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1963, Volume 152, Number 1  


MATHEMATICS
Indices of functions on Riemann surfaces
L. A. Aksent'ev
9
The first and second boundary-value problems for elliptic equations which are degenerate at a finite number of interior points
A. I. Achil'diev
13
On Ehresmann's theory of jets
V. V. Vagner
17
Some classes of vector chains and their applications to the theory of semi-ordered spaces
A. I. Veksler
20
An extremal matrix algebra
N. N. Vorob'ev
24
Eigenvalue problems for second-order equations in the case of non-linear dependence on a parameter $\lambda$
Yu. N. Dnestrovskii, D. P. Kostomarov
28
On nonsummability of orthogonal series by linear methods
A. V. Efimov
31
A variational method of solving a class of degenerate elliptic equations
I. A. Kipriyanov
35
On the spectral function of a self-adjoint operator in a space with indefinite metric
M. G. Krein, G. K. Langer
39
Geodesic correspondence of semi-reducible Riemannian spaces
G. I. Kruchkovich
43
On the arithmetic of rational surfaces
Yu. I. Manin
46
On weak complete continuity of a linear mapping and its conjugate
M. M. Mel'tser
50
Some geometric properties of non-reflexive spaces
D. P. Mil'man, V. D. Milman
52
A constructive map of the square into itself, which moves every constructive point
V. P. Orevkov
55
Expansion into irreducible representations of the restriction of representations of the principal series of the proper Lorentz group to the real Lorentz group
B. D. Romm
59
Existence and asymptotic behavior of the solution of the Cauchy problem for a first-order differential equation with small parameter in a Banach space
V. A. Trenogin
63
Algorithmic problems in partially ordered groups
V. I. Frenkel'
67
Decomposition of the set of Poisson-stable motions in invariant classes
B. A. Shcherbakov
71

CYBERNETICS AND THE REGULATION THEORY
Distribution of intermediate information when computing on non-erasing Turing machines
N. V. Beljakin
75

THEORY OF ELASTICITY
Analytic structure of solution to the membrane equation
N. F. Morozov
78

PHYSICS
Magnetic susceptibility of semiconducting elements in the 4 th group from X-ray data
N. N. Sirota, A. U. Sheleg
81
Instability of the gas discharge in a magnetic field devoid of longitudinal current
A. V. Timofeev
84
An optical method of determining the melting point of graphite as dependent on pressure of up to 3000 atm.
N. S. Fateeva, L. F. Vereshchagin, V. S. Kolotygin
88

CHEMISTRY
The use of zonal fusion in establishing the fields of crystallization and eutectic composition of multicomponent molten salts systems
V. M. Agoshkov
96
Synthesis and certain properties of pyridinepentahalogen rhenates (IV) of pyridinium $\mathrm{PyH}[\mathrm{RePyCl}_5]$ and $\mathrm{PyH}[\mathrm{RePyBr}_5]$
G. K. Babeshkina, V. G. Tronev
100
The synthesis of new $\mathrm{C}$-glycosides
Yu. A. Zhdanov, G. A. Korolchenko, G. N. Dorofeenko, G. V. Bogdanova
102
Isomerization of $\Delta^3$-carene oxide when reacting with alcohols in the presence of acids
Z. G. Isaeva, I. S. Andreeva
106
Interaction of two inhibitors in the oxidation reaction of hydrocarbons
G. V. Karpukhina, Z. K. Maizus, N. M. Emanuel'
110
Oxidation of alurniniumalkyls
G. A. Razuvaev, A. I. Graevsky, K. S. Minsker, M. D. Belova
114
Isoprene polymerization in the presence of complexes formed by titanium tetrachloride with triethyl aluminium and amines
O. F. Solomon, P. Glineski, E. Mihailescu
117
Investigation of catalysts produced by reaction between sodium borohydride and salts of heavy metals
A. M. Taber, B. D. Polkovnikov, N. N. Mal'tseva, V. I. Mikheeva, A. A. Balandin
119
Synthesis of isotopically substituted organolithium compounds
T. V. Talalaeva, A. N. Rodionov, K. A. Kocheshkov
122
Equilibrium conditions when magnesium ferrite is reduced by hydrogen
A. A. Shchepetkin, L. G. Khromykh, V. N. Bogoslovskii, M. G. Zhuravleva, G. I. Chufarov
124

PHYSICAL CHEMISTRY
On the resonance theory of chemical reaction rates
A. M. Brodskii, A. Ya. Temkin
127
A contribution to the theory of condensed systems inflammation by a hot surface
V. N. Vilyunov, O. B. Sidonskii
131
Vibration spectra of alkali metal fluoroberyllates $\mathrm{M}_2\mathrm{BeF}_4$
A. I. Grigor'ev, Yu. V. Orlova, V. A. Sipachev, A. V. Novoselova
134
The use of surface ionization phenomena in studying catalytic reactions on a surface
N. I. Ionov, M. A. Mitsev
137
Double electric layer in salt melts and concentrated electrolyte solutions
G. A. Martynov, B. V. Deryagin
140
Thermal self inflammation of a homogeneous gaseous mixture in flow
A. G. Merzhanov, A. K. Filonenko
143
Complexing equilibrium between palladium chloride and ethylene in aqueous solutions
I. I. Moiseev, M. N. Vargaftik, Ya. K. Syrkin
147
Burning heat of wheat gliadin during its thermal denaturation
V. V. Ponomarev, N. I. Sosedov, T. A. Alekseeva, Z. B. Drozdova
151
The state of hydrogen in aquapolycompounds of tungsten as investigated by means of nuclear magnetic resonance
Vikt. I. Spitsyn, V. F. Chuvaev, V. Ya. Kabanov
153
The kinetics of stationary reactions
M. I. Temkin
156
Electron-spin-resonance study of cupric bis-dimethylglyoximate
R. Kh. Timerov, Yu. V. Yablokov, A. V. Ablov
160
Catalytic evolution of hydrogen on mercury when a high proportion of the electrode surface is filled with the catalyst
A. N. Frumkin, D. I. Dzhaparidze, G. A. Tedoradze
164
The mechanism of photochemical chlorination of chloroacetaldehyde
B. G. Yasnitskii, A. P. Zaitsev
168
 
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