interpretation of this definition and its content are revealed. Four groups of factors have been formed depending on the age period, and «predestining» factors – «macrofactors» – have been identified, their characteristics and content are presented. A mathematical analysis of the interdependence of the components of the human development index is carried out, on the basis of which the necessity of introducing the concept of «scientific potential index» is justified, the author’s method of its calculation is developed and proposed.

The article analyzes the modern formation of the ecosystem, in particular, presents the dynamics of Internet users in Russia and mobile devices with Internet access, examines data characterizing the use of remote service channels in Russia and calculates the share of users of digital banking channels in Russia, identifies rating indicators Internet banking systems for individuals. The authors concluded that customers received services that significantly increase the convenience of using banking services; the number of clients using remote service systems is growing, which allows to reduce the number of bank branches and reduce operating costs without the risk of reducing the client base.

At the present stage of the cultural development of Russian citizens, a transition from the position of sharply negative criticism of economic methods and the results of their application by the USSR to a more loyal, and sometimes approving view of some positive effects from their application, is characteristic. The author drew a parallel between the electric power system in the early stages of the existence of the USSR and the digital economy at the present stage of Russia’s development, which made it possible to substantiate the correctness of the state’s position regarding investment in the innovative digital sphere as a necessary part of interaction with the global digital economy. Comprehensive author’s study of the problem of digitalization development. Presentation of the author’s study of analogies in the development of large-scale government projects. In the process of writing the article, economic, statistical, logical and other methods of studying, processing and summarizing information were used due to specific goals and objectives. As a result, the general principles characteristic of both projects during implementation and further functioning are presented. The choice of the pole of development is made by the state, as it has logistical, financial, and most importantly administrative capabilities that become tools and infrastructure for the implementation of projects. In the case of both GOELRO and digitalization, the development vector is set by the state, and additional resources are drawn to it in the form of commercial structures. Both projects described above are characterized by general principles for implementation and further functioning.

The article provides an assessment of the impact of digitalization of the financial sector on the effectiveness of regional economic systems. The authors put the methodology based on the materials of the Skolkovo study «Digital ,,Russia Index” for the subjects of the Russian Federation» as the basis of the assessment methodology. The directions of increasing the role of digitalization of financial sectors in the development of regions are identified, an assessment of infrastructure readiness for «total» digitalization is presented, an assessment of the economic feasibility of introducing digital services into the financial and real sectors of the regional economy is presented. A prerequisite for successful interaction between a company and a financial institution is digital compatibility (especially in an ecosystem).

The article points to the consequences for the institutional transformations that took place in the agrarian sector of the southern part of RF from 2010 to 2020. It reflects the results in mastering the provisions of the federal law «On Technical Regulation» in agriculture and also characterizes the problems associated with the implementation of state support programs for agricultural producers in the southern Russian regions within a 10-year period.

The article analyzes the dynamics of indicators of innovation activity of small and medium-sized businesses in the conditions of digitalization of the economy. The analytical data of the state support of innovative processes of small and medium-sized businesses, consisting in subsidizing their activities, including those aimed at the formation of digital culture in the country, are presented. According to the results of the study, the elements of the innovation process of small and medium-sized businesses are reflected as an object of transformation of the basic concept of the innovation process of companies.

The article analyzes scientific approaches to the definition of the essence of profitability, defines the importance of profitability in the activity of companies. A brief sketch of the state of the Russian dairy industry in recent years is given, and the tendencies of the branch development are defined. The role of production modernization as a key factor in increasing the profitability of dairy industry enterprises is determined. A comparative economic analysis of the profitability indices of large enterprises of the dairy industry and dairy products production is carried out. The correlation between the growth of profitability and capital expenditures on the automation of dairy production is established. Recommendations on the use of various profitability multipliers are given.

