Methods Of Mathematical Statistics Research Articles

Quantitative Indicators of Goalkeeper Saves among High-Skilled Football Players in Competitive Environments

This study aims to establish quantitative indicators of the number of saves performed by high-skilled football players. Materials, participants, and methods: the research was conducted from January 2024 to April 2024. The registration of technical-tactical actions (goalkeeper saves) was based on games involving teams from the English Premier League (EPL) during the 2023/2024 season. Ten games from this tournament were registered and analyzed. The study applied the following methods: analysis of scientific-methodological literature, pedagogical observations, and mathematical statistics methods. Results: the results of the study indicate that in the games of the English championship season 2023/2024, when facing shots towards their own goal, the number of defenders positioned below the ball line at the moment of the shot ranged from 0 to 10, with a mean value of 4,7±0,2. The number of defenders positioned below the ball line and within the goal area at the moment of the shot ranged from 0 to 7, with a mean value of 2,1±0,1. The number of players who actively performed saves on goal ranged from 0 to 3, with a mean value of 1,0±0,1. Additionally, the study revealed a strong positive correlation between the number of players below the ball line at the moment of the shot and the number of players below the ball line and within the goal area. A moderate positive correlation was found between the number of players actively performing saves on goal, the number of players below the ball line and the number of players within the goal area. Conclusions: the study found that with an increase in shot distance, the number of defenders positioned below the ball line, within the goal area, and actively blocking shots on goal increases. It was established that with an increase in the number of players actively resisting shots on goal, the likelihood of blocking a shot significantly increases while the likelihood of conceding a goal in their net decreases. A strong positive correlation was found between the number of players below the ball line and the number of players within the goal area, and a moderate positive correlation was found between the number of players actively blocking shots on goal and the number of players below the ball line as well as the number of players within the goal area.

Новітні можливості оцінки простої зорово-моторної реакції з використанням сучасних мобільних технологій

Purpose: to investigate the novel possibilities of assessing simple visual-motor reaction using modern mobile technologies. Material and methods. Research methods included analysis and synthesis of scientific-methodical literature, psychophysiological measurements, and mathematical statistical methods utilizing licensed programs RStudio and Numbers. The study was conducted in several stages. In the first stage, 135 students from Kharkiv State Academy of Physical Culture and Kharkiv State Academy of Arts of various specializations, aged 18-23 years, participated: martial arts (n=45); sports games (n=28); sports and artistic gymnastics (n=22); dance, choreography (n=40). The second stage presented the results of measurements from over 200 respondents, of different ages and genders, users of the «Reaction Visual & Acoustical» application on the iOS platform who provided their results in the «Game Center». Results: According to the first stage findings, information regarding the characteristics of the manifestation of simple visual-motor reaction in students of various specializations was obtained. It was noted that the level of sports qualification of athletes influences the reaction manifestation level. The least changes outside the upper and lower quartiles were observed in the martial arts group, where more students had higher sports qualifications. The most significant changes outside the upper and lower quartiles were observed in the sports games group, indicating the presence of athletes of different qualification levels in this group. According to the second stage results, a comparative analysis determined that there were no statistically significant differences (p>0,05) between the measurement indicators of «Game Center» users and the indicators of students of various specializations. Comparing the measurement results in the study groups, it was found that the reaction time of martial artists was statistically lower (p<0,05) than the reaction time of representatives of other specializations and «Game Center» users. Conclusions. Modern computer technologies allow for increased accuracy and speed of obtaining results of various measurements, saving time on result processing, making operational conclusions, and making relevant decisions. The results obtained during the study indicate that the level of sports qualification of athletes influences the reaction manifestation level. Thus, it was determined that martial artists with higher sports qualifications, who passed the appropriate selection stages, have more developed psychophysiological capabilities for the manifestation of various types of reactions. According to the comparative analysis results, it can be argued that there are no statistically significant differences (p>0,05) between the measurement indicators of «Game Center» users and the indicators of students of various specializations.

