Showing 50 of 25456 papers

Solution of a system of quasilinear equations in divergence form under periodic boundary conditions

M. I. VISHIK
1961 SovietRxiv: ru-196101.12512

This note studies systems of quasilinear elliptic equations in divergence form on an n-dimensional torus under periodic boundary conditions. Using a Galerkin approximation with trigonometric basis functions and a topological lemma for finite nonlinear systems, it establishes existence of weak soluti…

Synthesis of 1,14-Tetradecanedicarboxylic and 1,15-Pentadecanedicarboxylic Acids

G. I. NIKISHIN, G. V. SOMOV, and Corresponding Member of the USSR Academy of Sciences A. D. PETROV
1961 SovietRxiv: ru-196101.12470

This paper describes a synthetic route to high molecular weight alpha, omega dicarboxylic acids, specifically 1,14 tetradecanedicarboxylic acid and 1,15 pentadecanedicarboxylic acid. The method uses free radical addition of cyclopentanone or cyclohexanone to undecylenic acid in the presence of tert …

Polycondensation of acetone and other carbonyl-containing compounds

Academician V. A. Kargin, V. A. Kabanov, V. P. Zubov, I. M. Papicov,
1961 SovietRxiv: ru-196101.12449

This paper examines whether ordered arrangements of monomer molecules can promote polycondensation, extending earlier observations on ordered systems in polymerization. The authors report the synthesis of high molecular weight, heat resistant polyvinylenes from carbonyl compounds such as acetone, ac…

Various Types of Invariant Systems of the Simplest Structure

Unknown
1961 SovietRxiv: ru-196101.12416

This paper extends the study of invariant first-order differential systems expressed through exterior differentiation and its metric adjoint beyond previously treated elliptic and hyperbolic cases. It constructs parabolic, semi-degenerate parabolic, and intermediate systems on covariants, relates th…

ON THE EXISTENCE OF PERIODIC SOLUTIONS IN CERTAIN NONLINEAR SYSTEMS

Consider the system of differential equations
1961 SovietRxiv: ru-196101.12221

The paper gives sufficient conditions for the existence of a periodic solution in a nonlinear nonautonomous system of differential equations with a constant linear part and a continuous time-periodic perturbation satisfying uniqueness. It considers the Poincare transformation over one period and com…

On the Polymorphism of Crystalline Polypropylene

V. A. KARGIN and I. I. GORINA
1961 SovietRxiv: ru-196101.11744

This communication reports electron microscopic observations of morphological polymorphism in crystalline stereoregular polypropylene prepared from very dilute xylene and decalin solutions. High molecular weight polypropylene solutions were heated near the solvent boiling point, slowly cooled, depos…

ON A NONSTATIONARY PROBLEM OF MAGNETOHYDRODYNAMICS

Unknown
1961 SovietRxiv: ru-196101.11663

This paper studies the unsteady boundary-layer flow past a flat plate of a viscous incompressible electrically conducting fluid in a constant transverse magnetic field, assuming negligible induced magnetic field and unit Prandtl number. The magnetohydrodynamic momentum and energy equations are refor…

On Infinite-Dimensional Spaces

Unknown
1961 SovietRxiv: ru-196101.11465

This note studies weakly infinite-dimensional spaces and transfinite dimension in dimension theory. It extends Hurewicz-type theorems on dimension-lowering mappings to weakly infinite-dimensional bicompact and strongly paracompact spaces, proving criteria under which a space or the domain of a close…

Dispersion of Optical Rotation of Cedrane Series Compounds

Unknown
1961 SovietRxiv: ru-196101.11455

The paper reports a spectropolarimetric study of optical rotatory dispersion in cedrane derivatives, a class for which comparable data were not previously available. Rotatory-dispersion curves were measured in solution for cedrol, primary cedranol, isocedranol, isocedranone, alpha-cedrene, cedrenal,…

Effect of Phosphates and Polyphosphates on the Solubilizing Capacity of Detergents

P. A. Demchenko and A. V. Dumanskii
1961 SovietRxiv: ru-196101.11429

This study examines how phosphate and polyphosphate additives affect the solubilizing ability and micellar properties of soap detergent solutions. Using a direct volumetric method, the authors measured limiting solubilization of toluene and heptane in sodium laurinate and sodium naphthenate solution…

CYBERNETICS AND THE THEORY OF REGULATION

Yu. V. GLEBSKII
1961 SovietRxiv: ru-196101.11337

The paper studies coding by discrete devices with finite memory without requiring synchronization between input and output, generalizing usual memoryless coding and finite automaton models. It defines finitely determined operators and finitely enumerable sets of words, relates them to finite-state s…

