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Natural Sciences Education Today and P. Chebyshev’s Scientific Heritage.Number theory and cryptography.Probability theory and statistical theory.Approximation theory.Computational mathematics.Differential equations (nonlinear dynamics, dynamic systems).Wave modeling.Software models and systems.Viscous fluid dynamics.Heat and mass transfer.Physicochemical fluid dynamics in multiphase media.Capillary flow thermohydrodynamics.Hydrodynamic simulation of oil & gas deposits.Simulation models and IT for the oil&gas industry.AI for decision making.Knowledge acquisition, representation, processing, and integration; knowledge bases.Predictive analysis of physical systems.AI for information search, processing, and analysis.