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1982, Volume 265, Number 1  


MATHEMATICS
Extremal elements and the value of the best approximation of a monotone function on $R^n$ by sums of functions of fewer variables
M.-B. A. Babaev
11–13
On the Cauchy problem for a class of nonlinear first-order partial differential equations
A. V. Bitsadze
14–16
On the diffraction of internal waves by the edge of an ice field
S. A. Gabov, A. G. Sveshnikov
16–20
Equivalent norms on nonreflexive Banach spaces
B. V. Godun
20–23
On the complexity of approximate assignment of functions in the algebra of logic
R. M. Dzhavadov
24–27
Some qualitative properties of the solutions of a mixed problem for elliptic equations in nonsmooth domains
A. I. Ibragimov
27–31
The projection theorem and its application to nonhomogeneous boundary-value problems
N. V. Kislov
31–34
Boundary properties of equimorphic functions
J. E. Mejía
35–38
Rational trigonometric sums and Artin $L$-functions
S. A. Stepanov
39–42
Regular subgraphs of regular graphs
V. A. Tashkinov
43–44
Mixed problems for parabolic equations of variable order
N. J. Yurchuk
44–47

GEOPHYSICS
A dynamic model of the formation of Earth upper mantle seismic anisotropy
A. G. Bugaevskii, E. M. Chesnokov
48–52
On the effects of dissipation and absorption of longitudinal seismic waves in the earth crust
M. V. Nevsky, A. V. Nikolaev, O. Yu. Riznichenko
53–57

MATHEMATICAL PHYSICS
The solvability of a two-phase quasistationary problem of crystallization
E. V. Radkevich, A. S. Melikulov
58–62

CRYSTALLOGRAPHY
Application of algebraic method for obtaining a basic system from the vector system
V. A. Lebedev, E. A. Soldatov, È. A. Kuz'min, N. V. Belov
73–76
Refinement of crystal structure of two $\mathrm{Mn}$-silicates $\mathrm{Na}_2\mathrm{Mn}_2\mathrm{Si}_2\mathrm{O}_7$ and $\mathrm{Na}_5(\mathrm{Mn},\mathrm{Na})_3\mathrm{MnSi}_6\mathrm{O}_{18}$
L. P. Otroshchenko, V. I. Simonov, N. V. Belov
76–79
On a criterion of the belonging of a structure to homometric set
V. G. Rau, T. F. Rau, V. V. Ilyukhin, N. V. Belov
80–83
Crystal structure of a new $\mathrm{Na},\mathrm{Fe}^{3+}$-orthophosphate, $(\mathrm{Fe}_{0{,}5}\square_{0{,}5})(\mathrm{H}_{1{,}5}\square_{0{,}5})\mathrm{Na}_5[\mathrm{PO}_4]_2\mathrm{Fe}_2 =\mathrm{Fe}_{0{,}5}^{3+}\mathrm{Na}_5[\mathrm{PO}_4]_2\mathrm{Fe}_{0{,}5}\cdot1{,}5\mathrm{HF}$
O. V. Yakubovich, E. N. Matvienko, M. A. Simonov, N. V. Belov
83–88
 
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