Geodesic

Sommaire du Fascicule no. 1

Generalization of Eichler's theorem in the theory of quaternary quadratic forms
p. 9-12
New criteria for the paracompactness and metrisability of an arbitrary $T_1$-space
p. 13-15
A representation of a tensor function
p. 16-18
Chebyshev sets in Banach spaces
p. 19-20
Singular operators of arbitrary order on a manifold
p. 21-23
Stability in the case of a neutral linear approximation
p. 24-27
Divergent Fourier series of continuous functions
p. 28-31
The sewing problem for two semi-circles
p. 32-35
The Riemann boundary-value problem for $n$~pairs of functions with measurable coefficients and its
p. 36-39
An estimate for a mixed derivative in $L_p(G)$
p. 40-42
Exactness of limit sequences of the inverse spectrum of exact sequences of discrete groups
p. 43-46
Solution of the Riemann boundary-value problem for automorphic functions for groups characterised by two invariants
p. 47-50
On the homotopy theory of fiber spaces
p. 51-54
Interaction of rotational discontinuities
p. 55-58
The energy levels of $\mathrm{Gd}^{156}$ and $\mathrm{Gd}^{158}$
p. 59-62
The influence of an external electric field and the luminescence of cuprous oxide
p. 63-65
Neutrino and antineutrino in a free space
p. 66-69
A possible criterion of superconductivity
p. 70-73
Measurement of deep currents in the Black sea with the aid of an ultrasonic buoy of neutral buoyancy
p. 74-76
A stationary problem concerning the motion of a cold layer of air over a cross-country
p. 77-79
Some new imidoether derivatives
p. 81-83
Detection of $\alpha$-glycol groupings in thin-layer chromatography on silica gel
p. 84-86
On two conformations of some inorganic complexes of transition metals
p. 87-89
Interaction of sulphur with rubber under the influence of $\gamma$-radiation
p. 90-93
An investigation of the $\mathrm{Mn}$--$\mathrm{Si}$ system in the high-silicon region
p. 94-97
The use of ion exchange chromatography in the activation analysis of microimpurities in silica
p. 98-100
An investigation of the reaction between an aqueous solution of potassium metaniobate and oxalic acid
p. 101-103
Hydrogenation of cerium magnesium alloys
p. 104-106
Oxidation of diisopropyl mercury
p. 107-109
Synthesis and some reactions of pyridylethinylcarbinols
p. 110-113
Double oxides in the uraniumtungsten-oxygen system
p. 114-116
Comparative study of the reaction kinetics when different hydrocarbons are converted to acetylene in
p. 117-120
Application of Hammett--Taft equation to the reaction of hydride transition in an acid medium
p. 121-124
Pyrolysis and photolysis of polyfluoronitrosoalkanes; reaction of nitrosocompounds with nitric oxide
p. 125-128
Detection of oxygen atoms in rarefied flame of carbon monoxide with oxygen when small quantities of hydrogen are present
p. 129-130
The mechanism of chain initiation in oxidized cyclohexanol
p. 131-134
On the different filtration rate of anions and cations when solutions are flowing through finely porous filters
p. 135-138
Emission of positive molecular ions from heated surfaces in vacuum
p. 139-142
Decomposition kinetics of alkali metal amalgams in alkaline solutions of electrolytes
p. 143-146
The polarographic catalytic surface waves of hydrogen as affected by the structure of the double layer
p. 147-150
Propagation rate of the front of an exothermic reaction in condensed phase
p. 151-153
An investigation of the thermodynamic properties of platinum-lead alloys
p. 154-156
An investigation of the secondary structures formed in capron fibres
p. 157-160
Isotopic effect in radiolytic formation of hydrogen from polyethylene
p. 161-164
On metastable solutions of calcium silicates
p. 165-167
Vibration spectra of some alkyl and alkylalkenylstannanes $(\mathrm{Sn}^{\mathrm{IV}})$
p. 168-171
Письмо в~редакцию

