Geodesic

Sommaire du Fascicule no. 1

On the problem of periodical solutions of non-linear systems with a small parameter
p. 9-11
On a problem raised by N.\,N.~Lusin
p. 12-15
The matrix elements of irreducible unitary representations of the group of real orthogonal matrices and group of Euclidean
p. 16-19
Systems of singular integral convolution equations
p. 20-23
Solution of a certain class of singular integral equations with line integrals
p. 24-27
Conditions for a complete continuity of the resolvent of a differential operator
p. 28-31
Some Tauberian theorems for generalized Fourier transformations
p. 32-35
On sets of points where the derivative is $+\infty$ or $-\infty$ correspondingly
p. 36-38
On equivalency and transformations of program schemes
p. 39-42
On a mechanical transformer
p. 43-45
Some problems of dynamics of Moon flight
p. 46-49
On the solution of Veriguin's problem
p. 50-53
On a generalization of the deflection accumulation theory and its use for determining autooscillations in generators
p. 54-57
On the periodicity of a jet coming out of a symmetrical nozzle under rated conditions
p. 58-61
On the origin of meteoritic chondrules
p. 62-64
Angular and energy distribution of fast photoprotons from $\mathrm{Ni}$ and $\mathrm{Al}$
p. 65-67
The Fermi fields and spinors of a space of an infinite number of dimensions
p. 68-70
On the division of the cathode spot of an electric arc
p. 71-74
The triple division of uranium on fast particles
p. 75-77
The examination of the domain structure of a ferromagnetic by means of photoelectrons
p. 78-81
On certain factors influencing the rate of propagation of elastic vibrations in rocks
p. 82-85
On extension of the theory of steady currents in a shallow sea to the case where the coefficient of vertical exchange is a variable
p. 86-89
Investigation of organic derivatives of selenic acid and telluric acid, as analytical reagents
p. 105-108
Electrolysis of $\mathrm{CaO}$ -- $\mathrm{Al}_2\mathrm{O}_3$ -- $\mathrm{SiO}_2$ melts
p. 109-111
Reduction dimerization of derivatives of $\alpha$, $\beta$-unsaturated acids
p. 112-115
The interaction of benzylpyridinium chloride with cyclopentadienyllithium
p. 116-119
Thermal telomerization of trichlorosilane with ethylene
p. 120-122
The polymerization of 2,3-dimethylbutene-2, 2,3-dimethylbutene-1 and 3,3-dimethylbutene-1 at pressures up to 4000 atm
p. 123-126
Surface tension of ternary metal solutions $\mathrm{Hg}$ -- $\mathrm{Cd}$ -- $\mathrm{K}$ at $22^\circ$
p. 127-129
On the diffusion of active centres in the volume when there is a quadratic rupture of chains
p. 130-133
Development of crystallization structures in tricalcium aluminate suspensions
p. 134-137
Regularities in the capture of copper, antimony, lead, cobalt, iron and zinc admixtures by a cathode deposit of tin
p. 138-141
Поправки к~статье В.\,С.~Кирпичникова, А.\,Н.~Световидова, А.\,С.~Трошина, ``Мечение карпа радиоактивными изотопами
Поправки к~статье ``Упругое рассеяние $\gamma$-квантов с~энергией до 120 Мэв протонами'' (ДАН, т.~111, \No~5, 1956~г.)
Поправки к~статье ``Зависимость сечений фотообразования $\pi^0$-мезонов от массовых чисел ядер'' (ДАН, т.~112, \No~1, 1957~г.)

