cluster analysis

In the conditions of deepening the processes of European integration, the article analyses the main foreign trade partners of Ukraine. In order to study trends in changes in foreign trade during the period of martial law, the article uses 3 analytical periods: 1st quarter 2020, 1st quarter 2022, 1st quarter 2024. Cluster analysis implemented in SPSS from IBM was used to form groups of foreign trade partners.

Запропоновано алгоритм кластеризації текстових документів методом k–середніх у векторному просторі частотних характеристик семантичних полів. Показано ефективність семантичного кластерного аналізу при вивченні класифікацій текстових документів, зокрема за авторством.

The algorithm of clusterization of text documents by k–means method in the vector space of frequencies characteristics of semantic fields has been proposed. The effectiveness of semantic cluster analysis for investigation of text documents classifications, particularly authorship has been shown.

This work studies the impact of electromagnetic fields on the degradation of agricultural land. During the analysis of available sources of information, it was found that in the scientific publications by domestic authors, there is no mention of such a factor of land degradation as the action of electromagnetic fields (EMF) of man-made origin. Numerous scientific works by foreign experts present the results of experimental studies that confirm the negative impact of electromagnetic radiation (EMR) of power lines (PL) on agricultural land.

The results of the study of the adsorption capacity of a number of sorbents of natural and synthetic origin with respect to iron ions have been clustered. The sorption capacity of the following sorbents was studied: natural zeolite of the Sokyrnytsia deposit, synthetic sorbent based on the ash of Doborotvir heat power plant, Al2O3, SiO2, as well as some types of soils: sandy soil, black soil and clay. Equations describing the regularities of adsorption processes depending on the type of sorbent are obtained.

The results of the research of the adsorption capacity of a number of sorbents of natural and synthetic origin for ammonium ions have been clustered. The natural zeolite of the Sokyrnytsia deposit, a synthetic sorbent based on the fly ash of Dobrotvir state district heat power plant, Al2O3, SiO2, as well as some types of soil: sandy soil, black soil, and clay were used in the research. Equations describing the regularities of adsorption processes depending on the type of sorbent were obtained. According to the obtained dendrograms, two main clusters of sorbents were identified.

To assess the achievement of goals in the context of implementing a sustainable development model, we are considering the methodical and applied tools based on the use of the theory of fuzzy sets and the technology of implementing the model of communication between its individual indicators, which should be used in developing scenarios of strategic development of Ukraine

The article deals with the main quantification methods of the system of checks and balances. Taking into account the main historical stages of the development of ideas concerning the functioning of the checks and balances system, on the basis of the comparative method, the main features of understanding the functioning of different aspects of checks and balances system by using mathematical methods are emphasized.

The essence of the health resort complex is revealed in the article. Peculiarities of the
subjects of health resort activity in the context of their orientation, belonging, socio-economic
effect, influence on related areas, global role, and subordination are described.
The typology of subjects of health resort activity in the current normative-legal acts is
investigated. The difference in approaches to the selection of types of health resorts by a
number of institutions of Ukraine is described.

In order to study fiscal policy on state regulation of man-made damage to the national
economy, the theoretical principles of application of its instruments under conditions of
incomplete information and uncertainty of the future have been summarized in this paper.
According to objectives of the research tasks appropriate level of environmental taxes on
factors of the levels of man-made damage to the national economy, and the study of features of
fiscal policy means cluster analysis and the formation of approaches to the selection of effective

Procedures of data mining based on prediction of time series for land cadastre data are described in this article. Principles required for the development of the method of forecasting using time serious are examined. Mathematical model is developed. The task of predicting land resources use in Striyskyi Park in Lviv is technically realized.