Showing 50 of 25456 papers

Thermal Conductivity of Alkali and Rare-Earth Metal Hexaborides

S. N. L`vov, V. F. Nemchenko, Yu. B. Paderno
1963 SovietRxiv: ru-196301.66069

This paper reports systematic room-temperature measurements of the thermal conductivity of alkaline-earth and rare-earth metal hexaborides, motivated by the lack of data for these compounds and their practical relevance as thermionic emitter materials. Using a steady-state method on near-stoichiomet…

Effect of Preliminary Proton Irradiation on the Rate of Thermal Decomposition of Potassium Permanganate

Unknown
1963 SovietRxiv: ru-196301.66051

This study examines how preliminary proton irradiation affects the subsequent thermal decomposition rate of potassium permanganate, motivated by earlier findings that X-rays and gamma radiation accelerate permanganate decomposition. Potassium permanganate samples were irradiated with 4.5 MeV protons…

Effect of Pressure on the Rate of Processes in the Reaction Layer of the Condensed Phase of Burning Propellant

A. D. Margolin, P. F. Pokhil
1963 SovietRxiv: ru-196301.65974

This paper examines how pressure can directly affect processes in the reaction layer of the condensed phase during gunpowder combustion, rather than influencing burning rate only through heat flux from the gas phase. The authors analyze dispersion caused by gaseous decomposition products dissolved i…

Stationary Axisymmetric Model of a Cumulus Cloud

Unknown
1963 SovietRxiv: ru-196301.65873

This paper formulates a stationary axisymmetric nonlinear model of a cumulus cloud using dimensionless equations for radial and vertical velocity, temperature deviation, and pressure under simplifying assumptions about turbulent exchange and stratification. After showing that a small parameter permi…

On Conditions for Representing a Function of Several Variables as a Sum of a Finite Number of Plane Waves in Given Directions

B. A. VOSTRETSOV
1963 SovietRxiv: ru-196301.65775

This paper studies when a sufficiently smooth function of several real variables can be represented as a finite sum of one variable functions evaluated on prescribed linear forms, equivalently as a sum of plane waves in fixed noncollinear directions. Using homogeneous polynomials vanishing on the co…

Solvation and resolvation energy (values of $\lg\gamma_0$ ) of individual ions in nonaqueous solutions

Unknown
1963 SovietRxiv: ru-196301.65772

This paper applies a method based on the convergence of solvation energies of isoelectronic cations and anions to separate total solvation energies into contributions from individual ions in a range of aqueous and nonaqueous solvents. Using electromotive force and solubility data of varying reliabil…

On the Combined Effect of Mercury and Radioactive Radiation on the Mechanical Properties of Zinc Single Crystals

Unknown
1963 SovietRxiv: ru-196301.65743

The study examines how prolonged beta, alpha, and gamma irradiation affects the mechanical properties of mercury-coated zinc single crystals. Amalgamated specimens were irradiated for varying durations and then tensile-tested at 20 °C and minus 196 °C without irradiation during deformation. Short be…

Evaporation coefficients of liquid $\mathrm{C}_2\mathrm{H}_5\mathrm{OH}$, $\mathrm{BCl}_3$, $\mathrm{BF}_3$, and $\mathrm{CH}_4$

I. B. Amirkhanova, A. V. Borisov, I. G. Gverdtsiteli, A. T. Karamyan, R. Ya. Kucherov
1963 SovietRxiv: ru-196301.65565

This study determines evaporation coefficients for liquid boron trifluoride, boron trichloride, methane, and, for calibration, ethyl alcohol, motivated by their relevance to isotope separation by distillation. The authors use a closed-volume pressure-rise method, deriving coefficients from the linea…

On Estimates of the Rate of Convergence of Solutions of Difference Equations to Solutions of Elliptic Equations with Discontinuous Coefficients and on a Numerical Method for Solving the Dirichlet Problem

Unknown
1963 SovietRxiv: ru-196301.65469

The paper studies convergence estimates for approximating the Dirichlet problem for an elliptic equation in an arbitrary plane domain by embedding the domain in a rectangle and solving an auxiliary elliptic problem with discontinuous coefficients. It derives bounds for the convergence of the auxilia…

