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1957, Volume 112, Number 5  


MATHEMATICS
The use of Chaplygin's method in solving the characteristic problem of Cauchy for a second order partial differential equation of the hyperbolic type
G. A. Artemov
791
Some boundary problems for mixed type of equation in a strip and a half-plane
N. I. Bakievich
793
An expansion in eigenfunctions of a system of second order differential equations
Z. I. Biglov
797
The inverse of a problem for systems of linear differential equations involving a parameter
M. S. Brodskii
800
On the metric dimension of point sets
VL. I. Egorov
804
On the differentiability of solutions of elliptical differential equations
A. I. Koshelev
806
The geometric properties of solutions of non-linear systems of partial differential equations
M. A. Lavrent'ev, B. V. Shabat
810
On functions continuous in each variable
S. Marcus
812
Extrapolation of homogeneous random fields and the quantity of information on a gaussian random field contained in another gaussian random field
M. S. Pinsker
815
On a class of operators which depend nonlinearly on a parameter
D. F. Kharazov
819

THEORY OF ELASTICITY
A die lying on elastic semispace whose modulus of elasticity is a power function of the depth
B. G. Korenev
823

PHYSICS
Theory of magnetostriction of nickel single crystals
W. F. Brown (jr.)
827
On the note of W. F. Brown, jr. Theory of magnetostriction of nickel single crystals
N. S. Akulov
828
The invariance principle for a homogeneous medium of arbitrary shape
B. B. Kadomtsev
831
Depolarization and intensities in the Raman spectra of benzene and hexadeuterobenzene
M. A. Kovner, B. N. Snegirev
835
Universal relation between the absorption spectra and luminescence spectra of complex molecules
B. I. Stepanov
839
Time correlations in classical statistical systems consisting of a large number of interaction particles
V. V. Tolmachev
842

GEOPHYSICS
On the geographic distribution of magnetic disturbances in the Antarctic
A. P. Nikol'skii
846
On paleomagnetism as a basis for a new method of correlation and differentiation of sedimentary rocks
A. N. Khramov
849

CRYSTALLOGRAPHY
X-Ray study of $\mathrm{TiSi}$ and $\mathrm{TiGe}$
N. Ageev, V. Samsonov
853

CHEMISTRY
The saponification and re-etherification of phosphorous acid esters
A. E. Arbuzov, M. G. Imaev
856
The polymerization of styrene under the influence of diazoaminocompounds and activators
P. A. Vinogradov
860
An investigation of the rôle of plane chains in the production of hydrocarbons from $\mathrm{CO}$ and $\mathrm{H}_2$
O. A. Golovina, E. S. Dokukina, S. Z. Roginskii, M. M. Sakharov, Ya. T. Eidus
864
The addition of trialkylphosphites to $\alpha$, $\beta$-unsaturated aldehydes
Gilm Kamai, V. A. Kukhtin
868
On sulfonation in the aromatic series
V. O. Lukashevich
872
The alkylation of benzene by propylene in the presence of various phosphoric acids containing fluorine and boron fluoride
A. V. Topchiev, V. N. Andronov
876
The production of $p$-xylylene diamine by a catalytic reduction of terephthalic dinitrile
L. Kh. Freidlin, A. A. Balandin, T. A. Sladkova
880

PHYSICAL CHEMISTRY
Measurement of saturated vapour pressure of solid bismuth by the isotopic exchange method
An. N. Nesmeyanov, B. Z. Iofa, B. V. Karasev
882
Influence of $\gamma$-rays on the oxidation of cetane
M. A. Proskurnin, Yu. L. Khmel'nitskii, E. V. Barelko, A. T. Slepneva, I. I. Melekhonova
886
The infrared spectra of some secondary aromatic amines
M. A. Salimov, V. M. Tatevskii
890
The influence of an external electric field on chemical reaction in gas
B. Timan
894
 
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