The article discusses the main approaches to the process of digital transformation of organizations, demarcates the concept of «ecosystem», presents an algorithm for the transition from the classical model of an organization to an ecosystem, and provides a conditional example of building an organization’s ecosystem structure. The purpose of the work is to identify the main trends and prospects for the use of digital technologies in an innovative environment. The authors highlight the elements of digital ecosystems of organizations, systematize the factors that increase the growth of banks’ interest in the formation of ecosystems. It is concluded that in connection with the development of digital technologies and the growing competition of banking institutions, it became necessary to constantly develop this system, continuously improving it and adding new opportunities provided by remote banking channels. These events provide new perspectives for the development of the digital innovation environment.

The current development of the world is conditioned by the processes that take place in developing countries. East Asia today is the central link in the economic growth of the modern world economy. The further development of China is very relevant, since the state is a powerful pole of the world economy, and also claims political leadership. The article considers the current situation of the PRC, studies the results of the development of the country’s leading industries, analyzes the dynamics of real GDP and other macroeconomic indicators for 2016-2021, identifies the problems and advantages of the state, and identifies the reasons for the interaction between Russia and China.

The study is devoted to the analysis of the US and Russian oil markets, as well as the study of the impact of the cost of oil on the international market on the process of recovery of national economies. The article examines the reaction of the subjects of the world economy to the level of oil quotations that have developed on the international oil market against the background of increasing demand for energy resources. The leaders of oil production have been identified, Russia’s place in the world oil production volume has been established. The state of the US national oil reserves and the impact of high commodity prices on the US economy are analyzed, the threat of stagflation is highlighted. The Russian oil market, oil exports abroad, as well as the consequences of the high cost of oil for the Russian economy are studied.

The current problem of import substitution is being raised. The top 10 regions of the Russian Federation in terms of the number of imported goods and the top 5 exporters of vegetables in the Russian Federation are given. The influence of changes in the foreign policy situation and the epidemiological situation on the import substitution of vegetable products and greens is considered. The necessity of import substitution of greenery and the potential in the market of agricultural crops is assessed. It is proposed to network retail stores to launch and establish agricultural production of greenery under their own trademarks on the basis of vertical hydroponic farms.

The purpose of the work is the improvement and industry specification of competitive analysis methods with the identification of the complexities and weaknesses of traditional tools and their modification to level these shortcomings. The work uses modern methods and tools of competitive analysis, based, among other things, on statistical evaluation methods and a comparative approach. The information base was made up of EMISS data and organizations of specific industries and markets, including open data, website information and financial reporting. The results of the study represent an assessment of competitiveness and competition in individual markets, a demonstration, systematization and testing of industry-specific features of applying traditional methods for analyzing the competitive environment. Further research in this area, according to the authors, should continue the processes of systematization of special indicators, methods and information databases for evaluating competitors in various industry markets, their development and the formation of evaluation templates for larger studies.

In modern economic conditions, an enterprise positioning itself as innovative and actively using various kinds of innovations in its activities, faces a number of problems during their implementation, depending on many factors and requiring immediate solutions. It will be possible to maintain its position only with the help of constant improvements – improvement of personnel training programs for the development of innovative production. It is shown that enterprises need to actively use various kinds of technologies in order to create goods of proper quality and thereby fully meet the needs of consumers. The use of innovations gives enterprises superiority over competitors, which allows them to be more competitive in the modern economic space.

The essence of the shadow economy is considered, the main causes of its occurrence, including those formed in the conditions of digitalization of the economy, the negative consequences of its influence on the economic development of the country are named. Special attention is paid to the Russian shadow economy. The study analyzed the dynamics of the number of people employed in the informal sector and the unemployment rate, as well as the volume of questionable transactions in the banking sector, which revealed some patterns. The sectors of the economy that form the demand for shadow services are considered. The problem of the shadow economy in the regions is touched upon separately. Together, this allowed us to form a general idea of the scale of the Russian shadow economy and propose measures to combat this phenomenon.

