This study delves into the analysis of queueing models featuring removable servers and a single arrival stream. Queueing theory plays a crucial role in understanding and optimizing various service systems, and the presence of removable servers adds an intriguing dimension to these models. Through mathematical modeling and simulation, this research investigates the performance metrics, including queue length, wait times, and server utilization, in scenarios where servers can be temporarily removed from service. The study contributes valuable insights into the dynamics of such queueing systems, offering practical implications for service optimization and resource management.

This research presents the development and evaluation of an innovative Wireless Traffic Management System (WTMS) designed to optimize the flow of traffic for emergency vehicles. In emergency situations, every second counts, and traffic congestion can significantly impede the rapid response of emergency services. The proposed WTMS leverages advanced wireless communication technologies and real-time data analytics to prioritize and facilitate the movement of emergency vehicles through traffic. This paper outlines the system's architecture, its deployment in urban environments, and the results of extensive testing. The findings demonstrate a substantial reduction in emergency vehicle response times and enhanced safety for both emergency personnel and the public. The WTMS offers a promising solution to address critical challenges in emergency response scenarios.

The article highlights the signs of professional competence of teachers who have the ability to work with a group of students. Also, the author mentioned the important conditions for the organization of collective activities, which are the valuable attitude of the teachers towards the student group.

This article discusses the causes of student misbehavior in the classroom and strategies to address them.

The main specificity of the defining feature of providing this type of psychological assistance is that the victims are under the influence of extreme stressors, and psychological assistance is provided in the field.

The article examines the issue of developing production and technological competencies among future engineers in the process of teaching general professional subjects. The significance of these competencies for the successful professional activities of engineers is explored and methods and approaches to their formation in the educational process are analyzed. The main emphasis of the article is on the role of general professional subjects in the formation of production and technological competencies. The various methods and approaches used by teachers to enhance students' learning activities and develop their skills and abilities necessary to work in the engineering field are described.

The comparison of sentences in different languages is a crucial aspect of linguistics and language studies. This study aims to establish a robust methodology for comparing sentences in English and Uzbek, two distinct languages with unique grammatical and syntactic structures. The methodology outlined here encompasses aspects such as sentence structure, word order, verb conjugation, and vocabulary. The proposed methodology serves as a valuable tool for linguists, language learners, and computational linguists seeking to analyze and understand the fundamental differences and similarities between English and Uzbek sentences.

This article is a review and analysis of the principles and methodology of pedagogical qualimetry in the context of assessing high school students. Pedagogical qualimetry is a modern approach to assessing educational processes, aimed at more accurate and objective measurement of educational results. The article discusses the basic concepts of pedagogical qualimetry, including the principles of its construction, methods of data collection and analysis, as well as practical aspects of its application in assessing the performance of high school students. The study also highlights the role of pedagogical qualimetry in improving the quality of education and providing feedback to both teachers and students. In conclusion, the article summarizes the main findings and offers practical recommendations for applying the principles and methodology of pedagogical qualimetry in the school environment in order to improve the educational process and achieve better results for high school students.

This article analyzes “Kutadgu Bilig” by Yusuf Khos Khajib from a religious perspective. Kutadgu Bilig, being the oldest monument of Islamic literature, is considered a didactic poem in the tradition of “mirrors for princes”. It consists primarily of dialogue placed within a framed story. The language of the work is technically called Karakhanid, or Central Turkish. The language spoken in the Orkhon region of Mongolia, dating back to the eighth century, is the same as the language used in Turkic stone inscriptions.

This article is called "Theoretical and organizational-legal basis of application of digital technologies in postal communication services". It focuses on the theoretical foundations of the application of digital technologies, the needs of the development of the postal service in the Fourth Industrial Revolution.

This article describes the classification of tasks performed together by the teacher and students in the primary 3rd grade mathematics textbook, interactive methods and their types, as well as their special importance in increasing the effectiveness of educational work.

The purpose of the research is to determine the seed viability of the cultivars grown in the conditions of Karakalpakstan, the impact of planting periods on the productivity of the varieties of tall corn grown in the conditions of the application of fertilizers, in order to determine the seed viability of the varieties in laboratory conditions.

This article presents a brief history of the creation of Trajan's Column. It also talks about the architecture of this monument, its images and the significance of the building in modern times.

This scientific article highlights the actual problem of the formation of academic writing skills among students of a non-linguistic higher educational institution for whom English is a foreign language. The author explores the influence of the lack of knowledge of the peculiarities of the style of the academic genre and the limited vocabulary on the creation of text samples within the framework of academic writing. The article substantiates the importance of developing academic writing skills for the academic and professional activities of students, and also suggests specific ways to solve emerging problems in written communication.

