³ñíèê Êðåìåí÷óöüêîãî íàö³îíàëüíîãî óí³âåðñèòåòó

³ìåí³ Ìèõàéëà Îñòðîãðàäñüêîãî

³ñíèê Êðåìåí÷óöüêîãî íàö³îíàëüíîãî óí³âåðñèòåòó ³ìåí³ Ìèõàéëà Îñòðîãðàäñüêîãî

̲ͲÑÒÅÐÑÒÂÎ ÎѲÒÈ ² ÍÀÓÊÈ ÓÊÐÀ¯ÍÈ
MINISTRY OF EDUCATION AND SCIENCE OF UKRAINE
Êðåìåí÷óöüêèé íàö³îíàëüíèé óí³âåðñèòåò ³ìåí³ Ìèõàéëà Îñòðîãðàäñüêîãî
Kremenchuk Mykhailo Ostrohradskyi National University

²ÑÍÈÊ ÊÐÅÌÅÍ×ÓÖÜÊÎÃÎ ÍÀÖ²ÎÍÀËÜÍÎÃÎ ÓͲÂÅÐÑÈÒÅÒÓ ²ÌÅͲ ÌÈÕÀÉËÀ ÎÑÒÐÎÃÐÀÄÑÜÊÎÃÎ

TRANSACTIONS OF KREMENCHUK MYKHAILO OSTROHRADSKYI NATIONAL UNIVERSITY

³ñíèê Êðåìåí÷óöüêîãî íàö³îíàëüíîãî óí³âåðñèòåòó ³ìåí³ Ìèõàéëà Îñòðîãðàäñüêîãî. – Êðåìåí÷óê: ÊðÍÓ, 2024. – Âèïóñê 4(147) – 202 ñ.

TRANSACTIONS ÎF KREMENCHUK MYKHAILO OSTROHRADSKYI NATIONAL UNIVERSITY. – KREMENCHUK: KRNU, 2024. – ISSUE 4(147) – 202 P.

ISSN 1995–0519
e-ISSN 2072–8263


Ïðîôåñ³éíà îñâ³òà

²ÍÒÅÃÐÀÖ²ß ÖÈÔÐÎÂÈÕ ÒÅÕÍÎËÎÃ²É Ó Ç̲ØÀÍÅ ÍÀÂ×ÀÍÍß ÄËß ÂÈÊËÀÄÀÍÍß ÂÈÙί ÌÀÒÅÌÀÒÈÊÈ ÑÒÓÄÅÍÒÀÌ ÒÅÕͲ×ÍÈÕ ÇÂÎ
²ðèíà Êëºîïà, Ìàéÿ Êîâàëü÷óê, Àëüîíà Êîëî쳺öü, Îêñàíà Òþòþííèê
11
ÀÍÀË²Ç ÏÐÎÁËÅÌÈ ²ÍÒÅÃÐÎÂÀÍÎÃÎ ÍÀÂ×ÀÍÍß ÏÐÎÔÅѲÉÍÎ-ÑÏÐßÌÎÂÀÍί ÀÍÃ˲ÉÑÜÊί ÌÎÂÈ ÌÀÉÁÓÒÍ²Õ ÑÎÖ²ÀËÜÍÈÕ ÏÐÀÖ²ÂÍÈÊ²Â Ó ÏÐÎÖÅѲ ÔÀÕÎÂί ϲÄÃÎÒÎÂÊÈ
Êàòåðèíà Ìóëèê
19
ϲÄÃÎÒÎÂÊÀ ÑÒÓÄÅÍҲ ÅÊÎÍÎ̲×ÍÈÕ ÑÏÅÖ²ÀËÜÍÎÑÒÅÉ ÄÎ ÀÂÒÎÍÎÌÍί ÍÀÂ×ÀËÜÍί IJßËÜÍÎÑÒ²
Òàìàðà Ïîÿñîê, Îëåíà Áåñïàðòî÷íà
24
²ÍÒÅÃÐÀÒÈÂͲ ÇÂ’ßÇÊÈ Ì²Æ ÊÎÌÏÎÍÅÍÒÀÌÈ Á²Ë²ÍÃÂÀËÜÍί ÏÐÅÄÌÅÒÍί ÊÎÌÏÅÒÅÍÖ²¯ Ç ÌÀÒÅÌÀÒÈÊÈ ÌÀÉÁÓÒÍ²Õ ²ÍÆÅÍÅвÂ
Íàòàë³ÿ Ñí³æêî
30

