Showing 50 of 25456 papers

Influence of Structural Features and Surface Properties on the Recovery of Refractory Lead Minerals by Froth Flotation

Unknown
1958 SovietRxiv: ru-195801.98396

This paper examines why several complex oxidized lead minerals, including pyromorphite, mimetite, beudantite, and plumbojarosite, are poorly recovered by conventional froth flotation compared with cerussite, anglesite, and wulfenite. The authors relate flotation behavior to crystallochemical structu…

Development of Sea Waves from Inception to Maximum Steepness

V. V. Shuleikin
1958 SovietRxiv: ru-195801.98178

This paper proposes a schematic theory for the earliest stage of wind wave development, from the first instability of a smooth water surface to the attainment of maximum kinematically possible steepness. Extending earlier momentum-based work on later wave growth, it introduces generalized correction…

On the Nature of Continuous Emission

L. V. MIRZOYAN
1958 SovietRxiv: ru-195801.98149

This note examines the nature of short-wavelength continuous emission in nonstationary stars, focusing on observational data for AG Dra, NX Mon, and VY Ori and especially on Böhm’s proposed interpretation. By comparing the wavelength dependence of the emission intensity with limits expected for ther…

On Optimal Selection Algorithms

Unknown
1958 SovietRxiv: ru-195801.98096

This note formulates a problem of selecting a given binary word from a finite table without repeated rows, using chains of operators that progressively restrict the candidate submatrix or identify the word directly. It defines algorithm weight as the worst case cost of such chains and instruction vo…

Molecular Orbitals of Radicals with Nonalternant Cycles

M. E. DYATKINA, S. N. DOBRYAKOV, and E. M. SHUSTOROVICH
1958 SovietRxiv: ru-195801.98090

This paper examines the molecular orbital structure of radicals containing nonalternant five- and seven-membered rings, extending earlier calculations on perinaphthenyl analogs and related fused-ring systems. Using the simplified molecular-orbital method, the authors compare the numbers of bonding, …

Defining Relations in Categories

A. I. MAL′TSEV
1958 SovietRxiv: ru-195801.97860

This note extends the theory of defining relations from models to general categories, using homomorphisms to express substructures, products, free compositions, and related notions. It introduces replicas of objects in subcategories as a categorical formulation of structures determined by generators…

On Operator Algorithms

Unknown
1958 SovietRxiv: ru-195801.97783

This paper introduces operator algorithms as a formal scheme for describing computation in terms of variables, operations, expressions, formulas, and operators acting on a changing domain of assigned values. It defines execution by transitions between variables, evaluation of operator formulas, and …

MASSES OF LEAD ISOTOPES

Unknown
1958 SovietRxiv: ru-195801.97480

This paper reports mass spectrographic measurements of the lead isotopes Pb-204, Pb-206, Pb-207, and Pb-208, motivated by nuclear binding energy studies near magic proton and neutron numbers and by the need to refine the reference mass of Pb-208. The authors used a high resolving power mass spectrog…

Mechanics of Polymer Molecules

G. A. Patrikeev
1958 SovietRxiv: ru-195801.97467

This paper develops a theoretical account of the mechanical stretching and rupture of polymer molecules, treating covalent bonds in an extended chain as highly stiff quasi-elastic elements. It distinguishes configurational entropy deformation from subsequent elastic stretching of valence angles and …

Interaction of Vinylacetylene with Diazomethane

A. T. TROSHCHENKO and A. A. PETROV
1958 SovietRxiv: ru-195801.97424

This study examines the reaction of vinylacetylene with diazomethane, addressing whether addition occurs at the triple bond or the double bond in this conjugated hydrocarbon. Experiments in ether at low temperature followed by product isolation showed formation of a single oil in high yield, assigne…

On the Composition of Alcohols Obtained in the Liquid-Phase Oxidation of n-Paraffin Hydrocarbons

A. N. BASHKIROV, V. V. KAMZOLKIN, K. M. SOKOVA, and T. P. ANDREEVA
1958 SovietRxiv: ru-195801.97100

This paper examines the composition and hydroxyl group positions of higher aliphatic alcohols formed during liquid phase oxidation of normal paraffin hydrocarbons in the presence of boric acid. The authors evaluate oxidation with potassium dichromate in dilute sulfuric acid as a structural method, f…

