Search

The reliability and performance of technological equipment largely depends on timely and reliable diagnostics of less durable assembly units, which include rolling bearings. An effective tool for determining state of the mechanical rotational systems on rolling bearings is vibration diagnostics. The variety vibration diagnostic method which are used on practise is due to the complexity extracting an informative component for estimation and predicting the state of rolling bearings from the general vibration signal of the study unit. The article is dedicated information content study of narrow frequency ranges of the vibration signal operation bearing assemblies paper machines and their use as diagnostic parameters for vibration diagnostics of rolling bearings. The paper presents the analysis results of vibration diagnostics existing methods of bearing assemblies of the technological equipment and establishes the determination defects in rolling bearings by changing the vibration level on the characteristic frequencies components of the vibration spectrum and the bypass spectrum provides more specific information about the nature damage of the bearing and its operation. On the processing experimental data base i.e. the average vibration velocity spectra signal taken from the bearing assembly paper machine, we offer a relative indicator for current state bearing estimation and its state prediction progress, which helps to make a decision on the suitability or unsuitability bearing.

The article highlights that in the space of modern design and artistic and creative education, in particular decorative and applied arts, the importance of paper is growing as both a creative material for modelling and for creating artistic products, and at the same time, the paper is simultaneously one of the most accessible art materials both from the viewpoint of ease of use and cost, and paper craft is an important basis for students' perception and creation of more complex artistic forms of professional art. It is noted that despite various editions, this disparity does not allow fully revealing paper-making as a conceptual whole – in the diversity of its connections with project culture, creative laboratory and design methodology in design. The purpose of the article is to reveal paper-making in the space of decorative and applied arts as well as to identify its theoretical and methodological foundations and to substantiate the role of paper-making in modern design for the formation of students' creative thinking alongside the formation of their artistic and pedagogical skills. These methods were applied and used to reveal the problem: general scientific (analysis, synthesis, generalization, systematization); scientific and specific: historical, artistic, pedagogical, psychological and approaches: systemic-structural, structural-functional, comparative, with the help of which the opinion regarding the phenomenon of paper-making is generalized, its essential content is clarified in the plane of decorative and applied arts, in modern design, and methodical methods are specified principles to the problem regarding the development of creative thinking of students specialized in artistic and pedagogical mastery. In the main content, it is noted that on the basis of methodological provisions and basic principles of traditional craftsmanship, the creative and essential foundations for decorative and applied arts are manifested, which ensures the formation of components of artistic competence and, at the same time, requires the use of students’ creative and figurative thinking. The idea of the key figurative-essential basis for paper-making is provided and it is noted that mastering the specifics of artistic imagery forms students' aesthetic ideas as well as a valuable act of understanding the world. It is highlighted that "paper plastic" also reflects the specificity of the author's approach to the study of compositional, constructive, structural and technological regularities of the work with material. In the content of the Methodological recommendations for conducting practical lessons, it is emphasized that the result should reflect the student's mastery – from the initial sketch through full-scale sketches to the design of the idea in the material. It is justified that in addition to the traditional methodical principles of education, there is a need to use certain art technologies. It is emphasized that the implementation of the developed "Conceptual Technology" in the teaching space of paper-making contributed to the decision-making process regarding the means of creating an artistic image. In the conclusions, it is noted that paper-making as a type of activity occupies an intermediate position between learning and playing and meets the conditions that ensure the effectiveness of the development of creative activity. Learning and practical work in the technique of papier-mâché using papier-mâché is important for the formation and development of abstract, associative, combinatorial, logical thinking, in the process of learning "paper-mâché" the creative thinking of students is formed and the skills of stylization and generalization are acquired, which involves the acquisition of practical experience for figurative reproduction. In the perspective of further research, it is important to consider the need to research, develop and create a model for the development of the future designer’s artistic and creative competence.

Subject and Purpose. Results are presented of the solar corona investigations performed with the world famous Ukrainian radio telescopes. The work has been aimed at offering a consistent review of recent achievements in observations of a variety of low-frequency radio emissions from the Sun. Methods and Methodology. The studies of the quiet (thermal) and sporadic (burst-like) radio emissions from the Sun have been carried out with the decameter-wavelength radio telescopes UTR-2, GURT and URAN-2. Specific features of the low-frequency solar radio emissions from a variety of sources are presented, with characterization of the optimized techniques that were applied in each case for evaluating physical parameters of the corona in the areas of decameter-wavelength radio wave generation. Results. The analysis of temporal, frequency and spatial characteristics of solar radio emissions has allowed suggesting a number of models for the coronal electron density distribution, and evaluating magnetic field strengths in the corona. Also, our experimental results have proven to be consistent with the observational data obtained in different frequency ranges and with the use of both ground based and space-borne instruments. Conclusions. The radio observations performed with Ukrainian radio telescopes have permitted studying, with high temporal, frequency and spatial resolutions, solar radio frequency emissions from various localized sources. Along with the large effective area and high sensitivity of the antennas, this permits application of a wide range of methods and tools aimed at detecting and analyzing solar bursts, of both strong and weak intensity, against the background of terrestrial interference of natural or artificial origin.

In this work, four waste paper composites were studied in terms of several photon interaction parameters over the energy region from 0.015 to 15.0 MeV. The waste paper and natural rubber (WP/NR) composites of different densities ranging from ρ = 0.894 to 1.16 gm⋅cm-3 were used for shielding radioactive rubble at different time period stages. Some additives were also used including high-abrasion furnace black, paraffin wax, B4C, as well as magnetite. The deduced parameters of photon interaction: equivalent atomic number Zeq, exposure buildup factor and energy absorption buildup factor have been studied as a function of incident photon energy, WP/NR elemental composition, and for penetration depths, up to 40 mean free path. The Zeq numbers have shown slight variation over the selected incident energy range and buildup factors were found to be modest at low and high photon energy meanwhile their values increase widely over the intermediate energy region. In addition, kerma relative to air for photon energies from 1 to 20 MeV were computed and show dependence upon equivalent atomic numbers. In this work, it was clear that filled samples offer better shielding capabilities than unfilled ones. The obtained data could be useful for radiation physicists and scientists in estimating the γ-irradiation received after applying such shields.

The article is devoted to the press coverage of the development of the educational process in Kyiv in the Central Rada period. The relevance of the study is conditioned by the lack of a comprehensive research of the educational environment in Kyiv in this period with the use of periodicals. The daily Kyiv editions «Nova Rada» and «Kyivlyanyn» have been used as a source base. Being different in terms of materials, methods of presenting information, style of writing and ideological orientation, these news papers covered different issues of education in the city. Qualitative and quantitative analysis, namely content analysis, which is a formalized method of interpreting texts, allows to increase the information content of such an inexhaustible source as the press. In the context of this research, the qualitative and quantitative analysis is useful to study advertising and reference sections of news papers, determined by the consistency and relative homogeneity of the content, with the goal of stating the frequency of indication. With the help of news paper publications, the changes that took place in Kyiv education have been revealed, the factors that influenced its democratization and Ukrainization have been clarified, and the challenges faced by participants in the educational process during 1917 and early 1918 have been identified. The possibility of reconstruction of everyday life of Kyiv students, schoolchildren and teachers with the help of periodicals has been proved. The impact of revolutionary changes on the Kyiv educational environment has been studied through the prism of everyday life, and their consequences for the functioning of educational institutions have been assessed. On the basis of advertisement on the pages of the press, the conditions of admission to higher and secondary schools, the specifics of education, the social and gender component of potential entrants, the introduction of mixed education have been determined.

The paper presents the research results on the properties of the pulp coniferous and deciduous wood composition in its original state and paper made from it, proposes a mechanism to increase the waterfast and waterproof food packaging paper by surface treatment with a composition based on polyamidepichlorohydrin with polyvinyl alcohol and urea. The study was conducted in order to ensure an increase in the consumer properties of packaging paper, since when packaging materials encounter food products, their structure can change under the influence of moisture, steam, and gas. Polyamidaminepichlorohydrin was used as the main component of the composition for paper processing, as functional additives: polyvinyl alcohol and urea. The above-mentioned starting materials are environmentally friendly, since foreign inclusions in food packaging materials would pose a serious danger to human health and life, as well as to the brand image of the product in which they would be detected. It was proved that high waterfastness and waterproofness, as well as the necessary level of barrier, protective and operational properties of packaging material for food products cannot always be obtained by introducing a significant amount of polyamidaminepichlorohydrin, so the paper investigated the mechanism of interacting cellulose fibers of paper with polyamidaminepichlorohydrin, and also proved the possibility of its use to obtain packaging paper with a given set of properties. It was found that the consumption of up to 4–6% polyamidaminepichlorohydrin provides the main increase in the mechanical strength of packaging paper, both in wet and dry conditions. The resulting waterfast and waterproof material can be used for food packaging.

