bluuebunny/crossref_metadata_2025 huggingface dataset:
PENGEMBANGAN MODUL IPA BERBASIS PROJECT BASED LEARNING (PJBL) UNTUK MENINGKATKAN PENGETAHUAN FAKTUAL DAN KONSEPTUAL SISWA SMP KELAS VIII
Authors: Triyanti Merti , Sulistiyono Sulistiyono
Published: December 2023

Penelitian ini bertujuan untuk (1) menghasilkan modul IPA berbasis PjBL yang layak dan dapat digunakan untuk siswa SMP kelas VIII, (2) mengetahui keefektifan modul IPA berbasis PjBL terhadap pengetahuan faktual siswa SMP kelas VIII. Dan (3) mengetahui keefektifan modul IPA berbasis PjBL terhadap pengetahuan konseptual siswa SMP kelas VIII. Metode yang digunakan dalam penelitian ini adalah metode penelitian pengembangan atau (R&D). Model pengembangan yang digunakan dalam penelitian ini adalah model pengembangan 4-D yaitu pendefinisian (Define), perancangan (Design), pengembangan (Develop), dan tahap penyebaran (Disseminate). Teknik analisis data yang digunakan dalam penelitian ini adalah validasi Ahli terhadap produk hasil pengembangan dan analisis keefektifan peningkatan pengetahuan faktual dan konseptual siswa setelah mengikuti kegiatan pembelajaran dengan menggunakan modul hasil pengembangan. Kelayakan modul IPA berbasis Project Based Learning (PjBL) berdasarkan hasil validasi yang telah dilakukan oleh ahli pada aspek materi, aspek media dan aspek bahasa terhadap modul IPA berbasis Project Based Learning (PjBL). Pada aspek materi sebesar 55 termasuk dalam kategori “Baik”. Pada aspek media diperoleh nilai sebesar 45 termasuk dalam kategori “Baik” dan pada aspek bahasa juga diperoleh nilai sebesar 30 termasuk dalam kategori “Baik”. Sehingga modul IPA berbasis Project Based Learning (PjBL) pada materi sistem tata surya layak untuk digunakan pada kegiatan pembelajaran. 3) Modul IPA berbasis Project Based Learning (PjBL) pada materi sistem tata surya dapat meningkatkan pemahaman faktual dan konseptual siswa ditunjukkan dengan nilai standard gain sebesar 0,52 (kategori sedang).
TINGKAT KELAYAKAN BAHAN AJAR MATAKULIAH MORFOLOGI BAHASA INDONESIA BERBASIS KONTEKSTUAL PADA MAHASISWA PROGRAM STUDI PENDIDIKAN BAHASA DAN SASTRA INDONESIA UNIVERITAS PGRI SILAMPARI
Authors: Astuti Tri , Muslihah Nur Nisai
Published: December 2023

Dalam proses pembelajaran, bahan ajar memegang peranan yang sangat penting karena bahan ajar akan menentukan kualitas dan hasil pembelajaran. Oleh sebab itu, pentingnya memperhatikan tingkat kelayakan bahan ajar yang akan digunakan. Melalui penelitian pengembangan pendidikan (educational research and development) ini penulis bertujuan ingin mengetahui tingkat kelayakan bahan ajar matakuliah Morfologi Bahasa Indonesia berbasis konstektual Tingkat kelayakan dalam pelitian ini dilihat dari hasil uji validasi ahli, uji kepraktisan, dan uji tingkat keterbacaan bahan ajar. Model penelitian pengembangan yang digunakan merupakan modifikasi model Borg and Gall. Subyek penelitian adalah mahasiswa semester III Program studi Pendidikan Bahasa dan Sastra Indonesia, Universitas PGRI Silampari yang mengambil mata Kuliah Morfologi Bahasa Indonesia. Metode pengumpulan data menggunakan data angket dan tes hasil belajar. Hasil penelitian dianalisis secara kualitatif dan kuantitatif. Dari hasil penelitian diperoleh data uji validasi desain sebesar 0.90 kategori validasi sangat tinggi, validasi materi 0,85 kategori validasi sangat tinggi, dan validasi bahasa 0.90 kategori validasi sangat tinggi. Jika dihitung rerata hasil uji validasi diperoleh tingkat validasi sebesar 0.88 dalam kategori sangat tinggi. Sementara hasil uji  kepraktisan melalui tiga kelompok evaluasi, yaitu evaluasi one to one diperoleh nilai kepraktisan 95% (sangat praktis), evaluasi small group tryout  diperoleh nilai kepraktisan 92.44% (sangat praktis), dan evaluasi field tryout diperoleh nilai kepraktisan 87.08 (sangat praktis). Rerata nilai kepraktisan diperoleh sebesar 88.58 kategori sangat praktis. Untuk tingkat keterbacaan mahasiswa terhadap buku ajar diperoleh rerata nilai hasil belajar sebesar 81.07 kategori sangat baik. Dengan demikian, dapat dikatakan bahwa bahan ajar memiliki tingkat kelayakan yang sangat tinggi dan sangat baik.
PENERAPAN MODEL PEMBELAJARAN THINK PAIR SHARE DENGAN TEKNIK INDEX CARD MATCH UNTUK MENINGKATKAN HASİL BELAJAR KOGNITIF PESERTA DIDIK SMP PADA MATERI PENGUKURAN
Authors: Tampi Munawwaroh , Irawan Dedi , Azizahwati Azizahwati
Published: December 2023