Analysis of the effectiveness of the methodology for designing a cloud-oriented distance learning environment for biology in informal education conditions

The article contains an analysis of research on the design of a cloud-oriented environment for distance learning of biology, teachers' experience in designing cloud-oriented environments contributes to the development of distance learning forms in general secondary education institutions and the widespread implementation of electronic tools in educational practice. When organizing distance learning in natural sciences, it is necessary to take into account the platform's capabilities and services for developing students' natural-science thinking, conducting observations, laboratory and practical experiments, implementing experimental tasks. The combination of cloud services and methods of distance learning in biology allows visualization of biological processes, the research-oriented nature of activities, organizing research projects on a single platform, using media resources, interactive simulators, integrating virtual content with the physical environment, and using programs for quality knowledge monitoring. The aim of the study is to develop a methodology for teachers to design a cloud-oriented educational environment for distance learning of biology for students in informal education conditions, testing its effectiveness based on the results of evaluation using a factor-criterion model, and developing recommendations for improving the qualifications of teachers in designing cloud-oriented environments in informal education conditions. Theoretical and empirical methods were applied to achieve the set goal, involving the study of previous research in the field of designing distance educational environments and the integration of cloud services into the educational process. Mathematical statistical methods were used to analyze the results of the survey of teachers from the focus group. The effectiveness of the developed methodology was tested using a factor-criterion model, which includes four factors: organizational, methodological, procedural, and content. Expert assessment of the effectiveness of the methodology revealed that the effectiveness of designing a cloud-oriented environment for distance learning of biology by biology teachers in general secondary education institutions, who participated in the focus group, is 0.79, indicating a high level

Long-term consequences of socio-economic and tax policies of developed countries in growing migration processes (on the example of France)

Relevance. The relevance of this research lies in Ukraine's need to modernize its fiscal policies for market efficiency and social welfare, while Georgia must accelerate job creation and wage improvement despite its reforms. Purpose. The study aims to address and analyse the tax and socio-economic policies of France, their impact on the country�s economy and forecast the consequences of implementing with due regard to migration processes. Methodology. The basis of the methodological approach in this paper is a qualitative combination of empirical analysis methods based on the collected material, namely analysis, synthesis, specification, the method of analogies, study of experience, methods of mathematical statistics and graphical representation of results. Results. The main result of the study is the analysis of the key elements of the social and tax systems of France in the dynamics, their interrelationships with the economic and political contexts of the country�s development, the description of key migration processes, analysis of their causes, consequences and state regulation measures (including the impact of the COVID-19 pandemic). Conclusions. The results of this research, as well as the conclusions drawn from them, are important for improving the current socio-economic policies and taxation system in Ukraine and Georgia. France is a good example of how Ukraine and Georgia should develop real sectors of the economy to achieve effective results. Keywords: tax system; social protection; gross domestic product; taxes; migration; economic development

PERFORMANCE ANALYSIS OF THE U22 WOMEN EUROPEAN BOXING CHAMPIONSHIPS

In recent years, women's boxing has undergone a significant transformation, becoming not only a popular sport but also an important phenomenon within the contexts of globalization and gender equality. The refinement of athletes' training programs through analytical examination of competitive performances is deemed a critical aspect. However, only a limited number of studies have been conducted exploring the performance indicators of amateur women's boxing. The aim of the research is to determine the performance indicators of female boxers at the U22 European Championship 2023 and to conduct a comparative analysis of winners and losers. The study employs the following methods: analysis of scientific literature, video analysis of boxing bouts, and methods of mathematical statistics. This investigation analysed 12 concluding matches with 24 contenders, identifying punches and movements via video review. It was found that winners, on average, deliver 8.4% more punches and execute 13.2% more movements than their opponents throughout the bout. Analysis revealed that winners are statistically significantly more active in moving around the ring during the second and third rounds and deliver more punches in the third round.

Aerial Acrobatics and Pole Sports as Means of Developing Flexibility and Strength Endurance.

