Headings of the journal
"Educational Resources and Technologies"

Annotation: The purpose of this article is to analyze the military and political aspects of European integration. The current geopolitical process of forming a multipolar world determines the relevance of the topic. The European Union, which has sufficient economic and technological potential, may well claim to be a global center of power in the future. The prospects of turning the European Union from a primarily economic organization into a full-fledged military-political bloc are an urgent scientific problem. The article deals with issues related to the formation of military structures of the European Union. Cooperation between EU countries in the field of foreign policy, security and defense is characterized. The EU’s capabilities in these areas are being evaluated. The issue of the EU’s security relations with NATO is touched. The source base of the work is the fundamental EU treaties and decisions of key summits that touched on security and defense issues. The results of the work include a description of the main projects related to the formation of the military dimension of the European community and the European Union from the post-war period to the present. It is stated that the structures created at different times are not effective enough and that the prospects for implementing the “European army” concept in the near future are uncertain. The article deals with issues related to the formation of military structures of the European Union. The cooperation of the EU countries in the field of foreign policy, security and defense is characterized. The possibilities of the European Union in these areas are evaluated. The aspects of EU with NATO security relations are touched upon.

Annotation: The article discusses relevant issues of training for the digital economy, namely: the main directions of digital transformation, what the future companies will be, the necessary competencies, training technologies, overcoming resistance to change in the era of the digital revolution. Based on the content of the decree of the President of the Russian Federation “On the Strategy for the Development of the Information Society in the Russian Federation for 2017-2030”, ideas about the requirements for the ecosystem of the digital economy are specified. The issues of changing the main direction of HR management and the impact of these changes on the assessment of staff performance are considered. It is shown that the focus of attention is shifting to the sphere of intangible motivation and ethical problems. As the main means of increasing the flexibility of the companies of the future, the development of horizontal interaction of employees is proposed, which allows you to quickly adapt to changing external conditions. Expansion of the necessary competencies is forecasted up to the demand for universal specialists. The need for retraining a large number of employees and the consequent need for the development of innovative training technologies are noted.

Annotation: The method of modeling combinatorial sequences using special sequences of tables consisting of positive integers is considered. These sequences are called T-models and are constructed recursively using special mappings. For T-models, q-analogues are introduced, which allow modeling the q-analogs of combinatorial sequences corresponding to them. Partially ordered sets and the corresponding T-diagrams are also defined. With the help of these partially ordered sets and T-diagrams, numerous additional properties of the simulated combinatorial sequences are considered. Examples of T-models of sequences of generalized factorials, Catalan numbers and Bell numbers are given. Their q-analogues and T-diagrams are constructed. This makes it possible to investigate also the properties of balloting numbers, Stirling numbers of the second kind and their q-analogues. The structure of T-models of combinatorial sequences makes it possible to use the well-known analytical calculation packages Mathematica and Maple in their modeling. Therefore, T-models can be used in teaching students to separate sections of discrete mathematics and computer science, as well as to obtain with their help combinatorial results.

Annotation: The paper proposes an approach to estimating the unknown constant parameters of the mathematical model of analog signals used in modern measurement systems. Accounting for the physical features of such models leads to equations of state in the form of Lagrange equations of the second kind. Further identification requires the construction of a residual functional, the minimum of which is provided by the actual values of the unknown parameters. The formulated task is the inverse incorrect according to Hadamard. Its solution is reduced to the search for a stationary point at which the minimum of the smoothing functional is provided. For this purpose, an apparatus for asynchronous variation of the trajectory and needle variation of the disturbance is used. The search for minimum conditions by the method of successive approximation to a stationary point, and then the invariant immersion method to a two-point boundary value problem leads to an iterative algorithm for identifying parameters. The effectiveness of the proposed apparatus is confirmed by numerical simulation in the MathCad environment, a comparison of the results obtained by estimating the unknown parameters of the analog signal model with the results of the Kalman filter demonstrates the advantage of this approach.

Annotation: The article analyzes the changes taking place in the world economy at the present stage of development, considers the key features of the fourth industrial revolution. Revealing the content of the main policy documents, the fundamental criteria for analyzing the development of the digital economy in the Russian Federation are formulated. Specific examples demonstrate the possibility of changing the nature of industrial and agricultural production with the proper use of information technology. The results of information analysis become in the new conditions a more valuable commodity than physical objects. The paper reveals the basic principles of closedloop Economics and justifies the need to expand information exchange at all levels of interaction. The stated facts show that information technologies create the Foundation for the construction of a circular economy that allows to solve the problem of improving the environmental safety of human civilization, making a real contribution to the conservation of natural resources, minimizing undesirable consequences of climate change, maintaining a comfortable living environment of the population.