New Ukrainian and world realities set new tasks for the higher educational establishments, which are related to the search for new, modern methods that allow to increase the effectiveness of training. Currently, topical are the issues of not only professional but also the personal development of the student forming the priority in the implementation of educational activities in universities, preparation for future professional activities, as well as for successful interaction in society. The concept of «individual social competence» is an important factor in creating a system of educational process which takes into account aspects of professional development, and at the same time the peculiarities of the formation of the student personality. The author analyses the concept of «competence», considers the key competences for lifelong learning, identified by the European Parliament and the Council of the European Union, including social competence, studies the scientific achievements of Ukrainian and foreign scientists, including G. Gedviliene, H. S. Han, K. M. Kemple, U.P. Kanning, M. Horenburg, G.W. Ladd, H. K. Ma, K. Monahan, M. Monnier, O.V. Varetska, N.I. Hlebova, D.V. Hubareva, O.I. Hura, M.O. Doktorovych, I.B. Zarubinska, O.O. Subina, V.M. Shakhrai. They explored different aspects of social competence of different age categories. The author concludes that, despite different interpretations, all scientists agree that social competence is an acquired skill, it can be formed and developed throughout life. It was also determined that the developed social competence determines the status of the individual in society, it affects the success in professional activities. The high level of social competence allows a person not only to be realized in professional activities, but also to influence the processes in society, which in turn determines its stability. The author’s definition of the concept of «individual social competence» is given in the paper; the author concludes that social competence is an integrated ability that contains other competencies: spiritual, civic, communicative, linguistic; the concept of social competence is closely related to professional competence, without the successful interaction of the individual with society it is impossible to acquire the skills and abilities inherent in a qualified specialist. Thus, an important task for modern higher education is the formation and development of social competence of students, which is the key to successful implementation of the future specialist in professional activities. The educational process should be aimed at forming a system of knowledge about interaction in society, understanding the system of social values, ability to cooperate in society, the ability to communicate constructively, because only a socially competent person can.

Background. The development of technologies for obtaining materials from plant raw materials, the use of which improves the consumer properties of cardboard and paper products and does not pollute the environment with harmful substances from synthetic polymers, is an urgent problem of our time. Objective. The purpose of the paper is to obtain pulp and nanocellulose from reed stalks by environmentally friendly methods and apply nanocellulose to improve the quality parameters of paper for packaging food products on automatic machines. Methods. To obtain pulp from reed stalks with a minimum residual content of lignin and minerals, two processing stages were used: alkaline extraction and organosolv cooking at a temperature of 97 ± 2 °C. Nanocellulose was obtained by the oxidation of organosolv reed pulp with 2,2,6,6-tetramethylpiperidine-1-oxyl (TEMPO) in the TEMPO / NaBr / NaClO system, which is more environmentally friendly than acid hydrolysis. The resulting nanocellulose was applied to paper samples from waste paper and sulphate unbleached pulp at a consumption from 1 to 3 g/m2. Results. Organosolv pulp was obtained from reed stalks with a residual lignin content of 0.53 % and an ash content of 0.045 %, which was used to obtain nanocellulose. The resulting nanocellulose particles have a transverse size in the range of 5–20 nm, a length of up to several micrometers, and the tensile strength of nanocellulose films is up to 60 MPa. It is shown that the application of nanocellulose to the surface of the samples increases the breaking strength and breaking length, and reduces the surface absorbency of paper. It was determined that with a nanocellulose consumption of up to 3 g/m2, paper samples have indicators that meet the requirements of the standard for paper for packaging food products on automatic machines. Conclusions. The use of nanocellulose from reed stalks as a hardening substance for paper production will allow replacing environmentally harmful polymer additives and up to 50 % of more expensive softwood pulp with waste paper, while maintaining paper quality indicators at the level of standard requirements.

In recent years, concrete in the construction industry has rapidly increased worldwide, including developing countries like India. The raw materials required to produce such a quantity require huge depletion of natural resources. On the other hand, disposal of paper waste, fly ash, and plastic waste is one of the biggest problems faced by many countries, including India, the amount of waste collected and recycled is less compared to disposal quantity. The use of these wastes in concrete reduces the disposal of waste in nature. In this experiment work, the use of these wastes in the concrete has been studied. Preliminary tests like specific gravity, fineness modulus, and water absorption have been carried out on the materials. Various mix designs are prepared by partial replacement of cement with fly ash and paper pulp, and sand is completely replaced with the quarry dust, and coarse aggregate is replaced with shredded plastic waste to create sustainable concrete. A comparative study on the properties like slump cone, the weight of the cubes, compressive strength and split tensile strength, and feasibility of such concrete has been carried out. Results indicated that the weight of cubes started to decrease with the addition of waste. Compressive strength and split tensile strength show that the strength started to fall with the addition of plastic. The cost of concrete decreased with the addition of waste. 5 % of plastic waste in concrete and 3 % of paper pulp, and 5 % of fly ash is considered the optimal replacement percentage.

The article examines the scientific work of one of the prominent representatives of the 20th century Azerbaijani piano performing school, Honored Art Worker, Professor Nigar Usubova (1914–1994). N. Usubova devoted an important part of her life to pedagogical activity, raising a generation of talented pianists. She made an exceptional contribution to the development of the Azerbaijani piano school and the definition of its future directions. N. Usubova’s pedagogical principles are reflected in her dissertation work and methodical manual. As it is known, N. Usubova studied in the class of A. Goldenweiser and wrote these scientific works under the guidance of the prominent pianist. An important part of these scientific works is devoted to the study of A. Arensky’s piano creative activity. Here, the musician touched upon the features of the composer’s piano performing, as well as the characteristic features of his music. The research also provides performing characteristics of the works analyzed and covering various genres. The purpose of the research is to study the fundamental results and main performing principles in the scientific works dedicated to A. Arensky’s piano creative work by Nigar Usubova, a brilliant representative of the Azerbaijani piano school of the twentieth century. In these scientific research works, N. Usubova touched upon the features of the prominent composer’s piano creative work, performing principles, circle of images; moreover, analyzed the form, genre, tone and other aspects and conducted research on the background of characteristic features of Russian music. We would like to bring to your attention that N. Usubova’s scientific works have not been published. This raises the scientific significance and relevance of the topic more. These scientific works are the first research work dedicated to the study of A. Arensky’s piano music in the Azerbaijani science of music. The research methodology is based on analytical and theoretical analysis, as well as on the source research method (work with archival materials). The main principle is the study and analysis of the fundamental results obtained by N. Usubova in the study of piano music by A. Arensky The scientific novelty of the research is that for the first time the scientific works of the outstanding pianist Nigyar Usubov are studied, their scientific significance, as well as the issues reflected in those works, are revealed. We would like to bring to your attention that these scientific works reflect N. Usubova’s method of approach to A. Arensky’s piano pieces as a pianist. For this reason, these scientific works are a valuable recommendation for every pianist who turns to A. Arensky’s piano creative work. Conclusions. Nigar Usubova is the author of two scientific works and her scientific creative activity is devoted to the definition of performing features of A. Arensky’s piano creative work. Each of these scientific-methodical works was written under the guidance of a prominent representative of the Russian piano school, pedagogue A. Goldenweiser. In these works, N. Usubova worked on A. Arensky’s creative work in a comprehensive and detailed way. According to the author, A. Arensky’s piano creative work is characterized by the clarity of form and texture, the richness of melodic material, which brings him closer to Tchaikovsky’s chamber music. Although the composer prefers miniature forms in his piano creative work, it is also possible to find virtuoso pieces, etudes, scherzos and capriccios. These works, in particular, influenced the formation of S. Rakhmaninov’s and A. Scriabin’s creative activity. The main characteristic features here are polyphonism, polymelodism and polyrhythmics of the piano texture. Simultaneously, N. Usubova thoroughly studied the influence of Western European composers on the formation of A. Arensky’s creative activity.

