Showing 50 of 25456 papers

Flow past a slender blunted cone at high supersonic speed

G. G. CHERNYI
1957 SovietRxiv: ru-195701.55345

This paper studies high supersonic gas flow past a thin cone with a blunt nose, extending an earlier approximate formulation for blunted wedges to axisymmetric bodies. The blunt nose is represented by a concentrated drag force, and the flow is reduced, using the law of plane sections, to a one-dimen…

Characteristic Frequencies of Olefins

Unknown
1957 SovietRxiv: ru-195701.55260

This paper examines the characteristic vibrational frequencies of olefins and the reliability of assigning observed Raman and infrared bands to specific structural elements around the carbon double bond. Using theoretical normal-vibration calculations for representative substituted ethylenes, includ…

Study of Variations in Cosmic Radiation

S. N. Vernov, Yu. I. Logachev, A. E. Chudakov, Yu. G. Shafer
1957 SovietRxiv: ru-195701.55235

This article proposes to consider the use of an artificial Earth satellite for studying variations in cosmic radiation. With the aid of relatively simple apparatus consisting of a counter and an ionization chamber, the following phenomena can be studied: (a) variations in primary cosmic radiation, (…

Synthesis of 3-Hydroxypyrrolidines and 3-Hydroxythiolane

Unknown
1957 SovietRxiv: ru-195701.55098

This paper addresses the limited availability of general methods for preparing 3-hydroxypyrrolidine, its N-substituted derivatives, and related sulfur heterocycles. The authors develop a route based on 1,4-dichlorobutanol, obtained by lithium aluminum hydride reduction of 1,4-dichlorobutanone, and s…

On the Rate of Convergence of the Orthogonal Projection Method for the First Boundary Value Problem for Equations of Polyharmonic Type

M. I. KLYUT-DASHINSKII
1957 SovietRxiv: ru-195701.55076

This paper studies the convergence rate of the method of orthogonal projections for the first boundary-value problem for elliptic equations of polyharmonic type with constant coefficients. It constructs an orthonormal polynomial system associated with solutions of a factored differential operator, p…

Catalytic Hydrogenolysis of Sylvan over Various Catalysts

N. I. Shuikin and I. F. Bel’skii
1957 SovietRxiv: ru-195701.55010

This study examines vapor-phase catalytic hydrogenolysis and hydrogenation of sylvan, or 2-methylfuran, at 275 degrees over platinum, palladium, copper chromite, nickel on alumina, and skeletal nickel-aluminum catalysts. Reaction products were separated by fractional distillation, identified through…

On a certain class of singular integral equations

Unknown
1957 SovietRxiv: ru-195701.54757

This paper studies a singular Volterra type integral equation in two variables arising from a heat exchange problem for bodies in thermal contact. Using the Fourier transform of generalized functions in the sense of Schwartz, the equation is reduced to a convolution equation in the transformed varia…

An Example of a Bifurcation Not Leading to the Emergence of Unstable Forms of Stationary Motion

Academician of the Academy of Sciences of the Ukrainian SSR A. Yu. Ishlinskii
1957 SovietRxiv: ru-195701.54684

This paper examines a bifurcation of stationary motion in which the principal form does not lose stability, contrasting it with familiar examples such as Euler buckling and the rotating pendulum. Motivated by experiments on an elongated axisymmetric rigid body suspended by a string, it formulates th…

Theory of the Field of Local Hypercones in $X_n$

S. M. CHASHCHNIKOV
1957 SovietRxiv: ru-195701.54670

This paper develops a field theory of local hypercones in an n-dimensional space for dimensions at least four, extending earlier work on local conical surfaces and their applications to variational problems and first-order partial differential equations. It treats pseudoregular central hypercones th…

Study of the Tautomerism and Geometric Isomerism of Some Arylhydrazones by the Polarographic Method

A. E. Arbuzov and Yu. P. Kitaev
1957 SovietRxiv: ru-195701.54422

The study applies polarography to clarify the insufficiently resolved tautomerism and stereoisomerism of selected arylhydrazones in alcoholic solution. Families of polarograms were recorded over time for phenylhydrazones of aliphatic and aromatic carbonyl compounds, supported by comparison with azob…

Points of Zero Charge of Some Metals and Alloys

B. S. KRASIKOV and V. V. SYSOEVA
1957 SovietRxiv: ru-195701.54257

This study examines how the potential of zero charge of metals depends on the structure and composition of the metallic phase. Double-layer capacitance was measured by an alternating-current bridge method in acidified sodium sulfate solutions for single-crystal zinc faces and electrodeposited iron-n…

