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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)

 Dokl. Akad. Nauk SSSR, Volume 149 (1963)

 Dokl. Akad. Nauk SSSR, Volume 150 (1963)

 Dokl. Akad. Nauk SSSR, Volume 151 (1963)

 Dokl. Akad. Nauk SSSR, Volume 152 (1963)

 Dokl. Akad. Nauk SSSR, Volume 153 (1963)

 Dokl. Akad. Nauk SSSR, Volume 154 (1964)

 Dokl. Akad. Nauk SSSR, Volume 155 (1964)

 Dokl. Akad. Nauk SSSR, Volume 156 (1964)

 Dokl. Akad. Nauk SSSR, Volume 157 (1964)

 Dokl. Akad. Nauk SSSR, Volume 158 (1964)

 Dokl. Akad. Nauk SSSR, Volume 159 (1964)

 Dokl. Akad. Nauk SSSR, Volume 160 (1965)

 Dokl. Akad. Nauk SSSR, Volume 161 (1965)

Dokl. Akad. Nauk SSSR, Volume 162 (1965)

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


A. N. Nesmeyanov, G. G. Dvoryantseva, N. S. Kochetkova, R. B. Materikova, Yu. N. Sheinker
9

Number 2

MATHEMATICS
Construction of a complete set of solutions of the homogeneous Dirichlet problem for the equation of the oscillations of a string
R. A. Aleksandryan
247
On a class of interpolation polynomials with movable nodes
V. S. Videnskii
251
On the continuous product of Lebesgue spaces
V. G. Vinokurov
255
Convergence of positive functional and operators
M. A. Krasnosel'skii, V. S. Klimov, E. A. Livshitz
258
Functors in categories of Banach spaces, defined by KV-spaces
V. L. Levin
262
Asymptotic behavior of solutions of linear systems with small perturbations
V. M. Millionshchikov
266
Certain properties of unconditional bases
V. D. Milman
269
New examples of four-dimensional manifolds
V. A. Rokhlin
273
Some remarks on the types of $n$-dimensional parallelehedra and on the density of latticed coverings of the space $E^n$ by equal spheres
S. S. Ryshkov
277
Characteristic coefficients of random distributions
O. V. Sarmanov
281
The univalence of a class of meromorphic functions
P. Todorov
285
Asymptotic behavior in a one-dimensional scattering problem
M. V. Fedoryuk
287
The approximation of functions by polynomials with constraints
N. I. Chernykh
290
On saddle surfaces bounded by a rectifiable curve
S. Z. Shefel'
294

AERODYNAMICS
Probabilistic description of a random process of movement of a rarified gas
S. V. Vallander
297

FLUID MECHANICS
Phase permeabilities when two-phase systems are flowing through a porous medium
A. E. Evgen'ev
300
An optimal magnetohydrodynamic generator
A. S. Pleshanov
302

PHYSICS
The sign of the photocurrent carrier charge as determined by the condenser method
I. A. Akimov, A. M. Meshkov
306
Non-additive entropy of a thermally inhomogeneous system
V. S. Imshennik
310
The role of the diffusion of inverted population in the generation of induced radiation
B. L. Livshits, V. N. Tsikunov
314

GEOPHYSICS
The influence of inertia on the precipitation of aerosol particles from a flow in the case of precritical Stokes numbers
L. M. Levin, Yu. S. Sedunov
316
Variations of the mass of ice-cover in the centre of Greenland
P. A. Shumsky
320

CRYSTALLOGRAPHY
New ferroelectrics with the structure of perovskite and pyrochlore
A. S. Viskov, Yu. N. Venevtsev, G. S. Zhdanov
323
Polymorphism in organic molecular crystals
Yu. V. Mnyukh, M. A. Tseneva
326