Sommaire du Fascicule no. 2

An instance of a sequence of linear positive operators in the space of continuous functions
p. 249-251
On the number of arithmetical operations in solving Poisson’s equation for a square by means of finite differences
p. 252-254
Lyapunov’s norms in linear spaces
p. 255-257
On the problem of general anamorphosis
p. 258-260
Unhomogeneous strong Markov processes
p. 261-263
On the separability of subsets of $n$-dimensional unit cube vertices
p. 264-267
On a certain class of singular integral equations
p. 268-271
Cross-sections of twofold fiber spaces
p. 272-275
On Pontrjagin characteristic classes
p. 276-279
On extremal problems for differentiable functionals in the theory of schlicht functions
p. 280-282
On matrix schemes
p. 283-286
Integrability of equations of motion of a solid around a fixed point under the action of a central Newtonian field of force
p. 287-290
On the influence of initial irregularities on the stability of cylindrical shells under external pressure
p. 291-293
Approximate solution of elastic-plastic problems of the theory of ideal plasticity
p. 294-296
On solving the translation equation for strongly anisotropic scattering
p. 297-300
On calculating time correlation functions! for statistical systems consisting of long-range interacting particles for
p. 301-304
Full cross-sections $\sigma_t$ for $E_n=14,8$ Mev neutrons as measured by counting $(n,\alpha)$-coincidences
p. 305-306
Theoretical foundations for calculating the ice drift in the Central Arctic basin
p. 307-310
Equivalent transformations of relay circuits of class~$\mathrm P$
p. 328-331
On lanthanum sulphides
p. 333-334
On bond energy values between nickel catalysts and various elements of organic compounds
p. 335-338
A new method for the production of tropilium and methyltropilium compounds
p. 339-342
Synthesis of 4-alkyl-l-azadehydroquinolizinium salts
p. 343-346
On noncoplanar nature of phenyl nuclei in diphenyl derivatives
p. 347-350
Kinetics and mechanism of the liquid phase oxidation of dibenzyl and dicyclohexylethane
p. 351-354
On the mechanism of oxidation transformations of methyl alcohol, formaldehyde and formic acid in the vapour phase
p. 355-357
A new substitution reaction of alcohol hydroxyl for fluorine and its use
p. 358-360
On monotropic transformation of spodumene
p. 361-363
On the electrolytic dissociation of tin and antimony complex compounds
p. 364-365
On the interaction of tetrahydrofuran with silicon tetrachloride
p. 366-367
An investigation of the specific heat of water and steam in the critical region
p. 368-371
On the nature of thermal transformations in alkali borosilicate glass
p. 372-375
On the thermodynamics of the dephosphoration of iron
p. 376-379
On arboriform cracks in plexiglass, developed under the action of electronic radiation
p. 380-382
Gas medium in coal-breaking destruction processes
p. 383-386
Письмо в~редакцию

