Showing 50 of 25456 papers

More on the Kinematics of Sea Waves

Unknown
1957 SovietRxiv: ru-195701.06085

This paper revisits the kinematics of sea waves and reinterprets earlier parametric equations for wind-wave profiles that had used an auxiliary ellipse to describe deviations from trochoidal form. By combining expressions for wave current, drift current, and orbital particle motion, it shows that th…

Radiation diffusion in a semi-infinite medium

Unknown
1957 SovietRxiv: ru-195701.06015

This note treats radiation diffusion in a semi-infinite medium with isotropic scattering and possible absorption, a problem relevant to stellar and planetary atmospheres and to water basins. It shows that cases differing only in the distribution of radiation sources can be reduced to a common integr…

ON THE INFLUENCE OF GRAVITY ON THE PROPAGATION OF LIGHT\*

Unknown
1957 SovietRxiv: ru-195701.05989

This paper analyzes the propagation of electromagnetic waves in a gravitational field by rewriting the vacuum field equations near finite masses in a form analogous to Maxwell equations for a moving anisotropic medium. Using geometrical optics and Rytov’s method, it derives a generalized eikonal equ…

The $L\beta_3$ and $L\beta_4$ Lines in the Spectrum of Germanium

G. P. BOROVIKOVA and M. I. KORSUNSKII
1957 SovietRxiv: ru-195701.05957

This study investigates the previously unobserved germanium L-series lines L beta 3 and L beta 4, associated with transitions from the L I level to the M III and M II levels. Using a Krasnikov-type X-ray tube, a high-vacuum spectrograph with a bent mica crystal, and photographic microphotometry of h…

On the mechanism of cyclohexanone oximation with sodium hydroxylamine monosulfonate

E. N. ZILBERMAN and M. M. SMIRNOVA
1957 SovietRxiv: ru-195701.05607

The paper investigates the mechanism of cyclohexanone oximation by sodium hydroxylaminemonosulfonate under acidic conditions, a reaction relevant to industrial hydroxylamine chemistry but not previously mechanistically described. The authors propose an acid-catalyzed pathway in which protonated cycl…

True and False Equilibria in Ion-Exchange Processes on Carboxylic Cation Exchangers Involving the Streptomycin Ion

Unknown
1957 SovietRxiv: ru-195701.05496

This paper examines true and apparent equilibria in ion exchange between streptomycin ions and carboxylic cation exchangers in sodium and hydrogen forms. Static sorption experiments with KB-4 and KFU resins show that low sodium ion concentrations can produce false equilibria, attributed to slow diff…

The Role of Complex Compounds and Cations of Complex-Forming Components in the Polymerization Reaction of Acetylene

A. L. KLEBANSKII, I. M. DOLGOPOL’SKII, and Z. F. DOBLER
1957 SovietRxiv: ru-195701.05383

This study examines the role of copper chloride complex compounds and the cations of complex-forming chlorides in the catalytic polymerization of acetylene and related acetylenic hydrocarbons. By isolating and characterizing crystalline complexes formed in CuCl, MCl solutions and measuring changes i…

On Some Elliptic Equations of Even Order Containing Small Parameters at the Highest Derivatives and Degenerating into Equations of First (and, in General, Odd) Order

M. I. VISHIK and L. A. LYUSTERNIK
1957 SovietRxiv: ru-195701.05369

This paper studies singular perturbations of elliptic boundary value problems in which small parameters multiply the highest derivatives and the limiting equation has odd order, including the case of a second-order elliptic equation degenerating into a first-order Cauchy problem. The authors constru…

Area covering for functions regular in an annulus

G. K. ANTONYUK
1957 SovietRxiv: ru-195701.05309

This paper studies covering area questions for functions regular in an annulus whose logarithmic derivative has winding number at least one around nontrivial contours. It revises an earlier notion of the “star” of the Riemann surface associated with such mappings, giving a construction by nested cut…

Determination of the Redox Potentials of $n$ -Hydroxyphenylglycine

Ya. M. Veprik and G. P. Faerman
1957 SovietRxiv: ru-195701.05213

This study determines the oxidation reduction potentials of p-oxyphenylglycine, a photographic developing agent, over a range of pH values in order to test relationships predicted by the electrochemical theory of photographic development. Potentiometric oxidative titrations were performed at 25 °C u…

Description of Transient Electromechanical Processes in Asynchronous Machines by Means of Equations Without Periodic Coefficients

Unknown
1957 SovietRxiv: ru-195701.05172

The paper develops a real-variable formulation for transient electromechanical processes in asynchronous machines that avoids the periodic coefficients appearing in phase-coordinate equations. Using Park transformations for stator and rotor quantities in a rotating d, q, 0 coordinate system with arb…

