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Node.js and Scala are two popular development technologies that have unique features and applications. Node.js is a server-side JavaScript that has become the foundation for many web applications and services. Scala, on the other hand, is a powerful programming language that combines the benefits of functional and object-oriented programming. In this article, we compare these two technologies, review their features, advantages and disadvantages, the main characteristics of each technology, and their areas of application. Node.js or Scala, both these tools provide great opportunities to create powerful, scalable and efficient applications and this article discusses how they can be integrated to create a scalable application. [ABSTRACT FROM AUTHOR]

The paper analyzes the problems associated with processing large amounts of text data, such as scientific articles, and discusses the possibilities of using distributed data processing systems to improve the efficiency of analysis. In particular, the authors of the paper study the use of language models such as 𝑁 -grams and recurrent neural networks to extract meaning and classify scientific texts. The paper presents algorithmic approaches and methods based on distributed processing and describes the possibilities of using language models and distributed processing algorithms. In general, a new approach to the analysis of scientific texts is proposed, based on the use of language models and distributed data processing frameworks. [ABSTRACT FROM AUTHOR]

The coming era of digital transformation, from the point of view of the consumer of information services, has a dual character. On the one hand, there is an excess of information, and on the other hand, its absence in the form ready for adequate perception by the vast majority of citizens. The ongoing «information overload» causes the effect of reducing the motivation to use information, which entails the closure of libraries and the reduction of the library stock. Integrating modern technologies into library activities, providing the relationship between the physical and virtual worlds, will bring the library to a completely new level of relationships with readers and significantly increase the efficiency of information use. The article deals with the issues of innovative activities of the library, aimed at developing and implementing the provisions of the digital development strategy, which provides for digital transformation, which implies a significant increase in efficiency through the introduction of new user service technologies. It is substantiated that the methodology of Academician V. L.Kvint, according to which strategy is defined as a system of search, formulation and development of doctrine, which ensures long-term success with its consistent and complete implementation; in accordance with the stated principles of strategizing, the scheme for developing a strategy for the advanced development of a modern library is formalized and described. It is shown that the methodology of program-target management makes it possible to synchronize the process of strategizing with the processes of «substantiating goals in terms of their achievability in time and consistency with resource capabilities», such synchronization is provided by the logical scheme of the method: «goals — ways to achieve — means», in accordance with which the goals set for the digital development of the object of strategizing are implemented by a set of organizational and technical measures provided with the resources required for this.

Objective. The purpose of this work is to optimize the functioning of the automated control system of the heat supply system. The connection between the flow rate of flue gases at the inlet to the waste heat boiler and the temperature of the heat carrier at the far point of the consumer is subject to adjustment.Method. The methodological basis of the study is: the heat balance equation for the waste heat boiler of the combined cycle plant; principles for ensuring the specified parameters of heat supply to the consumer; equation of heat and mass transfer and sanitary standards for heat supply.Result. A mathematical apparatus has been developed that expresses the dependence of the flue gas flow rate at the inlet to the waste heat boiler and the temperature of the coolant in the heating device in the farthest room of the analyzed building.Conclusion. Optimization of the automated control system of the heat supply system on the example of a building of a higher school shows the possibility of improving the accuracy of control of the automated control system by the heating system. In the case of an additional installation, the narrowing of the error corridor occurs by 2.5 times.

Synopsis: The topic in this paper has been the subject of an intense controversy over the past years. The following remarks are aimed at providing a simplified introduction to the psychological concepts of significance. A mathematical presentation is intentionally avoided because, on the one hand, the readership decreases exponentially with each mathematical formula and, on the other hand, these are given in detail in the special lectures or in scientific presentations. Starting from the historical background, the focus here is on the concepts of the ideas on the one hand, and on the other hand, the modern discussion of these concepts will be presented briefly.

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The article outlines the main features of the use of the theory of indefinite bundles in the evaluation of the cost-effectiveness of investment projects. He analysis of methods for quantifying the effectiveness of the IP under uncertainty suggests that the existing methods either eliminate the uncertainty from the IP model, which is inappropriate, since uncertainty is an integral characteristic of any forecast, or are unable to formally describe, and take into account all possible varieties of types of uncertainty. Methods based on the theory of fuzzy sets refer to the methods of evaluation and decision-making under conditions of uncertainty. Their use implies the formalization of the initial parameters and performance targets of the IP in the form of a vector of interval values (fuzzy interval), the hit in each interval of which is characterized by a certain degree of uncertainty. Also, the fuzzy-interval approach has advantages in solving the problems of forming an optimal portfolio of investment projects. To solve the problem of forming an optimal IP portfolio, a large number of models for the formation of an optimal IP portfolio have been developed, differing from each other in the form of objective functions, variable properties, used by mathematical methods, and uncertainty.

A number of aspects determining the role of classical and applied mathematics in natural and applied sciences, particularly, in chemistry and chemical technology is considered. Examples of finding new regularities with the use of mathematical concepts and mathematical tools are given.