Geodesic

Sommaire du Fascicule no. 1

The convergence of Lagrange's interpolation process constructed for absolutely continuous functions and functions
p. 9-12
The Riemannian type of boundary problem for elliptical systems of first order differential equations
p. 13-15
Entropy of stochastic processes
p. 16-19
On the applicability of the method of finite differences to the solution of a boundary problem for a system of differential
p. 20-23
On the interrelation between the total and partial approximations in the mean for functions of many variables
p. 24-26
On reduced accelerations of any order in the theory of mechanisms and machines and on some of their extremum properties
p. 27-28
Some plane problems in the theory of thermal waves
p. 29-32
An investigation of explosion showers formed by cosmic particles of high energy
p. 33-36
Cross-sections for photoproduction of $\pi^0$-mesons as dependent on mass numbers of nuclei
p. 37-40
The fine structure and Lamb's shift of the $2s_{1/2}$ level for $T_\alpha$ tritium line $\lambda$ 6560 $\mathring A$
p. 41-44
On the r{\^o}le of bound states in photoproduction processes
p. 45-47
On the observation of the magnetic viscosity of ferrites at low temperatures
Precomputation of the field of the wind and its associated meteorological elements
p. 49-52
A method of $(1,k)$-pole synthesis
p. 55-57
The influence of second harmonics in the expansions of inductances and mutual inductances of the stator on the structure
p. 58-61
An algebraic method for the synthesis of many-cycle systems of $r$-position relays
p. 62-66
On nitroperfluoralkylnitrites
p. 67-69
Heat resistance of certain binary, ternary, four- and five-component nickel alloys at 800°
p. 70-72
The oxidative chlorination of methane
p. 73-76
The activity of zinc oxide in lead and copper slags during the fuming process
p. 77-78
The production and properties of some organosilicic $\beta$-alcohols ($\beta$-hydroxyalkyltrimethylsilanes)
p. 79-82
Sequence in the hydrogenation of cyclopentadiene double bonds on Pd- and Pt-black
p. 83-85
On the limit of stable flame propagation in gases at variable pressure
p. 86-89
Absorption spectra of alum solutions and isomorphous crystals, as related to chromium content
p. 90-92
On the role of stable intermediate products in complicated chain reactions
p. 93-96
Determination of the zero charge potential of lead dioxide electrodes by hardnes measurement
p. 97-99
Diffusive deposition of aerosols on a cylinder in a flow in the case of small capture coefficients
p. 100-103
The influence of sulphur on the interphacial tension at the metal-slag boundary
p. 104-106
Поправки к~статье A.\,В.~Топчиева, Н.\,С.~Наметкина, Т.\,И.~Чернышевой и С.\,Г.~Дургарьян
Поправки к~статье ``О~расчленении четвертичных каспийских отложений'' (ДАН, т.~110, \No~6 1956~г.)

Sommaire du Fascicule no. 2

On the stability of periodical solutions of quasilinear autonomous systems with many degrees of freedom
p. 183-186
On the straight line method for certain boundary problems involving systems of partial differential equations
p. 187-190
Operational calculations for functions defined on the entire straight line
p. 191-194
On Cauchy problem for linear elliptical equations of the second order
p. 195-197
The completeness of the system of eigenfunctions and adjoined functions of strongly elliptic systems of differential equations
p. 198-201
Theory of transmission of information through stochastic communication channels
p. 202-205
Asymptotic expansion for inhomogeneous Markov chains
On linear extrapolation of a discrete homogeneous random field
p. 207-210
On the dynamical explosion equilibrium
p. 211-212
The point explosion problem
p. 213-216
On the polarization of light in the zenith о ja twilight sky
p. 217-220
Thermal waves in a thin unbounded plate lying on a continuous homogeneous foundation
p. 221-223
On the solution of a problem for Schr\"odinger's equation in an infinite three-dimensional space
p. 224-227
On the photoluminescence of thallium chloride
p. 228-231
The production of positive pions in carbon by 308 Mev negative pions
p. 232-235
Meson-nucleon phases-shifts in the energy range to 310 Mev
p. 236-238
Protonic relaxation in $\mathrm H_2\mathrm O$ -- $\mathrm D_2\mathrm O$ mixtures containing paramagnetic ions
p. 239-240
Action of the adsorption of gases on the luminescence of zinc oxide
p. 241-244
On the atmospheric pressure numerical prediction by means of high-speed electronic computer
p. 245-248
Invariance up to~$\varepsilon$ in linear combined automatically controlled systems
p. 253-256
Reaction of chlorine substitution by alkoxygroups in dichloromethyldimethylchlorosilane and bis(chloromethyl) methylchlorosilane
p. 257-260
Some reactions of 1,4-dichlorobutanone-2
p. 261-263
New tropilium salts. Tropilium ion polarography
p. 264-266
The amination of chlorine rubber
p. 267-270
The thermal telomerisation of methyldichlorsilane with olefines
p. 271-272
An investigation of some VIII group metals as catalysts in the reaction of $\mathrm{RSiHCl}_2$ addition to unsaturated compounds
p. 273-275
Recrystallization diagram of zirconium iodide
p. 276-278
The polymerization of isobutilene in the presence of monofluophosphoric acid, difluophosphoric acid and a molecular
p. 279-282
The formation of nitrogen oxide by adiabatic compression of combustion mixtures
p. 283-286
Поправки к~статье ``Адсорбционное понижение прочности

