Showing 50 of 25456 papers

The use of the characteristic functional and semi-invariants in the ergodic theory of stationary processes

V. P. LEONOV
1960 SovietRxiv: ru-196001.38039

This paper studies ergodic and mixing properties of stationary stochastic processes using characteristic functionals, moments, and semi-invariants. It formulates necessary and sufficient conditions for ergodicity, mixing in the wide sense, mixing of finite degree, and mixing of all degrees, includin…

A supplement to S. M. Nikol'skii's embedding theorem for the class $H^{*_{(r_1,\dots, r_n)}}_{p_1,\dots, p_n}$

P. PILIKA
1960 SovietRxiv: ru-196001.38036

This note extends S. M. Nikolskii’s embedding theorem for anisotropic smoothness classes with mixed integrability exponents to a periodic setting in which the exponents may lie on both sides of a fixed exponent. The proof follows Nikolskii’s approximation method, using generalized Jackson approximat…

Manifestation of the $\mathrm{OH}\dots\mathrm{O}=\mathrm{C}$ Hydrogen Bond in the Infrared Absorption Band of the Carbonyl Group of Ketones

G. S. DENISOV
1960 SovietRxiv: ru-196001.38033

This study examines how OH...O=C hydrogen bonding appears in the infrared stretching band of ketone carbonyl groups and how the effect depends on the donor and acceptor molecules. Infrared spectra were measured for mixtures and carbon tetrachloride solutions of selected ketones with alcohols, phenol…

On Strongly Elliptic Monge–Ampère Equations

Unknown
1960 SovietRxiv: ru-196001.37948

This paper studies strongly elliptic Monge-Ampère equations with continuous coefficients and formulates conditional, or generalized, solutions through weak limits of curvature, mean curvature, and area set functions associated with convex surfaces. Building on earlier existence results, it gives suf…

Investigation of the mechanism of copper oxidation by liquid sulfur using the isotope $\mathrm{S}^{35}$

I. I. POKROVSKII and Academician of the Academy of Sciences of the BSSR M. M. PAVLYUCHENKO
1960 SovietRxiv: ru-196001.37774

This study examines the mechanism of copper oxidation by liquid sulfur, focusing on whether sulfide scale growth is controlled solely by copper diffusion or also involves sulfur counter-diffusion. Copper specimens were oxidized at 270 to 444 degrees C using radioactive sulfur-35 introduced either af…

On micelle formation in surfactant solutions

Unknown
1960 SovietRxiv: ru-196001.37651

This paper examines whether micelle formation in solutions of surface-active substances occurs at a single critical concentration or across a finite critical concentration region. Using nephelometry, dye titration, and static and dynamic surface-tension measurements for anionic, cationic, and nonion…

Study of the Individual Hydrocarbon Composition of Gasolines from Cracking of Surakhani Selected Crude Oil

Academician A. V. Topchiev, I. A. Musaev, E. Kh. Isakova,
1960 SovietRxiv: ru-196001.37559

This study examines the individual hydrocarbon composition of cracking gasolines obtained from Surakhany selected crude oil, focusing on fractions boiling below 60 degrees C and aromatic hydrocarbons in the 60 to 175 degrees C range. Narrow fractions were analyzed using gas liquid chromatography and…

Calculation of the Displacement of the Crystallization Front in a Supercooled Cloud under the Influence of Solid $\mathrm{CO}_2$

Unknown
1960 SovietRxiv: ru-196001.37526

This paper models the displacement of the crystallization front in a supercooled cloud seeded with solid carbon dioxide. Starting from a diffusion and vapor-transfer description of ice nucleus propagation, droplet evaporation, and sublimational crystal growth, the authors simplify the governing equa…

PROJECTIVE AND PROJECTIVE-METRIC TRANSPORTS IN MANIFOLDS WITH AFFINE CONNECTION AND IN RIEMANNIAN SPACES

Unknown
1960 SovietRxiv: ru-196001.37471

The paper studies transports of local centro-projective spaces and their duals over a differentiable manifold equipped with an affine connection. Using an auxiliary object with a specified transformation law, it establishes coordinate-invariant correspondences between tangent vectors, covectors, and…

