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1960, Volume 132, Number 5  


MATHEMATICS
$\varepsilon$-Entropy of certain classes of functions
S. Ya. Al'per
977
On the identity of the dimension $\operatorname{ind}G$ and $\dim G$ for locally bicompact groups
A. Arkhangel'skii
980
Approximation of a certain class of periodical functions of many variables by trigonometric polynomials
K. I. Babenko
982
The spectrum of a certain operator and Dirichlet's problem for the equation $\square^2u+4\frac{\partial^2}{\partial t^2}\square u+2\frac{\partial^4u}{\partial t^4}=f(x,y,z,t)$
G. V. Virabyan
986
Lacunae of non-hyperbolic equations
S. A. Gal'pern
990
On the general theory of biorthogonal kernels
M. M. Dzhrbashyan, R. M. Martirosyan
994
Lie derivative and differential equations of the field of a geometric object
L. E. Evtushik
998
Some interpolation problems in the $H_p$ class for $p<1$
V. Kabaila
1002
Mixed boundary value problems for singular hyperbolic equations
M. B. Kapilevich
1005
Properties and calculation of optimal coefficients
N. M. Korobov
1009
On the twin prime hypothesis of the theory of primes by the method of I. M. Vinogradov
A. F. Lavrik
1013
Evaluation of the error involved in the method of nets for Neuman's two-dimensional problem
V. I. Lebedev
1016
On convexity of the region in which the solution of a differential equation of infinite order is regular
A. F. Leont'ev
1019
Conditions for closedness of the contraction of a self-adjoint operator
V. È. Lyantse
1023
On the tensor product of the representations of the supplementary series of the Lorentz characteristic group
M. A. Naimark
1027
Some problems in the topology of manifolds, connected with the theory of Toma spaces
S. P. Novikov
1031
The coincidence of various definitions of dimensionality for locally bicompact groups
B. Pasynkov
1035
On the Riemann problem on closed Riemann surfaces
Yu. L. Rodin
1038
Accurate estimate of the error of multidimensional quadrature formulas for functions of class $S_p$
I. M. Sobol'
1041
On the theory of quasiconformal mappings in space
B. V. Shabat
1045

CYBERNETICS AND THE REGULATION THEORY
Constructing the algorithm of an independent grammatical analysis of the Russian language
T. M. Nikolaeva
1049

MATHEMATICAL PHYSICS
Relationship between the law of decay and the first order moment of energy distribution
L. A. Khalfin
1051

PHYSICS
On the superconduction theory
D. N. Zubarev
1055

GEOPHYSICS
Ionized gas and high energy electrons in the vicinity of the Earth and in the interplanetary space
K. I. Gringauz, V. G. Kurt, V. I. Moroz, I. S. Shklovskii
1062

CHEMISTRY
The constancy of the activity product for simple (hydrated) metal ions and hydroxyl ions in the $\mathrm{M}^{n^+}-\mathrm{M(OH)}^{m^-}_{n+m}-\mathrm{M(OH)}_n-\mathrm{H}_2\mathrm{O}$
N. V. Aksel'rud
1067
The hydrolysis kinetics of some complex compounds of $\mathrm{Pt(IV)}$
A. A. Grinberg, Yu. N. Kukushkin
1071
Reduction of magnesium ferrite by hydrogen and graphite
M. G. Zhuravleva, G. I. Chufarov, D. Z. Brainina
1074
Some transformations of cyclododecatriene-1,5,9
L. I. Zakharkin, V. V. Korneva
1078
The structure of some products formed in the reaction of aluminium alkyls with titanium halides
A. K. Zefirova, N. N. Tikhomirova, A. E. Shilov
1082
The influence of the time factor on the composition-heat resistance diagram of five-component $\mathrm{Ni}$$\mathrm{Cr}$$\mathrm{W}$$\mathrm{Ti}$$\mathrm{Al}$
I. I. Kornilov, L. I. Pryakhina, O. V. Ozhimkova
1086
A potentiometric method for the titration of acids by quaternary ammonium bases
A. P. Kreshkov, L. N. Bykova, M. A. Mkhitaryan
1090
Production of diferrocenyl accordiny to Ulman
È. G. Perevalova, O. A. Nesmeyanova
1093
Addition of lithium dialkylphosphides to vinylacetylene hydrocarbons
A. A. Petrov, V. A. Kormer
1095
Interaction of silicon hydrides with $\alpha$- and $\beta$-chloronaphthalene and $n$-dichlorobenzene. Pyrolysis of ethylchlorosilanes in the presence of aryl chlorides
A. D. Petrov, E. A. Chernyshev, Li Guan-lian
1099
The composition of the products and the kinetics of butane cracking initiated by adding ethylene oxide
V. I. Petrosyan, R. V. Kosyreva, A. D. Stepukhovich, G. V. Shul'kevich
1103
The mechanism of pseudoionone cyclization
A. V. Semenovsky, W. A. Smit, V. F. Kucherov
1107
Comparative hydrogenation of sodium propylate on $\mathrm{Pt}$, $\mathrm{Pd}$ and $\mathrm{Ni}$ catalysts
D. V. Sokol'skii, L. P. Dunina
1111
An investigation of the mechanism of formation of high molecular tungsten compounds by dilatometric and spectrophotometric methods
Vikt. I. Spitsyn, V. Ya. Kabanov
1114
Vinyl compounds in diene synthesis. The stereospecific directivity of the diene synthesis of vinyl aryl esters with cyclopentadiene, as dependent on temperature
M. F. Shostakovskii, A. V. Bogdanova, T. M. Ushakova, B. V. Lopatin
1118

PHYSICAL CHEMISTRY
The mechanism of spontaneous protection of magnesium against oxidation
M. S. Beletskii, M. I. Erusalimskii
1122
Catalytic oxidation of propylene and acrolein on copper
V. M. Belousov, Ya. B. Gorokhovatskii, M. Ya. Rubanik, A. V. Gershingorina
1125
Explosive decomposition of nitrous oxide
B. B. Brandt, A. I. Rozlovskii
1129
The effects of benzene vapour adsorption on the electric conductivity of platinum films of various surface density
V. M. Gryaznov, V. I. Shimulis, V. D. Yagodovskii
1132
Excitation energy transfer and sensibilization of chemical reactions on the radiolysis of organic disulphide solutions
V. A. Krongauz, Kh. S. Bagdasar'yan
1136
Electric properties of systems composed of polymeres and metals
S. D. Levina, K. P. Lobanova, N. A. Plate
1140
Variation of the diffusion coefficient with the quantity of adsorption on activated charcoal
D. P. Timofeev, I. T. Erashko
1144
Distillation kinetics in a supercooled system
K. S. Shifrin, A. Ya. Perel'man
1148
The thermodynamics of isobutylene protonization
S. G. Entelis, K. S. Kazanskii, N. M. Chirkov
1152
 
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