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1970, Volume 192, Number 5  


MATHEMATICS
The approximation of extremal problems
B. M. Budak, E. M. Berkovich
959
Shift entropy and Markov measures in the space of paths of a countable graph
B. M. Gurevich
963
Languages of limited active capacity
A. Ya. Dikovsky
966
On a Fredholm theory for nonlinear operator equations
R. I. Kachurovskii
969
A certain singular boundary value problem for an ordinary differential equation of order $n$
I. T. Kiguradze
973
On the problem of an asymptotic formula for the number of solutions of a congruence of Waring type
B. G. Kotsarev
976
The Hadamard correctness of the Cauchy problem for an evolution equation
S. G. Krein, G. I. Laptev, G. A. Tsvetkova
980
Functionals that are positive linear in the sense of Minkowski over convex surfaces
S. S. Kutateladze
984
Some theorems on the asymptotic distribution of the $\chi^2$ statistic
Yu. I. Medvedev
987
Potential theory for Lyapunov–Dini domains
E. I. Moiseev
990
An estimate of the nearness of functions of bounded variation in terms of the nearness of their Fourier–Stieltjes transforms
V. V. Petrov
993
Estimates of the solution of a boundary value problem with a complex parameter for a second order elliptic system
M. L. Rasulov
995
The stability of triple-layer difference schemes
A. A. Samarskii
998

CYBERNETICS AND THE REGULATION THEORY
Problems of discrete optimization
V. A. Emelichev
1002

MECHANICS
On the oscillations of systems which are nearly essentially nonlinear
Nguyên van Dao
1004

MATHEMATICAL PHYSICS
A method for solving mathematical physics problems
Ya. N. Fel'd
1007

PHYSICS
The optron with a direct optical coupling as quadripole
È. I. Adirovich, D. A. Aronov, N. Yunusov
1011
Electric conductivity of man-made semiconductor diamond
L. F. Vereshchagin, O. G. Revin, V. N. Slesarev, I. N. Seifi-Khusainov, A. S. Chmykhov
1015

GEOPHYSICS
On the possibility of evaluation of earthquake focus extent based on kinematic data
I. V. Gorbunova, N. V. Kondorskaya
1033

CRYSTALLOGRAPHY
Crystalline structure of $\mathrm{BaTm}_2\mathrm{F}_8$
O. E. Izotova, V. B. Aleksandrov
1037
On the growth of hexagonal prism faces in quartz crystals
V. T. Ushakovskii, L. N. Chernyi, P. I. Nikitichev
1040
 
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