The article analyzes the regional experience in the development of industrial infrastructure through the creation of industrial parks and industrial technology parks. The geography of investments in infrastructure facilities is presented, the most attractive types of economic activity for investors are identified, and the cross-country distribution of investments in Russian industrial parks is studied. The analysis carried out made it possible to identify spatial unevenness in the distribution of industrial infrastructure facilities across regions. The experience of the Republic of Bashkortostan in the creation of industrial parks and technology parks is considered in detail. On the example of the Republic of Bashkortostan, proposals are formulated to improve the system of personnel training. Proposals have been formulated to improve the regional industrial policy in terms of the creation and development of industrial infrastructure facilities.

The purpose of the article is to determine the prospects for the further development of small enterprises in the Karachay-Cherkess Republic. It was determined that, in general, the number of small enterprises remains stable, but at the same time, the number of micro-enterprises in the region has significantly decreased in 2021. The concentration from the point of view of administrative division is significant, since 59,6 % of small businesses are located in the Cherkessky urban region. While the number of people hired by small businesses remains the same, there is an annual decrease in turnover, which indicates the likely further degradation of the group of small businesses. A typical problem for the most important industries in which small businesses operate is precisely the constant decline in turnover. Recommendations for further stimulating the development of small companies are presented

A systematic analysis of the state of youth entrepreneurship in Russia and the North Caucasus Federal District, the prospects for its development was carried out. The reasons that prevent graduates from deciding to open their own business are investigated, with an emphasis on the problems that have arisen in the context of pandemic restrictions. The importance of implementing measures aimed at restoring the growth rate of the Russian economy is shown. The main principles of policy in the field of regulation of youth business are identified, taking into account the digital economy and the coronavirus pandemic. For the effective implementation of the planned, it is necessary to significantly change the strategic approach to the system of youth entrepreneurship and measures to stimulate it, move from targeted selective assistance to long-term support measures for businesses created by young people and its development at each stage of the life cycle, taking into account the sectoral characteristics of business in various industries economy.

The shift in the focus of attention from the process of forming organizational culture to maximizing the level of its development is due to causal factors that affect the efficiency, competitiveness and success of modern organizations. A powerful motivator for the prosperity of successful companies is rightfully recognized as their culture. If you do not deal with issues of corporate culture in accordance with the requirements of modern economics and management, this will lead to a decrease in the image, weakening business attractiveness and loss of rating positions

Agriculture in the Stavropol Territory is one of the main branches of the economy, actively replenishing budgets of all levels. Local farmers ensure food security not only in the region, but also in the country, producing high-quality products. The agro-industrial complex of the Stavropol Territory has noticeably felt the impact of the COVID-19 pandemic. By the end of 2020, there was a sharp reduction in the volume of crop production, with a slight increase in the cost of livestock products. The analytical data of the article reveal all the features of farming in the pre-pandemic and post-pandemic period. The analysis of the situation in the agro-industrial complex of the region should include four stages, each of them plays its own specific important role in the entire study.

Some approaches to the formation of competence in the field of life safety among students of higher educational institutions are considered. The elements of the activity approach used to form students competence in the study of individual sections of the course «Life Safety» are given. It is shown that the activity approach, including the participation of students in the Olympiad movement, contributes to the active formation of universal and professional competencies. The features and objectives of the Olympiad on life safety (II round of the All-Russian Student Olympiad on Life Safety) at the regional level are presented. Examples of tasks of various forms are given. Some features of the Olympiad in remote form are analyzed.

The purpose of the article is to present the main ideas and concepts of «University 360», implemented as a part of the digital transformation track of the university. It is a part of the North-Eastern Federal University’s Digital Ecosystem strategic development program. Tangible forecast results of the project «University 360» for the domestic system of higher education: a significant increase in the contingent of students; creation of fundamentally new systems for supporting and implementing individual educational trajectories for the development of students; ensuring the quality of higher education by creating conditions for personalization and customization of training; the inclusion of fundamental higher education in the human life cycle circuit; maximizing the potential of students.

The article discusses the development of social competence of adolescents in conjunction with the processes of socialization. The socialization of modern teenagers is revealed taking into account the characteristics of the «digital generation» and the influence of the dual environment (real society and digital space). The author substantiates the importance of the level of development of social competence for the successful socialization of the younger generation, analyzes domestic approaches to understanding the social competence of adolescents, puts forward an assumption about its structure (reflexive component, value component, activity component). In conclusion, the problematic field of developing the social competence of the younger generation in modern conditions is outlined.

