EFFECTIVE CUBATURE FORMULA FOR THE APPROXIMATE CALCULATION OF THE TRIPLE INTEGRAL ON THE CLASS OF DIFFERENTIABLE FUNCTIONS

Papers 2023

TITLE
EFFECTIVE CUBATURE FORMULA FOR THE APPROXIMATE CALCULATION OF THE TRIPLE INTEGRAL ON THE CLASS OF DIFFERENTIABLE FUNCTIONS

AUTHOR(S)
Olesia Nechuiviter, Kyrylo Kovalchuk

ABSTRACT
The rapid development of digital technologies encourages scientists to create new or improve existing algorithms for solving technical problems. It is time to develop mathematical models with different types of input or experimental data. In particular, in the digital signal and image processing, algorithms for the approximate calculation of integrals from rapidly oscillating functions of many variables are used in the case when the input information is given by the values of the function on lines or planes. The specified results can be easily transferred to the problem of numerical integration of functions of many variables and find their application in mathematical modeling of technical processes. The purpose of this work is to present an effective cubature formula for the approximate calculation of the triple integral on the class of differentiable functions. We consider the formula as effective if it uses less function values compared to the classic algorithm.

DOI
www.doi.org/10.70456/QSZB1016

PAGES
261-266

DOWNLOAD
https://unitechsp.tugab.bg/images/2023/6-SHP/s15_p171_v2.pdf

How to cite this article:
Olesia Nechuiviter, Kyrylo Kovalchuk, EFFECTIVE CUBATURE FORMULA FOR THE APPROXIMATE CALCULATION OF THE TRIPLE INTEGRAL ON THE CLASS OF DIFFERENTIABLE FUNCTIONS, UNITECH – SELECTED PAPERS - 2024, 261-266

DISCRETE DATA APPROXIMATIONS AND THEIR APPLICATION IN ENGINEERING RESEARCH

Papers 2023

TITLE
DISCRETE DATA APPROXIMATIONS AND THEIR APPLICATION IN ENGINEERING RESEARCH

AUTHOR(S)
Milena Racheva

ABSTRACT
In this paper we present an important aspect in engineering practice. Namely: how to use effectively the data obtained as a result of measurements and approximations of required dependences and parameters. Our aim is to show different approaches to such computations and their philosophy for the engineering applications. Emphasis is placed on the approximation of a limited discrete set of data in order to get Fourier harmonics, when the periodic function is unknown. This idea is supported by realistic and numerically solved examples.

DOI
www.doi.org/10.70456/KLPZ6968

PAGES
257-260

DOWNLOAD
https://unitechsp.tugab.bg/images/2023/6-SHP/s15_p36_v2.pdf

How to cite this article:
Milena Racheva, DISCRETE DATA APPROXIMATIONS AND THEIR APPLICATION IN ENGINEERING RESEARCH, UNITECH – SELECTED PAPERS - 2024, 257-260

SOME RESULTS ON FIXED POINT OF FUNCTION IN S-METRIC SPACES

Papers 2023

TITLE
SOME RESULTS ON FIXED POINT OF FUNCTION IN S-METRIC SPACES

AUTHOR(S)
H.Karayılan

ABSTRACT
In this paper, we extend a version of Caristi’s fixed point theorem proved by Bollenbacher and Hicks [ Proc.
Amer. Math. Soc. 1988; 102(4): 898-900] to S -metric spaces. We also derive some fixed point theorems from
our main result.

DOI
www.doi.org/10.70456/HWZU7520

PAGES
253-256

DOWNLOAD
https://unitechsp.tugab.bg/images/2023/6-SHP/s15_p27_v1.pdf

How to cite this article:
H.Karayılan, SOME RESULTS ON FIXED POINT OF FUNCTION IN S-METRIC SPACES, UNITECH – SELECTED PAPERS - 2024, 253-256

USE OF AUGMENTED REALITY TECHNOLOGIES IN THE EDUCATIONAL PROCESS TO VISUALIZE EDUCATIONAL MATERIAL

Papers 2023

TITLE
USE OF AUGMENTED REALITY TECHNOLOGIES IN THE EDUCATIONAL PROCESS TO VISUALIZE EDUCATIONAL MATERIAL

AUTHOR(S)
Halyna Sazhko, Alina Chaika

ABSTRACT
The article discusses augmented reality technology, provides a brief overview of existing solutions and methods of using augmented reality, and highlights its relevance in the field of education in the context of rapid development of science, technology and engineering. The application of augmented reality to education is described in detail. The authors also proposes a classification of augmented reality technologies for education and provides examples of educational materials that use this technology. Conclusions are drawn regarding the use of augmented reality technologies in education, which will increase motivation to learn, promote better assimilation of information due to the diversity and interactivity of its visual representation, allow transferring part of the students' research work to the field of distance learning, improve learning conditions, promote the development of research skills, memory, imagination, thinking, emotional intelligence.

DOI
www.doi.org/10.70456/NYWO4101

PAGES
246-252

DOWNLOAD
https://unitechsp.tugab.bg/images/2023/6-SHP/s14_p54_v1.pdf

How to cite this article:
Halyna Sazhko, Alina Chaika, USE OF AUGMENTED REALITY TECHNOLOGIES IN THE EDUCATIONAL PROCESS TO VISUALIZE EDUCATIONAL MATERIAL, UNITECH – SELECTED PAPERS - 2024, 246-252

FIGURE OF THE NATIONAL BULGARIAN HERO IHNATIEV IN THE LIGHT OF THE UKRAINOCENTRIC VISION

Papers 2023

TITLE
FIGURE OF THE NATIONAL BULGARIAN HERO IHNATIEV IN THE LIGHT OF THE UKRAINOCENTRIC VISION

AUTHOR(S)
Horenko L., Zelinskyi R

ABSTRACT
The famous Russian diplomat and statesman Nikolay Pavlovich Ihnatiev is an important figure in Bulgarian history. The talented diplomat manifested himself not only in the service of Russian interests. He made a personal significant contribution to Bulgaria's independence. Count Ihnatiev was the author of the 1878 Treaty of San Stefano, under which Bulgaria received autonomy within the Ottoman Empire and later state independence. Nikolay Ihnatiev is considered a national hero of Bulgaria for such merits. After a diplomatic career, Count Ihnatiev settled in the Ukrainian village of Krupoderyntsi, which became the last place of his eternal rest. The period of the Count's life in Ukraine is marked by his effective commercial activity. As a Russian official, Nikolay Ihnatiev had a positive and sympathetic attitude towards Ukrainism, which was reflected in his personal life. Therefore, there are reasons to consider the figure of Nikolay Ihnatiev favorable to Ukraine and his period of life in Ukraine as an asset of Ukrainian historical and cultural heritage.

DOI
www.doi.org/10.70456/FAFT6005

PAGES
241-245

DOWNLOAD
https://unitechsp.tugab.bg/images/2023/6-SHP/s13_p19_v1.pdf

How to cite this article:
Horenko L., Zelinskyi R, FIGURE OF THE NATIONAL BULGARIAN HERO IHNATIEV IN THE LIGHT OF THE UKRAINOCENTRIC VISION, UNITECH – SELECTED PAPERS - 2024, 241-245