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 Author Index

 Dokl. Akad. Nauk SSSR, Volume 112 (1957)

 Dokl. Akad. Nauk SSSR, Volume 113 (1957)

 Dokl. Akad. Nauk SSSR, Volume 114 (1957)

 Dokl. Akad. Nauk SSSR, Volume 115 (1957)

 Dokl. Akad. Nauk SSSR, Volume 116 (1957)

 Dokl. Akad. Nauk SSSR, Volume 117 (1957)

 Dokl. Akad. Nauk SSSR, Volume 118 (1958)

 Dokl. Akad. Nauk SSSR, Volume 119 (1958)

 Dokl. Akad. Nauk SSSR, Volume 120 (1958)

 Dokl. Akad. Nauk SSSR, Volume 121 (1958)

 Dokl. Akad. Nauk SSSR, Volume 122 (1958)

 Dokl. Akad. Nauk SSSR, Volume 123 (1958)

 Dokl. Akad. Nauk SSSR, Volume 130 (1960)

 Dokl. Akad. Nauk SSSR, Volume 131 (1960)

 Dokl. Akad. Nauk SSSR, Volume 132 (1960)

 Dokl. Akad. Nauk SSSR, Volume 133 (1960)

 Dokl. Akad. Nauk SSSR, Volume 134 (1960)

 Dokl. Akad. Nauk SSSR, Volume 135 (1960)

 Dokl. Akad. Nauk SSSR, Volume 136 (1961)

Dokl. Akad. Nauk SSSR, Volume 137 (1961)

Number 1
MATHEMATICS
Cauchy directions and extensions of regular spaces
G. Ya. Areshkin
9
Comparison of the complexity of impasse d.n.f. and minimal d.n.f.
Yu. L. Vasil'ev
13
Non-negative additive functionals of Markov processes
A. D. Venttsel'
17
The method of averaging
V. M. Volosov
21
Some transformations of the fundamental equations in the theory of surfaces
N. V. Efimov, È. G. Poznyak
25
Solvability of the Dirichlet and Neumann problems for a linear elliptic operator with discontinuous coefficients
V. A. Il'in
28
The principle problem of the calculus of variations for the simplest functional on a set of discontinuous functions
V. F. Krotov
31
Regular convex surfaces with a regular metric in Lobachevsky space
A. V. Pogorelov
35
Perfect bicompact extensions
E. G. Sklyarenko
39
On the theory of the multiplicative groups of division rings
M. Sh. Huzurbazar
42
Uniform estimates of the derivatives of the solutions of the Dirichlet and eigenfunction problems for the operator $Lu=\operatorname{div}(p(x)\operatorname{grad}u)+q(x)\cdot u$ with discontinuous coefficients
I. A. Shishmarev
45

HYDRAULICS
Two-phase supersonic flows
I. A. Charnyi, D. S. Vil'ker, B. I. Mitelman, G. D. Rozenberg
48

ASTRONOMY
Features characteristic of the NGC 4486 radio-waves
Yu. N. Pariiskii
49

PHYSICS
On the problem of the angular distribution in multiple processes
B. T. Vavilov
51
On the possibility of decreasing the value of ionization fluctuations in gases
A. A. Vorob'ev, A. P. Komar, V. A. Korolev
54
Anisotropy of the cathode dissipation of single crystals
V. A. Molchanov, V. G. Telkovski, V. M. Chicherov
58
Low-frequency infrared absorption spectrum of the hydrogen bond in liquid water and aqua compounds
A. E. Stanevich, N. G. Yaroslavskii
60
Sensitivity of the polydispersion scattering function to the shape of the distribution curve
K. S. Shifrin, V. F. Raskin
64

GEOPHYSICS
Hydrodynamical long-range forecasting of the anomalies of the air vertical velocity over the Northern Hemisphere
Sh. A. Musaelyan
72
The application of a complete system of thermo-hydrodynamic equations to short-term weather forecast in a two-level model
Zeng Qing-tsun
76
Movement of glaciers
P. A. Shumsky
79

