In the annex to development of simulators of dynamics of flight as a part of training complexes for training of operators of transport airplanes are considered methods of approximation of functions of many variables by polynomials of high degrees. Are given examples of approximation of aerodynamic coefficients as functions of two variables by asymptotic polynomials of a special form. The method of approximation of the function of three variables set on a parallelepiped is given. The proposed approach has been successfully used in the mathematical modeling of kinetic processes of formation of physical and mechanical properties of composite materials and analytical description of the quality criteria.

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