ZERO POINTS OF DILUTE SODIUM AMALGAMS

![Fig. 1. Apparatus for determining the zero points of amalgams by the dropping-weight method](image)
1957 SovietRxiv: ru-195701.54160

This study determines the potentials of zero charge of dilute sodium amalgams, a problem complicated by oxidation, decomposition in aqueous electrolytes, and polarization effects. Electrocapillary curves were measured in 1.0 N sodium hydroxide by a modified dropping-weight method with continuous sur…

Identification of the Internal Conversion Spectrum of the Long-Lived Isotopes $\mathrm{Eu}^{152}$ and $\mathrm{Eu}^{154}$

Unknown
1957 SovietRxiv: ru-195701.54156

This paper investigates the internal conversion electron spectrum associated with the long lived europium isotopes Eu-152 and Eu-154, whose complex decay and possible rare earth contaminants had hindered reliable gamma transition identification. Using a double focusing beta spectrometer with careful…

Some Tauberian Theorems for Generalized Fourier Transforms

Unknown
1957 SovietRxiv: ru-195701.54046

This note studies Tauberian questions for generalized Fourier, or Bochner-Stieltjes, transforms associated with functions of locally bounded variation whose growth is controlled by a parameter n. It asks what asymptotic information about the spectral function can be inferred from differentiability p…

Anodic passivation of chromium in acidic solutions

V. M. KNYAZHEVA and Ya. M. KOLOTYRKIN
1957 SovietRxiv: ru-195701.54044

The study examines anodic passivation of pure chromium in sulfuric acid solutions of varying concentration using potentiostatic polarization measurements and chemical analysis of dissolved chromium species. It determines the dependence of steady dissolution rate on potential, identifying active diss…

Measurement of the vapor pressure of solid solutions $\mathrm{Au}$ – $\mathrm{Ag}$ and $\mathrm{Au}$ – $\mathrm{Cu}$

Unknown
1957 SovietRxiv: ru-195701.53824

This study measures the partial vapor pressures of gold, silver, and copper over solid Au-Ag and Au-Cu alloys using a modified Knudsen effusion apparatus with radioactive isotopic tracers. Condensed evaporates were chemically separated and quantified by activity measurements, allowing calculation of…

Dispersion relations for Compton scattering on nucleons

Unknown
1957 SovietRxiv: ru-195701.53687

This paper derives dispersion relations for Compton scattering of photons on nucleons, treating the leading term proportional to the square of the electromagnetic charge and retaining strong interactions in the variational derivatives. Using causal, retarded, and advanced matrix elements of the scat…

Application of the General Theory of Approximate Methods to the Study of the Problem of Determining Eigenvalues and Eigenvectors

Unknown
1957 SovietRxiv: ru-195701.53210

The paper applies Kantorovich’s general theory of approximate methods to the perturbative determination of eigenvalues and eigenvectors of completely continuous operators in related normed spaces. By reformulating the normalized eigenvalue problem as a nonlinear functional equation, it derives condi…

FINITE SETS AND THE SCALAR PRODUCT

The scalar product is usually introduced as the sum of the products of the components of vectors with the same names
1957 SovietRxiv: ru-195701.53177

This note proposes a finite set construction from which the usual scalar product emerges as a limiting notion. It defines components, grains, symmetric grains, superposition, and a combinatorial measure of closeness between grains, then considers structures with a fixed number of elements per compon…

Polymerization of Some Compounds with Two Isopropenyl Groups

Yu. V. MITIN and N. A. GLUKHOV
1957 SovietRxiv: ru-195701.53158

This study examines the polymerization behavior of bifunctional aromatic compounds containing two isopropenyl groups under conditions analogous to ionic dimerization of alpha-methylstyrene. The authors synthesized and characterized 1,4-diisopropenylbenzene, 4,4′-diisopropenyldiphenylmethane, and 4,4…

ON EQUATIONS OF THE TYPE OF THE EQUATIONS OF NONSTATIONARY FILTRATION

We shall consider the Cauchy problem for the equation
1957 SovietRxiv: ru-195701.53050

The paper studies the Cauchy problem for a nonlinear parabolic equation of the form u_t equals the second spatial derivative of a function of time, space, and u, including equations of nonstationary filtration that may degenerate when the solution vanishes. It defines a generalized solution through …

On a new compound in the $\mathrm{NaF}$ – $\mathrm{AlF}_3$ system

V. P. MASHOVETS, M. S. BELETSKII, Yu. G. SAKSONOV, and R. V. SVOBODA
1957 SovietRxiv: ru-195701.53043

This paper examines the occurrence of an equimolecular sodium aluminum fluoride compound in the NaF, AlF3 system, where previous phase studies had generally recognized only cryolite and chiolite. Sublimates from cryolite and alumina melts in argon, especially from melts enriched in aluminum fluoride…

