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1970, Volume 190, Number 1  


MATHEMATICS
A theorem on the representation of a homeomorphism modulo sets of the first category
A. V. Arkhangel'skii
9–12
The best rational approximations of convex functions and functions of finite variation
A. P. Bulanov
13–14
The existence of lacunary systems in Banach spaces
B. E. Veits
15–18
A correlation between topological entropy and metric entropy
E. I. Dinaburg
19–22
The complexity of the enumeration and solvability of predicates
M. I. Kanovich
23–26
Random subsets of the vertices of an $n$-dimensional cube
M. V. Kozlov
27–30
Nonlinear equations of Hammerstein type with a monotone operator
M. E. Kositskii
31–33
An operator-hysterant
M. A. Krasnosel'skii, B. M. Darinskii, I. V. Emelin, P. P. Zabreiko, E. A. Livshitz, A. V. Pokrovskii
34–37
The stabilization of the solution of the Cauchy problem for the heat equation
V. P. Mikhailov
38–41
Cubature formulae in $L_2^{(m)}(\Omega)$
V. I. Polovinkin
42–44
Some simple examples of universal functions
D. Skordev
45–46
The smoothness of a function of three variables of bounded variation
T. V. Terekhova
47–50
Classes of conjugate subgroups in topological groups
V. I. Ushakov
51–53
The conformal equivalence of the Carleman boundary value problem to the Riemann boundary value problem on an open contour
V. A. Chernetskii
54–56
A normally solvable equation of smooth transition
Yu. I. Cherskii
57–60

AERODYNAMICS
Integration of boundary layer equations with the aid of successive approximations
E. A. Kovach, G. A. Tirskii
61–64

FLUID MECHANICS
A universal law of turbulent heat- and mass-transfer from the wall for high Reynolds and Peclet numbers
B. A. Kader, A. M. Yaglom
65–68

MATHEMATICAL PHYSICS
On the impossibility of crystalline ordering in one- and two-dimensional classical systems
E. M. Sorokina
69–72

PHYSICS
Space distribution anisotropy of ions scattered by a single crystal
E. S. Mashkova, V. A. Molchanov, Yu. G. Skripka
73–76
A new method for determining the rate of dislocation motion in ionic crystals
F. D. Senchukov, S. Z. Shmurak
77–79
Radial stability of a cylindrical conductor in the field of a moving magnetic wave
V. N. Starkova
80–82
On some specificities of Faraday's effect in strongly alloyed semiconductors
E. G. Tsitsishvili
83–85

GEOPHYSICS
Electric characteristics of the rock-ice systems
V. V. Bogorodsky, G. P. Khokhlov, B. A. Fedorov, G. V. Trepov
88–90

CRYSTALLOGRAPHY
Crystalline structure of $\mathrm{Na}$-titanogermanate $\mathrm{Na}_2(\mathrm{TiO})[\mathrm{GeO}_4]$
V. Ya. Verkhovskii, È. A. Kuz'min, V. V. Ilyukhin, N. V. Belov
91–93
 
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