CHEMISTRY
Nitration of some $\alpha$, $\beta$-unsaturated aldehydes and ketones in the furan series
K. K. Venter, S. A. Giller
83
On the stability of complex compounds of bivalent platinum
A. A. Grinberg, M. I. Gel'fman
87
Separation of asymmetric arsonium compounds into optically active antipodes
Gilm Kamai, Yu. F. Gatilov
91
Separation of the components of an alloy when there is temperature difference
D. S. Kamenetskaya
94
The proton mobility of hydrogen atoms in acetyl chloride
D. N. Kursanov, V. N. Setkina
96
Comparative dehydrogenation ability of some diarylpicrylhydrazyl radicals
R. O. Matevosyan, E. G. Gabrielyan, A. K. Chirkov, I. Ya. Postovskii
99
Reactions of halogen derivatives of ethyl- and acetyl-ferrocene
A. N. Nesmeyanov, V. A. Sazonova, V. N. Drozd
102
The sulfuration of acyl and carbmethoxyl derivatives of ferrocene
N. A. Nesmeyanov, B. N. Strunin
106
Refinement of the values of constants in Tataevskii's scheme for the calculation of the burning temperature of alkanes
S. M. Skuratov, S. M. Stecher
109
Synthesis of monoatomic saturated alcohols and tertiary acetyl alcohols in the ferrocene series
Wu Guan-li, E. B. Sokolova, I. E. Chlenov, A. D. Petrov
111

PHYSICAL CHEMISTRY
The initiation of polymerization by electric charges arising at the phase separation boundary
G. P. Gladyshev, S. R. Rafikov
113
The interaction of valence-unbound carbon and hydrogen atoms
A. I. Kitaigorodskii
116
Reaction rate constant of $\mathrm{HO}_2+\mathrm{H}_2\mathrm{O}=\mathrm{H}_2\mathrm{O}_2+\mathrm{OH}$
V. N. Kondrat'ev
120
On the nature of the fluctuation bands of boric acid
A. A. Mal'tsev, V. K. Matveev, V. M. Tatevskii
123
Relation between the $\mathrm{H}_2\mathrm{O}_2$ isolated and the quantity of oxide molecules formed in the atmospheric corrosion of $\mathrm{Mg}$ and $\mathrm{Al}$
I. L. Roikh, I. P. Bolotich
126


Kh. N. Zeytunyan
8

D. M. Darevskii, R. I. Kshnyakin
8

Number 2

MATHEMATICS
The stability of the equilibrium position of a Hamiltonian system of ordinary differential equations in the general elliptic case
V. I. Arnol'd
255
An iterative method of solving the problem of linear programming
V. A. Bulavskii
258
The set of solutions of a linear differential equation
M. K. Gavurin
261
Certain properties of summation methods
S. P. Geisberg
265
Spatio-temporal integrals related to some differential equations and systems
Yu. L. Daletskii
268
A system of classical eigenfunctions of a linear self-adjoint elliptic operator with discontinuous coefficients
V. A. Il'in
272
A problem of I. M. Gel'fand
A. A. Kirillov
276
On isomorphic representations of rings and groups
M. A. Naimark
278
Isometric immersion in the large of a two-dimensional Riemannian manifold into a three-dimensional one
A. V. Pogorelov
282
Special kinds of $T$-pairs of congruence
O. S. Redozubova
284
Quadratic mean and arithmetic mean
B. S. Stechkin, S. B. Stechkin
287
An algorithm for establishing the identity of words in a nilpotent product of groups each given by a finite number of generators and defining relations
D. S. Faermark
291

CYBERNETICS AND THE REGULATION THEORY
The principle of nonlocal search in automatic optimization systems
I. M. Gel'fand, M. L. Tsetlin
295

FLUID MECHANICS
The motion of the surface separating two viscous liquids in a narrow crevice
V. L. Danilov
299
Some exact solutions of the equations of nonsteady motion in magnetohydrodynamics
Yu. P. Ladikov
303

ASTRONOMY
A new source of centimetre radio-waves
Yu. N. Pariiskii
307

MATHEMATICAL PHYSICS
Canonical operator transformation in representation of secondary quantization
F. A. Berezin
311

