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1957, Volume 114, Number 1  


MATHEMATICS
Covering of areas for functions regular within a ring
G. K. Antonyuk
9
The stability of the solutions of periodical systems of total differential equations
V. G. Egorov
11
A solution of a mixed problem by the Fourier method for a certain integro-differential equation
Yu. F. Korobeinik
14
On the solution of the oscillation equation over the entire time axis
S. N. Levina
18
On the composition of Gauss and Poisson probability laws
Yu. V. Linnik
21
The distribution of integer points on a four-dimensional sphere
A. V. Malyshev
25
On the number of limit cycles of equation $\frac{dy}{dx}=\frac{cx+dy+P(x,y)}{ax+by+Q(x,y)}$ where $P(x,y)$ and $Q(x,y)$ are homogeneous polynomials of degree $n$
B. M. Peretyagin
29

MECHANICS
An electric method of determining tangential reactions on the lateral surface of a loaded pile frozen into the ground
K. E. Egerev
33

THEORY OF ELASTICITY
The bending of a prismatic rod weakened by a circular cavity
Yu. A. Amenzade
37
On the first boundary problem of the non-linear theory of elasticity
S. G. Petrova
41
On certain overall characteristics of the stressed state when prismatic rods are acted upon by a bending force
G. M. Polozhii
45
On the problem of elastic equilibrium of rotational bodies
K. V. Solyanik-Krassa
49

PHYSICS
The influence of the chemical bond on the fine structure of the X-ray emission lines of the $K\beta$ group of titanium in certain compounds
È. E. Vainstein, Yu. N. Vasil'ev
53
On the computation of the photoelastic coefficient for polymeres
Yu. Ya. Gotlib
57
Shift of energy levels of a particle with spin $1/2$ in a Coulomb field
G. A. Zaitsev
61
The dependence of the $g$ factor and relaxation time on temperature in the ferromagnetic resonance for certain ferrites
A. P. Komar, N. I. Krivko
64
On the relation between the electric properties of crystals and the crystal lattice constants
V. A. Presnov, V. I. Gaman
67
Calculation of the anisotropy in the diamagnetic susceptibility of aromatic molecules by means of the free electron model
T. K. Rebane
70
The influence of gravity on the propagation of light
G. V. Skrotsky
73

CHEMISTRY
A thermographic study of A. E. Arbuzov's regrouping
B. A. Arbuzov, A. V. Fushenkova
89
Isomeric silapentanes and new methods of their production
S. N. Borisov, M. G. Voronkov, B. N. Dolgov
93
The influence of sulphur on the solubility of oxygen in liquid iron
Z. Buzhek, A. Samarin
97
Complex compounds of bivalent platinum with $\varepsilon$-aminocaproic acid
L. M. Volstein, M. F. Mogilevkina
99
Transformations of $\beta$-chlorethers in the presence of metals
V. I. Isagulyants, I. S. Maksimova
102
The metallochemical table of chemical elements
I. I. Kornilov
106
Synthesis of organotin compounds by way of double iodonium salts
O. A. Ptitsyna, O. A. Reutov, M. F. Turchinskii
110
Production of crystalline polypropylene by the polymertizaion of propylene on an organometallic catalyst
A. V. Topchiev, B. A. Krentsel', I. M. Tolchinskii, G. V. Garnishevskaya
113
Some derivatives of diphenyl and their tuberculostatic activity
L. F. Trefilova, I. Ya. Postovskii
116
On the structure of benzohydroxamic acids and some of their derivatives
E. M. Usova, E. M. Voroshin
120
Exchange of sulphate ions in water solutions of trivalent cobalt acidoammines
Ya. A. Fialkov, V. D. Panasyuk
124
The interaction of ethylene oxide with silicon tetrachloride and ethyltrichlorosilane
M. F. Shostakovskii, S. P. Lavrov
128

PHYSICAL CHEMISTRY
An investigation of adsorption at high pressure
B. N. Vasil'ev, B. P. Bering, M. M. Dubinin, V. V. Serpinskii
131
Kinetic relations in the case of hot-surface ignition within an engine
A. N. Voinov
135
An investigation of thehumic acid structure in fossil coals
V. I. Kasatochkin, N. K. Larina
139
Effect of radiation on the electrochemical activity of zirconium
I. L. Rozenfel'd, E. K. Oshe
143
Properties of graphite filled plastics and the effect of high filling
B. L. Tsetlin, L. P. Yanova, G. K. Sibirskaya, P. A. Rebinder
146
 
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