Showing 50 of 25456 papers

On the Nature of Arc Discharge in an Atmosphere of Inert Gases

V. N. EGOROV, V. N. KOLESNIKOV, and N. N. SOBOLEV
1958 SovietRxiv: ru-195801.05691

This paper examines whether the plasma of a low-current direct-current arc between carbon electrodes at atmospheric pressure in inert gases is in thermal equilibrium. The authors measure absolute and relative intensities and radial distributions of selected hydrogen, helium, and neon spectral lines,…

On a conjecture of P. S. Alexandrov

L. N. IVANOVSKII
1958 SovietRxiv: ru-195801.04752

This note proves P. S. Alexandrov’s conjecture that every bicompact topological group is a dyadic compactum. The argument represents a bicompact group of weight τ as the limit group of a transfinite Pontryagin Li series and constructs compatible special mappings from an inverse spectrum of products …

On equilibrium ionization produced by dust particles

Yu. S. Sayasov
1958 SovietRxiv: ru-195801.04726

This paper analyzes equilibrium ionization in systems where thermionic emission from carbon dust particles is significant, with attention to multiple positive and negative charging of the particles. It formulates the charge balance and particle conservation equations for identical grains and express…

On the Calculation of the Decay Rate of Diatomic Molecules

Unknown
1958 SovietRxiv: ru-195801.04146

This paper derives a rate expression for collision induced thermal decomposition of diatomic molecules without assuming that vibrational quanta remain approximately constant up to the dissociation limit. The author formulates master equations for transitions between vibrational levels, uses detailed…

On the Theory of Chain-Thermal Flame Propagation

Unknown
1958 SovietRxiv: ru-195801.04087

This paper develops a theory of stationary laminar chain-thermal flame propagation in which both heat and active chain centers are transported from hot reaction zones into colder regions. A simplified chain mechanism is coupled to heat balance and active-center diffusion equations, then reduced thro…

Equilibrium Ionization of Particles

Unknown
1958 SovietRxiv: ru-195801.04026

This paper develops a general treatment of equilibrium ionization for homogeneous particles that may carry positive or negative charges, ranging from atoms to macroscopic particles. Using the law of mass action together with charge and mass conservation, it derives a general ionization equation and …

Reduction of Monoolefinic Hydrocarbons with Sodium in Liquid Ammonia in the Presence of tert-Butyl Alcohol

Unknown
1958 SovietRxiv: ru-195801.03946

This study examines the reduction of normal monoolefinic hydrocarbons by sodium in liquid ammonia using tert-butyl alcohol as a weaker proton donor than methanol or ethanol. A series of alpha, beta, and gamma monoolefins was reduced under controlled conditions, and reaction progress was assessed fro…

Absolute Values of Oscillator Strengths of Resonance Lines of $\mathrm{MgI}$, $\mathrm{CaI}$, $\mathrm{SrI}$, and $\mathrm{BaI}$

Unknown
1958 SovietRxiv: ru-195801.03268

A method is presented for determining absolute oscillator strengths of resonance absorption lines without requiring a vapor column of known concentration, a limitation that affects conventional absorption and hook methods for reactive or difficult-to-evaporate elements. The approach combines simulta…

Synthesis of Alkylindanes

A. V. TOPCHIEV, E. S. POKROVSKAYA, and T. G. STEPANTSEVA
1958 SovietRxiv: ru-195801.02966

This paper addresses the limited systematic data available on alkylindanes, hydrocarbons considered relevant to the composition of middle petroleum fractions. Indane, prepared by hydrogenation of indene, was alkylated with propylene, 1-butylene, and trimethylethylene using aluminum chloride or boron…

Study of Oxalate and Carbonate Complexes of Plutonium(IV) in Aqueous Solutions by the Solubility Method

A. D. Gel'man, A. I. Moskwin
1958 SovietRxiv: ru-195801.02909

This study investigates oxalate and carbonate complex formation by plutonium(IV) in aqueous solution using solubility measurements, supplemented by radiometric determination of plutonium and absorption spectroscopy for carbonate solutions. Solubility data for plutonium(IV) oxalate in ammonium oxalat…

Thermodynamic Properties of $\mathrm{Cu}$ – $\mathrm{Ni}$ and $\mathrm{Fe}$ – $\mathrm{Co}$ Solid Solutions

Corresponding Member of the Academy of Sciences of the USSR Ya. I. Gerasimov, A. A. Vecher, and V. A. Geiderikh
1958 SovietRxiv: ru-195801.02785

This paper reports electromotive-force measurements used to determine thermodynamic properties of solid Cu-Ni solutions and the activity of iron in Fe-Co alloys. For Cu-Ni alloys, the authors measured cell potentials over 620 to 750°C, derived copper activity, partial heat content, and entropy of mi…

