V.I. Arnold gave a miniversal deformation of matrices of linear operators; that is, a simple canonical form, to which not only a given square matrix A, but also the family of all matrices close to A, can be reduced by ...

The work examines the conceptual and categorical nature of the apparatus of the theory of adaptive management of enterprises in the conditions of digitalization of the economy. The article aims at generalizing the theoretical ...

The article considers the organizational conditions for the functioning of the sports industry, suggests ways to ensure the strategic development of the sports industry in conditions of uncertainty. The possibility of ...

The article analyses the challenges and priorities of modernising Ukraine’s higher education (HE) system in the context of European integration. It provides an overview of educational transformation processes driven by ...

Hopfian modules, δ-Hopfian modules. In this paper, we introduce the notion of δ-Hopfian modules. We give some properties of these modules and provide a characterization of semisimple rings in terms of δ-Hopfian modules by ...

Franz Kafka’s novella “A Country Doctor” remains one of the most enigmatic and symbolically rich works of early twentieth-century literature, offering a profound exploration of human existential experience. This article ...

We give a lower bound on multiplicative ordersof certain elements in defined by Conway towers of finite fields ofcharacteristic 2 and also formulate a condition under that these elements are primitive.

Dyslexia, as a most common learning disorder, might have negative consequences on children’s abilities not only in general education, but also in music acquisition. Not only it might affect their notation literacy, ...

We have introduced the concept of neighborhood- prime labeling and investigated it for paths, cycles, wheels and union of such graphs earlier. In this paper, we construct neighborhood- prime labelings for graphs that ...

The study’s relevance lies in the importance of literary education, which not only develops aesthetic taste and critical thinking but also prepares students for independent continuous education, involving the searching, ...