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1984, Volume 277, Number 5  


MATHEMATICS
Lebesgue constants and approximation of functions by Fourier and Fejér sums
S. P. Baiborodov
1033
A proof of Baker's conjecture in the metric theory of transcendental numbers
V. I. Bernik
1036
Explicit solution and existence of a limit amplitude for a problem of dynamics of a stratified fluid
S. A. Gabov
1039
On the accuracy of a solution to an ill-posed problem with a finite level of errors
Yu. L. Gaponenko
1044
The widths of a Euclidean ball
A. Yu. Garnaev, E. D. Gluskin
1048
Almost-injective mappings and hash functions
R. E. Krichevskii
1053
Behavior of a certain class of mappings, quasiconformal in the mean, at an isolated singular point
V. S. Kud'yavin
1056
Control of the stability of explicit one-step methods of integration of ordinary differential equations
V. A. Novikov, E. A. Novikov
1058
Solution of a linear differential game of pursuit without discrimination of the evading object
L. S. Pontryagin, A. S. Mishchenko
1063
Coding of combinatorial sources and Hausdorff dimension
B. Ya. Ryabko
1066
An analogue of the Moisil–Theodoresco system
D. Kh. Safarov
1070
Classes of periodic functions and the approximation of their elements by Fourier sums
A. I. Stepanets
1074
Estimation of rational trigonometric sums along a curve
S. A. Stepanov
1077
Criteria for representability of integrals over cycles by Grothendieck residues
A. K. Tsikh
1083

CYBERNETICS AND THE REGULATION THEORY
Optimal control of nonlinear systems with distributed parameters
K. S. Kolesnikov, A. P. Krishchenko
1088
Optimal adaptive control systems
Ya. Z. Tsypkin
1092

GEOPHYSICS
Turbulent mixing in a stratified shear layer
G. G. Sutyrin
1097

MATHEMATICAL PHYSICS
Investigation of boundary value problems of flow around an obstacle of a stratified layered fluid
K. A. Bezhanov, A. M. Ter-Krikorov
1102
The continuous spectrum in some problems of mathematical physics
A. E. Lifshits
1105

PHYSICS
On the peculiarities of physical properties of liquid metals near the critical temperature
B. R. Gel'chinskiy, N. A. Vatolin
1109
Generalization of spherical drop evaporation theory in the diffusion regime
I. N. Ivchenko, V. A. Nikishkin
1111
On the stochasticity of inhomogeneous states of active media with diffusion
B. S. Kerner, E. M. Kuznetsova, V. V. Osipov
1114
Two-parametric system of equations for MHD equilibrium
A. I. Morozov, T. F. Volkov
1119

CRYSTALLOGRAPHY
Crystall structure of a free radical of $3,4$-dmydro-$2,4,6$,-tri(pentafIuorophenyl)-symm-tetrazin-$1(2\mathrm{H})$-yl
A. A. Dvorkin, O. M. Polumbrik, I. G. Ryabokon, Yu. A. Simonov, T. I. Malinovskii
1134
 
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