Sommaire du Fascicule no. 3

On the uniqueness of the solution of Frankl’s problem for Chaplyguin’s equation
p. 375-376
Some problems concerning infinitesimal flexures of surfaces
p. 377-380
Direct method in the Cauchy problem for a quasi-linear hyperbolic equation involving two independent variables
p. 381-382
On $A$-integrals of Cauchy for contours
p. 383-385
Examples of solving the Dirichlet problem for equations of mixed type
p. 386-389
Projective invariant marks of a ruled surface belonging to a given congruence
p. 390-393
The similarity of sliding, vibrational and optimal conditions of motion in servomechanisms
p. 394-397
On some aerosol motions
p. 398-400
An investigation of the nuclear isomery of $\mathrm{Hf}^{180m}$
p. 401-404
Radioactive isotopes of the rare earths formed in a spallation reaction
p. 405-406
A theory of distant interaction between evaporating or growing drops
p. 407-410
On the interaction of antiprotons with nuclei
p. 411-413
The fine structure in the $\alpha$-decay of even-even nuclei
p. 414-417
Oxides of some $\alpha$-pinene derivatives and their isomerization
p. 427-429
New data on the relation between the structure of polysaccharides (cellulose) and the trend of chemical reactions
p. 430-432
Synthesis in the region of $\mathrm C$--$\mathrm C$-substituted carbohydrates
p. 433-435
Polymerization of unsaturated organo-germanic compounds
p. 436-438
The reduction of ferrocenecarboxylic acids
p. 439-440
Interaction between nitroolefines and compounds with active methyl groups
p. 441-444
Benzyliden derivatives of the hydrate form of $\alpha$-ketols, containing 1,3-dioxolan cycles
p. 445-448
On the mechanism of vulcanisation with 2-mercaptobensothiasole
p. 449-452
An approximate calculation of the surface tension of metals
p. 453-456
Activation energy of the elementary reaction $\mathrm{RO}_2+\mathrm{RH}$ in the oxidation of $n$-decane
p. 457-460
An electron microscopic investigation of the structure of globular graphite in cast iron
p. 461-463
The adsorption of vapours on gold surface
p. 464-466
On the polymorphism of bicalcium silicate
p. 467-469
Поправки к~статье ``О~перегруппировке скрытого изображения при фотографическом
Поправки к~статье ``Окислительно-восстановительный потенциал вод Черного моря'' (ДАН, т.~108, \No~6, 1956~г.)

