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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)

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

 Dokl. Akad. Nauk SSSR, Volume 139 (1961)

 Dokl. Akad. Nauk SSSR, Volume 140 (1961)

 Dokl. Akad. Nauk SSSR, Volume 141 (1961)

 Dokl. Akad. Nauk SSSR, Volume 142 (1962)

 Dokl. Akad. Nauk SSSR, Volume 143 (1962)

 Dokl. Akad. Nauk SSSR, Volume 144 (1962)

 Dokl. Akad. Nauk SSSR, Volume 145 (1962)

 Dokl. Akad. Nauk SSSR, Volume 146 (1962)

 Dokl. Akad. Nauk SSSR, Volume 147 (1962)

Dokl. Akad. Nauk SSSR, Volume 148 (1963)

Number 1
MATHEMATICS
Uniform distribution of points on a sphere and certain ergodic properties of solutions of linear ordinary differential equations in a complex domain
V. I. Arnol'd, A. L. Krylov
9
On absolute convergence of a power series in two variables
V. A. Belyaev
13
The cluster set of functions pseudo-analytic in the unit circle
V. I. Gavrilov
16
The continuous dependence on the initial data of the solution of the first boundary-value problem for a parabolic equation with negative time
R. Ya. Glagoleva
20
On the imbedding theorem of S. L. Sobolev for abstract functions
A. H. Gudiev
24
On the stability of certain numerical algorithms inverting regular difference equations
A. V. Ivanov
28
Homotopy properties of the group of diffeomorphisms of the sphere
S. P. Novikov
32
Infinite groups of mappings defined by differential equations
L. V. Ovsyannikov
36
Rings with injective cyclic modules
L. A. Skornyakov
40
A criterion for the solvability of the Dirichlet problem for elliptic equations
S. I. Khudyaev
44

CYBERNETICS AND THE REGULATION THEORY
On a class of Turing machines
N. V. Beljakin
47
Rectifier networks
É. I. Nechiporuk
50

MECHANICS
A contribution to the general theory of reduced velocities in tangential coordinates
D. Mangeron, E. Croitoru
54

FLUID MECHANICS
Dynamic explosion of equilibrium in certain ideal media when the temperature gradient is zero
N. N. Kochina
57
The motion of gas behind an unsymmetric piston
M. P. Mikhailova
61

THE MECHANICS OF CONTINUOUS MEDIUM
On theory of complex media
D. D. Ivlev
64

PHYSICS
A contribution to the theory of radiation formation of electron-positron pairs on a nucleus
N. F. Nelipa
68
X-ray determination of the diamagnetic susceptibility of certain ionic and semiconducting compounds
N. N. Sirota, N. M. Olekhnovich
71
Stability of stationary states of quantum generators
B. I. Stepanov
74

CHEMISTRY
Decay of solid solutions of niobium and and titanium in chromium
N. V. Ageev, M. S. Model
84
The state of water molecules in aqua compounds containing salts of certain elements
S. N. Andreev, T. G. Balicheva
86
An investigation of infrared spectra in polymorphous transformation of tristearin
L. B. Arutyunova, G. B. Ravich
89
The hydration kinetics of Portland clinker minerals in hydrothermal treatment
P. P. Budnikov, S. M. Royak, Yu. S. Malinin, M. M. Mayants
91
The dipole moments of the radical and of the molecule: diphenyl nitrogen oxide and diphenyl hydroxylamine
A. L. Buchachenko, E. N. Gur'yanova, L. A. Kalashnikova, M. B. Neiman
95
The kinetics of propyl gallate auto-oxidation in aqueous solution
L. S. Vartanyan, L. M. Strigun, N. M. Emanuel'
97
Joint action of radiation and oxide catalysts on the dehydrogenation of cyclohexane
V. I. Vladimirova, G. M. Zhabrova, B. M. Kadenatsi, V. B. Kazanskii, G. B. Pariiskii
101
The influence of a high pressure on the structural trend of tertiary butyl benzene phenylation
M. G. Gonikberg, N. I. Prokhorova, E. F. Litvin
105
Infrared-spectroscopy investigation of the mechanism underlying the formation of aqueous high molecular tungstates
V. Ya. Kabanov, Vikt. I. Spitsyn
109
Interaction of uranium oxides with vanadium and niobium
L. M. Kovba, Wang Shi-hua, E. I. Sirotkina
113
Production and properties of hexachlorocyclohexyl-chlorosilanes
G. V. Motsarev, A. Ya. Yakubovich, V. R. Rozenberg
116
Catalytic properties of organic polymers with a system of conjugate bonds. Formation of hydroperoxides by the oxidation of alkylaromatic hydrocarbons and of cyclohexane
S. Z. Roginskii, A. A. Berlin, L. N. Kutseva, R. M. Aseeva, L. G. Cherkashina, A. I. Sherle, N. G. Matveeva
118
The kinetics and mechanism of the initiation of ethylene polymerization on a soluble complex Zigler-type catalyst
L. P. Stepovik, A. K. Shilova, A. E. Shilov
122

