Methods Of Mathematical Statistics Research Articles

Математические модели поддержки управленческих решений по снижению уровня пожарной опасности в административно-территориальных единицах Вьетнама

Purpose. The article classifies and analyzes significant factors affecting fire situation and fire risks in the administrativeterritorial units (ATUs) of Vietnam from 2019 to 2022. Based on this data, mathematical models have been developed to show the relationship between fire risks and influencing factors. Optimal managerial decisions have been formulated to reduce fire risks and the level of fire hazard in Vietnam's ATUs based on the obtained models. Methods. Methods of mathematical statistics, systems analysis, and mathematical modeling were used. Findings. The study analyzed statistical data and developed three multiple regression mathematical models showing the dependence of fire risks on significant factors. Research application field. The results of the study can be used to support managerial decisions to ensure fire safety in Vietnam. Conclusions. The analysis of various significant and less significant factors affecting fire situation draws attention to specialists in fire prevention. The developed mathematical models have a sufficiently high level of adequacy and significance. The application of the managerial decisions derived from these models had a positive impact on reducing fire risks and the level of fire hazard in ATUs. Specifically, the risk of human fatalities in fires (Rf) decreased by 22.1%, the risk of injuries from fires (Ri) decreased by 14%, and the risk of direct fire damage (Rd) decreased by 16.1%. The obtained research results enable the improvement of managerial decisions in fire safety operations and reduce fire hazard levels across the country's territories.

FACTORS AFFECTING THE EFFECTIVE ACTIVITY OF A COACH IN CYBER SPORTS

Introduction. A coach in professional gaming plays a major role in the preparation of his team. His professional activity makes quite serious demands, including the availability of a wide range of skills and knowledge. There is a need to study the professional activity of an esports coach, which will improve the quality and effectiveness of the educational and training process. The aim of the study is to improve the quality and efficiency of the professional activity of eSports coaches by determining the factors affecting its effectiveness. Materials and methods: analysis of scientific and methodical literature and Internet data; poll; method of expert evaluations; methods of mathematical statistics. Results. The conducted scientific research made it possible to establish the factors that hinder the formation of professional competence of future eSports coaches. Lack of standards and certification (20 points), uncertainty about employment in the field of eSports (29 points) and low recognition (44 points) were among the biggest difficulties for coaches. Ethical factors (89 points), psychological burnout (98 points), and difficulties with mastering new technologies in the specified field (107 points) were identified by the eSports coaches as the least influential. The factors that allow ensuring a high-quality educational and training process in e-sports were determined. They include: the presence of an innovative technical base and sufficient space for the training process; providing psychological support for coaches; access to a rational and stable budget; availability of motivation and the opportunity to improve the qualifications of eSports coaches; regular technical support to solve possible problems with hardware or software; constant cooperation with other specialists; ensuring effective team management, including quality communication, conflict resolution, etc. Conclusions. It was found that the set of professional and pedagogical qualities of eSports coaches contains a considerable list of specific knowledge and skills. The experts identified the factors that allow ensuring a high-quality educational and training process in eSports.

Influence of elective disciplineson physical fitness and somatic health of students

The aim of the study is to assess the impact of classes within the framework of the discipline "Elective disciplines in physical education and sports" on physical fitness and somatic health of students. Methodology: 300 students participated in the study. Research methods: study, analysis, comparison of scientific and methodological literature data on the studied problem of domestic and foreign scientists, testing of physical qualities, the index method, functional tests, methods of mathematical statistics. The results of our research allow us to assert that practicing one type of motor activity within the framework of the subject does not allow us to realize most of the tasks that must be solved in the course of classes in this discipline. Such classes do not have a comprehensive impact on physical fitness, unlike academic physical education classes, which include various sports. In this regard, we recommend considering the possibility of applying individual programs for self-organization of students' motor modes in the educational space of the university. Conclusion. Our study showed that one academic lesson per week does not significantly affect the physical fitness of students, but at the same time contributes to a significant improvement in the level of health in most experimental groups.