Penelitian ini bertujuan untuk mendeskripsikan penerapan model pembelajaran think pair share dengan teknik index card match terhadap hasil belajar kognitif peserta didik dan untuk mengetahui perbedaan hasil belajar peserta didik antara yang menerapkan model pembelajaran think pair share dengan teknik index card match dengan model pembelajaran konvensional pada materi pengukuran di SMPN 2 Pujud. Subjek dalam penelitian ini meliputi kelas VII 1 dan VII 2. Sebelum diberi perlakuan berupa penerapan model pembelajaran think pair share dengan teknik index card match peserta didik terlebih dahulu diberi soal pretest dan setelah diberi perlakuan peserta didik diberi soal posttest. Metode penelitian yang digunakan adalah quasi experimental dengan menggunakan rancangan nonequivalent kontrol group design. Hasil analisis deskriptif pada kelas eksperimen memperoleh skor daya serap rata-rata sebesar 62,9 dengan standar deviasi 11,88 berada pada kategori cukup efektif pada efektivitas pembelajaran. Sedangkan pada kelas kontrol memperoleh skor daya serap rata-rata sebesar 52,8 dengan standar deviasi 11,31 berada pada kategori cukup efektif pada efektivitas pembelajaran.
INTERACTION OF MICROBIOLOGICAL AND MEMBRANE TECHNOLOGIES OF WASTEWATER TREATMENT
Authors: Mel’nyk V. , Shafarenko M. , Ostapenko Zh. , Kosova V. , Rhuzinska L.
Published: December 2023

The combination of microbiological and membrane technologies for wastewater treatment from organic substances of various origins is considered. An experimental installation of a membrane-distillation bioreactor is proposed. When carrying out the proposed wastewater treatment in one device, the process proceeds in two stages. The first stage is biological treatment under anaerobic conditions of biogas production, and the second stage is post-treatment using membrane distillation on ultrafiltration membranes. We analyze anaerobic wastewater treatment through horizontal channels by passing through media - thin-sheet filter loads (drains), which contain immobilized microorganisms that form a biofilm layer. Anaerobic digestion is accompanied by the production of biogas, which is collected and discharged into a special tank. Under the action of bacteria during the acetogenic phase, acetic acid is additionally produced from the substances formed in the previous phase, which is decomposed into methane, carbon dioxide and water during methanogenesis. It has been shown that ultrafiltration membranes are used as a wastewater treatment. It is proved that wastewater diffuses through the drainage under the influence of a pressure drop of 200 mmHg and at a temperature of 35-38 °C. It is determined that the treated water can have a high content of organic matter from 100 to 104 mg of impurities/liter of water. As a result of the anaerobic process, the biogas yield was found to be from 0.1 to 6 m3 of biogas/(m2∙day), depending on the content of organic matter in the wastewater. A continuous process of wastewater treatment in a closed technological cycle is proposed.
NON-TRADITIONAL SOURCES OF PROTEIN IN THE FEEDING OF AFRICAN CATFISH CLARIAS GARIEPINUS
Authors: Umanets R. M. , Balanchuk L. V. , Nedashkivskyi V. M. , Chudak R. A. , Tsap S. V. , Kryvyi M. M. , Koroban M. P
Published: December 2023

Aquaculture is one of the fastest-growing industries in the world. It supplies half of the world's fish products consumed annually. Therefore, the future global demand can be satisfied only by expanding and intensifying aquaculture production, which, in turn, requires an increase in the production of complete ration compound feeds. This prompts the need to increasingly use alternative feed ingredients to satisfy the significant protein and energy needs of fish, which is a challenge for feed producers on the one hand and a relevant topic for researchers on the other. Currently, unfortunately, there’s not enough research on new fish feeds, especially with the possibility of using non-traditional protein sources in compound feeds. It’s well known that one of the alternative ways to ensure high productivity and reduce the cost of aquaculture products is to replace fish meal with cheaper vegetable protein. The main problem is to preserve its biological value. Vegetable protein is characterized by a lower content of certain amino acids, including irreplaceable ones, and fish necessity for them in several times higher than warm-blooded animals. Therefore, such a replacement shouldn’t lead to a decrease in the biological value of the diet. The article summarizes the results of global scientific research on the possibility of replacing fish meal with various sources of protein in compound feeds for African catfish, Clarias gariepinus. The use of alternative protein sources and their replacement of deficient and rather expensive fish meal are now gradually gaining relevance in the aquaculture industry.
DYNAMICS OF STATE HORMONES IN THE BLOOD OF BITCHES
Authors: Forkun V. I. , Bobrittska O. M.
Published: December 2023

The article is devoted to the establishment of age-old features of the neuro-humoral regulation of creative function in bitches. The experiment was carried out on 15 bitches (Canis familiaris) of the Bull Terrier breed (mature bitches with a middle age of 4.8; young - with a middle age of 1.4 years; old - with a middle age of 8.6 years). In the blood plasma of bitches over the course of a long period of time, follicle-stimulating hormone, luteinizing hormone, estradiol and progesterone were vibrated at different intervals. With doslizni, the young people have a bitch in the row of the Lutheanizuyuchi hormone (at 120–150 a doba of the Pisl splash LH-ղ²ᵪ = 0.46; p≤0.05), ESTRADIOLOOLOLOLOOLOLOL (for three that one doba for the day after the LH surge – ղ²ᵪ=0.45–0.62; P≤0.05–0.001), and progesterone (on the 23–30th day after the LH surge – ղ²ᵪ=0.43; P≤0.05). In older bitches, the eyelid rises to the level of follicle-stimulating hormone (on the 4th, 9th and 23–30th day after the LH surge - ղ²ᵪ=0.43–0.48; P≤0.05) and progesterone (on 9 the 35th–40th day after the LH surge – ղ²ᵪ=0.50-0.52; P≤0.05). The formation of influx is characterized by a greater level of state hormones in the blood of reproductive bitches of middle age compared to reproductive bitches of older and younger age. The difference in the level of state hormones in females of different ages will increase due to gravidity.
PROMISING AREAS OF INSOLATION TECHNOLOGIES
Authors: Kucherenko Lіlіya , Babii Ihor , Sologub Marina
Published: December 2023