Sommaire du Fascicule no. 2

XXII СЪЕЗД КПСС И ЗАДАЧИ НАУКИ
p. I-IV
Continuous analogues of orthogonal polynomials on a system of intervals
p. 263-266
Convergence of the remainder in the Bubnov--Galerkin and Ritz methods
p. 267-269
The Morozov--Borel theorem for real Lie groups
p. 270-273
The Chebyshev best approximation problem in the complex domain with supplementary conditions
p. 274-276
On the computation of eigenvalues and eigenvectors of matrices
p. 277-280
Unitary pairs of operators and their analytic characterization in $L_2(a,b)$
p. 281-284
$n$-dimensional elliptic boundary value problems with a single unknown function
p. 285-287
Non-negative eigenfunctions of the Laplace-Beltrami operator and Brownian motion in certain symmetric spaces
p. 288-291
Calculation of the index of an isolated stationary point of a completely continuous vector field
p. 292-295
Estimate of the spectrum of a stationary Gaussian process
p. 296-299
A generalization of the notion of basis and of Bari's theorems on bases
p. 300-303
Best uniform approximation of differentiable functions
p. 304-307
On Sobolev's imbedding theorems for abstract functions
p. 308-311
An example of a dimensionally deficient compactum
p. 312-315
Classification of bounded homogeneous domains in $n$-dimensional complex space
p. 316-319
Theorems of Sylow type
p. 320-321
Geometric description of all possible representations of a Riemannian metric in Levi-Civit\`a form
p. 322-325
On a certain boundary-value problem for Laplace's equation
p. 327-329
A steady flow of a conducting fluid in a rectangular tube with two conducting and two not-conducting walls,
p. 330-333
Single ferroelectric crystals with a high non-linearity
p. 338-341
The structure of certain complexes of copper acetate and copper chloroacetates as investigated by means
p. 343-345
Free energy of $\mathrm{Mn}_{23}\mathrm{C}_6$
p. 346-348
Interaction of imidoethers with halogen alkyls
p. 349-352
Methods of studying the stability of complex phthalocyanin compounds
p. 353-356
Reactions of polyfluorinated nitrosoalkanes with amines
p. 357-360
Pyrrolysidine alkaloids. Absolute configuration of 1-methylene pyrrolysidine and other pyrrolysidine bases
p. 361-363
On scandium chalkogenides
p. 364-367
Inhibitors of free-radical reactions. II Self-alkylation of 3,5-di-t-butyl-4-oxybenzylamine
p. 368-370
The decomposition of diphenylmercury in cyclohexane and cyclohexene
p. 371-373
Sulfurization of 2-veratryl-and 2-piperonyl-indandiones-1,3
p. 374-377
The influence of hydrogen and argon on the electrocracking of methane and ethylene
p. 378-380
The thermodynamic properties of $\mathrm{Ag}$--$\mathrm{Bi}$ melts
p. 381-383
On theory of a gas sliding along a solid surface due to temperature drop
p. 384-386
The polymeric chain conformation in a solution as dependent on the concentration of the latter
p. 387-388
The role of phase transitions in the polymerization of monomers when the latter are in the solid state
p. 389-392
Inflammation limits in turbulized gas mixtures
p. 393-396
Iodine diffusion in compressed carbon dioxide near the critical point
p. 397-399
Coordination numbers of particles in liquid solutions as dependent on temperature
p. 400-401
Polarization of certain gaseous electrodes when in contact with solid electrolytes
p. 402-405
On the strengthening of solid nickel alloys
p. 406-408
Interaction of molecular oxygen with a stable free radical in solution investigated by the method of paramagnetic electron resonance
p. 409-412
The decomposition kinetics of alkali metal amalgams in buffer solutions
p. 413-416
Поправки к статье ``Равновесие изомеризации бромпропанов'' (ДАН, т.~135, \No~2, 1960~г.)

