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1961, Volume 136, Number 1  


MATHEMATICS
Condition for the expansion of functions into a quasipower series within the fundamental interval
G. V. Badalyan
9
A basis in the space of abstract functions
L. A. Gurevich
12
The Cauchy problem for quasilinear systems
V. F. Dyachenko
16
Imbedding into $E^4$ of some monotonic images of $E^3$
L. V. Keldysh
18
A modification of the iterative method with minimal residuals for the solution of non-linear operator equations
L. A. Kivistik
22
Certain algorithms for the solution of the complete problem of eigenvalues
V. N. Kublanovskaya
26
Frommer's generalized method
I. S. Kukles, A. M. Suyarshaev
29
The solution of simultaneous difference equations
V. V. Rusanov
33
Partially ordered topological groups
S. N. Slugin
36
The maximum principle in the theory of optimal processes involving delay
G. L. Kharatishvili
39
Homotopic duality for spaces with a group of operators
A. S. Schwarz
43

FLUID MECHANICS
On statistical dynamics of an incompressible turbulent fluid
B. I. Davydov
47
On the theory of free finite oscillations of a surface separating two unbounded heavy liquids of different densities
Ya. I. Sekerzh-Zen'kovich
51

PHYSICS
Cross-section for the $(n,2n)$ reaction on $\mathrm{C}^{12}$, $\mathrm{N}^{14}$, $\mathrm{O}^{16}$ and $\mathrm{F}^{19}$ in the 10–37 MeV energy range
O. D. Brill', N. A. Vlasov, S. P. Kalinin, L. S. Sokolov
55
The dependence of the magnetic screening of $\mathrm{F}^{19}$ nuclei on concentration in the $\mathrm{KHF}_2$$\mathrm{H}_2\mathrm{O}$ and $\mathrm{KHF}_2$$\mathrm{KF}$$\mathrm{H}_2\mathrm{O}$ systems
F. I. Skripov, Wang Yi-chiu
58
On the blue colour of apatites
V. M. Vinokurov, M. M. Zaripov
61
Effect of temperature on the-angular correlation of $\gamma$-quanta arising on the annihilation of positrons and electrons in bismuth
I. Ya. Dekhtyar, V. S. Mikhalenkov
63
On the theory of Mossbauer's effect
I. P. Dzyub, A. F. Lubchenko
66
On the theory of discrete space-time
V. G. Kadyshevskii
70

GEOPHYSICS
New data on the Tungus catastrophe of 1908
A. V. Zolotov
84

CHEMISTRY
Triethyl-lead oxide
Yu. A. Aleksandrov, T. G. Brilkina, V. A. Shushunov
89
Exchange of ethyl radicals in the $\mathrm{Al}(\mathrm{C}_2\mathrm{H}_5)_3$$\overset{*}{\mathrm C}_2\mathrm{H}_5\mathrm{Br}$ system
A. P. Batalov, I. A. Korshunov
93
Silane derivatives with hydrocarbon bridges between silicon atoms. On the polymerization of 1,1-dimethylsiliea-cyclopentane
V. M. Vdovin, K. S. Pushchevaya, N. A. Belikova, R. Sultanov, A. F. Plate, A. D. Petrov
96
An investigation of the equilibrium of phases in the $\mathrm{Ti}_3\mathrm{Sn}$$\mathrm{Zr}$ system
V. V. Glazova, N. N. Kurnakov
100
Binary systems of two-ring molecules involving thionaphthene
V. M. Kravchenko, I. S. Pastukhova
104
Diethyl-$\mathrm{Se}$-chloroselenophosphates
Yan Mikhalskii, Anna Markovskaya
108
The synthesis of complex fluorides of hexavalent rhenium
N. S. Nikolaev, E. G. Ippolitov
111
Stability of chloride acido-complexes in fourth-period elements
I. K. Tsitovich
114

PHYSICAL CHEMISTRY
Radical polymerization as a chain process brought about by means of an exciton
È. I. Adirovich
117
Formation of aerosols in the radiolysis of gaseous hydrocarbons
V. S. Bogdanov
121
The polymerization of ethylene on a chromium oxide catalyst, as affected by the water and oxygen
G. K. Boreskov, V. A. Dzis'ko, T. Ya. Tyulikova
125
Infrared absorption spectra of organometallic compounds in the ethylene series. Cis-, trans-configuration of propylene-antimony compounds ($\mathrm{Sb}^{\mathrm{III}}$ and $\mathrm{Sb}^{\mathrm{V}}$)
A. E. Borisov, N. V. Novikova, N. A. Chumaevskii
129
An investigation of the fine structure of the x-ray absorption $K$-edges for manganese in $\mathrm{MnTe}$ within the range of antiferromagnetic transformation temperatures
È. E. Vainstein, B. I. Kotlyar, R. M. Ovrutskaya
133
A contribution to the mathematical theory of the steady rate of burning of a condensed substance
V. N. Vilyunov
136
On the nature of the conductivity of alkali free barium-silicate glass
K. K. Evstrop'ev, V. A. Kharyuzov
140
Radiation oxidation of benzene in aqueous solution investigated with the aid of labeled atoms
L. I. Kartasheva, Z. S. Bulanovskaya, E. V. Barelko, Ya. M. Varshavskii, M. A. Proskurnin
143
The $\gamma$-radiolysis on $n$-heptane adsorbed on oxide catalysts
Yu. A. Kolbanovskii, L. S. Polak, È. B. Schlichter
147
The properties of carboxyl cationite, as influenced by an organic solvent
Lou Chi-syan, E. M. Savitskaya, B. P. Bruns
151
Two types of elementary reaction in catalytic hydrogenation of olefines
R. E. Mardaleishvili, A. G. Popov, V. V. Nikisha, F. S. Yakushin
155
 
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