CHEMISTRY
The possibility of determining microquantities of adsorbed organic compounds by oscillopolarographic method with stepped polarization voltage
M. R. Vyaselev, H. C. Budnikov, Yu. P. Kitaev
331
The synthesis and polymerization of the cyclotetrasiloxanes containing heterocyclic radicals with a silicon atom
A. A. Zhdanov, K. A. Andrianov, V. A. Odinets, I. V. Karpova
335
The potassium and sodium salts of bis-diphenylphosphinylmethane and their reactions with aldehydes
M. I. Kabachnik, T. Ya. Medved', E. I. Matrosov
339
Chemical shift and activity of dienophile in diene synthesis
A. I. Konovalov
343
Transformations of $\beta$-($\mathrm{N}$-ethylenimino)-ethylsilanes at elevated temperatures in the presence of nucleophile and electrophile reactants
N. S. Nametkin, I. A. Grushevenko, V. N. Perchenko
347
Mercuration of phosphonium salt – a new type of quasicomplex compounds
Nik. A. Nesmeyanov, V. M. Novikov
350
The structure of thalmine and thalmidine
M. V. Telezhenetskaya, S. Yu. Yunusov
354
Spectropolarimetric behaviour of $\alpha$-phenylethyl amides of pyridinecarboxylic acids
A. P. Terent'ev, V. M. Dem'yanovich, L. A. Golovleva, A. N. Kost
356
The influence of ethylene oxide or of amines on the chain transfer with a mediator in the telomerization of ethylene tetrachloride by carbon
R. Kh. Freidlina, E. Ts. Chukovskaya, Yu. P. Chizhov
359
Synthesis of $\alpha$-ethoxy-acrylic aldehyde
M. F. Shostakovskii, N. A. Keiko
362

PHYSICAL CHEMISTRY
The influence of strong electrostatic fields on the structure of the polymer formed in the polymerization of methylmetacrylate
Yu. B. Amerik, B. A. Krentsel', M. V. Shishkina
364
Self-inflammation in systems with not branching chain reactions
A. A. Borisov, S. M. Kogarko, G. I. Skachkov
366
Polymer mixtures investigated by means of radiothermoluminescence
N. Ya. Buben, V. I. Gol'danskiĭ, L. Yu. Zlatkevich, V. G. Nikol'skii, V. G. Raevsky
370
The role of hydrogen in the dehydrogenation of cyclohexane on platinum
V. A. Druz, N. I. Utegulov, D. V. Sokol'skii
373
On the activation of iron by halogen ions
Ya. M. Kolotyrkin, L. I. Freiman
376
Isotope-exchange sorption of tritium from aqueous solutions under dynamic conditions
V. V. Rachinskii, L. A. Lenskii
380
The thermodynamical properties of austenite as connected with its structure
I. A. Tomilin
384

Number 3

MATHEMATICS
Finding the common point of convex sets by the method of successive projection
L. M. Brègman
487
The behavior of a holomorphic function near an essential singularity
V. I. Gavrilov
491
On the indicator of functions of non-integral order, analytic and of completely regular growth in a half-plane
N. V. Govorov
495
The application of the method of the variation of a parameter to the construction of iteration formulae of heightened precision for the determination of numerical solutions of non-linear integral equations
D. F. Davidenko
499
Positive-definite functions on a group of matrices with elements from a discrete field
A. A. Kirillov
503
The asymptotic behavior as $t\to\infty$ of solutions of certain non-stationary boundary problems
V. P. Mikhailov
506
On the theory of weight classes of differentiable functions of several variables and its applications to boundary problems for elliptic equations
Yu. S. Nikol'skii
510
Closed ideals in a countably-normed algebra of entire analytic functions
P. K. Rashevskii
513

CYBERNETICS AND THE REGULATION THEORY
The construction of cyclic noise-stable codes and the analysis of their correcting properties
S. I. Samoilenko
516
The decomposition of regular expressions in terms of a basis, and its applications
M. A. Spivak
520

FLUID MECHANICS
A linearised problem of flow of an incompressible fluid about a permeable wedge with separation of streamlines
M. T. Bekulov
523