Purpose: comparative analysis of the manifestation of morphological and functional indicators of taekwondo athletes aged 14–15 years. Material and Methods: The study involved 60 taekwondo athletes aged 14–15 years. Athletes’ qualification 1-2 category. At least 5 years of experience in Taekwondo WTF. The assessment of morphological and functional indicators of taekwondo athletes was carried out at the age of 14 and 15 years. Research methods: analysis and generalization of scientific, methodological and special literature, information on the Internet; anthropometric methods; index method; methods of mathematical statistics. Results: The average body weight of taekwondo athletes aged 14-15 increased by 16,5%, and body length by 4,7%. The indicator of chest excursion increased by 4,8%, carpal dynamometry indicators of the left hand increased by 15,2%, the right hand - by 15,3%. 33,6% of 15-year-old athletes are underweight in terms of body mass index, 2,9% are overweight; 14 year olds: 21,56% underweight, 13,7% overweight. Athletes aged 14–15 have a normosthenic body type. According to the constitution of the physique, 7,84% of 14 year old athletes have a strong physique, 15,68% have a good physique, 5,88% have an average physique, 27,45% have a weak physique, 43,15% have a very weak one. 12,12% of 15-year-old taekwondo athletes have a strong physique, 24,24% have a good physique, 9,1% have an average physique, 24,24% have a weak body, and 30,3% have a very weak body. 13,7% of 14-year-old taekwondo athletes have good physical development, 3,9% - average, 76,4% - weak 15-year-old athletes: 17,6% - good physical development, 14,8% - average, 67,6% - weak. Conclusions: The study of morphological and functional indicators is one of the important criteria for the training of taekwondo athletes, the use of indices allows you to move on to relative indicators, that is, to standardize anthropometric indicators and supplement them. This will contribute to the rational selection of means and methods of training athletes, taking into account their personal characteristics. Our research can be used in monitoring the functional state of athletes involved in taekwondo WTF.

This paper discusses the latest data on the production of selected paper and paperboard, plastic, glass, wood and metal packaging. During the study period 2016-2020/2021, there was an increase in the production of selected paper and paperboard packaging compared to 2016. There has been an increase in the production of paper sacks and bags, cartons made of paper or paperboard other than corrugated and cartons made of paper or paperboard. Among plastic packaging, the production of plastic bags and sacks played a significant role and has been growing steadily since 2016. The production of glass packaging (clear glass bottles with a capacity of less than 2.5 liters for beverages and food) increased between 2016 and 2021. Flat pallets were the dominant product among wood packaging in 2020. The decline in box pallet production was significant not only relative to 2019, but also relative to 2016. In the group of metal packaging with a capacity not exceeding 300 liters, the highest production was recorded for barrels and similar containers for any material (excluding gas), made of aluminium. It reached 93228 tonnes in 2020 and was 2.4% higher than in 2019. The packaging market in Poland and worldwide has been gradually increasing its value over the past years. The production of packaging in Poland in the coming years should grow dynamically, although not as fast as before. Undoubtedly, today the biggest challenge for the packaging industry is the rising prices of raw materials, which can negatively affect the profitability and liquidity situation of manufacturers. In particular, the prices of plastics have gone up considerably, but the costs of pulp, metals, wood and glass are also increasing, so the raw material pressure is now affecting the entire packaging industry

The purpose of the work is to implement a complex of conservation measures for particularly valuable documents of the V. I. Vernadskyi National Library of Ukraine, which includes microbiological and material examinations to ensure their long-termstorage. The research methodology consists in the application of instrumental, statistical and applied methods, so it allows to trace the actual physical condition of the material basis of valuable and rare documents as fully as possible and to implementstabilization operations to guarantee the preservation of these collections. The scientific novelty of the work consists in the optimal combination of non-destructive microbiological and material examination of the condition of especially valuable library documents of the V. I. Vernadskyi National Library of Ukraine as a basic component for the development and implementation of modern conservation measures specifically for the examined documents in the defined conditions. Conclusions.The conservation measures developed on the basis of the conducted examinations ingeneral include the selection of modern methods and necessary materials to restore the documents and minimize the speed of the aging processes of their material base, as well as technically and competently ensure the scientific restoration of separate copies. It is also expected to optimally combine traditional methods of restoration of valuable documents with introduction of innovative technologies: phase storage, neutralization of excessive acidity with modern antioxidants, as well as creation of electronic insurance and reader copies in accordance with the demand of time.

Packaging materials can arise from a wide range of sources and are commonly used for food, medicine, household appliances, and items to enclose or protect products during distribution, storage, sale, delivery, and use. The choice of material (paper, plastic, glass, wood, metal, multi-layer or other packaging) to be used depends on the type and properties of product, the purpose of packaging, and the price. The aim of the investigation is to analyse the morphological composition of packaging waste collected separately in Kaunas (Lithuanian) private households and to evaluate its recycling possibilities. The mixture of paper, plastic, and metal packaging waste was analyzed in the winter and spring (one time per month) in the waste management company JSC "Kauno švara".

The aim of this paper is to study the effect of variation of the parameters of a small-sized quadrotor blade on the level of aerodynamic noise and its frequency spectrum. There is a certain discrepancy between the calculated and experimental data available today. The reason for this is that the study of quadrotor rotor noise is carried out using various theoretical models that do not consider certain factors of sound generation or additional artificial sound sources, which result in an overestimated noise level. Therefore, there is a need for an accurate model, the calculation of which more closely matches the experimental data. In the paper below, an aerodynamic noise model is proposed to study the noise of a quadrocopter blade, which considers the non-stationarity and three-dimensionality of the sound generation and propagation process. The research methods are based on the numerical calculation of the characteristics of the near and far sound fields in the potential approximation: pressure coefficient, sound pressure level, and spectrum of the generated sound. The main parameters that were varied during numerical calculations were the rotor speed of the quadrotor, angle of attack, torsion angle, and blade position in the plane of rotation. The NASA parabolic profile was used as the test profile. Results and conclusions. The results of numerical calculations in the near field revealed three areas of sound generation above the blade surface. The first region, which is more unstable, is caused by blade torsion. The other two sound generation areas are smoothly distributed along the blade’s swing, and the pressure change level in each of them doubles. The level of generated aerodynamic noise is largely dependent on the blade speed and the distance from the blade at which the noise is calculated. The angle of attack and blade pitch have a smaller effect on the generated noise level, and in the far field, they have almost no effect on the maximum noise level. The dependence of noise on the distance to the blade, as well as the blade parameters, which were chosen similar to those studied by other authors, showed a fairly good agreement with the calculations of these authors and with experimental studies. Because of aerodynamic calculations and noise generation around the quadrotor blade using ANSYS software, it was found that sound vibrations occur during the flow around the blade tip, with a level of 120 dB in the immediate vicinity of the blade surface. Calculations using a 3D model of the propeller confirmed that the volume reached 80 dB at the nearest reference point, which closely matches the data from the calculation based on the potential model and the experimental data.

The use of unmanned aerial vehicles is gaining wide popularity in various areas of research and information acquisition. More and more often, unmanned aerial vehicles are used to obtain various types of images of the Earth’s surface for its study. In particular, such data can be used in law enforcement, localization of crowds, etc. Typically, such systems operate independently of humans and provide information about objects in an automatic mode, with humans working only under the control of the aircraft. One of the main components of such systems is a neural network for localization and classification of objects, the parameters of which determine both the accuracy of the system as a whole and the design of the aircraft for shooting. In particular, the accuracy of the neural network determines the profitability of such a system, because if the accuracy is insufficient, the use of such systems will not make sense. Therefore, the main subject of research in this paper is a neural network for object localization, in particular YOLO v5, and its accuracy parameters on images obtained from unmanned aerial vehicles. The main focus of this paper is on the parameters of the neural network and the study of its metrics, which are important parameters of a trained neural network. Another important parameter for the further use of a neural network is its training parameters, as well as the data used for training. This study also pays attention to the details of the training process. The main goal of this study is to train a neural network on a selected dataset and to study the accuracy metrics of the trained neural network. The main goal of this study is to determine the dependence of localization accuracy on the area of the object, which will allow for more detailed development of unmanned systems with automatic object detection, as well as to assess the profitability of using such systems in task planning. On the basis of the data obtained, conclusions were drawn about the dependence of localization accuracy on the area of an object in images from unmanned aerial vehicles. These data can serve as a reference for unmanned aerial vehicle developers, particularly when selecting photo modules or planning the system architecture.