This article is dedicated to the study and analysis of modern insolation technologies aimed at improving comfort and energy efficiency in the urban environment. Analysis of the challenges faced by insolation in modern cities. Focusing the study on the energy efficiency aspects of buildings. A key aspect of the study is the use of dynamic and kinetic technologies in the architectural environment to improve the insolation characteristics of buildings and their interior spaces. Innovative approaches, technological solutions, and examples of successful implementation of these technologies in different cities of the world are considered. The results of the study create a basis for further research on innovative solutions for the use of solar radiation.
FACTORS AND PREREQUISITES FOR THE FORMATION OF NEW TYPOLOGICAL CHARACTERISTICS OF THE REGION OF EASTERN UKRAINE
Authors: Golodnov Oleksandr , Shvets Vitaliy , Sokolenko Kostyantyn
Published: December 2023

The prerequisites and factors of the formation of a new type of region in the east of Ukraine have been studied. The principles and tasks of effective regional policy in modern conditions have been established. Typological differences make it possible to determine the patterns of functioning, formation and development of regions. Problems and tasks of the development of regions that are solved in the process of urban planning depend on the type and main features of the function and shape of the region. After the occupation, the state will receive two factors that will shape the problem of changing the territorial planning organization of the region and region. This is the border factor and the reintegration factor of the region that was under occupation for a long time. Trends in the development of urbanized territories and urban agglomerations strengthen the processes of formation of territorial settlement systems at the sub-regional, regional and sub-district levels. Generalized goals of regional policy determine the forecast strategy of the region's development. The structure of the regional forecast should include the following types: demographic, natural resource, economic. The general scheme of planning the territory of Ukraine aims to establish state priorities regarding rational types and modes of use of the country's territory, taking into account socio-economic needs, environmental limitations, resource opportunities and regional differences. The general scheme defines the prerequisites that contribute to the use of the territory of Ukraine. For the eastern region of Ukraine, there is a task of functional arrangement of the planning structure, taking into account the change in form. The main formative aspect is the border of the state. Objects, areas of military purpose, which form the supporting frame of the security belt, also become a derivative element. The urban planning analysis allows us to conclude that the border region will have a configuration with an impact zone of up to 50 km - the first zone of existential danger. Up to 200 km of the general strip of the border region, which will feel the influence of the border with the enemy state. In the first zone, the implementation of measures of a restrictive nature, structural transformation of communication routes and roads, pipeline infrastructure, etc., a general decrease in the population and network of settlements is expected. In the general strip, inter-village connections are formed, oriented in the direction of the center. A potential threat is the deindustrialization of the region, the decline of single settlements focused on the coal mining industry.
PLANNING ORGANIZATION OF RECREATIONAL AND HEALTH COMPLEX FOR MILITARY PERSONNEL IN THE MOUNTAINOUS REGIONS OF UKRAINE
Authors: Bondar Alona , Maksymenko Maryna , Safronenko Ivan , Kuzmenko Vladyslav
Published: December 2023

Modern military spaces demand comprehensive solutions to enhance the physical, mental, and social well-being of servicemen. Our research is focused on developing the planning organization for a recreational and health complex for military personnel in the mountainous regions of Ukraine.

The emphasis of the work is placed on utilizing natural resources of mountainous terrain to create an effective and environmentally sustainable recreational complex. The possibility of using high-altitude areas for active recreation, mountaineering, and other extreme sports is explored.

Special attention is given to the psychological aspects of servicemen's recovery. We propose the creation of specialized zones for psychotherapy and psychological rehabilitation, where innovative methods and technologies are applied to improve mental health.

The article also discusses the issue of infrastructure organization of the complex, including living conditions, nutrition, and ensuring safety. Recommendations for establishing effective medical facilities and health and safety provisions within the investigated area are provided.

This work aims to provide scientific foundations for planning and organizing recreational and health zones for military personnel in the mountainous regions of Ukraine, contributing to the improvement of the physical and mental well-being of servicemen and enhancing their combat readiness.
PREREQUISITES FOR THE IMPLEMENTATION OF 3D TECHNOLOGY FOR THE MANUFACTURE OF METAL PRODUCTS AND EXAMPLES OF ITS APPLICATION
Authors: Doroshenko Volodymyr S. , Yanchenko Olexander B.
Published: December 2023