PHYSICAL CHEMISTRY
Investigation of organotin compounds by the method of Messbauer resonance absorption of $\gamma$-quanta
A. Yu. Aleksandrov, N. N. Delyagin, K. P. Mitrofanov, L. S. Polak, V. S. Shpinel'
126
Mechanochemical transformations in macromolecules at $80^\circ$ K
P. Yu. Butyagin
129
Electric oxidation of formic acid and its salts on a rotating platinum electrode
Yu. B. Vasil'ev, V. S. Bagotskii
132
Autooscillation frequency in electrolytic systems
A. Ya. Gokhshtein
136
Radiation-chemical oxidation of potassium ferrocyanide in aqueous solutions
A. V. Egunov, P. I. Dolin
140
Calculation of single-separation coefficient for certain exchange reactions
E. M. Kuznetsova, Z. V. Gryaznova, G. M. Panchenkov
144
The role of the primary protective film in the process of oxidation of metals in aqueous solutions
L. Lepin', A. Lokenbakh
148
On the ionization of oxygen upon palladium
Yu. A. Mazitov, K. I. Rosental', V. I. Veselovsky
152
Regularities of transition from self-inflammation to ignition
A. G. Merzhanov, V. G. Abramov, V. T. Gontkovskaya
156
The surface properties of $\mathrm{CaF}_2$-based melts
Yu. P. Nikitin, V. G. Korpachev, A. N. Safronnikov
160
Two-dimensional pressure and the ability of lowering the evaporation of water from monomolecular layers in normal and secondary hexadecanol mixtures
A. A. Trapeznikov, V. A. Ogarev
162

Number 2

MATHEMATICS
The Dirichlet problem for an equation with a Monge–Ampère operator
I. Ya. Bakelman, I. Ya. Guberman
247
Small periodic perturbations in a structurally stable autonomous system
L. N. Belyustina
251
Periodic solutions of equations in differential operators with a small parameter multiplying the derivative
Yu. G. Borisovich
255
Differential properties of the solutions of certain higher-order differential equtions
Ya. S. Bugrov
259
On the remainder in Merten's formula
A. I. Vinogradov
262
Tensor fields on the $n$-sphere
N. I. Glazunov
264
Relations between the radii of the inscribed and circumscribed spheres of a closed, convex surface
V. K. Ionin
268
On the Cauchy problem for parabolic equations with a small parameter
E. K. Isakova
271
Involution transformations and the method of successive approximations for elliptic equations
A. I. Koshelev
274
A three-spheres theorem
E. M. Landis
277
An integral limit theorem for large deviations
S. V. Nagaev
280
The relation between small changes in a system of differential equations and the corresponding point mapping
Yu. I. Neimark
281
On the error in numerical integration
V. M. Solodov
284
Duality of functors
A. S. Schwarz
288
Semigroups with a modular lattice of subsemigroups
L. N. Shevrin
292

CYBERNETICS AND THE REGULATION THEORY
A method of converting a multiseries code into a singleseries one
V. M. Khrapchenko
296

ASTRONOMY
The atmosphere of Venus as investigated by optical methods
G. V. Rozenberg
300

