Showing 50 of 25456 papers

Toward a General Theory of Equations with Deviating Argument

G. A. KAMENSKII
1958 SovietRxiv: ru-195801.51816

This paper develops a general framework for differential equations with deviating argument, reducing them locally to equations with delays and classifying them as retarded, neutral, or advanced according to the relative orders of present and delayed derivatives. It extends the method of successive i…

Diffraction of a plane elastic wave of relative angle

V. A. SVEKLO and V. A. SYUKIYAYNEN
1958 SovietRxiv: ru-195801.51554

This paper treats the diffraction of a plane longitudinal elastic wave by a reentrant angle in an elastic medium under boundary conditions of zero tangential stress and zero normal displacement, corresponding mechanically to adhesion without friction. The authors argue that these conditions allow th…

Forms of Dependencies with Additional Possibilities for Transforming a Nomogram with an Oriented Transparent Overlay

Unknown
1958 SovietRxiv: ru-195801.51247

The paper identifies additional functional forms whose nomograms with an oriented transparent overlay allow expanded transformations beyond those previously described. It derives several classes of dependencies by eliminating auxiliary variables from systems of equations, including forms involving b…

Cis-trans isomerization of natural rubber under the influence of organoaluminum compounds and titanium tetrachloride

Corresponding Member of the Academy of Sciences of the USSR B. A. Dolgoplosk, E. N. Kropacheva
1958 SovietRxiv: ru-195801.51156

This paper examines whether components of Ziegler catalyst systems can alter the stereochemical structure of already formed natural rubber, rather than only affecting monomer addition during polymerization. Solutions of milled natural rubber in dry benzene were treated under argon with titanium tetr…

Three Types of Kinetic Curves for the Interaction of Methane and Propane with Nitrogen Dioxide

A. P. BALLOD, S. I. MOLCHANOVA, Academician A. V. TOPCHIEV,
1958 SovietRxiv: ru-195801.51143

The study examines vapor-phase reactions of methane and propane with nitrogen dioxide under varying mixture compositions, initial pressures, and temperatures. Using a vacuum apparatus with photocolorimetric recording of nitrogen dioxide consumption and manometric recording of pressure changes, the a…

On the Reaction Products of the Oxides of $\alpha$-Pinene and $\Delta^3$-Carene with Acetic Anhydride

B. A. Arbuzov and Z. G. Isaeva
1958 SovietRxiv: ru-195801.51030

This study examines the products formed when alpha-pinene oxide and delta-3-carene oxide react with acetic anhydride, with emphasis on determining the structures of previously unresolved acetates of composition C12H18O2. The authors use fractional distillation, saponification, oxidation, derivative …

On repeated differentiation with respect to the parameter of solutions of systems of ordinary differential equations with a small parameter multiplying the derivative

A. B. VASIL’EVA
1958 SovietRxiv: ru-195801.50675

This note studies higher order differentiation with respect to a small parameter in singularly perturbed systems of ordinary differential equations where the parameter multiplies the derivative of the fast variable. Building on earlier convergence and first derivative results, it formulates the dege…

Study of Paraffinic Hydrocarbons in the Kerosene Fraction of Aktash Oil from the Romashkinskoye Field

L. M. Rozenberg, Academician A. V. Topchiev, I. B. Ushakova, I. S. Genekh,
1958 SovietRxiv: ru-195801.50208

This study examines the qualitative and quantitative composition of normal paraffin hydrocarbons in the 175 to 300°C kerosene fraction of Aktash crude oil from the Romashkino field. After dehydration, desalting, vacuum distillation, removal of aromatic and sulfur compounds, urea complexation, sulfur…

On the adsorption of the $\mathrm{Cs}^+$ ion on the surface of a mercury electrode

B. B. DAMASKIN, N. V. NIKOLAEVA-FEDOROVICH, and A. N. FRUMKIN
1958 SovietRxiv: ru-195801.50185

This study examines the specific, super-equivalent adsorption of cesium ions at the surface of a mercury electrode, minimizing complications from specifically adsorbed anions by comparing sodium and cesium fluoride solutions. Differential capacitance, potential of zero charge, and electrocapillary m…

On the Synthesis of Cyclopentyl- and Cyclohexyl-Substituted Mesitylenes

However, in the case of some alkylbenzenes aluminum chloride causes isomerization of the starting aromatic hydrocarbon.
1958 SovietRxiv: ru-195801.49992

This paper examines the alkylation of mesitylene with cyclopentene and cyclohexene to synthesize cyclopentyl, cyclohexyl, and corresponding dicycloalkyl substituted trimethylbenzenes. The authors compare reactions catalyzed by anhydrous aluminum chloride and concentrated sulfuric acid, and assign st…

Plumbation Reaction

E. M. PANOV and K. A. KOCHESHKOV
1958 SovietRxiv: ru-195801.49875

This paper reports the direct introduction of lead into an organic molecule, termed plumbation, by reaction of thiophene with lead tetraisobutyrate. The authors use the solubility and stability of lead tetraisobutyrate to carry out the reaction at room temperature, isolate diisobutyrate of di-alpha-…

