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1968, Volume 179, Number 3  


MATHEMATICS
The existence of the Brown–McCoy radical in Lie algebras
V. A. Andrunakievich, Yu. M. Ryabukhin
503
Certain linear polynomial operations in a complex region
D. L. Berman
507
The absence of an unconditional basis in the factor spaces $L'_1/H_0^1$ and $L'/H'_0$
B. M. Bychkov, V. M. Grober
511
A certain general quadrature process and its application to the approximate solution of singular integral equations
B. G. Gabdulkhaev
515
Expansion in terms of the solutions of a scattering theory problem for the nonselfadjoint Schrödinger equation
M. G. Gasymov
518
Complexes of $k$-dimensional planes in the space $C^n$ and Plancherel's formula for the group $GL(n,C)$
I. M. Gel'fand, M. I. Graev
522
The law of distribution of the number of runs in a homogeneous Markov chain
V. K. Zakharov, O. V. Sarmanov
526
$G$-composedness and $G$-complementability
V. B. Zylev
529
The Ljapunov–Gjunter theorems for special thermal potentials
L. I. Kamynin
531
Infinite dimensional simple graded Lie algebras
I. L. Kantor
534
A criterion for the stability of the probable spectrum of linear systems of differential equations with recurrent coefficients and a criterion for the almost reducibility of systems with almost periodic coefficients
V. M. Millionshchikov
538
Weighted cubature formulas
V. I. Polovinkin
542
Extensions of modules
B. M. Rudyk
545
The choice of iteration parameters in the method of variable directions for a Dirichlet difference problem of a higher order of accuracy
A. A. Samarskii
548

THEORY OF ELASTICITY
Accuracy of Кirchhoff–Love's hypothesis when determining critical forces in the theory of elastic stability
A. N. Guz
552

ASTRONOMY
Determination of the luminosity function and stellar density in the neighbourhood of the Sun
M. A. Arakelyan
555

PHYSICS
One-mode open cavities
V. P. Maslov, E. M. Vorob'ev
558
Polarized radiation induced by the generation of organic dye solutions
A. N. Sevchenko, A. A. Kovalev, V. A. Pilipovich, Yu. V. Razvin
562
Investigation of the ruby maser with optical pumping
G. M. Khaplanov
566

GEOPHYSICS
Abyssal bottom currents in the Black Sea
Yu. G. Pyrkin, A. A. Pivovarov, G. G. Khunjua
585

Поправки к статье “Вариационный принцип динамики линейной теории упругости” (ДАН, т. 172, № 2, 1967 г.)
L. Ya. Ainola
 
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