PHYSICS
Determination of the ruby $R_1$-line oscillator at $78^\circ$ K by means of Rozhdestvenskii's hooks
N. K. Bel'skii, D. A. Muhamedova
527
Optical method of forming a $p$$n$-transition
V. A. Drozdov, Sh. D. Kurmashev, A. L. Rvachev
530
A Gibbs ensemble locally in equilibrium, and its connection with the theory of fluctuation and transfer phenomena
D. N. Zubarev
532
Stabilization of certain instabilities when plasma is moving across a magnetic field
E. G. Lariontsev
536
Determination of the critical temperature of a superconductor with electrical impurity
V. A. Moskalenko, M. E. Palistrant
539
Specific heat of black phosphorus at low temperatures
I. E. Paukov, P. G. Strelkov, V. V. Nogteva, V. I. Belyi
543
A certain effect attending nuclear reactions on single crystals and its use in different physical investigations
A. F. Tulinov
546

GEOPHYSICS
Application of the piezoelectric effect of rocks to underground prospecting of piezoelectric bodies
M. P. Volarovich, G. A. Sobolev
556
The structure of the upper portion of the Earth mantle, form observations of earthquakes with intermediate depth of foci
A. A. Lukk, I. L. Nersesov
559

CRYSTALLOGRAPHY
The crystal structure of $\mathrm{Bi}$-molybdate $\mathrm{Bi}_2[\mathrm{MoO}_4]_3$
K. M. Mekhtiev, R. S. Gamidov, Kh. S. Mamedov, N. V. Belov
563

CHEMISTRY
Electron diffraction study of the molecular structure of phenylcyclopropane
L. V. Vilkov, N. I. Sadova
565
Infrared and nuclear-magnetic-resonance spectra of triterpenoids isolated from ginseng
A. K. Dzizenko, M. Yu. Nefedova, G. B. Elyakov
569
Interaction of dialkylamides of dialkylphosphorous acid with aldehydes
V. P. Evdakov, L. I. Mizrakh, L. Yu. Sandalova
573
The mechanism of the elementary act of extraction of intracomplex compounds
Yu. A. Zolotov
577
Plenylmercury derivatives of substituted 2-phenylsulfonylaminopyridines
D. N. Kravtsov
581
Polymerization of 3,4-benzo-1,1-dimethylsilicacyclopentane
N. S. Nametkin, V. M. Vdovin, E. Sh. Finkelshtein, K. S. Konobeevskii, V. D. Oppenheim
585
Esterates of trihalogermanes investigated by nuclear magnetic resonance spectroscopy
O. M. Nefedov, S. P. Kolesnikov, V. I. Sheichenko, Yu. N. Sheinker
589
Glass formation in the systems containing complexons
A. V. Nikolaev, V. A. Logvinenko, N. N. Knyazeva
593
The nature of the systems of conjugate bonds in coals
R. N. Smirnov, N. M. Karavaev
597
Promoting the skeleton nickel catalyst by oxygen-containing anions of transition metals
A. B. Fasman, T. Kabiev, D. V. Sokol'skii, T. A. Yagudeev
600
Quaternary salts of $\beta$-chlorovinyl derivatives of heterocyclic bases as acting on certain carboand dimethinemerocyanine dyes
N. I. Shirokova, N. N. Sveshnikov, I. I. Levkoev
603
An investigation of the Corydalis gortschakovii and Corydalis pseudoadunca alkaloids
M. S. Yunusov, S. T. Akramov, S. Yu. Yunusov
607
Initiated heterogeneous-catalytic reactions
Ya. T. Eidus, N. I. Ershov
610

PHYSICAL CHEMISTRY
A generalized scheme for the hydrolysis of the borohydride ion and diborane
K. N. Mochalov, V. S. Khain, G. G. Gil'manshin
613
Variation of the electron work function when oxygen is adsorbed on a silver catalyst
L. A. Rudnitskii, N. V. Kul'kova
617