Synthesis and Some Transformations of Secondary $\gamma$-Silicon-Containing Acetylenic Alcohols

Corresponding Member of the Academy of Sciences of the USSR M. F. Shostakovskii,
1961 SovietRxiv: ru-196101.11336

This paper describes the synthesis of secondary gamma silicon containing acetylenic alcohols by reacting chlorosilanes with dimagnesium bromide derivatives of secondary acetylenic alcohols. The authors prepare trimethylsilyl and triethylsilyl pentynol derivatives and characterize them by boiling poi…

Synthesis of Azoferrocene, Its Reduction, and Behavior under the Conditions of the Benzidine Rearrangement

Unknown
1961 SovietRxiv: ru-196101.11247

This study examines whether azoferrocene undergoes transformations analogous to the benzidine rearrangement of azobenzene and related intramolecular rearrangements in benzene chemistry. Azoferrocene was synthesized from ferrocenyl lithium and nitrous oxide, then treated with strong acids and reducin…

Anisotropy of Cathode Sputtering of Single Crystals

V. A. MOLCHANOV, V. G. TEL’KOVSKII, and V. M. CHICHEROV
1961 SovietRxiv: ru-196101.11128

This paper reports quantitative measurements of the angular dependence of cathode sputtering from the (100) faces of copper and nickel single crystals bombarded by 27 keV singly charged argon ions. Using oriented and annealed single-crystal targets, the authors measured sputtering coefficients as th…

MINIMAX PROBLEMS IN THE THEORY OF DIFFUSION PROCESSES

Unknown
1961 SovietRxiv: ru-196101.11025

The paper studies two-person minimax games associated with diffusion processes whose drift is modified by competing vector fields subject to local convex constraints. For payoffs given by the expected boundary value plus an additive running functional, the argument connects the value of the game to …

On the Synthesis and Properties of Polyacetylene

V. V. Korshak, V. I. Kasatochkin, A. M. Sladkov, Yu. P. Kudryavtsev, and K. Usenbaev
1961 SovietRxiv: ru-196101.10964

This paper investigates the synthesis of polyacetylene by oxidation of copper acetylide formed from acetylene and divalent copper salts, proposing a mechanism involving polyynes and acetylide intermediates. The obtained black, carbon-rich insoluble product is characterized by elemental analysis, the…

Infrared Spectra and Structure of Some Nonbenzenoid Aromatic Compounds

B. E. ZAITSEV, Yu. N. SHEINKER, and Yu. D. KORESHKOV
1961 SovietRxiv: ru-196101.10879

This paper examines whether infrared carbonyl absorption can characterize bond polarization and aromaticity in nonbenzenoid aromatic carbonyl compounds, focusing on tropone, diphenylcyclopropenone, and 3-ethylsydnone. The authors measured the positions and integral intensities of carbonyl bands in l…

Effect of Palladium Addition on the Rate of Interaction of Solid Acetates with Hydrogen Sulfide

A. P. Buntin, V. N. Neustroeva
1961 SovietRxiv: ru-196101.10877

This study examines how palladium powder affects the topochemical interaction of hydrogen sulfide with solid acetates of mercury, copper, cadmium, chromium, barium, iron(II), and iron(III). Reaction rates were measured under dynamic conditions at 25 °C from changes in the mass of the solid phase, wh…

Determination of copper in ores with guaranteed accuracy to the second decimal place at a content of about 0.5%

V. B. Sokolovich, I. P. Onufrienok, B. N. Besprozvannykh
1961 SovietRxiv: ru-196101.10866

This paper examines methods for determining copper in ores at approximately 0.5 percent content with accuracy sufficient to guarantee hundredths of a percent. The authors compare iodofluoride, rhodanide, and gravimetric approaches, considering effects of ore decomposition, titration end points, inte…

Coprecipitation of Selenium and Tellurium with Collectors

I. P. Onufrienok, V. M. Aksenenko, E. S. Novikova
1961 SovietRxiv: ru-196101.10855

This paper investigates collectors for the quantitative coprecipitation of selenium and tellurium at low concentrations, with attention to conditions useful for separation from copper and platinoid metals. Experiments compared ferric, aluminum, bismuth, and cerium ions for selenites and tellurites i…

Study of Ore from the Rozhdestvenskoye Deposit in Tomsk Oblast as a Hydrogen Sulfide Absorbent

K. K. Stramkovskaya, A. S. Pozhitnaya
1961 SovietRxiv: ru-196101.10844

This study evaluates bog ore from the Rozhdestvenskoye deposit in Tomsk Oblast as an absorbent for fine purification of gas from hydrogen sulfide. The authors characterize the deposit and selected ore samples by chemical and mineralogical composition, then test absorptive capacity using ore based ma…