PHYSICS
The topological structure of space and the mass spectrum of elementary particles
I. G. Ivanter
303
Inclusion of Coulomb interaction effects in the thermodynamics of superconductivity
V. A. Moskalenko
307
A contribution to the theory of double Compton effect on an electron
N. F. Nelipa
311
The use of cavity resonators for liquid level measurements
L. G. Palevich
314
The generation threshold of an optical generator as dependent on the properties of the resonator
A. M. Samson, B. I. Stepanov, L. D. Khazov
317
A certain generalization of the Einstein gravitation equations
K. P. Stanyukovich
321

CHEMISTRY
Freezing induced increase in the sensitivity of luminescent reactions for cations with organic reagents in solution
E. A. Solov'ev, E. A. Bozhevol'nov
335
New data on the $\mathrm{C}_5$-dehydrocyclization kinetics of hydrocarbons
O. V. Bragin, A. L. Liberman
338
The equilibrium diagram of $\mathrm{Ni}$$\mathrm{C}$
A. A. Vertman, A. M. Samarin, E. S. Filippov
342
An investigation of benzene and phenol oxidation by pernitrous acid of salicyl aldehyde oxidation by Fenton's reagent
N. A. Vysotskaya
344
The kinetics of chlorine atom substitution reaction in certain aryl-$\beta$-chlorovinylketones
T. A. Kudryavtseva, N. M. Chirkov, N. K. Kochetkov
347
Organic derivatives of kaolin
E. V. Kukharskaya, Yu. I. Skorik, N. G. Boiko
350
Carbonium polymerization of polyesteracrylates
T. È. Lipatova, A. A. Berlin
353
The thermodynamic properties and crystallochemical characteristics of zinc ferrite solid solutions with magnetite
G. P. Popov, M. I. Simonova, T. A. Ugolnikova, G. I. Chufarov
357

PHYSICAL CHEMISTRY
Ferromagnetism of organic structures
L. A. Blumenfeld
361
Ferrites of the $\mathrm{MgO}$$\mathrm{MnO}_t$$\mathrm{Fe}_2\mathrm{O}_3$ system added with $\mathrm{Sc}_2\mathrm{O}_3$
D. E. Bondarev, Yu. V. Basikhin
365
High elasticity, shear strength and development of a steady viscous flow in fluid polymers
G. V. Vinogradov, I. M. Belkin, V. A. Kargin
369
The influence of impurities on the excitation of vibrations of oxygen molecules at high temperatures
N. A. Generalov
373
A new type of hydrogen exchange in the photolysis of some organic compounds
M. G. Kuz'min, I. V. Berezin
377
A problem of local thermal explosion
A. G. Merzhanov, V. V. Barzykin, V. T. Gontkovskaya
380
Association of polybutadiene macromolecules in various solvents
I. Ya. Poddubnyi, E. G. Erenburg, E. P. Chernova-Ivanova, G. G. Kartasheva
384
Formation of excited formaldehyde molecules upon low-temperature oxidation of acetaldehyde
V. F. Shuvalov, R. F. Vasil'ev, L. M. Postnikov, V. Ya. Shlyapintokh
388


A. O. Ivanov, K. S. Evstrop'ev
246

Yu. A. Arbuzov, L. K. Lysanchuk
246

Number 3

MATHEMATICS
On the theory of boundary-value problems for general elliptic systems
L. R. Volevich
489
Bases in spaces of continuous functions
V. I. Gurarii
493
Solution of a one-dimensional mixed problem by the Fourier method for quasi-linear second-order hyperbolic equations
A. I. Guseinov, K. I. Khudaverdiev
496
Complete systems and bases in spaces of functions analytic in Hartog's domains
S. A. Eremin, A. F. Shadrov
500
On linear Diophantine approximations
B. Karimov
504
On quasi-projective classes of models
S. R. Kogalovskii
505
Extremal problems for analytic functions with positive real parts, satisfying some additional conditions
A. N. Kochetkov
508
Some questions on the oscillation of solutions of linear differential equations
A. Yu. Levin
512
A power boundary layer in problems with a small parameter
S. A. Lomov
516
On certain classes of functions
R. G. Mamedov
520
On systems of differential equations with constant coefficients
V. P. Palamodov
523
Some theorems on stabilizing the solution of the Cauchy problem for parabolic equations
V. D. Repnikov
527
Energy inequalities for elliptic operators with discontinuous coefficients and for general boundary conditions and conjugacy conditions
Ya. A. Roitberg, Z. G. Sheftel
531
Application of a method of successive approximations to the solution of certain types of functional equations
S. V. Simeonov
534

