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1980, Volume 251, Number 6  


MATHEMATICS
Deformations of the general Lie algebras of Cartan type
A. S. Dzhumadil'daev
1289
Combinatorial numbers, geometric constants and probabilistic inequalities
D. Katona, B. S. Stechkin
1293
General boundary-value problems for a class of singular and degenerate equations
V. V. Katrakhov
1296
Randomized estimation of the Fourier coefficients of the expansion of a function in $L_2$
A. I. Koryakin
1301
Hamiltonian cohomology of canonical algebras
I. S. Krasil'shchik
1306
Current algebras and nonlinear partial differential equations
A. G. Reiman, M. A. Semenov-Tian-Shansky
1310
On some properties of spectral decompositions corresponding to a selfadjoint elliptic operator of the second order with discontinuous coefficients
M. V. Suchkov
1314
On an optimal problem of Stefan type
A. D. Yurii
1317

MECHANICS
Plane adiabatic burst of a heated polymer layer
V. A. Kopotev
1322

FLUID MECHANICS
Shape of the surface of a capillary liquid in a vertical cylinder of arbitrary cross section
K. I. Babenko, S. P. Yur'ev
1326
Strong explosion and reorganization of the equilibrium configuration during relativistic gravitational collapse
A. N. Golubyatnikov
1330
A problem of the theory of free convection
N. D. Kopachevskii, Ngo Zui Kan
1334

THEORY OF ELASTICITY
Solution of a mixed static problem of elasticity theory for a half-space on an elastic base
M. V. Kavlakan, A. M. Mikhailov
1338

ASTRONOMY
Solar neutrinos and nonradial solar oscillations
G. T. Zatsepin, E. A. Gavryuseva, Yu. S. Kopysov
1342
Radiant heat exchange in the Venusian atmosphere
K. Ya. Kondrat'ev, N. I. Moskalenko, V. F. Terzi
1345

GEOPHYSICS
On the theory of directional seismic antennas
V. A. Babeshko, Zh. F. Zinchenko
1350
On a model of the tectonic earthquake focus
A. S. Bykovtsev, G. P. Cherepanov
1353
Geostrophic convection
G. S. Golitsyn
1356

MATHEMATICAL PHYSICS
Structure of the general solution and classification of partial sums of the Boltzmann nonlinear equation for Maxwellian molecules
A. V. Bobylev
1361
The nonequilibrium Green functions and their applications to nonequilibrium systems
Nguyen Tang
1365

PHYSICS
Optical properties and structural transformation in $\mathrm{NiTi}$
T. K. Boletskaya, V. E. Egorushkin, E. M. Savitskii, V. P. Fadin
1368
On the theory of light-beam nonlinear distortion compensation by means of the inversion of its wave front
L. A. Bol'shov, D. V. Vlasov, A. M. Dykhne, A. N. Starostin
1371
Kinetic properties and high-temperature phase transition in $\mathrm{NiTi}$ and $\mathrm{FeCo}$ alloys
V. E. Egorushkin, E. M. Savitskii, N. I. Fedyainova, V. P. Fadin
1376
Shock-wave front structure in solids
V. Yu. Klimenko, A. N. Dremin
1379

CRYSTALLOGRAPHY
Crystal structure of $\gamma$-$\mathrm{KEr}[\mathrm{PO}_3]_4$ – a new modification of rare-earth metaphosphates $\mathrm{KTR}[\mathrm{PO}_3]_4$
A. M. Dago, D. Yu. Pushcharovskii, E. A. Pobedimskaya, N. V. Belov
1392
Synthesis and structure of $\mathrm{AsSeJ}$ crystals
A. S. Kanishcheva, Yu. N. Mikhailov, A. P. Chernov
1396
Precision orientation of crystals, visualization and measurement of optic axis angles of blocks by means of the conoscopy with a point source
M. G. Serbulenko, V. M. Grika
1398
 
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