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1983, Volume 270, Number 6  


MATHEMATICS
Inductive Turing machines
M. S. Burgin
1289
Semicontinuity of the spectrum and an upper bound for the number of singular points of the projective hypersurface
A. N. Varchenko
1294
On integrability conditions for the Euler equations on $\mathrm{SO}(4)$
A. P. Veselov
1298
Scattering of plane elastic waves by a slender body with a free boundary
G. V. Zhdanova
1300
Determination of the right-hand side of the Helmholtz equation
A. S. Zapreev, V. A. Tsetsocho
1305
On a class of nonlinear programming problems
N. B. Zyabrev
1308
“Hessians” of integrals of the Korteweg–de Vries equation and perturbations of finite-zone solutions
I. M. Krichever
1312
Function spaces with a power weight
L. D. Kudryavtsev
1317
Arithmetic completeness of type-free logic
A. S. Kuzichev
1323
On Cartesian powers of $P_2$
V. A. Taimanov
1327
Continuation from a domain and approximation of spatial quasiconformal mappings with a small distortion coefficient
D. A. Trotsenko
1331
On the topology of a free locally convex space
V. V. Uspenskii
1334

CYBERNETICS AND THE REGULATION THEORY
Sufficient conditions for decomposability of control problems
T. I. Korotkova
1338
Complexity of probabilistic automata which recognize regular languages
I. A. Pokrovskaya
1340

MECHANICS
Propagation of flexural waves in noncircular cylinders with initial stresses
A. N. Guz, J. A. Musaev
1343
On lateral vibrations of ship shafting
A. S. Kel'zon, A. P. Zobnin, L. M. Malinin, E. I. Troshkov
1346
Factorization method in the calculation of three-dimensional flows of a viscous compressible gas
A. A. Prikhod'ko
1350

FLUID MECHANICS
Stability of separated flow on a surface with a point of fracture
A. V. Dovgal, V. V. Kozlov
1356

GEOPHYSICS
On the conditions of solution uniqueness for the plane inverse problems of the gravimetry and the magnetometry for polygons with variable density and magnetization
V. N. Strakhov, M. A. Brodskii
1359

MATHEMATICAL PHYSICS
Stability of one-dimensional stationary weakly supercritical structures
A. B. Konstantinov, B. A. Malomed, S. M. Golberg
1364

PHYSICS
On disturbances leading to the disconnected domains
Ya. B. Zel'dovich
1369
A new laser ferroelectric $\mathrm{Pb}_5\mathrm{Ge}_3\mathrm{O}_{11}$$\mathrm{Nd}^{3+}$
A. A. Kaminskii, G. D. Kursten, D. Schultze
1373
A divertor plasma with strong recycling
A. V. Nedospasov, M. Z. Tokar'
1376
Stable (quasi-equilibrium) amorphous systems
L. S. Palatnik, I. I. Fal'ko
1380
Generalized theory of temperature and concentration jumps in binary gas mixture near the surface of a liquid
Yu. I. Yalamov, M. N. Gaidukov, M. A. Melkumyan
1384

CRYSTALLOGRAPHY
Crystal structure of rubidium oxohydroxoosmate $(\mathrm{VIII})$, $\mathrm{Rb}[\mathrm{Os}_2\mathrm{O}_8(\mathrm{OH})]$
N. N. Nevsky, M. A. Porai-Koshits
1392
 
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