PHYSICS
Rayleigh light scattering in carbon tetrachloride solutions of acetone
M. I. Shakhparonov, D. K. Beridze
315

GEOPHYSICS
Ionization in the terrestrial atmosphere and the energy of Sun's short-wave ultraviolet radiation
G. S. Ivanov-Kholodnyi
327

CHEMISTRY
Conversion of furan-series amines to pyrrolidine homologues
I. F. Bel'skii, N. I. Shuykin
331
Nitroethers of $\mathrm{C}$-substituted carbohydrates
Yu. A. Zhdanov, G. A. Korolchenko
333
Some features of the electrodeposition of metals from solutions of extraordinary purity
G. N. Znamenskii, I. V. Gamali, V. V. Stender
335
Organosilicon monomers with fluorine-containing cyclobutyl rings
G. V. Odabashyan, V. A. Ponomarenko, Yu. N. Kovalev, A. D. Petrov
338
Regrouping in the process of homolitic addition of hydrogen bromide to polyhalogenalkenes
R. Kh. Freidlina, V. N. Kost, M. Ya. Khorlina, A. N. Nesmeyanov
341

PHYSICAL CHEMISTRY
On the theory of $I-t$-curves in the reduction of anions on a drop electrode with catalyst adsorption
A. Ya. Gokhshtein
345
On the nature of the induction period in the auto-oxidation of fats and fatty acids
N. S. Drozdov
349
Polani's rule for proton transitions and the hydrogen bond
E. A. Pshenichnov, N. D. Sokolov
352
A spectrophotometry study of zirconium chloride solutions in connection with the adsorption of zirconium on fluoroplast-4
I. E. Starik, I. A. Skul'skii, V. N. Shchebetkovskii
356
Iodine transfer mechanism with internal diffusion kinetics of iodine adsorption on charcoals from various solvents
A. N. Kharin, N. A. Kataeva
359

Number 3

MATHEMATICS
On the coefficients of a certain class of analytic functions of two complex variables
I. I. Bavrin
495
Over-convergence and non-continuability of series of functions
S. V. Varganova, Yu. F. Korobeinik
499
Solution of a system of quasilinear equations having divergence form, under periodic boundary conditions
M. I. Vishik
502
On the number of subgroups of a finite abelian group
P. E. Dyubyuk
506
Generalization of Hilbert's theorem on surfaces of constant negative curvature
N. V. Efimov, È. G. Poznyak
509
Estimates of trigonometric sums of a special form, and their applications
A. A. Karatsuba
513
The existence of solutions of a certain class of non-linear integral equations
N. V. Marchenko
515
Riesz nuclear scales
B. S. Mityagin
519
Convergence of certain difference schemes
O. A. Oleinik
523
Formulas for mechanical cubatures in $n$-dimensional space
S. L. Sobolev
527
Linear methods of approximation to continuous periodic functions of two variables
V. N. Trofimov
531
Intrinsic characterization of spaces topologically complete in the sense of E. Čech
Z. Frolík
533

FLUID MECHANICS
Symmetric motion of a perfect liquid as obtained from its rotation as a solid body
A. A. Nikol'skii
537

HYDRAULICS
Transient conditions of gas flow in mains
G. Pascal
541
The basic laws of motion of hydro- and aero-mixtures in pipes
A. E. Smoldyrev
545

PHYSICS
Paramagnetic resonance on copper conduction electrons
A. A. Galkin, V. P. Naberezhnykh
549
$\mathrm{Ir}^{183}$, a new isotope
A. K. Lavrukhina, T. V. Malysheva, B. A. Khotin
551
The “scattering” of charged quasiparticles on singular points in $\mathbf{p}$-space
I. M. Lifshits, A. A. Slutskin, V. M. Nabutovskii
553

GEOPHYSICS
Rapid variations of the rotation period of the second Soviet artificial earth satellite with respect to the transverse axis
V. M. Grigorevskii
572
Magnetohydrodynamic effects in the ocean
V. M. Kontorovich
576
Wave flux constants as determined from the constants of periodic bottom structures formed by the flux
B. A. Shulyak
580

