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1967, Volume 177, Number 1  


50
9

MATHEMATICS
An example of a harmonic function which is bounded outside a solid of revolution and increasing inside it
I. S. Arshon, M. A. Pak
11
Algorithmic problems for certain classes of quasigroups
A. A. Gvaramiya, M. M. Glukhov
14
Representations of the group of quaternions over a disconnected locally compact continuous field
I. M. Gel'fand, M. I. Graev
17
Successive approximations for finding saddle points
V. F. Dem'yanov
21
On fundamental function systems of Laplace's operator in an arbitrary region and on asymptotic estimates of the fundamental numbers
V. A. Il'in
25
Certain relations between the properties of constructive functions and of operators from quasinumbers to quasinumbers
B. A. Kushner
29
Some theorems concerning the $\operatorname{Ind}$ dimension
I. K. Lifanov
33
A local relaxation theory for nonlinear equations
G. D. Maistrovskii
37
Inversion formulas for the fundamental integral representation of $p$-analytic functions of $z=x+iy$ with characteristic $p=x^k$
G. M. Polozhii
40
A general singular equation on an open contour, and a generalized Abel equation
S. G. Samko
44
Optimal search for a root of a function computable approximately
F. L. Chernous'ko
48

MECHANICS
On the construction of invariant information and measuring set-ups
B. N. Petrov, V. A. Viktorov, V. I. Mishenin
52

THEORY OF ELASTICITY
Contact problem of elastioplasticity for plates
L. A. Galin, G. P. Cherepanov
56
Metal fatigue
T. B. Larina
59

MATHEMATICAL PHYSICS
On Clebsch–Gordan coefficients of the symmetric representation of the $SU_n$ groups
S. I. Alishauskas, A. P. Yucis
61

PHYSICS
Holography without a reference beam
V. V. Aristov, V. L. Broude, L. V. Koval'skii, V. K. Polyanskii, V. B. Timofeev, V. Sh. Shechtman
65
Negative photomechanical effect in cadmium sulfide
V. A. Drozdov, L. A. Mozgovaya, A. L. Rvachev
68
Vacuum quantum fluctuations in curved space and the theory of gravitation
A. D. Sakharov
70
Fast electrons and X-ray radiation in the initial stage of impulse spark discharge development in the air
Yu. L. Stankevich, V. G. Kalinin
72
Gas-kinetic computation of the thermal gliding velocity of a gas in the vicinity of a solid surface
Yu. I. Yalamov, I. N. Ivchenko, B. V. Deryagin
74

GEOPHYSICS
Propagation speed of short-period earth's electromagnetic field oscillations of the type Pc-1 (“pearls”)
L. N. Baranskii, L. A. Geller, B. N. Kazak
85
Nutational migration of the Iceland minimum of atmospheric pressure
I. V. Maksimov, V. P. Karklin, È. I. Sarukhanyan, N. P. Smirnov
88

CRYSTALLOGRAPHY
The crystal structure of synthetic $\mathrm{Na},\mathrm{Zn}$-diorthosilicate $\mathrm{Na}_2\mathrm{Zn}_2[\mathrm{Si}_2\mathrm{O}_7]$
S. T. Amirov, A. V. Nikitin, V. V. Ilyukhin, N. V. Belov
92
 
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