On the Cohomology of Complex Homogeneous Manifolds

G. N. TYURINA
1960 SovietRxiv: ru-196001.37384

The paper studies the Dolbeault cohomology groups of simply connected compact complex homogeneous manifolds that need not be Kähler. Using Wang’s description of such manifolds and Bott’s reduction to relative Lie algebra cohomology, it relates a non-Kähler homogeneous manifold X to an associated com…

On the Influence of Metal and Solvent on the Formation of Aromatic Anion Radicals as Polymerization Initiators

Corresponding Member of the USSR Academy of Sciences V. V. VOEVODSKII, and A. I. SHATENSHTEIN
1960 SovietRxiv: ru-196001.37341

This study examines how alkali metals and ether solvents affect the formation and stability of aromatic anion radicals that can initiate polymerization. Using electron paramagnetic resonance, the authors investigated benzene and toluene reactions with lithium, sodium, and potassium in several solven…

THE MULTIPLICATIVE GROUP OF A DIVISION RING

In the present article these results are generalized. The following main theorem holds:
1960 SovietRxiv: ru-196001.37262

This paper studies the multiplicative group of a noncommutative associative division ring and its relation to the center of the ring. Extending results of Hua and Scott, it proves that the multiplicative group is not locally nilpotent and that every locally nilpotent normal subgroup is contained in …

On Some Phenomena Observed during the Deformation of Antimony Single Crystals

L. M. SOIFER and V. I. STARTSEV
1960 SovietRxiv: ru-196001.37091

This paper examines lattice defects associated with mechanical deformation, twinning, and detwinning in high purity antimony single crystals. Using selective etching of cleavage planes to reveal dislocations, the authors show that removal of mechanically produced twin lamellae does not fully restore…

A New Electroluminescence Effect in Black Carborundum

A. G. Gol'dman
1960 SovietRxiv: ru-196001.37005

This paper reports experimental observations of electroluminescence in black carborundum crystals subjected to rectangular voltage pulses, comparing known glow types associated with electron-hole junctions and point emission. Using photometric, oscillographic, and microscopic measurements at room te…

On the formation of $\alpha$-hydrate of dicalcium silicate

Unknown
1960 SovietRxiv: ru-196001.36979

This study examines the hydrothermal formation of alpha dicalcium silicate hydrate from calcium oxide and crystalline silica mixtures at 170 to 175 degrees C and 8 atm, a phase relevant to autoclaved lime-sand materials and cements. Using differential thermal analysis, X-ray diffraction, chemical an…

Mechanism of Electrolytic Polishing of Metals in Light of Electron Microscopic Studies of the Surface at Various Stages of Processing

G. S. Vozdvizhenskii, G. A. Gorbachuk, and G. P. Dezider’ev
1960 SovietRxiv: ru-196001.36915

This study examines the mechanism of electrolytic polishing of metals by comparing optical and electron-microscopic observations of rolled and annealed copper and brass at successive stages of anodic treatment in phosphoric acid electrolytes. The authors relate dissolution patterns to metallographic…

Periodic solution of a system of ordinary differential equations with a small parameter multiplying the derivatives

L. S. PONTRYAGIN and L. V. RODYGIN
1960 SovietRxiv: ru-196001.36794

The paper studies a singularly perturbed system of ordinary differential equations in which the fast variables have a unique nondegenerate periodic motion for each fixed value of the slow variables. Using a phase coordinate, a reduction to equations with the phase as independent variable, and an ave…

Dehydration of dimethylcyclopentylcarbinol in the presence of sulfuric acid

Academician B. A. KAZANSKII, L. A. NAKHAPETYAN, V. T. ALEKSANYAN,
1960 SovietRxiv: ru-196001.36765

This study examines the sulfuric acid catalyzed dehydration of dimethylcyclopentylcarbinol to determine how a five membered ring affects product formation. Dehydration with 0.1 percent concentrated sulfuric acid, followed by high efficiency rectification and Raman spectral analysis, gave three unsat…

