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1982, Volume 266, Number 3  


MATHEMATICS
On discretization of the Laplace operator
S. D. Algazin
521
Estimates of the rate of convergence in the central limit theorem in the space $C(S)$
V. Yu. Bentkus
526
Critical points of fields of convex polytopes and the Pareto-Smale optimum with respect to a convex cone
A. M. Vershik, A. G. Chernyakov
529
On Poisson brackets compatible with algebraic geometry and Korteweg–de Vries dynamics on the set of finite-zone potentials
A. P. Veselov, S. P. Novikov
533
Regularly $r$-closed fields
Yu. L. Ershov
538
Free topological groups of absolute neighborhood retracts and infinite-dimensional manifolds
M. M. Zarichnyi
541
On optimization problems with free boundaries
A. K. Kerimov
545
On theorems of Phragmen–Lindelöf type for solutions of second-order linear and quasilinear elliptic equations with discontinuous coefficients
A. A. Novruzov
549
The coincidence of the dimensions $\dim$ of $l$-equivalent topological spaces
V. G. Pestov
553
On boundary and initial values of solutions of second order parabolic equations
I. M. Petrushko
557
The multiplicative structure of division rings over number fields, and the Hasse principle
V. P. Platonov, A. S. Rapinchuk
560
Hypoellipticity of differential operators in the class of generalized periodic functions
P. R. Popivanov
565
On an estimate of the accuracy of a simple multidimensional search
I. M. Sobol'
569

AERODYNAMICS
Stochastic modeling of uniformly expanding rarefied gases
V. I. Shematovich, G. I. Zmievskaya, A. A. Pyarnpuu
573

FLUID MECHANICS
Principles of the fluid mechanics of two-phase media
O. V. Voinov
577

THEORY OF ELASTICITY
The relation between the solutions of mixed dynamical problems for a continuous elastic medium and a lattice
L. I. Slepyan
581

MATHEMATICAL PHYSICS
Fundamental solution of the wave equation with a velocity depending linearly on one argument
V. I. Makovetskii
585
Topology and isometries of the de Sitter world
N. V. Mitskevich, Yu. E. Senin
586
Solution of an inverse problem of diffraction
T. I. Savelova
590
On the regularity of the “finite-zone” solutions of integrable matrix differential equations
I. V. Cherednik
593
Averaging of the solution of the Schrödinger equation with a randomly time-dependent potential
S. E. Cheremshantsev
597

PHYSICS
The formation of acoustic saturation waves in a medium with random non homogeneities
A. V. Alekseev, N. V. Sushilov
602
Nondipole radiation at positron planar channeling: comparison of the theory with the experiment
V. N. Baier, V. M. Katkov, V. M. Strakhovenko
605
On the wide-band mixors for the vacuum ultraviolet and soft X-ray radiation
A. V. Vinogradov, N. A. Konoplev, A. V. Popov
610
State equation and phase-equilibrium curve for the liquid-vapor systems
N. M. Kuznetsov
613
Theoretical dependence of chromium ion levels in ruby on pressure
N. A. Kulagin, D. T. Sviridov
616
On the homogeneous nucleation of a new-phase particle in supersaturated multicomponent solid solutions
V. V. Slezov, E. F. Tikhonov
619

CRYSTALLOGRAPHY
Crystal structure of nabaphite, $\mathrm{NaBa}[\mathrm{PO}]_4\cdot9\mathrm{H}_2\mathrm{O}$
S. V. Baturin, Yu. A. Malinovskii, N. V. Belov
624
Crystal structure of a new lithium hydroxoosmiate $(\mathrm{VIII})$, $\mathrm{Li}_2[\mathrm{Os}\mathrm{O}_4(\mathrm{OH})_2]$
N. N. Nevsky, B. N. Ivanov-Emin, N. A. Nevskaya, N. V. Belov
628
 
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