CRYSTALLOGRAPHY
On the crystal texture of indium selenide $\mathrm{In}_2\mathrm{Se}_3$
S. A. Semiletov
584

CHEMISTRY
An investigation of bicyclic terpenes and their oxides by means of proton magnetic resonance
B. A. Arbuzov, Z. G. Isaeva, Yu. Yu. Samitov
589
The composition and structure of titanium compounds with chromium
R. B. Golubtsova
593
On exchange between irradiated metal platinum and complex bivalent platinum ions in aqueous solutions
A. A. Grinberg, M. I. Gel'fman, E. N. In'kova, G. A. Shagisultanova
597
Metallic compounds in the $\alpha$-solid solution region of the titanium – aluminium system
N. V. Grum-Grzhimailo, I. I. Kornilov, E. N. Pylaeva, M. A. Volkova
599
Relationship between the unsaturated condition and the autooxidation rate in mixtures of triglycerides derived from natural fats
N. S. Drozdov, N. P. Materanskaya
603
Order of addition of lithium to diphenyl
E. P. Kaplan, Z. I. Kazakova, A. D. Petrov
606
The effects of oxygen and water on the hydrogenation and isomerization activity of tungsten-sulphide catalysts
I. I. Levitskii, M. G. Gonikberg
609
Solubility of potassium ozonide in liquified ammonia (the $\mathrm{NH}_3$$\mathrm{KO}_3$ system)
S. Z. Makarov, E. I. Sokovnin
612
The $n$-dimethylaminophenylmercury derivatives of nitrosoanilines and nitrosonaphthylamines
A. N. Nesmeyanov, D. N. Kravtsov
614
Reaction of acyl peroxides with organic derivatives of lead, tin and silicon
G. A. Razuvaev, O. S. D'yachkovskaya, N. S. Vyazankin, O. A. Shchepetkova
618
Catalytic synthesis of 2-$n$-propyl-4-alkyltetrahydrofurans
N. I. Shuykin, I. F. Bel'skii
622

PHYSICAL CHEMISTRY
Changes in the spectral distribution of the proper and sensibilized photoeffect in silver halides following to a slight exposure to light
I. A. Akimov
624
Dehydration of cyclohexanol over magnesium sulphate and calcium chloride
A. A. Balandin, Vikt. I. Spitsyn, N. P. Dobroselskaya, I. E. Mikhailenko
628
Some relations in quantitative thermography
L. G. Berg, L. A. Borisova
631
The mechanism of ozone formation in the electrolysis of concentrated chloric acid solution
M. A. Gerovich, R. I. Kaganovich, Yu. A. Mazitov, L. N. Gorokhov
634
On the nature of the interaction between a benzene molecule and a hydroxyl group
A. V. Kiselev, Ya. Koutetski, I. Chizhek
638
The influence of chlorine ions on the electrochemical and corrosion behaviour of zirconium
Ya. M. Kolotyrkin, V. A. Gil'man
642
The electric properties of the hexaborides of alkali-earth and rare-earth metals and thorium
Yu. B. Paderno, G. V. Samsonov
646
Mobility of atoms on the surface of crystals at melting temperature
V. I. Shimulis, V. M. Gryaznov
648

Number 4

MATHEMATICS
Perturbation of the spectrum of a singular elliptic operator under variation of the boundary and boundary conditions
M. Sh. Birman
761
Equivalence of some unbounded operators in Banach space
I. V. Gel'man
764
A property of the solution of a hypoelliptic equation
V. V. Grushin
768
Groups with finite classes of conjugate subgroups with a given property
I. I. Eremin
772
The general form of the solution of a homogeneous differential equation with constant coefficients
V. P. Palamodov
774
On the interpolation of functions of $n$ variables
S. L. Sobolev
778
Divergence of Fourier series
L. V. Taikov
782
Divergent Fourier series of class $L^p$ ($p\ge2$)
P. L. Ul'yanov
786
Locally complete topological spaces
Z. Frolík
790
Some problems concerning the completeness of systems
S. Ya. Havinson
793
Stability of solutions of an equation in a Banach space
Z. I. Khalilov
797
Continuous additive functionals of Markov processes and excessive functions
M. G. Shur
800