A brief overview of modern additive manufacturing equipment, 3D technologies and leading companies in this field is provided. Such production for the modeling and optimization of casting structures and the production of metal products corresponds to the concept of Industry 4.0, aimed at obtaining competitive products quickly, conveniently, variably, with minimal personnel and the desire to exclude the subject from the technological cycle of production, close to the requirements of the consumer, including industrial and construction hardware. 3D technology, which includes the optimization of structures by digital methods, is an effective means of reducing the cost and weight of metal structures, reducing metal consumption. At the current transition stage to mass additive production, there is a need for a gradual combination of digital and traditional technologies in the process of industrial development on an innovative basis, which is an effective mechanism for overcoming the crisis phenomena of the war and post-war periods. In this regard, the use of 3D technology for obtaining cast metal structures, in particular those made by casting according to gasifying models, has significant opportunities. There are three examples of the application of 3D technology for printing metal structures, in the process of manufacturing lightweight openwork castings, which includes printing a foundry sand mold, and during 3D milling of a one-time foundry pattern from polystyrene foam. As one of the key drivers of Industry 4.0, 3D technologies, according to experts, are capable of standing on a par with traditional technologies, and in the near future, replacing at least half of the existing machine park and procurement equipment. There is a lot of talk about what is holding back the active use of 3D printers by enterprises, but the most common limitation is the unwillingness of the enterprises themselves to rethink, engineer their production, put it on the rails of digital technologies; certainly, it is difficult, but necessary to maintain their competitiveness.
ANALYSIS OF THE EFFECT OF UNEVEN DAMAGE OF REINFORCED CONCRETE BEAM USING THE FEMAP SOFTWARE PACKAGE
Authors:   Lviv Polytechnic National University, Mykhalevskyi N.A. , Vegera P.І. ,   Lviv Polytechnic National University, Blikharskyy Z.Y. ,   Lviv Polytechnic National University
Published: December 2023

In most buildings and structures, reinforced concrete elements, which are operated with various damages and defects, are used. This article presents the results of theoretical studies of unevenly damaged reinforced concrete beams using the FEMAP software package. The occurrence of defects and damages leads to the danger of operation of buildings and structures, changes in the stress-strain state, and can lead to a decrease in the stiffness and bearing capacity of the structure. Defects and damages occur under the influence of the external environment, mechanical impacts, aggressive environment, and because of an explosion. The study aimed at analyzing the effects of the occurrence of uneven damage to reinforced concrete beams is of great practical importance in the future calculation of the residual bearing capacity and determination of the stress-strain state of a reinforced concrete element. Therefore, for theoretical studies, we use the finite element modeling of reinforced concrete elements in the FEMAP software package. The simulations were performed with different types of damage caused by wetting, alternating freezing, and thawing, and the stresses in concrete and reinforcement were analyzed using the finite element method (FEM), which is an effective numerical method for solving engineering problems. Based on the modeling results, the stresses were compared with the ultimate stresses, and the deformability of unevenly damaged reinforced concrete beams was determined. The results of the theoretical studies can be used in the future for practical experiments and are of practical importance in choosing the optimal method for calculating the residual bearing capacity of a reinforced concrete element. The importance of this study lies in its potential ability to improve the safety of building structures and reduce the risk of hazards during the operation of structures. The effectiveness of the FEM method, combined with these results, opens up new opportunities for engineers and researchers and can serve as a basis for improving the methods of calculating reinforced concrete elements under load using the latest finite element modeling technologies.
Professional sustainability of volunteers in context ecological approach under the conditions of war
Authors: Shevchenko Roman
Published: December 2023

The article reveals the peculiarities of volunteering, which contributes to the development of the employee's professionalism, and also contributes to the development of such values as tolerance, tolerance, an active life position, and responsibility. The purpose of the article is to characterize the volunteering of employees in the context of professional growth. Involvement of volunteers in various activities and programs changes their value priorities, in both directions, from the values of personal life (love, happy family life, productive life) to the value of self-realization and moral responsibility (interesting work, material status, honesty, tolerance, etc.). Among the empirical methods of research, the following were used: V. Boyk's "Diagnostics of the level of emotional burnout", M. Rokych's "Value orientations" method and O. Kokun's "Professional sustainability" method. According to the above-mentioned methods, the following components of the professional sustainability of volunteers are highlighted: emotional, motivational, social and professional components. Emotional exhaustion of volunteers is caused by psychosomatic and psychovegetative disorders, which is characterized by psychophysical fatigue of a person, desolation, leveling of one's own professional achievements, communication breakdown, development of cynical attitude towards the victims and development of psychosomatic disorders. In the majority of all subjects, personal detachment (depersonalization) is observed when performing professional duties and activities in general. Conclusions. Personal qualities that need to be developed and improved play an important role in this process. One of the important factors is the formation and development of civic competence of volunteers. thus, participation in volunteer activities allows for the development of a valuable component of civic competence, which is realized through the manifestation of the civic values of an individual.
Axiological transformation of modern Russian constitutionalism
Authors: Baburin Sergey N.
Published: December 2023

