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1965, Volume 161, Number 4  


MATHEMATICS
Bounds for rational trigonometric sums of a special type
N. M. Akulinichev
743
On the local best approximation to functions by polynomials
Yu. A. Brudnyi
746
Relaxation on surfaces with saddle-points
I. M. Glazman
750
An exceptional case of integral equations of convolution type in the class of generalized functions
V. B. Dybin
753
Eigenfunctions of an elliptic operator in certain unbounded regions
A. M. Il'in
757
Asymptotic formulae for eigenvalues of an elliptic membrane
N. V. Kuznetsov
760
The topological structure of stability-regions of a self-adjoint system of differential equations with periodic coefficients
V. B. Lidskii, P. A. Frolov
764
On commutative algebras of operators in the space $\Pi_k$
M. A. Naimark
767
Nonlinear high-order automatic systems investigated by exact analytic methods
R. A. Nelepin
771
On real entire functions belonging to the class $W_\sigma^{(1)}$
B. A. Rymarenko
774
Hartogs' theorem in certain normed fields
M. Sh. Stavskii
776
Infinitley small deformations of surfaces wih sleeve junctions
V. T. Fomenko
780
The solution of an equation of infinite order in a uniqueness class
Yu. N. Frolov
783
Estimates of the coefficients of Hartogs functions of several complex variables
A. F. Shadrov
785

CYBERNETICS AND THE REGULATION THEORY
Double invariance of automatic control systems
B. N. Petrov, V. Yu. Rutkovskii
789

AERODYNAMICS
The plane wing in a hypersonic flow
G. G. Chorny
791

FLUID MECHANICS
A non-linear theory of the appearance of turbulence in flows with a mean velocity-gradient
È. M. Khazen
795

PHYSICS
Limit cross section of the radiation beam from an optical quantum generator
N. G. Basov, È. M. Belenov, V. S. Letokhov
799
On the statistical theory of the acceleration of particles by magnetohydrodynamic waves in a weakly turbulent rarified plasma
A. A. Galeev
802
Optical quantum generator on $\mathrm{CaF}_2:\mathrm{Dy}^{2+}$
V. V. Kostin, T. M. Murina, A. M. Prokhorov, V. T. Udovenchik
806
The use of a quantum paramagnetic amplifier of a travelling wave in astronomic investigations on 8-cm radiowave
L. I. Matveenko, G. S. Misezhnikov, M. M. Muchina, V. B. Shteĭnshleĭger
810
The energy spectra of scattered ions as influenced by the crystal structure of the target
E. S. Mashkova, V. A. Molchanov, V. Soshka
813
Reduction to a cellular-diagonal form of the matrices of operators commutable with the group of symmetry operators
N. K. Morozova, V. P. Morozov
817

GEOPHYSICS
Certain features of the energy spectrum of oceanic turbulence
R. V. Ozmidov
828

CHEMISTRY
The synthesis of polyatomic organosilicon etheroalkohols
K. A. Andrianov, L. I. Makarova
833
Stereospecific polymerization of butadiene in the presence of catalytic systems, based on $\pi$-cyclopentadienyl complexes of nickel
B. D. Babitskii, T. G. Golenko, B. A. Dolgoplosk, V. A. Kormer, V. I. Skoblikova, E. I. Tinyakova
836
Neutral iminodiacetates of certain metals, investigated by means of infrared spectroscopy
A. I. Grigor'ev, N. M. Prutkova, N. D. Mitrofanova, L. I. Martynenko, Vikt. I. Spitsyn
839
Phase structure of $\mathrm{Ti}$$\mathrm{Al}$ alloys containing from $0$ to $30$ % of $\mathrm{Al}$
I. I. Kornilov, E. N. Pylaeva, M. A. Volkova, P. I. Kripyakevich, V. Ya. Markiv
843
Isotopic exchange of hydrogen atoms in cyclopentadienyl rings of cobalticinium compounds
D. N. Kursanov, V. N. Setkina, N. K. Baranetskaya, G. G. Dvoryantseva, R. B. Materikova
847

PHYSICAL CHEMISTRY
Catalytic properties of zirconium phosphate
A. A. Balandin, A. I. Kukina, N. E. Malenberg, M. M. Ermilova
851
Energy of interaction between simple molecules and faujasite type zeolites
P. Breuer, A. V. Kiselev, A. A. Lopatkin, S. Shpigel
853
Oriented polyvinylidene chloride produced by radiation polymerization from the gaseous phase on oriented polymeric substrates
A. V. Vlasov, L. G. Tokareva, D. Ya. Tsvankin, B. L. Tsetlin, M. V. Shablygin
857
Mass-spectrum of water ionized by a strong electric field
I. V. Gol'denfeld, V. A. Nazarenko, V. A. Pokrovskii
861
The durability of polymeric coatings as dependent on the conditions of their formation and ageing
P. I. Zubov, V. S. Golikova, L. A. Sukhareva
864
Thermodynamic features in the deformation of chlorinated guttapercha when in a highly elastic state
V. A. Kargin, N. A. Plate, Tran Hieu, V. P. Shibaev
867
Two-quantum photochemical processes in frozen solutions of triphenylmethane compounds
Yu. I. Kozlov, D. N. Shigorin
871
An experimental investigation of the extrinsic photoeffect from the surface of diluted potassium amalgams in the liquid and solid states
V. B. Lazarev, Yu. I. Malov
875
The possibility of acidbasic catalysis of radical reactions
A. A. Medzhidov, A. L. Buchachenko, M. B. Neiman
878
Radiation polymerization of hexamethylcyclotrisiloxane in the solid phase
G. M. Trofimova, I. M. Barkalov, S. S. Kuz'mina, V. I. Gol'danskiĭ, N. S. Enikolopyan
882
Corrosion processes at a steel surface, as investigated by means of secondary ionic emission
V. I. Shvachko, B. T. Nadykto, Ya. M. Fogel', K. S. Garger
886
Equilibria when sodium and lithium react with diphenyl in electron-donating solvents
A. I. Shatenshtein, È. S. Petrov, M. I. Belousova
889

Поправки к статье “Гомогенный катализ в гетеролитическом хлорировании ненасышенных соединений” (ДАН, т. 155, № 6, 1964 г.)
Yu. A. Serguchev, E. A. Shilov
 
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