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1967, Volume 172, Number 5  


MATHEMATICS
Density hypothesis of E. Bombieri
M. B. Barban
999
Solvability or unsolvability of certain formally-logical calculi
I. L. Bondi
1001
Periodic solutions of certain non-linear differential equations
E. D. Garber
1003
Dual problems of convex and fractionally-convex programming in function spaces
E. G. Gol'shtein
1007
Arithmetic sums of recursively-projective sets
N. M. Ermolaeva
1011
Algebras with division over the field of real numbers
E. N. Kuz'min
1014
Banach lattices of Calderón
G. Ya. Lozanovskii
1018
Motions close to a doubly asymptotic motion
Yu. I. Neimark
1021
Solvability conditions for a class of pseudo-differential equations
B. P. Paneah
1025
On the growth of the function $\Phi(r_1,…,r_n)$, convex with respect to $\ln r_1,…,\ln r_n$
L. I. Ronkin
1028
Topological properties of partially ordered dynamical systems
A. M. Stakhy
1032
Metric automorphisms with a simple spectrum
S. A. Yuzvinskii
1036

CYBERNETICS AND THE REGULATION THEORY
Optimal training algorithms for automatic systems with nonideal trainers
V. S. Pugachev
1039

THEORY OF ELASTICITY
Unsteady vibrations of a free sandwich strip
A. I. Smirnov
1043

ASTRONOMY
Electron temperature in stellar shells containing high energy electrons
G. A. Gurzadyan
1046
The parameters of the Tungus outer space body as estimated on new evidence
A. V. Zolotov
1049

PHYSICS
The dispersion of elastic oscillations in the crystal lattice of potassium chloride, iais determined from the diffusive X-ray scattering
V. I. Startsev, I. S. Braude
1053
On the relative role of direct and indirect transitions in optical absorption
V. B. Tulvinskii, Yu. A. Shuba
1057
Non-exponential law of decay, and interference experiments
L. A. Khalfin
1059
Gallium glass investigated by means of electron-spin resonance
D. M. Yudin, A. I. Sherstyuk, T. S. Tsekhomskaya
1063

CRYSTALLOGRAPHY
Long range effect of active centres at crystal surfaces
G. I. Distler, S. A. Kobzareva
1069
The electrolysis of synthetic quartz containing a structureless impurity
V. G. Lushnikov, V. E. Khadzhi
1072
 
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