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This article examines the comprehensive legal framework established in Uzbekistan to protectthe rights and interests of children, highlighting the country's commitment to aligning its nationallegislation with international norms. The study explores the various normative documents and policiesimplemented in Uzbekistan to ensure the protection of children's rights, including their right to life,health, dignity, and freedom from discrimination. Furthermore, the article discusses the integration ofinternational legal standards into national laws, demonstrating Uzbekistan's dedication to fulfilling itsinternational obligations. The research also analyzes the mechanisms employed by state and localauthorities to safeguard children's rights and promote their physical, intellectual, spiritual, and moraldevelopment. The findings underscore Uzbekistan's proactive approach in creating a robust legal systemthat prioritizes the well-being and development of children in the digital age.

This paper proposes several approaches as baselines to compute a shared active subspace for multivariate vector-valued functions. The goal is to minimize the deviation between the function evaluations on the original space and those on the reconstructed one. This is done either by manipulating the gradients or the symmetric positive (semi-)definite (SPD) matrices computed from the gradients of each component function so as to get a single structure common to all component functions. These approaches can be applied to any data irrespective of the underlying distribution unlike the existing vector-valued approach that is constrained to a normal distribution. We test the effectiveness of these methods on five optimization problems. The experiments show that, in general, the SPD-level methods are superior to the gradient-level ones, and are close to the vector-valued approach in the case of a normal distribution. Interestingly, in most cases it suffices to take the sum of the SPD matrices to identify the best shared active subspace.

In this article, the priority directions of technological modernization of agriculture, further improvement of management of agricultural machinery enterprises, increasing their efficiency and profitability, modernization of production in the field, technical and technological re-equipment, modern, high productivity for the agro-industrial complex, domestic and foreign markets organization of production of competitive machinery and equipment was considered.

In this article, the priority directions of technological modernization of agriculture, further improvement of management of agricultural machinery enterprises, increasing their efficiency and profitability, modernization of production in the field, technical and technological re-equipment, modern, high productivity for the agro-industrial complex, domestic and foreign markets organization of production of competitive machinery and equipment was considered.

This paper aims to analyze the antioxidant activity and phenolic content of cereal concentrates from corn and oat and to investigate issues related to import regulation. The phenolic composition was examined by liquid chromatography-high-resolution mass spectrometry, and the antioxidant activity was determined using the spectrophotometric method and expressed as µmol of Trolox equivalent antioxidant capacity per kg of extract. The cornmeal flour was found to contain almost twice as much phenolic compounds as the oatmeal flour, despite comparable antioxidant activity (range, 800-900 µmol Trolox kg-1 extract). The phenolic content of grain was 550-650 mg CE 100 g-1 extract; it was statistically lower compared to flour samples and statistically higher compared to cracker samples. The presence of 9 flavonoids and 4 phenolic acids was found in all tested samples of flour and crackers. The phenolic acids content of grain ranged from 380 to 3010 mg kg-1; most of them (up to 80-90%) were bound. The incidence of mycotoxins in positive samples (excluding grain) was as follows: 8%, patulin; 4%, nivalenol/deoxynivalenol; 34%, aflatoxins; 6%, zearalenone; 31%, ochratoxin A; 17%, fumonisins. The concentration ranged from 0.5 to 10 µg/kg. The present findings can be useful to optimize food formulations and improve product stability during transportation.

This descriptive study attempted to explore teaching styles by eliciting beliefs of a group of English language teachers through Peacock’s (Int J Appl Linguist 11:1–20, 2001) Perceptual Teaching Style Preference Questionnaire and interviews based on Reid’s hypotheses (TESOL Q 21:87–111, 1987; Learning styles in the ESL/EFL classroom. Boston: Heinle & Heinle, 1995) on learning styles and Doyle and Rutherford’s (Theory Pract 23:20–25, 1984) suggestions on matched instructional designs. The mixed methods research design was adopted in the current study, and concurrent triangulation was used to corroborate the findings. Study findings indicated that the participants reportedly applied the group teaching style more frequently than the other styles and favored a repertoire of the visual and auditory perceptual teaching styles. Although participants were mostly positive about the importance of learning styles, effects of perceptual teaching styles on learning, and the matched instructional design, they did not believe that their students were aware of their own learning styles and noted various curricular and administrative constraints in relation to implementation of the matched instruction. Consequently, the current study suggested that the language teachers and their line managers should consider effective planning and implementation of the entire teaching operation in relation to the matched instructional design in their classrooms. Also, it is recommended that as part of their professional development, the classroom practitioners are encouraged to explore their students’ “voices” and raise their learners’ awareness regarding their learning styles for more effective teaching–learning processes.