Background. Modeling allows investigating both existing and predicted processes and is widely used in basic science and in many industries. The aim is to develop a mathematical model for determining the size of the foreign bodies (FB) and their radiographic density in non-biological and biological models to improve the results of diagnosis for gunshot ricochet wounds. Materials and methods. In the biological non-living model (a piece of pork) and non-biological models (polystyrene, foam rubber), we place the FB made of paper, leather, rubber, plastic, and lithium-ion batteries. The number of the FB is 9 of each type. Number of models is 3 each: pork, polystyrene, foam rubber. We measure the dimensions of the FB and models with a metric ruler. For each model, we select the FB, which we label with the study number. We immerse the FB to the same depth using a Billroth general surgical medium hemostatic clamp in the following sequence: paper, leather, rubber, plastic, and lithium-ion battery. Multislice computed tomography (MSCT) of the models is performed on the Revolution EVO (2021) apparatus with measurement of the sizes and radiographic density of the FB and models. Radiographic density was measured in conventional units on the Hounsfield scale. For each study group, the ratio of the actual sizes of the removed FB and according to MSCT data was determined in the MathCad 15 computer math software, depending on the radiological density of the FB and the model. Results. According to MSCT data, the radiographic density of the models on the Hounsfield scale is as follows: polystyrene — –990.0 ± 0.3 units; foam rubber — –985.0 ± 0.2 units; pork — 62.0 ± 0.3 units; radiographic density of the foreign bodies: paper — –743.0 ± 10.3 units, leather — –258.0 ± 14.2 units, rubber — –12.0 ± 2.6 units, plastic — 183.0 ± 14.6 units, lithium-ion batteries — 3071 units. Visualization of paper in non-biological and biological models and leather in non-biological models is problematic due to the similar radiographic density of the models and the inability to measure the dimensions. When the FB (rubber, plastic, battery) is immersed in polystyrene, the coefficient of length (CL) is 1.0612, the coefficient of width (CW) is 1.928; in foam rubber: CL is 0.9926, CW is 1.9641; in pork: CL is 0.8394, CW is 1.534. Comparing the average coefficients of the ratio (CL and CW), we find that the coefficient in a biological model is closest to 1. This means that the FB from rubber, plastic, and batteries are best detected in pork. Conclusions. The actual dimensions of the FB placed in biological and non-biological models differ from those obtained by MSCT. Data correction is performed through calculated coefficients for length and width. The radiographic density of the model affects the radial visualization of the FB. The use of mathematical modeling in determining the sizes and radiographic density allows reducing the measurement error and determine the structure of the FB.

Objectives. This paper delves into the intersection of mathematical modelling and learning theory, exploring how mathematical frameworks have been instrumental in advancing our understanding of educational processes and pedagogical practices with the aid of Artificial Intelligence (AI). Material and methods. Advancing learning theories through mathematical modelling offers several significant benefits and opportunities. This is because mathematical models provide a precise and systematic framework for representing complex educational phenomena, allowing researchers to formalize theoretical concepts, relationships, and mechanisms in a clear and rigorous manner. Results and Conclusions. This paper focused on such learning theories as cooperative learning theory, Maslow motivation theory, and social learning theory. By employing mathematical models, researchers have been able to dissect complex educational phenomena, elucidate underlying mechanisms, and predict outcomes with a level of precision that traditional qualitative approaches often struggle to achieve.

Accounting and finance are intricately intertwined with the global quest for environmental sustainability by applying accounting and finance tools for carbon reduction initiatives. Clean energy financial investment is one of the many alternative tools through which accounting contributes to carbon reduction. Accordingly, this paper analysed the impact of separate and integrated clean energy investment alternatives on carbon reduction. Data on clean energy financial investment and carbon emission per capita were collected from the International Energy Agency (IEA) and Our World in Data archives, respectively. Data was analysed by using multiple pooled OLS to evaluate the impact of individual clean energy financial investments on carbon reduction and the impact of integrating the various clean energy financial investment alternatives on carbon reduction separately. Findings show that individual clean energy financial investments may not separately offer desired carbon reduction, hence, albeit some negative coefficients, individual clean investments showed no significant impact on carbon reduction. However, furthering the test by pooling all the clean energy financial investment alternatives shows a significant negative effect of clean energy financial investment on carbon reduction at a P-value of 0.05. This shows that an integration of different alternatives of clean energy financial investment may offer an enhanced reduction of carbon emission, which outweighs the effect of relying on a single clean energy investment alternative. The findings offer significant insight for policy makers’ future strategies towards a combination of multiple clean energy financial investments. Furthermore, the findings from this paper are a further testament that accounting and finance are connected with the global quest for environmental sustainability through the application of accounting and financial investment tools in conducting clean energy financial investment.

Objectives This paper focuses on recognising and addressing the challenges of ADHD in early childhood girls. The paper aims to fill a gap in the scientific literature by focusing on the specificity of ADHD in girls, which differs from symptoms in boys. It also aims to raise awareness of the issue of ADHD among parents and teachers and to provide practical therapeutic guidance and educational support that is tailored to the needs of girls with ADHD. Material and methods The source materials for this publication will be various monographs and articles by special educators. The collected material will allow the analytical-critical method to synthetically realise the indicated aim of the work. Results Parents should learn to anticipate potential conflict situations, to exclude them or to plan in such a way that the child can cope with them. It is the parents' task to plan the day in such a way as to introduce a ritual and a daily routine of repetitive activities. Children with Attention Deficit Hyperactivity Disorder need to acquire skills to deal with conflict, emotional labile, anxiety and stress. Conclusions Often undiagnosed girls suffer alone together with their disorder. Close cooperation between parents and teachers is an indispensable element in the treatment of ADHD. A child with ADHD should be allowed to participate in the educational and educational process. It is important to get to know the peer group so that girls with ADHD can learn to recognise themselves and their own reactions and abilities.

This paper indicates significance of generational diversity management in modern business. Due to certain social, political and economic circumstances each generation is specific, with its own skills, interactions and expectations. What is common for all of them is the willingness to find the right employer. The one open to human needs and aware of their work commitment; the one to offer appropriate work surroundings, self- development and adequate gratification. The paper is aimed at presenting those generational disparities, for awareness of them is crucial in efficient human resources management. Worksite is the natural environment, where such age-related experiences and opinions clash, enabling to gain the right perspective and choose the most effective and innovative directing solution. Generationally diverse team brings multilevel benefits for both sites and aids enterprise development.

In the modern world, mortgage plays an important role in the life of the citizens of the country due to its important role in providing their housing needs. Thus, it is important to find the most effective model of mortgage lending for the country to maximize the living standards of its citizens. The aim of the work is to choose the most effective model of mortgage lending that can be used in the country and bring the greatest benefit to it. The main methods used in the research were analysis, deduction, induction, and abstraction. The paper examined various aspects of mortgage lending, focusing on the different payment models and their implications for borrowers. Two types of mortgage loans were considered: with annuity and differentiated payments, their main differences in terms of payment rates were described, and mathematical formulae for their calculation were specified. To illustrate the impact on the borrower of each of them, a theoretical example was provided, on the basis of which the differences between the two systems were described. The paper also describes three models for organizing mortgage lending systems: a closed (stand-alone) mortgage system, a truncated open model and an extended open model. The suitability of these models for the development of the Kyrgyz mortgage market was assessed based on their characteristics and features, positive and negative components. The work brings new knowledge in the context of studying the peculiarities of mortgage lending as a whole, as well as allows finding opportunities for improving its functioning in the Kyrgyz Republic

The policy of “double reduction” has been applied by the Chinese government, and therefore, an assessment of its impact on various components of economic and social development in this and other countries is relevant. The purpose of this paper was to determine how the outflow of students abroad (due to the use of the “double reduction” policy) affects the economic development of local economies. The main methods used in the study were analysis, abstraction and forecasting. The article presents a survey of Chinese students studying abroad, which shows differences in satisfaction, cost of living and employment rates in different countries. The essence of the “double reduction” policy, which was aimed at solving various problems in the education system, was also considered. It describes the purpose of the policy and the actual impact it had on students and teachers. In addition, it was noted how the policy was related to the out-migration of students, and the negative and positive effects of the policy on the country were also discussed in detail. The correlation between these factors and the gross domestic product was also explored, highlighting the potential interaction between these indicators. In particular, it was shown that the level of satisfaction with education was diverse and did not have a significant correlation with other factors, such as unemployment and living costs. In turn, other indicators that did influence the level of study satisfaction were noted. This paper brings new knowledge to the assessment of the development of China’s economy and its education sector. It also provides a better understanding of how the trends in student out-migration affect the economic development of other countries

