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1963, Volume 153, Number 3  


MATHEMATICS
On the best mean first-degree approximation of analytic functions on circles
S. Ya. Al'per
503
The imbedding of modules
V. A. Andrunakievich, Yu. M. Ryabukhin
507
A uniqueness theorem for Dirichlet series for the case of more general behaviour of the exponents
G. M. Gashimov
510
The structure of the ring of finite functions on the group of second-order unimodular matrices with elements belonging to a disconnected locally compact field
I. M. Gel'fand, M. I. Graev
512
Bounds for the diameter and width of convex surfaces of bounded Gaussian curvature
V. I. Diskant
516
Some extremal properties of polynomials
K. Dochev
519
Families of distributions and separating partitions
A. M. Kagan
522
Boundary estimates for the solution of the third boundary-value problem for a parabolic equation
L. I. Kamynin, V. N. Maslennikova
526
Imbedding theorems for functions defined on unbounded regions
L. D. Kudryavtsev
530
On a method of numerical solution of linear integral equations of convolution type
V. N. Strakhov
533
Stability theorems for convex, almost spherical surfaces
A. I. Fet
537

MECHANICS
The variation of the constants of linear gyroscopic systems as influencing the oscillation frequencies and the damping coefficients
I. I. Metelitsyn
540

AERODYNAMICS
Motion of monoatomic rarefied gas in a uniformly expanding space
A. A. Nikol'skii
543
A contribution to the non-linear theory of the developmeni of aerodynamic perturbations
V. V. Struminskii
547

FLUID MECHANICS
Motion produced in an inhomogeneous atmosphere by a plane shock of short duration
Yu. P. Raizer
551

ASTRONOMY
Distribution of polarized radio emission in the Sygnus-A source according to observations at Pulkovo
N. S. Soboleva, G. M. Timofeeva
555

MATHEMATICAL PHYSICS
The calculation of stationary resonance conditions in the operation of certain non-linear oscillatory systems
V. M. Volosov, B. I. Morgunov
559
Variation principle in general relativity
K. P. Stanyukovich
562
Mass, polarization and vertex operators in a modified formulation of the problem concerning a non-ideal Bose–Einstein system
V. V. Tolmachev
566

PHYSICS
Radiation of electromagnetic waves from a system of semi-infinite plates
E. V. Baklanov
570
Free and bound excitons in $\mathrm{GaP}$ crystals
E. F. Gross, N. S. Kochneva, D. S. Nedzvetskii
574
Frequency displacement when light is scattered in a relativistic plasma
O. Pogutse
578

GEOPHYSICS
The intensity of the vertical transfer of oceanic waters
K. A. Chekotillo
585

CHEMISTRY
Unusual effect of substituents in $S_E$ 2-reaction
G. A. Artamkina, I. P. Beletskaya, O. A. Reutov
588
The synthesis of the $\mathrm{N}$-benzoyl derivatives of 1,2-dihydroquinolines
L. P. Zalukaev, T. I. Zheltukhina
592
The dipole moments and structure of intracomplex copper compounds with aromatic Schiff's bases
V. A. Kogan, O. A. Osipov, V. I. Minkin, M. I. Gorelov
594
The primary structure of RNA. The interaction of RNA with $\mathrm{O}$-methylhydroxylamine
N. K. Kochetkov, È. I. Budovskiĭ, N. A. Simukova
597
Cocrystallization of ionic compounds from organic solvents
N. B. Mikheev, G. I. Shmanenkova
601
Spirodiphosphites
È. T. Mukmenev, Gilm Kamai
605
Diphenyl-$o,o'$-diphenyleneammonium salts
A. N. Nesmeyanov, T. P. Tolstaya, A. V. Grib
608
Reactions involving a nucleophile addition of benzo-$\alpha$-phenoxazinone-9 and the chloride of 9-dimethylamino-benzo-$\alpha$-phenoxazonium
I. Ya. Postovskii, G. B. Afanas'ev
612
The rearrangement of $\alpha$-oxyphosphinic esters to phosphinates and thiophosphates
A. N. Pudovik, I. V. Konovalova, L. V. Dedova
616
Interaction of certain aminocompounds with silica gels subjected to dehydration
V. V. Strelko, P. P. Gushchin, Z. Z. Vysotsky
619
Differential amperemetric titration of iridium, palladium, iron and copper by an 8-mercaptoquinoline solution
Yu. I. Usatenko, V. I. Suprunovich
622
Synthesis of $\mathrm{S}$-substituted isothiuronium derivatives by the action of thiourea on simple ethers
R. Kh. Freidlina, B. V. Kopylova
626
Conversion of $\gamma$-ketocarboxylic esters into lactams
N. I. Shuykin, I. F. Bel'skii, V. M. Shostakovskii, S. N. Khar'kov, G. K. Gaivoronskaya
628

PHYSICAL CHEMISTRY
Electron microscope investigation of grafted polymers
E. M. Belavtseva, K. Z. Gumargalieva, A. I. Kitaigorodskii
631
The role of kinetic factors in the reduction of metal strength by absorption
Yu. V. Goryunov, B. D. Summ, E. D. Shchukin, P. A. Rebinder
634
Birefringence of thin liquid layers
R. Grin-Kelli, B. V. Deryagin
638
The kinetics and mechanism of the alkaline hydrolysis of vinyl esters
L. A. Kipryanova, A. F. Rekasheva
642
Evaporation of sulphur from sulfide scoria separated from copper
M. M. Pavlyuchenko, I. I. Pokrovskii
646
Association phenomena in new-lacquer phenolformaldehyde resins of orthoregular structure
V. P. Pshenitsyna, A. N. Shabadash, T. V. Fremel
650
The polarization characteristics of circulatory powder electrodes
A. B. Fasman, D. V. Sokol'skii, K. A. Shchurov
653
Current drop curves in the anode oxidation of zirconium under potentiostatic conditions
A. Ya. Shatalov, Yu. P. Gladkih, V. V. Malygin
657
 
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