This article discusses the development of the tourism industry is directly related to the need to increase labor productivity in the industry and improve the efficiency of the use of human resources

This article discusses the development of the tourism industry is directly related to the need to increase labor productivity in the industry and improve the efficiency of the use of human resources

The purpose of this paper is to systematize and justify the factors for the effective implementation of digitalization to ensure the innovative development of agriculture in Azerbaijan. Based on the survey completed by 1,513 senior managers of agricultural enterprises in Azerbaijan, the key factors and barriers to digitalization of agriculture were substantiated: the cost of introducing and using digital technologies, unregulated legislative processes of digitalization of the industry, and the level of cybersecurity. The levels of development of digitalization of the country's agricultural sector have been determined and empirically substantiated the qualitative nature of the influence of digitalization factors on the innovative development of agricultural enterprises using the regression modeling method. The results obtained can help develop a state strategy for enhancing the digitalization of the country's agricultural sector to ensure its innovative development, food security, and diversifying the economy.

The purpose of this paper is to systematize and justify the factors for the effective implementation of digitalization to ensure the innovative development of agriculture in Azerbaijan. Based on the survey completed by 1,513 senior managers of agricultural enterprises in Azerbaijan, the key factors and barriers to digitalization of agriculture were substantiated: the cost of introducing and using digital technologies, unregulated legislative processes of digitalization of the industry, and the level of cybersecurity. The levels of development of digitalization of the country's agricultural sector have been determined and empirically substantiated the qualitative nature of the influence of digitalization factors on the innovative development of agricultural enterprises using the regression modeling method. The results obtained can help develop a state strategy for enhancing the digitalization of the country's agricultural sector to ensure its innovative development, food security, and diversifying the economy.

Manufacturing enterprises of the textile and light industry of Uzbekistan are a large diversified production complex with a high level of equipment. These enterprises are able to supply a wide range of products to foreign markets, from yarns to finished products. Modern design and high quality indicators ensure the competitiveness of products and allow them to take their rightful place in the international market

This article discusses the formation of mathematical imagination of primary school students using game technology, the introduction of new information technologies in education, and so on.

The article examines the importance of developing small business and private entrepreneurship in Uzbekistan, shortcomings in the organization of marketing activities and ways to overcome them.

This article examines the effectiveness of the organization of marketing research, orienting the activities of each unit to achieve maximum results. Strong competition in international trade requires companies to make decisions based on the principles of international marketing, the formation of modern international marketing research.

To read and analyze the literature on the topic. To experimentally determine whether the colors in fruit juices are natural or artificial. To analyze the results and draw conclusions.

The article examines the model of a linear city with exogenous Stackelberg competition between two firms. In this model, at low transport costs, firms in equilibrium are located at one point in the center of the market, while the profit of the leader firm is twice the profit of the follower firm, the price is minimal, and the quantity of products supplied is maximal at the point where the firms are located. At higher transport costs, firms differentiate, and the market, as it were, splits into two “submarkets”: the leader firm sells the bulk of production near its location, and the follower company sells the bulk of its products, while the profit of the leader firm exceeds the profit of the follower firm by less than twice, the price is always minimal at the point of location of the leading firm. With an increase in transport costs, the quantities of products supplied by firms decrease, and the price rises.

Manufacturing enterprises of the textile and light industry of Uzbekistan are a large diversified production complex with a high level of equipment. These enterprises are able to supply a wide range of products to foreign markets, from yarns to finished products. Modern design and high quality indicators ensure the competitiveness of products and allow them to take their rightful place in the international market

This article explains the essence of the term management and explains the principles of management of pedagogical processes in higher education institutions

The article examines the importance of developing small business and private entrepreneurship in Uzbekistan, shortcomings in the organization of marketing activities and ways to overcome them.

This article discusses observation in marketing research. Research is a method of collecting primary marketing information about the object under study by observing selected groups of people, actions and situations. At the same time, the researcher directly perceives and registers all factors related to the studied object and significant from the point of view of the research objectives.

This article discusses the formation of mathematical imagination of primary school students using game technology, the introduction of new information technologies in education, and so on.

Today, the global digital economy is evolving day by day. In particular, the digital economy has penetrated into all sectors. We are making our lives easier with IT and the digital economy. This article discusses what the digital economy is and why we need it.

The article considers the influence of internet marketing in the developing of enterprises and  increase the enterprises competitive and efficacy. Given the  advantages and role  of internet marketing in communicate with consumers.

Nowadays, any organization recognizes the importance and necessity of using marketing in the management system. The use of marketing allows us to better meet the requirements of customers, and also contributes to quick adaptation to changes in the market for services and goods.

The article discusses the problems of investing innovative processes in the national economy of Uzbekistan. In particular, the author analyzed the current state of investment in the innovative development of the national economy, assessed the practice of stimulating innovation and investment activity in Uzbekistan, developed scientific recommendations to increase investment and innovation activity in the sectors of the economy.