CYBERNETICS AND THE REGULATION THEORY
Algorithmic solvability of isomorphism problems for automata
Yu. I. Sorkin
804

FLUID MECHANICS
Penetration of an arbitrary pressure into a compressible fluid in the isentropic case
A. G. Bagdoev, È. M. Nersisyan
807
On the structure of slow magnetohydrodynamic shock waves in the barotropic case
A. G. Kulikovskii
810

ASTRONOMY
An analysis of the distribution of interstellar polarization in Cygnus
V. A. Dombrovskii
814

MATHEMATICAL PHYSICS
A formal definition of $R$-operations
B. M. Stepanov
818

PHYSICS
Regarding some singularities in the transverse propagation of high frequency waves in magnetoactive plasma
B. N. Gershman
822
Division of antimony nuclei by fast protons
A. K. Lavrukhina, È. E. Rakovskii, Su Hun-gui, S. Khoinatskii
826
The fine structure of the scattered light Rayleigh line and the velocity of hyperacoustic oscillations in water
L. V. Lanshina, M. I. Shakhparonov
830
Infringement of Boltzmann's distribution in the process of thermal dissociation of molecules
A. I. Osipov
833
Quantum-mechanical theory of absorption and luminescence spectra from compound molecules
B. I. Stepanov
836

GEOPHYSICS
Cosmic ray outbursts of November 12–15, 1960
A. I. Kuzmin, G. F. Krymsky, G. V. Shafer, Yu. G. Shafer
844
Certain features of secular variations in magnetic field over the ocean
V. V. Shuleikin
848

CRYSTALLOGRAPHY
Luminescence spectra of diamonds from the pipe “Mir”
G. O. Gomon
852

CHEMISTRY
Diethyl ether of 1-ethoxycyclohexane-1-phosphinic-2 acid
B. A. Arbuzov, V. S. Vinogradova, N. A. Polezhaeva
855
An investigation of the nature of a chemical compound in the $\mathrm{Ti}$$\mathrm{Si}$ system
R. B. Golubtsova
859
On quantitative estimation of the influence produced by substituents on the polarographic reduction of some methylenimine compounds
Yu. P. Kitaev, H. C. Budnikov, T. V. Troepol'skaya, A. E. Arbuzov
862
A method of toluene-$\mathrm{C}^{14}$ cleavage for determining the position of the label in the nucleus
V. A. Koptyug, I. S. Isaev, N. N. Vorozhtsov
866
The radiation-kinetic method for the estimation of ultrasmall quantities of polonium
V. I. Kuznetsov, E. S. Ul'yanova
869
Interaction of nitrobenzenediazonium borofluorides with phosphorus trichloride
A. M. Lukin, I. D. Kalinina
873
The mechanism underlying the interaction of silicon hydrides with organohalogenides in the gaseous phase
A. D. Petrov, E. A. Chernyshev, Li Guan-lian
876
The use of neutron activation analysis for the estimation of tungsten in minerals and ore dressing products
I. N. Plaksin, I. F. Slepchenko, L. P. Starchik
880
The formation of solid solutions by tricalcium and tristrontium silicates
N. A. Toropov, A. I. Boikova, A. F. Ievins, S. K. Apinitis
882
Telomerization and polymerization of ethylene with silicon hydrides in the presence of titaniumtetrachloride
R. Kh. Freidlina, E. Ts. Chukovskaya, Tsao-I, A. N. Nesmeyanov
885

PHYSICAL CHEMISTRY
Mechanical and structural properties of protein fibre
N. V. Grigor'eva, V. A. Pchelin, P. A. Rebinder
889
Catalysis on organic semiconductors obtained from polyacrylonitryl by thermal treatment
E. S. Dokukina, S. Z. Roginskii, M. M. Sakharov, A. V. Topchiev, M. A. Geiderich, B. È. Davydov, B. A. Krentsel'
893
Adsorption of hydrogen ions on negatively charged mercury-electrolyte boundary
A. N. Frumkin, O. A. Petrii, N. V. Nikolaeva-Fedorovich
896
The kinetics of electrode processes and the spontaneous solution mechanism of $n$-germanium and $p$-germanium with variable resistivity
E. N. Paleolog, A. Z. Fedotova, N. D. Tomashov
900
The influence of the adsorbed halogens on the work function of electrons in iron
G. M. Popova, N. A. Shurmovskaya, R. Kh. Burshtein
904