Sommaire du Fascicule no. 4

On analytical solutions of differential equations in partial derivatives of the third order
p. 567-570
On the identity of two algebraic fields of order~$n$
p. 571-574
On Hausdorff type measures
p. 575-578
On a class of iteration processes for the solution of the operation equations
p. 579-582
On irreducible linear representations of the complete Lorentz group
p. 583-586
On sufficient and necessary conditions for complete approximative solvability of equations of a very general nature
p. 587-590
Insertion theorems for analytical functions of many variables
p. 591-594
Some unsteady two- and three-dimensional gas flows
p. 595-598
Asymptotic behaviour of solutions of a non-linear boundary problem in the boundary layer theory
p. 599-602
On radial displacement of gas containing oil by wafer
p. 603-606
Similarity integrals in the hydrodynamic of heterogeneous and homogeneous processes
p. 607-610
The problem of die pressure on an elastic semiplane with a circular hole
p. 611-614
The crystallization phenomenon in statistical physics
p. 615-618
On the causes responsible for the ordered motion of the cathode spot of an electric arc in a magnetic field
p. 619-622
The hyperfine structure of paramagnetic resonance. The clear spin and magnetic moment of 5,3-year
p. 623-625
A method of studying downward compensation air currents about developing cumuli
p. 626-627
On the geographic distribution of radio blackouts in high latitudes
p. 628-631
Scale factor of the intensity curve in the method of radial distribution
p. 640-643
Polymerization in viscous media
p. 645-648
The kinetics and sequence of the hydrogenation of bonds in peroxides on a nickel catalyst
p. 649-652
Neo-abietinic acid, the primary acid of the resin from Pinus silvestris
p. 653-654
The catalytic cracking of ethylidenediisopropylbenzene
p. 655-658
On the separation of boron isotopes by chemical exchange
p. 659-661
The synthesis of trialkyl butadienylsilanes
p. 662-665
Alkylation of benzene by ethylene in the presence of various phosphoric acids containing fluorine and boron fluoride
p. 666-668
The initial phases of tetracycline synthesis
p. 669-672
Adsorption energy of hydrocarbons on graphite
p. 673-676
A dynamical method in the investigation of the structure and specific surface area of adsorbents
p. 677-680
The thermoelectric properties of chromium silicides
p. 681-683
Radiometric study of the chromatography of two- and three-valent ions within a concentration range of $10^{-1}$ до $10^{-9}$ n
p. 684-687
The use of infrared absorption spectra in studying the sensibilization of the photooxidation of organic
p. 688-691
On negative difference effect in the anodic polarization of magnesium
p. 692-695
The deposition of aerosol particles on a cylinder in a flow by electrostatic attraction
p. 696-699
Measurement of vapour pressure of $\mathrm{Au}$ -- $\mathrm{Ag}$ and $\mathrm{Au}$ -- $\mathrm{Cu}$ solid solutions
p. 700-702
Reactions of free radicals in solutions. The thermal decomposition of triazines in various solutions
p. 703-705
Characteristic frequencies of olefines
p. 706-709
On the relation between activation energy and heat of reaction
p. 710-713
On the liquidus and solidus equations for ideal systems
p. 714-715
Some data on heterodiffusion coefficients in $\mathrm{Cu}$--$\mathrm{Ni}$,
p. 716-719
Influence of admixtures on the rate of selfdiffusion
p. 720-723

Sommaire du Fascicule no. 5

The use of Chaplygin's method in solving the characteristic problem of Cauchy for a second order partial differential
p. 791-792
Some boundary problems for mixed type of equation in a strip and a half-plane
p. 793-796
An expansion in eigenfunctions of a system of second order differential equations
p. 797-799
The inverse of a problem for systems of linear differential equations involving a parameter
p. 800-803
On the metric dimension of point sets
p. 804-805
On the differentiability of solutions of elliptical differential equations
p. 806-809
The geometric properties of solutions of non-linear systems of partial differential equations
p. 810-811
On functions continuous in each variable
p. 812-814
Extrapolation of homogeneous random fields and the quantity of information on a gaussian random field contained in
p. 815-818
On a class of operators which depend nonlinearly on a parameter
p. 819-822
A die lying on elastic semispace whose modulus of elasticity is a power function of the depth
p. 823-826
Theory of magnetostriction of nickel single crystals
On the note of W.\,F.~Brown, jr. Theory of magnetostriction of nickel single crystals
p. 828-830
The invariance principle for a homogeneous medium of arbitrary shape
p. 831-834
Depolarization and intensities in the Raman spectra of benzene and hexadeuterobenzene
p. 835-838
Universal relation between the absorption spectra and luminescence spectra of complex molecules
p. 839-841
Time correlations in classical statistical systems consisting of a large number of interaction particles
p. 842-845
On the geographic distribution of magnetic disturbances in the Antarctic
p. 846-848
On paleomagnetism as a basis for a new method of correlation and differentiation of sedimentary rocks
p. 849-852
X-Ray study of $\mathrm{TiSi}$ and $\mathrm{TiGe}$
p. 853-855
The saponification and re-etherification of phosphorous acid esters
p. 856-859
The polymerization of styrene under the influence of diazoaminocompounds and activators
p. 860-863
An investigation of the r\^ole of plane chains in the production of hydrocarbons from $\mathrm{CO}$ and $\mathrm{H}_2$
p. 864-867
The addition of trialkylphosphites to $\alpha$, $\beta$-unsaturated aldehydes
p. 868-871
On sulfonation in the aromatic series
p. 872-875
The alkylation of benzene by propylene in the presence of various phosphoric acids containing fluorine and boron fluoride
p. 876-879
The production of $p$-xylylene diamine by a catalytic reduction of terephthalic dinitrile
p. 880-881
Measurement of saturated vapour pressure of solid bismuth by the isotopic exchange method
p. 882-885
Influence of $\gamma$-rays on the oxidation of cetane
p. 886-889
The infrared spectra of some secondary aromatic amines
p. 890-893
The influence of an external electric field on chemical reaction in gas
p. 894-895