CYBERNETICS AND THE REGULATION THEORY
A method of constructing an algorithm simulating a given production process
I. S. Lyubchenko, I. E. Maizlin
538

THEORY OF ELASTICITY
Plasticity bands under tensile force applied to plates with fissure like concentrator
M. Ya. Leonov, P. M. Vitvitskii, S. Ya. Yarema
541

MATHEMATICAL PHYSICS
The three-dimensional problem of diffraction by a prism
V. A. Borovikov
545
Contribution to the theory of compensating fields
G. A. Sokolik
549

PHYSICS
On the forces of intermolecular interaction as determined from a study of vibratory relaxation in oxygen
N. A. Generalov, S. A. Losev
552
Formation of $\mathrm{Zr}^{97}\mathrm{Cl}_4$ when fission fragments are slowed down in chlorine containing gases
I. I. Zvara, L. K. Tarasov, M. Krzhivanek, Su Hong-gui, T. S. Zvarova
555
Combined magneto-electric dipole transitions in the spectra of crystals made up of alcali fluorides with hexavalent uranium
A. A. Kaplyanskii, N. A. Moskvin
558
Analytic properties of the meson-nucleon vertex part and scattering amplitudes of pseudoscalar mesons in perturbation theory
M. A. Mestvirishvili, I. T. Todorov
562
The microwave spectrum of the $\mathrm{F}_2\mathrm{HC}$$\mathrm{CDHF}$ molecule
I. A. Mukhtarov
566
Potential functions of molecules in the homologous series $(\mathrm{CH}_3)_n\mathrm{SiF}_{4-n}$ ($n=1-4$)
I. F. Kovalev
569

GEOPHYSICS
Hydrodynamic calculation of orographic cloudiness in a stable and in an unstable atmosphere
Kh. N. Zeytunyan
585

CHEMISTRY
Thermal stability of sodium alumohydride
T. N. Dymova, N. G. Eliseeva, M. S. Selivokhina
589
Interconversions of cis- and trans- 1,2-dimethylcyclopentanes in the presence of platinum catalysts
A. L. Liberman, O. V. Bragin, G. K. Gur'yanova, B. A. Kazanskii
591
An investigation of ion exchange in $\mathrm{HF}$ solutions. Group separation of elements by means of ion exchange resins
M. K. Nikitin
595
Reaction of the methyl esters of mono- and dicarboxylic acids of ferrocene with $\alpha$- and $\gamma$-magnesium halogenalkylsilanes
A. D. Petrov, E. B. Sokolova, G. P. Bakunchik
598
Isotripolyhalides very similar in property to alkali metals and their use in the purification of rubidium compounds from cesium
V. E. Plyushchev, S. B. Stepina, L. I. Lepeshkova
601

PHYSICAL CHEMISTRY
Conductivity mechanism in organic semiconducting polymers
A. V. Airapetyants, R. M. Voitenko, B. È. Davydov, B. A. Krentsel'
605
The additivity of the free activation energies of gaseous free-radical reactions
I. V. Berezin
609
The influence of radioactive emission from $\mathrm{Na}_2\mathrm{WO}_4$ and $\mathrm{Na}_2\mathrm{SO}_4$ on the phase transformations of these compounds
I. E. Mikhailenko, Vikt. I. Spitsyn
613
Solution and passivation of titanium in sulphuric acid upon polarization by alternating current
Yu. N. Mikhailovskii
617
The photoconductivity kinetics of acetylene polymeres
V. S. Myl'nikov
620
The crystal structure of isotactic polymethylmetacrylate as betrayed by infrared absorption spectra
V. N. Nikitin, N. V. Mikhailova
624
Compensation effect for the electric conductivity of crystalline dielectric polymers
B. I. Sazhin, N. G. Podosenova
627
The influence of cadmium ions on the adsorption of hydrogen upon palladium coated platinum electrode
D. V. Sokol'skii, N. A. Zakarina, G. D. Zakumbaeva
630
Photochemical and radiation-chemical reduction of silver perchlorate in the presence of organic substances
I. S. Shchegoleva, A. V. Egunov, T. S. Glückman, V. Ya. Dain
633