FUNCTIONAL CAPABILITIES OF HIGHLY QUALIFIED FEMALE HANDBALL PLAYERS IN THE PREPARATORY PERIOD OF TRAINING

Introduction. Handball as a sport is constantly evolving, demanding from female athletes an enhancement of physical and technical skills, which underscores the need for research into their functional capabilities. Understanding the physiological characteristics of female handball players enables effective planning of the training process, ensuring an optimal combination of endurance, strength, and speed. Identifying the optimal methods of preparing highly skilled handball players is key to increasing their competitiveness at the national and international levels. The preparatory period is crucial for developing the physical condition of the athletes, which directly affects their performance during competitive activities. The relevance of this research is also driven by the growing interest in women's handball and the need to develop specific approaches to training women's teams, taking into account their physiological and psychological characteristics. Aim is to investigate the functional state of handball players during the preparatory period of the stage of maximum realization of individual possibilities. Research material and methods. Material and methods. The study involved athletes of the main squad and reserves of the handball club "Halychanka" in Lviv. The methods included analysis of literary sources and the World Wide Web, pedagogical observation, pedagogical testing, a method of multifactorial express diagnostics of functional readiness, content analysis, meta-analysis, and methods of mathematical statistics.. Results. A significant decrease in the V3R index, which reflects the anaerobic creatine phosphate mechanism of energy supply, was found to be 7.84 units below the established standards. This indicates a limited ability to rapidly mobilize energy in the muscles of handball players, which is critical for short-term high-intensity loads. The average indicators of the anaerobic glycolytic energy supply mechanism were 3.1 units lower than the norm, suggesting less efficient use of muscle glycogen for rapid energy acquisition during medium-duration physical efforts. The assessment of the anaerobic lactate mechanism revealed that it was low in 20% of the handball players and below average in 52%, showing only a medium level in 26% of the participants. This demonstrates variability in the athletes' ability to manage the lactate threshold, which is important for long-term endurance. The index of aerobic energy supply was also found to be 1.33 units below the norm, indicating potential deficiencies in long-term energy supply through aerobic metabolism. Conclusions. A balanced approach to training is key to optimizing the sports results of handball players.

A favorable period for the development of endurance in schoolchildren aged 7-18 years

The aim of the study is to study the sensitive periods of endurance formation in school-age children. Methods: The pedagogical experiment was organized at secondary school 60, Kirov city in Russia in the period from September 2022 to May 2023. The study involved 578 boys and 637 girls who were admitted by doctors to physical education classes at school. All children took the Cooper control test for 6 minutes at the beginning and at the end of the experiment. Physical education classes were held according to the standard program under the work of physical education teachers. The study used methods of mathematical statistics, the Student's T-test, the reliability was determined at p>0.05. Results: After the end of the pedagogical experiment, the students' performance improved on average in all classes. However, the improvement was uneven. Thus, the high increase in endurance was among schoolchildren from grade 2, grades 8-11 for boys, the indicators improved from 12 to 16% (p<0.05). The indicators improved by 12-15% (p<0.05) in girls from grades 2, from grades 9-11. Conclusions: As a result of the experiment, we can say that the sensitive period for the development of endurance in girls is the age of 8-9 years, 15-18 years, and in boys 8-9 years and 14-18 years. It should be noted that there is a high increase in endurance indicators in children aged 10-11 years. The results of the study make it possible to adjust the educational process in schools and improve the training process in various sports for children aged 7-18 years.

Motivational and value-based attitude of law enforcement officers to motor activity as a factor of a healthy lifestyle.

Aim: To study the attitude of law enforcement officers to motor activity and investigate its impact on their health. Materials and Methods: The research, which was conducted in 2022-2024, involved 163 law enforcement officers under the age of 30. Research methods: bibliosemantic, questionnaire, testing, medical and biological methods, methods of mathematical statistics. Results: It has been found that the vast majority of law enforcement officers (85.3 %) understand the importance of motor activity as a factor of a healthy lifestyle, its impact on physical and mental health, and quality of their professional activities. At the same time, only 27.6 % of law enforcement officers systematically engage in motor activity, 52.8 % do it sporadically, and 25.8 % do not engage in it at all. Among the reasons that prevent them from exercising are lack of time (65.6 %), lack of desire (31.3 %), and fatigue after a service day (28.1 %). It has been found that law enforcement officers who systematically engage in motor activity have a significantly better level of health (7.31 points) compared to those who engage in occasional motor activity (5.07 points) and do not engage at all (2.19 points). Conclusions: The positive impact of motor activity on the level of health of law enforcement officers has been proved. Good health is a guarantee of high resistance of law enforcement officers to negative factors of professional activities, professional longevity, and quality of their professional tasks.