Sommaire du Fascicule no. 6

On elliptical systems of second order partial differential equations
p. 983-986
The matrix elements of irreducible unitary representations of the group of Euclidean three-dimensional
p. 987-989
On differential equations with unbounded operators in Hilbert space
p. 990-993
A theorem on the spectra of a perturbed differential operator
p. 994-997
The use of the theory of continuous groups of transformations in investigating the solutions of ordinary
p. 998-1001
On the numerical solution of a boundary problem for a system of ordinary differential equations
p. 1002-1004
On operators realizable in logical nets
p. 1005-1007
Operator-analytical functions of an independent variable
p. 1008-1011
The polarization of radioemission from sun spots as observed on the 3,2 cm wave
p. 1012-1015
Photoproduction of $\pi^0$-mesons on complex nuclei
p. 1017-1019
Energy of ionization by electrons in germanium crystals
p. 1020-1022
On the theory of stationary strata in the positive column of the gas discharge
p. 1023-1026
On the outline of absorption and luminescence bands in the spectra of complex molecules
p. 1027-1029
A generalized problem on the stochastic motion of a particle
p. 1030-1032
Theoretical model of the cumulus
p. 1033-1036
Multistage construction of non-blocking switching networks
p. 1043-1046
The action of hydrazine on the $\mathrm{N}$-acyl and $\mathrm{N}$-aminoacyl derivatives of diketopiperazines
p. 1047-1049
The synthesis of polyorganosiloxanoaluminium oxanes and polyorganosiloxanotitanium oxanes
p. 1050-1052
Properties of $\mathrm{O}$-peptides of $\beta$-hydroxyamino acids. The fermentative production of peptides from
p. 1053-1055
On the solubility polytherm of system $(\mathrm{CaCO}_3+\mathrm{MgSO}_4\rightleftarrows\mathrm{CaSO}_4+\mathrm{MgCO}_3)-\mathrm{H}_2\mathrm{O}$
p. 1056-1058
The synthesis of trans-$\Delta^{4,9}$-steradienone-$3$
p. 1059-1062
Alkylation of cycloparaffins
p. 1063-1066
The action of magnesium bromvinyl on 6-methoxytetralone-1 and the enolic esters of dihydroresorcin and methyldlhydroresorcin.
p. 1067-1070
Production of xylenes by alkylation and dealkylation of aromatic hydrocarbons in the presence of synthetic aluminium silicates
p. 1071-1074
An investigation of the mechanism underlying the production of divinyl according to S.\,V.~Lebedev with the use of
p. 1075-1078
Поправки к~статье ``Изотопный эффект в~равновесии жидкость--пар бинарных систем, содержащих дейтеросоединения''
Поправки к~статье ``Об одном классе автоколебательных систем'' (ДАН, т.~110, \No~2, 1956~г.)
Поправки к~статье ``О~скорости сорбции стрептомицина карбоксильными катионитами'' (ДАН, т.~111, \No~2, 1956~г.)