The processes of interpolation of biomedical signals obtained as a result of experimental studies are carried out using the local cubic spline model proposed in this work. The obtained results show that cubic spline models give good results in digital signal processing, which ensures that specialists make the right decision (diagnosis) as a result of digital signal processing in a certain field (in the field of medicine). The initial values of the ECG signal were digitally processed for the study. The obtained results are graphically displayed and the error results are evaluated [1,2]. The closeness of the reconstructed signal values to the original signal amplitudes and the very low error ensure the model's performance. In addition, accuracy is very important in the field of medicine. In medicine, accuracy plays an important role in processes such as determining the current condition of a patient brought to the hospital in critical condition, determining the type of disease, and determining the degree of the disease [3,5]. Increasing the degree of convergence of the models considered in this work does not depend on increasing the order of the system of equations.

This article describes the results of laboratory research work on the creation of an electrically conductive fabric, the purpose of which is to achieve optimal current conductivity, to reduce the effects of electromagnetic waves, when working as employees of electrical workers and other employees in the field of electricity, in working conditions with an electromagnetic field. The ability to reduce electromagnetic exposure with the help of such fabrics was studied in the works of foreign researchers who used this type of fabric in order to secure devices that do not work correctly in an electromagnetic environment, and the purpose of this work is to develop a safe type of fabric and use it for human safety

Integrated Management System (IMS) is a strategy for managing multiple systems to meet the needs and expectations of different stakeholders. The main objective of this study is to systematize the principles of IMS and its development and support by identifying key elements. To achieve this goal, a systematic review of the literature was conducted. The results show that there are 28 elements for the development and implementation of IMS. By critically analyzing these elements, it is possible to systematize 6 principles of IMS: systematic management; standardization; strategic, tactical and operational integration; organizational learning; elimination of bureaucracy; continuous improvement. Each principle serves as a foundation for the development and support of IMS. The scientific contribution of this study is that it represents a starting point for defining the theory of IMS. Also, taking into account these results, it is possible to typify the basis of IMS, which will help to increase the comparability of research results. The results of this work can also help business managers better focus their efforts in managing IMT and serve as a guide for them in developing and maintaining the aforementioned foundations.

This article examines the impact of cooperative learning techniques on the development of English speaking skills among EFL learners. Various collaborative strategies such as group work, pair discussions, role-play, and problem-solving tasks were applied throughout the study. The findings reveal that these cooperative learning methods significantly improved learners’ oral fluency, pronunciation, speaking confidence, and overall communicative performance. The article also analyzes the advantages of cooperative learning, its effectiveness in the EFL classroom, and its role in enhancing social interaction and communicative competence. The results indicate that cooperative learning is one of the most effective and motivating approaches for improving English speaking skills.

Organic pollutants of the environment represent one of the most significant threats to human health in the modern world. The article examines the main sources and types of organic pollutants and their prevalence in various regions of the world, including Uzbekistan. The mechanisms of impact on the human body are analyzed, and the results of studies on the effects of organic pollutants on public health are presented. The aim of the work is to systematize the data and identify key issues for developing risk reduction strategies. The paper uses methods of literature review and statistical data analysis

This article is dedicated to the development of communicative competence in primary school students. It discusses the importance of communicative competence in education, the necessity of its development at the primary school level, and effective methods for fostering this skill. The study employs role-playing, group work, discussions, and other interactive methods, analyzing their impact on students' communicative competence. Experimental results demonstrate significant improvements in students' vocabulary, participation in communication, and ability to express their thoughts clearly. The article also offers practical recommendations for educators and suggests directions for future research.

This article analyzes the functional model of the class teacher in the pedagogical management system, its theoretical foundations, as well as problems in the process of practical activity and their solutions. During the study, the effectiveness of the educational, organizational, communicative and monitoring functions of the class teacher was studied, and scientific and theoretical approaches to improving these functions in a modern educational environment were developed. Also, the problems encountered in the activities of the class teacher - such factors as poor individual work with students, insufficient communication with parents, and low use of digital tools - were deeply analyzed. The article provides effective proposals for the implementation of innovative management technologies, digital monitoring systems, and educational work based on cooperation to solve these problems. The results of the study serve to optimize the pedagogical management system and increase the effectiveness of the activities of class teachers.

