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1972, Volume 202, Number 1  


MATHEMATICS
On some properties of weak topology in vector structures
Yu. A. Abramovich
9
A generalization of the Cauchy, Schwarz and Poisson integral formulas
I. I. Bavrin
12
On the approximation of functions in $C^r(\Omega)$ where $\Omega$ is an arbitrary open set
V. I. Burenkov
16
On the asymptotic behavior of the greatest eigenvalue of a second-order elliptic differential operator with a small parameter in the higher derivatives
A. D. Ventcel
19
Interpolation problems and Cebysev approximations
E. V. Voronovskaya
23
On estimates of the sum of a Neumann series by the Monte-Carlo method
S. M. Ermakov, V. S. Nefedov
27
On localization of Carleman singularities on compacta of measure zero
A. M. Olevskii
30
On the asymptotic behavior of solutions of differential equations in Banach space
B. A. Plamenevskii
34
On stability of half-trajectories under area-preserving mappings of the plane
L. D. Pustyl'nikov
38
Measures on topological Boolean rings
L. Ya. Savel'ev
41
Certain estimates for monotone curves in three-dimensional space
V. V. Strel'cov
44
An asymptotic estimate of the coefficients of an expansion in the functions of a certain system of analytic functions and its application to the interpolation polynomials in a generalized problem of moments
M. I. Shabunin
48
An upper bound for the norm of the error functional for cubature formulas with a Sobolev regular boundary layer $H_p^\mu(\Omega)$
T. Kh. Sharipov
51

CYBERNETICS AND THE REGULATION THEORY
Submodel similarity and planning relations for single indirect experiments
Yu. V. Burkin
54
Generalization of the theory of accumulation of deviations
G. M. Ulanov, I. Ya. Krichevskiy
56
Optimal control in hierarchical structures
Yu. M. Fatkin
59

PHYSICS
Surface generation of current carrier in electron-hole plasma $\theta$-pinch
V. V. Vladimirov, N. N. Kozlovskaya, V. R. Shanskii
62
On collective interactions of nucleons of high-energy cosmic ray heavy nuclei
N. L. Grigorov, D. A. Zhuravlev, V. D. Kozlov, M. A. Kondrat'eva, I. D. Rapoport, I. A. Savenko
65
Collective oscillations of a spherically symmetric system of rotating masses
A. M. Fridman, I. G. Shuhman
67

CRYSTALLOGRAPHY
Crystalline structure of frolovite, $\mathrm{CaB}_2\mathrm{O}_4\cdot4\mathrm{H}_2\mathrm{O}=\mathrm{Ca}[\mathrm{B}(\mathrm{OH})_4]_2$
Yu. K. Egorov-Tismenko, A. E. Gushchina, D. P. Shashkin, M. A. Simonov, N. V. Belov
78
 
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