On the Formation of the Carbonium Ion in Addition Reactions to Olefins

A. E. SHILOV, R. D. SABIROVA, and V. I. GORSHKOV
1958 SovietRxiv: ru-195801.97046

This paper examines whether acid-catalyzed addition to olefins proceeds through reversible formation of a carbonium ion or through a protonated pi-complex. The authors test these alternatives by reacting ethylene with deuterosulfuric acid, and isobutylene under hydration conditions, then determining…

A MIXED PROBLEM FOR AN ELASTIC LAYER

Unknown
1958 SovietRxiv: ru-195801.96757

An exact solution is developed for a three-dimensional mixed boundary-value problem in linear elasticity for an unbounded layer, with prescribed displacements on one plane face and prescribed stresses on the other. The displacement field is represented by Papkovich-Neuber harmonic functions, and the…

On a Formula for the Expansion of an Arbitrary Function

Unknown
1958 SovietRxiv: ru-195801.96720

The paper derives an expansion formula for arbitrary vector functions associated with a boundary value problem for a system of linear differential equations on several intervals, with piecewise smooth coefficients depending on a complex parameter and including negative powers of that parameter. Usin…

THE INFLUENCE OF THE RATE OF DEFORMATION ON THE RATE OF THIXOTROPIC RECOVERY OF AN ALUMINUM NAPHTHENATE GEL AND A METHOD FOR OSCILLOGRAPHIC RECORDING OF STRESS–STRAIN CURVES

Unknown
1958 SovietRxiv: ru-195801.96594

This paper examines how deformation rate affects thixotropic recovery in a 2 percent aluminum naphthenate gel in vaseline oil, emphasizing the need to control both the destructive and measuring velocity gradients. The authors describe an oscillographic method for recording stress, deformation, defor…

Ionization of Fast Neutral Potassium Atoms in Collisions with Argon Atoms and Hydrogen, Nitrogen, and Oxygen Molecules

Yu. F. BYDIN and A. M. BUKHTEEV
1958 SovietRxiv: ru-195801.96567

This paper reports measurements of the ionization of fast neutral potassium atoms in single collisions with argon atoms and hydrogen, nitrogen, and oxygen molecules. A beam of potassium ions was neutralized by resonant charge exchange, residual ions were deflected, and fast positive potassium ions p…

AN INVERSION FORMULA FOR THE SOMMERFELD INTEGRAL

As is known, a solution of the two-dimensional wave equation
1958 SovietRxiv: ru-195801.96425

The paper derives inversion formulas for the Sommerfeld integral representation of solutions of the two-dimensional wave equation, with emphasis on functions defined by contour integrals in wedge diffraction problems. It proves existence and uniqueness of an odd analytic density satisfying specified…

Effect of $\mathrm{CaF}_2$ on the Distribution of Phosphorus Between Liquid Iron and Iron-Lime Slags

I. Yu. Kozhevnikov, O. V. Travin, and E. N. Yarkho
1958 SovietRxiv: ru-195801.96279

This study examines how calcium fluoride additions affect the equilibrium distribution of phosphorus between liquid iron and ferrous lime slags, a question on which earlier interpretations differed. Using a successive saturation method with radioactive phosphorus, the authors measured temperature de…

Some Features of the Carbonium Polymerization of the Styrene–$\alpha$-Methylstyrene System

E. B. LYUDVIG, A. R. GANTMAKHER, and Corresponding Member of the USSR Academy of Sciences S. S. MEDVEDEV
1958 SovietRxiv: ru-195801.96231

This paper investigates the cationic copolymerization of styrene with alpha-methylstyrene in ethyl chloride solution using tin tetrachloride catalyst, with emphasis on the pronounced acceleration caused by small additions of the more reactive monomer. Polymerization rates were measured dilatometrica…

Synthesis of 1-Benzyl-2-Methyl-5-Methoxytryptamine

A. N. GRINEV, V. N. ERMAKOVA, and A. P. TEREGENTEV
1958 SovietRxiv: ru-195801.96176

A new multistep synthesis of 1-benzyl-2-methyl-5-methoxytryptamine, a benzyl analogue of serotonin reported to have antiserotonin activity, is described. The route begins with condensation of p-benzoquinone and ethyl N-benzyl-beta-aminocrotonate to form a 5-hydroxyindole ester, followed by methylati…

