On the embedding problem of central cyclic extensions of abelian groups

In this report we find the obstruction of the embedding problem related to a central cyclic extension of an arbitrary abelian group.

Practical guidelines in accounting or how commercial books were "kept" in the early XX century

As a reflection of the economic reality, accounting, through its specific methods, provides an opportunity to obtain information about the condition and movement of specific objects, an integral part of the property of the enterprise. The information received from the accounting, serves as a basis for outlining guidelines for the development of the economically separate reporting unit. This study presents the importance of accounting manuals. It is considered that through them the accounting activity is presented, described, substantiated and explained.

Integrating the multimedia approach in modern educational technologies

This article reflects the positive effect of integrating multimedia learning content in students’ education. Multimedia lessons are developed and presented, that increase students' interest in the learning material and increase their knowledge and competencies.

Overview of cryptographic algorithms for audio files and their properties

Any cryptographic algorithm that is claimed to be effective must be properly analysed to prove its effectiveness, reliability and security. In this paper the most used quality indicators are reviewed and classified. The principles of the audio encryption are reviewed. A classification of the analysing methods is made.

Dynamical behavior of the strong dispersive nonlinear wave equation

In this paper we consider the dynamical behavior of solutions near explicit self-similar solutions for a strong dispersive nonlinear wave equation. First we construct explicit self-similar solutions, then we investigate dynamical behavior of the solutions near to the self-similar solutions.

Thinking, intellect and mathematics training

In this article we suggest some tools for development of students’ thinking and intellect using different ways of learning mathematics. We have considered a learning approach that stimulates the intellectual development of learners, namely tasks, that take qualities such as wits, flexibility, transfer of knowledge in new conditions etc, when solving the questions.

The possibilities of own blocks in the scratch educational environment

In the present study, the main possibilities of own block in Scratch block environment are considered. An example implementation is proposed, which can be used in the curriculum of the discipline "Computer Modeling and Information Technology". Some peculiarities related to the application of own blocks in the creation of animations, algorithms and educational projects in the Scratch block environment are presented.