Nanotechnologies represent one of the priorities of the progress in all fields of the modern science and technology. The thermal fluctuations play a significant role for the nanosized objects. However, in modern textbooks and educational standards, studying thermal fluctuations have not received enough attention. The purpose of the present paper is to fill in this lacune partially. The presentation of the material is focused on the stochastic harmonic oscillator model, i.e. on the vibrational system experiencing the action of the dissipative and stochastic (random) forces. In the paper, we present several examples of specific modern physical experiments and phenomena requiring the above model for their description. The Chandrasekhar method for constructing the probability density depending simultaneously upon two fluctuating variables (being for our problem the generalized coordinate and velocity) is enunciated. This method is not widely known. We also enunciate the Lagrange method of constants variation; this method forms the basis for obtaining the solution of the differential equation describing the harmonic oscillator underwent stochastic forces. Using this method, we obtain the specific formulas designed to describe the time dependence of the variance of the generalized oscillator coordinate, the variance of its generalized velocity, and the correlator of these two as well as the mean values of the generalized coordinate and velocity. These formulas are valid for the case of the damped oscillations when the oscillator eigen frequency exceeds the damping coefficient. The resulting formulas are analyzed for the limiting cases. In particular, we show that at small values of time the variance of the stochastic harmonic oscillator velocity evolves with time in the same way as the variance of the coordinate for free Brownian particle.

This article discusses educational work on the formation and development of family values of students of a pedagogical university. The purpose of the work is to identify the value preferences of junior students of the pedagogical University. The research methods used include conversation, questioning, observation, and the method of expert assessments. The results obtained can be applied in the work of curators and teachers. The authors of the article came to the conclusion that the primary task of a pedagogical university is the training of future teachers, the transfer of socially positive attitudes, traditional family values. The solution of this problem is realized through such forms of educational work as the creation of creative associations and collectives of students, meetings with married couples, reference for students, watching and discussing films on the problems of family values created, including by the Omsk branch of the Russian Children's Fund. The authors described the implementation of the project "Promotion of family values" and reflected its effectiveness.

The article is devoted to the consideration of the selection of the content of language teaching at the university. The relevance of the topic is due to the need to find effective solutions to the development of a large volume of educational materials with limited training time; the need of modern society for specialists who are able to independently improve their professional and personal level; the importance of considering this or that phenomenon under study in the broad context of its functioning for the formation of a holistic, systemic picture of the world for students.

 Ensuring the optimal organization of students' learning activities contributes to the formation of their willingness to process information, transforming it and, accordingly, their belief system. The broad context of language teaching requires the involvement of data from various sciences that study the organization of information, ways of its interpretation and evaluation. Their complex application makes it possible to comprehensively describe and justify the communication processes. The article offers a consistent plan for the development of students' speech-thinking skills in the process of learning a language, gives examples of exercises aimed at developing various logical operations.  

The authors describe in an algorithmized form two directions of working with information (interiorization and exteriorization). In the process of translating information into knowledge through its analysis, the student builds a reference logical scheme, the addition of which with personally significant elements constitutes a countertext The process of translating the idea into the text of external speech requires knowledge of the composition, essence and sequence of application of lexical and logical operations of translating representations of internal speech into units of language. The necessity of the student's understanding of the structure and features of the speech-thinking process for the application of algorithms and control of their use at each stage is substantiated. The authors conclude that it is necessary to supplement the elements of students' competence as a result of learning.

The relevance of the application of innovations by organizations in the region is justified by the rapidly changing consumer preferences at the micro level and the need to ensure the economic security of the country at the macro level. The innovative way of development of the economy of any region involves the constant improvement of all components of the economic system, including the innovative infrastructure of the region. The innovation infrastructure is one of the main elements of not only the regional, but also the national innovation system. The paper presents an analysis of the composition of the innovation infrastructure within the four component approach. In accordance with this approach, when studying the innovation infrastructure, the authors identified the following components: technological and organizational component, including technopolises, technology parks, business parks, etc.; financial component, including specialized funds, venture funds, budgetary funds, financial and credit organizations; a component that includes educational organizations and organizations that form an innovative culture in the region; innovative and legal component, including legislative acts, arrays of reference information on new developments, databases, data from patent offices. The analysis of the main results of innovative activity of organizations in the region is carried out. The authors focus on the fact that not only the volume and quality of implementation of specific innovative projects implemented by specific enterprises, but also the process of implementing innovative transformations in the region depend on the level of development of the innovation infrastructure. The methodological basis of the work was the work of domestic scientists in the field of innovation infrastructure research. In the course of the study, both general scientific methods and techniques (analysis and synthesis, tabular presentation of materials, methods of a systematic approach to studying the problem) and specialized ones (analysis of regional statistical data, monitoring of innovative activities of enterprises in the Omsk region with the involvement of sources of secondary information) were used