E. I. Zverovich, G. S. Litvinchuk
488

Number 4

MATHEMATICS
Optimal values and points of a non-linear function
I. A. Bakhtin
741
A theorem on homeomorphisms and local increase of smoothness up to the boundary for solutions of elliptic equations
Yu. M. Berezanskii, S. G. Krein, Ya. A. Roitberg
745
The homogeneous problem for the directional derivative for harmonic functions in three-dimensional regions
A. V. Bitsadze
749
On the length of a cycle in an $n$-dimensional unit cube
Yu. L. Vasil'ev
753
On the equation $\frac{d\varphi}{dt}=f-\alpha$ in phase space
M. I. Grabar'
757
The applicability of the Fourier method to the solution of a mixed problem for a class of quasi-linear hyperbolic equations
A. I. Guseinov, K. K. Gasanov
761
Analysis and synthesis of rings of type $C$
H. Mirkil, K. de Leeuw
765
Variants of the classical predicate calculus with a unique tree of deduction
V. A. Matulis
768
Interpretation of logical formulae by finite problems and its relation to the theory of realizability
Yu. T. Medvedev
771
On the structure of factor representations of a locally compact group
M. A. Naimark
775
An axiomatic definition of the entropy of a transformation with invariant measure
V. A. Rokhlin
779

THEORY OF ELASTICITY
A two-dimensional problem concerned with the elastic collision of rods
M. A. Malkov
782
Some principal regularities in static strength variation at the sites of stress concentration
G. V. Uzhik, P. F. Koshelev
786

ASTRONOMY
Deflection of light rays in the gravitational fields of galaxies
Yu. G. Klimov
789

PHYSICS
Non-elastic interactions of protons with nucleons at 9-Bev energy
N. P. Bogachev, E. L. Grigor'ev, Yu. P. Merekov
793
An investigation of the production of particles in inelastic pion-nucleon interactions
A. Kh. Vinitskii, I. G. Golyak, V. I. Rus'kin, Zh. S. Takibaev
796
Consideration of superfluid effects in $\alpha$-decay to the vibration levels of the daughter nuclei
M. K. Volkov, T. Veresh
799
Stabilization of the “universal” instability of slightly inhomogeneous plasma with relativistic electrons in a magnetic field
G. M. Zaslavsky
803
Integral representation of vertex part in perturbation theory
Liu Yi-chen, I. T. Todorov
806
An investigation of injuries caused by electrons in objects subjected to electron microscope study
I. G. Stoyanova, T. P. Morozova
810
Invariant charge and Regge asymptotic behavior
D. V. Shirkov
814

CRYSTALLOGRAPHY
On the theory of ideal crystal growth
A. L. Roitburd
821

CHEMISTRY
The energy of the bond between organogene elements and the surface of oxide catalysts
A. A. Balandin, A. A. Tolstopyatova, V. A. Naumov
825
The composition of alcohols obtained by liquid-phase oxidation of naphthene hydrocarbons
A. N. Bashkirov, A. I. Kistanova
829
Solubility and composition of solid phases in the $\mathrm{HF}$$\mathrm{UO}_3$$\mathrm{H}_2\mathrm{O}$ system
Yu. A. Buslaev, N. S. Nikolaev, I. V. Tananaev
832
The hydrogenation kinetics of polycyclic hydrocarbons
I. V. Kalechits, A. S. Nakhmanovich
835
The structure and dual reactivity of $\mathrm{N}$-ethyleneminocarbinols
R. G. Kostyanovsky, V. F. Bystrov
839
The synthesis of tris (triphenylsiloxy) aluminium and tetra (triphenylsiloxy) sodiumpolyalumoxane
A. P. Kreshkov, L. V. Myshlyaeva, D. A. Soboleva
843
Production of halogen anhydrides of $\alpha$, $\beta$-alkenylphosphoric acids
I. F. Lutsenko, Z. S. Kraits, M. V. Proskurnina
846
The lactones of Phellodendron sacchalinense (Fr. Schmidt) Sarg
G. K. Nikonov, R. K. Veremei
850
Autooxidatiori of $p$-dicyclohexylbenzene
I. N. Novikov, S. V. Zavgorodnii
853
The synthesis of symmetric 3,4-bis (dialkylaminomethyl)-furans
K. Yu. Novitskii, Yu. K. Yuriev, V. N. Zhingareva, E. F. Egorova
856
Catalytic synthesis of 7-azaoctahydropyrrocolines
A. A. Ponomarev, I. M. Skvortsov
860
The possibility of phenyl-radical isomerization in benzoyl peroxide reactions
G. A. Razuvaev, B. G. Zateev
863
Computation of the rotation of optically active organomercury compounds and the stereochemistry of the addition of mercury salts to defines
V. I. Sokolov, O. A. Reutov
867
The synthesis of 2,3-dimercaptopropylamine and its $\mathrm{N}$-mono- and $\mathrm{N},\mathrm{N}'$-dialkylderivatives
V. M. Fedoseev, A. G. Tarasenko, L. Mrazek, A. B. Silaev
871
The synthesis of some triethylsilyl substituted alkylphosphinic acids and their esters
E. A. Chernyshev, E. F. Bugerenko, A. D. Petrov
875
The structure of 2-aminothiazoline
Yu. N. Sheinker, E. M. Peresleni, A. I. Kol'tsov, N. M. Bazhenov, M. V. Vol'kenshtein
878