Conducting a study on this topic is becoming relevant due to the rapid introduction of digital technologies in the agricultural sector, which requires urgent study to effectively address current challenges in agriculture. The purpose of this paper is to analyse innovative approaches to improving the efficiency of economic activity in the agri-food sector. The methods used include the analytical method, classification method, functional method, statistical method, synthesis method, and others. The study found that the use of innovative approaches has significantly improved the productivity and sustainability of the agricultural sector. The use of blockchain technologies has increased trust in the supply chain by providing verified and transparent information on product quality. The analysis of large volumes of data has made it possible to develop specialized solutions and strategies tailored to specific business conditions in different regions. The results show an increase in the resilience of the agricultural sector to changes in economic and climate conditions. The findings of the study highlight the potential of digital transformation as a strategic tool for innovative and sustainable development of the agricultural sector. The study identified key strategies for the future implementation of digital technologies, taking into account the needs of the agricultural sector. The conclusion emphasizes the importance of introducing digital technologies to increase efficiency, improve management and ensure the sustainability of the industry in today’s digital economy. The practical significance of the paper is to analyse and highlight the factors that affect productivity and resource management in agriculture, which serves as a basis for further research and development of specific strategies and recommendations to improve the efficiency of the sector

This paper analyze the nuanced relationship between corporate income tax (CIT ) rate reductions as a tax incentive and foreign direct investments (FDI) across the Western Balkan countries. Additionally, it examines the extent to which they have progressed with their achievements during two decades (2000-2022). The transition of the Western Balkans from a closed and controlled economy to an open market economy has been challenging, but despite this, they have implemented certain policies to compete in the global market. For instance, they have reduced tax rates and offered tax incentives to attract foreign investors. This has had the effect of lowering the average tax rate, specifically in the year 2000, the average tax rate in corporate income tax was around 17%, while in 2023 the average tax rate in corporate income tax is 11%, or 6% lower. However, despite taking measures, the expected results have not been achieved. Privatization of public enterprises has been one of the main investments that these countries have attracted. The paper addresses the problems that have led to poor results and the inability of countries to convince investors for larger investments. In Kosovo, the issue of progress in this area is being overlooked by the government. It is important for Kosovo to recognize that neighboring countries are making significant progress, and therefore, it is critical to conduct research that not only highlights the current situation but also identifies potential solutions for the future.

The need to develop new systems for detecting and counteracting malware remains relevant. In addition to malware detection methods, the need to develop new systems for detecting and counteracting malware has become increasingly important. The use of various detection systems and the formation of a variable architecture in them significantly improves the effectiveness of detection, since both for attackers in computer attacks and for malware, understanding the system is significantly complicated. In addition, such systems may contain baits, traps, and, accordingly, modifiable operating environments to deceptively execute programs for research. This paper develops a conceptual model of multicomputer systems, which is designed to ensure the functioning of antivirus bait and traps to detect malware and computer attacks in corporate networks. The proposed approach is intended to prevent and counteract metamorphic virus penetration. This paper presents the conceptual model of multicomputer systems and introduces a defining characteristic responsible for the control of decisions and other defining characteristics of the system. Methods for detecting metamorphic viruses with the possibility of their implementation in the architecture of multi-computer systems with bait and traps are developed so that the system directly joins the detection procedure through its components and decides on the presence of metamorphic code in the executable file. An implementation of a multi-computer malware detection system with metamorphic functionality was developed to prove the feasibility of the proposed conceptual architecture model and the developed methods for detecting metamorphic viruses. An experiment on the functioning of a multi-computer malware detection system was set up, and experimental studies were conducted. The conducted experiments included metamorphic virus detection. In addition, an experiment on the effectiveness of detecting the metamorphic code of viruses was conducted. The efficiency of detecting metamorphic virus code using the developed multi-computer system was also investigated, and the presence of improved detection was established. The directions of further work are to extend the results of this work to new types of malware.

The article assesses the development of retail e-commerce under the influence of global digitalization processes. The authors prove that current trends in the global economy reflect key aspects of the development of the digital economy and, accordingly, retail e-commerce. Under their influence, significant changes are taking place in the living conditions of society, market conditions and in the scientific sphere, and there is an increasing demand for highly qualified workers. The paper emphasizes that under the influence of profound and extensive changes brought about by digital technologies, conceptual models of business development and social communication are transforming, and the role of the state in the new digitalized environment is being reconsidered. These transformations require participants to be highly adaptable, develop new skills and competencies, and be ready to take advantage of digital transformation. The paper emphasizes that there are potential risks of negative impact of digital transformation, which are manifested primarily in the need to adapt to new conditions, such as the inevitability of displacement of outdated professions by new technologies or artificial intelligence systems, the disappearance of traditional markets, as well as the threats of personal data leakage and the need to protect copyrights and other aspects. The authors prove that e-commerce encompasses more than just online advertising or launching a virtual retail store. Successful enterprises in this area are based on reliable technologies of interaction with consumers, which arise from the experience gained in the early stages, sound business schemes and a carefully developed infrastructure for servicing business processes. The main advantage of using digital technologies in the field of online retail is the ability to predict demand and thoroughly study consumer needs.

Hybrid power supply systems (HPSSs) are considered as a good option for electric power supply of remotely located from the grid consumers due to significant fuel savings compared to diesel sets. Quick development and improvement of HPSSs may be achieved using specialized methodologies and programs. In the paper a schematic diagram is proposed and operation principles of a 400 V / 50 Hz HPSS were developed. The system’s main component is the master generating unit of the hydropower plant using a 250 kW induction generator (IG). The voltage of the system is controlled by the controller of the AC/DC power converter. The electrical frequency of the system is controlled by the speed controller of the hydropower turbine. A wind turbine, an energy storage system and a regulated dump load are connected to the IG through the AC/DC converter. Goal. The paper aims to develop a methodology for steady state performance analysis of the hydraulic turbine driven isolated IG operating in parallel through an AC/DC power converter with additional sources and consumers of active power. Methodology. The methodology for evaluation of performance characteristics of the IG operating in the proposed system has been developed. The methodology is based on the equivalent circuit of the system, equations of active and reactive power balance in the system and the superposition method. Results. The equations of frequency, voltage and power regulators of the system are given. The performance characteristics of the IG operating in the system supplying resistive and RL load in «constant voltage – constant frequency» mode are obtained. Novelty. The developed methodology is innovative in taking into account the control algorithms of the system. The comparative analysis of the IG’s performance operating in the stand-alone generating unit and in the generating unit connected to the proposed system is performed. Practical value. The developed methodology can be used for development and performance improvement of hybrid AC power systems.

Axiomatic Fredholm theory in unital C*-algebras was established in [D. Kečkić, Z. Lazović, Acta Sci. Math., 83(3-4):629--655, 2017]. Following the pure algebraic approach by Kečkić and Lazović, in the author's paper [S. Ivković, Banach J. Math. Anal., 17:51, 2023] we extended further this theory to axiomatic semi-Fredholm and semi-Weyl theory in unital C*-algebras. However, recently, in [S. Ivković, arXiv:2306.01133] we developed another approach to axiomatic Fredholm theory in unital C*-algebras which is based on the theory of Hilbert modules and is equivalent to the algebraic approach by Kečkić and Lazović. In this paper, we extend further that new Hilbert-module approach from Fredholm theory to semi-Fredholm and semi-Weyl theory in unital C*-algebras. Hence, we provide new proofs to the results in [S. Ivković, Banach J. Math. Anal., 17:51, 2023].

The paper summarizes some results on algebraic geometry presence in the homotopy theory. For the homotopy group πm(Sn), denote by πalgm(Sn) its subset of homotopy classes represented by ℝ-entire rational maps Sm→Sn of spheres. The main result of this paper concerns to the study of πn+kalg(Sn) for k=0,...,7.

This paper describes the possibilities of communication through information flows in the tasks of recognition and prediction using the example of assessing the change in the state of defects in materials.In the context of communication between several elements of the system, an important part is the formation of effective information flows and optimal messages. In this context, the grouping of information according to the principle of informativeness is proposed, using the example of the problem of recognition and further forecasting.Information transfer with the Internet of Things involves exchange over wireless networks and network protocols.In the paper, it is proposed to use the segmented area of the recognized object and use it to check the forecast. The paper proposes to use the segmented region of the recognized object in the image and use it to check the prediction. In addition, sensor data can be used to test defect classification. This design of information flows can improve performance.

