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1978, Volume 238, Number 3  


MATHEMATICS
Factor representations of the crossed product of a commutative $C^*$-algebra and a semigroup of its endomorphisms
V. A. Arzumanian, A. M. Vershik
513
An algorithm of variable order and step for the numerical solution of stiff systems of ordinary differential equations
S. S. Artem'ev, G. V. Demidov
517
On Dirichlet approximation of real numbers
V. A. Ivanov
521
The distribution of values of the Legendre symbols of polynomials with prime numbers
A. A. Karatsuba
524
Matrix representations of free groups
Yu. I. Merzlyakov
527
Some uniqueness theorems for an equation of mixed type
E. I. Moiseev
531

CYBERNETICS AND THE REGULATION THEORY
Simulation of long-term regional development
V. A. Gelovani, S. V. Dubovsky, V. V. Yurchenko
534
A monotone iterative algorithm for the solution of matrix games
A. L. Sadovskii
538

AERODYNAMICS
On the flow structure in the neighborhood of the intersection between a shock and a caustic
V. A. Eremenko, O. S. Ryzhov
541

FLUID MECHANICS
Interaction of three-dimensional waves in a rotating horizontal layer of liquid heated from below
S. Ya. Gertsenshtein, E. B. Rodichev, V. M. Schmidt
545
Convective motions in a porous medium near the equilibrium instability threshold
A. F. Glukhov, D. V. Lyubimov, G. F. Putin
549

THEORY OF ELASTICITY
Damping of normal and surface waves and the dependence of their phase and group velocities on losses in the medium
V. M. Byrdin
552

GEOPHYSICS
Nonlinear effects in low-frequency geomagnetic fluctuations
Ya. N. Istomin, O. A. Pokhotelov
555
Change in the specific electrical conductivity of water of Zurmakentsky thermal sources in connection with the seismicity of the Daghestan wedge region bowels
D. G. Osika, A. B. Megaev
558
Relief of the Mohorovicić discontinuity within the western part of Is. Cuba
B. E. Sherbakova, V. G. Bovenko, G. Hernández
561

PHYSICS
Kinetic equation for electrons taking account of exchange effects and the conductivity of liquid metallic hydrogen
N. I. Klyuchnikov, S. A. Triger
565

CRYSTALLOGRAPHY
Crystal structure of keldyshite, $\mathrm{NaZr}[\mathrm{Si}_2\mathrm{O}_6\mathrm{OH}]$
A. D. Halilov, A. P. Khomyakov, S. A. Makhmudov
573
Crystal structure of synthetic end $\mathrm{Fe}$-member of the series triplete – zwieselite, $\mathrm{Fe}_2[\mathrm{PO}_4]\mathrm{F}$
O. V. Yakubovich, M. A. Simonov, E. N. Matvienko, N. V. Belov
576
 
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