Åêîíîì³êà

ÑÈÑÒÅÌÀ ÐÅÃÓËÞÂÀÍÍß ÏÐÀ ÍÅÌÀÒÅвÀËÜÍÈÕ ÀÊÒȲÂ
Àíäð³é ªðåìåíêî
36

Åêîëîã³ÿ

ÑÊÐÈͲÍà ÐÎÑËÈÍ ÄËß Ô²ÒÎÐÅÌÅIJÀÖ²ÉÍÎÃΠ²ÄÍÎÂËÅÍÍß ¥ÐÓÍÒ²Â, ÇÀÁÐÓÄÍÅÍÈÕ ÍÀÔÒÎÏÐÎÄÓÊÒÀÌÈ
Ëàðèñà ×åðíÿê, Îëåêñàíäð ̳õººâ, Îêñàíà Ëàïàíü, Òîìàø Ìàíºöê³, Òåòÿíà Äìèòðóõà
45
ÐÎËÜ ÅÊÎËÎò×Íί ÊÓËÜÒÓÐÈ Â ÐÎÇÂÈÒÊÓ ÑÓÑϲËÜÑÒÂÀ
Êèðèëî ׳ê³ðÿê³í, Îëåêñ³é Øåñòîïàëîâ
52

Êîìï’þòåðí³ íàóêè

ϲÄÕÎÄÈ ÒÀ ÏÐÈÍÖÈÏÈ ÑÒÂÎÐÅÍÍß ÑÈÑÒÅÌÈ ÊËÎÍÓÂÀÍÍß ÃÎËÎÑÓ
Ãë³á Áîðèñîâ, Êèðèëî Òðàïåçîí
59
BASIC PRACTICAL STEPS FOR DATA ANALYSTS IN WORKING WITH DATA
Oleksandr Volkov, Nataliia Voinalovych
69
LEVERAGING AI FOR AUTOMATED VALIDATION IN PERFORMANCE TESTING
Valeriy Kolesnikov, Oleksandr Volkov
79
²ÍÔÎÐÌÀÖ²ÉÍÎ-ÅÊÑÒÐÅÌÀËÜÍÅ ÌÀØÈÍÍÅ ÍÀÂ×ÀÍÍß ÀÂÒÎÍÎÌÍÎÃÎ ÁÅÇϲËÎÒÍÎÃΠ˲ÒÀËÜÍÎÃÎ ÀÏÀÐÀÒÓ ÄËß ÐÎÇϲÇÍÀÂÀÍÍß ÍÀÇÅÌÍÈÕ ²ÍÔÐÀÑÒÐÓÊÒÓÐÍÈÕ ÎÁ’ªÊÒ²Â
Ìèêèòà Ìèðîíåíêî, Âàëåð³é Ñòð³ëåöü, Ñåðã³é Êîâàëåâñüêèé, Ðîìàí Êðàñêîâñüêèé
85
ÏÎÒÅÍÖ²ÀË ÂÈÊÎÐÈÑÒÀÍÍß ÍÅÉÐÎÍÍÈÕ ÌÅÐÅÆ ÄËß ÏÅÐÅÄÁÀ×ÅÍÍß ÒÐÀÅÊÒÎв¯ ÐÓÕÓ Ó ÌÓËÜÒÈÀÃÅÍÒÍÈÕ ÑÈÑÒÅÌÀÕ ÍÀ ÏÐÈÊËÀIJ ÃÐÈ PAC-MAN
Àðòåì Íîâ³êîâ, Îëüãà Ìàöèé
92
ÏÐÈÍÖÈÏÈ ÒÀ ϲÄÕÎÄÈ ÂÈÊÎÐÈÑÒÀÍÍß ÀËÃÎÐÈÒÌÓ YOLO V7  ÑÈÑÒÅÌÀÕ ÂÈßÂËÅÍÍß ÎÁ’ªÊÒ²Â
Îëåêñ³é Ïåðåâåðçºâ, Êèðèëî Òðàïåçîí
104
ÓÄÎÑÊÎÍÀËÅÍÍß ÐÎÁÎÒÈ ÏÀÐÀËÅËÜÍÎÃÎ ÀËÃÎÐÈÒÌÓ ÐÀÁ²ÍÀ-ÊÀÐÏÀ
Îëåêñàíäð ѳðèê, ²ãîð Êóçüìåíêî, ªâãåí ²çâàð³í
113

