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Dedicated to the 50th Anniversary Faculty of Mechanics and Mathematics, Moscow State University

	Поздравление А. Н. Колмогорова с 80-летием		3
Mathematics
	The Gross–Sazonov theorem for sign-variable cylindrical measures O. G. Smolyanov		4
	A free group of finite automata S. V. Aleshin		12
	The growth of the Lie algebra generated by two generic vector fields on the line A. A. Kirillov, M. L. Kontsevich		15
	Functional methods in the problem of computed tomography V. P. Palamodov		20
	Complete asymptotic expansion of a spectral function of elliptic operators in $R^n$ B. R. Vainberg		29
	On the complexity of approximate realization of analytic functions by schemes and formulas S. B. Gashkov		36
	Approximation by algebraic polynomials in an integral metric with Jacobi weight M. K. Potapov		43
	Averaging of eigenvalues and eigenfunctions of a boundary value problem of elasticity theory in a perforated domain G. A. Iosif'yan, O. A. Oleinik, A. S. Shamaev		53
	A sufficient condition for algebraic independence of numbers Yu. V. Nesterenko		63
Mechanics
	Some invariant transformations of kinetic equations A. I. Bunimovich, A. V. Krasnoslobodtsev		69
	On the construction of thermodynamic functionals M. R. Korotkina		72
	Numerical solution of problems of the mechanics of a deformable solid inhomogeneous body B. E. Pobedrya		78
	Geometric formalism of classical dynamics. Canonical primitives Ya. V. Tatarinov		85
	Flight simulation for an inertial navigation system V. V. Aleksandrov		95
	Wave motion of a three component medium under a load running along a plane boundary Kh. A. Rakhmatulin, A. K. Dzhashakueva		100
	Относительное и абсолютное движения в классической механике (А. Ю. Ишлинский “Механика относительного движения и силы инерции.”– М.: Наука, 1981. – 191 с.) A. A. Il'yushin		104
	Aleksandr Yul'evich Ishlinskii (on his seventieth birthday)		107