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1975, Volume 220, Number 1  


MATHEMATICS
Weighted object domains and problems of enumeration of terms in these domains
Yu. M. Voloshin
11
Asymptotic algebra, its applications to the study of modular operators and their spectral properties
V. Ya. Golodets
15
On multipliers of Fourier transforms
V. M. Kokilashvili
19
On the nonlocal theory of the Cauchy problem for quasi-linear equations of first order in the class of locally summable functions
S. N. Kruzhkov, P. A. Andreianov
23
Extremally disconnected and similar groups
V. I. Malykhin
27
On a method of approximating solutions of the traveling-salesman problem
T. R. Minina, V. T. Perekrest
31
On the analytic continuation of the Green functions of exterior boundary-value problems for the two-dimensional Helmholtz equation
L. A. Muravei
35
On homogeneous representations of a locally compact group in a pair of dual spaces
M. A. Naimark
38
The language $\Delta$ with intuitionistic connectives
N. N. Nepeivoda
41
An example of an invariant measure
A. B. Kharazishvili
44

CYBERNETICS AND THE REGULATION THEORY
Fundamental finite control
A. G. Butkovskiy
47

MECHANICS
Gauss principle of least constraint for modeling the dynamics of automatic manipulators using a digital computer
A. F. Vereshchagin
51
Application of methods of physical kinetics to problems of vibrational action on friable media
Kh. I. Raskin
54

MATHEMATICAL PHYSICS
The noncompact algebra $\mathrm{SO}(2,1)$ and the classification of potentials in the Schrödinger equation
B. G. Konopelchenko, Yu. B. Rumer
58
Properties of the basis functions of expansions which are invariant under the group $O(4)$
B. A. Levitskii, V. M. Mostepanenko, V. M. Frolov
61

PHYSICS
Effective cross section of $\mathrm{MgII}$ resonance doublet excitation in electron-ion collisions
V. A. Kel'man, A. I. Dashchenko, I. P. Zapesochnyĭ, A. I. Imre
65
Seniority-classification in the theory of magnetism of molecules and impurity complexes in crystal
B. A. Men', A. N. Men'
68

GEOPHYSICS
The change in electric conductivity and the radio emission of rocks and minerals during physicochemical processes taking place in them
A. A. Vorob'ev, E. K. Zavodovskaya, V. N. Sal'nikov
82
Interpolation thermodynamic of solid bodies under high pressures
V. P. Trubitsyn, V. N. Zharkov, I. A. Tsarevskii
86

CRYSTALLOGRAPHY
Crystal structure of $\mathrm{Zn}$-triploidite
P. A. Sandomirskii, M. A. Simonov, N. V. Belov
89
 
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