The article poses the problem of axiological (value) transformation of modern Russian constitutionalism as the main creative factor in the modern development of constitutionalism, an indispensable condition for the successful civilizational revival of Russia. The purpose of the study is to analyze the development of modern constitutionalism as the leading form of political and legal development of the modern state, the goals, principles, methods and value content of its transformation, need to build integration constitutionalism on strengthening traditional spiritual and moral values. The tasks of the value assessment of Russian constitutionalism, the reasons for Russia’s rejection of Western constitutional universalism, its return to traditional spiritual and moral values that need further constitution are solved. General scientific and special research methods are used, including dialectical and concrete-historical, methods of formal logic, analysis and synthesis, comparative legal and interpretation methods, which makes it possible to identify trends in the development of Russian constitutionalism, to assess the strategic tasks of its further development. As conclusions, the value changes in the meaning of many norms of the Constitution of the Russian Federation, carried out by the constitutional amendment of 2020, the conviction of the Russian state and society that the evolution of liberalism, which ideologically relied on freedom as a preference for the elite, which has always been only an illusion of freedom, ends with the totalitarianism of transnational corporations. Westernism as a social phenomenon of the spiritual mutation of European civilization, having become the dominant phenomenon in the life of Western peoples, turning them into an environment and a means of their being, further promotes the process of social degeneration and spiritual and moral degradation of Western European civilization. In the context of the civilizational crisis, Russia has found the strength to rely on its own traditional values, decisively transforming the axiological foundations of its constitutional system. At the same time, constitutionalism is considered as a social, spiritual and moral process of legitimation of the Constitution by the people, the adoption of the Constitution by society as a value. Strategic tasks of modern Russian constitutionalism are formulated: the continuation of the reconstruction of the Constitution of the Russian Federation on the basis of strengthening the harmonious unity of traditional spiritual and moral values in it, which alone can give a new quality of the Russian state, which should become democratic, legal, social and moral; the Constitution of the Russian Federation should include axiologically verified norms of integration constitutionalism; synchronization of axiologically compatible constitutional reforms within the framework of the Eurasian Economic Union, which should end with the adoption of a new Constitution not of the Russian Federation, but of the Russian Union.
Insignificance of the act (concept and relation)
Authors: Batyukova Vera E.
Published: December 2023

The authors analyze the concept of insignificance contained in Part 2 of Article 14 of the Crimi-nal Code of the Russian Federation. They consider the signs of this concept, analyze law enforcement practice, criticize some of the provisions established in the theory of criminal law. They provide a list of signs of insignificance of the act.
ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO SECOND ORDER DIFFERENTIAL EQUATIONS WITH NONLINEARITIES, THAT ARE COMPOSITIONS OF EXPONENTIAL AND REGULARLY VARYING FUNCTIOS
Authors: Bilozerova M.
Published: December 2023

One of the most actual problems of the modern qualitative theory of ordinary differential equations is the study of nonlinear and, especially, significantly nonlinear non-autonomous differential equations. Among the works in this area related to establishing the asymptotic properties of solutions, the largest part consists of studies of equations with power-law nonlinearities and nonlinearities asymptotically close to power-law nonlinearities, as well as with exponential nonlinearities. The premise of these studies was the study of the Emden–Fowler equation, partial cases of which are used in nuclear physics, gas dynamics, fluid mechanics, relativistic mechanics, and other fields of natural science. The existence conditions and asymptotic representations of a sufficiently wide class of solutions of substantially nonlinear second-order differential equations are found in the paper. This class of solutions was introduced in the works of V. M. Evtukhov for equations of the Emden-Fowler type of the nth order and specified for the equation of the second order. The investigated differential equations contain nonlinearities, which are compositions of exponential and correctly variable when the argument is directed to a special point of the functions. An important difference of this class of equations is the
impossibility of even asymptotically representing the nonlinearity in the form of a product of functions, each of which depended either only on the unknown function or only on the derivative of the unknown function. The class of studied solutions contains properly variable solutions of such equations. In the work, asymptotic images are obtained both for the solutions of the studied class and for their first-order derivatives.
TWO-SYMBOL SYSTEM OF ENCODING OF NUMBERS AND DISCRETE DISTRIBUTIONS OF RANDOM VARIABLES
Authors: Pratsiovytyi M. , Vasylenko N. , Goncharenko Ya. , Lysenko I.
Published: December 2023

We consider discrete distributions of random variables, defined by various two-symbol systems of encoding of real numbers (with zero and non-zero redundancy, with one and two bases, in particular with different sings), and study structural, topological, metric, and structurally fractal properties their point spectra. The general criterion for random variable with independent digits of two-symbol representation to have discrete distribution (analog of the P. L’ evi theorem for sum of random series with discretely distributed terms) is proved and properties of its spectrum are described. In the paper we study discrete distributions of values of functions of the Cantor type of a random continuously distributed argument.
POINTWISE ESTIMATES OF SOLUTIONS TO WEIGHTED POROUS MEDIUM AND FAST DIFFUSION EQUATIONS VIA WEIGHTED RIESZ POTENTIALS
Authors: Skrypnik I. , Zozulia Y.
Published: December 2023

Problems related to the study of the properties of solutions of partial differential equations have attracted the attention of many authors in recent decades. The main qualitative properties of solutions of homogeneous linear elliptic equations of the second-order divergent type with measurable coefficients without lower-order terms are already known from the results of De Giorgi, Nash, and Moser. These results are generalized by Serrin, Ladyzhenska and Uraltseva, Aronson and Serrin, and Trudinger for wide classes of elliptic and parabolic equations with lower-order terms from the corresponding $ L^{q} $-classes. Analogous results for evolution equations with $ p \,-$Laplacian appeared much later.

The first significant transition to the $ p \,-$Laplace equation with the measure $~\mu~$ in the right-hand side was achieved by Kilpelainen and Maly. They established point estimates of the solutions in terms of the nonlinear Wolff potential. These results were later extended by \linebreak Trudinger and Wang and Laboutin to nonlinear and subelliptic quasilinear equations. Irregularly elliptic and inhomogeneous parabolic equations without/or with singular lower terms have been studied for a long time. The first results in this direction were obtained by Fabes, Kenig and Separioni and Gutierrez for a weighted linear elliptic equation with weight representing $ A_{2} $ of the Mackenhaupt class.

