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1969, Volume 188, Number 5  


MATHEMATICS
The canonical expansions of the equations of a local analytic quasigroup
M. A. Akivis
967
Triangular representations of dissipative operators with resolvent of exponential type
M. S. Brodskii, L. E. Isaev
971
The structure of the optimal strategies in certain matrix games
L. M. Brègman, I. N. Fokin
974
The birational equivalence of linear algebraic groups
V. E. Voskresenskii
978
The solution of certain nonlinear systems of difference equations
E. G. D'yakonov
982
A certain boundary value problem for a model equation of mixed type with two perpendicular lines of degeneracy
M. M. Zainulabidov
986
Riemannian spaces with Euclidean isoperimetric inequality
V. K. Ionin
990
On the Kuhn–Tucker theorem
A. A. Kaplan, G. Sh. Rubinshtein
993
Estimates of a surface potential which is generated by a generalized shift operator
I. A. Kipriyanov, M. I. Klyuchantsev
997
Certain $\Delta\Sigma$-operations whose bases are obtained by uniting the chains of the base of the original operation
Z. I. Kozlova
1001
The application of Newton's method to the determination of the eigenvalues of $\lambda$ -matrices
V. N. Kublanovskaya
1004
Semiabelian categories
D. A. Raikov
1006
Certain properties of $R$- and $R^c$-operations
I. D. Stupina
1010
The regular realization in the large in $E^3$ of two-dimensional metrics of class $C^2$ with negative curvature of class $C^1$
E. V. Shikin
1014
Completely irreducible class I representations of real semisimple Lie groups
A. I. Shtern
1017

PHYSICS
The nature of capture centres in quartz glass
A. V. Amosov, G. T. Petrovskiĭ, D. M. Yudin
1020
On the probability of double beta-transformation of nuclei in regions distant from the beta-stability band
E. E. Berlovich, Yu. N. Novikov
1023
Experimental observation of $^{13}\mathrm{C}^{4+}$, $^{29}\mathrm{Si}^{4+}$, $^{77}\mathrm{Se}^{4+}$, $\mathrm{S}^{4+}$ ions in the diamond lattice by means of the electron-spin resonance technique
V. N. Lazukin, A. N. Terent'evskii
1026
Absorption of light in the $\mathrm{CaWO}_4:\mathrm{Nd}^{3+}$ crystal with $\mathrm{Na}^+$ compensation in the $1,06\mu$ region
D. A. Muhamedova
1028

GEOPHYSICS
A method for evaluating the quantity of supersaturation arising in the formation of droplet-liquid phase in clouds
È. L. Aleksandrov, Yu. S. Sedunov
1038

CRYSTALLOGRAPHY
Optical and generating properties of mixed $\mathrm{CdF}_2$$\mathrm{YF}_3$ crystals activated by $\mathrm{Nd}^{3+}$ ions
Kh. S. Bagdasarov, O. E. Izotova, A. A. Kaminskii, L. Li, B. P. Sobolev
1042
Thermodynamics of cationic vacancies distribution over sub-lattices in solid solutions of ferrite-spinels
B. Ya. Sukharevskii, B. G. Alapin, I. I. Vishnevskii
1045
 
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