Number 4

MATHEMATICS
Theorems of Phragmén–Lindelöf type for a second-order linear elliptic equation
G. N. Blokhina
727
On the behaviour of the solutions of the equations of hydrodynamics as the Reynolds number passes through a critical value
N. N. Brushlinskaya
731
New results in the Goldbach–Euler problem and the twin-prime problem
A. A. Buchstab
735
Concerning the form of extremal non-negative polynomials whose coefficients are subject to several linear relations
I. A. Grigor'eva
739
On the application of the method of variation of a parameter to the construction of iterative formulae of higher accuracy for matrix inversion
D. F. Davidenko
743
On graphs of a special type
Yu. L. Ziman
747
A difference method and the uniqueness of the generalised solution for the Tricomi problem
L. I. Kovalenko
751
On the theory of topological groups
V. P. Platonov
755
On estimates for the growth of solutions of partial differential-difference equations of hyperbolic type
Z. I. Rekhlitskii
759
Regularisation methods for optimal control problems
A. N. Tikhonov
763
Constructive locally convex linear topological spaces
Phan Đìni Diêu
766
On locally finite semigroups
L. N. Shevrin
770

ASTRONOMY
Radioastronomic investigations and the ionosphere of Venus
A. D. Danilov
774

PHYSICS
The ion-electron emission of single crystals as dependent on the target temperature
V. M. Agranovich, D. D. Odintsov
778
The dynamics of optical quantum generators with two types of oscillation
N. G. Basov, V. N. Morozov, A. N. Oraevsky
781
Uncollisional current convection and its dynamic stabilization
V. V. Vladimirov
785
A contribution to the theory of the voltage-current characteristic of a thin film triode
M. I. Elinson, V. B. Sandomirskiĭ
789
The neutronization of matter on collapse and the neutrino spectrum
Ya. B. Zel'dovich, O. Kh. Guseinov
791
Transfer processes in the systems of particles with internal degrees of freedom
D. N. Zubarev
794
The repelling interaction potentials of noble gas atoms
A. B. Kamnev, V. B. Leonas
798
Photoconductivity in germanium alloyed with V group elements when the photon energies are lower than the admixture ionization energy
T. M. Lifschitz, F. Ya. Nagy
801

HEAT ENGINEERING
The mechanism of salt distribution between water and its vapor at equilibrium, as investigated by measuring electric conductivity
M. A. Styrikovich, O. I. Martynova, Z. S. Belova
806

CHEMISTRY
A new single-stage way of synthesizing steroid cis-$16\alpha$; $17\alpha$-diols from $\alpha$-ketooxides
A. A. Akhrem, V. A. Doubrovskii, A. V. Kamernitskii, A. M. Moiseenkov
811
Selective hydrogenation of dimethylacetylenylcarbinol on palladium black in the presence of cadmium ions
N. A. Zakarina, G. D. Zakumbaeva, D. V. Sokol'skii
814
The splitting of the $\mathrm{C}$$\mathrm{C}$-bond in ketones and alcohols of the barene series under the action of bases
L. I. Zakharkin
817
The role of soluble organoaluminium compounds in the polymerization of isoprene by a complex catalyst
A. A. Korotkov, G. N. Petrov, A. G. Razina, L. A. Anufrieva
821
Polymerization of 1,1,3,3-tetraphenyl 1,3-disilicacyclobutane
N. S. Nametkin, V. M. Vdovin, V. I. Zav'yalov
824
Reaction of ethylchlorophosphine with $\alpha$, $\beta$-unsaturated acids
V. K. Khairullin
827
Infrared absorption spectra and structure of thiourea dioxide
Yu. Ya. Kharitonov, I. V. Prokof'eva
829
On the mechanism underlying the alkylation of phenols by higher defines in the presence of cation-exchange resins
O. N. Tsvetkov, K. D. Korenev, S. A. Dmitriev, N. M. Karavaev
833