Integro-differential equations of convolution type

Unknown
1958 SovietRxiv: ru-195801.02717

The paper studies classes of integro-differential equations of convolution type, including paired equations on positive and negative half-lines, with kernels, right-hand sides, and solutions specified by weighted integrability conditions. Using Fourier transform methods and the theory of Riemann bou…

Kinetics of Coal Oxidation with Nitric Acid

Unknown
1958 SovietRxiv: ru-195801.02418

This study examines the kinetics of Donets coal oxidation in aqueous nitric acid, with attention to latent periods, gas evolution, and the suitability of nitric acid for comparing coal oxidizability. Experiments measuring evolved gas show that rapid oxidation begins only after accumulation of small …

On the magnetic scattering of thermal neutrons near the Curie point of a ferromagnetic or antiferromagnetic

M. A. KRIVOGLAZ
1958 SovietRxiv: ru-195801.02201

This paper develops a thermodynamic fluctuation theory of anomalous magnetic scattering of thermal neutrons near the Curie point of ferromagnets and antiferromagnets. Starting from the Born approximation, it derives expressions for the differential scattering cross section in terms of Fourier compon…

On Linear Methods of Summation

A. M. OLEVSKII
1958 SovietRxiv: ru-195801.02039

This note studies linear summability of sequences by Toeplitz matrices, focusing on relative strength, coverability of countable families and nested chains, and prescribed summation behavior. It proves that zeros can be inserted into certain divergent functional series so that the resulting series i…

RECOVERY OF TENSOR FORCES FROM SCATTERING DATA

We shall confine ourselves here to considering a system of two equations, equivalent to the matrix equation
1958 SovietRxiv: ru-195801.01945

This paper studies the inverse scattering problem for a two-equation matrix Schrödinger system on the half-axis with a singular tensor term of order x^{-2}, motivated by the deuteron problem with tensor forces. It establishes spectral properties for the associated boundary-value problem, defines the…

On a problem of uniform distribution of a system of functions

A. M. POLOSUEV
1958 SovietRxiv: ru-195801.01920

This paper studies uniform distribution for multidimensional systems of functions built from linear finite difference equations with integer coefficients and dominant characteristic roots greater than one, including Pisot-type cases. Using a method based on exponential sum estimates, it establishes …

On the Function $\zeta(s)$

I. M. Vinogradov
1958 SovietRxiv: ru-195801.01882

Vinogradov announces a new bound for the Riemann zeta function on the line Re s = 1, namely ζ(1+it) = O((log t log log t)^{2/3}) for sufficiently large t. The estimate is derived from a new bound for exponential sums of the form ∑ e^{2πif(x)} with f(x) = −t log x/(2π), under specified size and smoot…

Dipole moments of hemioxanines derived from 3-ethylrhodanine and indandione (1,3)

E. A. Shott-Lvova, Corresponding Member of the Academy of Sciences of the USSR Ya. K. Syrkin,
1958 SovietRxiv: ru-195801.01845

Dipole moments were measured for a series of hemioxanines derived from 3-ethylrhodanine and indandione-1,3 with varying extracyclic nitrogen substituents and polymethine chain lengths. Using the heterodyne method in benzene at 25 degrees, the study compares total and electronic polarizations with ab…

On the Relationship Between the Number of Sign Changes of a Solution to a Parabolic Equation and the Growth of the Solution

Let there be given the equation
1958 SovietRxiv: ru-195801.01830

This note establishes a quantitative relation between oscillation and growth for solutions of a uniformly parabolic linear equation in a bounded cylindrical domain. Under boundedness, smoothness, and ellipticity assumptions on the coefficients, it defines the number of sign changes as the number of …

Features of Supersaturation Kinetics in Aqueous Suspensions of Calcium Oxide

E. E. SEGALOVA, S. I. KONTOROVICH, and P. A. REHBINDER
1958 SovietRxiv: ru-195801.01810

This study examines the kinetics of supersaturation in aqueous calcium oxide suspensions as a factor in hydration hardening. Using conductometric measurements under controlled temperature and nitrogen atmosphere, the authors analyze the effects of stirring rate, calcium oxide charge, and surface-act…

Necessary and sufficient conditions for global stability for a system of three differential equations

Unknown
1958 SovietRxiv: ru-195801.01773

This note studies global stability of the zero solution for a three-dimensional autonomous system with constants satisfying positivity and Hurwitz-type inequalities and a continuous nonlinearity obeying a generalized sign condition. Building on earlier sufficient criteria by Tuzov, it proves a neces…

Cubic resolvents

Unknown
1958 SovietRxiv: ru-195801.01704

This note develops a cubical analogue of Postnikov’s theory of homotopy resolvents, intended for use in questions concerning fiber spaces. It defines cubical complexes with face and degeneracy operators, introduces cochains, nonabelian one-dimensional cocycles, and cohomology with local coefficients…