In this article, the author comprehensively studied the main aspects of the development of the institution of attorney-client privilege in the conditions of modern Uzbekistan and Kazakhstan. In particular, it is noted that this norm is provided for in international acts, including the UN Standard Minimum Rules for the Treatment of Prisoners, etc. Also, the author, in organizational and functional terms, covers in sufficient detail the problems of ensuring the safety of attorney-client privilege as the basis of their legal status and independence. In the course of preparing the scientific work, some examples of foreign legislation, including the United States and the Russian Federation, were studied. Based on the results of the analysis of the institute of attorney-client privilege, theoretical conclusions and conclusions are presented.

English classrooms became more colorful, interactive recent years. Teachers need to work a lot developing their teaching skills and methods as young generation of today’s technologically developed century demand high quality education. Teacher should be capable of recognizing different socio-cultural problems apart from educational in the second language and foreign language acquisition classroom. In this case introducing outstanding,enjoyable and at the same to effective teaching techniques are considered as a valuable, significant tool to conduct lessons.Especially multicultural classes need this kind of interactive,technology based activities in order to shape social, cultural communication. In this process assessment part also plays crucial role as learners will improve their skills more during independent,self-study time. Tasks which are given by teacher should be relevant to topic and should serve learners to develop skills working in groups in order to form awareness of transnationalism in the SLA and FLA classroom. According to Brown (2010) in order to achieve expected results during the teaching process the assessment tool should include some principles like practicality, validity, reliability,authenticity and washback. Digital storytelling can justify all this criteria and this article contains evidence to this view.

This article reveals the characteristic features of citizens’ right to work and examines issues and aspects related to labor law. The purpose of this study is to provide the population with prospects for the realization of rights affecting labor relations. In the course of the scientific research, a comparative research method was used. The study determined that the modern social structure faces several problems, particularly a shortage of jobs corresponding to professional specializations. Based on the results of the analysis, the need arose to create new jobs for the broad population and to design support programs for the social group of youth. The materials of this study may contribute to strengthening the trust of the working population in the leaders of organizations, enterprises, and institutions, as well as to the development of new programs for young people aimed at helping them overcome competition in the labor market.

This article analyzes the relevance and theoretical foundations of the problem of healthy thinking, and highlights the content of the structural components of healthy thinking and healthy behavior, giving priority to the cognitive, preparatory, and final phases of the process of developing healthy thinking in future teachers. The article also provides information on the preliminary control results of experimental work and the specific characteristics of healthy thinking.

This work considers the solution of the Dirichlet problem for the Laplace equation in the case when the domain is bounded by a circle. The Laplace equation and its basic properties are introduced, and the transition to polar coordinates is carried out. The formulation of the Dirichlet problem on a circle with given boundary conditions is presented. The method of solving this problem using trigonometric series and the Fourier series to satisfy the boundary conditions is described. Specific examples of solving the Dirichlet problem on a circle with illustrations and numerical results are provided. In conclusion, the importance and practical significance of the obtained solutions for various applied problems are emphasized.

Engineering graphics, design important from the parts one is considered and computerization, these technologies, engineering in the field important tasks in execution help gives, for example, design and prototypes work release, presentations make up, and engineering protests more reliable and stored to do Engineering graphics and computerization, engineering in the field new technologies and new approaches in getting important place occupies They are education and teaching because it is important in the field they are new programs learning and them teaching for is used. This topic is new technologies learning, independent workers preparation and engineering in the field high to the results in reaching help gives

This article examines the fundamental reforms in the tourism sector in our country in recent years, practical work and its results, attention and recognition of prestigious international organizations, our place in international rankings, the number of tourists visiting our republic and outlines the conditions created for them and priority tasks that can be solved in the future.