Some Functional Inequalities of Embedding Theorem Type

Unknown
1958 SovietRxiv: ru-195801.49814

This note establishes functional inequalities analogous to Sobolev embedding theorems for functions on domains satisfying a uniform interior sector condition, under additional local integral bounds on highest derivatives that depend on powers of diameters of sections or neighborhoods of sections. Fo…

On spaces that are nuclear in various senses

A. S. DYNIN
1958 SovietRxiv: ru-195801.49788

This note compares two notions of nuclearity for locally convex spaces, those of Grothendieck and Gel'fand, building on Raikov's result that Grothendieck nuclearity implies Gel'fand nuclearity for barrelled spaces. It proves that the two notions are equivalent in the classes of Frechet spaces and co…

Electron Microscopic Study of Objects in a Gaseous Medium

I. G. STOYANOVA
1958 SovietRxiv: ru-195801.49521

This paper describes the development and testing of an open gas microchamber for electron microscopy, designed to permit observation of objects in a gaseous medium while preserving the operating vacuum of the microscope column. The chamber used carbon coated collodion protective films and seals, all…

On the Possibility of Increasing the Resolving Power of an Emission Microscope Using an Electron Mirror

Yu. V. VOROB'EV
1958 SovietRxiv: ru-195801.49387

This paper proposes a way to improve the resolving power of an emission electron microscope by placing a plane electron mirror after the projection lens and using it as an energy filter. For a thermocathode, the author derives the electron current distribution in the image plane from the Maxwell Bol…

On the Free Energy, Heat, and Entropy of Adsorptive Displacement of Alcohols by Water from the Surface of an Oxide Catalyst

Table 1
1958 SovietRxiv: ru-195801.49256

This study examines how water affects the dehydrogenation of normal primary alcohols over a mixed oxide catalyst, focusing on the adsorption displacement of alcohols by water. Flow experiments were carried out for binary mixtures of water with n-propyl, n-butyl, and n-hexyl alcohols at 300 to 360 °C…

Types of Phase Diagrams of Titanium-Based Ternary Systems

Unknown
1958 SovietRxiv: ru-195801.49200

This paper proposes a classification of phase diagrams for ternary metallic systems based on titanium, extending previously established principles of titanium interactions in binary systems. Using factors such as chemical nature, periodic position, atomic radii, crystal lattice type, and known binar…

On Some Regularities of Solubilization in Protein Systems

Unknown
1958 SovietRxiv: ru-195801.49125

This study examines how the molecular state of gelatin in aqueous solution affects its ability to solubilize benzene, a sparingly water-soluble hydrocarbon. Purified gelatin solutions were investigated refractometrically over varying pH, concentration, and temperature, with viscosity measurements us…

A Criterion for Crystal Deformability and Adsorption Effects

Unknown
1958 SovietRxiv: ru-195801.48995

This paper develops a dislocation-based criterion for crystal deformability that connects adsorption effects with transitions between plastic flow and brittle fracture. Using dislocation pile-up models, activation barriers, and Griffith-type crack conditions, it defines a parameter measuring whether…

On Programming Arithmetic Operators

Unknown
1958 SovietRxiv: ru-195801.48840

This paper studies algorithms for automatic programming of arithmetic operators on a three-address computing machine, focusing on eliminating repeated computation and allocating working storage. It proposes a command-saving procedure that uses a function of the operation code and operands to place a…

On the Theory of Equations with Concave Operators

I. A. Bakhtin and M. A. Krasnosel’skii
1958 SovietRxiv: ru-195801.48824

This paper studies the convergence of successive approximations for fixed point equations with concave nonlinear operators in ordered Banach spaces. It formulates several convergence theorems under assumptions involving invariant cones, monotonicity, complete continuity, uniqueness of a nonzero solu…

UNIQUENESS OF THE SYMMETRIC SOLUTION OF THE PROBLEM OF LARGE DEFLECTIONS OF A SYMMETRICALLY LOADED CIRCULAR PLATE

Unknown
1958 SovietRxiv: ru-195801.48795

The paper addresses uniqueness for the axisymmetric large deflection problem of a circular plate under symmetric loading, formulated through the reduced Kármán ordinary differential system with clamped boundary conditions and no membrane stress on the contour. It derives a priori estimates, rewrites…

Polymerization of Higher Diene Hydrocarbons

I. Ya. Livshits and L. M. Korobova
1958 SovietRxiv: ru-195801.48551

This study examines whether higher diene hydrocarbon polymers can combine high strength and elasticity comparable to natural rubber and synthetic polyisoprene. The authors synthesized 2-methylpentadiene-1,3, 2-ethylbutadiene-1,3, and 2-isopropylbutadiene-1,3, then polymerized them mainly with metall…

Synthesis of $2$-methyl- and $3$-methyl-$1$-thiaindans and $2$-ethylthiaindene

E. N. Karaulova, D. Sh. Meilanova, and G. D. Gal’pern
1958 SovietRxiv: ru-195801.48354

This paper reports synthetic routes to alkyl derivatives of 1-thiaindane relevant as model semiaromatic sulfur compounds for studies of petroleum middle fractions. The authors prepare 2-methyl- and 3-methyl-1-thiaindanes by stepwise reduction of the corresponding methylthiaindene sulfones, using cat…