The purpose of the article is to reveal the type and species structure of the array of literary and artistic publications released on the material and technical basis of Shevchenko Scientific Society in the first two periods of its activity and represented in the Digital Collection "Book Heritage of Shevchenko Scientific Society (1874-1913)" of Vasyl Stefanyk National Scientific Library of Ukraine in Lviv. In order to achieve this purpose, the author used descriptive, analytical, synthetic, comparative, classification, historical and book studies, and systematic and typological methods of scientific knowledge. The scientific novelty of the paper is to highlight the type and species features of the publications of Ukrainian fiction, their authors and customers. Conclusions. Analysis of the array of books, digital copies of which are presented in the Collection "Book Heritage of Shevchenko Scientific Society (1874-1913)" of Vasyl Stefanyk Lviv National Scientific Library of Ukraine, has shown the following typical features of the printed products of that time: dominance of publications (mostly lifetime, often first) of original works by Ukrainian writers; representation of works by Borys Hrinchenko, Stepan Rudanskyi, Yurii Fedkovych, Taras Shevchenko in the form of scientific multi-volume editions with extensive scientific and auxiliary apparatus (prefaces, introductory articles, notes and comments); high proportion of small-scale mono-editions of prose works: short stories, samples, novels, plays and polygraphs, mainly poetry collections; budget artistic and printing execution (except for anniversary and multi-volume editions); predominance of publications in paper covers decorated with ornamental frames. Given the short period for implementing the project to digitize books and brochures published by the printing house of Shevchenko Scientific Society, there are still many first editions outside the collection that are interesting for the research reader. Taking into account the above, it is appropriate to continue the work we have begun by enriching the collection with other contemporary publications, while improving the platform on which they should be presented.

The problem of the Ukrainian semiotic metalanguage still remains a subject of controversy for those who are interested in the scholarly heritage of the greatest and an extraordinarily prolifi c American philosopher, logician (mathematical and general) and semiotician Charles Sanders Peirce (1839 – 1914). In the course of his polymathic researches he created numerous terminological neologisms. The latter are most commonly rendered into Ukrainian applying transliteration. Peirce was extremely fond of placing things into groups of three, of trichotomies, and of triadic relations. His theory of signs is also based on his ʻtriadism’. The article discusses the interpretation of the fundamental categories of Firstness, Secondness, and Thirdness as presented in Peirceʼs work “A Guess at the Riddle” and focuses on the challenges of rendering these and other important terminological units of Peircean semiotics into Ukrainian. The article contains excerpts from the above mentioned Peirce’s work translated into Ukrainian by the author of this paper and the issues of translating Peircean neologisms are approached with the aim of revealing logic in the management of semiotic realities and specifi cally the logic of constructing diff erent Ukrainian equivalents. The lack of the generally accepted tradition of translating semiotic terms brings to life many terminological variants used by diff erent Ukrainian scholars and translators. The present paper reviews some terminological variants used by Ukrainian semioticians and seeks to provide arguments to support the necessity of selecting Ukrainian equivalents using the native stock of morphemes instead of applying transliteration of the original English terms. Following this line of thought, the author suggests her options for rendering such key semiotic terms as Firstness, Secondness, Thirdness, representation and determination, representamen and interpretant and some others and claims that the suggested approach is justifi ed and can ensure the adequacy of the translation and the unifi cation of the Ukrainian terminology of semiotics.

The current paper seeks to present an insightful re-reading of the works authored by the contemporary Ukrainian Shakespearean scholar, practicing translator, editor, and critic M. Hablevych (born 1950) through the prism of narratology. The focus is on one of the main topics of her scientifi c research – Shakespeare’s legacy in the light of his life and works. Methodological tenets of transgeneric narratology (P. Huhn, M. Kraan, E. Müller-Zettelmann) and reception aesthetics (R. Ingarden, W. Iser, R. Barth) comprise the ground for the research in the paper. The ultimate goal of the paper is to apply narratological concepts to the critical and theoretical works of Maria Hablevych as well as to analyze the Ukrainian translations of Shakespeare’s Sonnets by D. Pavlychko (1998) and N. Butuk (2011) against their background. It is argued that the “Author” concept as regarded by the multifaceted agent partially correlates with the “Author-function” by M. Foucault, fulfi lling the functions of narratorhood (M.–L. Ryan). Yet, it reaches beyond the traditional narratological understanding of the notion of Author. By applying the critical-theoretical method, the method of narratological analysis, the elements of interpretive textual analysis, and translation studies analysis, the article looks into the peculiarities of narratological categories reproduction in the Ukrainian translations. The latter bears signifi cance for the adequate reproduction of the ideological and semantic unity of the Sonnets. The paper reveals various degrees of their rendering, with the version by N. Butuk being considered the most successful and closest to the multifaceted agent’s interpretation.

The paper is dedicated to John Milton’s poem “Samson Agonistes” (published in 1671) and its two translations: the Ukrainian translation was done by Ivan Franko (1912; published in 1913), and the Slovak translation was rendered by Marián Andričík (2022). The translation strategies applied in both target texts illustrate the ways and limits of the reception and perception of common European – sometimes predominantly Christian – poetics among modern readers. Local divergences can contribute to the integral theory of textual recreations in reader-oriented translation strategies. The focus of the paper is on three hypotheses: 1) older translations have poorer quality than newer ones. The time span of a century is usually a period which can cause some linguistic changes turning an actual text into an outdated one; 2) Milton is a product of a monarchical society. Franko, as a citizen of an empire (Austro-Hungarian Empire), could better understand the monarchical expression than Andričík, as a citizen of a republic (Slovak Republic); 3) both Ukrainian and Slovak have similar problems and solutions for dealing with the high-fl own style of Milton’s text. The political dimension of high-fl own style can be traced throughout Milton’s poem: it gives some specifi c but not decisive fl avour to the text. The storyline focus is still on the biblical plot, and its violation can threaten the correct understanding of the poem. Despite the time span between Franko’s publication and today’s reader, this translation does not sound outdated, and it can satisfactorily perform all informative and aesthetic functions. Andričík’s translation is very precise: the brevity of his style impresses, while he manages to keep equilinearity in his translation. Moreover, the use of abstract nouns instead of specifi c high-fl own lexemes can serve as effi cient advice for other translators who have to cope with the lingual asymmetry.

The purpose of the paper is to thoroughly investigate the intricate relationship between the United States and Azerbaijan from 1991 to 2020, considering diplomatic, political, economic, and security dimensions. Emphasizing the pivotal role of Russian Federation in the South Caucasus, the research seeks to provide a holistic understanding of the factors influencing U.S.-Azerbaijan relations, offering valuable insights into evolving geopolitical dynamics over the three crucial decades. The novelty of the paper lies in its in-depth exploration of three decades of U.S.-Azerbaijan relations, the study provides unique insights into the evolving dynamics, contributing a comprehensive analysis of the multifaceted relationship. Conclusions. The author identifies 4 periods of US-Azerbaijan relations in 1991-2020: 1) 1991-2001, 2) 2001-2007, 3) 2007-2015, and 4) 2015-2020. From 1991 to 2001, the United States underwent a transformative phase in its policy towards Azerbaijan, marked by an increased focus on regional stability and economic partnerships through energy initiatives like the Baku-Tbilisi-Ceyhan pipeline. Security concerns in the South Caucasus also influenced policy decisions, while considerations of democracy and human rights were weighed against broader strategic imperatives. This period set the foundation for subsequent shifts in U.S. policy towards Azerbaijan. In 2001-2007, U.S. policy towards Azerbaijan underwent significant changes, prioritizing the Baku-Tbilisi-Ceyhan pipeline and intensifying efforts in combatting international terrorism. The Global War on Terror played a crucial role, leading to strengthened U.S.-Azerbaijan relations, though democracy promotion took a back seat to energy and security interests. The period from 2007 to 2015 saw a nuanced shift, with decreased U.S. focus on energy and security, increased attention to democracy and human rights, and challenges arising from Azerbaijan’s opposition to the Turkish-Armenian Rapprochement. Azerbaijan’s strategic concerns regarding Nagorno-Karabakh intensified, and U.S. engagement faced limitations in influencing regional outcomes. Between 2015 and 2020, U.S. policy towards Azerbaijan further disengaged across energy, security, and democracy promotion dimensions, influenced by factors like the unconventional oil and gas revolution, decreasing Central Asia significance, rising isolationism, and the Trump administration’s priorities. The U.S. response to regional dynamics, notably the Nagorno-Karabakh conflict, showcased a trend of reduced involvement.

