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1970, Volume 194, Number 3  


MATHEMATICS
On economical construction of the transitive closure of an oriented graph
V. L. Arlazarov, Y. A. Dinitz, M. A. Kronrod, I. A. Faradzhev
487
The optimality of tests for the convergence of the Fourier series of almost periodic functions
E. A. Bredikhina
489
The stabilization of the solution of the Cauchy problem for a parabolic equation
A. K. Gushchin, V. P. Mikhailov
492
Bifurcation points of Hammerstein's equation
P. P. Zabreiko, A. I. Povolotskii
496
Complexity of the decidability of an enumerable set as a criterion of its universality
M. I. Kanovich
500
The index of certain classes of integral operators
N. K. Karapetyants, S. G. Samko
504
Admissibility of a sample mean as estimate of the shift parameter in the presence of polynomial losses
L. B. Klebanov
508
On the theory of periodic solutions of systems of ordinary differential equations
È. Muhamadiev
510
The polyhedron $\mu(m)$ and certain extremal problems of the geometry of numbers
S. S. Ryshkov
514
The classification of trisymmetric spaces
L. V. Sabinin
518
Quasiconformal harmonic mappings of Euclidean space
O. V. Titov
521
Application of a method of rapid multiplication of matrices to the problem of finding the transitive closure of a graph
M. E. Furman
524
Extension of mappings into spheres and P. S. Aleksandrov's problem of bicompact compressions
N. Hadzhiivanov
525
On the theory of $p$-spaces
M. M. Choban
528
Factorization of symmetric matrix polynomials
V. A. Yakubovich
532

MECHANICS
The dynamics of a rigid rotor rotating in axially preloaded rolling bearings
A. S. Kel'zon, N. V. Yanvarev
536

PHYSICS
Absorption of microradiowaves by atmospheric water vapour dimers
A. A. Viktorova, S. A. Zhevakin
540
Characteristics of coherent interactions of $\pi^-$-mesons on emulsion nuclei at 60 Gev
A. Kh. Vinitskii, V. G. Voinov, I. S. Strel'tsov, Zh. S. Takibaev, I. Ya. Chasnikov
544
Polarized gas entropy and the Gibbs' paradox
V. L. Lyuboshits, M. I. Podgoretskii
547
Stability of finite pressure plasma with locked particles
A. B. Mikhailovskii, A. M. Fridman
551
On gravitational stresses
I. G. Fikhtengol'ts
553
Absorption spectrum of water at 300$^\circ$ in the 4500–1500 cm$^{-1}$ range
G. V. Yukhnevich, A. A. Vetrov
557

GEOPHYSICS
The geoenergetic importance of geochemical processes
V. P. Zverev, B. G. Polyak
570
 
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