On the Archimedean Principle in Semi-Ordered Quotient Lineals

A. I. VEKSLER
1958 SovietRxiv: ru-195801.48278

This note studies when the quotient of an Archimedean partially ordered K-lineal by a normal sublineal remains Archimedean. It gives a necessary and sufficient condition in terms of bounded sequences from the normal sublineal and then derives simplified criteria for K-lineals with projections, K-pri…

ON THE POSSIBILITY OF THE APPEARANCE OF A SUPERFLUID STATE OF NUCLEAR MATTER WHEN \(p\)–\(p\) AND \(n\)–\(n\) INTERACTIONS ARE TAKEN INTO ACCOUNT

Unknown
1958 SovietRxiv: ru-195801.48201

This paper examines whether nuclear matter can enter a superfluid state when proton-proton and neutron-neutron interactions are considered, while neutron-proton interactions are neglected. Using methods analogous to Bogolyubov’s theory of superconductivity, it formulates a model Hamiltonian for pair…

Some Problems of Stability of Shells in the Large

Unknown
1958 SovietRxiv: ru-195801.47961

This paper examines the limits of Euler linearization in stability problems for elastic shells using the nonlinear theory of shells under Mushtari-type simplifications. For a clamped shell, the nonlinear boundary-value problem is compared with its linearized eigenvalue problem, and several theorems …

Structure of the Absorption and Photoconductivity Spectra of $\mathrm{CdS}$ Crystals at $20^\circ$ K

V. L. Broude, V. V. Eremenko, and N. N. Chikovani
1958 SovietRxiv: ru-195801.47911

The study examines the absorption and stationary photoconductivity spectra of cadmium sulfide single crystals at 20 K, with attention to distinguishing stable short-wavelength absorption from variable impurity-related narrow-line absorption. Using polarized light, photographic photometry, and low-te…

Synthesis of the Alkaloid Cinchonamine

Chen Chang-bai, R. P. Evstigneeva, and N. A. Preobrazhenskii
1958 SovietRxiv: ru-195801.47730

This communication reports the synthesis of optically active cinchonamine, an alkaloid linking quinoline cinchona alkaloids with indole alkaloids. The authors adapt a previously developed route for a pyridine analogue, beginning with ethyl 3-vinylquinuclidinecarboxylate and proceeding through conden…

Application of Frontal Analysis in Gas-Liquid Chromatography of Radioactive and Nonradioactive Gases

M. I. Yanovskii and G. A. Gaziev
1958 SovietRxiv: ru-195801.47679

This paper examines the use of frontal analysis in gas liquid chromatography for mixtures of radioactive and nonradioactive gases, addressing limitations of gas adsorption frontal analysis caused by mutual displacement and complex adsorption isotherms. The authors argue that, under low concentration…

ON EXACT SOLUTIONS OF THE EQUATIONS OF ONE-DIMENSIONAL GAS DYNAMICS WITH SHOCK AND DETONATION WAVES

Unknown
1958 SovietRxiv: ru-195801.47418

This paper extends Sedov’s exact solutions for one-dimensional unsteady motion of an ideal nonconducting gas, in which velocity is linear in distance, by matching them to shock and detonation waves propagating into a gas initially at rest with constant pressure and variable density. Using the jump c…

Estimates for Solutions of Elliptic and Parabolic Systems

L. N. Slobodetskiĭ
1958 SovietRxiv: ru-195801.47338

The paper develops a priori estimates for solutions of elliptic and parabolic systems in generalized Sobolev type spaces allowing fractional orders and arbitrary integrability exponent in part of the results. It first defines anisotropic spaces with respect to groups of variables and proves an inter…

On Hydrogen Exchange Reactions of Alkyl Chlorides with Hydrochloric Acid and of tert-Butyl Alcohol during the Replacement of Hydroxyl by Chlorine

V. N. SETKINA and D. N. KURSANOV
1958 SovietRxiv: ru-195801.47245

This study examines whether the conversion of tertiary alcohols to alkyl chlorides by concentrated hydrochloric acid proceeds through sufficiently long lived carbonium ions, using deuterium exchange as a mechanistic probe. tert-Butyl alcohol was reacted with deuterium enriched hydrochloric acid, and…

Kinetics of the oxidation of ferrocene by iodine

A. V. SAVITSKII and Ya. K. SYRKIN
1958 SovietRxiv: ru-195801.47125

The paper examines the kinetics of ferrocene oxidation by iodine in alcoholic solution as a model electron-transfer reaction involving neutral molecules. A mechanism is developed in which ferrocene first transfers an electron to iodine to form ferricinium and an unstable iodine radical ion, followed…

Lie Theorems for Generalized Shift Operators

B. M. LEVITAN
1958 SovietRxiv: ru-195801.47056

This note extends the first and second direct Lie theorems from Lie groups to families of generalized translation operators on a differentiable manifold. It defines higher-order infinitesimal operators through derivatives of the translated function with respect to the translation and base variables,…