This article examines the development of consulting services to achieve high growth rates, macroeconomic balance, modernization and diversification of the economy in the process of economic development and effective activity in market relations. The role of foreign consulting firms for improving the consulting services market in Uzbekistan is also considered.

This article is aimed at determining the features of the organization of marketing activities in the construction industry. The authors drew attention to two aspects of marketing activities, that is, the marketing department as part of the market participants and the segmentation of the construction market.

To read and analyze the literature on the topic. To experimentally determine whether the colors in fruit juices are natural or artificial. To analyze the results and draw conclusions.

This article discusses observation in marketing research. Research is a method of collecting primary marketing information about the object under study by observing selected groups of people, actions and situations. At the same time, the researcher directly perceives and registers all factors related to the studied object and significant from the point of view of the research objectives.

This article discusses the formation of mathematical imagination of primary school students using game technology, the introduction of new information technologies in education, and so on.

Today, the global digital economy is evolving day by day. In particular, the digital economy has penetrated into all sectors. We are making our lives easier with IT and the digital economy. This article discusses what the digital economy is and why we need it.

This article discusses observation in marketing research. Research is a method of collecting primary marketing information about the object under study by observing selected groups of people, actions and situations. At the same time, the researcher directly perceives and registers all factors related to the studied object and significant from the point of view of the research objectives.

This article discusses the formation of mathematical imagination of primary school students using game technology, the introduction of new information technologies in education, and so on.

Today, the global digital economy is evolving day by day. In particular, the digital economy has penetrated into all sectors. We are making our lives easier with IT and the digital economy. This article discusses what the digital economy is and why we need it.

The article considers the influence of internet marketing in the developing of enterprises and  increase the enterprises competitive and efficacy. Given the  advantages and role  of internet marketing in communicate with consumers.

The article considers the influence of internet marketing in the developing of enterprises and  increase the enterprises competitive and efficacy. Given the  advantages and role  of internet marketing in communicate with consumers.

Nowadays, any organization recognizes the importance and necessity of using marketing in the management system. The use of marketing allows us to better meet the requirements of customers, and also contributes to quick adaptation to changes in the market for services and goods.

The article discusses the problems of investing innovative processes in the national economy of Uzbekistan. In particular, the author analyzed the current state of investment in the innovative development of the national economy, assessed the practice of stimulating innovation and investment activity in Uzbekistan, developed scientific recommendations to increase investment and innovation activity in the sectors of the economy.

Nowadays, any organization recognizes the importance and necessity of using marketing in the management system. The use of marketing allows us to better meet the requirements of customers, and also contributes to quick adaptation to changes in the market for services and goods.

The article discusses the problems of investing innovative processes in the national economy of Uzbekistan. In particular, the author analyzed the current state of investment in the innovative development of the national economy, assessed the practice of stimulating innovation and investment activity in Uzbekistan, developed scientific recommendations to increase investment and innovation activity in the sectors of the economy.

This article examines the development of consulting services to achieve high growth rates, macroeconomic balance, modernization and diversification of the economy in the process of economic development and effective activity in market relations. The role of foreign consulting firms for improving the consulting services market in Uzbekistan is also considered.

This article is aimed at determining the features of the organization of marketing activities in the construction industry. The authors drew attention to two aspects of marketing activities, that is, the marketing department as part of the market participants and the segmentation of the construction market.

The article discusses the problems of investing innovative processes in the national economy of Uzbekistan. In particular, the author analyzed the current state of investment in the innovative development of the national economy, assessed the practice of stimulating innovation and investment activity in Uzbekistan, developed scientific recommendations to increase investment and innovation activity in the sectors of the economy.

This article is aimed at determining the features of the organization of marketing activities in the construction industry. The authors drew attention to two aspects of marketing activities, that is, the marketing department as part of the market participants and the segmentation of the construction market.

This article examines the development of consulting services to achieve high growth rates, macroeconomic balance, modernization and diversification of the economy in the process of economic development and effective activity in market relations. The role of foreign consulting firms for improving the consulting services market in Uzbekistan is also considered.

Nowadays, any organization recognizes the importance and necessity of using marketing in the management system. The use of marketing allows us to better meet the requirements of customers, and also contributes to quick adaptation to changes in the market for services and goods.

This article examines the development of consulting services to achieve high growth rates, macroeconomic balance, modernization and diversification of the economy in the process of economic development and effective activity in market relations. The role of foreign consulting firms for improving the consulting services market in Uzbekistan is also considered.

To read and analyze the literature on the topic. To experimentally determine whether the colors in fruit juices are natural or artificial. To analyze the results and draw conclusions.

Manufacturing enterprises of the textile and light industry of Uzbekistan are a large diversified production complex with a high level of equipment. These enterprises are able to supply a wide range of products to foreign markets, from yarns to finished products. Modern design and high quality indicators ensure the competitiveness of products and allow them to take their rightful place in the international market