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1965, Volume 162, Number 1  


MATHEMATICS
Spectral expansion of arbitrary self-adjoint operators in eigenfunctionals
R. A. Aleksandryan
11
Division and factorization of Laurent series
I. V. Viten'ko, A. N. Kostovskii
15
Some modifications of the concept of modulus of smoothness and their applications
V. V. Zhuk
19
Best quadrature formulae for certain classes of functions
I. I. Ibragimov, R. M. Aliev
23
Noether's theorems for a class of singular integral equations with a shift and conjugation
G. S. Litvinchuk
26
Some approximation problems on sets in the complex plane
E. Sh. Chatskaya
30

CYBERNETICS AND THE REGULATION THEORY
A problem on stochastic linear programming and its stability
N. I. Arbuzova, V. L. Danilov
33

FLUID MECHANICS
A method of computing flows with strong viscous interaction
I. Yu. Brailovskaya
36

THEORY OF ELASTICITY
Exact solution to a problem of plastic flow in a thin layer between elastic surfaces
I. A. Kiiko
40

PHYSICS
A formal dynamic model of unitary symmetry
N. N. Achasov, Yu. B. Rumer, V. L. Chernyak, D. V. Shirkov
43
Ray caustics and natural oscillations in open cavities
V. P. Bykov
46
Experimental test of the validity of Pascal's law in unevenly heated gases
B. V. Deryagin, Ya. I. Rabinovich
50
Difference in the properties of ice as regards, its resistance to compression and to extension
V. V. Lavrov
54
The length of fluorescence of complex molecules
A. N. Sevchenko, L. G. Pikulik, M. Ya. Kostko
57
Rotation of the polarization plane by crystals due to the action of an electric field
V. A. Shamburov
60

GEOPHYSICS
On the magnetic properties of ultrabasic rocks
S. V. Moskaleva, I. F. Zotova
70
Quasigeostrophic instability of oceanic currents
B. A. Tareev
74

CHEMISTRY
Disproportioning reaction, a new method for synthesizing siliconorganic polymers. The synthesis of polyphenylenesilanes
K. A. Andrianov, V. I. Pakhomov, V. M. Gel'perina
79
Spectroscopic investigation of the tautomerism of 4-carbomethoxy-3-ketothiophane, 2-carbomethoxy-3- ketothiophane, and 4-methyl-2-carbomethoxy-3-ketothiophane
B. A. Arbuzov, O. A. Erastov, A. B. Remizov
82
Protolysis mechanism of cis- and trans-$\beta$-chlorovinylmercury chlorides when acted upon by $\mathrm{HCl}$ and $\mathrm{DCl}$
I. P. Beletskaya, V. I. Karpov, V. A. Moskalenko, O. A. Reutov
86
Synthesis of cycloalkano-2,3-pyrrolidines and steric directivity of Leikart's reaction
M. A. Volodina, G. V. Kiryushkina, A. P. Terent'ev
90
Physico-chemical analysis of binary systems formed by tellurium with the germanium subgroup elements in the liquid state
V. M. Glazov, A. N. Krestovnikov, N. N. Glagoleva
94
Infrared absorption spectra of the alcoholates of beryllium, magnesium and alkali earth metals
A. I. Grigor'ev, N. Ya. Turova
98
The examination of alkaloids of the overground part of Vinca erecta
Sh. Z. Kasymov, P. Kh. Yuldashev, S. Yu. Yunusov
102
The synthesis of disaccharides
N. K. Kochetkov, A. Ya. Khorlin, A. F. Bochkov
104
Special features of the intramolecular hydrogen bonding in molecules of the anils of o-hydroxyaldehydes and o-hydroxyanils
V. I. Minkin, Yu. A. Zhdanov, A. D. Garnovskii, I. D. Sadekov
108
Reactions between chloromethylcyclopentadienylmanganesetricarbonyl and certain nucleophile reactants
A. N. Nesmeyanov, K. N. Anisimov, Z. P. Valueva
112
Superfine structure in electron-spin resonance spectra of certain derivatives from benzoyl hydrazyl free radicals
Yu. M. Ryzhmanov, Yu. V. Yablokov, B. M. Kozyrev, L. I. Stashkov, R. O. Matevosyan
116
A new synthesis of 2,3,4,5-tetradehydrobiotin
B. P. Fabrichnyl, I. F. Shalavina, Ya. L. Gol'dfarb
120
On the structure of copolymers of acrolein and vinyl aryl esters
M. F. Shostakovskii, G. G. Skvortsova, K. V. Zapunnaya, V. G. Kozyrev
124

PHYSICAL CHEMISTRY
Experimental determination of the specific heat of liquid tin at high temperatures
I. A. Ahmatova
127
Organosilicon compounds containing $\mathrm{Si}$$\mathrm{Cl}$ and $\mathrm{C}$$\mathrm{Cl}$ bonds, investigated by means of nuclear quadrupole resonance
I. P. Biryukov, M. G. Voronkov, G. V. Motsarev, V. R. Rozenberg, I. A. Safin
130
Structure and detonation mechanism of heterogeneous systems
V. F. Komov, Ya. K. Troshin
133
The mechanism of the production of a polymeric phase in monomeric crystals
I. M. Papisov, V. A. Kabanov, V. A. Kargin
136
Long-term strength of highly elastic polymers
M. M. Reznikovskii
140
Long wavelength absorption spectra of complex compounds of aniline with metals
N. G. Yaroslavskii, L. V. Konovalov
144

Поправки к статье “Свойства и строение дициклопентадиенилртути” (ДАН, т. 159, № 4, 1964 г.)
A. N. Nesmeyanov, G. G. Dvoryantseva, N. S. Kochetkova, R. B. Materikova, Yu. N. Sheinker
 
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