Peculiarities of physical therapy of chronic obstructive pulmonary disease: practical experience.

Aim: The aim of the study is todetermine the feasibility of using a home pulmonary rehabilitation program and evaluate its impact on patients with COPD in the GOLD B group. Materials and Methods: The study was conducted on the basis of the «Healthy Movements» studio (Poltava). Patients were involved in the study after receiving secondary (specialized) medical care, the basis of which was physical therapy treatment and exercise therapy in accordance with the clinical protocol approved by the internal order of the health care institution. A total of 30 people (aged 59 to 68.4 years) with II degree chronic obstructive pulmonary disease (50 % ≤ FEV1 < 80 % of normal) in remission took part in the study. Research methods: pedagogical, medical and biological , methods of mathematical statistics. Results: Each patient confirmed the achievement of the general goal, namely, increasing the number of therapeutic exercises from 3 to 5 times a week, improving the quality of life, more active participation in improving their health and awareness of the disease. The patients considered self-management training to be the most valuable. Conclusions: Pulmonary rehabilitation is indicated for all patients, regardless of the degree of the disease. The most ef f ective are 6-12 week programs that include breathing exercises, self-management training and training of the patient's environment, strengthening exercises, psychological support, diet therapy.

Parameters of a combined plow rotor for the climatic conditions of the Bukhara region

In this article, pretreatment of the soil in Bukhara includes simultaneous softening, compaction and crushing of plant residues. As a result, the movement of agricultural machinery in the field is reduced, and the compaction of the subsurface layer is reduced by 5-7 times. For this purpose, the installation and grounding of an additional rotary mill assembly to the fork body is described. Pre-sowing processing consists in the justification of constructive and technological parameters and modes of operation of the crop-milling aggregate, which improve the quality and reduce the tensile resistance. Theoretical studies were carried out using the laws of mathematical analysis and theoretical mechanics. Multi-factor experiment planning methods have been used to conduct experimental research. The results of the study were processed using the methods of Mathematical Statistics.

PROFESSIONAL DEVELOPMENT OF TEACHERS OF NATURAL AND MATHEMATICAL EDUCATION AND TECHNOLOGIES IN THE DIGITAL EDUCATIONAL ENVIRONMENT

The article is devoted to the consideration of the problem of teachers’ professional development in the fields of natural, mathematics, technology, and informatics. The purpose of the article is to substantiate the information and educational environment as a condition for the professional development of teachers of science and mathematics education and technology in Ukraine. Research methods: theoretical (analysis, synthesis, systematization; generalization, comparison); empirical (observation, online questionnaires); methods of mathematical statistics. Special attention is paid to the results of the online survey of teachers on the topic «The using of information and educational environment». 64 teachers took part in the survey. It was established that teachers consider «quality of content» and «availability of resources» to be the factors affecting the effectiveness of the information and educational environment of postgraduate pedagogical education. The main functions of the informational and educational environment of postgraduate education for teachers include providing access to relevant educational and methodological resources, creating distance learning programs, and providing examples of lessons and master classes. It was found that the content of the informational and educational environment reflects the ideas of people-centeredness, ensures the realization of the paradigm of equal access to quality education, and is based on the principles of accessibility, openness and continuity of education. It has been established that the effective integration of methodological concepts into the informational and educational environment of postgraduate pedagogical education significantly contributes to the professional growth and success of teachers.

