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1960, Volume 133, Number 4  


MATHEMATICS
The Lagrange–Sylvester formula for tensor functions, depending on two tensors
B. D. Annin
743
On principal notions of algebraic topology. Axiomatic definition of cohomology groups
V. G. Boltyanskii, M. M. Postnikov
745
Characteristic difference scheme for non-stationary kinetic equation
V. Ya. Gol'din
748
Integral equations with almost difference kernels
L. S. Rakovshchik
752

CYBERNETICS AND THE REGULATION THEORY
Extremum control of objects with inertia and of unstable objects
V. V. Kazakevich
756

MECHANICS
On nonlinear oscillations in a weak external field, a description by Lagrange's equations
V. I. Gaĭduk
760

FLUID MECHANICS
On the interaction of strong explosion waves with an electromagnetic field
V. P. Korobeinikov, V. P. Karlikov
764
The existence of aperiodic flows with free boundaries
Yu. P. Krasovskii
768
A method of shock wave calculation
V. F. Kuropatenko
771
A homogeneous rapid deformation of turbulence in a gas
V. A. Frost
773

THE MECHANICS OF CONTINUOUS MEDIUM
Equilibrium and motion of spheres in a viscoplastic liquid
U. Ts. Andres
777

THEORY OF ELASTICITY
Contact problem for an elastic layer under the action of an eccentric vertical force on a circular rigid stamp
K. E. Egorov
781
Elastic deformations of convex shells in the transcritical region
A. V. Pogorelov
785

PHYSICS
New isomeric states of spherical europium nuclei with an odd mass number
E. E. Berlovich, V. N. Klement'ev, L. V. Krasnov, M. K. Nikitin, I. Yursik
789
An investigation of the toroidal discharge in a rapidly varying longitudinal magnetic field
D. P. Ivanov, V. D. Kirillov
793
Relative yield and energy distribution of photodeutons from copper
A. P. Komar, E. D. Makhnovskii, V. P. Poddubnov
797
Perturbation theory for a simple structure operator
B. L. Livshits
800
Jumplike movement of dislocations in $\mathrm{NaCl}$ crystals
V. N. Rozhanskii, V. M. Stepanova
804
Quenching of sensibilized fluorescence in solutions
B. Ya. Sveshnikov, L. A. Limareva
807

GEOPHYSICS
On the principles to follow in constructing geophysical apparatus for electric prospecting by the method of frequency characteristic
K. B. Karandeev, L. Ya. Mizyuk
831
Calculation of the crystallization front movement in a supercooled cloud acted upon by solid $\mathrm{CO}_2$
A. G. Kolesnikov, V. I. Belyaev
835
Determination of the coefficients of vertical intermixing of particles in a free atmosphere
A. G. Laktionov
838

CHEMISTRY
Effects of conjugation energy on the rate of catalytic dehydrogenation of alkylaromatic and alkylhexahydroaromatic, hydrocarbons
O. K. Bogdanova, A. A. Balandin, I. P. Belomestnykh
841
On the alkylation of aromatic hydrocarbons by defines in the presence of $\mathrm{BF}_3\cdot\mathrm{H}_3\mathrm{PO}_4$
R. N. Volkov, S. V. Zavgorodnii
843
Some new reactions of addition of acetylene carboxylic acids and their ethers
E. I. Grinblat, I. Ya. Postovskii
847
The formation of 1,2,3-oxadiazine cycle when 1,1'-diacetylferrocene reacts with aryldiazonia
A. N. Nesmeyanov, È. G. Perevalova, N. A. Simukova, Yu. N. Sheinker, M. D. Reshetova
851
Production oi arylhalogenides from aromatic oxycompounds
O. M. Nefedov, Ya. L. Levkov, A. D. Petrov
855

PHYSICAL CHEMISTRY
An investigation into the influence of the specific radioactivity of cerium oxalate on its solubility
Vikt. I. Spitsyn, N. G. Moshchanskaya
859
The rate of diffusion of electrolytic hydrogen as influenced by the condition of that side of an iron membrane where the diffusion begins
I. A. Bagotskaya, L. D. Kovba
862
The effect of particle size on the rate of burning of mixtures containing $\mathrm{KClO}_4$ as the basic ingredient
N. N. Bachman, A. F. Belyaev
866
The mechanism of the electrolytic polishing of metals as considered in the light of electron microscope investigations of the metal surface at different stages of treatment
G. S. Vozdvizhenskiii, G. A. Gorbachuk, G. P. Dezideriev
869
Unequilibrium state behind a shock wave in the air
S. A. Losev, N. A. Generalov
872
The influence of selenium and tellurium on the catalytic action of silver in the oxidation of ethylene
V. E. Ostrovskii, N. V. Kul'kova, A. D. Nedbaeva
875
A rapid chromatographic method of measuring gas and vapour adsorption isotherms
S. Z. Roginskii, M. I. Yanovskii, Lu Pei-chan, G. A. Gaziev, G. M. Zhabrova, B. M. Kadenatsi, V. V. Brazhnikov
878
The kinetics of the pyridine-sulphotrioxide hydrolysis
I. G. Ryss, D. B. Donskaya
882
The influence of temperature on the rate of corrosion of metals in acid media
V. A. Khitrov, V. I. Shatalova, I. S. Slol'yaninov, Yu. I. Sadovskaya
886
The effect of light on an anode-polarized germanium electrode
A. A. Yakovlev, T. I. Borisova, V. I. Veselovsky
889
 
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