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1981, Volume 257, Number 5  


MATHEMATICS
Numerical ranges, zones, and spectra of families of selfadjoint operators
Yu. Sh. Abramov
1033
Characters and factor representations of the infinite symmetric group
A. M. Vershik, S. V. Kerov
1037
An analogue of the Bruhat decomposition for the closure of the cone of a Chevalley group of the classical series
D. Yu. Grigor'ev
1040
Relative cohomology and deformations of Lie algebras of Cartan type
A. S. Dzhumadil'daev
1044
On probabilities of large deviations for maximum likelihood estimators
I. A. Ibragimov, M. E. Radavicius
1048
The existence of a convex surface with given integral curvature in elliptic space and the solvability of Monge–Ampère equations
G. Ya. Kaplunovich
1052
On some questions in the theory of varieties of groups
Yu. G. Kleiman
1056
Relations between the moduli of continuity of functions in different symmetric spaces, and some imbedding theorems
S. V. Lapin
1060
Representation of numbers as a sum of four squares of integers, two of which are prime
V. A. Plaksin
1064
On minimal metrics in a space of real-valued random variables
S. Rachev
1067
The Fredholm property of a boundary value problem, with an operator in the boundary conditions, for an elliptic differential operator equation of second order
S. Ya. Yakubov, B. A. Aliev
1071

MECHANICS
A problem of L. Prandtl and the theory of flow of a plastic material over surfaces
S. S. Grigoryan
1075
On a class of ideal-plasticity problems with inhomogeneous kinematic boundary conditions (limit-load case)
Ya. A. Kamenyarzh
1077

FLUID MECHANICS
On the possibility of the cerebral blood flow recovery at circulatory cerebral ischemia by the injection of special polymers in blood
I. V. Gannushkina, S. S. Grigoryan, M. V. Kameneva, A. A. Shakhnazarov
1080

GEOPHYSICS
Three-dimensional radiation and reflecting objects as determined from the wave field which is known on a two-dimensional aperture
A. S. Alekseev, S. P. Vinogradov, G. M. Tsybul'chik, V. A. Tcheverda
1086
First recording of tsunami in the ocean (tsunami of February 23, 1980 near the South Kuril Islands)
B. D. Dykhan, V. M. Zhak, E. A. Kulikov, S. S. Lappo, V. N. Mitrofanov, A. A. Poplavskii, A. V. Rodionov, S. L. Solov'ev, A. A. Shishkin
1088
Acoustic sounding of the atmospheric boundary layer
V. Y. Zuev, N. P. Krasnenko, V. A. Fedorov, M. G. Fursov
1092
On the problem of using the absolute temperatures of bottom deposits on the shelf for solving geological problems
V. V. Kalinin, A. V. Kalinin, V. E. Fadeev
1096

MATHEMATICAL PHYSICS
Tomographic methods of the investigation of short wave propagation around the Earth
P. E. Krasnushkin
1099
An equation for the radial distribution function
V. N. Ryzhov, E. E. Tareeva
1102
On the additional invariance of the equations of motion for vector fields
W. I. Fushchych, V. A. Vladimirov
1105

PHYSICS
Annealing of implanted layers of silicon by the pulsed $\mathrm{CO}_2$-laser radiation
M. F. Galyautdinov, Yu. K. Danileiko, M. M. Zaripov, A. A. Manenkov, A. V. Sidorin, I. B. Khaibullin, E. I. Shtyrkov
1110
On the role of dimensional factors in displacements of chemical equilibrium
N. S. Lidorenko, S. P. Chizhik, N. T. Gladkikh, L. K. Grigor'eva, P. N. Kuklin
1114
On the relation between the amplification coefficients of conjugated and nonconjugated waves at the stimulated light scattering
N. F. Pilipetskiĭ, V. I. Popovichev, V. V. Ragulsky
1116
Dielectric dispersion in liquid crystals with negative anisotropy
E. I. Ryumtsev, T. A. Rotinyan, A. P. Kovshik, S. G. Polushin, B. M. Bolotin, V. N. Tsvetkov
1121
On the possibility of non acoustic reflection of weak pressure waves in a boiling liquid
E. I. Timofeev, A. V. Gubanov, B. E. Gel'fand, S. A. Tsyganov, V. V. Stepanov
1125

CRYSTALLOGRAPHY
Refined crystal structure of leucosphenite
Yu. A. Malinovskii, N. A. Yamnova, N. V. Belov
1128
 
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