The purpose of the paper is to highlight the development of information-psychological warfare, its history, concepts, technologies and methods, which are one of the most important areas of work in the field of international relations. The concept of ‘information warfare’ has concentrated a number of phenomena from the sphere of mass communications and during the 20th century was called various terms, such as ‘disinformation’, ‘propaganda’, ‘psychological warfare’, ‘psychological operations’. Within the scope of the study, the importance of psychological warfare in today’s context has been examined using the example of Azerbaijan and Armenia. It has been emphasized how Armenia effectively employed psychological warfare tactics and propaganda to gain an advantageous position in the late 20th century. In the early 21st century, the significance of Azerbaijan gaining a superior position in psychological warfare and using propaganda effectively has been discussed. Additionally, the article delves into the importance of using white propaganda during psychological warfare and the drawbacks of black propaganda within the context of the psychological warfare between Azerbaijan and Armenia. The novelty of the paper lies in a comprehensive analysis of information and psychological warfare and operations in the context of the Azerbaijan-Armenian conflict. Conclusions. In the 20th century information and psychological warfare and operations became part of the military policy of states. Now, due to the current situation on the world stage, the methods and means of conducting information warfare are changing and every year they are reaching a higher level. It can also be stated that in the 21st century, information wars have become more widespread. In summary, the historical context and evolution of information warfare demonstrate its enduring significance as a tool for states to achieve their strategic and political goals. As technology and global politics continue to evolve, information warfare is likely to remain a key component of statecraft and international relations.

War brings destruction in the broader sense, forcing millions to flee their homes, and resulting in an increased burden of depression, anxiety, PTSD and other mental and behavioral disorders. This burden grows even more in the framework of pandemics and natural disasters, as social and protection services experience crisis of resources. Providing one-to-one mental health care is no longer feasible for masses of refugee and internally displaced children and adults who need support, and, as a result, the need to have increasing numbers of mental health specialists who intervene in groups becomes more and more emergent. The paper reviews the Positum MGS approach to work with groups of children and adults in refugee settings, and not only, suggests the ‘Positum MGS coaching protocol’ within the framework of group Positive Psychotherapy (PPT after Peseschkian, since 1977)TM. Empirically supported and demonstrated by a case in the paper, the protocol being applied by a Positum MGS trainer or team of trainers, during an in-person training of 4-5 days, helps trainees greatly in learning to use psychosocial transcultural games and related techniques as resilience-building tools with groups of children, adolescents or adults. Either in the position of PPT trainers, psychotherapists, consultants or students, the participants in a Positum MGS core training and coaching or PPT training at basic or master levels with a focus of working with groups, can be supported through the suggested coaching protocol and questions in line with the 5-stage consultation of PPT.

Enterprises develop and interact with the global environment. Their activities are influenced by various factors, and timely identification of the degree of their influence allows forecasting business development and reasonably choosing development strategies. The work is based on the hypothesis that in the global environment, under the influence of internal and external factors, tools can be developed for enterprise assessment and business strategy formation. The puprose of the paper is to develop a toolkit for evaluating an enterprise in a global environment for choosing a development strategy. In the article, the authors conduct a study of the influence of factors of the global environment on the development of the enterprise, propose a model with the help of which it is expedient to forecast the metastate of the enterprise and put forward proposals for choosing an effective development strategy. A structural and logical model for ensuring the stable development of business systems has been proposed. In the process of research, the authors developed a system of indicators that form an integral index that characterizes the effectiveness of the development of business systems. The basis of the integral indicator of the metastate of the development of business systems is a set of indicators for assessing the development and changes in the state of business systems in a dynamic global environment. The economic and mathematical model of estimating the metastate of business systems is considered as a reflection and formalization of the main, essential parameters of business systems development (production, technological and property, personnel, social, financial, material and supply, marketing, foreign trade. The integral metastate index of business systems systematically reflects the effectiveness of the Kharkiv machine-building business systems and allows determining strategies for their development. The selected machine-building enterprises have been grouped by the following types of development strategies: a rapid growth strategy aimed at ensuring the development of enterprises, offensive positions; a strategy of moderate growth and stabilization, characterized by stable parameters of business systems development, adequacy of resources for development, aimed at saving resources and costs, market expansion and development, product upgrades, innovative development; a strategy of curtailment, reduction, which is characterized by negative development trends due to lower profits, reduced assets, reorientation of consumers to other products or markets. As a result of the research, a methodological approach to the assessment of trends in the development of business systems has been developed, which will allow obtaining additional advantages in the global environment. Determination of benefits becomes a basic characteristic for monitoring information provision regarding the organization of enterprise activities in a global environment. The paper makes a contribution to the research of the methodology for assessing the development of enterprises that can be applied to other enterprises, not only to the Kharkiv area. In the event of a change in the influence of global environmental factors, the degree of influence should be specified. The work offers an opportunity to develop further research from the point of view of strategic management, the concept of six sigma, and production optimization.

The paper investigated the audience's perception of the influence of government ownership of NTA on the principle of truth, fairness and balance. The media ownership theory and the social responsibility theory served as the theoretical underpinnings for the study. The study used a mixed method design, including an in-depth interview for the qualitative data and a survey for the quantitative data. The Wimmer and Dominick online sample size calculator was used to determine a sample size of 384 from the population of 555,500. Data was collected using a questionnaire and interview guide. Multi-stage and purposive sampling procedures were used. The results showed the respondents' high knowledge of the journalistic principles of truth, justice, and balance in news reporting. The respondents have a negative perception towards government ownership of NTA and the practices of the journalists regarding truth, fairness, and balance in news reportage, as the ownership affects the practices of journalists in upholding the principle of truth, fairness, and balance in news reportage. The study further revealed that the respondents perceive that the influence of government control of NTA limits the freedom of the press, which is against the ethics and demands of professional journalism. The paper concluded that when news stories are written and framed in the interest of the owners rather than the public interest, it kills journalistic ethics and professionalism as well as the social responsibility role of the media.

In the context of the Fourth Industrial Revolution, characterized by rapid technological advancements and widespread digitization, this paper delves into the evolving paradigms of historical education. Traditional teaching methods are becoming obsolete, given the tech-savvy nature of current learners. This study explores innovative pedagogical approaches that integrate technology, catering to the unique needs of this generation. By reviewing contemporary literature and gathering expert insights, we offer an overview of emerging trends in historical education. Notably, technology is poised to redefine how history is learned. Modern learners gravitate towards boundary-less learning experiences, enabled by resources like ebooks, ICT-based apps, websites, android platforms, VR, and virtual tours. To stay relevant, a significant shift in historical education is imperative. This paper concludes by emphasizing the profound implications of this transition and proposes actionable recommendations for educators and policymakers.

The paper investigates the Ukrainian older adults’ social, economic, and humanitarian circumstances in the context of the russian war against Ukraine. It mainly analyses the challenges and needs of the elderly residing in regions affected by active hostilities, those who have experienced occupation, and internally displaced older persons. The main problems for older people in the areas of active hostilities and those who have been in the occupied territories are loss and (or) damage of housing; difficulties in evacuating, especially lonely people and those who lost social (family) support; destruction of institutions for the elderly and disabled as well as medical infrastructure; increased poverty and limited access to basic food, hygiene, and medicine, poor health; vulnerability to war crimes by the occupiers. For internally displaced older persons, the following problems are determined: the shortage of housing in slightly safer regions; limited financial opportunities for rental housing and meeting other basic needs (food, medicine, etc.); significant deterioration of health conditions forced by the physical and psychological trauma experienced and displacement during the war; living in temporary shelters with an increased risk of being placed in institutions for the elderly. There are some of the most urgent needs of older people in Ukraine in the context of war: various medicines and hygiene products; food and its delivery to the affected regions; transporting older people, including transferring them to the bomb shelters; increased need for medical care, psychological and social rehabilitation; help with home care and household chores. The paper underlines the resilience of older adults to the hardships they face, their high level of self-organisation and mutual assistance during russia’s war against Ukraine.

