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1978, Volume 238, Number 5  


MATHEMATICS
On a case in the theory of $\varepsilon$-invariance of differential equations
B. V. Aleshin, P. I. Kuznetsov
1017
On a problem of Gauss
K. I. Babenko
1021
On the functional law of the iterated logarithm
A. V. Bulinski
1025
A spectral sequence associated with a nonlinear differential equation, and algebro-geometric foundations of Lagrangian field theory with constraints
A. M. Vinogradov
1028
Analogs of the Euler–Lagrange equations and magnetohydrodynamics connected with Lie groups
S. M. Vishik, F. V. Dolzhanskii
1032
A rapidly converging method of quadratures for solving Laplace's equation on polygons
E. A. Volkov
1036
Metric completion of a domain by using a conformal capacity invariant under quasi-conformal mappings
V. M. Gol'dstein, S. K. Vodop'yanov
1040
A converse to Meier's theorem on meromorphic functions
A.N. Kanatnikov
1043
An algorithm-theoretic method of studying homogeneous random media
G. L. Kurdyumov
1047
Filtering with colored noise in the observations
I. I. Lyashko, V. P. Didenko, O. E. Tsitritskii
1051
On sequentially $H$-closed spaces
S. G. Ovsepyan
1055
On the use of the general operational calculus in the theory of boundary value problems
V. K. Romanko
1059
The investigation of piecewise monotone transformations of an interval by the methods of symbolic dynamics
A. A. Simonov
1063
On the Noether theory of singular operators of general form
A. P. Soldatov
1067

MECHANICS
Pliability of the manipulator
A. A. Kobrinskii
1071

AERODYNAMICS
The solubility of the problem of the dynamics of a solid body with a cavity containing a viscous liquid
I. G. Zagnibeda
1075

ASTRONOMY
Investigation of regolith delivered by the automatic lunar station “Luna-20” using the method of X-ray photoelectron spectroscopy
V. V. Nemoshkalenko, V. G. Aleshin, Yu. P. Dikov, O. A. Bogatikov, V. L. Barsukov, A. V. Ivanov, E. P. Moiseenko
1079

GEOPHYSICS
Small-parameter method in the hydrodynamic model of the Earth evolution
V. P. Myasnikov, V. D. Savushkin
1083
Size and age distribution of the Earth cosmogenic structures
V. V. Fedynskii, A. I. Dabizha, I. T. Zotkin
1087

CRYSTALLOGRAPHY
Distribution of $\mathrm{Sn}$, $\mathrm{Fe}^{3+}$, $\mathrm{Fe}^{2+}$, $\mathrm{Mg}$ cations in crystal structure of hulsite
N. A. Yamnova, M. A. Simonov, N. V. Belov
1094
 
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