G. A. Razuvaev, G. G. Petukhov, Yu. A. Kaplin
760

Number 5

MATHEMATICS
Non-trivial solutions of the Dirichlet problem for equations with Monge–Ampère operator
I. Ya. Bakelman, M. A. Krasnosel'skii
1007
Remark on the Schrödinger equation with singular potential
F. A. Berezin, L. D. Faddeev
1011
Certain boundary-value problems for elliptic equations with strong degeneration at the boundary
A. A. Vasharin, P. I. Lizorkin
1015
Cohomology of groups of units in algebras with division
B. B. Venkov
1019
Higher approximations in averaging
V. M. Volosov
1022
Periodically correlated random sequences
E. G. Gladyshev
1026
Distribution of values of meromorphic functions with separated zeroes and poles
A. A. Gol'dberg
1030
On the theory of triangular representations of nonselfadjoint operators
I. Ts. Gokhberg, M. G. Krein
1034
Certain types of invariant systems of simplest structure
A. A. Dezin
1038
Random walk on groups with a finite number of generators
E. B. Dynkin, M. B. Malyutov
1042
Spectral functions of certain classes of stationary Gaussian processes
I. A. Ibragimov
1046
The solution of the first boundary problem in the large for a quasilinear parabolic equation
L. I. Kamynin, V. N. Maslennikova
1049
Tricomiís singular problems in the neighborhood of a finite and infinite singular line
M. B. Kapilevich
1053
Some estimates of solutions of second-order elliptic equations
V. G. Maz'ya
1057
The existence of periodic solutions of certain non-linear systems
V. A. Pliss
1060
Simple subgroups of simply connected real simple Lie groups
A. I. Sirota
1063
On the geometry of cones in Banach space
V. Ya. Stetsenko
1067
Rounding errors in numerical solutions of systems of simultaneous linear equations by Cholesky's method and the method of principal elements
Tan Čžèn'
1071
Absolute convergence of multiple Fourier series
M. F. Timan
1074

CYBERNETICS AND THE REGULATION THEORY
On the synthesis of $\mathfrak{R}$-circuits
É. I. Nechiporuk
1078

MECHANICS
On the motion of a body of variable mass with constant expenditure of power in a gravitational field
G. L. Grodzovsky, Yu. N. Ivanov, V. V. Tokarev
1082

THEORY OF ELASTICITY
Stability of orthotropic plates with stepwise variable stiffness
M. R. Fel'dman
1086

PHYSICS
Broadening of hydrogen lines in the plasma of an arc and a shock tube
V. F. Kitaeva, N. N. Sobolev
1091
The effect of elastic relaxation stresses on the crystallization of very viscous liquids
L. V. Tverskaya
1095

GEOPHYSICS
Molecular ions in the upper atmosphere
A. D. Danilov
1098
Nitrogen ions in the upper atmosphere and the ionization of the region at night
V. G. Istomin
1102