The Relevance of the Research topic lies in the current stage of development of physical education in schools, characterized by the need to update content, constant search for effective methods to develop physical qualities, and the integration of innovations into physical education classes and extracurricular activities. One such innovation is aerial acrobatics and pole sports, which have gained popularity as forms of motor activity influencing students' interest in physical exercise and the development of physical qualities. The Purpose and Methods of the Research were to experimentally assess the impact of a comprehensive physical and technical training program in aerial acrobatics and pole sports on flexibility and power endurance development. The study employed analysis and synthesis of literature, pedagogical experimentation, and methods of mathematical statistics. The Results revealed improvements in flexibility indicators during «Bridge» exercises, changing from 45,07±5,42 cm to 37,13±3,79 cm; «Longitudinal split on the right» from -2,53±2,31 cm to 4,33±1,03 cm; «Left longitudinal split» from -4,7±1,47 cm to 4,47±1,17 cm; and «Lumbar split» from -5,6±1,83 cm to -2,73±1,39 cm. A statistically significant difference was observed at p<0.05. Similar improvements were found in power endurance development, with statistically significant differences between experimental group (EG) and control group (CG) indicators. For instance, during the «Bending and extending the arms in a supine position» exercise, EG indicators improved from 21,93±1,2 times to 33,13±1,14 times, and the time of maintaining body position in the supine position changed from 125,33±11,66 s to 288,0±18,18 s (p<0,05). In Conclusion, it has been established that a comprehensive program of physical and technical training incorporating aerial acrobatics and pole sports, which includes general and specialized exercises along with technical training, is more effective and positively impacts the development of flexibility and strength endurance. This is evidenced by the statistically significant improvement in these physical qualities among the experimental group (EG) girls compared to the control group (CG) across all parameters studied.

Interrelation of Military Professional Training and Physical Fitness of Servicemen

Topicality. The success of military professional activity depends on the soldiers` training and education peculiarities, which must be created using the certain methods of influence and characteristics of military personnel. The conditions of combat operations of the Armed Forces of Ukraine against the aggressor of the russian federation and the maintenance of an appropriate level of combat readiness of servicemen require new approaches to improving the means of training, education and formation of soldier`s physical and psychological readiness to act in difficult conditions in order to successfully perform military professional activities. Thus, the formation and interconnection of the military professional training tasks and servicemen`s physical fitness remains an urgent issue. The purpose to analyze and determine the impact of the development of physical qualities and military-applied skills of servicemen on the effectiveness of performing military and professional tasks. Methods. Analysis of scientific and methodological literature, testing, and methods of mathematical statistics have been used in the research. Results. It has been established that physically trained soldiers are more maneuverable on the battlefield (by 20-35%), successfully perform combat training tasks and standards (by 15-20% faster) than soldiers with a low level of physical fitness. The data obtained on the low level of combat preparedness indicate insufficient moral and psychological readiness to endure significant physical and psychological stress in a combat situation, both in combat and physical trainings. It has been found that the functional state of the body and the excellent development of basic physical qualities have a positive effect on the main indicators of combat readiness of personnel and significantly affect the results of the effective performance of military and professional activities. Conclusions. The research made it possible to find out that excellent physical condition is an integral part of the quality and successful performance of assigned tasks in accordance with the position held and the foundation of their combat readiness.

Самооценка физического здоровья студентов в процессе обучения в университете

Health and physical condition determine the success of students’ social self-development and professional selfrealization. The purpose of the study was to assess the health according to the physical development characteristics and functional condition of the first-year male students of Volgograd State University (n = 79). The results of measurements of students conducted under the guidance of a teacher and recorded in workbooks on physical education were analyzed. The data obtained were processed using mathematical statistics methods. Physical health indicators were test results that determine physical development and functional capabilities of students. High variability of indices evaluating physical development is shown, which indicates significant differences in the physical condition of first-year students. Participation of students in the self-assessment of indicators of physical development and functional fitness caused a critical attitude to their health, which was reflected in the formation of a conscious need for physical education. At the same time, some students understand that low indicators are the result of insufficient physical activity of students. It is indicated that in this situation, the main role in reducing the factors of physical inactivity is assigned to compulsory physical education classes provided by the state program, which are more likely to be tasked with the increase of physical activity of students.