In recent decades, there has been a growing interest in parabolic and elliptic equations due to their application in modeling nonlinear physical processes occurring in heterogeneous media. Also, these equations are interesting because a general qualitative theory has not been constructed for them. Among the researchers who obtained the first significant results, we note Di Benedetto E., Bogelein V., Ivanov A. V., Duzaar F., Gianazza U., Vespri V..
ПРО МЕТРИЧНІ СПІВВІДНОШЕННЯ В ПРЯМОКУТНОМУ ТРИКУТНИКУ ТА СУМІЖНІ ПИТАННЯ
Authors: Гриценко Тарас , Кадубовський Олександр
Published: December 2023

Стаття присвячена систематизації та узагальненню відомостей про метричні співвідношення у прямокутному трикутнику. Для фіксованого переліку його елементів детально розглянуто три найбільш поширені типи метричних задач на знаходження: 1) елементів прямокутного трикутника за двома його катетами; 2) невідомого катета за відомим катетом та одним з інших його елементів; 3) катетів прямокутного трикутника за двома його елементами. Приділяється увага особливостям розв’язування задач третього типу в загальному вигляді (без числових значень величин). Розв’язки (в загальному вигляді) 72 із 96 з принципово різних зазначених вище задач подано у вигляді відповідних метричних співвідношень, 60 з яких можуть бути використані для формулювання відповідних маловідомих ознак рівності прямокутних трикутників та одержання наслідків у вигляді нерівностей для його елементів. Також наведено 38 властивостей-ознак прямокутного трикутника у вигляді відповідних метричних співвідношень. Запропонований авторами підхід до систематизації та подання метричних співвідношень (в узагальненому вигляді та вигляді таблиць) дозволяє ефективно розв’язувати значно ширше коло метричних задач на знаходження невідомого елементу прямокутного трикутника за двома іншими його елементами (із зазначеного переліку) та генерувати відповідні метричні співвідношення як наслідки з вже наведених.
МОТИВАЦІЯ ОСВІТНЬОГО ПРОЦЕСУ ЗАСОБАМИ ГЕЙМІФІКАЦІЇ
Authors: Кайдан Наталія , Тараненко Ганна
Published: December 2023

Стаття присвячена засобам залучення учнів до освітнього процесу, підвищенню мотивації до навчання та досягнення кращих результатів, шляхом впровадження гейміфікації на уроках інформатики у закладі загальної середньої освіти. Виокремлено головні кроки, що можуть допомогти процесу впровадження гейміфікації в освітній процес.
Стародавня та сучасна народна хореографія Гуцульщини
Authors: Берест Роман Ярославович , Кундис Руслан Юрійович
Published: December 2023

Мета статті – виявити особливості формування давньої та сучасної танцювальної культури населення Гуцульщини, її тісний взаємозв’язок з іншими етнічними групами Карпатського регіону, історичну тяглість, самобутність народних традицій, звичаїв та обрядів. Методологія дослідження базується на комплексному підході, який органічно поєднує низку загальнонаукових та спеціальних методів з елементами герменевтики й ретроспективної реконструкції. Важливе значення надано культурно-типологічному, історико-порівняльному, описовому методу, що сприяло досягненню мети проведеної науково-дослідної роботи. Наукова новизна полягає в дослідженні етнокультурних витоків гуцульських танців у контексті зародження та розвитку їхньої хореографічної довершеності, враховуючи розмаїття сучасного танцювального мистецтва гуцулів, що ґрунтується на традиціях, звичаях та обрядах населення. Висновки. Сучасне народне танцювальне мистецтво Гуцульщини пройшло довготривалий та складний шлях свого розвитку. У теперішніх гуцульських танцях можна виділити національний традиціоналізм, хореографічні особливості, обрядово-звичаєвий складник, етико-естетичну цінність, етнокультурну палітру, самобутню виконавчу майстерність та ін. Гуцульська традиція створила колоритне розмаїття хореографічного мистецтва. Воно розвивалося не тільки на власній основі, але й у тісних контактах з танцювальною творчістю та культурою інших народів і насамперед Карпатського регіону. Хореографічне мистецтво Гуцульщини протягом багатьох століть поступово втрачало свої архаїчні танцювальні форми й стилі, рухи, фігури й успадковувало нові, що ґрунтувалися на кращих народних традиціях, здобутках, досягненнях у галузі світоглядних уявлень, національних звичаїв, сприйняття навколишньої природи, різних етнокультурних уподобань, різноманітних виробництв, занять, побуту, які тісно пов’язувалися з характерними елементами народного фольклору, співу, музики, розваг, театру, сімейних звичаїв, весільних обрядів, хореографічних обрядів календарного циклу свят, що підкреслює своєрідність, давність та унікальність хореографічного мистецтва населення регіону.
Танець «Космачанка»: витоки та інтерпретації балетмейстерів XX століття
Authors: Заставний Олександр Любомирович
Published: December 2023