PHYSICAL CHEMISTRY
Potentiometric measurements in various media
S. T. Bezverkhova, A. T. Lukyanov, D. V. Sokol'skii
881
The influence of the radioactivity of molybdic anhydride on the variation of its specific surface area
I. E. Zimakov, N. P. Dobroselskaya, Vikt. I. Spitsyn
884
The influence of low-molecular substances sorbed by supermolecular structures on the mechanical properties of rigid-chain polymers
P. V. Kozlov, V. G. Timofeeva, V. A. Kargin
886
Wustite decay kinetics
O. K. Shabalina, G. I. Chufarov
890

Number 5

MATHEMATICS
A theorem on universal coefficients for spectral cohomology groups of differential groups
M. Bockstein
997
The order of growth of $\varepsilon$-entropy on certain classes of functions
Yu. A. Brudnyi, B. D. Kotlyar
1001
Construction of nomograms for equations of the first kind with three variables
A. M. Bukhvalov
1005
Indecomposable measures in dynamical systems
M. I. Grabar'
1009
The simplest solvable extensions of ultrahyperbolic and pseudoparabolic operators
A. A. Dezin
1013
On essential and zero-dimensional mappings
A. Zarelua, Yu. Smirnov
1017
On a third-degree Diophantine equation
V. P. Myakishev
1020
Uniqueness of the solution of a boundary-value problem for a convex domain
S. M. Nikol'skii
1022
On the Cauchy problem for an interated linear differential-operator equation
M. N. Olevskii
1026
The uniqueness of the solution of the Cauchy problem for differential-operator equations
L. N. Prokopenko
1030
General boundary-value problems for elliptic equations with discontinuous coefficients
Ya. A. Roitberg, Z. G. Sheftel
1034
A scale of spaces with an interpolation property
E. M. Semenov
1038
Quadrature and interpolation formulas for tensor products of certain classes of functions
S. A. Smolyak
1042

PHYSICS
Cross-section for the formation of $\mathrm{Li}^8$ in a nuclear emulsion by 9 Bev. protons
N. P. Bogachev, E. L. Grigor'ev, Yu. P. Merekov
1046
New neutron deficient isotopes of rare-earth elements from the cerium group
A. K. Lavrukhina, G. M. Kolesov
1047
Solution by electric computor of the problem of motion of interacting particles carrying like charges in a “magnetic bottle”
S. P. Lomnev
1049
Luminescence of the uranyl-phthalocyanin complex
G. N. Lyalin, G. I. Kobyshev
1053
The development of electric discharge in aqueous electrolytes
N. P. Melnikov, G. A. Ostroumov, M. Yu. Stoyak
1057
Determination of isobaric states in models with a fixed nucleon
A. R. Frenkin
1060