The role of educators in facilitating children's engagement with nature is paramount in the present context of increasing urbanization and detachment from the natural world. This article discusses the significance of introducing children to nature and emphasizes the role of future educators in organizing and facilitating meaningful experiences in natural environments. It explores various strategies and approaches that educators can employ to effectively engage children with nature, fostering a deeper understanding of the environment and promoting a sustainable future.

This paper explores the integration of artificial intelligence (AI) in cybersecurity. While centralized digital systems enable secure communication, the digital revolution has brought new risks, including unauthorized data mining. Relying on service providers for central solutions results in redundancy, security flaws, and user complexities. Ensuring the privacy and security of dispersed digital identities hinges on robust digital authentication and verification. However, there's a lack of comprehensive studies on unified communications, user privacy, and data security within identity management systems. Blockchain technology holds great promise for digital identity management and verification. It addresses the need for more secure data storage and exchange. Traditional security measures, coupled with human intervention, prove inadequate against the array of cybercrimes committed online. Cybersecurity's primary goal is minimizing threats through AI applications, which already demonstrate value in the field. AI methods hold potential for tackling specific cybersecurity challenges and advancing beneficial applications.

The importance of taxes in the formation of state budget revenues and the main directions of practical reforms related to the thematic direction in international practice are described. Also, the composition and dynamics of the State budget revenues of the Republic of Uzbekistan were analyzed. Proposals for increasing and improving state budget revenues are presented.

The RF antenna cable is connected to a splitter with two or more outputs, and then the signal goes to each receiver separately.

This article describe the LTE radio interfaces, protocols, components, structures, and their applications. And analyses comparation of their differences.

The energy that serves humanity without harming the environment is ecologically clean natural energy that exists in nature. These types of energy include water, sun, wind, geothermal waters, geysers, waves, rising and falling water levels, volcanoes, lightning, various currents in oceans and seas, biomass, hydrogen fuel, urban waste, photosynthesis; may include photoelectric converters, chemical (galvanic) elements and others. These types of energy are called non-traditional and renewable energy sources. It is possible to produce clean ecological energy only from the above-mentioned energy sources. In the article, an experimental study and analysis of the operating modes of an uninterruptible power supply using a wind generator as a primary source

In particular, on X there ex ist  -plurisubharmonic functions,  -convex domains, φ-convex bound aries, etc, all inter-related and having a number of good properties.In this paper we show that, in a strong sense, the plurisubharmonic will be.

In this article, the writer, poet, literary scholar Sadriddin Aini's work “Namunayi adabiyoti tojik” (Exemplary Tajik literature), its sources, compositional structure, how it has been researched by experts, the history of our classical literature, modern literature and the scientific significance of the work in Uzbek criticism are discussed.

This article deals with the problems of translation, its challenges and the grammatical correspondences of translation and their principaltypes. This article considers the some grammatical problems of translation of English sentences into Russian and Uzbek languages.

In this work, the analysis of the characteristics of the use of effective digital technologies in the teaching of economic sciences to future economists in technical higher education institutions was considered.

In this work, the concept of media competence of pedagogues and the scientific theoretical basis of its development are discussed.

In this work, the theoretical foundations of the use of digital technologies in the training of future engineers are discussed.

This article shows one of the ways to attract more attention of students to the subject of engineering graphics, to make the lessons understandable and interesting.

In recent years, many measures have been taken to improve the quality of services to the population in the field of motor transport, and the targeted tasks of the development of motor transport services are being consistently fulfilled. Among them are many decisions and orders and several tasks related to the development of our national motor transport. Several decisions and orders on the further development and implementation of this direction are being confirmed by the example of changes in our day. The article talks about the environmental impact of fuels used in vehicles.

This article examines the effect of normal load on an infinite piecewise homogeneous two-layer plate when the materials of the upper and lower layers of the plate are elastic. The transverse displacement of the points of the contact plane of a two-layer plate is determined, satisfying the approximate equation obtained in the work, replacing only the viscoelastic operators with elastic Lame coefficients, respectively. For a rectangular infinite two-layer piecewise homogeneous plate under non-zero initial conditions, the frequencies of natural oscillations are calculated, and an analytical solution to this problem is constructed. The theoretical results obtained for solving dynamic problems of transverse vibration of piecewise homogeneous two-layer plates of constant thickness, taking into account the elastic properties of their material, make it possible to more accurately calculate the transverse displacement of the points of the contact plane of the plates under normal external loads.

This article discusses the analysis of the general equations of the transverse vibration of a piecewise homogeneous viscoelastic plate obtained in the “Oscillation of bilayer plates of constant thickness” [1].

This work is devoted to the creation of software for the national corpus of the Uzbek language. It describes the structure, components and tasks of the programs.

