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1967, Volume 172, Number 1  


MATHEMATICS
Essential variables of functions of the algebra of logic
Yu. Ya. Breitbart
9
Additive set functions continuous in a direction
Yu. I. Gil'derman
11
Generalization of a problem of Schaeffer–Duffin to finite functionals
M. Ya. Zinger
14
Sufficient conditions for the optimality of discrete control systems
V. F. Krotov
18
Inverse method of establishing deducibility for non-prenex formulas of predicate calculus
S. Yu. Maslov
22
Analytic capacity and the Cauchy integral
M. S. Mel'nikov
26
Invariant coverings of subgroups
V. T. Nagrebetskii
30
Rings of operations and spectral sequences of Adams type in extraordinary cohomology theories. $U$-cobordism and $K$-theory
S. P. Novikov
33
Extraction of the square root from anticommutative spinors
S. S. Sannikov
37
Unitary and orthogonal invariants of matrices
K. S. Sibirskii
40
Elliptic (co)boundary morphisms
B. Yu. Sternin
44
Proof of non-isomorphism of spaces of smooth functions on a segment and on a square
G. M. Henkin
48
Groups with complemented nonnormal subgroups
V. A. Sheriev
52
Existence of a countable set of periodic motions in a four-dimensional space in an extended neighborhood of a saddle-focus
L. P. Shilnikov
54

MATHEMATICAL PHYSICS
The substitution groups of the representations of groups $G_2$ and $SU_3$
S. I. Alishauskas, Z. B. Rudzikas, A. P. Yucis
58
Method of rectifying the fronts for many-front one-dimensional Stefan-type problems
A. B. Uspenskii
61

PHYSICS
The anisotropy of the angular distribution and the structural nature of the energy distribution of ions scattered by the surface of a single crystal
A. A. Aliev, U. A. Arifov
65
A contribution to the theory of relaxation under the influence of a random external field
G. E. Vekstein, G. M. Zaslavsky
69
A note on mass formulas in the theory of unitary symmetry
V. G. Kadyshevskii
73
Artificial production of a Ballas type diamond
Ya. A. Kalashnikov, L. F. Vereshchagin, E. M. Feklichev, I. S. Sukhushina
76
Enquiry into the spectral dependence of the photoionization of sensibilizing centres in cadmium sulfide
V. E. Lashkarev, A. A. Ptashchenko
77
The energy structure of the cascade of collisions between like particles in a decelerating medium
V. M. Lenchenko, S. V. Starodubtsev
80
 
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