This article is about mathematical sets and related measure theory, in particular Jordan's measure. The Jordan measure is simpler than the Lebesgue measure and is used in many mathematical and practical fields. The article covers the basics of the Jordan scale, its mathematical properties and fields of application. Also, examples related to Jordan's scale are analyzed and help to give a perfect understanding to the students. This article is intended for students and mathematicians who are interested in the theory of mathematical measurement, and aims to provide them with a deeper knowledge of Jordan's measurement.

This paper explores the theory and practical aspects of the chase-escape game on the edges of regular polynomials. These games are usually studied in combinatorial game theory and graph theory, where the 'chaser' and 'escaper' move along the edges of the polyhedron, trying to catch or escape each other. The main principles, strategies and mathematical models describing these interactions are extensively covered in the article. Examples involving different types of regular polynomials are also considered, and general strategies and results are analyzed. This work is intended for researchers and students of mathematical and computer science interested in game theory, geometric models, and strategic problem solving.

Frazeologizmler til biliminde sóz shaqaplarına qatnası jaǵınan bir qansha dárejede izertlengen. Frazeologizmler quramında sanlıqlar qollanıladı hám san mánisinen alıslap basqa mánilerdi ańlatıp keledi. Biz bul maqalamızda qaraqalpaq tilindegi frazeologizmler quramında sanlıqlardıń qollanılıwı boyınsha ilimpazlardıń maqlaları hám ilimiy pikirleri haqqında sóz etemiz.

This study investigates the relationship between education expenditure and economic growth using econometric modeling. By analyzing data from multiple countries over the past twenty years, we aim to understand the impact of investment in education on a nation's economic performance. We employ a panel data regression model to analyze the influence of education expenditure on GDP growth, controlling for other significant variables such as labor force participation, physical capital, and government policies.

Deviant xulq-atvor ijtimoiy me'yorlardan chetga chiqadigan, jamiyat tomonidan nomaqbul hisoblanadigan harakatlar to'plamidir. Bunday xulq-atvorning shakllanishida turli omillar, jumladan, ijtimoiy muhit va madaniy ta'sirlar muhim rol o'ynaydi. Shu nuqtai nazardan, yoshlar orasida ommalashgan night clublar (kechki klublar) ham alohida ahamiyat kasb etadi. Ushbu maqolada night clublarning yoshlar ongida deviant xulq-atvor rivojlanishiga qanday ta'sir ko'rsatishi tahlil qilinadi.