A New Metric Invariant of Transitive Dynamical Systems and Automorphisms of Lebesgue Spaces

A. N. KOLMOGOROV
1958 SovietRxiv: ru-195801.96025

This paper introduces entropy per unit time as a new metric invariant for transitive dynamical systems and automorphisms of Lebesgue spaces, addressing whether systems with countable Lebesgue spectrum are all isomorphic modulo zero. It develops the needed notions of conditional entropy and condition…

On condensation telomerization and a new type of unsaturated polyesters (polyester acrylates)

A. A. BERLIN, G. L. POPOVA, and E. F. ISAEVA
1958 SovietRxiv: ru-195801.95871

This paper describes the synthesis of a new class of unsaturated polyesters, termed polyester acrylates, by condensation telomerization of dibasic acids with glycols or glycerol in the presence of methacrylic or acrylic acid. The authors examine reaction conditions using inert solvents, azeotropic w…

Dependence of Formaldehyde Yields in Methane Oxidation on the Concentration of a Homogeneous Initiator, Inert Gas Additives, and the State of the Walls of the Reaction Vessel

Unknown
1958 SovietRxiv: ru-195801.95833

This paper examines how formaldehyde yields during homogeneous methane oxidation depend on radical initiation, inert gas dilution, and the surface condition of quartz reaction vessels. Using methane and oxygen mixtures under varied vessel treatments, nitrogen additions, and initiators such as nitrog…

Chemisorption and catalytic oxidation of $\mathrm{CO}$ on $\mathrm{ZnO}$ and its solid solutions differing in electrical conductivity

Unknown
1958 SovietRxiv: ru-195801.95598

This study examines the relationship between semiconductor electronic properties, chemisorption, and catalytic oxidation of carbon monoxide on zinc oxide and ZnO solid solutions containing lithium or gallium oxides. Using samples with electrical conductivities differing by many orders of magnitude, …

Explosion in a Compacting Unbounded Medium

A. N. ROMASHOV, V. N. RODIONOV, and A. P. SUKHOTIN
1958 SovietRxiv: ru-195801.95328

This paper presents an experimental and theoretical study of spherical explosions in an unbounded compacting inelastic medium, using small explosive charges in sandy soil while eliminating free-surface effects. Measurements of wave-front propagation and particle displacements are used to derive empi…

Synthesis of Racemic Tubocurarine

V. G. VORONIN, O. N. TOLKACHEV, and N. A. PREOBRAZHENSKII
1958 SovietRxiv: ru-195801.95257

This paper reports a synthetic route to racemic tubocurarine, the principal quaternary ammonium alkaloid of tube curare, whose structure had not yet been synthetically confirmed. The authors construct the bisbenzyltetrahydroisoquinoline framework through successive amide formation, phenolic protecti…

ON WICK’S PROBLEM

Unknown
1958 SovietRxiv: ru-195801.95212

This paper gives a rigorous treatment of Wick’s problem on stationary neutron slowing down and diffusion from a plane source in an infinite homogeneous isotropic medium, allowing plane-parallel sources with angular dependence. Starting from the Fourier-Laplace transform of the transport equation, it…

On the Theory of Operational Calculus

Unknown
1958 SovietRxiv: ru-195801.94996

The paper constructs an analogue of the Laplace transform for Mikusiński’s operational calculus, motivated by the simplifying role of Laplace integrals in operational formulas. It defines rings of Laplace transforms modulo ideals determined by exponential shifts, forms a direct sum of quotient rings…

Reactions of Oxygen-Containing Radicals of the $\mathrm{RO}\cdot$ Type

Yu. A. ALEKSANDROVA, HUANG YU-LI, A. N. PRAVEDNIKOV
1958 SovietRxiv: ru-195801.94975

This paper examines reactions of tert-butoxy radicals formed during decomposition of di-tert-butyl peroxide, motivated by their relevance to hydrocarbon and polymer oxidation. The authors study decomposition in isopropylbenzene solution at 120 to 150 degrees Celsius over varying peroxide concentrati…

Measurement of Cosmic Radiation on an Artificial Earth Satellite

Corresponding Member of the Academy of Sciences of the USSR S. N. VERNOV, N. L. GRIGOROV,
1958 SovietRxiv: ru-195801.94386