Sommaire du Fascicule no. 3

Contribution to the theory of radicals in associative rings
p. 487-490
On equiconvergence of Fourier--Chebyshev and Maclaurin expansions of analytical $H_2$ class functions
p. 491-492
On a certain general test of basis
p. 493-496
A ruled surface geometry analogue to a triorthogonal system of surfaces
p. 497-500
A contribution to the theory of Hausdorff transformations
p. 501-502
The solution of Cauchy problem and boundary value problem for nonlinear equations in the discontinuous functions class
p. 503-506
On the conditions defining the objects of affine connectivity in Riemannian space
p. 507-508
Flow past a circular cylinder with a detached shock wave
p. 509-512
Kirchhoff's discontinuous bounded flow past a family of curves
p. 513-516
Sonic gas flow past ellipses
p. 517-519
A variation problem in the gas dynamics of axially symmetrical supersonic flows
p. 520-522
Impact at an infinite plate lying on elastic liquid semispace
p. 523-526
Approximate solution of problems of small elastic-plastic deformations
p. 527-528
Dispersion relations for Compton scattering on nucleons
p. 529-532
On a function of the angular and latteral distribution of particles in the cascade shower maximum
p. 533-536
$n,\alpha$-Reactions of 14 Mev neutrons with cadmium
p. 537-540
On the source function in the theory of radiative transfer
p. 541-543
The application of the variation principle to the Ising model of an antiferromagnetic
p. 544-547
The probability of electron capture by neutral atoms on triple collisions
p. 548-549
An investigation of the optical contact between mica and glass
p. 550-552
Differential cross-sections for elastic collision of neutrons with $E_n=14,8$ Mev energy, as determined from
p. 553-555
The shape of the brightness distribution stationary diagram as dependent on the ratio of absorption and scattering coefficients
p. 556-559
Growth in length of high wind waves and the role of turbulent internal friction
p. 560-563
A polarographic study of the tautomerism and geometrical isomerism of some arylhydrazones
p. 577-580
On reaction between organic hydroxysilanes and isocyanates. The synthesis of organosilicic urethanes
p. 581-584
On the stereochemistry of catalytic active complexes
p. 585-587
Conditions for addition of aromatic amines to acrylonitrile
p. 588-589
Alkylation of aromatic compounds by diene hydrocarbons. Alkenylation of anisole by piperylene
p. 590-593
Production of aliphatic dialkylaminoalcohols from thiophene derivatives
p. 594-597
Sulphochlorinat ion of methane by sulphurous anhydride and chlorine gases
p. 598-600
Production of $\mathrm C$ -- $\mathrm C$-derivatives of $l$-arabinose
p. 601-603
The conditions for the formation of organic solid solutions
p. 604-606
On the mechanism of the alkylation of alcohols by $\mathrm N$-trimethyl-$\alpha$-phenethylammonium iodide
p. 607-609
On the question of how the colour of organic compounds is affected by their internal hydrogen bonds
p. 610-613
$\beta$-Butylthiophane, isolated from petroleum occurring in the Tuimazin coal-bearing beds
p. 614-615
On the interaction of the lozitsch reagent with 3-chlorocyclopentene
p. 616-619
Allene-acetylene isomeric transformations in the silicon hydrocarbon series
p. 620-623
On vapour phase oxidation of styrene and $\alpha$-methylstyrene on tin vanadate
p. 624-626
Inquiries into the chemistry of piazothiole (3,4-bens-l ,2,5-thiodiazole)
p. 627-630
The polarization mechanism in the polarography of simple ions of nickel and cobalt
p. 631-634
Motion of liquids in narrow clearances between flat solids approaching
p. 635-638
Поправки к~статье В.\,H.~Иванова ``Мультипликативный интеграл и почти-периодическая матрица'' (ДАН, т.~109, \No~5, 1956~г.)
Поправки к~статье ``Метод трансплантации зигот в~изучении действия рентгеновских лучей на эмбриогенез млекопитающих'' (ДАН, т.~110, \No~2, 1956~г.)
Поправки к~статье `` Метод ионного удара и оценка сродства молекул к~протону''

Sommaire du Fascicule no. 4

On the solution of the biharmonic problem
p. 727-730
Some effective methods of solving Chebyshev's problems relative to the best approximation
p. 731-733
On elliptical equations containing small parameters in the terms with higher derivatives
p. 734-737
On a system of mathematical symbols, convenient for electronic computor operations
p. 738-741
Sufficient conditions for non-oscillatory or oscillatory nature of solutions of equation $y''+p(x)y=0$
p. 742-745
Coding and compression of codes
p. 746-747
On the number of limit cycles of equation $\frac{dy}{dx}=\frac{P(x,y)}{Q(x,y)}$, in which~$P$ and~$Q$
p. 748-751
On local infinite divisibility of Markoff processes
p. 752-755
On the reduction of quasi-unitary operators to a triangular form
p. 756-759
On automatic coding in programming language translation problems
p. 760-761
On local nomograms
p. 762-765
On air flow in mine workings where the goaf is present
p. 766-768
A method of solving unsteady gas flow equations with allowance for dissipative processes in the general theory of relativity
p. 769-772
The $\mathrm{Pd}^{111*}$ isomer
p. 773-776
On the variation principle applied to problems of a binary alloy and an Ising's system
p. 777-779
Optical systems with phase layers
p. 780-783
The specific heat of chain structures at low temperatures
p. 784-786
Measurement of electric current in the ocean
p. 787-790
On the mechanism and anormal run of E.~Fisher's reaction
p. 807-810
On the $\mathrm{Ni}_3\mathrm{B}$ compound in nickel-boron alloys
p. 811-812
The splitting of pyrazoline rings by the acylation
p. 813-816
On thermal stability of complexes formed by urea with organic compounds
p. 817-819
$\delta$-Lactones. Transformation of the dibromides of unsaturated $\delta$-lactones into bromine substituted $\delta$-ketone
p. 820-823
Production of rubidium and caesium glasses and investigation of some of their properties
p. 824-827
Homolytic isomerization of 1,1,1-trichloro-2-bromopropene
p. 828-831
The synthesis of nitryls from alcohols and ammonia on oxide catalysts
p. 832-835
Chemical structure and physical and chemical properties of hydrocarbons. New regularities and calculation methods
p. 836-838
Sulphoxidation of methane by gaseous sulphur dioxide and oxygen
p. 839-841
The correct form of the equation of capillary condensation in porous bodies, as used in determining their structure
p. 842-845
On the building up of a kinetic theory of gelation processes
p. 846-849
Rôle of hydrogen penetration in the corrosion fatigue of steel
p. 850-852
Photooxidation of water by dyes at the surface of semiconductors
p. 853-855
Formation of hydrocyanic acid under strong adiabatic compression of gas mixtures
p. 856-859
The effect of the medium the amount of hydrogen adsorbed on nickel-skeleton and platinum catalysts
p. 860-862
Поправки к~статье ``Нуклеиновые кислоты в~овогенезе и оплодотворении
Поправки к~статье ``Формирование световой стадии у~растений межвидовых гибридов пшеницы'' (ДАН, т.~110, \No~5, 1956~г.)