Isolation of Carbazole from Crude Anthracene Using Paraformaldehyde

V. P. Lopatin, E. E. Sirotkina
1961 SovietRxiv: ru-196101.10833

This study examines the isolation of carbazole from crude anthracene by replacing aqueous formaldehyde with paraformaldehyde in the established conversion of carbazole to soluble 9-oxymethylcarbazole. Enriched anthracene from the Kemerovo coke-chemical plant was treated in ethanol at 80°C with paraf…

On the Approximate Solution of Volterra Equations of the Second Kind by the Method of Iterations

Yu. N. SHAKHOV
1961 SovietRxiv: ru-196101.10824

The paper studies approximate solution of linear Volterra integral equations of the second kind with smooth kernels and free terms. It adapts Ryaben’kii interpolation formulas based on number theoretic grids, first proving an interpolation error estimate for functions with bounded derivatives of ord…

On polymers with claw-like bonds derived from 8-hydroxyquinoline

P. I. Aristov, V. V. Konstantinov
1961 SovietRxiv: ru-196101.10822

This study describes the preparation and preliminary characterization of a novolac-type resin obtained by condensing 8-hydroxyquinoline with formaldehyde in the presence of acid catalysts, with the aim of producing polymers containing pincer-like chelating groups. The resin was examined through solu…

Brown Coals of the Tugan District of Tomsk Oblast

I. V. GEBLER, S. I. SMOLYANINOV
1961 SovietRxiv: ru-196101.10811

This paper examines drill-sample brown coals from the Tugan district of Tomsk Oblast, focusing on their moisture, ash content, density, combustible mass composition, bitumen content, and low-temperature carbonization behavior. The authors relate specific gravity of briquetted dry coal to ash content…

Reactivity of Peat Coke and the Effect of Ore and Flux Additives on It

K. K. Stramkovskaya, V. K. Borodin, V. M. Dinelt
1961 SovietRxiv: ru-196101.10800

This study examines the reactivity of peat coke intended for metallurgical fuel and gasification applications, with particular attention to the effects of temperature, reagent contact time, and additions of iron ore and limestone flux. Peat briquettes from the Tagan bog were prepared with selected a…

Effect of Temperature and Heat Carrier Velocity on the Artificial Drying of Molded Peat

N. M. SMOLYANINOVA, Ya. L. KOTLIKOV
1961 SovietRxiv: ru-196101.10789

This study examines artificial thermal drying of molded peat intended for metallurgical use, focusing on how flue-gas temperature and heat-carrier velocity affect drying time and mechanical quality. Experiments were conducted at drying temperatures from 80 to 180°C and heat-carrier velocities of 0.4…

Effect of Iron Ore and Flux Additives on the Properties of Peat as a Metallurgical Fuel

I. V. Gebler, S. I. Smolyaninov, V. E. Potapenko, V. I. Kosolapov
1961 SovietRxiv: ru-196101.10777

This study examines whether iron ore and flux additives can be incorporated into raw molded peat to produce fuel, ore, and slag-forming materials suitable for metallurgical use, especially in low-shaft or oxygen-enriched blast-furnace processes. Experiments mixed Bakchar iron ore or limestone and li…

Indirect Method for Determining the Plasticity of Clays

I. V. GEBLER
1961 SovietRxiv: ru-196101.10766

This paper proposes an indirect method for assessing clay plasticity by measuring the resistance of pressed dry-clay briquettes to washing in moving water. The procedure forms standardized cylindrical briquettes from air-dry, sieved clay, washes them under fixed reciprocating-motion conditions for o…

On the Solubility of Clays in Acids and the pH of Clays

G. N. KHODALEVICH, T. G. SAKOVICH, O. K. OVECHKINA
1961 SovietRxiv: ru-196101.10755

This study examines how mineralogical composition and calcination temperature affect the extraction of aluminum oxide from clays by hydrochloric acid, and how these factors relate to the pH of clay aqueous extracts. Montmorillonite, kaolinite, and hydromicaceous clays were calcined for one hour at t…

Refractory Clays of the Tugan Deposit

P. G. USOV, E. A. GUBER
1961 SovietRxiv: ru-196101.10744

This paper evaluates refractory clays from the Tugan deposit in Western Siberia as a potential local raw material for regional refractory and metallurgical plants. It describes their occurrence as a byproduct of placer concentration and characterizes their color, chemical composition, mineralogy, an…

Investigation of the Hardening Processes of Lime-Ash Binder by X-ray Analysis and Electron Microscopy

P. G. USOV, N. S. DUBOVSKAYA
1961 SovietRxiv: ru-196101.10733

This study examines the hardening of lime and fly ash binder through X-ray diffraction and electron microscopy, building on earlier chemical and thermal analyses of the same system. The authors compare initial materials, mechanical mixtures, and hardened lime with silica gel or ash after moist curin…

