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1957, Volume 114, Number 4  


MATHEMATICS
On functions of three variables
V. I. Arnol'd
679
Reduction to a single equation of an evolutional system of linear partial differential equations with constant coefficients
V. M. Borok
682
The relation of variation of a set to the metric properties of its complement
A. G. Vitushkin
686
On the solution of Laplace’s equation with axial symmetry by a difference method
D. F. Davidenko
690
The first boundary problem for an elliptical type of equations of order four, degenerating at the domain boundary
V. K. Zakharov
694
On the uniform convergence of expansions in characteristic functions when the sum is taken in the order of increasing characteristic numbers
V. A. Il'in
698
On surfaces $V_n$ with multidimensional isotropic conjugate directions in spaces $R_N$ or $S_N$
Ü. G. Lumiste
702
Multidimensional integrals and the Monte Carlo method
I. M. Sobol'
706
On simultaneous approximation in the mean of complex-valued functions given along several closed curves
G. Ts. Tumarkin
710
Exponents of elliptic curves
I. R. Shafarevich
714

FLUID MECHANICS
The spin detonation
B. V. Voitsekhovskii
717
Hypersonic flow past an aerofoil with a slightly blunted leading edge
G. G. Chorny
721

HYDRAULICS
Percolation in a rectangular cofferdam when the capillary rise is very high
G. K. Mikhailov
725

THEORY OF ELASTICITY
The solution of two-dimensional problems in the theory of elasticity by means of special functions
M. Z. Narodetskii
729
On a problem in the theory of elasticity with mixed homogeneous conditions
D. I. Sherman
733

MATHEMATICAL PHYSICS
The diffusion of the vortical layer and the exchange of heat
S. A. Regirer
737

PHYSICS
X-ray emission lines of the $K\beta$-group of titanium in carbides
È. E. Vainstein, Yu. N. Vasil'ev
741
The luminescence of trivalent uranium
L. N. Galkin, P. P. Feofilov
745

CHEMISTRY
Catalytic dehydration of alcohols over anhydrous magnesium sulphate
A. A. Balandin, M. B. Turova-Polyak, A. E. Agronomov, I. M. Khorlina, L. S. Kon'kova
773
The nitration of aromatic compounds by nitric anhydride according to the radical mechanism
A. N. Baryshnikova, A. I. Titov
777
On imides of phosphorus acids. The dialkylphosphoryl-$\mathrm N$-phenyltriazenes and their salts
M. I. Kabachnik, V. A. Gilyarov
781
A catalytic synthesis of para-, nitro-, amino- and sulphamidoderivatives of 2-phenylquinoline and 2-phenyl-5,6-benzoquinoline
N. S. Kozlov, O. K. Kozminykh
785
Oxidation breakdown of cellulose ethers
O. P. Kozmina, V. I. Kurliankina, E. N. Matveeva
789
Catalytic transformations of 1,1,2-trimethylcyclopropane in the presence of palladium coated or activated charcoal
M. Yu. Lukina, S. V. Zotova, B. A. Kazanskii
792
The condensation of acetylene with methylheptenone and its analogues. The synthesis of linalool and its analogues
I. N. Nazarov, B. P. Gusev, S. M. Makin, V. B. Mochalin, I. I. Nazarova, V. P. Vinogradov, B. K. Kruptsov, O. A. Shavrygina, D. V. Nazarova
796
The synthesis of alkylferrocenes by Friedel–Krafts reaction
A. N. Nesmeyanov, N. S. Kochetkova
800
On the chromatographic liberation of aromatic hydrocarbons from their mixture with organosulphur compounds
R. D. Obolentsev, B. V. Ayvazov
803
Two methods for a commercial scale production of methylpentadiene
M. I. Farberov, K. A. Machtina, S. I. Kryukov
807
Inquiries into the chemistry of piazothiole. The oxidation of 3,4-benzo-1,2,5-thiodiazole and its derivatives
A. M. Khaletskii, V. G. Pesin, Q. Zhou
811

PHYSICAL CHEMISTRY
Thermal decomposition of nitrocellulose in vacuo
K. K. Andreev, B. S. Samsonov
815
Explosion decomposition of hexogen
A. Ya. Apin, Yu. A. Lebedev
819
Adsorption of hydrogen on nickel layers condensed in high vacuum
N. N. Kavtaradze
822
Zero charge points of some metals and alloys
B. S. Krasikov, V. V. Sysoeva
826
Energy transfer by radiolysis of benzoyl peroxide solutions
V. A. Krongauz, Kh. S. Bagdasar'yan
829
An investigation of the mechanical properties of thin liquid layers in concentrated emulsions by the filtration method
S. V. Nerpin, N. F. Bondarenko
833
A generalized formulation of Gibbs inequality
L. S. Palatnik, A. I. Landau
837
A method of checking the equation of state for gases at high temperature
S. S. Semenov
841
The influence of added-surface active substances on the vibrational grinding of cement
L. I. Èdel'man, D. S. Sominskii
844
The kinetics of the formation of an alcohol and an alkyl acid in the reaction of propylene with a water solution of sulphuric acid
S. G. Entelis, V. E. Petrakovich, G. V. Korovina, N. M. Chirkov
848
 
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