Using chatbot application “Telegram” to improve functional fitness, physical fitness and academic performance of students

The aim of the study is to evaluate the possibility of using the chatbot application “Telegram” to improve the indicators of physical fitness, functional fitness and academic performance of students. The study uses the following methods: pedagogical experiment, pedagogical observation, pedagogical testing, methods of mathematical statistics. The authors propose to influence the physical condition of students using modern, fashionable information technology in the form of chat-bot application “Telegram”, which can have a positive impact on students. The article describes the mechanism of the chat-bot application “Telegram”, the organization of the study and the interaction of the teacher with the participants of the experiment. Testing on the selected criteria at the beginning and end of the experiment was carried out. The obtained indicators were processed using the program SPSS Statistic, nonparametric method by Mann-Whitney U-criterion (P ≤ 0.05). Reliable differences of the studied criteria of physical fitness and functional capabilities of the organism between the control and experimental groups were obtained. The improvement of academic performance of the experimental participants was proved.

Characteristic features of patients with myopia depending on the expressiveness of anxiety/depression.

Aim: To determine the peculiarities of character traits of patients with myopia at different levels of anxiety and depression. Materials and Methods: 30 patients with moderate myopia and mild myopic astigmatism in both eyes were examined. The "Kettel Test" was used to study the characteristics of the patient's character, and the Hospital Anxiety and Depression Scale was used to assess the levels of anxiety and depression. All examined patients were divided into 3 groups: the 1st group with a normal level of anxiety, the 2nd group with subclinical anxiety/depression, the 3rd grоup with clinically pronounced anxiety/depression. Mathematical processing of the research results was carried out using the methods of mathematical statistics. Results: Characteristic features of patients with myopia include conservatism, restraint, subordination, anxiety, developed imagination and high self-control. In half of people with myopia, anxiety/depression is subclinically determined, and in a third - clinically expressed anxiety/depression is observed. In the absence of anxiety in patients with myopia, the main character traits were conservatism, restraint, subordination, sufficient normative behavior, high self-control, and self-confidence; in the presence of subclinical anxiety - sufficient self-control and normative behavior, sociability, developed imagination, conservatism; with clinically expressed anxiety and depression - developed imagination, anxiety, significant normative behavior, conservatism, restraint, subordination. Conclusions: Studying the characteristic features of patients with myopia is necessary to clarify the peculiarities of the formation of the internal picture of the disease, the etiopathogenesis of the formation of nosogenies due to this pathology, and the development of individual psycho-corrective programs for such patients.

A79: Epidemiology of Athletic Injuries in China College Rock Climbing Athlete

Purpose: Originating from mountaineering, rock climbing has encountered fresh opportunities for growth since its inclusion in the Olympics, and there is a growing awareness of the associated injury risks. Methods: Using questionnaire survey and mathematical statistics methods, this paper studied the epidemiological characteristics of sports injuries among Chinese college rock-climbing athletes by 6 Chinese university rock-climbing teams. Results: The incidence of sports injury was as high as 87.10%, and the annual incidence of injury was 3.39 times/year. The number of injuries was mainly 1 time (43.55%), and the number of injuries was less in 4 (8.06%;) or 5 times (1.61%). A total of 105 injuries occurred, involving 107 body parts. Finger injuries were the most frequent, 30 times (28.04%), and followed by knee joint 12 times (11.21%). The most common injuries were abrasions (39.25%) followed by strains (26.17%) and impact injuries (13.08%). The incidence of acute injury was much higher than that of chronic injury, with 73 acute injuries (69.52%) and 32 chronic injuries (30.48%). UIAA1 injury was the most, 93 times (88.57%), followed by UIAA2 injury 10 times (9.52%). UIAA3 injury was once (0.95%). The most injuries occurred during training with 88 times (83.81%), followed by 11 times in competition (10.48%) and 6 times in other times (5.71%). Rock climbing events had the most injuries with 53 times (50.48%), followed by 32 times (30.48%), speed 15 times (14.29%) and other 5 times (4.76%). The factors influencing the occurrence of injury include risk factors and inducing events. The most important risk factors were the awareness of injury protection (P &lt; 0.05), sufficient preparation activities (P &lt; 0.05), wearing professional climbing shoes (P &lt; 0.05), and qualified protectors (P &lt; 0.05). Insufficient warm-up (n=41; 26.28%), the athlete's own technical movement error (n=35; 22.44%), excessive exercise load (n=25; 16.03%) were the most major injury-inducing event. Conclusion: Chinese college rock climbers face a high incidence of injuries, affecting various body sites and manifesting in numerous injury types. The injuries tend to be of a relatively mild degree, and the risk factors are complex and variable. It is crucial for the Chinese community to approach rock climbing injuries with reason, diligently avoid associated risk factors, enhance support for rock climbing injury research, and foster the healthy and rapid development of rock climbing among Chinese college students.