Sommaire du Fascicule no. 5

Re-establishment of the potential from the scattering matrix for a system of differential equations
p. 951-954
A~boundary problem for equation $\psi_{\sigma\sigma}-K(\sigma)\psi_{\theta\theta}=0$ values given on the characteristic and $\sigma=\operatorname{const}$ lines
p. 955-958
Conditions for the regularity of stochastic processes
p. 959-961
On some even order elliptic equations containing small parameters in higher derivative terms and degenerating
p. 962-965
Irreducible unitary representations of the group of third order matrices conserving an indefinite Hermite form
p. 966-969
On a continuous analogue of a Christoffel formula from the theory of orthogonal polynomials
p. 970-973
On ``determining statistics''; a generalization of the problem of moments
p. 974-976
The majorant principle and the method of tangent parabolas for non-linear functional equations
p. 977-979
Estimate of the dimension of the space of automorphic forms for certain types of discontinuous subgroups
p. 980-983
Inductive and projective limits with completely continuous mappings
p. 984-986
A generalization of the problem concerning the extreme intersection point of an axis with a convex polyhedron
p. 987-990
Determination of the class of convergence of interpolation series for certain problems
p. 991-994
On the relation between the smoothness moduli of functions given all along the axis of reals
p. 995-997
Recourse to the general theory of approximation methods in investigating the problem of determination of characteristic
p. 998-1001
On a class of integral functions
p. 1002-1005
On propagation of strong spherical blast wave in gas with heat conduction
p. 1006-1009
On the introduction of radiation in the problems of gas dynamics
p. 1010-1012
On the structure of planetary nebulae
p. 1013-1016
Concerning a theorem on the sum of oscillator forces for alkali metals
p. 1017-1019
On the photoconduction of violanthrone and pyranthrone
p. 1020-1022
The influence of electric field on the properties of thin dielectric and semiconductor layers
p. 1023-1024
On the determination of molecule volumes in solutions by means of polarized luminescence
p. 1025-1028
On the use of a difference type of electrostatic field in the spectroscopy of charged particle beams
p. 1029-1031
Cross-sections for $\mathrm{Cd}(n,p)\mathrm{Ag}$ reactions when the energy of the neutrons is 14 Mev
p. 1032-1034
Movement of ions of various gases through a thin silver foil
p. 1035-1038
On non-molecular scattering of light in high atmospheric layers
p. 1039-1042
More on the kinematics of sea waves
p. 1043-1045
On the appearance of wavy glide lines in silver chloride crystals
p. 1061-1062
Polymerization of 2-vinylpyridine and 2-vinylquinoline
p. 1063-1065
The study of the mechanism of alkylation of phenols by $\mathrm{N}$-trimethyl-$\alpha$-phenylethylammonium iodide
p. 1066-1069
Diagram of molybdenum recrystallization
p. 1070-1072
Complex compounds of lanthanum, cerium, praseodymium and neodymium with thiourea
p. 1073-1075
The alkylation of isopentane by propylene and isobutylene in the presence of various phosphoric acids containing fluorine and boron fluoride
p. 1076-1079
The tautomerism of acylated heterocyclic amines and its study by means of spectra
p. 1080-1083
$\delta$-Lactones. Production of acylated butyrolactones from $\gamma$-bromine-$\delta$-ketone acids
p. 1084-1087
On some chemical features of 2,6-dichloroderivatives of pyridine
p. 1088-1089
The kinetics of the dehydrogenation of alcohols over a copper catalyst deposit
p. 1090-1093
On certain laws in the diffusion burning of liquids
p. 1094-1097
Zero points of diluted sodium amalgams
p. 1098-1101
On complete X-ray dispersion study of graphite powders and colloid preparations
p. 1102-1105
Поправка к~статье ``Возрастные изменения содержания фенольных соединений