Strong-Focusing Accelerators with a Constant Magnetic Field\*

K. R. Symon, D. W. Kerst, L. W. Jones, L. J. Laslett, K. M. Terwilliger
1957 SovietRxiv: ru-195701.05130

In the first part of this article, we examine in detail fixed-field strong-focusing accelerators with both radial and spiral sectors. In the second part, the theory of orbits in these accelerators is developed. The third part contains a description of an annular phasotron with radial sectors for an …

On the Convergence of a Modification of the Galerkin Method

G. A. ZHDANOV
1957 SovietRxiv: ru-195701.05116

The paper studies convergence of a modified Galerkin method for linear boundary-value problems and abstract operator equations under weaker assumptions than earlier treatments requiring a positive definite self-adjoint principal operator. It constructs trial functions satisfying the boundary conditi…

On Liquid Diffusion Electrodes

R. M. Perskaya and I. A. Zaidman
1957 SovietRxiv: ru-195701.05073

A theoretical and experimental study is presented of current distribution and polarization in plane liquid diffusion electrodes with uniform porosity, accounting for finite electrode thickness and concentration changes of reacting species through the pores. The authors derive a macrokinetic equation…

Rheological Properties of Interfacial Layers at the Oil-Water Interface and Their Role in the Stability of Oil Emulsions

M. M. KUSAKOV and A. A. PETROV
1957 SovietRxiv: ru-195701.04618

This study examines the rheological properties of protective surface layers formed at oil and water interfaces, which are implicated in the stability of petroleum emulsions. Using a torsion-pendulum method with corrections for bulk-phase resistance, the authors analyze deformation behavior and chara…

On the theory of operator calculus

In Heaviside’s operational calculus one considers the operator
1957 SovietRxiv: ru-195701.04614

This note develops an analogue of Mikusiński’s operational calculus for the operator obtained by applying differentiation to t times differentiation, which is closely related to the Bessel operator after a change of variables in Bessel’s equation. It defines a convolution-type multiplication on a cl…

COLLECTIVE LOSSES IN SOLIDS\*

D. Pines
1957 SovietRxiv: ru-195701.04608

The review considers the results achieved over the past several years in understanding the collective nature of characteristic energy losses observed in the scattering of fast electrons by thin solid films. We begin with what is meant by collective and what by individual energy losses. The discussio…

Radiometric Study of the Chromatography of Divalent and Trivalent Ions in the Concentration Range from $10^{-1}$ to $10^{-9}$ N

Unknown
1957 SovietRxiv: ru-195701.04543

This study examines the role of transport phenomena in the chromatography of divalent and trivalent ions over concentrations from 0.1 to 10^-9 N, using carrier-free radioactive cerium-144 and strontium-89 on a KU-2 cation-exchange column. Radiometric tracking of ion fronts was compared with calculat…

On the Use of a Difference-Type Electrostatic Field in Charged Particle Beam Spectroscopy

M. I. KORSUNSKII and V. A. BAZAKUTSA
1957 SovietRxiv: ru-195701.04516

This paper examines the use of an electrostatic difference field for spectroscopy of charged-particle beams, with the aim of increasing dispersion while preserving focusing in compact ion-optical instruments. The authors derive first-order focusing and dispersion relations, discuss second-order aber…

On a Certain Generalization of the Variational Method

Unknown
1957 SovietRxiv: ru-195701.04295

This note generalizes the variational method for solving linear equations in a Hilbert space from positive definite self-adjoint operators to operators representable as a product of a self-adjoint operator and a closed operator. It defines generalized positivity and generalized positive definiteness…

Experimental substantiation of the chain mechanism of the heterogeneous catalytic reaction of olefin hydropolymerization occurring under the influence of carbon monoxide and hydrogen

Unknown
1957 SovietRxiv: ru-195701.04272

This paper examines whether olefin hydropolymerization under carbon monoxide and hydrogen on a solid catalyst proceeds by a radical chain mechanism. Using experimental data for ethylene, propylene, butene-1, and related olefins, the authors compare yields per initiating carbon monoxide molecule at v…

Application of a Rotating Disk Electrode to the Study of Kinetic and Catalytic Processes in Electrochemistry

==================
1957 SovietRxiv: ru-195701.04123

This paper examines the use of the rotating disk electrode for investigating electrochemical reactions coupled to homogeneous kinetic and catalytic processes in solution. It argues that the steady-state hydrodynamic conditions of the rotating disk provide advantages over the dropping mercury electro…

On the Nature of the Surface of Dehydrated Silica Gel

K. G. Krasilnikov, V. F. Kiselev, and E. A. Sysoev
1957 SovietRxiv: ru-195701.04104

This paper examines the nature of active surface centers formed during thermal dehydration of silica gel, especially the possibility that dehydrated silica surfaces contain oxygen-rich or radical sites with oxidizing properties. Using coarse-pored silica gels calcined in air or under high vacuum, th…

Contemporary International Metrological Work

G. D. Burdun
1957 SovietRxiv: ru-195701.03975

In October 1956, at a session of the International Committee for Weights and Measures, a new definition of the second was adopted and an international system of units was established. At the First International Conference on Legal Metrology, held shortly thereafter, the establishment of a new metrol…