The Picard theorem for entire bi-analytic functions

M. B. Balk
1963 SovietRxiv: ru-196301.65206

This paper studies value distribution for entire bianalytic functions of the form B(z) = phi(z) + conjugate(z) psi(z), contrasting them with the classical Picard theorem for entire analytic functions. Using normal and quasinormal family arguments together with generalized argument principle and Rouc…

On orthogonal series not summable by linear methods

A. V. EFIMOV
1963 SovietRxiv: ru-196301.64888

This paper addresses a question of P. L. Ul'yanov concerning whether a nondecreasing majorant of the Lebesgue functions for a linear summability method can serve as a Weyl multiplier for almost everywhere summability of orthogonal series. It proves negative results for Toeplitz-regular linear method…

On the Decay of Harmonic Functions in a Cylinder

I. S. ARSHON, M. A. IGLITSKY
1963 SovietRxiv: ru-196301.64772

This note proves a Phragmen-Lindelof type uniqueness theorem for harmonic functions of three variables in a half-cylinder with arbitrary planar cross-section. Using a Laplace transform in the axial variable, Fourier integral representations, and estimates for the associated kernel, the authors show …

Application of an Optical Quantum Generator for Exciting Recombination Luminescence in Semiconductors

N. G. BASOV, L. M. LISITSYN, B. D. OSIPOV
1963 SovietRxiv: ru-196301.64741

This study investigates optical excitation of recombination luminescence in semiconductors at high nonequilibrium carrier concentrations, with relevance to semiconductor quantum generators. A pulsed ruby optical quantum generator at 6934 Å was used to excite germanium, silicon, and gallium arsenide …

Micelle Formation in Surfactant Solutions and Kinetic Wetting

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1963 SovietRxiv: ru-196301.64738

This study examines how micelle formation in dilute aqueous surfactant solutions influences kinetic wetting during impregnation of porous hydrophobic materials. Wetting ability was measured by the time required for hydrophobized cotton fabric or collodion ultrafilters to become saturated, and result…

On Equilibrium Conditions During the Reduction of Magnesium Ferrite with Hydrogen

A. A. Shchepetkin, L. G. Khromykh, V. N. Bogoslovskii, M. G. Zhuravleva, G. I. Chufarov
1963 SovietRxiv: ru-196301.64709

This study examines equilibrium conditions and phase changes during the reduction of magnesium ferrite by hydrogen at 900°C. Magnesium ferrite prepared from stoichiometric magnesium oxide and ferric oxide was reduced in a closed circulating hydrogen and water vapor system, with equilibrium oxygen pr…

On a Constructive Duality Principle in the Class of Continuous Functions Decreasing Monotonically to Zero and Convex on the Half-Line

A. F. TIMAN
1963 SovietRxiv: ru-196301.64663

This note studies best uniform approximation on the half-line of bounded monotone convex functions by functions satisfying a prescribed modulus of continuity condition. For a convex unbounded modulus of continuity, it proves a duality theorem characterizing exactly which functions of the parameter M…

Ionic Mechanism of Nitration of Unsaturated Compounds. Nitrofluorination of Olefins and Their Halogen-Substituted Derivatives

A. I. Titov
1963 SovietRxiv: ru-196301.64615

This paper examines the ionic nitration of unsaturated compounds, focusing on nitrofluorination as the conjugate addition of nitronium and fluoride ions to olefins and halogen-substituted olefins. It argues that solutions of nitric acid, dinitrogen tetroxide, potassium nitrate, or dinitrogen pentoxi…

On the Influence of the Physicochemical Properties of Trapped Gases on the Impregnation of Porous Bodies

B. V. DERYAGIN, M. A. AL’TSHULER
1963 SovietRxiv: ru-196301.64381

This paper examines how the solubility and diffusion of gases trapped in blind capillaries or fully immersed porous bodies affect capillary impregnation by liquids. Starting from earlier equations for impregnation with insoluble gases, the authors formulate a coupled description of liquid motion and…

On the Mechanism of Ammonium Perchlorate Decomposition

A. V. Raevskii, G. B. Manelis
1963 SovietRxiv: ru-196301.64358

This study examines the thermal decomposition of ammonium perchlorate single crystals, with emphasis on how reaction centers form and grow in relation to crystal structure and temperature. Using microcinematography and gravimetric kinetic measurements, the authors show that below the phase transitio…

