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1976, Volume 231, Number 1  


MATHEMATICS
On the Riesz means of functions in Lipschitz classes
Sh. A. Alimov
11
On Heawood vectors of pseudotriangulations
E. G. Belaga
14
A proof of Grünbaum's conjecture on the acyclic $5$-colorability of planar graphs
O. V. Borodin
18
On a connection of singular perturbations with the penalty function method
V. Ya. Glizer, M. G. Dmitriev
21
On the Bredon cohomological dimension of hereditarily paracompact spaces
V. I. Kuz'minov, I. A. Shvedov
24
Lagrange multipliers in vector optimization problems
S. S. Kutateladze, M. M. Fel'dman
28
On a type of quadrature formulas of increased algebraic accuracy for a sphere
V. I. Lebedev
32
The existence of economic equilibrium in a model with innovations
V. L. Makarov
35
On spaces with a compact group of transformations
B. A. Pasynkov
39
On the bending of surfaces of genus $\rho>0$ with boundary in a space of constant curvature under external constraints
V. T. Fomenko, E. V. Tyurikov
43
The radius of injectivity of a complete open manifold of nonnegative curvature
V. A. Sharafutdinov
46

AERODYNAMICS
Separation of the inhomogeneous kinetic operator in the Boltzmann equation
V. V. Aristov, F. G. Cheremisin
49

THEORY OF ELASTICITY
Existence theorems for solutions of the fundamental statics problems of a transversally isotropic elastic body
M. O. Basheleishvili, D. G. Natroshvili
53

ASTRONOMY
On the nature of Tungus meteorite
S. S. Grigoryan
57

GEOPHYSICS
Experimental hodograph of the $PcP$ wave
S. D. Kogan
61
New geological possibilities of the sea magnetometry
B. D. Uglov, Ya. P. Malovitskiĭ, V. V. Fedynskii
64

MATHEMATICAL PHYSICS
On natural oscillation of a confined volume of magnetized cold plasma
A. L. Krylov, E. N. Fedorov
68

PHYSICS
Discharge in the near-rocket region when electron beams are injected in the ionosphere
A. A. Galeev, E. V. Mishin, R. Z. Sagdeev, V. D. Shapiro, V. I. Shevchenko
71
Secondary electron emission of single crystals of alloys of the molybdenum – niobium system
E. M. Savitskii, I. V. Burov, V. I. Kapustin
75
Tunnelling in the energy space as a mechanism of nonlinear oscillator swinging by an external harmonic force
V. N. Sazonov, V. Yu. Finkelshtein
78
Relative displacements of free probe particles in the field of strong gravitational wave
V. M. Sidorov
82

CRYSTALLOGRAPHY
X-Ray diffractometric determination of inclusion functions
K. P. Mamedov, M. F. Gadzhiev, Z. D. Nurieva
94
On crystal structures of bertrandite $\mathrm{Be}_4[\mathrm{Si}_2\mathrm{O}_7](\mathrm{OH})_2$, and hemomorphite (calamine), $\mathrm{Zn}_4[\mathrm{Si}_2\mathrm{O}_7](\mathrm{OH})_2\cdot\mathrm{H}_2\mathrm{O}$
M. A. Simonov, N. V. Belov
97

Поправки к статье “О гипотезе расширяющейся Вселенной” (ДАН, т. 229, № 1, стр. 67, 1976 г.)
D. I. Blokhintsev
 
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