The paper discusses teaching Czech language to Russian speaking adolescent learners. The article is based on a research which focuses on the learners´ subjective perception of their second language acquisition. The topic, i. e. subjective perception of Czech language acquisition, has not been researched in detail yet. In our opinion, the topic is important, though, as the learner´s subjective perception strongly affects the success of teaching. The research findings are based on semi-structured in-depth interviews with Russian speaking learners. The crucial findings are as follows: low metacognition among adolescent learners, predominantly passive approach towards second language acquisition and (subjectively perceived) demanding nature of oral language skills. At the end of the article some general didactic suggestions are offered.

The article raises the problems of the formation and development of inclusive education in domestic practice. The author analyzes the advantages, risks and difficulties of implementing the ideas of inclusive education. The problems characteristic of the domestic practice of inclusive education are considered in detail, ways of minimizing them are determined through the competent organization of the activities of teachers to create an inclusive educational environment. A detailed description of the readiness of teachers to work in the context of inclusive education is given, its main structural components (semantic, knowledge, practical, personal) are distinguished. Psychological and pedagogical conditions for the formation of inclusive readiness of teachers are proposed.

The article outlines the problem of the teacher’s professional readiness in the context of strengthening the multicultural factor in the educational space of the region. The results of an empirical study of the positions of teachers regarding the implementation of their professional tasks in an ethnically heterogeneous educational environment are presented, taking into account the imperative significance of the processes of positive socialization and individualization of students. Identification of some aspects of professional readiness and deficiencies was carried out on the basis of a survey of teaching staff of educational organizations of the Stavropol Territory, whose professional activities take place in a situation of steady growth in the ethnocultural heterogeneity of children’s educational teams.

The article defines the scientific and theoretical foundations of the student’s physical education and the system of classes in a special medical group (SMG). The authors made an attempt to integrate into the educational process in physical education, students of a special medical group, the process of organizing recreational walking classes. In the course of the research, it was confirmed that the use of health-improving walking is a universal remedy, increasing the efficiency of the educational process, improving the methods of conducting classes and increasing aerobic exercises that contribute to the prevention of students’ diseases. The paper gives recommendations on the organization of recreational walking classes for students of a special medical group.

The article deals with the concepts of «value», «value attitude», «value attitude to the profession». The classification of values on the basis of «attitude to the profession» is presented. The stages of formation of a value attitude to the profession are singled out. The characteristics of the factors influencing the formation of a value attitude to professional activity are given. The relationship between the concepts of «value attitude to the profession» and «patriotism» is determined. The analysis of the concept of «professional patriotism» is carried out. It is concluded that in educational institutions of higher and secondary vocational education, insufficient attention is paid to the problem of forming a value attitude to the profession received.

Theorization of the foundations of project activities in the structure of teaching technical disciplines at a university is a system, process and product of managing the quality of personality development in the structure of lifelong education. The integrity of the ideas of scientific research and scientific theorization, construction, clarification and implementation of ideas of project activities in the structure of teaching technical disciplines at the university is of interest from the standpoint of ensuring the quality of the student’s inclusion in the process of productive self-expression and cooperation, self-organization of orientation and technological effectiveness of the implementation of ideas of humanistic and creative activity potential personality development in the system of continuous education. The components of theorization of the fundamentals of project activities in the structure of teaching technical disciplines at a university can be specified in a broad, narrow and local sense (classical pedagogy), personified, unified, multifunctional and other senses (innovative pedagogy). The definition and use of ideas and technologies of classical and innovative modeling in theorization and technologization of project activities in the structure of teaching technical disciplines at a university determine the prospects for ensuring the quality of personality development in the system of continuous engineering and construction education and a high potential for self-organization of the quality of the formed values of productivity, creativity, flexibility, competitiveness.