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1966, Volume 169, Number 5  


MATHEMATICS
Solutions in generalized functions for ordinary differential equations with polynomial coefficients
F. S. Aliev
991
Set-theoretic operations and recursive hierarchies
V. I. Amstislavskii
995
Asymptotic geodesics on a Riemannian manifold non-homeomorphic to a sphere
E. V. Gaidukov
999
Constructive characteristic of a certain class of nonperiodic functions
G. V. Zhidkov
1002
Sample mean as an estimate of the shift parameter
A. M. Kagan
1006
Geometric theory of the unitary equivalence of matrices
L. A. Kaluzhnin, H. M. Havidi
1009
On the rank of matrices with random Boolean elements
M. V. Kozlov
1013
Decomposition of multi-dimensional probabilistic laws
I. V. Ostrovskii
1017
A variational problem in Hilbert space and its applications to partial differential equations
Z. I. Khalilov, È. D. Aslanov
1020
Free polynilpotent groups
A. L. Shmel'kin
1024

MECHANICS
Detuning of vibration systems as a convex programming problem
I. M. Glazman, V. N. Mitin
1026

FLUID MECHANICS
Stability of the central position of a jounal in a hydrodynamic bearing
A. L. Krylov, V. G. Shuster
1030

THEORY OF ELASTICITY
Failure of highly strong glass
L. A. Galin, V. A. Ryabov, D. V. Fedoseev, G. P. Cherepanov
1034

MATHEMATICAL PHYSICS
The inverse scattering problem for a system of Dirac equations of order $2n$
M. G. Gasymov
1037

PHYSICS
Breakdown caused by a laser beam in hydrodynamic bearing
B. M. Ashkinadze, V. I. Vladimirov, V. A. Likhachev, S. M. Ryvkin, V. M. Salmanov, I. D. Yaroshetskiĭ
1041
Measurement of the penetrating radiation intensity at the Moon's surface
S. N. Vernov, P. V. Vakulov, E. V. Gorchakov, Yu. I. Logachev, G. P. Lyubimov, A. G. Nikolaev, N. V. Pereslegina
1044
Absorption coefficient of the $1s$-zone in single crystals, as dependent on the polarization and orientation of the radiation
L. K. Izraileva
1048
Images of transparent and refracting objects restored with the aid of phase holograms
A. P. Komar, M. V. Stabnikov, B. G. Turukhano
1052
Kinetic equations for superfluid Bose systems and their solutions in hydrodynamic approximation
Li Zheng-chung
1054
Jump on Fermi surface of the distribution function of electrons in momentum space as determined by means of two-quantum annihilation of positrons
V. L. Sedov
1058
The anharmonicity of molecular vibrations, estimated by successive approximations with the use of general formulae for transition frequencies
A. Ya. Tsaune, V. P. Morozov
1060
On the second sound in Bose's non-ideal gas
Yu. A. Tserkovnikov
1064

GEOPHYSICS
Earth's heat radiation scattered by aerosol layers
A. I. Lazarev, V. I. Timokhin
1068
Determination of the velocity field of a quasistationary flow in an ocean
K. A. Chekotillo
1071
 
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