Sommaire du Fascicule no. 3

Convex homogeneous domains
p. 521-524
On the set of angular limiting values of normal meromorphic functions
p. 525-526
An integral equation connected with a pulse motion around a circle
p. 527-530
Integral formulas for Siegel domains of second kind
p. 531-534
The index in boundary-value problems for invariant elliptic systems
p. 535-538
On the completeness and closure of the incomplete system of functions $\{e^{-\mu}k^xx^sk^{-1}\}$
p. 539-542
On a refinement of the bound of the spectral function of the Laplace operator
p. 543-546
Smoothness properties of generalized potentials of an elliptic operator
p. 547-550
Solution of the Cauchy problem for hyperbolic equations by the method of finite differences
p. 551-554
Projective imbeddings of algebraic manifolds
p. 555-557
A test for the completeness of a system of eignevectors and adjoint vectors of a polynomial bundle of operators
p. 558-560
On paracompact and finally compact spaces
p. 561-563
The Fourier coefficients of periodic functions belonging to the $H$-classes of S.\,M.~Nikolʹskii
p. 564-567
Conditions for the existence of a solution of a quasi-linear parabolic equation
p. 568-570
Inverse problems in additive number theory. Addition of sets of residues modulo a prime
p. 571-573
A numerical method of solving eigenvalue problems
p. 574-577
The simplest model of comet halos
p. 578-581
Diverging diagrams in the formal theory of perturbations for a non-ideal Fermi--Dirac system and
p. 582-585
Determination of the frequencies of transitions between different states of the activator molecule in organic phosphors
p. 586-589
Cyclic accelerators for high energies with a self-tuning magnetic field
p. 590-592
Observation of $\mathrm{B}^9_5$ nucleus decay in nuclear emulsion
p. 593-594
The fine structure of the excitation functions for certain cadmium lines
p. 595-598
Quantum theory of unstable elementary particles
p. 599-602
Movement of twinning dislocations in calcite
p. 607-610
The regrouping mechanism of imidoethers
p. 611-612
On the mechanism of epichlorohydrin polymerization upon the catalytic system
p. 613-615
Catalytic dehydrogenation of alkylphenols
p. 616-619
An investigation into the structure of unsaturated nitrocompounds by the method of dipole moments
p. 620-623
The synthesis of double diazonium salts of aluminium halides
p. 624-627
Reaction of alkyl- and alkoxyoxazoles with maleic acid imide
p. 628-631
An investigation of the composition of the products of reaction between vanadium oxytrichloride and trimethylaluminum
p. 632-635
Production of carboxylic acids and their esters by acid catalysis from carbon monoxide and alcohols
p. 636-637
Production of 2,2-disubstituted 1-amino-indandiones-3
p. 638-640
An investigation of the polymerization of cyan-containing organosilicon compounds
p. 641-644
On the structure of complex ``anomalous'' compounds of bivalent platinum
p. 645-648
Interaction of $\alpha$-methyltrimethylene with chlorosilanes, aluminium chloride and titanium tetrachloride
p. 649-651
A mass-spectrometer study of the composition of vapour over rare-earths
p. 652-654
The influence of terminal substituents in 5-nitrofurylpolyene derivatives on their electron spectra
p. 655-658
Influence of oxygen atoms on burning at low pressures
p. 659-661
The influence of thermal interaction on the systems consisting of polymers and dispersed metals
p. 662-664
Infrared absorption spectra of some $\mathrm{R}$--$\mathrm{O}$--$\mathrm{Li}$ compounds
p. 665-667
Isotopic exchange between $\mathrm{O}_2^{18}$ and molten $\mathrm{Na}_2\mathrm{WO}_4^{16}$
p. 668-669
Adsorption of aromatic and hydroaromatic compounds at a mercury/solution interface
p. 670-673

Sommaire du Fascicule no. 4

A space analogue of polynomials orthogonal on a circular arc
p. 769-772
Integral equations containing integrals taken over a surface with edges
p. 773-776
On a theorem of Hurewicz
p. 777-780
Polynomials orthogonal with respect to weight functions which are zero or infinite at isolated
p. 781-784
Some approximate methods of solving non-linear operator equations by linearization
p. 785-788
Radicals in group theory
p. 789-791
Homogeneous, non-symmetric Riemannian spaces with an irreducible rotation group
p. 792-795
On the completeness of the zeros of entire functions
p. 796-799
The inverse mixed boundary-value problem for several unknown arcs
p. 800-802
On the classification of fibre spaces
p. 803-806
On the non-selfadjoint operator $-y''+q(x)y$ on a semiaxis
p. 807-810
Infinite-dimensional homogeneous spaces
p. 811-813
Some remarks on transfinite dimension
p. 814-817
On homotopy duality
p. 818-821
A method for the construction of Hermite’s interpolation formula, and quadrature formulas for solving
p. 822-825
Motion of a piston with constant velocity in an inhomogeneous medium
p. 826-828
The shift of the branch point in the mass operator of formal perturbation theory for a nonideal Fermi--Dirac system
p. 829-832
Catalytic dimethylation of isomeric cresols to phenol by the action of steam
p. 839-842
Organosilicon compounds with hydrocarbon bridges between silicon atoms. Thermal transformations
p. 843-846
The use of $\mathrm{N}^{15}$ in studying the mechanism of the interaction between nitrosoaryls and hydrazoic acid
p. 847-850
An investigation of selenocyanate complexes of cobalt and nickel
p. 851-854
The structure of Sabinen's monohydrochloride
p. 855-856
The microstructure and spectra of benzylidenaniline and azobenzene derivatives and their salts
p. 857-860
Reaction of 5-alkoxyoxazoles with maleic anhydride
p. 861-864
The composition of hydrolysis products in aluminium chloride solutions
p. 865-868
Microestimation of carbon and hydrogen in organic compounds by gas chromatography
p. 869-871
A new method of producing iodonium compounds
p. 872-874
Production and spectra of deuteronitroform
p. 875-876
Activities, heats and entropies of mixing in $\mathrm{NiFe}_2\mathrm{O}_4$ -- $\mathrm{Fe}_3\mathrm{O}_4$ solid solutions
p. 877-879
Calcium germanates and their properties
p. 880-883
On the equilibrium diagram of the aluminium-boron system
p. 884-886
Intramolecular migration of energy upon the radiolysis of alkylbenzenes
p. 887-890
The effects of external irradiation on the sorption properties of $\mathrm{BaSO}_4$
p. 891-893
The rate of breakdown of oxygen molecules at high temperatures
p. 894-896
Electrochemical hydrogenation of allyl alcohol
p. 897-899
Raman spectra of $\mathrm{AgClO}_4$ and its complex with benzene
p. 900-903
Redox potential of the $\mathrm{U}^{3+}/\mathrm{U}^{4+}$ system in a
p. 904-907
Inhibition limit in the thermal cracking of alkanes, as dependent on the nature of the inhibitor
p. 908-910
On the ESR spectrum of frozen irradiated benzene
p. 911-912
An investigation into the structure of passive oxide films on the surface of titanium
p. 913-916
Measurement of the potential drop on a platinum anode after the polarizing current circuit is opened
p. 917-920