This paper reports preliminary measurements of cosmic radiation made aboard the second artificial Earth satellite using two independent charged-particle counter instruments. The authors compare counting rates from direct and reverse orbits to estimate altitude effects, discuss contributions from Ear…

Homotopy Classification of Vector Fields

Unknown
1958 SovietRxiv: ru-195801.94215

This note gives a homotopic classification of nonsingular unit tangent vector fields on orientable smooth closed manifolds with Euler characteristic zero. Using obstruction and difference cohomology, together with a classification theorem for section surfaces, it identifies the homotopy classes firs…

REVERSIBLE ISOTHERMS OF WATER ADSORPTION ON QUARTZ

Unknown
1958 SovietRxiv: ru-195801.94193

Water vapor adsorption was measured volumetrically on four quartz powders of different origin and specific surface area, with surfaces characterized by BET measurements using nitrogen, argon, and methanol. The study addresses why published “absolute” water adsorption isotherms for quartz diverge eve…

Synthesis and Transformations of cis- and trans-1-Ethynyl-1-decalols

Academician **I. N. Nazarov**, G. V. Aleksandrova, and A. A. Akhrem
1958 SovietRxiv: ru-195801.94152

This study examines the condensation of cis- and trans-alpha-decalones with acetylene as a route to ethynyldecalols suitable for further side-chain transformations related to corticoid hormone structures. The authors synthesize and separate stereoisomeric trans-1-ethynyl-1-decalols and obtain a cis-…

Structure and Motions of Large-Scale Irregularities in the Ionospheric $F_2$ Layer

V. D. Gusev, L. A. Drachev, S. F. Mirkotan, Yu. V. Berezin,
1958 SovietRxiv: ru-195801.94145

This paper investigates large-scale inhomogeneities in the ionospheric F2 layer, whose structure and motion affect radio-wave reflection but had been difficult to measure with existing group-delay and angle-of-arrival methods. The authors apply an integral phase method using three synchronized ionos…

Investigation of the effect of solvent on the position of tautomeric equilibrium in a series of arylthiocarbazones

P. S. Pel'kis, R. G. Dubenko
1958 SovietRxiv: ru-195801.94051

This paper examines how solvent affects thione, thiol tautomeric equilibrium in a series of aryl thiocarbazones, with the aim of testing Kabachnik’s relation between tautomeric equilibrium constants in different solvents. Absorption spectra of dithizone derivatives and their S-methyl analogs were me…

Oxidation of Divalent Vanadium at a Germanium Anode

Yu. V. Pleskov and B. N. Kabanov
1958 SovietRxiv: ru-195801.94024

This study examines whether anodic oxidation reactions at a semiconductor electrode generally require holes, as had been proposed from earlier work on germanium dissolution. The authors investigate oxidation of divalent vanadium ions at a rotating disk electrode of n-type single-crystal germanium in…

Retention of the Latent Image and Sensitivity in Nuclear Photoemulsions Sensitized with Triethanolamine

A. P. Zhdanov, A. L. Kartuzhanskii, I. V. Ryzhkova, and L. I. Shur
1958 SovietRxiv: ru-195801.93691

This study examines whether triethanolamine sensitization of nuclear photographic emulsions also preserves latent images and sensitivity during storage. Type P emulsions were treated with triethanolamine, irradiated with relativistic electrons or exposed to light either before or after refrigerated …

Study of the Phase Composition of Iron–Vanadium and Iron–Chromium Alloys

M. I. ZAKHAROVA, I. A. IGNATOVA, L. A. SEMENOVA, and N. A. KHATANOVA
1958 SovietRxiv: ru-195801.93613

This study examines the phase composition of iron-vanadium and iron-chromium alloys in temperature ranges where existing phase diagrams suggested simpler single-phase behavior. Alloys of selected compositions were homogenized, annealed between 1400 and 600 degrees Celsius, quenched in water, and ana…

Reaction of Carbon Dioxide with Aluminum Trialkyls. Synthesis of Carboxylic Acids

L. I. Zakharkin and V. V. Gavrilenko
1958 SovietRxiv: ru-195801.93537

This paper examines the reaction of carbon dioxide with aluminum trialkyls, addressing conflicting reports on whether these organoaluminum compounds can form carboxylic acids. The authors treated triethylaluminum, tripropylaluminum, triisobutylaluminum, and ethylene-derived mixtures of aluminum tria…