The article describes topical issues related to the main trends in digital employment management. The relevance of the study is determined by the increase of digital employment under the influence of changes in the global economy, structural and technological shifts, digitalization of labor activity, demographic and other factors. The authors of the article give a definition of digital employment, they consider and analyze the factors of the spread of digital employment in the Russian labor market. The model for digital employment management is proposed in accordance with the identified opportunities and threats at the labor market. The object of the study is digital employment. The subject of the study is the socio-economic aspects of digital employment management. The aim of the work is to study the topical aspects digital employment management, the features of its spread in the Russian Federation, identifying opportunities and risks, as well as developing tools aimed at realizing its benefits and measures to prevent negative manifestations. The authors used general scientific methods: analysis of literature, generalization and systematization of the information, as well as special research methods: SWOT analysis, statistical groupings, and others. The result of the study is the identification of the opportunities and obstacles for the development of digital employment at the level of labor market entities (employee, employer, state), as well as the development of a model for its management, which allows including digital employment in the sphere of labor relations, taking into account the achievement of a balance of interests of all its participants. The results of the study can be applied by organizations, specialists in the field of labor relations, as well as state authorities and other interested economic entities in the process of improving forecasting and analytical activities in order to increase the adaptation of participants in the Russian labor market to the changing conditions of economic development in the era of digitalization.

The article discusses an approach to assessing the stability of the regional economy, based on the heterogeneous Markov model. In the system of economic security of the region, stable states are distinguished, which can be ordered according to a certain level of stability, as well as a set of unstable states, characterized by a certain level of deviation from stable states (in this case, unstable states can also be ordered according to a certain level). The model specifies the transitions of the system between states under the influence of a set of external and internal threats to economic security in the form of an inhomogeneous Markov process. One of the main features of the model is the dependence of the intensity of transitions on the volume of budgetary funds required to monitor the level of economic security and aimed at eliminating potential threats or mitigating their actions. In addition, the model takes into account the fact that the allocation of funds for the deployment of some events does not bring an immediate effect, i.e. the intensity of transitions from an unstable state to a stable one is proportional to the period of time, counting from the moment of receipt of budgetary funds. In this work, on the basis of the Monte Carlo method, an algorithm is described for modeling the change of states of the considered random process over a finite time interval and calculating the final probabilities of states. The results obtained can be used by regional authorities as a tool for predicting the level of economic security, as well as in planning a set of measures aimed at maintaining the stability of the economic security system.

The study analyzes the foreign experience of global high-tech corporations, as well as examines the main reasons that significantly slow down the process of digitalization in Russia and suggests measures and appropriate tools that contribute to a significant acceleration of the digital transformation of domestic industry, implemented only in the process of a coordinated integrated approach concerning not only production and technology, but also personnel policy, logistics flows, financial activities, operation of main and additional production areas, etc. The purpose of this article is to systematize the domestic and foreign experience of digital technologies in the direction of intensifying the process of digital transformation of the Russian industry as a whole, as well as individual territories and enterprises. In the course of the study, the experience of digital transformation of industry implemented in foreign countries was analyzed, both clear leaders such as Singapore and Japan and lagging states, including South Africa, Egypt, Pakistan and others, were identified. As a result of the study, it was found out that the effectiveness of digitalization of the domestic industry will largely be determined precisely by strategic priorities and the scale of stimulating state policy in the field of financial, information and institutional support for the digitalization process. The article develops proposals to accelerate the process of digitalization of industry by focusing efforts on financial support of priority areas and creating preferences in Russia for the introduction of domestic digital technologies into production over foreign analogies. The results obtained can be applied in the activities of Russian industrial enterprises and regional and municipal government.

The intellectual infrastructure, formed for the purpose of technological development, is an integral feature of the innovative growth of industrial enterprises. Over the past five years, a characteristic feature of the intellectual infrastructure has been the inclusion of special units in the form of testing laboratories, small and medium-sized innovative enterprises from cluster formations, and research sites as business partners of industrial corporations. They work closely with regional research centers and information and communication companies. The reason for the vigorous activity in this direction can be called the urgent need for the intellectualization of business processes, the simplification and unification of workflow, and the improvement of the management system for technological and product innovations.