Sommaire du Fascicule no. 6

The role of the cancellation law in presenting cancellation semi-groups by means of defining relations
p. 1191-1194
On the means of moduli of analytical functions
p. 1195-1198
On complete systems and bases in $L_2$
p. 1199-1202
The Polya theorem for integral functions of two complex variables
p. 1203-1205
Method of orthogonal projections for a finite difference analogue of a system of equations
p. 1206-1209
On equations of the unsteady filtration type
p. 1210-1213
Second order invariants of the quaternary differential quadratic form
p. 1214-1217
On the H.~Cartan algebra of the polynomial ideal
p. 1218-1221
On the growth of the number of completely critical cyclic fields of degree $l^h$
p. 1222-1223
Absolute minimum in a two-dimensional parametric problem on a manifold
p. 1224-1226
The existence and uniqueness of solutions of boundary problems for non-linear ordinary differential equations
p. 1227-1230
Magnetic fields in planetary nebulae
p. 1231-1234
On the steady temperature of a flat plate placed in a flow of reacting gas mixture
p. 1235-1238
Tunnel effect in sulphide rectifiers
p. 1239-1242
On the spin value of the $\mathrm{Fe}^{57}$ nucleus
A longitudinal field $\beta$-spectrometer, whose spherical aberration is compensated by a transverse magnetic field
p. 1244-1247
On the fundamental relativistically invariant equation for a particle with spin $1/2$
p. 1248-1250
On the possible dipole moment of transition for $\Lambda$-particles
p. 1251-1254
On the record of electrotelluric field potential gradient at various depths in lake Baikal
p. 1255-1258
On the strong trans-influence of the hydroxygroup in trivalent cobalt dioximides
p. 1265-1268
Interaction between phosphorous acid esters and alkyl halides, studied by means of physical-chemical analysis
p. 1269-1271
The stability of calcium hydrosulphoaluminate in the portland cement stone
p. 1272-1275
The synthesis of the hexahydro-(3,4:3',4')-furofuran system, in the kernel of natural resinols
p. 1276-1279
On Kleisen's rearrangement in the allylarylsulphide series
p. 1280-1282
The study of the mechanism of alkylation of amines by $\mathrm{N}$-triinethyl-$\alpha$-phenylethylammonium iodide
p. 1283-1285
2,4-Dimethylpentadien-1,3 in the synthesis of alkanes with two quaternary carbon atoms separated by
p. 1286-1289
On a new compound in the $\mathrm{NaF}$--$\mathrm{AlF}_3$ system
p. 1290-1292
On the structure of organochromic compounds
p. 1293-1294
Production and analytical properties of tetra($\alpha$-thienyl)boric and tetra($p$-anisyl)boric salts of alkali metals
p. 1295-1298
The phases of the tungsten~-- boron system
p. 1299-1301
Photochemical sulphoxidation of $n$-heptane by gaseous sulphur dioxide and oxygen
p. 1302-1305
On the structure of hydroxamic acids and some of their derivatives by means of the infrared spectroscopy
p. 1306-1309
Kinetics of the physical adsorption of ethylene from mixtures
p. 1310-1313
Thermal decomposition kinetics and structure transformations in fossil coals
p. 1314-1317
The thermodynamics of propylene hydrochlorination
p. 1318-1320
Поправка к~статье ``Некоторые вопросы динамики полета к~Луне'' (ДАН, т. 113 \No~1, 1957~г.)