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1971, Volume 196, Number 5  


MATHEMATICS
A generalization of Stein's admissibility theorem
R. Sh. Aleiner
999
A projection method for solving singular integral equations
I. Gohberg, E. M. Shpigel
1002
Iterations of operators, and fixed points
P. P. Zabreiko, M. A. Krasnosel'skii
1006
Determination of a fiducial distribution in terms of an invariant pivotal function
G. P. Klimov
1010
On the diameter of graphs
A. D. Korshunov
1013
Inverse problem of nonstationary scattering
L. P. Nizhnik
1016
On probabilities of large deviations for sums of independent random variables
L. V. Osipov
1020
On the descriptive theory of sets in topological spaces
I. I. Parovichenko
1024
Normal solvability of an abstract nonlinear problem. Applications to the solution of boundary value problems for partial differential equations
V. R. Portnov
1028
On a singular Cauchy problem
S. A. Tersenov
1032

CYBERNETICS AND THE REGULATION THEORY
The algorithmic unsolvability of the problem of finding the asymptotic behavior of the Shannon function in the realization of boundedly deterministic operators using networks in an arbitrary basis
V. A. Orlov
1036

MECHANICS
An oscillation theorem in the theory of vibrations of thin shells of revolution
A. G. Aslanyan, V. B. Lidskii
1040

AERODYNAMICS
Conservation of a generalized circulation of velocity in stationary flows of an ideal gas
A. I. Golubinskii
1043

FLUID MECHANICS
Spectral density of friction pulsations in a turbulent wall flow
S. S. Kutateladze, V. E. Nakoryakov, A. P. Burdukov, A. I. Guvakov
1046
Stability of plane-parallel Couette flow
V. A. Romanov
1049

THEORY OF ELASTICITY
Dispersions of elastic structural deformations of polycrystalline metals of first periodic group
A. A. Vainshtein, D. M. Mekhontseva
1052

CRYSTALLOGRAPHY
Synthesis of projecting functions
B. K. Vaĭnshteĭn
1072
Crystalline structure of scandium and sodium tetracarbonate dehydrate, $\mathrm{Na}_5[\mathrm{Sc}(\mathrm{CO}_3)_4]\cdot2\mathrm{H}_2\mathrm{O}$
T. A. Zhdanova, A. A. Voronkov, L. N. Komissarova, Yu. A. Pyatenko
1076
On some regularities of maximuma location on separation functions in the presence of multiple peaks in vector system (general case Fedorov's $P1$ groups)
È. A. Kuz'min, V. V. Ilyukhin, N. V. Belov
1080
 
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