The report implements the initiative round table on the theme "Convergence of professional, scientific and educational network communities and prerequisites for its implementation: a collaboration of intellectual processes and investigations of advanced technology precursors". The target setting corresponds to a new project focused on a comprehensive discussion of issues of formation of digital socio-economic environments and assessment of the quality of life of the Russian population on the basis of conceptual models of integration, collective expertise, and convergence of professional, scientific and educational network communities. The aim of the new project is to ensure interdisciplinary interaction of groups of researchers in the interrelated fields of sociohumanitarian and natural sciences. The thematic area of the project is "Theoretical and methodological aspects of the formation of digital socio-economic environments based on conceptual models of integration, collective expertise, and convergence of professional, scientific and educational network communities in the conditions of the digital economy of Russia and the evolutionary self-organization of the information landscape". The main content of the project is the development of an original digital platform. In this regard, interdisciplinary research and development in its fundamental basis are directly aimed at the implementation of effective management of the socio-economic environment of professional, scientific and educational network communities (professional social network of research teams) in the transition to digital, intelligent 110 production technologies, new materials, by creating original tools for search, collection, storage and processing of pertinent information resources in modern conditions of rapid development of bioinspired technologies. At the same time, the complex studies (in the presented problematic issues of the initiated project) are determined by the internal logic of the development of socio-humanitarian and natural sciences. This work described by the context of the problem of ensuring the humanity readiness for big challenges, taking into account the interaction of man and technology, social institutions at the present stage of global development.

Modern information and telecommunication technologies allow not only to provide information required for training students in electronic form, they promote changes in educational process. The electronic information educational environment provides the necessary mechanism for implementing student’s individual trajectories of training. Depending on his or her learning progress the process can vary from basic to intensive, with changes in volumes of information provided. One of the approaches to developing an adaptive electronic educational course is described in this paper. The tree of concepts mastered by students is considered as a basis for knowledge component organization. The tree of concepts will allow not only to organize theoretical material of the course in the form of the separate blocks of educational information intended for studying but also to determine a necessary and sufficient set of questions for testing students.

We consider the nonparametric estimation of the univariate heavy tailed probability density function (pdf) with a support on [0,∞) by independent data. To this end we construct the new kernel estimator as a combination of the asymmetric gamma and weibull kernels, ss. gamma-weibullkernel. Thegammakernelis nonnegative,changestheshapedependingonthe position on the semi-axis and possess good boundary properties for a wide class of densities. Thus, we use it to estimate the pdf near the zero boundary. The weibull kernel is based on the weibull distribution which can be heavy tailed and hence we use it to estimate the tail of the unknownpdf. The theoretical asymptotic properties of the proposeddensity estimator like bias and variance are derived. We obtain the optimal bandwidth selection for the estimate as a minimum of the mean integrated squared error (MISE). Optimal rate of convergence of the MISE for the density is found.

The paper is devoted to a cosmonaut training planning problem, which is some kind of resource-constrained project scheduling problem (RCPSP) with a new goal function. Training of each cosmonaut is divided into special courses. To avoid too sparse courses, we introduce a special objective function—the weighted total sparsity of training courses. This non-regular objective function requires the development of new methods that differ from methods for solving the thoroughly studied RCPSP with the makespan criterion. New heuristic algorithms for solving this problem are proposed. Their efficiency is verified on real-life data. In a reasonable time, the algorithms let us find a solution that is better than the solution found with the help of the solver CPLEX CP Optimizer.

A discrete model of multitransmitter interactions between neurons in a common extracellular space (ECS) is proposed. Neurons in the model are heterogeneous in three different senses. They differ in (i) the type of endogenous change in the membrane potential, (ii) the type of secreted neurotransmitter, and (iii) the set of receptors, wherein each receptor is sensitive to a particular neurotransmitter. The model is characterized by the broadcast nature transmission of the signals: the neurotransmitter appeared in the ECS is treated as an input signal for all neurons with receptors sensitive to it. It is shown that the extrasynaptic interaction of neurons combined with multitransmitter environment enables to reproduce the rhythms generated by simple natural neural networks.