CRYSTALLOGRAPHY
Polymorphous transition from single crystal to single crystal in para-dichlorobenzene
A. I. Kitaigorodskii, Yu. V. Mnyukh, Yu. G. Asadov
1065
Location of hydrogen atoms in the structure of $\mathrm{Li}_2\mathrm{SO}_4\cdot\mathrm{H}_2\mathrm{O}$ by means of neutron diffraction patterns
R. P. Ozerov, L. E. Fykin, N. V. Rannev, G. S. Zhdanov
1069

CHEMISTRY
Alcaloids from the globethistle (Ephinops sphaerocephalus L.)
A. I. Ban'kovskii, M. E. Perelson, V. A. Shevelev
1073
Hydrogen bond studies by means of nuclear magnetic resonance. I. The effect of steric hindrances on the hydrogen bond in diorthoalkylphenols
V. F. Bystrov, K. M. Dyumaev, V. P. Lezina, G. A. Nikiforov
1077
A new glycoside, the reoselin, from the resin of the roots of Ferula pseudoreoselinum (Rgl et Schmalh.) K. Pol.
N. P. Kiryalov, S. D. Movchan
1081
$\beta$-Oxyalkylalkylenephosphites – a new type of phosphorous acid esters
L. V. Nesterov, R. A. Sabirova, N. E. Krepysheva, R. I. Mutalapova
1085
Syn-anti-isomerism of the 3-arylhydrazones of 6-methylpiperidinedione-2,3
M. N. Preobrazhenskaya, N. V. Uvarova, Yu. N. Sheinker, N. N. Suvorov
1088
The action of phosgene on acetylmethylene derivatives of heterocyclic bases and some reactions between the compounds thereby formed
N. N. Sveshnikov, I. I. Levkoev, N. I. Shirokova, N. A. Damir
1091
Production of carbonyl monomers on the basis of Mannich's reaction
M. I. Farberov, G. S. Mironov
1095

PHYSICAL CHEMISTRY
The entropy of systems containing scarcely, distinguishable components
Yu. S. Varshavskii, A. B. Sheinin
1099
The possible reason for the asymmetry of doublet components of Mossbauer's absorption spectrum in certain powdery tin compounds
S. V. Karyagin
1102
Depassivating action of halogen ions on iron-base alloys
Ya. M. Kolotyrkin, G. V. Golovina, G. M. Florianovich
1106
Express microanalysis of chemical elements by the moving boundary method
B. P. Konstantinov, O. V. Oshurkova
1110
The influence of fluorine ions on the anode solution of indium amalgam and certain regularities in electrode processes involving complexes
V. V. Losev, A. I. Molodov
1114
On the theory of monomolecular reactions in solids
V. I. Osherov
1118
Certain problems in the theory of porous electrodes
A. G. Pshenichnikov
1121
The optical and photoelectric properties of magnesium phthalocyanine as influenced by electron accepting additives
E. K. Putseiko
1125
The structure of the surface layer of a pure liquid as related to the surface and volume properties of the liquid
F. Ya. Reznik
1129
Periodicity of isotopic exchange in diatomic molecules
A. M. Rozen, A. I. Mikhaĭlichenko
1133
Recombination of hydrogen atoms on the surface of platinum
I. N. Frantsevich, V. A. Lavrenko
1137
The nature of the hydrogen bond in systems containing $\pi$-electrons and its influence on the proton magnetic resonance
D. N. Shigorin, N. N. Shapetko, A. P. Skoldinov, T. S. Ryabchikova
1141
Emulsion polymerization with initiation by surface-active substances
A. I. Yurzhenko, V. A. Vil'shanskii
1145


B. M. Shain
996

Number 6

MATHEMATICS
Generalization of a theorem of A. F. Timan
Yu. A. Brudnyi
1237
Extension of smoothness to solutions of differential equations of smooth type
V. V. Grushin
1241
Unified methods of transmission of information for discrete channels without memory and for communications with independent components
R. L. Dobrushin
1245
Some properties of averaged functions
V. G. Evstigneev
1249
Solution of systems of equations in one unknown in free groups
A. A. Lorencs
1253
Qualitative description of strong resonance in a nonlinear system
V. K. Mel'nikov
1257
On the Lebesgue function of a linear approximation process
N. M. Pavlovskii
1261
Sign-preserving conditions for the Green's function of a Sturm–Liouville problem
S. A. Pak
1265