PHYSICAL CHEMISTRY
Polarization difractometric investigation of the formation of supermolecular structure in a solution of spiral polypeptide
V. G. Baranov, T. I. Volkov, S. Ya. Frenkel'
836
New data on electric puncture of aluminium suspension in dielectrics
L. G. Gindin, A. E. Vol'pyan, I. F. Galkin, V. E. Gul'
839
Isotopic exchange of cyclobutane with deuterium on evaporated metal films
B. S. Gudkov, A. A. Balandin, E. P. Savin
843
Infrared spectra of carbon monoxide adsorbed on ruthenium, rhodium and palladium within a wide temperature range
N. N. Kavtaradze, N. P. Sokolova
847
The electronmicroscope method of studying the supermolecular structure of polymers in solution
V. A. Kargin, N. F. Bakeev, S. Kh. Fakirov, A. L. Volynsky
851
Stereochemical approach to the investigation of the geometry of the active surface of catalysts
E. I. Klabunovskii, A. A. Balandin, R. Yu. Mamedzade
853
Spontaneous transition of burning into detonation in pure acetylene at low pressures
S. M. Kogarko, A. G. Lyamin, V. A. Mikhailov
857
The effect of the ultrasound on the coagulation structure of the aqueous dispersions of kaolinite and monothermite
N. N. Kruglitskii, V. V. Simurov, V. V. Minchenko, F. D. Ovcharenko, S. P. Nichiporenko
861
Mass-spectrometric detection of reactions between highly excited hydrogen atoms and ethylene molecules
S. E. Kupriyanov
865
Rheological relations when an elasticviscous medium is moving in a field of constant longitudinal velocity gradient
A. I. Leonov, G. V. Vinogradov
869
The upper limit of inflammation in an unbranched chain reaction
B. V. Pavlov
873
Theory of the hardening of ionization processes in gas jets
Yu. S. Sayasov
875

Number 5

MATHEMATICS
On conditions for non-linear stability of plane stationary curvilinear flows of an ideal fluid
V. I. Arnol'd
975
On a non-linear problem with a free boundary
I. I. Danilyuk
979
On the complete regularity of multi-dimensional stationary processes with discrete time
I. A. Ibragimov
983
On the principle of limiting amplitude for certain plane boundary problems
E. K. Isakova
986
A generalised solution of the Tricomi problem
L. I. Kovalenko
988
On the height of simple Lie algebras
A. I. Kostrikin
992
On lower bounds for entire functions of finite order and on the convergence of Dirichlet polynomials
I. F. Krasichkov
995
On two problems posed by Mardeshich
I. K. Lifanov
997
The local structure of Darboux surfaces
I. Kh. Sabitov
1001
On the order of convergence of cubature formulae
S. L. Sobolev
1005
On the continuation of Hölder continuous functions
T. A. Timan
1009
The metrizability, normability and multinormability of constructive locally convex spaces
Phan Đìni Diêu
1011

CYBERNETICS AND THE REGULATION THEORY
Amortization payments under optimal use of equipment
L. V. Kantorovich, J. V. Romanovsky
1015

MECHANICS
A method for determining the dynamic stress-strain relation with an inflexion point
K. A. Kerimov
1019

MATHEMATICAL PHYSICS
An application of the WKB -method for the asymptotic solution of equations
L. I. Ponomarev
1023

PHYSICS
On the mechanism underlying the polymorphous transformation of graphite into diamond
L. F. Vereshchagin, Ya. A. Kalashnikov, E. M. Feklichev, I. V. Nikol'skaya, L. M. Tikhomirova
1027
The influence of noise radiation on the operation of ruby quantum generator
B. I. Stepanov, A. N. Rubinov, S. A. Mikhnov
1030
On the quantum theory of the decay of unstable elementary particles
L. A. Khalfin
1034

GEOPHYSICS
The structure of 4–6-second microseisms
L. P. Vinnik
1041
The basic distribution law of the parameters of natural magnetization in igneous rocks
A. G. Komarov
1045

