Headings of the journal
"Educational Resources and Technologies"

Annotation: The article explores the category of “correspondence” in the field of information field and information modeling. The category of “correspondence” has a multifaceted nature of existence in terms of form, content, and relation- ships between objects. Correspondence can be a function, an image, a computational or logical operation, a way of transmitting information units, etc. Correspondence can be considered as a relationship, as a property between two entities, as a result of comparing information objects, as an assessment of the results of an infor- mation search. Correspondence can be procedural, semantic, morphological, structural, etc. Different types of correspondence determine the relevance of its research. The article presents a systematics of correspondences according to formal and applied features. The content of the correspondences of formal and applied meaning is revealed. Generalized properties of the category “correspondence” and its complement “nonconformity” are presented in terms of set theory and mathematical logic. The difference between full and partial correspondence is shown. It is shown that an important category of correspondence is ontological correspondence, which al- lows the formation of knowledge, and information correspondence, which is a composite correspondence in the information field. The developed foundations of the theory of correspondence between information objects are aimed at expanding and clarifying the formalized procedures of information retrieval and information modeling, and identifying implicit knowledge.

Annotation: The article is focused on the study of geoinformation morphism in the geoinformation field. Despite the actual application of this approach and method, theoretical studies in this area have not been conducted. Geoinfor- mation morphism and categorical morphism have similarities and differences. Geoinformation morphism is a morphism of spatial transformations. Geoinformation morphism makes it possible to link logical relations, spatial relations, categorical relations and functional connections into a single analytical complex. The content of geoinformation morphism is revealed. The analogy between the logical square and the commutative diagram from category theory is shown. The relationship of geoinformation morphism with information morphism is shown. The content of three types of geoinformation morphism is revealed: bijective geoinformation morphism, injective geoinformation morphism, surjective geoinformation morphism. The qualitative difference in the tasks solved by these types of morphism is shown. Three types of geoinformation morphism complement each other and allow solving problems of spatial transformations. Recommendations are given for the development of the direction of research of geoinformation morphism.

Annotation: The article describes and suggests a mechanism for upgrading complex systems based on regeneration technology. A new concept of “component complex system” is introduced in order to highlight the high level of complexity of systems and the use of special update technologies. The article provides a systematics of component complex systems. The difference between independent component renewal and regeneration of component complex systems is shown. The conditions for the expedient application of the regeneration mechanism for component complex systems are described. When regenerating a complex system, the main criterion is the criterion of the quality of its functioning. The standards GOST R ISO/IEC 25010-2015 and ISO/IEC 25010:2011 were chosen as the basis for compliance with this criterion. These standards are based on the model of a component trinitarian system. The article provides a formal description of the information component of a complex system and a description of the procedure for its regeneration. For comparison, a formal description of the additive system is given. The research results provide an alternative to reengineering technologies. They can find application in the moderni- zation of information systems and information services, implemented on the basis of modern methods and tools.

Annotation: The relevance of the topic lies in the fact that the general university philosophy course has a huge ideological potential, which, according to pedagogical experience, which is hardly used in modern educational technolo- gies. The object of the research is the didactic features of the students’ study of the «basic issue of philosophy». The subject of the study is the presentation of Pascal’s wager to students as the basis for a person’s ideological choice. The aim of the work is to substantiate the metaphysical asymmetry of this choice. The research methods are intellectual experiment, comparative analysis, inference by analogy and empirical generalization. The result of the work and one of its conclusions is the assertion of the priority of a person’s religious choice against his secular orientation. The field of application of the research results is multidimensional educational interactions and didactic strategies in both secondary and higher education. The second part of the article examines the di- dactic and ideological aspects of the study of the famous Pascal’s wager by the students in the course of general philosophy. Pascal’s wager is an almost mathematically accurate answer to the question of which life navigation system is better for a person to choose: the one, which is oriented towards materialism and atheism or the one, which is oriented towards philosophical idealism and theism.

Annotation: Traditional models of the recurrent neural network (RNN), such as LSTM (Long Short-Term Memory) and GRU (Gated Recurrent Unit), have long been used for time series analysis, but have limitations in learning on long sequences and high computational requirements. Recent advances in time series forecasting have shown a de- crease in their importance. In this article, a new RNN architecture with linear temporal complexity and lower memory consumption is proposed. During the study, the proposed RNN model was tested and its performance was evaluated for various temporal series analysis tasks. The presented results of the experiment show that the proposed model is superior to modern alternatives. The competitiveness of the model was confirmed by comparison with advanced models such as PatchTST and TimesNet. In addition, the proposed model surpassed the perfor- mance of models based on multilayer perceptrons (MLP) and proved to be more effective than models based on transformers. The proposed RNN architecture may become a promising direction for future research in this field.