Interaction of Dialkoxytitanoxides with Tetraalkoxysilanes

A. N. NESMEYANOV and O. V. NOGINA
1957 SovietRxiv: ru-195701.03950

This paper examines the structure and reactivity of dialkoxytitanium oxides, focusing on whether these compounds are monomeric titanium oxo species or associated polymers. Molecular weight measurements, especially by the isopiestic method in dilute solution, are used to support monomeric formulation…

Theory of Motion of Small Aerosol Particles in a Diffusion Field

B. V. Deryagin and S. P. Bakanov
1957 SovietRxiv: ru-195701.03921

This paper develops a kinetic theory for the ordered motion of small aerosol particles in a binary gas mixture with a concentration gradient, focusing on the regime in which the particle radius is much smaller than the molecular mean free paths. Using Boltzmann kinetic equations and Sonine polynomia…

Conductivity Method for the Study of Powdered Metal Catalysts in the Liquid Phase

Academician of the Academy of Sciences of the Kazakh SSR D. V. SOKOLSKII and V. V. MALAKHOV
1957 SovietRxiv: ru-195701.03900

This paper examines the use of electrical conductivity measurements to study powdered metallic catalysts in liquid media, focusing on skeletal nickel and platinum black suspended mainly in n-heptane. The authors measure the resistance of settled catalyst powders under different gas and adsorbate con…

Infrared Spectra of Some Secondary Aromatic Amines

Unknown
1957 SovietRxiv: ru-195701.03799

This paper examines the relationship between molecular structure and infrared absorption spectra for secondary aromatic amines, a class of compounds important as rubber additives but previously lacking systematic spectral characterization. The authors record solid-phase infrared spectra of diphenyla…

GENERALIZED SOLUTIONS OF MONGE—AMPÈRE EQUATIONS

z-f(x_0,y_0)=p_0(x-x_0)+q_0(y-y_0)
1957 SovietRxiv: ru-195701.03779

This paper formulates generalized solutions of Monge-Ampère equations through the geometry of convex surfaces and the prescribed weighted area of their normal images. It defines an R-area measure associated with supporting planes, relates classical twice differentiable solutions to this measure, and…

Electron Microscopic Study of the Structure of Spheroidal Graphite in Cast Iron

E. A. LEONT’EV, V. M. LUK’YANOVICH, and B. S. MIL’MAN
1957 SovietRxiv: ru-195701.03674

This study examines the unresolved structure of spheroidal graphite inclusions in magnesium treated cast iron, a material whose mechanical properties depend strongly on graphite morphology. The authors use electron microscopy of quartz replicas from undeformed isolated graphite surfaces, together wi…

On the Polymorphism of Dicalcium Silicate

Unknown
1957 SovietRxiv: ru-195701.03611

This study examines the polymorphism of dicalcium silicate, a major mineral component of Portland-cement clinker, with particular attention to disputed intermediate modifications. Using high-temperature ionization X-ray diffraction, the authors followed structural changes during heating and cooling …

Study of the Heat Capacity $c_v$ of Water and Steam in the Critical Region

Academician of the Academy of Sciences of the Azerbaijan SSR Kh. I. AMIRKHANOV and A. M. KERIMOV
1957 SovietRxiv: ru-195701.03587

This paper reports experimental measurements of the constant-volume heat capacity of water and water vapor near the critical region using an adiabatic calorimeter with thermoelectric temperature regulation. The authors examine how heat capacity changes during the transition from two-phase to single-…

On the Birational Equivalence of Elliptic Curves

Unknown
1957 SovietRxiv: ru-195701.03492

This paper studies the birational classification of elliptic curves over a field of characteristic not equal to 2 or 3, especially when the field is not algebraically closed. Using Galois descent, automorphisms of a Weierstrass model, crossed homomorphisms, and cohomology, it describes curves with a…

Formation of Hydrocyanic Acid under Strong Adiabatic Compression of Gas Mixtures

A. M. MARKEVICH, I. I. TAMM, and Yu. N. RYABININ
1957 SovietRxiv: ru-195701.03483

This paper investigates the synthesis of hydrocyanic acid during rapid adiabatic compression of nitrogen mixtures with methane or acetylene. Using a moving-piston adiabatic apparatus, the authors compressed gas mixtures to several thousand kg/cm² and determined hydrocyanic acid yields by absorption …

Boundary value problem for the equation $\psi_{\sigma\sigma}-K(\sigma)\psi_{\theta\theta}=0$ with data on a characteristic and on the lines $\sigma=\operatorname{const}$

Unknown
1957 SovietRxiv: ru-195701.03424

This paper studies a boundary value problem for the hyperbolic equation with coefficient depending on one variable, with data prescribed on a characteristic segment and on two straight lines. The problem is reduced by changes of variables to a normalized equation with a potential term, and its solut…