CRYSTALLOGRAPHY
Shapes of crystal growth and crystal structure of $\mathrm{YCl}(\mathrm{OH})_2$
R. F. Klevtsova, P. V. Klevtsov
1049
The crystal structure of rubidium orthofluoroberyllate $\gamma$-$\mathrm{Rb}_2\mathrm{BeF}_4$
N. M. Mustafaev, V. V. Ilyukhin, N. V. Belov
1053

CHEMISTRY
The organic catalysts. The reduction of fluorenone with 2,6-dimethyl-3,5-dicarboethoxy-1,4-dihydropyridine
A. S. Astakhova, M. L. Khidekel'
1057
Labelled-atom investigation of the stereospecific polymerization of butadiene in an aqueous medium in the presence of rhodium chloride
B. D. Babitskii, V. A. Kormer, I. Ya. Poddubnyi, V. N. Sokolov, N. N. Chesnokova
1060
Organophosphorus derivatives of azetidine. Phosphoric acid azetidides
N. P. Grechkin, R. N. Khamitov
1063
Radiolysis of $\mathrm{Co}(\mathrm{III})$ aquacomplexes
L. N. Neokladnova, G. A. Shagisultanova
1065
Selective splitting of the phosphoamide bond in adenylyl-$(5'\to\mathrm{N})$-peptides
T. S. Ryabova, Z. A. Shabarova, M. A. Prokof'ev
1068
The opening of the cycle and the inverse cyclization of perhalogenized amines under the influence of aluminium and antimony halides
S. V. Sokolov, S. A. Mazalov
1071
The synthesis of $3$-vinylquinuclidine
L. N. Yakhontov, L. I. Mastafanova, S. L. Portnova, M. V. Rubtsov
1075

PHYSICAL CHEMISTRY
Structural transformations in crystallizing glasses investigated by means of ultraviolet absorption spectra
L. G. Baiburt, A. A. Gorbachev, A. V. Levitina
1079
Radiation-chemical oxidation of potassium iodide in solutions saturated with nitrous oxide
S. A. Brusentseva, D. D. Dobrev, V. N. Shubin, P. I. Dolin
1083
A new type of polymeric dispersions
V. I. Eliseeva, K. M. Zurabyan, A. L. Zaides
1086
Zero line in vacantchromatography as a basis of continuous doseless analysis
A. A. Zhukhovitskii, L. M. Lapkin, A. A. Datskevich
1089
On the artificial nuclei for the crystallization of polymers
V. A. Kargin, T. I. Sogolova, I. I. Kurbanova
1092
A new method in the experimental study of the desorption of surface active substances from liquid phase separation boundaries
R. A. Kulman
1095
Orbital hybridization of halogen atoms in hydrocarbonhalogen compounds and the length of hydrocarbon-halogen bonds
B. M. Mikhailov
1097
On the inhibition mechanism of ethylene polymerization on chromium oxide catalysts
Yu. I. Pecherskaya, V. B. Kazanskii
1101
Adsorption of certain metal ions from electrolytes when germanium, silicon and quarts are being etched in them
V. S. Sotnikov, A. S. Belanovskii
1105

Number 6

MATHEMATICS
The Gibbs phenomenon for certain summation processes for Fourier series
S. A. Agahanov, G. I. Natanson
1215
Connected rings
V. A. Andrunakievich, Yu. M. Ryabukhin
1219
Asymptotic representation of the spectral matrix of a fourth-order differential operator
M. . Barnovska
1223
The algebraic structure of the field of Siegel modular functions
S. G. Gindikin, I. I. Pyatetskii-Shapiro
1226
An optimal cubature grid for bilateraly smooth functions of two variables
B. N. Delone, N. N. Sandakova, S. S. Ryshkov
1230
On the invariant framing of some surfaces of a special kind in projective space
Yu. I. Ermakov
1234
On a problem of B. V. Gnedenko
A. A. Zinger
1238
The topological equivalence of certain cones in a Banach space
M. I. Kadets
1241
The decomposition of a representation of a reductive Lie algebra into representations of its regular reductive subalgebras of maximal rank
V. B. Mandelzweig
1245
The homotopy and topological invariance of certain rational Pontrjagin classes
S. P. Novikov
1248
On $(\omega,p)$-mappings of topological spaces
V. I. Ponomarev
1252
Certain results on infinitesimal deformations of surfaces “in the small” and “in the large”
I. Kh. Sabitov
1256
The convergence of approximate integration formulae on functions in the class $L_2^{(m)}$
S. L. Sobolev
1259