CHEMISTRY
Inquiry into the ways of constructing a ring system of BA tetracyclines. The synthesis of esters of substituted 2-ketocyclohexylaceticacids
Yu. A. Arbuzov, A. A. Kiryushkin, M. N. Kolosov, Yu. A. Ovchinnikov, M. M. Shemyakin
1106
The 2-$\beta$-oxyethyl-2-phenylindandion-1,3
A. K. Aren, Ya. Ya. Dregeris, G. Ya. Vanag
1110
An optic investigation of conformations of 2-methyl-1-oxycvclohexvlethylene oxides
M. I. Batuev, A. A. Akhrem, A. D. Matveeva
1113
Some results of an X-ray study of ferrocene and its derivatives
È. E. Vainstein, Yu. F. Kopelev, B. I. Kotlyar
1117
Manifestation of pseudohalogen properties by a trifluoromethyl group linked with a carbon atom
I. L. Knuniants, Yu. A. Cheburkov
1121
Thermal alkylation of cyclohexane by olefins under pressure
N. M. Nazarova, L. Kh. Freidlin
1125
Addition of trichlorbromomethane to compounds defined by the general formula $\mathrm{R}(\mathrm{C}_6\mathrm{H}_5)_2\mathrm{ECH}=\mathrm{CH}_2$ (whore $\mathrm{R}=\mathrm{C}_6\mathrm{H}_5$, $\mathrm{CH}_3$; $\mathrm{E}=\mathrm{Sn},\mathrm{Si},\mathrm{C})$
R. Kh. Freidlina, G. T. Martirosyan, A. N. Nesmeyanov
1129
Homolytic isomerization of 2-bromo-3,3-dichlorobutene-1
M. Ya. Khorlina, V. N. Kost
1133
Autoxidation of the alkyl derivatives and halogen derivatives of 1,1-diphenylethane and isopropylbenzene
T. I. Yurzhenko, M. A. Dikii
1137

PHYSICAL CHEMISTRY
The role of convection in the burning of condensed fuel mixtures
N. N. Bachman
1141
The statics of ion mixture exchange
N. K. Galkina, R. N. Rubinshtein, M. M. Senyavin
1144
The use of high pressure in studying collective interaction in polymerization processes
M. G. Gonikberg
1147
The kinetics of the electrolytic reduction of iron on a dropping mercury electrode
V. F. Ivanov, Z. A. Iofa
1149
Nuclear magnetic resonance spectra of perfluorooctadiene and perfluorododecadiene when irradiated
N. M. Pomerantsev, V. A. Khramchenkov, L. V. Sumin, A. V. Zimin
1153
The effect of polymorphism on thermal conductivity
G. B. Ravich, Yu. N. Burtsev
1155
Concerning the action of surface active substances on the solution kinetics of calcium carbonate in mineral acids
Vikt. I. Spitsyn, V. A. Pchelkin, I. V. Goncharov
1158

Number 6

MATHEMATICS
Propagation of Rayleigh waves along the surface of a homogeneous elastic body of arbitrary shape
V. M. Babich
1263
Crossed products of a semigroup and a ring
A. A. Bovdi
1267
Generalized Abel theorems
K. V. Borozdin
1270
Characteristic classes for finite groups
B. B. Venkov
1274
Distortion in quasiconformal mappings
V. Gavrilov
1278
An integral inequality and the corresponding imbedding theorem
V. P. Glushko
1280
Approximation of functions in the spaces $\widetilde{W}_p^{(l)}(D)$ and $W_p^{(l)}(D)$ by continuously differentiable functions
V. P. Il'in
1283
Singular Goursat problems in a neighborhood of a singular characteristic at zero and at infinity
M. B. Kapilevich
1287
The Galois group of a local field
Helmut Koch
1291
Some spaces with affine connection admitting motions
Yu. I. Levin
1295
New versions and new uses of the dispersion methods in binary additive problems
Yu. V. Linnik
1299
Some properties of automorphisms of nilpotent groups
B. I. Plotkin
1303
Isometric transformations of punctured convex surfaces
A. V. Pogorelov
1307
General form of the linear differential equations whose order is reduced by the generalized differentiation operator $D^\alpha$
Yu. L. Rabinovich, S. V. Nesterov
1309
An invariant transformation of Riemannian spaces with common geodesics
N. S. Sinyukov
1312
An analogue of the Fortet–Kac theorem
L. P. Usol'tsev
1315
Some uniqueness theorems for functions subharmonic and meromorphic in the unit circle
I. V. Ushakova
1319
The solution of boundary-value problems with complicated boundary conditions by using results for simple boundary-value problems
V. E. Shamanskii
1323
Semieuclidean and seminoneuclidean spaces
E. U. Yasinskaya
1327

