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1975, Volume 224, Number 1  


MATHEMATICS
On some classes of weakly Boolean rings
V. A. Andrunakievich, Yu. M. Ryabukhin
11
Kolmogorov cohomology for abstract Boolean algebras with closure
M. R. Bunyatov
15
Singularly perturbed systems containing indeterminacy in the case of degeneracy
A. B. Vasil'eva
19
The Cauchy problem for the Hopf equation corresponding to a quasi-linear parabolic equation
M. I. Vishik
23
Triangle products, prevarieties, and radical classes of linear representations of groups
S. M. Vovsi
27
Universal manifolds and turnpike theorems for a class of optimal control problems
L. F. Zelikina
31
A central limit theorem for Gibbsian random fields
V. A. Malyshev
35
Regularity of convex hypersurfaces with a regular metric
A. V. Pogorelov
39
On the simultaneous regularizability of multidimensional boundary-value problems
A. T. Uss, V. I. Shevchenko
43
Extremal problems for Hardy classes of vector valued functions
I. M. Tsalyuk
46

CYBERNETICS AND THE REGULATION THEORY
Probability density of states of linear dynamic systems with variable parameters
V. A. Bodner, A. G. Urumyants
50

THEORY OF ELASTICITY
Dynamic equations in the theory of anisotropic plates
V. L. Berdichevsky
54

ASTRONOMY
On the undular character of hypsographic curve and some hypsometric specificities of the Martian surface
Yu. N. Lipsky, D. A. Kazimirov, Zh. F. Rodionova, V. A. Shuvaeva
58

PHYSICS
On some possible applications of concentration waves
Yu. I. Balkareĭ, M. G. Nikulin
62
Direct measurements of luminescence quantum yield from metastable state of $^4F_{3/2}\mathrm{Nd}^{3+}$ in crystals of $\mathrm{Y}_3\mathrm{Al}_5\mathrm{O}_{12}$
E. M. Dianov, A. Ya. Karasik, V. B. Neustruev, A. M. Prokhorov, I. A. Shcherbakov
64

GEOPHYSICS
On the solution of a three-dimensional inverse problem of gravimetry by the method of construction of families of bodies possessing weak uniqueness and equivalent to field sources according to several harmonic moments
P. I. Balk
80
Structure of the upper mantle of north-eastern regions of the European platform according to seismic data
Yu. A. Burmakov, A. V. Egorkin, E. A. Popov, V. Z. Ryaboy
84

CRYSTALLOGRAPHY
X-Ray spectral study of silicates. I. Structure of silicon $L_{\mathrm{II},\mathrm{III}}$ band
Yu. P. Dikov, Yu. N. Romashchenko, I. A. Brytov, V. V. Nemoshkalenko
88
Crystalline structure of lanthanum perrhenate, $\mathrm{La}(\mathrm{ReO}_4)_3\cdot4\mathrm{H}_2\mathrm{O}$
V. P. Mashonkin, V. V. Ilyukhin, N. V. Belov
92
 
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