Оценка и анализ курения — вредной привычки студентов медицинского вуза

In modern society, smoking is one of the most common harmful habits. The issue of smoking among medical students and the ways to address it are particularly relevant. The study was aimed to identify the priority factors contributing to smoking as the main harmful habit. We performed a cross-sectional study of 254 students using the tailored questionnaire, D. Horn test, and Fagerstrom test. The data obtained were processed and analyzed using the mathematical statistics methods. The findings have shown that 68.4% of students are smokers. The majority of students report negative health effects of smoking: 45% of students complain of cough, 38% complain of mucus, 52% complain of the decrease in physical endurance. Furthermore, low motivation for smoking cessation has been revealed in the majority of respondents. Vaping turned out to be the smoking type most popular among students, and the majority of respondents believe that it is harmless. The identified predominant types of smoking behavior (“support”, “craving”) suggest emotional stress. The correlation between the students’ anxious emotional state and the frequency of smoking has been found (r = 0.79). Learning problems and emotional stress are the priority factors contributing to smoking as the main harmful habit of students. Thus, the issue of smoking should be considered both in medical-biological and socio-psychological aspects. It is important to shape health-saving behavior in students through hygienic training and education.

Оценка биологического действия комбинированного облучения овец для определения «безопасных» уровней радиационного воздействия

After a ground-based nuclear explosion, a large amount of fused melted radioactive particles (MRP) is formed. Entering the body of pasture animals with food, they accumulate in the proventriculus and abomasum, irradiating them against the background of total radiation exposure in sublethal doses. Research on combined irradiation of sheep (MRP+1.6 Gy) was carried out under the guidance of Professor B.N. Annenkov in 1978 on 48 sheep irradiated at a dose of 1.6 Gy in combination with feeding sheep with ORF activity from 9.99 to 51.80 MBq/kg of live weight. One group of animals served as non-irradiated controls. In addition, the work used experimental data obtained on 10 sheep irradiated at a dose of 2 Gy. Experimental data were analyzed using mathematical statistics methods. Combined irradiation is accompanied by moderate leukopenia, increased blood viscosity and damage to the gastrointestinal tract. Changes in the gastrointestinal tract are characterized by atony of the proventriculus, pain in the area of the xiphoid cartilage (mesh) and abomasum, hemorrhages and ulcers on the mucous membranes, as well as a decrease in the consumption of feed and water, which led to loss of live weight and death of animals. A study of the dynamics of death of irradiated sheep (probit analysis) showed that the minimum values of death (1 and 5%) can be caused by the consumption of MRP + 1.6 Gy with activity from 4.07 to 6.57 MBq/kg of live weight. Similar data were obtained when analyzing the values of ruminal motility (rumination) in irradiated sheep (3.6 and 5.4 MBq/kg live weight). Therefore, the “safe” level of ORS activity can reach 6.6 MBq/kg live weight of sheep +1.6 Gy of total irradiation.

The Promoting Effect of Organic Integration of Sports and Aesthetic Education on College Students’ Mental Health in the New Era

Abstract College sports is an important part of college education, has the important function of fitness and heart health, and is an important way to cultivate the mental health of college students. This paper selects a representative number of colleges and universities from a certain region as the object of investigation, measures the organic integration of college sports and aesthetic education, and proposes the whole-process teaching design for the organic integration of college sports and aesthetic education after digging into the implementation of aesthetic education in college sports courses. On this basis, two natural classes in a college are taken as experimental objects to carry out intervention experiments on the integration of physical education and aesthetic education, diagnose the mental health level of college students by using the symptom self-assessment scale, and compare the mental health level of college students before and after the experiment by using the mathematical statistics method. The current teaching methods of physical education and aesthetic education are relatively traditional, focusing on the lecture-question-and-answer method (84.8%), the movement demonstration method (77.6%), and the movement decomposition and overall practice method (64.8%). After the teaching experiment, the mental health of the students in the two classes showed significant differences in each factor item (p &lt; 0.05). The mental health level of the students in the class that used the integration of sports and aesthetic education for teaching was reduced by 16.83% and 13.77% compared with the pre experimentation and the control class, respectively. The organic integration of sports and aesthetic education has a certain promotion effect on the mental health of college students.