FLUID MECHANICS
On a model of a cavitating liquid
B. S. Kogarko
1331

PHYSICS
Distribution of heterocharge and field in photoelectrets
È. I. Adirovich
1335
On the determination of the total moment of a system of $n$ particles for the $j^n$ configuration
G. I. Zel'tser
1339
Acoustic radiation from a turbulent flow in the presence of elastic boundaries
L. M. Lyamshev
1343
Plane sound wave of finite amplitude in a moving medium
A. L. Polyakova
1347
$\beta$-Decay of strongly deformed nuclei
V. G. Solov'ev
1350

CRYSTALLOGRAPHY
On the structure of liquid water
G. G. Malenkov
1354

CHEMISTRY
The structure of the complex compounds of tin chloride with esters
A. Dembitsky, T. Sumarokova, M. Usanovich
1357
The intersection of stable and non-equilibrium tetrahedra in a mutual seven-component system of $\mathrm{Li}$, $\mathrm{Na}$, $\mathrm{Rb}$, $\mathrm{Tl}\parallel\mathrm{Br}$, $\mathrm{Cl}$, $\mathrm{NO}_3$, $\mathrm{SO}_4$
N. S. Dombrovskaya, N. V. Khakhlova, E. A. Alekseeva
1361
The system composed of arsenates and carbonates of copper and sodium
I. G. Druzhinin, A. Akbaev
1364
The synthesis of organoantimony acrylates and metacrylates capable of polymerization
M. M. Koton, F. S. Florinskii
1368
The production and some optical and magnetic properties of polyferrocenes
A. N. Nesmeyanov, V. V. Korshak, V. V. Voevodskii, N. S. Kochetkova, S. L. Sosin, R. B. Materikova, T. N. Bolotnikova, V. M. Chibrikin, N. M. Bazhin
1370
Dipole moments of imidazole and its derivatives
O. A. Osipov, A. M. Simonov, V. I. Minkin, A. D. Garnovskii
1374
Inquiry into the methods of synthesizing the peptide portion of ergoalkaloids
G. A. Ravdel, N. A. Krit, L. A. Shchukina, M. M. Shemyakin
1377
An investigation of isomeric octalines
A. V. Topchiev, G. M. Egorova, V. V. Bazilevich, V. P. Evstaf'ev
1381
Homolytic isomerization of 1-fluoro-1,1-dichlor-2-bromopropene
R. Kh. Freidlina, V. N. Kost, T. T. Vasil'eva, A. N. Nesmeyanov
1385
Secondary aromatic polynuclear structure of lignin
M. I. Chudakov
1389
6-Azacytidine and its derivatives
F. Šorm, V. P. Chernetskii, S. Chládek, I. Veselý, I. Smrt
1393

PHYSICAL CHEMISTRY
The use of the flow method in studying the kinetics of the catalytic oxidation of propylene to acrolein
V. M. Belousov, Ya. B. Gorokhovatskii, M. Ya. Rubanik, A. V. Gershingorina
1396
Thermodynamic properties of iron-tellurium alloys in the solid state
V. A. Geiderich, Ya. I. Gerasimov, A. V. Nikol'skaya
1399
An investigation of the mechanism underlying the anode formation of ozone from sulfuric acid solutions
V. A. Lunenok-Burmakina, A. P. Potemskaya, A. I. Brodskii
1402
The influence of the magnetic field on the motion of particles in electrolyte solutions
V. A. Myamlin, V. A. Kibardin, Yu. Ya. Gurevich
1405
Interaction between weak pressure waves and the flame front
S. S. Novikov, Yu. S. Ryazantsev
1409
Spread of mercury over a free zinc surface, as connected with the study of strength reduction by adsorption
B. D. Summ, Yu. V. Goryunov, N. V. Pertsov, E. D. Shchukin
1413
The manifestation of autonomy by electron groupings in the luminescence spectra of complex molecules
D. N. Shigorin, N. A. Shcheglova, N. S. Dokunikhin
1416
The kinetics of diphenyl-$m$-tolyl carbinol reduction by isopropyl alcohol through hydride transition in the $\mathrm{H}_2\mathrm{SO}_4$$\mathrm{H}_2\mathrm{O}$ system
S. G. Entelis, R. P. Tiger, G. V. Epple, N. M. Chirkov
1420


D. L. Berman
1262

 Dokl. Akad. Nauk SSSR, Volume 138 (1961)

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