The work considers a belt drive with a composite tension roller, where the forces of interaction between the roller and the belt are determined, as well as specific recommended transmission parameters.

This article shows the pedagogical development of physical qualities in primary school students on the basis of national values.

In modern medical education, from the first year of study, a clinically oriented approach is clearly visible in the study of all preclinical disciplines.

The physical interface for transmitting telemetric information (TMI) in the BITS-2T structure is represented by a physical interface for transmitting telemetric potential code (Manchester II code). The ManchesterII code is a code with redundancy, a logical one is encoded by a negative edge of the signal in the middle of a bit interval, zero by a positive edge. At the boundaries of a bit interval, the signal, if necessary, changes its value, “preparing” to display the next bit in the middle of the next bit interval.

The material in the previous chapter gave, to a first approximation, the answer to the question: what is IP telephony? Before discussing in more detail the various approaches to architecture, protocols and options for building systems and equipment, it is useful to pay attention to another question: what is IP telephony for?

The pursuit of tolerance and inclusivity is integral to the progressive evolution of our society, and its roots are deeply intertwined with education. This article explores the activation and improvement of the culture of tolerance within the next generation of biology teachers, recognizing their pivotal role in shaping the mindsets of the future. Tolerance in education extends beyond theory; it is an embodiment of respect, acceptance, and understanding of diversity. Biology teachers are uniquely positioned to impart this culture through the lens of scientific interconnectedness. This article elucidates the significance of fostering tolerance within educational institutions and the specific challenges and opportunities biology teachers face.

The article discusses the process of recycling industrial waste by using coal fines in briquetting. The expediency of briquetting of coal fines is shown, which is due to its finely dispersed state and the complexity of transportation, the impossibility of burning in standard grate furnaces.

The use of medicinal herbs has a long history dating back thousands of years, with their aromatic properties being a key characteristic. The scent of medicinal herbs plays a significant role in traditional and modern medicine, contributing to their therapeutic effects and aiding in the treatment of various ailments. This article explores the chemistry, biological significance, and potential applications of the scents emanating from medicinal herbs.

Welding is a very versatile process, which is used in many industries to join metals of one type (brand) and different types (brand). This allows parts and structures to be joined permanently and firmly. Advances in welding technology have led to more precise and automated methods such as laser beam and electron beam welding. This, in turn, made it possible to create high-quality seams.

The improvement in the processing of wires made of copper materials in drawing machines is inextricably linked with the use of hard alloys. This leads to a significant increase in the mechanical properties of the device and the stretching performance. Nowadays, stretching is one of the main requirements of wire production to ensure their resistance to corrosion by increasing the hardness of the equipment. In this article, the causes, appearance and ways of eliminating stretching equipment are given.

The article is devoted to the analysis and study of the fibre optic spectrum, as well as the curvature of the fibre throughput characteristic. The effect of “water peaks” was also studied on the characteristics and ranges of transmitted signals of lasers of different technologies, respectively, and a conclusion was drawn on the work done.

Device technology conversion to do for equipment with it depends. He is the wind energy obtaining the electrostatic field (EF) using for is used and village work in release and, science and of technique another different in the fields too application can. The technical result of the invention is the construction of an optoelectronic transducer that converts the mechanical (kinetic) energy of the wind into an electrostatic field by means of an AFN-effect optoelectronic piezoelectric amplifier.

This article explores novel design concepts for modulators utilizing the APV (Anisotropic Photovoltaic) effect.

This paper examines the areas of application of digital technologies in applied television systems and modern means of implementing such systems. The results of the use of digital television technologies are also presented.

The article examines the problems of artistic creation and author's talent, in particular, Ozod Sharafiddinov's relationship to the personality and creativity of the talented representative of Uzbek literature of the 20th century, Odil Yaqubov, on the example of a historical speech of the writer.

This article outlines asset pricing models. In these models, the price of an asset changes randomly over time. The initial models are very simple – price fluctuations are binomial. Based on these models, more complex ones are shown, which already have practical significance and are used in real financial calculations.

This article discusses a method for calculating functions belonging to the class of functions that are not intgerable in a standard way using the Feynman method, which allows one to obtain an exact analytical solution. This article shows a method for calculating some rather complex integrals that cannot be integrated in the standard way.

The paper deals with the issues of testing of centrifugal compressor casings for strength and density. Based on the literature review of theoretical analyses of previously developed test benches at the compressor engineering and manufacturing company “Kazankompressormash” and their shortcomings identified, a modernization of the density test bench was carried out. For more efficient testing on the new modernized test bench, a notional layout of the site was designed. Presented a brief description of the new test bench and justified its operational safety and productivity. Provided are conclusions on the application of the conditional site layout and on test methodology.