Detection of cadmium ions in the presence of copper ions

V. M. Aksenenko
1961 SovietRxiv: ru-196101.10722

This paper proposes a rapid qualitative method for detecting cadmium ions in the presence of copper ions during hydrogen sulfide scheme analysis. The method relies on quantitative precipitation of copper from weakly acidic sulfuric acid solution with hydrazine sulfate, while cadmium remains in the f…

Determination of Selenium and Tellurium in Copper Electrolysis Slimes

I. P. Onufrienok, V. M. Aksenenko
1961 SovietRxiv: ru-196101.10711

This paper addresses the analytical difficulty of determining selenium and tellurium in copper electrolysis slimes containing large amounts of copper and noble metals that interfere with common precipitating reagents. The authors develop a gravimetric procedure based on quantitative coprecipitation …

On the Determination of Tellurium in Tellurates

I. P. Onufrienok, V. B. Sokolovich
1961 SovietRxiv: ru-196101.10700

A procedure is described for determining tellurium in tellurate solutions, addressing the difficulty that common reducing agents do not directly precipitate elemental tellurium from tellurates, especially at low concentrations. The authors investigate precipitation by sodium sulfite in moderately ac…

Nephelometric Determination of Aluminum as Cryolite

Yu. L. LELCHUK, B. N. BESPROZVANNYKH
1961 SovietRxiv: ru-196101.10689

A nephelometric procedure is examined for determining aluminum by precipitation as the sparingly soluble sodium aluminum fluoride compound 11NaF·4AlF3, using the known low solubility of cryolite-type precipitates in excess sodium fluoride. Experiments with aluminum sulfate, chloride, and nitrate sol…

On the Determination of Interfering Metals in the Photocolorimetric Determination of Small Amounts of Cobalt in Ores with alpha-Nitroso-beta-naphthol

Yu. L. Lelchuk, L. L. Skripova
1961 SovietRxiv: ru-196101.10678

This paper addresses the separation of interfering metals in the photocolorimetric determination of trace cobalt in ores using beta-nitroso-alpha-naphthol. The authors compare alternatives to their earlier cupferron extraction procedure, finding that acetate precipitation and persulfate oxidation we…

Solubility of Silver Bromate in Aqueous Solutions of Manganese, Cobalt, Nickel, and Copper Nitrates and Sulfates

Yu. L. Lel’chuk, B. B. Sokolovich, L. L. Skriptova
1961 SovietRxiv: ru-196101.10666

The study examines how aqueous nitrates and sulfates of manganese, cobalt, nickel, and copper affect the solubility behavior of silver bromate at 25°C over electrolyte concentrations from 0.001 to 1 mol/l. Using gravimetric and iodometric determinations, the authors measured silver bromate solubilit…

Influence of the Structure of Alkylaromatic Hydrocarbons on the Kinetics of Their Dehydrogenation

O. K. BOGDANOVA, A. A. BALANDIN, and I. P. BELOMESTNYKH
1961 SovietRxiv: ru-196101.10650

The study examines how introducing a methyl substituent into the benzene ring affects the catalytic dehydrogenation kinetics of an ethyl side chain, using ethyltoluene conversion to vinyltoluene as the test reaction. Flow experiments on a mixed oxide catalyst measured product formation, hydrogen evo…

Research in the Chemistry of Carbazole Derivatives

V. P. Lopatinskii, E. E. Sirotkina
1961 SovietRxiv: ru-196101.10644

This paper describes a direct method for preparing poly(9-vinylcarbazole) from carbazole and vinyl acetate, avoiding separate isolation and polymerization of the toxic 9-vinylcarbazole monomer. The authors carry out the reaction in aliphatic ketone solution at low to moderate temperature using dival…

Research in the Chemistry of Carbazole Derivatives

V. P. Lopatinskii, E. E. Sirotkina, M. M. Anosova
1961 SovietRxiv: ru-196101.10633

This study examines the acetylation of 9-methylcarbazole as a route to 9-methyl-3,6-diacetylcarbazole, a potential precursor for divinylcarbazoles and heat-resistant dielectric polymers. Using acetyl chloride in dry benzene with a small amount of acetyl bromide, the authors varied solvent, temperatu…

On the densities of hyperimmune sets

E. A. PAVLOVA
1961 SovietRxiv: ru-196101.10624

The paper studies Medvedev’s density relation on subsets of the natural numbers, with emphasis on hyperimmune sets, whose densities are below that of the full set of natural numbers. It characterizes the induced partially ordered structure of density degrees, introduces rarefied and weakly rarefied …