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1963, Volume 148, Number 1  


MATHEMATICS
Uniform distribution of points on a sphere and certain ergodic properties of solutions of linear ordinary differential equations in a complex domain
V. I. Arnol'd, A. L. Krylov
9
On absolute convergence of a power series in two variables
V. A. Belyaev
13
The cluster set of functions pseudo-analytic in the unit circle
V. I. Gavrilov
16
The continuous dependence on the initial data of the solution of the first boundary-value problem for a parabolic equation with negative time
R. Ya. Glagoleva
20
On the imbedding theorem of S. L. Sobolev for abstract functions
A. H. Gudiev
24
On the stability of certain numerical algorithms inverting regular difference equations
A. V. Ivanov
28
Homotopy properties of the group of diffeomorphisms of the sphere
S. P. Novikov
32
Infinite groups of mappings defined by differential equations
L. V. Ovsyannikov
36
Rings with injective cyclic modules
L. A. Skornyakov
40
A criterion for the solvability of the Dirichlet problem for elliptic equations
S. I. Khudyaev
44

CYBERNETICS AND THE REGULATION THEORY
On a class of Turing machines
N. V. Beljakin
47
Rectifier networks
É. I. Nechiporuk
50

MECHANICS
A contribution to the general theory of reduced velocities in tangential coordinates
D. Mangeron, E. Croitoru
54

FLUID MECHANICS
Dynamic explosion of equilibrium in certain ideal media when the temperature gradient is zero
N. N. Kochina
57
The motion of gas behind an unsymmetric piston
M. P. Mikhailova
61

THE MECHANICS OF CONTINUOUS MEDIUM
On theory of complex media
D. D. Ivlev
64

PHYSICS
A contribution to the theory of radiation formation of electron-positron pairs on a nucleus
N. F. Nelipa
68
X-ray determination of the diamagnetic susceptibility of certain ionic and semiconducting compounds
N. N. Sirota, N. M. Olekhnovich
71
Stability of stationary states of quantum generators
B. I. Stepanov
74

CHEMISTRY
Decay of solid solutions of niobium and and titanium in chromium
N. V. Ageev, M. S. Model
84
The state of water molecules in aqua compounds containing salts of certain elements
S. N. Andreev, T. G. Balicheva
86
An investigation of infrared spectra in polymorphous transformation of tristearin
L. B. Arutyunova, G. B. Ravich
89
The hydration kinetics of Portland clinker minerals in hydrothermal treatment
P. P. Budnikov, S. M. Royak, Yu. S. Malinin, M. M. Mayants
91
The dipole moments of the radical and of the molecule: diphenyl nitrogen oxide and diphenyl hydroxylamine
A. L. Buchachenko, E. N. Gur'yanova, L. A. Kalashnikova, M. B. Neiman
95
The kinetics of propyl gallate auto-oxidation in aqueous solution
L. S. Vartanyan, L. M. Strigun, N. M. Emanuel'
97
Joint action of radiation and oxide catalysts on the dehydrogenation of cyclohexane
V. I. Vladimirova, G. M. Zhabrova, B. M. Kadenatsi, V. B. Kazanskii, G. B. Pariiskii
101
The influence of a high pressure on the structural trend of tertiary butyl benzene phenylation
M. G. Gonikberg, N. I. Prokhorova, E. F. Litvin
105
Infrared-spectroscopy investigation of the mechanism underlying the formation of aqueous high molecular tungstates
V. Ya. Kabanov, Vikt. I. Spitsyn
109
Interaction of uranium oxides with vanadium and niobium
L. M. Kovba, Wang Shi-hua, E. I. Sirotkina
113
Production and properties of hexachlorocyclohexyl-chlorosilanes
G. V. Motsarev, A. Ya. Yakubovich, V. R. Rozenberg
116
Catalytic properties of organic polymers with a system of conjugate bonds. Formation of hydroperoxides by the oxidation of alkylaromatic hydrocarbons and of cyclohexane
S. Z. Roginskii, A. A. Berlin, L. N. Kutseva, R. M. Aseeva, L. G. Cherkashina, A. I. Sherle, N. G. Matveeva
118
The kinetics and mechanism of the initiation of ethylene polymerization on a soluble complex Zigler-type catalyst
L. P. Stepovik, A. K. Shilova, A. E. Shilov
122

PHYSICAL CHEMISTRY
Investigation of organotin compounds by the method of Messbauer resonance absorption of $\gamma$-quanta
A. Yu. Aleksandrov, N. N. Delyagin, K. P. Mitrofanov, L. S. Polak, V. S. Shpinel'
126
Mechanochemical transformations in macromolecules at $80^\circ$ K
P. Yu. Butyagin
129
Electric oxidation of formic acid and its salts on a rotating platinum electrode
Yu. B. Vasil'ev, V. S. Bagotskii
132
Autooscillation frequency in electrolytic systems
A. Ya. Gokhshtein
136
Radiation-chemical oxidation of potassium ferrocyanide in aqueous solutions
A. V. Egunov, P. I. Dolin
140
Calculation of single-separation coefficient for certain exchange reactions
E. M. Kuznetsova, Z. V. Gryaznova, G. M. Panchenkov
144
The role of the primary protective film in the process of oxidation of metals in aqueous solutions
L. Lepin', A. Lokenbakh
148
On the ionization of oxygen upon palladium
Yu. A. Mazitov, K. I. Rosental', V. I. Veselovsky
152
Regularities of transition from self-inflammation to ignition
A. G. Merzhanov, V. G. Abramov, V. T. Gontkovskaya
156
The surface properties of $\mathrm{CaF}_2$-based melts
Yu. P. Nikitin, V. G. Korpachev, A. N. Safronnikov
160
Two-dimensional pressure and the ability of lowering the evaporation of water from monomolecular layers in normal and secondary hexadecanol mixtures
A. A. Trapeznikov, V. A. Ogarev
162
 
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