Reduction Reactions at a Germanium Cathode

Yu. V. PLESKOV
1960 SovietRxiv: ru-196001.36718

This study examines reduction reactions at germanium cathodes to determine whether cathodic charge transfer involves free conduction electrons, valence electrons, or both. Using n-type germanium electrodes with a p-n junction collector, the work measures hole injection coefficients during reduction …

Temperature dependence of the surface tension of gallium

O. A. TIMOFEEVICHEVA and P. P. PUGACHEVICH
1960 SovietRxiv: ru-196001.36665

The paper examines the temperature dependence of the surface tension of gallium, addressing discrepancies among earlier reported values and the possible role of impurities. Surface tension was measured in vacuum from 30 to 500°C by the maximum pressure in a drop method using purified, degassed galli…

Cauchy–Poisson Problems for Finite-Amplitude Waves

L. N. SRETENSKII and Ya. I. SEKERZH-ZENKOVICH
1960 SovietRxiv: ru-196001.36600

This paper formulates and solves a finite amplitude Cauchy-Poisson problem for waves on the free surface of an infinitely deep heavy liquid bounded by vertical walls, with a prescribed initial velocity potential. Using Lagrangian variables and the Lindstedt-Poincaré method, the motion, pressure func…

On the Spectral Theory of Linear Operators in a Banach Space

Yu. I. LYUBICH and V. I. MATSAEV
1960 SovietRxiv: ru-196001.36561

This note studies spectral decomposition conditions for linear operators in Banach spaces, introducing the class of S-operators whose real spectrum can be localized by invariant subspaces associated with finite intervals. It proves that a locally correct operator, equivalently the generator of a str…

On General Systems of Differential Equations

L. R. VOLEVICH
1960 SovietRxiv: ru-196001.36464

The paper studies how to define principal terms, characteristic forms, and ellipticity for general systems of linear differential equations, where the analogue of the principal part is not uniquely determined. It introduces an order for a system via the order matrix, proves the existence of admissib…

On the Penetration of Silver into Tungsten

V. I. RAKHOVSKII, A. P. LYUBIMOV, and V. M. GARMASH
1960 SovietRxiv: ru-196001.36342

This study examines whether silver can penetrate tungsten at temperatures near 1000°C, a question relevant to silver tungsten electrical contact materials and insufficiently resolved by earlier low sensitivity studies of the Ag-W system. Tungsten plates were held for controlled times in molten radio…

Cathodic Process in the Electrodeposition of Titanium from Aqueous Solutions

N. T. Kudryavtsev, R. G. Golovchanskaya, and N. K. Baraboshkina
1960 SovietRxiv: ru-196001.36293

This study examines the cathodic processes governing electrodeposition of titanium from aqueous alkaline and acid fluoride electrolytes, with attention to titanium valence state, hydrogen evolution, cathode material, and current efficiency. Experiments using metatitanate alkaline solutions and acid …

On the domains of univalence of certain classes of analytic functions

Full Member of the Bulgarian Academy of Sciences Lyubomir N. CHAKALOV
1960 SovietRxiv: ru-196001.36193

This paper studies disks of univalence for polynomials obtained as integrals of polynomials whose derivative zeros lie outside a prescribed region, refining Kakeya’s radius estimate. Using a lemma on products of complex factors with bounded arguments, it derives a radius determined by the positive s…

Arylmercury derivatives of nitrosophenols

A. N. Nesmeyanov and D. N. Kravtsov
1960 SovietRxiv: ru-196001.36157

This study examines the behavior of arylmercury groups in the nitrosophenol, quinone oxime tautomeric system. A series of arylmercury derivatives of nitrosophenols, nitrosonaphthols, and related oximes was prepared by reaction of arylmercury hydroxides with nitrosophenols, and their structures were …

Synthesis of Organosilicon Monomers from Methylchlorosilane

V. A. PONOMARENKO, G. V. ODABASHYAN
1960 SovietRxiv: ru-196001.36146

This paper examines methylchlorosilane as a starting material for nonmetal-organic syntheses of organosilicon monomers containing alkyl, aryl, vinyl, and fluorinated substituents. The authors compare thermal condensation with chlorobenzene and vinyl chloride to platinum-catalyzed addition of methylc…

