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1983, Volume 271, Number 5  


MATHEMATICS
Covariant functors, retracts, and dimension
V. N. Basmanov
1033
A variational problem with retarded argument and its relation to some semigroup of mappings of a segment into itself
L. A. Beklaryan
1036
On the algebra generated by two-dimensional integral operators with Bergman kernel and piecewise continuous coefficients
N. L. Vasilevskii
1041
Estimation of the mean number of steps in the simplex method, and problems of asymptotic integral geometry
A. M. Vershik, P. V. Sporyshev
1044
An irreducible simply connected algebraic curve in $\mathbf{C}^2$ is equivalent to a quasihomogeneous curve
M. G. Zaidenberg, V. Ya. Lin
1048
The parametric method and extremal conformal mappings
V. V. Goryainov
1052
The weighted Korn inequality and some iteration processes for quasilinear elliptic systems
A. I. Koshelev
1056
Approximation on the sphere in $L_2$
P. I. Lizorkin, S. M. Nikol'skii
1059
The maximum principle for generalized solutions of the equation $\theta(\nabla z,ż, x)\det(z_{ij})=\varphi (x)$
A. V. Pogorelov
1064
Limit theorems for multidimensional critical branching processes with immigration
S. M. Sagitov
1066
The integration of multivalued mappings
E. S. Polovinkin
1069
A. N. Tikhonov's theorem for singularly perturbed systems
M. M. Khapaev
1074
The degree of smoothness of horospheres, radial fields, and horospherical coordinates on a Hadamard manifold
S. A. Shcherbakov
1078

CYBERNETICS AND THE REGULATION THEORY
Linear test algorithm of pattern recognition
V. I. Pereiaslavskii
1083

MECHANICS
Relation between the autoacoustic emission and the predestruction state of a crystal
V. N. Bovenko
1086
Frequency-coincident resonances of sound absorption and amplification in the widening waveguide with gas flow
A. Ya. Gokhshtein
1090

FLUID MECHANICS
Nonsteady regimes of convective combustion of a porous powder-like propellant
I. Sh. Akhatov, P. B. Vainshtein, R. I. Nigmatulin
1096

GEOPHYSICS
On the mechanism of spreading in active marginal seas
A. S. Monin, O. G. Sorokbtin
1101
On a possible cause of the winter disturbance of the ionospheric $\mathrm{D}$ region
Z. Ts. Rapoport
1103

MATHEMATICAL PHYSICS
A modification of the WKB method
N. E. Maltsev
1108

PHYSICS
On the relation between dielectric anomalies in ferroelectric crystals and isofrequency temperature dependencies of Raman scattering
A. A. Adkhamov, V. S. Gorelik, B. S. Umarov, M. Umarov
1112
On the energy of small metallic particles
N. S. Lidorenko, S. P. Chizhik, N. T. Gladkikh, L. K. Grigor'eva, P. N. Kuklin
1116
MGD processes at the initial stage of the explosive emission
V. V. Loskutov, A. Luchinsky, G. A. Mesyats
1120
Electrophysical properties of a number of composites based on dispersed molybdenum in the polymer matrix (SAM)
A. A. Ovchinnikov, È. V. Khlystunova, Yu. S. Mardashev, A. A. Khoroshilov
1123
Relation between the optical properties of oxide scale and its growth kinetics at laser ignition and combustion of a metal
A. M. Prokhorov, O. G. Buzykin, A. V. Burmistrov, M. N. Kogan, V. I. Konov, V. G. Ral'chenko
1126

CRYSTALLOGRAPHY
Determination of the coefficients of the crystal density single-electron matrix representation from X-ray diffraction data
Yu. V. Alexandrov, V. G. Tsirelson, R. P. Ozerov
1130
Structure formation of the natural mineral analogs and synthetic phases in the hydrothermal system $\mathrm{NaOH}$$\mathrm{ZrO}_2$$\mathrm{SiO}_2$$\mathrm{H}_2\mathrm{O}$
G. D. Ilyushin, L. N. Dem’yanets, V. V. Ilyukhin, N. V. Belov
1133
 
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