Факультет робототехніки та штучного інтелекту
Постійне посилання на фондhttps://repository.lntu.edu.ua/handle/123456789/3434
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Item type:Наукова стаття, Methods of functional analysis for the discrete velocity model of the BBGKY hierarchy of equations of symmetric systems of particles interacting as hard spheres(Singapore, Republic of Singapore: International Center of Scientific Research, 2025) Hubal, HalynaA dynamic symmetric system of particles interacting as hard spheres was considered in the article. Such systems are used in a number of scientific areas such as mathematical physics, theoretical physics, mathematical biology, mathematical economics, chemistry, and modern nanotechnology. It was proved that the functional series of the cumulant representation of the solution of the discrete velocity model of the Cauchy problem for the BBGKY hierarchy of equations with initial data having the chaos property converge in the norm of the space of sequences of summable functions. Under the condition of low densities, it was proved the existence and uniqueness of the solution of a closed evolution equation obtained from the solution of the Cauchy problem for the BBGKY hierarchy of equations, which is important for deriving the generalized kinetic equation.Item type:Наукова стаття, Digital technologies as a powerful toolkit for improving the quality of students' mathematical training(Kraków, 2025) Hubal, HalynaThe article considers the application and impact of digital technologies on improving the quality of students’ mathematical training. It is shown the advantages of using digital technologies. It is described the features of deepening students’ knowledge through digital technologies.Item type:Наукова стаття, Information technologies in teaching probability theory to foreign students in English in higher education institutions(Oxford, 2025) Hubal, HalynaThe article presents some features of teaching probability theory to foreign students in English in higher education institutions in Ukraine. The article emphasizes the importance of using information technologies both for teaching probability theory and for understanding this discipline by foreign students. Examples of using the LaTeX system in creating educational materials and test tasks are given.Item type:Наукова стаття, Automated smart humanoid robot arm on the ARDUINO platform(2025-12-12) Povstianoi, Oleksandr; Markinа, Lyudmila; Denysiuk, Viktor; Pylypets, MykhailoThe article presents the development of an automated smart humanoid robot hand on the Arduino platform using 3D printing, servo drives, and a sensor glove with flexible sensors. An electrical circuit and a software module for reading and processing signals have been developed, which provides real-time reproduction of the operator's finger movements. Modelling, assembly of mechanical and electronic parts, calibration of sensors and actuators have been carried out. Experimental studies have confirmed the accuracy, speed, and stability of the system, which makes it suitable for educational and demonstration robotics applications.Item type:Наукова стаття, THEORETICAL RESEARCH OF A NEW DESIGN OF A PARAMETRIC PRESSURE PULSE GENERATOR FOR A VIBRATORY HYDRAULIC DRIVE(2026-01-15) Povstyanoy, Oleksandr; OBERTYUKH, Roman; SLABKYI, Andrii; SUKHORUKOV, Sergey; KOTYK, SergeyBased on the results of the analysis of known circuit and structural designs of pressure pulse generators (PPG) in liquid, a new design of a single-stage parametric PPG with increased throughput capacity has been developed according to the connection diagram to the executive hydraulic cylinder of the hydraulic pulse drive (HPD) «at the inlet», the distribution links (first and second sealing stages) of which are combined with a high-rigidity slotted spring (SS). The newly designed PPG is used to control the HPD with a parametric-type actuating hydraulic cylinder. In order to create a scientifically sound methodology for the design calculation of the studied hydraulic impulse drive and PPG, a dynamic model of the HPD was developed, based on which and a sound structure of assumptions, a mathematical model of the HPD was constructed and analysed.