Use of Artificial Intelligence to Monitor the Reliability of Removable Load-Handling Devices

Introduction. The malfunction of removable load-handling devices (RLHD) poses significant production risks. That is why research in this field is relevant. The problem has often become a topic of scientific investigation. The authors propose using artificial intelligence more extensively to monitor the state of RLHD. This paper presents a study on how to improve the machine vision model to better identify the absence of locks on RLHD hooks. A probable occurrence of such an issue in production is noted. A storage and monitoring system for RLHD condition is proposed. The aim of this study is to demonstrate the potential for further training of neural networks to significantly enhance the efficiency of RLHD monitoring, ensuring their safe use.Materials and Methods. The work is based on the results of a survey conducted at the LLC “KZ Rostselmash” plant from 2022 to 2023, involving 144 RLHD. Mathematical statistics methods were used to process the data. A neural network model previously trained using the YOLO computer vision algorithm was studied. It was retrained taking into account the norms of the rejection of RLHD, specified in federal rules and standards. Images of RLHD with defects and missing parts were collected from these sources and used to create a training database. The database was expanded by augmentation. The Roboflow platform was used for work.Results. The array of images used for further training of the neural network was divided into three samples: training (88%), validation (8%) and test (4%). These samples were used to train and validate its results. The training was completed after 260 epochs, with a steady increase in accuracy. The neural network model of computer vision obtained in this way automatically detected a common defect in the RLHD hook — the absence of a lock. Its performance was assessed using three indicators: average accuracy (94%), prediction accuracy (88.8%) and response (89.2%). The neural network could receive images from a video camera in real-time and recognize hook defects. During the RLHD inspection at the Rostselmash plant, a grab for lifting engines was found to have all three hooks defective — without locks. To avoid such situations, at the end of work, it was recommended to place the RLHD on a special stand equipped with a microcontroller device that could monitor for a number of potential issues using radio frequency identification.Discussion and Conclusions. The main goal of this proposed solution is to detect and address signs of non-compliance with the established standards. This task can be implemented in facilities that use lifting equipment. In this case, the timely noticed RLHD defects will allow preventing production incidents. As a result, material damage can be reduced and injury statistics improved.

The influence of sports games on the formation of technical skills of athletes in ukrainian belt wrestling

The article reveals current issues of forming the high level of technical fitness of athletes in Ukrainian belt wrestling. The main task of a technical training of an athlete is the formation of skills and abilities to perform competitive actions that allow to effectively use the athlete's capabilities in the process of sports activity. Technical skills training in any sport is aimed at teaching an athlete the technique of movements, improving them to perfection. The purpose of the research: to determine the influence of sports games on the formation of the level of technical skills of athletes in Ukrainian belt wrestling at the stage of preparation for major competitions. Research methods: analysis and synthesis of literary sources, methods of observation and comparison, pedagogical research methods (testing of physical qualities: coordination, speed and strength, power abilities, flexibility), medical and biological research methods, methods of mathematical statistics. Conclusions: the level of athletes' technical skills in the experimental group during the period of the pedagogical experiment by the indicator - throws of the partner, the speed of throws increased by 21.8% in relation to the control group - 4.7%.

Prospects for the implementation of the variable module "floorball" in the physical education curriculum for 14-16-year-old boys

