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1968, Volume 180, Number 5  


MATHEMATICS
Extension of recursive hierarchies, and $R$-operations
V. I. Amstislavskii
1023
On the theory of the convergence of approximate solutions of an operator equation
Yu. E. Boyarintsev, V. G. Vasil'ev
1027
A remark on compact classes of algebraic systems
S. R. Kogalovskii
1029
Approximation of discontinuous functions by Fourier sums
G. I. Natanson
1033
A certain variational problem in parametric form
A. V. Pogorelov
1037
The fundamental matrix of solutions of the system of the spectral problem of heat and mass transfer
M. L. Rasulov
1039
Asymptotic behavior of a periodic solution of an equation of neutral type with small lag
V. I. Rozhkov
1041
The $k$stability of homeomorphisms and the union of cells
A. V. Chernavskii
1045
The minimax character of Hotelling's $T^2$ test
O. V. Shalaevskii
1048

MECHANICS
Speeding up of solid particles by cumulative explosion
V. M. Titov, Yu. I. Fadeenko, N. S. Titova
1051

CYBERNETICS AND THE REGULATION THEORY
Comparison of the complexities of realization of Boolean functions by automata and Turing machines
Yu. Ya. Breitbart
1053
Problems of finite control of linear systems with lumped parameters
A. G. Butkovskiy
1056

THEORY OF ELASTICITY
Dynamic stability and vibrations of sandwich panels in a supersonic gas flow
A. I. Smirnov
1060

ASTRONOMY
The ellipticity of the trajectory of free motions of the earth pole
V. P. Karklin
1064
On the possibility to evaluate the dimensions and masses of the ice nucleus of a comet. Photoluminescence of parent molecules
D. O. Mokhnach
1067

MATHEMATICAL PHYSICS
Optimal solution to the problem of linear antenna synthesis
A. G. Ramm
1071

PHYSICS
Some features of secondary ionic emission from $\mathrm{W}$$\mathrm{Mo}$ alloy under the action of slow ions
U. A. Arifov, D. D. Gruich, Kh. M. Khamidova
1075
The possibility of stabilizing the flute-type instability of plasma by means of a feed-back system
V. V. Arsenin, V. A. Chuyanov
1078
Polarization phenomena observed when electrons are scattered by protons in the high-energy region
A. I. Akhiezer, M. P. Rekalo
1081
The internal energy of a solid, as dependent on the rate of temperature variation
G. A. Gemmerling
1084
The $K_\alpha$ band of carbon X-ray emission in titanium carbides, in diamond and in graphite
E. A. Zhurakovskiy
1088
Investigation of the optical in the air with a mode – locked laser discharge
S. D. Kaitmazov, A. A. Medvedev, A. M. Prokhorov
1092
Resonance transfer of excitation and change in the superfine state of the atom
M. I. Chibisov
1094
Einstein's spaces of the second order of immersion
M. Sh. Yakupov
1096
 
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