Sommaire du Fascicule no. 5

A criterion for expanding functions into quasi-power series and quasi-analytic classes of functions
p. 1009-1010
A variational problem related to the Monge--Amp\`ere equation
p. 1011-1014
Representations of the group $\mathrm{Z}_2\times\mathrm{Z}_2$ in a field of characteristic~2
p. 1015-1018
On overconvergence of sequences of rational functions
p. 1019-1022
Bases in the space of functions analytic on a closed circle of $|z|\le R$
p. 1023-1025
Representation as a double integral of the divided difference of order $(m,n)$ of a function of two variables.~I
p. 1026-1029
An effective solution of Tricomi singular problems for Chaplygin’s equation
p. 1030-1033
Riemannian spaces with orthogonal and symplectic motion groups and an irreducible rotation group
p. 1034-1037
The structure and properties of invariant measurable partitions
p. 1038-1041
On a mapping of a Hilbert space into itself
p. 1042-1044
On the extension of homeomorphisms
p. 1045-1047
Exact Weyl factors for unconditional convergence
p. 1048-1049
Approximation of functions of several variables with preservation of boundary conditions
p. 1050-1053
Coding by means of finite automata
p. 1054-1057
Flow of a gas into a vacuum with energy liberation obeying a power law
p. 1058-1060
A mechanism of the ``splitting'' of Lyman alpha quanta in nebulae
p. 1061-1064
A method for solving the problem of many bodies by means of high speed computers in the case of charged particles
p. 1065-1067
Photoelectric emission from the surface of $\mathrm{Cr}_2\mathrm{O}_3$, $\mathrm{NiO}$ and $\mathrm{ZnO}$
p. 1068-1071
On the vibration excitation and breakdown of oxygen molecules at high temperatures
p. 1072-1075
New data on the developmental mechanism of a long spark
p. 1076-1077
New cotidal maps of semidiurnal tidal waves ($M_2$ and $S_2$) in Australo-Asian seas
p. 1078-1081
Thallium polychromates
p. 1083-1086
Evaluation of the comparative electronegativity of substituents in aromatic heterocyclic systems by means of potentiometry
p. 1087-1089
Comparative acidity of hydroxyl groups in $D$-glucose, $\alpha$- and $\beta$-fnethyl-glucosides, maltose and cellobiose
p. 1090-1092
The synthesis of 2-aralkylindandiones-1,3 by the catalytic hydrogenation of 2-arylidenindandiones-1,3
p. 1093-1096
Tetrachlorides of titanium and tin as acceptors of radicals in hydrocarbon radiolysis
p. 1097-1100
Divinyl sulfoxide and divinyl sulfone in the diene synthesis with symmetric dienes
p. 1101-1104
Addition of dialkylphosphorous acids to 3,3'-dimethoxy-diphenyl-4,4'- and diphenylmethane-4,4'-diisocyanates
p. 1105-1106
Reaction of ketene with mercury salts
p. 1107-1108
The effect of the formation of a complex on the separation of elements by cocrystallization
p. 1109-1112
Reaction of bismuth chloride with chlorides of alkali metals
p. 1113-1116
The synthesis of the paraaminosalicyl ester of polyvinyl alcohol
p. 1117-1119
Stabilization of free radicals in ionic crystal matrices
p. 1120-1123
On the coefficient of condensation (sticking) of gas molecules in their chemisorption at a metal surface
p. 1124-1126
Self-diffusion of alkali ions in silicate melts
p. 1127-1130
Leading stage in burning
p. 1131-1134
Potential distribution at the interface between germanium and the electrolyte solution
p. 1135-1138
Electroreduction of anions and the second-kind polarographic maxima
p. 1139-1142
The effect of different kinds of radiation on the catalytic dehydration of $n$-decyl alcohol
p. 1143-1146
After-effects in air-saturated sulfate solutions of ferrous sulfate containing ethyl alcohol, when acted
p. 1147-1150
Поправки к~статье ``Асимптотические разложения собственных значений краевой задачи с~параметром''