Ïðèêëàäíà ìåõàí³êà

ÌÎÄÅËÞÂÀÍÍß ÂÈÏÐÎÁÓÂÀËÜÍί ÊÎÍÑÒÐÓÊÖ²¯ Ç ÂÊËÞ×ÅÍÍßÌ ÏÐßÌÎÊÓÒÍÈÕ ÁÀËÎÊ ÍÀ ÎÑÍβ ²ÍÑÒÐÓÌÅÍҲ ÏÐÎÃÐÀÌÈ ANSYS
ªâãåí³é Ïîíîìàðåíêî, Êèðèëî Òðàïåçîí
119

Ìàòåð³àëîçíàâñòâî

ÐÎÇÐÎÁËÅÍÍß ÏÐÈÑÒÐÎÞ ÃÀÇÎÂÎÃÎ ÇÀÕÈÑÒÓ ÄËß ËÀÇÅÐÍί ÎÁÐÎÁÊÈ ÌÅÒÀËÅÂÈÕ ÌÀÒÅвÀ˲Â
Àðòåì³é Áåðíàöüêèé, Þð³é Þð÷åíêî, Îëåêñàíäð ѳîðà, Âîëîäèìèð Ëóêàøåíêî, Âàëåíòèíà Áîíäàðºâà, Ìèêîëà Ñîêîëîâñüêèé
128
ÔÎÐÌÓÂÀÍÍß ÏÎÊÐÈÒҲ ÍÀ ÎÑÍβ ÌÀÕ-ÔÀÇÈ TI3SIC2  ÓÌÎÂÀÕ ÃÀÇÎÒÅÐ̲×ÍÈÕ ÌÅÒÎIJ ÍÀÍÅÑÅÍÍß (ÎÃËßÄ)
Íàòàë³ÿ ³ã³ëÿíñüêà, Êàðîë³íà ßíöåâè÷, Ëþäìèëà Îëåâñüêà, Íàä³ÿ Çàéöåâà, Ëàðèñà Êó÷åð
135
ÂÈÇÍÀ×ÅÍÍß Ñϲ²ÄÍÎØÅÍÜ Ì²Æ ØÂÈÄʲÑÒÞ ÄÅÔÎÐÌÀÖ²¯, Ù²ËÜͲÑÒÞ ÌÅÒÀËÅÂÎÃÎ ÏÎÐÎØÊÓ, ÍÀÂÀÍÒÀÆÅÍÍßÌ ÒÀ ×ÀÑÎÌ ÉÎÃΠIJ¯
Âîëîäèìèð Äðàãîáåöüêèé, Äìèòðî Ñàâºëîâ, Îëåêñàíäð Îâðàõ
143
ÏÅÐÑÏÅÊÒÈÂͲ ÍÀÏÐßÌÊÈ ÌÀÑØÒÀÁÍÎÃÎ ÇÀÏÐÎÂÀÄÆÅÍÍß ÒÀ ÐÅÀ˲ÇÀÖ²¯ ²ÍÒÅËÅÊÒÓÀËÜÍÈÕ ÒÅÕÍÎËÎÃ²É ÏËÀÑÒÈ×ÍÎÃÎ ÄÅÔÎÐÌÓÂÀÍÍß Ó ÀÂÒÎÌÀÒÈÇÎÂÀÍÎÌÓ ÂÈÐÎÁÍÈÖÒ²
Äåíèñ Ìîñüïàí, Âëàäèñëàâ Ëèñàê
149

Ãàëóçåâå ìàøèíîáóäóâàííÿ

ÑÈÑÒÅÌÀ ÄÎÑË²ÄÆÅÍÍß ÁÀÇÎÂÈÕ ÊÐÈÒÅв¯Â ÂÇÀªÌÎIJ¯ ÏÀÍÒÎÃÐÀÔÀ Ç ÊÎÍÒÀÊÒÍÎÞ ÌÅÐÅÆÅÞ
Îëåêñ³é Ôîì³í, Ïàâëî Ïðîêîïåíêî, ²âàí Ðîä³îíîâ
156
ÄÎÑË²ÄÆÅÍÍß ÂÏËÈÂÓ Â²ÁÐÀÖ²¯ ÐÓ×ÍÎÃÎ ²ÍÑÒÐÓÌÅÍÒÓ ÏÐÈ ÎÁÐÎÁÖ² ÂÈÑÎÊÎÒÅÕÍÎËÎò×ÍÈÕ ÊÀÐÁÎÍÂ̲ÑÍÈÕ ÂÎËÎÊÍÈÑÒÈÕ ÌÀÒÅвÀ˲Â
Îëüãà ×åí÷åâà
162

