прикладной

прикладной

Applied.

In this sentence, 'прикладной' is used to describe a specific field of mathematics focused on practical applications rather than theoretical concepts.

Этот учебник посвящён прикладной математике.

This textbook is dedicated to applied mathematics.

Here, 'прикладное' qualifies 'искусство' to indicate art forms focused on functional or utilitarian purposes in addition to aesthetic qualities.

Мы изучаем прикладное искусство на факультете дизайна.

We study applied art at the design department.

In this context, 'прикладные' characterizes 'исследования' to emphasize their practical, application-oriented nature.

Прикладные исследования часто приводят к разработке новых технологий.

Applied research often leads to the development of new technologies.