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1958, Volume 121, Number 1  


MATHEMATICS
Expansion theorems connected with boundary problems for equation $u_{xx}-K(x)u_{tt}=0$ within the strip $0\le x\le1$ with degeneration or singularity at the boundary
R. G. Barantsev
9
Some problems concerned with large deviations of the maximum of sums of independent equally distributed random variables
A. A. Borovkov
13
On areal measure in quasiconformal mapping
P. P. Belinskii
16
On the orthogonal subgroups of classical compact Lie groups
A. M. Vasil'ev
18
Oscillation equations with slowly variable parameters
V. M. Volosov
22
The asymptotic behaviour of a solution of difference equations
M. A. Evgrafov
26
On the expansion in characteristic vector-functions of non-selfadjoint second order differential systems
V. M. Kabanova
30
On an “exact estimate” of the multipliers of second order differential equations with periodical coefficients
T. M. Karaseva
34
The asymptotic solutions of the equations of motion for a dissipative system with one degree of freedom and slowly variable parameters
G. E. Kuzmak
37
Hypersurface in the space of projective connection
G. F. Laptev
41
Polyhedral spectra and the dimensionalities of bicompacts, especially of bicompact groups
B. Pasynkov
45
The extrapolation of random vector processes and the quantity of information contained in a stationary random vector process relative to another one stationarily connected with it
M. S. Pinsker
49
Maximum correlation coefficient (non-symmetrical case)
O. V. Sarmanov
52
Nomographic methods for an approximate representation of a function of one variable
G. S. Khovanskii
56

FLUID MECHANICS
Displacement of a two-component mixture in the case when the viscosity of one of the components is low
D. A. Efros
59

MATHEMATICAL PHYSICS
On the relation between $S$-matrix and potential for the one-dimensional Schrödinger operator
L. D. Faddeev
63

PHYSICS
Phase transformations when water is compressed by strong shock waves
L. V. Al'tshuler, A. A. Bakanova, R. F. Trunin
67
A simultaneous observation of Raman effect and fluorescence
P. P. Shorygin, T. M. Ivanova
70

ELECTRICAL ENGINEERING
A probability investigation of a two-stage busy signal telephone system with random hunting
G. P. Basharin
101

CHEMISTRY
On the reduction of the $\Delta^3$-carene oxide
B. A. Arbuzov, Z. G. Isaeva
105
The interaction of hydrocarbon autooxidation inhibitors with alkyl and peroxy radicals
K. I. Ivanov, E. D. Vilianskaya
107
Absorption spectra of molecular complexes formed by 9-($p$-dimethylaminostyryl)-acridine and 10-ethyl-9($\beta$-carbometoxyethyl)- acridine iodide
V. A. Izmailsky, L. D. Vishnevskii
111
A triclinic modification of polythene
A. I. Kitaigorodskii, Yu. V. Mnyukh
115
The synthesis of methyl ferrocene
A. N. Nesmeyanov, È. G. Perevalova, L. S. Shilovtseva, Z. A. Beinoravichute
117
The synthesis of silicon containing simple vinyl ethers
A. D. Petrov, S. I. Sadykh-zade
119

PHYSICAL CHEMISTRY
A spectral study of the interaction of two dyes in solution
Kh. L. Arvan
123
The electrochemical behaviour of zirconium in sulphuric acid
N. A. Balashova, B. N. Kabanov
126
Adsorption of $\mathrm{Cs}^+$ ions on mercury electrode surface
B. B. Damaskin, N. V. Nikolaeva-Fedorovich, A. N. Frumkin
129
The photographic activity of gelatin
A. L. Karpova, A. A. Mikhailova, K. V. Chibisov
133
Water wetting heats of etherificated cellulose
E. F. Nekryach, A. V. Dumanskii
136
 
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