The article deals with issues related to the development of floorball in general secondary education institutions. The presence of so-called variable modules within the current curriculum allows to vary to some extent the content of the educational material on physical culture in the direction of including the means of those types of sports and motor activity, which, on the one hand, are interesting and accessible to modern schoolchildren and, on the other hand, positively affect the level of their health and development. The purpose of the study is to determine the attitude of physical education teachers to the introduction of the "Floorball" module as a variable component of the physical education curriculum for 14-16-year-old boys. The research concept is based on the methodological, theoretical and scientific-methodical levels of the basic provisions of pedagogy and the theory and methodology of physical education. The research was carried out at Zhytomyr Ivan Franko State University and general secondary education institutions of Zhytomyr region in 2023-2024 in which 42 students - future physical education teachers - and 137 physical education teachers participated. Research methods: analysis of literary sources, observations, interviews, questionnaires, methods of mathematical statistics. Floorball is a team game sport and represents hockey in a sports hall. Simple equipment for the player, relatively inexpensive sports equipment made of plastic materials which makes it light and reduces the risk of injury, simple rules of the game and the ability to train on any flat surface. Floorball as a means of physical education attracts the attention of students with its high emotionality, spectacle, variety of manifestations of physical qualities, many different game combinations, quick transition from actions in attack to defense and ensures the preparation of student youth for active life activities and a healthy way of life. It was established that only 19.1% of the students have the skills and abilities to play floorball during a physical education lesson, and 71.4%, 66.1% and 63.0% of teachers with different work experience, respectively. The biggest obstacle to the introduction of floorball in lessons and extracurriculars in general secondary education institutions is the lack of sports grounds, the necessary equipment and the appropriate professional training of physical education teachers.

The influence of rhythmic gymnastics on the mobile readiness of older preschool children

Preschool age is the most favorable period for the development of a child's personality, physical and motor qualities. One of the tasks of working with children of older preschool age is to prepare them for a successful transition to systematic, organized schooling. Children's readiness for schooling determines the set of morphophysiological and psychological characteristics of children of older preschool age. Children's physical and motor readiness for learning characterizes their functional capabilities and state of health. One of the main indicators of children's physical and motor readiness for learning is the level of development of physical qualities and the technique of performing motor actions. The goal is to determine the influence of artistic gymnastics on the level of motor readiness of children 5-6 years old. Material and methods: analysis and generalization of scientific and methodological literature and Internet resources, pedagogical observation, pedagogical experiment, pedagogical testing, methods of mathematical statistics. The study was conducted on the basis of preschool education institutions No. 355 and No. 123. 80 children of the control and experimental groups, 40 each, took part in the study. Research results. The initial level of motor readiness of almost half of the children in both the control and experimental groups was at a low level. After the experiment, the percentage increase in motor readiness was significantly better (p<0.05) in the experimental group (13.9%) than in the control group (5.6%). Thus, the indicators in the experimental group increased from a low level to the average in 10.0% of children, and in the control group this indicator was 12.5%. On the other hand, 12.5% of children from the experimental group increased their indicators from average to high levels, while only 5.0% of children from the control group.

PIGMENTS AS A MASS MATERIAL: DISCUSSION OF THE METHODOLOGICAL APPROACH IN RESEARCH

Archaeological and natural science studies of Paleolithic paint pigments (ocher) date back more than 100 years. However, until recently, the vast majority of studies were focused on the study of individual samples, not the whole corpus of this category of materials - mineral paint raw materials (in the broad sense of the term). The description of the theoretical approach and the available results obtained in the course of testing the method of the fixation of field data and laboratory processing of ocher samples, which come in different shapes, sizes and differ in consistency, clearly demonstrate that it is fundamentally important to conduct an archaeological study of colorful pigments as a mass material prior to the natural science stage of the study. In the opposite case even goal-setting for subsequent interdisciplinary research will be virtually impossible, and its results will be extremely limited. A multifactorial study of paint materials can demonstrate a great variety of sample characteristics, both among different layers of archaeological material and artifacts from the same site, and among different sites. When approaching pigments as a mass material, statistical processing of the findings is necessary to form meaningful conclusions about the use of pigments on sites. The afore-said methodological approach reveals systemic differences, which opens up opportunities for comparison based on the methods of mathematical statistics. To obtain relevant data, such an approach requires the accumulation of a statistically significant number of pigment samples, suitable from the point of view of field algorithms. Consequently, it is only the study of a maximum available array of specimens (including a maximum of small grains) of ocher from different artifacts of the cultural layer, individual layers and different sites that makes it possible to obtain information about the cultural similarities and differences in this part of the life strategies of Upper Paleolithic groups, including the identification of the main stages of production chain. The proposed approach to the study of ocher as a mass material, if complying with the methodology of field work, is relevant for all types of archaeological sites of the Stone Age.