Information potential of the database on the 1959 All-Union Population Census as a source for historical and demographic studies of the urban environment

The purpose of this database is to create an electronic source that focuses on the socio-demographic characteristics of the Ural City based on materials from the All-Soviet Population Census of 1959, using the example of Arti, a town-type settlement in the Sverdlovsk Region. The selection of this particular object is due to its ability to record the transformation processes from a rural factory settlement to a town, against the backdrop of a relatively homogenous ethnosocial environment. The appeal to the original census materials is justified by their higher information content, as compared to published data that has undergone editing. The discovered Artinsky district archive file contains information on the town of Arti alone and represents a sample with an unclear formation process, similar in nature to a natural process. The study of methods for organizing and conducting a census indicates a relatively high level of reliability in its primary data. Historical and genetic methods, methods of source analysis, and mathematical statistics are used. A study of the distribution of data by gender and social groups, conducted using mathematical statistical methods in comparison to published data, allows us to conclude that the sample of materials formed from the census of Arti's urban-type settlement accurately reflects the properties of the entire population covered by the survey. The database created based on the materials of the 1959 All-Union Population Census is similar in content to the original source, with the addition of aggregated information about the composition and structure of families, as well as information about housing conditions. The features of both the source and database are focused, to a greater extent, on historical and demographic research, particularly family history. Due to its informative nature, the database can become a useful tool for researchers in this field.

A40: An Experimental Study on the Effect of Intelligent Motor Intervention on Motor Ability of Infants with Motor Retardation

Purpose: Early exercise intervention is particularly important for the improvement of motor ability in young children with delayed motor development. In this study, the effect of intelligent exercise online intervention on the motor ability of slow motor development in children aged 3 to 6 years was verified by arranging interesting sports games in the sports APP. Methods: Using the experimental method, interview method and mathematical statistics method, 37 children aged 3-6 years were selected through the motor development questionnaire, and online exercise intervention was carried out around the six themes of balance, coordination, sensitivity, flexibility, jumping and strength. There is a sports theme cycle every week, and the weekend is a parent-child sports game. The overall intervention lasts for 6 months, lasting from 15 to 20 minutes per day. Results: There were highly significant differences in children's exercise ability before and after the experiment (t= -24.859, P &lt; 0.01); the sensitivity, flexibility and coordination were particularly improved, with highly significant differences (t= -25.147, P &lt; 0.01); interviews found that through weekly parent-child exercise games, children and parents increased physical interaction and language communication compared with before intervention. Conclusion: Intelligent exercise online intervention can effectively improve the motor ability of children aged 3 to 6 years, especially the sensitivity, flexibility, and coordination ability. Meanwhile, regular parent-child exercise can improve communication between parents and children and improve the parent-child relationship.

Research on the Path of Integrating Chinese Traditional Culture in Civic and Political Education in Colleges and Universities Toward the Implicit Logic Construction of Emotional Identity Enhancement

Abstract Chinese traditional culture, as an important part of enhancing cultural self-confidence, needs to be further integrated into the existing ideological education of colleges and universities in order to improve students’ cultural self-confidence. This paper centers on the research of the excellent Chinese traditional cultural identity of contemporary college students, supported by multidisciplinary theoretical knowledge. It constructs a Chinese outstanding conventional culture identity system through the entropy power method and hierarchical analysis method. After that, the questionnaire survey method is used to collect data to statistically analyze the content, the mathematical statistics method is used to verify the results, and the logical analysis method is used to construct the specific framework of the article, which demonstrates the influence of the integration of Chinese traditional culture into the teaching of ideology and politics in colleges and universities on students’ cultural self-confidence and emotional identity. The empirical analysis shows that in the 1087 sample Chinese traditional culture Civics courses, the average score of cultural self-confidence of the sample college students is 3.8406, and the average score of cultural identity is 3.6766. Through learning and experiencing Chinese traditional culture, college students deepen their recognition of the integration of Chinese traditional culture into ideological and political courses and enhance their cultural self-confidence and emotional identity.

