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1965, Volume 161, Number 5  


MATHEMATICS
Certain extremal problems of the theory of polynomial operators
D. L. Berman
999
The moduli of convexity and smoothness of Banach spaces
V. I. Gurarii
1003
The continuity and complete continuity of operators of P. S. Uryson
P. P. Zabreiko
1007
Certain properties of solutions of non-linear equations of parabolic type in Hilbert space
Ya. D. Mamedov
1011
The problem of $M$-convexity
V. P. Palamodov
1015
Semigroups of transformations of rank not exceeding two
B. V. Popov
1019
On non-linear equations of the first kind
A. N. Tikhonov
1023
On certain Cauchy problems with initial data on a line of degeneracy
S. P. Khairullina
1027

FLUID MECHANICS
The influence of rotation of the appearance of turbulence in plane flows
Wo Hung-an, B. A. Tverskoi
1030
A boundary problem for filtration under pressure
N. B. Il'inskii
1033
Stability of steady flows of viscous incompressible fluids
V. I. Yudovich
1037

THEORY OF ELASTICITY
Refection and refraction of plane plastic waves
N. V. Zvolinsky, G. V. Rykov
1041
Torsion of a composite anisotropic cylindrical body with a slightly curved axis
G. M. Khatiashvili
1044

MATHEMATICAL PHYSICS
On the estimation of oscillatory behaviour for certain non-Hamiltonian systems
V. M. Volosov, B. I. Morgunov
1048
On the theory of ordered statistical systems
V. N. Zhigulev
1051
The statistical mechanics of a one-dimensional system with Coulomb interaction
I. P. Pavlotsky
1055

PHYSICS
Radiation in a single $\mathrm{GaSe}$ crystal induced through excitation with fast electrons
N. G. Basov, O. V. Bogdankevich, A. N. Pechenov, G. B. Abdullaev, G. A. Akhundov, È. Yu. Salaev
1059
Anomalously strong influence of pressure on optical and ferroelectric properties of single $\mathrm{SbSJ}$ crystals
K. Gulyamov, V. A. Lyakhovitskaya, N. A. Tikhomirova, V. M. Fridkin
1060
Continuous solar optical quantum generator on $\mathrm{Dy}^{2+}$ in $\mathrm{CaF}_2$
A. A. Kaminskii, L. S. Kornienko, A. M. Prokhorov
1063
Photoelectric properties of $p$-$\mathrm{ZnSiAs}_2$ and $p$-$\mathrm{CdGeAs}_2$ crystals
F. P. Kesamanly, Yu. V. Rud', S. V. Slobodchikov
1065
Grüneisen's constant in Thomas–Fermi approximation
V. P. Kopyshev
1067
Mass relations in the octet model with mixing
M. B. Menskii
1069

CHEMISTRY
Standard heats of formation of $\mathrm{ZrCl}_4$ and $\mathrm{HfCl}_4$
G. L. Galchenko, D. A. Gedakyan, B. I. Timofeev, S. M. Skuratov
1081
Diferrocenylamine
A. N. Nesmeyanov, V. A. Sazonova, V. I. Romanenko
1085
Comparative reactivity of norcarane and cyclopropane derivatives in ionic reactions
O. M. Nefedov, N. N. Novitskaya, V. I. Shiryaev
1089
Interatomic distances in latanoids in metal crystals
E. S. Sarkisov
1093
The influence of potassium iodide on the iodine-polyvinyl alcohol colour reaction
L. G. Tebelev, N. S. Silkina
1096
Low-temperature radiation polymerization of acroleine
E. I. Finkel'stein, A. D. Abkin
1098
Correlation of the dissociation constants of carboxylic acids $\mathrm{RCOOH}$ and Taft's $\sigma^*$ constants with the nuclear quadrupole resonance frequencies of halogens in $\mathrm{RHal}$ compounds
E. N. Tsvetkov, G. K. Semin, D. I. Lobanov, M. I. Kabachnik
1102
The synthesis and stability of certain furyl silanes
D. M. Shopov, S. S. Dyankov, N. S. Nametkin
1106

PHYSICAL CHEMISTRY
Mass-spectrometer study of the photoionization of scarcely volatile organic compounds
M. E. Akopyan, F. I. Vilesov
1110
The rate of Brownian coagulation of aerosols in thirteenmoment approximation
A. V. Astakhov
1114
The mechanism of high-temperature methane oxidation in shock waves
V. V. Voevodskii, R. I. Soloukhin
1118
Chemisorption heats and structure of surface compounds on metals
A. I. Gorbunov
1121
Observation of the electromotive force when germanium is grown epitaxially upon germanium and a gas transfer reaction with water is used
Yu. A. Zotov, V. N. Maslov, A. P. Mitin
1124
The choice of a reference point when studying the thermodynamic similarity of gases
Ya. Z. Kazavchinskii
1127
Polymerization of vinylpyridines on macromolecules of polystyrene sulphuric acid
V. A. Kargin, V. A. Kabanov, O. V. Kargina
1131
The mechanism of free radicals formation in the decomposition of hydroperoxides under the action of organic acids
L. G. Privalova, Z. K. Maizus, N. M. Emanuel'
1135
Thermal dehydration of polygorskite as investigated with the aid of infrared spectroscopy
Yu. I. Tarasevich, F. D. Ovcharenko
1138
The chemisorption of oxygen as influencing the work function and electric conductivity of titanium dioxide
E. N. Figurovskaya, V. F. Kiselev, F. F. Vol'kenshtein
1142
Diffusion in the polyisobutylene-solvents system, investigated by the interferential micromethod
A. E. Chalykh, R. M. Vasenin
1146
Silanol groups, intraglobular and at the surface of silica gels obtained hydrothermally
V. M. Chertov, D. B. Dzhambaeva, A. S. Plachinda, I. E. Neimark
1149
 
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