Functional literacy development of junior schoolchildren based on digital educational resources

Relevance. In the context of the reorganisation of the educational process policy of the Republic of Kazakhstan, the issue of teaching primary school children to develop functional literacy becomes urgent, which is an important step for modernising the educational system of the Republic of Kazakhstan and ensuring the competitiveness of the young generation. Purpose. The study aims to develop and experimentally verify the model of functional literacy development of junior schoolchildren based on digital educational resources. Methodology. The study employed analysis, comparison, systematisation, classification, generalisation, experiment, and methods of mathematical statistics. Results. The concepts of �functional literacy�, �development of functional literacy of junior schoolchildren�, and �development of functional literacy based on digital educational resources� were defined. The research was conducted in general education schools �School-lyceum No. 66� and �School No. 16� (Karaganda). As part of the experiment, the development of the functional literacy of junior schoolchildren model was carried out, namely the implementation of components with selected methods of their formation and pedagogical conditions, which was used to improve the educational process in primary schools of the Republic of Kazakhstan. Conclusions. The results of the conducted experiment formed promising directions for improving the educational process aimed at the development of functional literacy in the Republic of Kazakhstan through the formation of components, as well as pedagogical conditions and the development of methods of their implementation. The practical significance of the study consists in the development and implementation of the model, components, pedagogical conditions and methods of development of functional literacy of junior schoolchildren in the Republic of Kazakhstan. Keywords: primary education; methodology of training organisation; meta-subject results; components; pedagogical conditions of training; digital technologies

ANALYSIS OF THE OUTCOMES OF IMPLEMENTING THE EXPERIMENTAL SYSTEM FOR FUTURE TRANSLATORS’ PROFESSIONAL TRAINING BASED ON LOCALIZATION

The ongoing evolution of the higher linguistic education system is primarily focused on addressing the demands of society and the government for competent translators. This necessitates corresponding modifications in the professional training, development, and personal growth of future translation personnel, with the ultimate goal of fostering their preparedness for localization. The paper aims to provide a comprehensive overview of the outcomes obtained from implementing an experimental system for teaching prospective translators in localization, as well as their subsequent analysis. Clear algorithmization is necessary for any experimental activity, including the professional training of prospective translators for localization. A linear pedagogical experiment was conducted to implement and experimentally verify the author’s pedagogical system. The experiment was designed in a series of consecutive steps. To test the hypothesis proposed in the study, it was deemed necessary to approve the structural and functional model of the experimental system. This approval was intended to establish a program of experimental work that aims to create the required pedagogical conditions in both academic and extracurricular classes. The ultimate goal is to enable students to develop themselves as individuals, both personally and professionally. The effectiveness of the presented results was demonstrated through the use of theoretical analysis of scientific literature on the research problem. This analysis facilitated the selection and comprehension of didactic material. Additionally, a critical and analytical examination of concepts, theories, and methods was conducted to identify potential solutions for the problem under investigation. Furthermore, mathematical statistics methods were employed to quantitatively calculate the obtained data. The author’s methodology of incorporating various experimental new designs into the professional training of future translators for localization is deemed effective, as evidenced by the generalized results of the preparedness of future translators for localization.

Analysis of the causes and safety countermeasures of coal mine accidents: A case study of coal mine accidents in China from 2018 to 2022

Statistical data on coal mine safety accidents in China from 2018 to 2022 were obtained. Mathematical statistical methods were used to analyze the accident level, accident type, death toll, time, space, and other factors. Grounded theory (GT), case-based reasoning (CBR), analytic hierarchy process (AHP), interpretative structural model (ISM) and other methods were used to analyze the causes of coal mine accidents in detail, and the characteristics, accident-causing attributes and importance of coal mine accidents in China were explored. The results indicate that (1) according to the level and type of accident, the incidence of general accidents in coal mines is the highest, with both the number of roof accidents and the death toll accounting for the highest values. From the time and location of the accidents, coal mine accident-prone areas are concentrated in northern and southern China. May and July are accident-prone periods every year. (2) Using GT-CBR to analyze the causes of coal mine accidents, 18 key statements were extracted, and 11 initialization concepts were summarized. Ultimately, the causes were categorized into 4 core categories: human factors (H), machine factors (M), environmental factors (E), and organizational management factors (O). (3) A hierarchical structure model of the causes of accidents according to ISM was built. The weight and proportion of accidents and deaths were combined to evaluate the importance of accident-causing attributes. Human factor-induced accidents accounted for 71.6 % of all accidents, and the number of accident death caused by organization management factors was the largest, accounting for 54.8 %. Comprehensive analysis revealed that human and organization management factors are the most important causes of coal mine accidents