Sommaire du Fascicule no. 6

Approximation by piecewise polynomial functions
p. 1283-1286
On quasi-analytic continuation of analytic functions
p. 1287-1289
Continual integrals and characteristics related to a group of operators
p. 1290-1293
Representation as a double integral of the divided difference of order $(m,n)$ of a function of two variables.~II
p. 1294-1297
On the stability of solutions of second-order equations
p. 1298-1301
Structure of polynomial ideals and their factor spaces in spaces of infinitely differentiable functions
p. 1302-1305
Summability of the product of two numerical series
p. 1306-1309
On the strong law of large numbers for non-homogeneous Markov chains
p. 1310-1312
Periodic solutions of boundary-value problems without initial conditions for parabolic equations
p. 1313-1316
The coalition of systems of equations of Boolean algebra and their solution
p. 1317-1319
Self-adaptive automata for decoding messages
p. 1320-1323
Road net transportation with losses
p. 1324-1327
The rotation of a deformable body
p. 1328-1331
On theory of the multiplication of causal functions
p. 1332-1334
Point interaction for a three-particle system in quantum mechanics
p. 1335-1338
Distribution of $\alpha$-particles over energies in the photodisintegration of argon
p. 1339-1342
Distribution of electrons with respect to kinetic energy in the photoelectric effect from dyestuff layers
p. 1343-1346
Emission of high-energy $\alpha$-particles in nuclear splittings by protons
p. 1347-1349
Averaging of balance equations in oceanology
p. 1350-1352
Generalization of experiment data concerning the influence of heated channel length on critical heat flows
p. 1353-1356
Homogeneous compensator circuits
p. 1357-1359
Observation of internal stresses about dislocations in silicon
p. 1360-1362
cis-trans-Isomerization of 1,4-polybutadiene links under the influence of nitrogen dioxide
p. 1363-1365
An investigation of infrared absorption spectra when resole phenol-formaldehyde resin is solidifying
p. 1366-1368
The simplest unsaturated dialkylhydrozones
p. 1369-1372
Addition of thiourea and selenourea to unsaturated electrophile reactants
p. 1373-1375
New data on the reduction of copper oxides by gases at low temperatures ($100^\circ$)
p. 1376-1379
Isomerisational hydrolytic and redoxy transformations of 3-carboxy-4-carboxymethyl-5-$n$-chlorophenylazotropolone
p. 1380-1383
Daucene, a new sesquiterpene hydrocarbon
p. 1384-1385
Synthesis and properties of tri-($\omega$-styryl)-boron
p. 1386-1387
Equilibrium between the tetrazole and azide forms in benzothiazole tetrazole
p. 1388-1390
Regrouping of certain organotin and organolead peroxides
p. 1391-1394
Production of fluorophenols by hydrolysis of fiuorohalobenzenes
p. 1395-1396
Radiolysis of $n$-hexane within the range of low integral doses $(3\cdot10^{18}-1\cdot10^{20}$ ev/ml)
p. 1397-1399
The influence of radioactive radiation energy on the rate of evaporation of a solid
p. 1400-1402
Theory of the double electric layer in concentrated solutions
p. 1403-1405
Proton magnetic resonance in selenourea
p. 1406-1408
The sorption of water vapour by sulfoacid and carboxyl cationites
p. 1409-1412
The influence of adsorbed hydrogen and oxygen on the potential changes at a platinized electrode due to adsorption
p. 1413-1415
The influence of cations on oxygen overvoltage
p. 1416-1419
The effect of the surface on the shape and behaviour of molecular patterns
p. 1420-1422