A Generalization of a Theorem of A. F. Timan

Unknown
1963 SovietRxiv: ru-196301.64350

This paper generalizes Timan’s refinement of Jackson’s theorem for approximation of functions on finite intervals by algebraic polynomials. It establishes pointwise estimates for bounded functions in terms of arbitrary moduli of smoothness, first on a single interval and then on a finite union of in…

Catalytic synthesis of esters of $\gamma$ -ketocarboxylic acids by the method of conjugate hydrogenolysis

I. F. Bel’skii, Corresponding Member of the Academy of Sciences of the USSR N. I. Shuikin,
1963 SovietRxiv: ru-196301.64297

This paper examines the catalytic synthesis of esters of gamma-ketocarboxylic acids through conjugated hydrogenolysis of furan-containing esters. Esters of beta-furylacrylic and beta-furylpropionic acids were prepared from furfural condensation products, selectively hydrogenated where necessary, and…

Determination of the Activity of Tin Monoxide in Melts of the $\mathrm{SnO}$ – $\mathrm{SiO}_2$ System by the EMF Method

D. M. Chizhikov, M. E. Volkova, Yu. V. Tsvetkov
1963 SovietRxiv: ru-196301.64279

This study examines the thermodynamic behavior of tin monoxide in SnO-SiO2 melts, a system relevant to tin losses in pyrometallurgical slags. The authors determined SnO activity by an electromotive force method using a concentration cell without transference, after confirming the stability of liquid…

Unified Methods of Information Transmission for Discrete Memoryless Channels and Messages with Independent Components

Unknown
1963 SovietRxiv: ru-196301.63982

This paper studies uniform coding problems in which the exact statistics of a discrete memoryless channel, or of a source with independent components, are not known, but belong to prescribed consistent classes. It formulates minimax notions of channel capacity with randomized encoding and of epsilon…

Study of the Intensity of Mechanoelectron Emission during Detachment and Deformation of Polymer Films

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1963 SovietRxiv: ru-196301.63804

This paper examines mechanoelectron emission, the emission of fast electrons under mechanical action in high vacuum, during adhesive detachment and deformation of polymer films. The authors describe a vacuum apparatus combining mechanical adhesion measurements with electron detection by secondary el…

Excitation of Hypersound by Slow Electromagnetic Waves

E. M. GANAPOL’SKII, A. N. CHERNETS
1963 SovietRxiv: ru-196301.63713

This paper proposes and analyzes a method for exciting hypersonic waves in quartz using surface slow electromagnetic waves propagating along a periodic structure, motivated by limitations of cavity resonator piezoelectric excitation at very high frequencies. The authors formulate the elastic equatio…

Addition of silicon hydrides to dimethylallylferrocenylsilane in the presence of $\mathrm{H}_2\mathrm{PtCl}_6$

A. D. PETROV, E. B. SOKOLOVA, M. P. SHEBANOVA, N. I. GOLOVINA
1963 SovietRxiv: ru-196301.63619

This study examines the platinum-catalyzed addition of several silicon hydrides to dimethylallylferrocenylsilane as a route to silicon-containing ferrocene derivatives. Dimethylallylferrocenylsilane was prepared from dimethylallylchlorosilane and ferrocenyl lithium, then reacted with trialkylsilanes…

Functors in Categories of Banach Spaces

A. S. SHVARTS
1963 SovietRxiv: ru-196301.63502

This note develops a theory of functors on categories of Banach spaces, emphasizing duality, reflexivity, and operator rings. After defining bounded linear functors and natural mappings between them, it introduces dual functors through morphisms into tensor product functors and proves isometric iden…

On the limiting amplitude principle

Unknown
1963 SovietRxiv: ru-196301.63385

This note studies the large time behavior of the solution to a forced Cauchy problem for a homogeneous positive definite elliptic operator with constant coefficients, focusing on the existence of a limiting amplitude. Using the Laplace transform and analytic continuation of the resolvent kernel, it …

Extension of an Equimorphism to Infinity

Unknown
1963 SovietRxiv: ru-196301.63303

The paper studies whether equimorphisms of hyperbolic spaces extend naturally to mappings of the sphere of infinitely distant points, contrasting this behavior with the failure of such a statement in Euclidean spaces of dimension at least two. It proves that the image of any geodesic ray under an eq…

An EPR study of sensitization of the photoreaction of alcohol dehydrogenation at $77^\circ$ K

