On the class of graphs with strong mixing properties

We study three mixing properties of a graph: large algebraic connectivity, large Cheeger constant (isoperimetric number) and large spectral gap from 1 for the second largest eigenvalue of the transition probability matrix of the random walk on the graph. We prove equivalence of this properties (in some sense). We give estimates for the probability for a random graph to satisfy these properties. In addition, we present asymptotic formulas for the numbers of Eulerian orientations and Eulerian circuits in an undirected simple graph

К вопросу о дистанционном обучении в аэрокосмической отрасли

Данная статья содержит информацию о возможности применения дистанционного обучения в образовательном процессе для получения степени бакалавра или магистра, либо для получения сертификата о прохождении образовательного курса в области аэрокосмической инженерии. Также рассматриваются преимущества и недостатки электронного обучения в аэрокосмической сфере. Проводится сравнительный анализ различных программ дистанционного обучения в зарубежных странах по основным критериям: стоимость обучения, продолжительность и содержание курса, требования кстуденту и т.д. Кроме того, изучена распростран?нность онлайн обучения в аэрокосмической отрасли в России и выявлены возможные проблемы реализации дистанционного обучения в аэрокосмической инженерии.This article contains an information about the possibilities of applying distance learning in the educational process in order to earn bachelor's degree or master's degree, or to obtain a certificate of passing the educational course in the field of aerospace engineering. The advantages and disadvantages of e-learning in the aerospace field are also mentioned. Comparative analysis of various distance learning programs in foreign countries was made according to the main criteria: tuition fee, duration and course content, student requirements, etc. In addition, the prevalence of online learning in the aerospace industry in Russia and possible problems of implementation ofdistance learning in aerospace engineering are covered

Management lag: can social management keep up with high technologies?

The article is devoted to the social management challenges in the digital age. Much attention is paid to the consequences of the high technologies introduction in society, including the “management lag” phenomenon and the issue, whether a society with “smart” technologists absorbed by the ubiquitous digitalisation processes, has time to manage social processes effectively. The relevance of the issue is also determined by the events related with the shift to remote working for many enterprises in the COVID-19 pandemic, during which the world encountered the organising work challenge using information and communication technologies. The functioning of E-Government platforms as one of the innovations examples in social governance in the world is considered in the article through the prism of government programmes of a number of developed countries and relevant statistical data. The Russian and foreign statistical agencies materials, major organisations electronic databases, keeping high-tech development records: Pricewaterhouse Coopers, Boston Consulting Group, United Nations, World Bank, Russian Government, etc., were used for the analysis. It has been concluded that contemporary high-tech society is forced to look for new, efficient governance methods. The management system must be updated to simultaneously meet the social reality demands and keep up with digital changes. Management decision-making processes in an electronic digital society are in the transformation process, and the high technology implementation isues in society are being debated in the scientific community. The digitalisation speed and scale are faster than cultural and managerial development, which is a threat to social progress