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1970, Volume 191, Number 2  


MATHEMATICS
Certain properties of spaces with bicompact complements of finite order
L. G. Zambakhidze
263
The character of the spectrum of a selfadjoint extension of the Laplace operator in a bounded region (fundamental systems of functions with an arbitrary preassigned subsequence of fundamental numbers)
V. A. Il'in, A. F. Filippov
267
On a pursuit problem
N. N. Krasovskii
270
The attraction zone of a saddle point in the process of steepest descent
Yu. I. Lyubich
273
Absolute convergence properties of multidimensional Fourier series from the point of view of the geometry of the weak discontinuities of the functions being expanded
V. P. Maslov
275
The Diophantineness of enumerable sets
Yu. V. Matiyasevich
279
A linear differential evasion game
L. S. Pontryagin
283
The sweep method
M. K. Fage
286
An application of the dispersion method in additive problems with a bounded collection of prime numbers
T. M. Fedulova
290
Weighted approximation by polynomials on the real axis
Geza Froid
293
The spaces that are close to normal ones and their bicompact extensions
E. Shchepin
295

MECHANICS
A high-velocity strike of a solid against rock
V. M. Titov, Yu. I. Fadeenko, G. A. Shvetsov
298

FLUID MECHANICS
On a direct problem for Laval nozzle
Yu. N. D'yakonov, L. V. Pchelkina
301

THEORY OF ELASTICITY
A study of the stresses arising in the bulging of a spherical shell
A. V. Pogorelov
305

PHYSICS
Dynamics of the change of electron current fraction in cathod region of an arc discharge
I. I. Beilis, G. A. Lyubimov, V. I. Rahovskii
307
The stationary diffusion onto “grey” bodies, particularly onto “grey” sphere
V. I. Smirnov
311
Intensities of primary and secondary X-ray spectra
A. G. Stadnikov, A. P. Nikol'skii
315

CRYSTALLOGRAPHY
Density variations in different kinds of natural diamonds
V. A. Bochko, Yu. L. Orlov
341
The synthesis of poly crystalline formations of cubic boron nitride
L. F. Vereshchagin, E. N. Yakovlev, V. N. Slesarev, T. D. Varfolomeeva, I. S. Gladkaya, G. A. Dubitskiy, L. E. Shterenberg
345
 
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