The article aims to extend our understanding of physical and psychological types of ambiguous loss through a systematic review based on content and psycholinguistic analysis. The study encompassed articles aligned with ambiguous loss published between 2019-2023, retrieved from PsycINFO, Web of Science (WoS), and Scopus. To eliminate the bias in the literature review, the study extracted published articles, dissertations, book chapters, and preprints with titles containing the search term “ambiguous loss”. Two reviewers (the first and the third authors worked independently) examined titles and abstracts and identified papers highlighting physical (n=34) or psychological (n=23) types of ambiguous loss. The physical type results from physical absence of meaningful persons (e.g. abducted, missing, adopted), while the psychological type results from psychological absence of meaningful persons (e.g. dementia, mental illness, addiction). The study applies the conceptual and relational content analysis of Leximancer (version 4.5) to develop three cluster maps and lists of concepts separately for physical and psychological types and all selected papers published between 2019-2023. The results show that the physical type primarily encompasses situations related to adoption, potentially leading to the ambiguous loss experienced by both biological parents and children when facing forced separation. Psychological type includes parents of children with disabilities, shaken baby syndrome, and caregivers of individuals with brain injuries and cancer. The present study indicates that the conceptual boundaries between physical and psychological types of ambiguous loss are not only expanding but also erasing, giving way to new applications in settings such as the COVID-19 pandemic, organ donor families, and sexual and gender minority. Disclosure Statement No potential conflict of interest was reported by the authors. Data Availability Statement The data that support the findings of this study are openly available in Mendeley Data: Zasiekina, Larysa; Zasiekin, Serhii (2023), “Ambiguous loss_abstracts_2019-2023”, Mendeley Data, V1, https://doi.org/ 10.17632/dscy8m4g37.1 * Corresponding author: Larysa Zasiekina, 0000-0001-8456-0774 zasyekina.larisa@vnu.edu.ua

At the current stage of development of a market economy, the efficiency of the state depends on the quality of budgeting and execution, as it is the main instrument for mobilising and spending public resources. The purpose of this study was to diagnose the revenues and expenditures of the State Budget of Ukraine under martial law, to identify the main problems that impede effective budget formation and execution, and to provide recommendations on how to eliminate them. The study used empirical, theoretical, and statistical research methods, namely description and comparison; synthesis, analysis, and generalisation. The paper examined the essence of the state budget according to the opinions of foreign and Ukrainian researchers. Based on the statistical data, the study described the current state of the state budget and analysed the dynamics of budget revenues and expenditures in 2018-2022. The structure of tax and non-tax revenues to the state budget was investigated. The structure of the state budget expenditures was analysed in terms of economic and functional classification. The budget deficit was analysed. The study highlighted the main problems related to the preparation and execution of the state budget, namely: military operations in the country leading to capital outflows; a decrease in the growth rate of the gross domestic product and a decline in production; insufficient filling of the reserve fund; an increase in tax rates leading to tax evasion by business entities; instability of the national currency; lack of an effective strategy for budget preparation and execution; imperfect control over the implementation of budget programmes. The paper offers recommendations on how to overcome these problems and promote optimisation of the revenue and expenditure sides of the state budget. The results of the study are of practical importance, since it is based on the analysis of the state budget indicators that the state of the budget is determined and ways to balance the revenues and expenditures of the State Budget of Ukraine are identified

Introduction. The introduction to the paper highlights the advantages of the «foundation concept» based on the interpretation of a pavement as the construction comprising the two main consecutively designed and constructed elements: the pavement foundation and the pavement construction itself. The realization of that concept allows the design and construction of so-called long-life pavements according up to 400 msa using hydraulically bound mixtures [2], or HBM. Problem Statement. The issues of the paper concern the problems of implementation of the European standards related requirements into native systems for road pavements designing. Purpose. The goal of the paper is to analyze the main provisions of the «foundation concept» and its possibilities in the application of the European standards requirements concerning road materials for the improvement of current systems for road pavements design. Results. The classification of the road pavement foundations was reviewed which is based on the long-term confined foundation surface modulus (FSM) values and comprises four classes (FC): FC1 – FSM ≥ 50 МPа; FC2 – FSM ≥ 100 МPа; FC3 – FSM ≥ 200 МPа; FC4 – FSM ≥ 400 МPа. According such classification, the two methodologies for the pavement foundation design were briefly reviewed and compared: the restricted foundation design and the performance foundation design.

Introduction. The introduction to the paper highlights the importance of the design and construction of highways of various link functions levels as a key factor in modern integration processes and also emphasizes the role of highways for substantial increasing of the road network safety. Problem statement. The issues of the paper concern aspects of highways design based on the experience of European colleagues in the context of the provisions of the relevant legislative acts of EU. Purpose. The goal of the paper is to analyze the main provisions for the design of continental, subcontinental and transregional highways considering, within the format of the publication, the design features of the highways elements which are universal for various design systems. Results. The highways categorization regarding their link functions levels and with this categorization linked classification by design classes were reviewed which accept the highways jurisdiction and the build-up areas related location and also the corresponding restrictions on vehicle speed limits. The highways characteristics were defined allowing the determination of highways as a separate category of motor roads in the world-wide practice of the road building industry.

In the 21st century, the issue of energy security is an important challenge for many states. Energy independence is an important component of the country’s national security. That is why its development is considered a priority of the country’s economic policy. Along with the trends of globalization, international energy relations are increasing day by day. However, the issue of energy security and vulnerability is equally on the agenda, which in turn is related to the problems of access to energy resources and the aggressive appeal of industrialized states with this issue, which creates a destabilizing vulnerable environment in the state. This issue was clearly revealed in the background of the 2022-2023 war between Russia and Ukraine. The mentioned issue is one important part of this paper, along with which the issue of renewable energies is also discussed. Renewable energies, the so-called practical way to get rid of petroleum products is growing more and more. Accordingly, the mentioned work considers both issues equally on the example of the European Union’s energy security strategy, within the framework of the Russia-Ukraine war. The paper discusses the European Union’s energy security policy and current challenges.

In this paper, we address the stabilization problem for nonlinear systems in a critical case. Namely, we study the class of canonical nonlinear systems. Canonical nonlinear systems or chain of power integrators is an important subject of research. Studying such systems is complicated by the fact that they cannot be mapped onto linear systems. Moreover, they have the uncontrollable first approximation. Previous results on smooth stabilization of such systems were obtained under the assumption that the powers in the right-hand side are strictly decreasing. In this work, we consider a case of non-increasing powers in the right-hand side for a three-dimensional system. A popular approach for studying such systems is the backstepping method, which is a method of step-wise stabilization. This method requires a sequential investigation of lower-dimensional subsystems. Backstepping enables the study of a wide range of nonlinear triangular systems but requires technically complex and cumbersome computations. Therefore, a natural question arises about constructing stabilizing controls of a simple form. Polynomial controls can serve as an example of such controls. In the paper, we demonstrate that linear controls can be considered as stabilizing controls. We derive sufficient conditions for the coefficients of the linear control that ensure the asymptotic stability of the zero equilibrium point of the corresponding closed-loop system. The asymptotic stability is proven using the Lyapunov function method, which is found as the sum of squares. The negative definiteness of the Lyapunov function derivative in a neighborhood of the origin guarantees asymptotic stability. In contrast to the case of strictly decreasing powers, additional conditions on the control coefficients, apart from their negativity, emerge. The obtained result extends to a broader class of nonlinear systems through stabilization by nonlinear approximation. This allows the consideration of systems with higher-order terms in the right-hand side. The effectiveness of the applied approach is illustrated by several model examples. The method used in this work to investigate the case of non-increasing powers can be applied to systems of higher dimensions.

This paper gives insight into the theoretical and practical aspects of Collaborative Online International Learning (COIL) - a pedagogy that is fast emerging as a more democratic and dynamic alternative to traditional in-person student exchange programs. This pedagogy is currently gaining popularity among Ukrainian educators who are looking for new ways to engage students in international collaboration amid the emergencies of the ongoing war conflict in the country. The paper is a preliminary report of the research in progress which aims to investigate whether COIL can level the unevenly developed language and academic skills of the collaborating Spanish and Ukrainian students. The reported preliminary findings of one of the three collaboration projects carried out by the faculties of Taras Shevchenko National University of Kyiv (KNU) and Universitat Jaume I (UJI) show a range of benefits including academic skills enhancement, improvement of intercultural competence as well as personal satisfaction. The authors also shed light on the challenges encountered when introducing COIL activities into the classroom. Taken together, the article provides an insightful overview of the benefits and limitations of COIL strategies as a means of promoting intercultural and interdisciplinary learning and understanding.

This text is a review of the OUP Position Paper authored by Donaghy, K. with the assistance of two consultants – Karastathi, S. and Peachey, N. The primary objective of this review is to provide a detailed analysis of the ELT Position Paper, examining its structure, content, and theoretical issues. After a thorough examination of the publication, the reviewer concludes that it is of utmost importance to restructure the primary components of communicative competence in teacher training curriculums worldwide, including those taught at Ukrainian universities. This is because of the emerging views on the multimodality of present-day learning and communication which emphasize the need to reflect topical aspects of new ideas about multimodal communicative competence. Thus, this review highlights the need for a significant shift in the way we approach English language teaching to non-native speakers, particularly in terms of teacher training. It is essential to incorporate modern concepts and theories to ensure that learners of English as a second or foreign language can communicate effectively in the contemporary world