Факультет робототехніки та штучного інтелекту
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Item type:Наукова стаття, Latex system in distance learning of the probability theory(2023-11-20) Hubal, HalynaArticle discusses the main issues for writing interactive mathematical tests in the LaTeX system. The LaTeX system is convenient to use for writing interactive mathematical tests in distance learning. We use the eqExam package, the AcroTeX eDucation Bundle package, the turnthepage package in order to write interactive mathematical tests, for example tests on the probability theory. For this, we create (tasks) of the “True/False” type, the “Short Answer” type, the “Essay” type (“Specifying a Definition”, “Justification of a Theoretical Hypothesis”) and the “Multiple Choice” type.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, Analysis of approaches to the study of limits of sequences and functions and the use of information technologies(2024-01-25) Hubal, HalynaArticle analyzes approaches to the study of limits of sequences and functions and the use of information technologies. The theorem on the limit of an intermediate sequence is of great importance when investigating the convergence of sequences and when calculating the limits of sequences. It is developed an algorithm for applying this theorem that is illustrated with examples. An example of calculating the limit of a function with a geometric interpretation of the obtained result is considered. The possibility of completing the calculation of limits at infinity, using the program code written by the author in the LaTeX programming language, is considered.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, Optimization of the use of some modules in the moodle system(2024-04-29) Hubal, HalynaThe article considers the modular object-oriented dynamic learning environment Moodle which provides a full-fledged and modern study of disciplines, including mathematical ones, satisfying the various needs of teachers and students in the interactivity and effectiveness of learning technologies, developing the ability to work with a large amount of information. The task of creating assignments with variants, which the teacher must grade manually, is implemented. Flexible settings of creating and visibility of assignment variants for students are presented.Item type:Наукова стаття, Analysis of Technical Characteristics of Temperature Sensors for the Design of Medical Thermometers(2023-10-13) Moroz, Serhii; Tkachuk, Anatolii; Zablotskyi, Valentyn; Prystupa, Stanislav; Lyshuk, Viktor; Talakh, ValentynThe paper analyzes the technical features that must be taken into account during the construction of medical thermometers. An analysis of thermometers was carried out from the point of view of their suitability for monitoring temperature fluctuations on the surface of a biological object. The dependence of the resolution of the thermometer for different temperature ranges is considered. Expanding the range of measured temperatures leads to a decrease in the transmission coefficient, and vice versa, a decrease in the range leads to an increase in the steepness by the same number of times. A comparative analysis of various types of temperature sensors was carried out, in particular, a temperature-voltage converter (TC1047) from Microchip in a SOT23 case, a thermosensor (SMT16030) from Smartec in a TO18 case, a thermistor (203JG1F) from NTC in a DO35 case, (LM19) from National Semiconductor in a TO92 case, and (TSIC306) by Hygrosens in the SO8 case. The informativeness coefficients of the conversion of thermal sensors, and the dependence of the thermal time constant on the mass of the sensor in different types of housing are considered. It has been established that thermometers with sensors based on semiconductor diodes have a high perspective since sensors of this type provide high speed, short response time, operation in the mode of microcurrents, which maximally reduce self-heating of the sensor, high sensitivity, good linearity in a given temperature range (25...40°C), stability of electrical parameters. Along with high operational characteristics, sensors based on a semiconductor diode have a low cost.Item type:Наукова стаття, Development and Interaction of the VTF Concept with IoT Platforms on the Example of the 5G Standard(2023-10-13) Bakhovskyy, Petro; Tkachuk, Anatolii; Yevsiuk, Mykola; Zabolotnyi, Oleg; Moroz, Oleksii; Satsyk, OleksandrThe main prospects of development and interaction of mobile telecommunication networks are given, taking into account the potential opportunities for the realization of scenarios for the implementation of virtual technical functions on the platforms of the Internet of Things with the appropriate quality of service. The advantages and disadvantages of individual scenarios for the implementation of the concept of virtual technical functions are considered. An attempt is made to describe the principles of interaction of the 5G mobile network standard with Internet of Things platforms. Some aspects of the development of mobile communication systems are recognized, taking the promising technologies and recommendations of the ITU into consideration. The basic principles of construction of mobile communication networks are given, including the potential implementation possibilities of any realization scenario of virtual technical functions with set requirements for a given quality of service. The advantages and disadvantages of individual scenarios for the implementation of the concept of virtual technical functions are contemplated.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.