PHYSICS
The role of the finite volume of molecules in the interruption broadening theory of spectral lines in gases
A. I. Burshtein, Yu. I. Naberukhin
1262
Spherical aberration of a combined quadrupole lens with a rectangular field distribution
A. D. Dymnikov, T. Ya. Fishkova, S. Ya. Yavor
1265
Mobility of electrons in $\mathrm{HgTe}$
V. I. Ivanov-Omskii, B. T. Kolomiets, V. K. Ogorodnikov, K. P. Smekalova
1269
Processes about cold cathodes of an arc discharge
G. I. Leskov, K. K. Khrenov
1271
The problem of the foundations of statistical physics and the quantum theory of decay
L. A. Khalfin
1273

CRYSTALLOGRAPHY
Crystal structure of dumortierite $(\mathrm{Al},\mathrm{Fe})_7\mathrm{O}_3[\mathrm{BO}_3][\mathrm{SiO}_4]_3$
N. I. Golovastikov
1284
The crystal structure of rinkite $\mathrm{Na}(\mathrm{Na},\mathrm{Ca})_2(\mathrm{Ca},\mathrm{Ce})_4(\mathrm{Ti},\mathrm{Nb}) [\mathrm{Si}_2\mathrm{O}_7]_2(\mathrm{O},\mathrm{F})_2\mathrm{F}_2$
Li Tê-yü, V. I. Simonov, N. V. Belov
1288

CHEMISTRY
The electric conductivity of alkyl-lithium solutions investigated in connection with the polymerization process
A. Kh. Bagdasar'yan, V. M. Frolov, E. I. Tinyakova, B. A. Dolgoplosk
1293
The behaviour of styrene and phenylacetylene in a platinum catalyst
T. M. Beloslyudova, D. V. Sokol'skii
1297
The optical properties of substituted benzene as influenced by the substituents separated from the benzene ring by the aliphatic chain
V. M. Berenfeld, V. A. Krongauz
1300
An investigation into the cobalt-carbon and nickel-carbon systems
A. A. Vertman, V. K. Grigorovich, N. A. Nedumov, A. M. Samarin
1304
Electronographic investigation of the molecular structure of phenylmonochlorosilane
L. V. Vilkov, V. S. Mastryukov
1306
An investigation into the thermal dissociation of calcium phosphate in a mixture with silicon
S. I. Vol'fkovich, R. G. Aziev
1310
Correlation between Taft's $\sigma^*$-constants and the information entropy in aromatic substitution reactions
Yu. A. Zhdanov
1314
Thermochemical investigation of the extraction of nitric acid with tributylphosphate
A. V. Nikolaev, Yu. A. Afanas'ev, V. B. Durasov
1317
The influence of the carriers on the direction of the acid catalytic isomerization of pinene
G. A. Rudakov, M. M. Shestaeva, L. S. Ivanova
1320
On the polarization of imides of unsaturated dicarboxylic acids
T. V. Sheremeteva, G. N. Larina
1323

PHYSICAL CHEMISTRY
The arrangement of zones in precipitation chromatograms
V. V. Rachinskii, A. A. Lur'e
1326
Kinetics of oxygen adsorption on silver at low pressures
L. A. Rudnitskii, N. V. Kul'kova
1330
Photochemical reactions on complex oxalates as investigated by means of electronspin resonance
G. A. Shagisultanova, L. N. Neokladnova, A. L. Poznyak
1333


S. N. L`vov, V. F. Nemchenko, T. Ya. Kosolapova, G. V. Samsonov
1214

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