Кафедра штучного інтелекту та математичного моделювання
Постійне посилання на фондhttps://repository.lntu.edu.ua/handle/123456789/57
Переглянути
3 результатів
Результати пошуку
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.