НАПРЯМИ АНАЛІЗУ СОЦІАЛЬНОЇ СФЕРИ УКРАЇНИ В СУЧАСНИХ УМОВАХ

A full-scale war and uncertainty about the sources of funding pose numerous threats to the future development of the social sphere in Ukraine. Currently, the expenditure side of Ukraine's budget is focused on priority financing of defence and military expenditures. At the same time, the decline in business activity as a result of Russian aggression and large-scale invasion is leading to a decline in budget revenues and the level of budgetary capacity. Under these conditions, the social sector of Ukraine does not receive sufficient funding and generally operates at the expense of international donors. The complexity of the situation necessitates a thorough analysis of the social sphere to identify the most priority areas of its development for the purpose of concentrated use of limited resources and efforts. The purpose of the article is to highlight the current problems of the social sphere development and to substantiate the directions of its analysis. The article analyses the standard of living of the population in the conditions of war, identifies current problems of development of the social sphere of Ukraine, and describes the priority areas of analysis of the social sphere. The article analyses statistical sources of the Ministry of Social Policy, the State Statistics Service, and the Pension Fund of Ukraine. The study used analytical and statistical-mathematical methods, the method of deduction in identifying development problems and systematisation and generalisation in identifying areas of analysis of the social sphere. Among the priority areas of analysis of the social sphere of Ukraine are the analysis of the standard of living of the population, analysis of GDP per capita and comparison of dynamics with other countries, analysis of access to education and medicine, analysis of employment and the labour market, assessment of social inclusion, analysis of socio-cultural development as part of the social life of citizens.

ПОЖИВНИЙ РЕЖИМ І ЗАБУР’ЯНЕНІСТЬ ПОСІВІВ СОРГО ЗЕРНОВОГО ЗА РІЗНИХ СПОСОБІВ ОСНОВНОГО ОБРОБІТКУ ҐРУНТУ ТА УДОБРЕННЯ

The article presents the results of experimental studies on the influence of different methods and depths of primary tillage, as well as nitrogen fertilizer rates, on the nutrient regime and weed infestation of grain sorghum crops. The research aims to scientifically substantiate and improve existing technological methods to increase the yield of grain sorghum plants, taking into account their morphobiological characteristics and reaction to the application of mineral fertilizers under various methods and depths of primary soil tillage. During the experiment, field, quantitative-weight, visual, laboratory, comparative-computational, and mathematical-statistical methods were used, employing widely recognized techniques and methodological recommendations. Results. The highest amounts of nitrates, mobile phosphorus compounds, and exchangeable potassium in the soil layer of 0-40 cm under grain sorghum crops during the years of the study were recorded against the background of the N60 nitrogen fertilizer dose applied during plowing to a depth of 28-30 cm. The lowest content of mobile phosphorus forms over the average of 3 years was observed in the disk tillage variant to a depth of 8-10 cm. The potassium content in the soil layer of 0-40 cm under grain sorghum crops over the average of 3 years of experimental research was characterized by a medium level. No significant difference was found in the utilization of available potassium by grain sorghum plants throughout the entire vegetation period, depending on the study factors. With an N30 dose, weed quantity increased by 1.4 and 2.2 times compared to the unfertilized background, depending on the soil tillage variant, and with an N60 dose, it increased by 1.3 and 2.1 times. The average yield of grain sorghum for plowing to a depth of 28-30 cm with the application of nitrogen fertilizers at a dose of N60 was 5.44 t/ha over the years of the study. For chisel tillage to the same depth, a yield of 3.89 t/ha was obtained, and for disk tillage, it was 2.54 t/ha. Conclusions. When growing grain sorghum in the conditions of the Southern Steppe of Ukraine, it is advisable to apply plowing to a depth of 28-30 cm against the background of nitrogen fertilizer application at a dose of N60, which creates favorable nutrient conditions and forms grain yield at the level of 5.44 t/ha. Keywords: grain sorghum, method and depth of tillage, nitrogen fertilizers, nutrient regime, weed infestation, yield.