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1958, Volume 123, Number 1  


MATHEMATICS
General solutions of differential-difference equations with constant coefficients
M. S. Agranovich
9
On algorithmic problems in effectively complete classes of groups
S. I. Adian
13
On the theory of equations with concave operators
I. A. Bakhtin, M. A. Krasnosel'skii
17
On the reducibility of a canonical system of differential equations with periodical coefficients
K. A. Breus
21
Contact schemes for monotonic functions
N. A. Karpova
25
Weyl's sums estimates and the distribution of primes
N. M. Korobov
28
Lie theorems for generalized operators of translation
B. M. Levitan
32
On the imbedding of normal spaces into bicompacts of the same weight and dimension
E. Sklyarenko
36
An example of zero-dimensional normal space having infinite dimensions from the standpoint of covering
Yu. Smirnov
40

FLUID MECHANICS
Gas flow from a vessel with plane walls forming a small angle $2\theta_0$
A. Arynov
43
Potential steady relativistic gas flows
F. I. Frankl'
47

THEORY OF ELASTICITY
The stability of an orthotropic cylindrical shell subjected to torsion with internal pressure
D. M. Darevskii, S. N. Kukudzhanov
49

MATHEMATICAL PHYSICS
Critical cross section in irregular waveguides
B. Z. Katsenelenbaum
53

PHYSICS
On possible methods of measuring the concentration of slow neutrons in the $F_2$ layer of the ionosphere
V. N. Kessenikh
57
Polarization of luminescence of excitation by polarized and natural light
A. N. Sevchenko, G. P. Gurinovich
60
The signal-to-noise ratio in a regenerative detector of nuclear paramagnetic resonance
I. F. Schegolev
64

CRYSTALLOGRAPHY
The crystal structure of natrochalcite $\mathrm{NaCu}_2(\mathrm{OH})[\mathrm{SO}_4]_2\cdot\mathrm{H}_2\mathrm{O}= \mathrm{Na}[\mathrm{SO}_4]_2[\mathrm{Cu}_2,\mathrm{OH}_2\mathrm{H}_2\mathrm{O}]$
I. M. Rumanova, G. F. Volodina
78

CHEMISTRY
The kinetics of the catalytic hydrogenation of molecules as related to their structure
A. A. Balandin, M. L. Khidekel'
83
On the reduction of nickel ferrite by graphite
V. N. Bogoslovskii, M. G. Zhuravleva, G. I. Chufarov
87
Isotopic exchange in molecular nitrogen on iron catalysts used in the synthesis of ammonia
G. K. Boreskov, A. I. Gorbunov, O. L. Masanov
90
Kinetic isotopic effect on the introduction of iodine into aromatic amines
F. M. Vainshtein, E. A. Shilov
93
Reformatsky reaction involving nitrobenzaldehydes
L. Kh. Vinograd, N. S. Vul'fson
97
The synthesis of $2$-methyl- and $3$-methyl-$1$-thiaindans and $2$-ethylthiaindene
E. N. Karaulova, D. Sh. Meilanova, G. D. Gal'pern
99
Catalytic synthesis of $4$-methyl-$2$-phenyl-$5{,}6$- benzoquinoline and $2{,}4$-diphenyl-$5{,}6$-benzoquinoline and their derivatives
N. S. Kozlov, I. A. Shur
102
Effect of the nature of the carrier on the direction of catalytic hydrogenation of hydrocarbons of the cyclopropane series
M. Yu. Lukina, S. V. Zotova, B. A. Kazanskii
105
On the synthesis of cyclopentyl- and cyclohexyl-substituted mesitylene
E. S. Pokrovskaya, N. A. Shimanko
109
Infrared spectra of organolithium compounds. Intermolecular lithium bond
A. N. Rodionov, D. N. Shigorin, T. V. Talalaeva, K. A. Kocheshkov
113

PHYSICAL CHEMISTRY
Isotopic investigations of the formation of hydrogen peroxide by oxidation of $2$-ethyl-anthrahydroquinone and isopropanol
A. I. Brodskii, V. I. Franchuk, M. M. Alexankin, V. A. Lunenok-Burmakina
117
Mass-spectra of large molecules
M. V. Gur'ev, M. V. Tikhomirov, N. N. Tunitskii
120
On the rate of degenerate chain branching in the oxidation of $n$-decane
D. G. Knorre, Z. K. Maizus, N. M. Emanuel'
123
On regularites in the radiation vulcanization of polyamides
S. A. Pavlova, S. R. Rafikov, B. L. Tsetlin
127
On the structure of water
I. Z. Fisher, V. K. Prokhorenko
131
 
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