Мета статті – з’ясувати витоки вокально-хореографічної композиції «Космачанка» та проаналізувати варіанти її редакцій. Методологія. Використано історико-хронологічний, порівняльний та аналітичний методи. Застосовано метод інтерв’ювання та мистецтвознавчого аналізу відеоджерел із записом танцю «Космачанка» і сценічних виступів ансамблів. Наукова новизна. У статті вперше комплексно проаналізовано відомості щодо інтерпретацій вокально-хореографічної композиції «Космачанка»; введено до наукового обігу низку матеріалів, що уточнюють і доповнюють інформацію про названу композицію та гуцульське хореографічне мистецтво. Висновки. Вокально-хореографічну композицію «Космачанка» вперше створив у Гуцульському державному ансамблі пісні і танцю Я. Чуперчук на основі фольклорного матеріалу із с. Космач Івано-Франківської області. Потім його учні В. Петрик (1921 р.н.) та Іван Курилюк вдавалися до інтерпретації «Космачанки». Сьогодні в Івано-Франківському національному академічному Гуцульському ансамблі пісні і танцю «Гуцулія» цей видозмінений номер називається «На зарінку». 1963 року постановку «Космачанка» у вокально-хореографічному колективі «Черемош» Львівського національного університету ім. Івана Франка здійснив Едуард Щербатюк. У «Черемоші» в цьому номері з’явилися жартівливі переспіви, що створили учасники ансамблю. Олег Голдрич удосконалив «Космачанку» в «Черемоші». 1991 року він поставив цей номер у театрі танцю «Заповіт» Харківської державної академії культури. У статті на основі різних джерел проаналізовано структуру танцю, його зміни, що відбувалися в різних танцювальних колективах. «Космачанка» є яскравим прикладом найкращих зразків репертуару аматорського та професійного танцювального мистецтва. Композиція багата на своєрідну танцювальну лексику та музичний матеріал, насичена багатьма цікавими малюнками, характерними для гуцульського краю. Цей номер є зразковим прикладом інтерпретації фольклорної традиції засобами академічної хореографічної лексики зі збереженням глибинних елементів гуцульської культури.
Балет «Снігова королева» в інтерпретаціях українських та зарубіжних балетмейстерів
Authors: Макарова Зоя Михайлівна , Білаш Ольга Сергіївна
Published: December 2023

Мета дослідження – виявити особливості балетмейстерських інтерпретацій вистави «Снігова королева», створених українськими та зарубіжними хореографами за мотивами однойменної казки Г.-Х. Андерсена в 2007–2023 рр. Методологія дослідження базується на хронологічному принципі, застосуванні аналітичного та порівняльного методів. Наукова новизна статті полягає в тому, що в ній вперше виявлено ідейні, композиційні та лексичні особливості інтерпретацій балету «Снігова королева», що були створені вітчизняними та зарубіжними балетмейстерами від початку ХХІ століття до сьогодні. Висновки. Упродовж 2007–2023 рр. на світовій музичній сцені було представлено декілька редакцій балету «Снігова королева» (за Г.- Х. Андерсеном). Вони реалізовані відомими зарубіжними (М. Кордер, К. Грів, К. Гемпсон) та українськими (А. Рубіна, А. Рехвіашвілі, В. Іщук) балетмейстерами. Однією з головних особливостей композиційної концепції балетів стало використання як спеціально написаного музичного матеріалу (композитори – Т. Кантелінен, О. Шимко), так і добре скомпонованих програмних творів відомих європейських класиків ХІХ–ХХ ст. (С. Прокоф’єв, Е. Гріг, М. Римський-Корсаков, А. Лядов, Ж. Масне, А. Рубінштейн, П. Чайковський, Ж. Оффенбах, Й. Штраус). Серед особливостей вистав – створення лібрето шляхом адаптації змісту казки Г.-Х. Андерсена до історико-культурних традицій країн, де було представлено балет (Фінляндія, Шотландія тощо). Нетиповою є ситуація часткового адаптування хореографічного тексту вистави А. Рехвіашвілі новим балетмейстером Національної опери України В. Іщуком під змінену музику, що пов’язано з вилученням із репертуару театру російської музики через повномасштабне вторгнення росії в Україну. Провідною «мовою» для всіх редакцій «Снігової королеви» став класичний танець, доповнений неокласикою, вільною пластикою, характерною, народно-сценічною та історико-побутовою хореографією.
Mediteranska prehrana i gestacijski dijabetes
Authors: Rahelić Dario , Matijević Ratko
Published: December 2023

Gestacijski dijabetes odnosno šećerna bolest dijagnosticirana u drugom, odnosno trećem tromjesječju trudnoće koja nije bila poznata prije trudnoće i ne ispunjava kriterije za šećernu bolest tipa 1 ili 2 sve je veći javnozdravstveni problem današnjice. Oko 21,1 milijun žena (16,7 %) tijekom trudnoće imaju neki oblik hiperglikemije, od čega 80,3 % čini gestacijski dijabetes, 10,6 % od ranije poznata šećerna bolest tipa 1 i tipa 2 i 9,1 % šećerna bolest tipa 1 i tipa 2 dijagnosticirana u trudnoći. Medicinska nutritivna terapija, zajedno s tjelesnom aktivnošću i redovnim, odnosno čestim samokontrolama glikemije predstavlja temelj liječenja gestacijskog dijabetesa, a sve s ciljem sprječavanja komplikacija za majku i dijete. Sve je više studija koje pokazuju kako prehrana koja se temelji na hrani biljnog podrijetla može doprinijeti kako prevenciji tako i liječenju gestacijskog dijabetesa, kroz utjecaj na usporavanje pražnjenja želuca, poboljšanje osjetljivosti na inzulin i pojačano lučenje inzulina. Budući da trudnice s gestacijskim dijabetesom imaju povišene pokazatelje oksidativnog stresa i upalnih markera (TNF-α, IL-6 i CRP), izražene dobrobiti ovakvog načina prehrane su bogatstvo antioksidansa i imunomodulatorno djelovanje. Nadalje, visok sadržaj prehrambenih vlakana, niski glikemijski indeks te visok udio jednostrukonezasićenih i višestrukonezasićenih masnih kiselina u odnosu na one zasićene prednosti su ovog obrasca prehrane. Mediteranska prehrana koja obiluje voćem, povrćem, cjelovitim žitaricama, orašastim plodovima, mahunarkama te maslinovim uljem je preporučeni prehrambeni obrazac, a ključ njezinog djelovanja je u sinergiji odnosno zajedničkom međudjelovanju između više različitih blagotvornih komponenti.
Application of Peer Method Tutoring in Cultivating Sense of Belonging Junior High School Students to Online Learning
Authors: Butar-Butar Clara Irmawati , Listiani Tanti
Published: December 2023