The Relationship between Familial Aspects and Physical Activities among Middle School Students in China

The purpose of this study is to explore the relationship between familial aspects and physical activities of middle school students, and to provide a theoretical basis for promoting physical exercise behavior of middle school students. By using the methods of literature, questionnaire and mathematical statistics, the author made a questionnaire survey on 481 middle school students. The results showed that gender and grade had significant effects on familial aspects and physical activity. The familial aspects have a significant effect on physical activity. Conclusion: parents play a key role in encouraging physical activity, underscoring the need for family-centred strategies in promoting physical activity; gender and grade levels play a crucial role, which points to the need for a tailored approach in promoting family-oriented sporting activities.

Mathematical model for assessing the influence of vibrations for multicopter elements

The article discusses the problem of studying the probabilistic characteristics of vibrations of the propellermotor group of an unmanned aerial vehicle such as a multicopter. The results of the research are presented in the form of quantitative values of the vibration parameters of the propeller-motor group of the agrodrone at given values of the input parameters of the electric drive control system, taking into account the influence of external factors. It is shown that the values of the parameters characterizing the vibrations of the propeller-motor group of the agrodrone can be different depending on the operating modes of the engines and changes in external conditions.Based on the experimental studies carried out, sets of measured random vibration parameters were obtained, which made it possible, based on the application of mathematical statistics methods, to calculate the mathematical expectations and dispersions of the amplitudes and velocities of vibration processes. The obtained probabilistic characteristics make it possible to study emissions (crossing a given level) of processes, to evaluate the intensity and probabilistic characteristics of the process going beyond the given boundaries.A mathematical model of the vibration process is substantiated, which allows, on the basis of the obtained experimental data, to assess the influence of vibrations on the elements of equipment installed on a multicopter, to assess its performance and reliability, and to determine tolerances on equipment parameters. The computer modeling of the probabilistic characteristics of vibration processes clearly demonstrated the efficiency of the proposed research methodology.

Social support as a factor of mental health in wartime conditions: Communication and interaction

According to researchers, social support is a powerful tool for maintaining a person's mental health. The aim of this study was to empirically identify the relationship between social support as a resource and the stability of an individual's mental health in wartime conditions. The following methods were used in the study: “The Mental Health Continuum – Short Form” (E.L. Nosenko, A.H. Chetveryk-Burchak), and the BASIC Ph Model. Mathematical-statistical methods applied included correlation analysis with the determination of the Pearson correlation coefficient (r) and the determination of differences using the Student's t-test. The study sample consisted of 382 Ukrainians living in Ukraine (of which 116 were men and 266 were women), with an average age of 21.3 years (ranging from 18 to 43 years). The results obtained demonstrate that more than a third of the respondents have a low level of stability of mental health, which is interpreted as a state of depression, a tense psycho-emotional state, passivity in activity and interaction with others. To overcome this state, the respondents most often resort to cognitive skills, belief and physical activity. Analysis of the relationship between mental health stability and various forms of social support revealed that communication and interaction with friends, family members, and members of organisations or communities to which one belongs are associated with higher indicators of mental health and well-being. Differences in mental health indicators and the use of social support were also found between men and women. Men are less likely to use social support as a method of coping with difficult life circumstances. The obtained data do not exhaust the problem of studying social support as a factor of mental health in wartime conditions, but they confirm that communication and interaction are associated with the psychological health and well-being of the individual

The analysis of medical prescriptions for patients with duodenal ulcer in hospital setting

The analysis of medical prescriptions for patients with duodenal ulcer in hospital setting