THE EFFECT OF ACID ADDITIVES ON THE KINETICS OF THE ACYLATION REACTION OF AN AROMATIC AMINE IN AN INERT SOLVENT

Unknown
1958 SovietRxiv: ru-195801.01571

This study examines how small additions of benzoic acid affect the kinetics of aniline acylation by benzoyl chloride and benzoic anhydride in benzene, with comparison to the deactivating effect of hydrochloric acid salt formation. Kinetic measurements show that benzoic acid increases the reaction ra…

Adsorption of Ammonia on Graphitized Soot

Unknown
1958 SovietRxiv: ru-195801.01147

Ammonia vapor adsorption on graphitized channel soot was studied at minus 36.3 degrees C to compare its behavior with the known anomalous adsorption of water vapor on carbon adsorbents. Volumetric measurements on soot calcined in hydrogen at 1700 degrees C showed a completely reversible, initially c…

Potential Steady Relativistic Gas Flows

F. I. FRANKL’
1958 SovietRxiv: ru-195801.00930

This note treats spatial steady potential flows of a relativistic barotropic gas without friction or heat conduction, using the pseudovelocity potential and the relativistic Bernoulli relation. In Lorentz coordinates the author derives the governing differential equation for the ordinary velocity po…

On the Mechanism of Crosslinking of Polymer Chains under Gamma Irradiation

YIN SHEN-KAN, A. N. PRAVEDNIKOV, and Academician S. S. MEDVEDEV
1958 SovietRxiv: ru-195801.00877

This paper examines the mechanism by which gamma irradiation produces crosslinks in polymer chains, arguing that simple recombination of independently diffusing polymer radicals or radical addition to double bonds cannot account for the observed constant, intensity-proportional crosslinking rate. Th…

CHLORINATED POLYPROPYLENES

K. S. Minsker and V. S. Etlis
1958 SovietRxiv: ru-195801.00856

This study examines the chlorination of polypropylenes prepared with two aluminum alkyl, titanium chloride catalytic systems differing in amorphous and isotactic content. Chlorination in chlorobenzene, with and without radical initiators, was followed as a function of chlorine content, and the produ…

Generalization of the solution of a quasilinear differential equation in a Banach space

Ch. Foiaș, G. Gussi, and B. Poénaru
1958 SovietRxiv: ru-195801.00646

This paper studies generalized Cauchy problems for linear and quasilinear differential equations in a Banach space with time-dependent closed operators that may not admit classical solutions for all initial data. The authors construct an enlarged sequence space using invariant idempotent decompositi…

On the Influence of Oxide Films and an Adsorption-Active Medium on the Creep of Copper Wire

V. S. Ostrovskii, T. A. Amfiteatrova, and B. Ya. Yampol’skii
1958 SovietRxiv: ru-195801.00613

This paper examines how thin oxide films and adsorption-active aqueous media affect the creep of polycrystalline copper wire under constant load below the yield point. Experiments on annealed electrolytic copper wire compare deformation in air, distilled water, hydrogen- or air-purged water, hydroge…

Study of Oxygen Isotope Exchange Between Heavy-Oxygen Water and Some Niobates and Tantalates

Corresponding Member of the Academy of Sciences of the USSR Vikt. I. Spitsyn, A. V. Lapitskii,
1958 SovietRxiv: ru-195801.00396

This study examines the role and exchangeability of oxygen in selected hydrated niobates and tantalates, a question connected with competing structural formulas for these salts and the nature of oxygen bonding in their anions. Sodium pentatantalate, sodium hexatantalate, potassium hexaniobate, and p…

On the Propagation of Disturbances in Media with a Nonlinear Dependence of Stresses on Strains and Temperature

G. Ya. Galin
1958 SovietRxiv: ru-195801.00334

The paper studies one-dimensional adiabatic propagation of disturbances in a half-space medium whose stress depends nonlinearly on deformation and temperature, under a constant compressive stress applied at the boundary. Using Sedov’s dimensional and similarity method, the governing equations, therm…

DUN MIN-DE

Unknown
1958 SovietRxiv: ru-195801.00097

This paper studies the stability and natural oscillations of a thin elastic plate moving at supersonic speed, using linearized aerodynamic theory and small-deflection plate assumptions. The coupled aeroelastic problem is reduced to an integro-differential equation for the plate deflection, reformula…

Cauchy problem for non-linear and quasilinear parabolic systems

Unknown
1957 SovietRxiv: ru-195701.99983

This note states solvability results for the Cauchy problem for nonlinear and quasilinear parabolic systems in the sense of Petrovskii. Using fundamental matrices for linear parabolic systems and, for the nonlinear case, reduction to an equivalent quasilinear problem with successive approximations, …

ON THE FLOW OF A CONDUCTING LIQUID PAST MAGNETIZED BODIES

Unknown
1957 SovietRxiv: ru-195701.99865

This paper analyzes steady flow of an ideally conducting liquid past magnetized bodies, where frozen-in magnetic field lines prevent the incident nonmagnetized flow from entering a magnetic cavity adjacent to the body. It formulates the magnetohydrodynamic boundary conditions for a stationary cavity…