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1963, Volume 151, Number 3  


MATHEMATICS
On the zeros of Siegel
A. I. Vinogradov
479
The optimality of Voronoi's lattice of first type among lattices of first type of arbitrary dimension
A. F. Gametskii
482
Semi-heaps with minimal left ideals
L. M. Gluskin
485
On the Wiener–Hopf equation of the first kind
V. V. Ivanov
489
The powers of sets of precomplete classes of certain functionals of systems related to automata
V. B. Kudryavtsev
493
Invariants of linear representations of the rotation group of the plane and the problem of the center
K. S. Sibirskii
497
On the solution of ill-posed problems and the method of regularization
A. N. Tikhonov
501
Analytic representation of linear functionals in spaces of harmonic and analytic functions which are continuous in a closed region
V. P. Havin
505
On the non-existence of regularly varying tests for the Behrens–Fisher problem
O. V. Shalaevskii
509
Solution of non-selfadjoint equations by a variational method
V. M. Šalov
511
Quasi-invariant kernels in antagonistic games
E. B. Yanovskaya
513

CYBERNETICS AND THE REGULATION THEORY
Multidimensional transportation type problems in linear programming
B. S. Verkhovskii
515

AERODYNAMICS
Measurement of the time in which the equilibrium concentration of electrons is established behind a shock wave in the air
T. V. Bazhenova, Yu. S. Lobastov
519
Three-dimensional homogeneous expansion and compression of a rarefied gas with power functions of interaction
A. A. Nikol'skii
522

FLUID MECHANICS
A numerical method for calculating the propagation of linear waves in open channels, and an application to the flood problem
O. F. Vasiliev, S. K. Godunov, N. A. Pritvits, T. A. Temnoeva, I. L. Fryazinova, S. M. Shugrin
525

THEORY OF ELASTICITY
Some problems bearing on the circular bending of three-layer plates with allowance for a highly elastic deformation of the two outer layers made of glass plastics
A. A. Nikishin, A. L. Rabinovich
528

ASTRONOMY
Radar observations of Venus in the Soviet Union in 1962
V. A. Kotel'nikov, V. M. Dubrovin, B. A. Dubinskii, M. D. Kislik, B. I. Kuznetsov, I. V. Lishin, V. A. Morozov, G. M. Petrov, O. N. Rzhiga, A. M. Shakhovskoi, G. A. Sytsko
532
The soft X-ray radiation of the stars
G. M. Nikol'skii
536

PHYSICS
Majoration technique in quantum mechanics
O. I. Zavialov
539
Magnetic anisotropy of uniaxial ferromagnetics
N. A. Potapkov
543
A generalization of Friedman's models of the universe
K. P. Stanyukovich
546
The ionization mechanism behind the appearance of structural imperfections in crystals
S. V. Starodubtsev, A. E. Kiv
550

GEOPHYSICS
Altitude distribution of charged particles in the ionosphere and the transition zone between oxygen and helium ionic layers as revealed by ion trap tests in the “Cosmos-2” satellite
K. I. Gringauz, B. N. Gorozhankin, N. M. Shyutte, G. L. Gdalevich
560

CRYSTALLOGRAPHY
Integral rational bases of tensor invariants of crystallographic groups
Yu. I. Sirotin
564

CHEMISTRY
A spectrophotometric study of ethanol solutions of $\mathrm{CoCl}_2$ and $\mathrm{CoBr}_2$ when the $\mathrm{Cl}^-$ and $\mathrm{Br}^-$ concentrations are high
M. V. Andreeva, E. V. Stroganov
567
The interaction between furan alcohols and their derivatives and $\alpha,\beta$-unsaturated aldehydes and ketones
V. G. Glukhovtsev, S. V. Zakharova, A. D. Petrov
570
The frequencies and intensities of the infrared absorption bands $\nu$ of diazonium salts-$\mathrm{X}$ – $\mathrm{C}_6\mathrm{H}_4 \mathrm{N}_2\mathrm{Cl}$, as correlated with the constants of the substituent
L. A. Kazitsyna, B. S. Kikot', L. D. Ashkinadze, O. A. Reutov
573
Organoboron compounds. The hydroboration of the dimethyl ester of allylboric acid
B. M. Mikhailov, V. F. Pozdnev, V. G. Kiselev
577
Adsorption of benzene on a chromium–aluminium–potassium catalyst, investigated within a temperature range of 20 to 45$^\circ$C
A. M. Rubinshtein, K. I. Slovetskaya, T. R. Brueva
580
Interaction of radicals from irradiated protein and polymethylmetacrylate with oxygen and alkylphenols
I. I. Sapezhinskii, Yu. V. Silaev, N. M. Emanuel'
584
Thermal stability of synthetic $\mathrm{C}_{32}$ hydrocarbons having a hybrid structure
S. R. Sergienko, L. N. Kvitkovsky
587
Interaction of metallic lanthanum with its trichloride melt and the equilibrium constant of the reaction $2\mathrm{LaCl}_3()+\mathrm{La}()\rightleftarrows3\mathrm{LaCl}_2()$
M. V. Smirnov, P. M. Usov, T. F. Khazemova
591
New data on the mechanism of ethylene polymerization with a soluble catalytic system $\mathrm{Sn}(\mathrm{C}_6\mathrm{H}_5)_4+\mathrm{AlBr}_3+\mathrm{VCl}_4$
L. L. Stotskaya, B. A. Krentsel'
595

PHYSICAL CHEMISTRY
The viscosity of $n$-hexane in the liquid and gaseous states at high pressures and various temperatures
N. A. Agaev, I. F. Golubev
597
The influence of image forces on the charge distribution in a double electric layer
P. G. Ali-zade, G. A. Martynov, V. G. Melamed
601
Temperature distribution in ammonium perchlorate when burning
V. K. Bobolev, A. P. Glazkova, A. A. Zenin, O. I. Leĭpunskiĭ
604
The quenching of positronium and the inhibition of its formation in aqueous and organic solutions
V. I. Gol'danskiĭ, T. A. Solonenko, V. P. Shantarovich
608
On the physical meaning of force constants and the construction of the potential function of polyatomic molecules
L. A. Gribov
612
A contribution to theory of threadlike crystal grouwth on a cathode
S. I. Krichmar
616
Capillary equilibrium in a porous body model with intersecting pores of variable cross-section
V. S. Markin
620
On intermolecular regroupings
L. S. Mayants
624
Structural shanges in certain glasses during citallization
E. S. Sorkin, N. M. Vaysfel'd
628
The ionization and dissociation of hexafluoropropylene by electrons of varied energy
F. N. Chelobov, S. S. Dubov, M. V. Tikhomirov, M. I. Dobrovitskii
631
 
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