This scientific article is devoted to the study of the legislative regulation of the procedural rights of guarantees of persons enjoying immunity during detention in the Republic of Uzbekistan. The work analyzes the norms of Uzbek legislation concerning the rights and obligations of persons with immunity in the process of detention, their protection from illegal actions of law enforcement agencies. Special attention is paid to mechanisms for ensuring compliance with the procedural rights and guarantees of persons with immunity, as well as problems and prospects for the development of this area in the context of modern challenges and requirements of the rule of law. The results of the study may be useful for improving legislation and the practice of applying procedural rules in relation to persons with immunity in Uzbekistan.

Further methods have been combined with culture to successfully diagnose TB including, the chest X-ray and the Tuberculin skin test . Received the results confirm high sensitivity (in all patients with local forms of tuberculosis DST was positive) and the specificity of DST (in all children with post-vaccination allergic a negative reaction to DST was noted), which allows it to be used for differentiation al diagnostics of post-vaccination and infectious allergy in children. The highest frequency of positive of TB risk groups was observed in the contact group (50.6%). Significantly a large number of cases (13 out of 26), contact with patients with bacterial excretion was detected only retrospectively, after the detection of TB disease (1/2 of them had contact with patients excreting among MBT strains with multidrug resistance, 2/3 had familial tuberculosistact). It is necessary to improve the work on identifying contacts and their examination, expanding the sanatorium-type institutions for separation and isolation of children from foci of tuberculosis.

Today, an educator armed with all-round knowledge can express his rational solution in any situation. Friendly communication between parents and children is one of the most effective ways of cooperation

This article discusses the issues of improving the methodology for the formation of graphic competence necessary for the design activities of future teachers of technology. Modern methods of developing graphic competence, information and communication technologies integrated into the educational process, and the results achieved on the basis of experimental work are presented.

To study the beneficial and harmful properties of activated pistachio charcoal, to study whether taking activated pistachio charcoal can give good results in the treatment of poisoning with heavy metal salts, food poisoning, as well as severe infectious diseases such as dysentery, cholera, typhoid fever .

This article analyzes the pedagogical and psychological importance of teaching musical works to children of preschool age. Music plays an important role in improving the mental state of children, developing creative abilities, concentrating, strengthening memory and enriching their emotional world. The article will talk about the role of music in the process of preschool education, its influence on the musical development of children and pedagogical approaches. Music, not only promotes the emotional and intellectual development of children, but also sets the stage for the formation of social skills. Teachers and educators can achieve the best results for children by fully understanding the importance of music in children's education and incorporating it into their educational practice.

Obesity is one of the problems that pose a serious threat to the health of the world's population. According to the data of the World Health Organization (WHO), 1.7 billion people of the planet are overweight, and as of 2025, 40% of men and 50% of women are obese. Endocrinologist, dietician and nutritionist offer several ways to get rid of excess weight. In the method we have chosen, a person can eat the foods he likes as before, while continuing his lifestyle, day and work routine, only requires reducing the daily amount of his usual food by half. 100% positive results were achieved by monitoring 44 patients suffering from various degrees of obesity who strictly followed this method for 4-6 months.

Riddles and proverbs are important components of a culture's oral tradition that encapsulate wisdom, values, and beliefs. This article explores how riddles and proverbs in English and Uzbek languages reflect and reinforce their respective cultural values and traditions. A comparative analysis was conducted on a sample of 50 English and 50 Uzbek riddles and proverbs. Themes related to cultural values were identified and the frequency of each theme was tabulated. The results show that while there are some common themes between the two languages, such as the importance of wisdom, hard work, and honesty, there are also notable differences that reflect the unique cultural contexts. English riddles and proverbs tended to emphasize individualism and self-reliance, while Uzbek ones focused more on communal ties and respect for elders. The insights from this study can enhance cross-cultural understanding and appreciation of the rich cultural heritage embedded in these linguistic forms