A method is developed for predicting the sorption parameters of polymers (the infinite dilution solubility coefficient of gases S and the Henry law equilibrium constant k D of double sorption models) of most light gases in glassy polymers on the basis of a computer model of a polymer chain segment. From the molecular dynamic model of conformations of a short (about 200–600 atoms) segment of the polymer chain, the dependences of a number of geometric indices, such as the accessible surface area and the accessible surface area with a positive partial charge, on the probe radius (in fact, on the effective radius of penetrant or sorbate) are calculated. The linear approximation coefficients of these dependences are used as explanatory variables in multiple linear regression. Significant variables and their weights in regression are determined on the basis of experimental measurements from the Database of Physicochemical Properties of Polymers of the Laboratory of Membrane Gas Separation at the Institute of Petrochemical Synthesis, Russian Academy of Sciences. By using a more accurate algorithm for calculating the areas of macromolecules, the shortcomings of the first version of this method are eliminated. For S, the coefficient of regression determination (adjusted R 2 ) on the test sample is equal to 0.8 (this corresponds to an average relative error of 77% in predicting S, which is considered good accuracy), and for k D , the coefficient of determination is 0.81 and the average relative error is 47%, which is also a good result considering large (up to decimal order) errors of the experimental measurements of S and k D .

In this paper, asymmetric regular resource networks with several attractor vertices are considered. It is demonstrated that the resource surplus ΔW = W - T above a threshold value W = T has the same allocation in such a network as in the corresponding absorbing network, which is obtained from the asymmetric one by eliminating the outbound edges of attractors. But there exist corrections depending on the capacities of the outbound edges of attractors and also on the initial resource allocation. Upper bounds of these corrections are derived. The initial states that lead to the exact limit states without any adjustments are determined.

Critical infrastructures of all countries unites common cyberspace. In this space, there are many threats that can disrupt the security of critical infrastructure in one country, but also cause damage in other countries. This is a reality that makes it necessary to agree on intergovernmental national views on the composition of critical infrastructures, an assessment of their security and protection. The article presents an overview of views on critical infrastructures of the United States, the European Union, the United Kingdom, and the Russian Federation, the purpose of which is to develop common positions

We introduce (q1, q2)-quasimetric spaces and examine their properties. Covering mappings between (q1, q2)-quasimetric spaces are investigated. Sufficient conditions for the existence of a coincidence point of two mappings acting between (q1, q2)-quasimetric spaces such that one is a covering mapping and the other satisfies the Lipschitz condition are obtained.

The properties of (q1, q2)-quasimetric spaces are examined. Multivalued covering mappings between (q1, q2)-quasimetric spaces are investigated. Given two multivalued mappings between (q1, q2)-quasimetric spaces such that one of them is covering and the other satisfies the Lipschitz condition, sufficient conditions for these mappings to have a coincidence point are obtained. A theorem on the stability of coincidence points with respect to small perturbations in the considered mappings is proved.