On the influence of second harmonics in the expansions of stator inductances and mutual inductances on the structure of transient process equations for a synchronous machine

Unknown
1957 SovietRxiv: ru-195701.53002

This paper examines how second harmonic terms in the Fourier expansions of stator inductances and mutual inductances affect the transformed equations of transient electromechanical processes in a salient-pole synchronous machine. Starting from phase-coordinate voltage, flux linkage, and torque equat…

Reconstruction of the potential from the scattering matrix for a system of differential equations

Z. S. Agranovich and V. A. Marchenko
1957 SovietRxiv: ru-195701.52945

This note studies the inverse scattering problem on the half-line for a system of second-order differential equations with a Hermitian matrix potential satisfying a first-moment integrability condition and Dirichlet boundary condition at the origin. Using a direct Marchenko-type approach, it derives…

On the Fundamental Possibility of Liquid-Phase Oxidation of Benzene to Phenol

N. M. Emanuel’ and E. T. Denisov
1957 SovietRxiv: ru-195701.52863

This paper examines whether benzene, normally resistant to direct oxidation and prone to deep combustion in the gas phase, can be oxidized to phenol in the liquid phase near its critical temperature. Autoclave experiments at 230 to 270°C and elevated pressure tested uncatalyzed oxidation, cobalt ste…

Thermal Conductivity of Tellurium

Unknown
1957 SovietRxiv: ru-195701.52852

This paper reports measurements of the temperature dependence of the thermal conductivity of purified tellurium from 10 to 500 degrees, using pressed fine-crystalline samples and a flat compensation method in vacuum, with supplementary heat-capacity measurements. The conductivity decreases to a mini…

On the Interaction of Antiprotons with Nuclei

P. E. NEMIROVSKII
1957 SovietRxiv: ru-195701.52715

This paper addresses why measured inelastic interaction cross sections of antiprotons with nuclei at 300 to 500 MeV exceed corresponding nucleon cross sections, especially when a sharp-edged nuclear model would predict near saturation. It models antiproton absorption using geometrical optics with se…

Synthesis and Study of Some Vinyl Esters of Phosphorus Acids

E. L. GEFTER and M. I. KABACHNIK
1957 SovietRxiv: ru-195701.52590

This paper reports a method for preparing vinyl esters of phosphorus acids by reacting phosphorus acid chlorides with acetaldehyde and triethylamine under cooling and reduced pressure distillation. The authors synthesize a series of substituted phosphorous and phosphinic acid vinyl esters, including…

On the Number of Limit Cycles of the Equations $\frac{dy}{dx}=\frac{cx+dy+P(x,y)}{ax+by+Q(x,y)}$ , Where $P(x,y)$ and $Q(x,y)$ Are Homogeneous Polynomials of Degree $n$

Unknown
1957 SovietRxiv: ru-195701.52442

This paper studies the maximal number of limit cycles for a planar differential equation whose nonlinear terms are homogeneous polynomials of degree n and whose origin is a singular point of the second group. By reducing the equation through linear and polar transformations, expanding the solution i…

On a condition for the unlimited applicability of S. A. Chaplygin's theorem on inequalities to systems of first-order differential equations

L. S. RAKOVSHCHIK
1957 SovietRxiv: ru-195701.52422

This paper examines why Chaplygin’s inequality theorem for a single first-order differential equation does not directly extend to systems of first-order differential equations. After giving a counterexample, it formulates additional conditions on comparison functions under standard continuity and Li…

On bounded solutions of an inhomogeneous integral equation defined on a semi-infinite interval with a kernel depending on the difference of the arguments

T. A. GERMOGENOVA
1957 SovietRxiv: ru-195701.52067

This note studies bounded solutions on a semi-infinite interval for an inhomogeneous convolution-type integral equation with symmetric kernel, extending earlier treatments that required stronger integrability and decay assumptions. Under square-integrability conditions on the kernel and free term, a…

Determination of the Vapor Pressure of Iron over Austenite

------------------
1957 SovietRxiv: ru-195701.51915

This study examines the thermodynamic properties of austenite by measuring the vapor pressure of iron over iron, carbon alloys, addressing discrepancies between earlier gas equilibrium measurements and prior Knudsen vapor pressure results. Using the Knudsen method with radioactive Fe59, vapor pressu…

On the theory of decay of a quasistationary state

Unknown
1957 SovietRxiv: ru-195701.51756

The paper examines the decay of a quasistationary quantum state through the relation between the survival amplitude and the energy distribution of the initial state, emphasizing the consequences of the spectrum being bounded below. It derives dispersion relations connecting the real and imaginary pa…