Åëåêòðîåíåðãåòèêà, åëåêòðîòåõí³êà òà åëåêòðîìåõàí³êà

ÀÍÀË²Ç ÂÈÊÎÐÈÑÒÀÍÍß ÒÀ ÐÅÀ˲ÇÀÖ²¯ ÑÈÑÒÅÌÈ SMART ÌÎͲÒÎÐÈÍÃÓ ÅËÅÊÒÐÈ×Íί ÅÍÅÐò¯ ÍÀÂ×ÀËÜÍÎÃÎ ÊÎÐÏÓÑÓ
Âàñèëü Áóíüêî, Îëåêñàíäð Êîíäðàò, Íàçàð³é Áóíüêî
169
DEVELOPMENT OF A METHOD BASED ON A SET OF TECHNOLOGICAL INDICATORS FOR LEVELLING THE LOAD OF BALL MILLS
Igor Konokh, Nataliia Istomina, Serhii Yevtushenko, Heorhii Radchenko, Yevhen Kudriavets
177
ON APPLICATION OF POLYNOMIAL FUNCTIONS IN ASSESSMENT OF LIGHTNING SHIELDING PERFORMANCE OF OVERHEAD TRANSMISSION LINES
Yevhenii Trotsenko, Yaroslav Arkhypov
186
ÀÍÀË²Ç Ö²Í ÍÀ ÐÈÍÊÓ ÍÀ ÄÎÁÓ ÍÀÏÅÐÅÄ ÒÀ ÍÀ ÐÅÇÅРϲÄÒÐÈÌÊÈ ×ÀÑÒÎÒÈ Â ÊÐÀ¯ÍÀÕ ÊÎÍÒÈÍÅÍÒÀËÜÍί ªÂÐÎÏÈ
Àíäð³é Õîìÿê, ³êòîð Ðîçåí
194

Vocational education

INTEGRATION OF DIGITAL TECHNOLOGIES INTO BLENDED LEARNING FOR TEACHING HIGHER MATHEMATICS TO STUDENTS OF TECHNICAL UNIVERSITIES
Iryna Kl³eopa, Maya Kovalchuk, Alona Kolomiiets, Oksana Tiutiunnyk
11
THE PROBLEM ANALYSIS OF INTEGRATED TEACHING OF PROFESSIONALLY ORIENTED ENGLISH OF FUTURE SOCIAL WORKERS IN THE PROCESS OF PROFESSIONAL TRAINING
Kateryna Mulyk
19
PREPARING ECONOMICS STUDENTS FOR AUTONOMOUS LEARNING ACTIVITIES
Tamara Poyasok, Olena Bespartochna
24
INTEGRATIVE RELATIONS BETWEEN COMPONENTS OF FUTURE ENGINEERS’ BILINGUAL SUBJECT COMPETENCE IN MATHEMATICS
Nataliia Snizhko
30

Economy

REGULATORY SYSTEM OF INTANGIBLE ASSETS
Andriy Yeremenko
36

Ecology

PLANT SCREENING FOR PHYTOREMEDIATION OF SOILS CONTAMINATED WITH OIL PRODUCTS
Larysa Cherniak, Oleksandr Mikhyeyev, Oksana Lapan, Tomasz Maniecki, Tetyana Dmytrukha
45
THE ROLE OF ECOLOGICAL CULTURE IN THE DEVELOPMENT OF SOCIETY
Kyrylo Chikiryakin, Oleksiy Shestopalov
52