On the Problem of Reducing Basicities to a Unified Standard State. A Study of the Basicity of Acetone

Yu. L. Khaldina and V. A. Palm
1960 SovietRxiv: ru-196001.36065

The paper addresses the problem of comparing basicity constants across different solvents, focusing on acetone as a nonstandard solvent and on the role of activity coefficients in reducing basicities to a common aqueous standard state. It develops an electrical conductivity method for determining ba…

On Differentiation of Complex Functions

E. P. DOLZHENKO
1960 SovietRxiv: ru-196001.35927

This paper studies differentiation properties of complex functions on arbitrary sets and of functions approximable by rational functions. It first gives an analogue of Denjoy’s theorem, describing the possible sets of derivative numbers of an arbitrary complex function at almost every point. It then…

Radiation of Fast Particles in an Inhomogeneous Medium

Unknown
1960 SovietRxiv: ru-196001.35879

This paper analyzes radiation emitted by a fast charged particle moving through an inhomogeneous dielectric medium, with primary attention to periodically varying properties along the direction of motion. Using energy and longitudinal momentum conservation, followed by a Maxwell-equation calculation…

Effect of Water Vapor on the Interaction of Germanium with Oxygen

R. Kh. Burshtein, L. A. Larin, and G. F. Voronina
1960 SovietRxiv: ru-196001.35876

This study examines how water vapor affects oxygen adsorption and oxide film stability on germanium surfaces, a problem relevant to changes in semiconductor device properties under atmospheric exposure. Using oxygen uptake kinetics and contact potential difference measurements, the authors compare c…

Liquid-phase alkylation of benzene with propylene over aluminosilicate at low temperatures $(+20,+50,+80^\circ)$

A. V. TOPCHIEV, M. V. KURASHEV, Ya. M. PAUSHKIN, and I. F. GAVRILENKO
1960 SovietRxiv: ru-196001.35734

This paper examines the liquid phase alkylation of benzene with propylene over an industrial aluminosilicate catalyst at low temperatures, in contrast to the higher temperatures and pressures usually reported for aluminosilicate catalysis. Experiments in a fixed catalyst bed at 20, 50, and 70 to 80 …

Catalytic dehydrocyclization of $\beta$-n-butylnaphthalene

Corresponding Member of the Academy of Sciences of the USSR N. I. SHUIKIN, L. A. ERIVANSKAYA
1960 SovietRxiv: ru-196001.35621

This study examines the catalytic dehydrocyclization of beta-n-butylnaphthalene over an alumina, chromia catalyst as a route to condensed aromatic hydrocarbons. Experiments were conducted in a flow apparatus under hydrogen at 400 to 550 degrees Celsius with varying hydrocarbon space velocities, foll…

ON THE NUMERICAL SOLUTION OF THE EQUATION OF THE MAGNETIC FIELD IN IRON WITH ALLOWANCE FOR SATURATION

Unknown
1960 SovietRxiv: ru-196001.35597

The paper addresses numerical solution of the nonlinear plane equation for magnetic potential in iron when saturation is represented through a permeability depending on the squared gradient of the potential. It formulates a finite difference scheme analogous to stationary heat conduction with variab…

MOTION OF A CONDUCTING PLASMA UNDER THE ACTION OF A PISTON

Unknown
1960 SovietRxiv: ru-196001.35544

This paper applies previously derived asymptotic one-dimensional relations for conducting plasma motion to the problem of a plasma in a tube driven by a piston with uniformly accelerated displacement. Assuming that a strong shock forms almost immediately, the analysis determines the time function en…

The Area Principle in the Problem of Non-Overlapping Domains

Unknown
1960 SovietRxiv: ru-196001.35534

The paper develops an area principle for systems of conformal maps from the unit disk onto pairwise non-overlapping simply connected domains in the extended plane. By applying an area computation to auxiliary functions regular in the complement of truncated image domains, it derives coefficient ineq…