CYBERNETICS AND THE REGULATION THEORY
Information theoretical conditions for invariance of linear control systems
I. D. Kochubievskiy, G. M. Ulanov
1268

FLUID MECHANICS
Determination of the shape and parameters of the shock front caused by an explosion in an inhomogeneous medium
V. P. Korobeinikov, V. P. Karlikov
1271

MATHEMATICAL PHYSICS
Representation of imaginary parts of amplitudes for many-particle intermediate states
A. M. Brodskii
1275

PHYSICS
Quantum oscillations of magnetic resistance in $n$-$\mathrm{InSb}$ in strong pulsed magnetic fields
Kh. I. Amirkhanov, R. I. Bashirov, Yu. È. Zakiev
1279
Vlasov's equation for crystals
I. P. Bazarov
1283
The structure of a magnetic toroidal field having no magnetic surfaces
I. M. Gel'fand, M. I. Graev, N. M. Zueva, M. S. Mikhailova, A. I. Morosov
1286
On solving the equation of rain drop coagulation with allowance for condensation
A. M. Golovin
1290
Energy transmission from an uranyl cation to phthalocyanin in solution and in the state of adsorption
G. I. Kobyshev, G. N. Lyalin, A. N. Terenin
1294
Resonance oscillation relaxation of a system of harmonic oscillators
E. E. Nikitin
1298

GEOPHYSICS
Measurement of the electrostatic field strength at the surface of geophysical rockets
I. M. Imyanitov, G. L. Gdalevich, Ya. M. Shvarts
1306

CHEMISTRY
Oxidation of monomethyl substituted paraffins in the liquid phase in the presence of boric acid
A. N. Bashkirov, E. M. Shaikhutdinov, L. A. Gilyarovskaya
1309
Infrared absorption spectra of propenyllithium stereoisomers
A. N. Nesmeyanov, A. E. Borisov, N. V. Novikova, N. A. Chumaevskii
1312
ESR spectra and the regrouping of the radical formed on the oxidation of ionol $\mathrm{CD}_3$
V. D. Pokhodenko, L. N. Ganyuk, E. A. Yakovleva, A. I. Shatenshtein, A. I. Brodskii
1314
Gas-chromatographic estimation of nitrogen and oxygen in organic compounds
A. P. Terent'ev, A. M. Turkel'taub, E. A. Bondarevskaya, L. A. Domochkina
1316
Some products obtained by splitting albonursin, $\mathrm{C}_{23}\mathrm{H}_{25}\mathrm{N}_3\mathrm{O}_3$
A. S. Khokhlov, G. B. Lokshin
1320
On the kinetics of interaction between acid chloranhydrides and amines
S. G. Entelis, O. V. Nesterov
1323

PHYSICAL CHEMISTRY
The temperature coefficient of the rate of burning of explosives and powders as dependent on the pressure
A. F. Belyaev, G. V. Lukashenya
1327
Thermodynamical test for the applicability of the potential theory of adsorption
B. P. Bering, V. V. Serpinskii
1331
Electron-accepting power of metal halides and carbonium ions
D. S. Bystrov, B. K. Nazarov
1335
Mechanism of electrodeposition of titanium from aqueous solutions
N. T. Kudryavtsev, R. G. Golovchanskaya
1339
Relationship between the mechanical properties of sulphocationite grains and the establishment of pseudoequilibrium states when organic ions are sorbed on these grains
G. S. Libinson, E. M. Savitskaya
1343
Kinetics of a catalytic exchange of deuterium between steam and hydrogen on various surfaces
M. L. Nakhmanovich, N. M. Morozov, L. G. Buadze, M. I. Temkin
1346
The influence of the deformation rate on the deformation value and strength of oriented glass plastics
A. L. Rabinovich, A. V. Turazyan
1350
Equilibrium constant in isotopic exchange as dependent on the bond energy of molecules and the atomic masses
A. M. Rozen, A. I. Mikhaĭlichenko
1354
The reactivity of isomer decanols, intermediates of $n$-decane oxidation process
I. P. Skibida, Z. I. Kulitzkii, Z. K. Maizus
1358
The mechanism of water transfer in capillary-porous bodies
N. V. Churaev
1361


E. V. Zolotareva
1236

G. A. Kurkchi, A. V. Iogansen
1236

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