The purpose of this study is to study the current state of the intellectual infrastructure of technological development, the factors that determine it, as well as the development of scientific and methodological approaches to managing the process of intellectualization of production. Theoretical provisions and conclusions relate to the study of approaches to the formation of the management mechanism for the organization of intellectual infrastructure. As such approaches, a balanced scorecard is indicated that affects the state of the intellectual infrastructure; strategic vision of the directions of innovative development; use of intellectual capital to create the value of industrial corporations. Based on the processing of statistical information, it was revealed how dynamic the transformations in the field of intellectualization of domestic industrial technologies are, how the digital portrait of modern social relations is changing, how quickly digital technologies are developing in industries that directly or indirectly serve the industrial complex of the country? The cyclical parameters of the formation of the management mechanism for the organization of intellectual infrastructure are revealed. It is emphasized that in an unstable external environment, entrepreneurial confidence is falling. This fact can become a barrier to the intellectualization of production. It is shown that the priority directions of the investment policy of manufacturing enterprises are modernization, automation of the production process, saving energy resources. This emphasizes the compliance with global trends in the development of industrial complexes. It is concluded that the increase in the number of organizations performing research and development indicates the presence of a high potential for the development of intellectual infrastructure for the technological development of industrial enterprises.

An important characteristic of any company in the contemporary business environment is the availability of human resources capable of creation, implementation and use of modern technologies. The purpose of this paper is to form an idea of the "new type" employee meeting the requirements of the current stage of business systems development. After all, it is staff characteristics and competencies that determine the company's readiness to change and success in implementation of such change. The transition from SPOD world to the new reality is characterized by serious changes for business systems. This paper presents a characteristic of VUCA reality. We substantiate the need for the company's internal transformation and importance of the formation of the "new type" employee. We offer a list of skills and qualities necessary for the "new type" employee in VUCA reality. The author brings forward her own approach to the representation of skills and qualities model of the "new type" employee. The obtained results can be applied in companies understanding the need to transform their business systems with consideration to changes taking place in business environment. Transformation of business systems normally begins with managers rethinking their company's restrictions or capabilities. Understanding the importance of developing the "new type" employee and creating the appropriate HR policies will open up new opportunities for business systems and allow them to effectively work on their limitations. The skills and qualities model can be used in the process of staff recruitment, assessment, development and training, as well as in improvement of employees' effectiveness. Creating the image of the "new type" of employee will prepare the company for transformation and enable its long-term and effective operation in a volatile and turbulent business environment.

The article attempts to study the role of risk management in the implementation of investment projects. The main purpose of the article is to identify the main patterns that determine the features of risk assessment in business as a key element contributing to the organization of investment projects. The research is based on methods of cognition, retrospective and documentary analysis, as well as synthesis, generalization and systematization of information. The article describes various types of investment and project risks, methods of risk analysis of investment projects, performance indicators of investment projects, as well as analysis of risk factors and uncertainties during the development of investment projects. The peculiarity of the application of risk analysis methods in the implementation of projects is considered. The methods of risk assessment of an investment project help to assess the feasibility of the project, the initial period of time after which it will generate income, as well as the probabilistic amount of future profit. This article establishes a model of income and risk in financial investments based on the theory of multi-purpose programming in order to analyze the relationship between risk and return on financial investments and discuss the relationship between the risk borne by the investor and the degree of decentralization of the investment project. The use of the presented mathematical model makes it possible to analyze the investor's future profitability at a fixed level of risk and minimized risk with a set benefit. This model assumes the choice of an optimal portfolio with a designated level of risk during the implementation of investment projects. This article analyzes the sensitivity of risk in the income model and suggests the optimal portfolio for an investor without special preferences. Calculations show that the created model is satisfactory for determining the optimal portfolio.

Studies of the problem of economic security of regions have become widespread among domestic scientists in the past few years, both in the field of methodology and in practical application. This article examines the most notable areas of research in the field of economic security abroad, as well as reviews the practices of applying tools for the development of economic security of regions through a review of modern foreign researchers, including identifying trends and technologies for the development of economic security of regions using the example of the experience of other countries. Within the framework of the work, two areas of research are highlighted - a review of developments in the field of economic security in the United States and in Europe, including the experience of the administrative use of the practice of economic security and research of private organizations. It was revealed that, despite the differences in the administrative division of the studied subjects, the orientation of economic security goals to support human needs remains and the need to consider economic security inseparably from other types of national security. The use of foreign experience in the field of economic security will allow to expand the existing domestic research with tools and methods for constructing statistical models.