![Fig. 1. E.p.r. spectra](image)
1963 SovietRxiv: ru-196301.63170

This study uses electron paramagnetic resonance to examine the formation of alcohol radicals during ultraviolet irradiation of alcohol solutions at 77 K. Pure methanol, ethanol, and isopropanol produced only small radical concentrations under full mercury lamp irradiation, whereas solutions containi…

Effect of the Physical State of Polymers on Adhesion

S. S. Voyutskii, V. G. Raevskii, S. M. Yagnyatinskaya
1963 SovietRxiv: ru-196301.63168

This study examines how the physical state of polymers during contact formation affects adhesion, using the diffusion theory of adhesion as its interpretive framework. Peel resistance measurements for joints between polyethylene and several elastomers show that adhesion increases with contact time a…

Polymers and copolymers of ferrocene derivatives obtained by the polyrecombination method

S. L. SOSIN, V. V. KORSHAK, V. P. ALEKSEEVA
1963 SovietRxiv: ru-196301.62753

This paper examines the preparation of polymers and copolymers containing ferrocene units by the polyrecombination method. Alkyl and cyano derivatives of ferrocene, including isobutylferrocene, diisobutylferrocene, isoamylferrocene, and cyanoferrocene, were reacted with tert-butyl peroxide, and copo…

A Case of Integrability of the Equations of Motion of a Heavy Rigid Body with Cavities Filled with Fluid

P. V. Kharlamov
1963 SovietRxiv: ru-196301.62661

This paper studies the motion of a heavy rigid body with a fixed point and cavities filled with an ideal liquid, including multiply connected cavities with prescribed circulations. Starting from Zhukovskii’s equations and their standard first integrals, it seeks an analogue of the Bobylev-Steklov in…

Estimating the number of monotone Boolean functions and the complexity of an algorithm for finding a resolving set for an arbitrary monotone Boolean function

Unknown
1963 SovietRxiv: ru-196301.62637

The paper studies algorithms for determining a resolving set of an arbitrary monotone Boolean function given by an oracle for its values, representing such algorithms as decision trees whose height measures complexity. It proves a general lower bound for the height of any tree with unique terminal i…

ON CONFORMAL MAPPINGS OF DOMAINS WITH CORNERS AND ON THE DIFFERENTIAL PROPERTIES OF SOLUTIONS OF THE POISSON EQUATION IN DOMAINS WITH CORNERS

Unknown
1963 SovietRxiv: ru-196301.62624

This paper studies conformal mappings and boundary value problems in planar domains whose boundaries have a corner. Extending Kellogg’s regularity theorem, it establishes conditions under which a conformal map between domains with the same corner angle preserves Hölder smoothness up to the boundary …

Effect of High Pressure on the Structural Orientation of tert-Butylbenzene Phenylation

M. G. Gonikberg, N. I. Prokhorova, E. F. Litvin
1963 SovietRxiv: ru-196301.62442

This study examines whether high pressure can alter the structural orientation of the radical phenylation of tert-butylbenzene with benzoyl peroxide, a reaction in which ortho substitution is normally suppressed by steric hindrance. Using gas-liquid chromatography, the authors measured the isomeric …

On the Relationship Between Small Changes in a System of Differential Equations and the Corresponding Point Mapping

Yu. I. Neimark
1963 SovietRxiv: ru-196301.62438

The paper studies whether arbitrary small perturbations of the Poincare point mapping near a fixed point of a closed trajectory can be realized by comparably small perturbations of the right hand sides of the generating system of differential equations. Using coordinates adapted to the periodic orbi…

A Theorem on Homeomorphisms and Local Improvement of Smoothness up to the Boundary for Solutions of Elliptic Equations

Unknown
1963 SovietRxiv: ru-196301.62320

This note proves homeomorphism theorems for elliptic operators with general homogeneous boundary conditions in Hilbert scales, including spaces of negative norm. Using an interpolation theorem and coercive estimates, it establishes a complete set of mappings for properly elliptic boundary value prob…

On the Analytical Description of Certain Geometric Objects

Unknown
1963 SovietRxiv: ru-196301.62135

The paper introduces algebraic R-operations on real-valued functions to encode logical relations between inequalities and thereby construct analytic descriptions of geometric objects. It establishes operations corresponding to negation, conjunction, and disjunction of sign conditions, showing that t…