Computer science

APPROACHES AND PRINCIPLES OF CREATING A VOICE CLONING SYSTEM
Hlib Borysov, Kirill Trapezon
59
BASIC PRACTICAL STEPS FOR DATA ANALYSTS IN WORKING WITH DATA
Oleksandr Volkov, Nataliia Voinalovych
69
LEVERAGING AI FOR AUTOMATED VALIDATION IN PERFORMANCE TESTING
Valeriy Kolesnikov, Oleksandr Volkov
79
INFORMATION-EXTREME MACHINE LEARNING OF AN AUTONOMOUS UAV FOR RECOGNITION OF GROUND INFRASTRUCTURE OBJECTS
Mykyta Myronenko, Valerii Strilets, Serhii Kovalevskyi, Roman Kraskovskyi
85
POTENTIAL OF USING NEURAL NETWORKS FOR TRAJECTORY PREDICTION IN MULTI-AGENT SYSTEMS: A CASE STUDY OF THE PAC-MAN GAME
Artem Novikov, Olha Matsiy
92
PRINCIPLES AND APPROACHES OF USING THE YOLO V7 ALGORITHM IN OBJECT DETECTION SYSTEMS
Oleksii Pereverziev, Kirill Trapezon
104
IMPROVEMENT OF THE PARALLEL RABIN-KARP ALGORITHM
Oleksandr Siryk, Ihor Kuzmenko, Yevhen Izvarin
113

Applied Mechanics

MODELING OF THE TEST STRUCTURE WITH THE INCLUSION OF RECTANGULAR BEAMS BASED ON THE TOOLS OF THE ANSYS PROGRAM
Yevhenii Ponomarenko, Kyrylo Trapezon
119

Materials Science

DEVELOPMENT OF A GAS SHIELDING UNIT FOR LASER PROCESSING OF METAL MATERIALS
Artemii Bernatskyi, Yurii Yurchenko, Oleksandr Siora, Volodymyr Lukashenko, Valentyna Bondarieva, Mykola Sokolovskyi
128
FORMATION OF COATINGS BASED ON THE MAX-PHASE TI3SIC2 UNDER THE CONDITIONS OF GAS-THERMAL APPLICATION METHODS (OVERVIEW)
Natalia Vigilianska, Carolina Iantsevitch, Ludmula Olevska, Nadia Zaitseva, Larisa Kucher
135
DETERMINATION OF RELATIONSHIPS BETWEEN SPEED OF DEFORMATION, DENSITY OF METAL POWDER, LOAD AND TIME OF ITS EFFECT REFERENCES
Volodymyr Drahobetskyi, Dmytro Savielov, Oleksandr Ovrach
143
PROSPECTIVE DIRECTIONS OF LARGE-SCALE INTRODUCTION AND IMPLEMENTATION INTELLIGENT TECHNOLOGIES OF PLASTIC DEFORMATION IN AUTOMATED PRODUCTION
Denis Mospan, Vladyslav Lysak
149

Industrial Machinery Engineering

SYSTEM OF RESEARCH OF THE BASIC CRITERIA OF THE INTERACTION OF THE PANTOGRAPH WITH THE OVERHEAD LINE
Oleksij Fomin, Pavlo Prokopenko, Ivan Rodionov
156
STUDY OF THE INFLUENCE OF HAND TOOL VIBRATION DURING PROCESSING OF HIGH-TECH CARBON-CONTAINING MATERIALS
Olha Chencheva
162

Power Energetics, Electrical Engineering and Electromechanics

ANALYSIS OF THE USE AND IMPLEMENTATION OF THE SMART SYSTEM FOR MONITORING THE ELECTRICAL ENERGY OF THE EDUCATIONAL BUILDING
Vasyl Bunko, Oleksandr Kondrat, Nazarii Bunko
169
DEVELOPMENT OF A METHOD BASED ON A SET OF TECHNOLOGICAL INDICATORS FOR LEVELLING THE LOAD OF BALL MILLS
Igor Konokh, Nataliia Istomina, Serhii Yevtushenko, Heorhii Radchenko, Yevhen Kudriavets
177
ON APPLICATION OF POLYNOMIAL FUNCTIONS IN ASSESSMENT OF LIGHTNING SHIELDING PERFORMANCE OF OVERHEAD TRANSMISSION LINES
Yevhenii Trotsenko, Yaroslav Arkhypov
186
ANALYSIS OF DAY-AHEAD AND FREQUENCY CONTAINMENT RESERVE MARKET PRICES IN CONTINENTAL EUROPEAN COUNTRIES
Andrii Khomiak, Viktor Rozen
194