A sense of belonging is a very important feeling for students to build relationships in the classroom community through face-to-face and online learning. The fact that the teacher found during the teaching practice of grade VII junior high school students in online learning, the teacher found a lack of belonging to their class community. Following up on these problems, the teacher facilitates students by applying the peer tutoring method that allows students to get support from teachers and peers so that it has the potential to foster a sense of belonging to students. The purpose of writing is to describe the application of the peer tutor method as an effort to foster a sense of belonging to students, especially in class VII junior high school students. The method used is descriptive qualitative. This research was conducted in SKK Erenos where a total of 52 students became respondents. Writing concludes that the application of the peer tutoring method is carried out by combining synchronous and asynchronous learning to help students foster a sense of belonging in online learning even though they have not achieved maximum results. Teachers need a correct and reflective heart response to face various challenges in the world of education. Teachers cannot change students' personalities but can become facilitators to create class communities that love one another. The advice to the teacher is to continue the implementation of the peer tutoring method consistently for a long time to foster a sense of belonging to students in online learning.
Efforts to Overcome Student Difficulties in Function Continuity Material Through The Use Of Structured Worksheets
Authors: Purbaningrum Kus Andini , Sukmawati Rika
Published: December 2023

This study aims to overcome students' difficulties in understanding the material continuity of functions through the use of structured worksheets in differential calculus courses. The research subjects were second semester students of the Mathematics Education Study Program, Faculty of Teacher Training and Education (FKIP), University of Muhammadiyah Tangerang (UMT). This type of research is Classroom Action Research which is carried out in two cycles where each cycle consists of two meetings. Continuity of Function material consists of several parts, namely set intervals of numbers, limits of functions and graphs, function continuity tests. The data obtained in this study are the activities and abilities of students in understanding the material. Student activity data was obtained by observing while student abilities were obtained by using a student understanding ability test. Furthermore, the data collected in this study were analyzed by descriptive analysis. Results analysis was carried out in each cycle to determine the success of using structured worksheets in overcoming student difficulties. The percentage of students who experience difficulties in cycle 2 is 26.92%. This figure is in a weak qualification with a range of 20% - 40% of the number of students, thus indicating success in this classroom action research. Thus the use of structured worksheets can overcome students' difficulties in understanding the continuity of functions material.
Strengthening the Shafi‘i Madhhab: Malay Kitab Jawi of Fiqh in the 19th Century
Authors: Huda Yasrul , Burhanuddin Jajat , Kooria Mahmood
Published: December 2023

The supremacy of fiqh in Indonesian, and Southeast Asian, Islam has been widely acclaimed; the subject concerning the affairs of daily life, the core substance of fiqh, has its fertile grounds in Muslims religious ideas and practices. This article presents a historical analysis how the fiqh became popular in the region, which can be traced back to the 19th century. Taking Malay kitab jawi as the main subject of discussion, the shifting of religious concerns among the ‘ulamā’ (Muslim scholars) was of crucial significance. They increasingly engaged in dealing with the Muslims’ need of guidance in primarily prescriptions for worship (‘ubūdiyah). This study traces the historical aspect in the spread of the Shafii school, along with the development of the Malay textual tradition.  As a result, kitab jawi on fiqh by Southeast Asian ‘ulamā’ grew considerably, in both number and religious authority, in line with the rise of learning institutions (pondok), leading the subject to appear as religiously essential to be produced, and reproduced, to become an established school for Muslims of the region.
The Mechanism of Avoiding Riba in Islamic Financial Institutions: Experiences of Indonesia and Malaysia
Authors: Maksum Muhammad
Published: December 2023

The issue of discrepancy between business goals and sharia principles related to debt raises a problem. Financial institutions seek profit, but lending and borrowing money (qardh) in Islam is not for profit. This has the potential to generate usury (riba), and must be avoided by Islamic Financial Services (IFS). This article examines several Islamic legal opinions (fatwa) from the Indonesian National Sharia Council and the Malaysian Sharia Authority Council utilizing a normative and descriptive legal study approach, in conjunction with the science of Islamic jurisprudence (ushul fiqh). The results of the study outline that Islamic financial institutions must create products to avoid riba practices on unlawful debts. Two models for the creation of anticipatory riba were found by tracing and testing Islamic financial products using a credit schemes (qardh), namely entering into a service contract (ijarah) and conducting several transactions (bay' al-'inah) for one object. This product highlights the repetition of an old practice long-debated in classical fiqh because it is prohibited in a hadith of the Prophet Muhammad. This finding has implications for Sharia compliance as long as Sharia financial products do not shift to profit-sharing or buying and selling-based financial products.