G. A. KAMENSKII
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…
V. A. SVEKLO and V. A. SYUKIYAYNEN
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…
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This paper investigates the vulcanization network structure of carboxyl-containing divinylstyrene rubbers cured with thiuram and metal oxides of magnesium, calcium, and zinc. Using equilibrium swelling measurements in benzene and in benzene containing acetic acid, interpreted through the Flory-Rehne…
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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…
Corresponding Member of the Academy of Sciences of the USSR B. A. Dolgoplosk, E. N. Kropacheva
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…
A. P. BALLOD, S. I. MOLCHANOVA, Academician A. V. TOPCHIEV,
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…
B. A. Arbuzov and Z. G. Isaeva
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 …
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This study examines whether addition products of aromatic amines with zinc halides adopt octahedral structures predicted by some covalent bonding arguments or retain the tetrahedral coordination known for zinc diammines. The authors prepared zinc chloride di-p-toluidine and investigated its crystal …
G. I. Kruglyakova
This paper examines how the magnetic susceptibility of paramagnetic salts used for calibrating astatic magnetometers varies with water content. By drying selected salts to an anhydrous state, exposing them to water vapor, and measuring both weight gain and magnetic susceptibility during hydration an…
A. B. VASIL’EVA
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…
L. M. Rozenberg, Academician A. V. Topchiev, I. B. Ushakova, I. S. Genekh,
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…
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This paper applies the ray method in elasticity to determine the intensity and form of head waves generated when a linearly polarized wave with an arbitrary front is incident on a plane interface between two elastic half-spaces. Using asymptotic expansions of displacement fields, boundary continuity…
B. B. DAMASKIN, N. V. NIKOLAEVA-FEDOROVICH, and A. N. FRUMKIN
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…
However, in the case of some alkylbenzenes aluminum chloride causes isomerization of the starting aromatic hydrocarbon.
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…
E. M. PANOV and K. A. KOCHESHKOV
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-…
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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…
A. S. DYNIN
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…
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This paper describes the synthesis of previously undescribed mixed diesters of phenylimidodithiocarbonic acid as potential plant-protection agents among carbon disulfide derivatives. The compounds were prepared by alkylating alkali-metal thioether salts formed from aromatic dithiourethanes, allowing…
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This paper examines why pressure markedly accelerates sterically hindered reactions, focusing on Menshutkin reactions for which a geometrical transition-state model can be specified. Using transition-state theory, the authors estimate the molecular contribution to the activation volume from the appr…
I. G. STOYANOVA
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…
Yu. V. VOROB'EV
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…
D. P. ZHELOBENKO
This note addresses the problem of describing nonirreducible bounded representations of the Lorentz group in reflexive Banach spaces, focusing on a broad class denoted K0. It constructs a canonical model from a representation of a one-parameter subgroup, an integer parameter, and a Banach space, and…
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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…
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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…
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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…
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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…
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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…
I. A. Bakhtin and M. A. Krasnosel’skii
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…
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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…
BLAGOVEST SENDOV
This note studies expansions of regularly monotone functions on an interval in Goncharov series associated with a prescribed sign sequence. Using classical arguments based on compactness, Rolle’s theorem, and estimates for the corresponding Goncharov polynomials, it generalizes an earlier result obt…
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I. Ya. Livshits and L. M. Korobova
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…
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The study examines the recombination kinetics of triphenylmethyl radicals in toluene, motivated by the discrepancy between the activation energy for hexaphenylethane dissociation and its heat of dissociation. Electron paramagnetic resonance was used to directly follow radical concentrations after ra…
E. N. Karaulova, D. Sh. Meilanova, and G. D. Gal’pern
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…
A. I. VEKSLER
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…
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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…
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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 …
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This note applies Zubarev’s method of additional variables to the statistical sum of a system of interacting particles, formulated explicitly for fermions with a two-particle central potential. After a unitary transformation, the Hamiltonian is separated into free-particle, oscillator, and interacti…
V. L. Broude, V. V. Eremenko, and N. N. Chikovani
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…
A. L. POLYAKOVA
This paper analyzes absorption of finite-amplitude sound in a relaxing medium where molecular translational energy can be transferred to internal degrees of freedom. Using Fay’s Fourier representation of a viscously smoothed sawtooth wave together with linear relaxation theory and irreversible therm…
Chen Chang-bai, R. P. Evstigneeva, and N. A. Preobrazhenskii
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…
M. I. Yanovskii and G. A. Gaziev
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…
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This paper presents an algorithm for constructing a Chebyshev approximation of a continuous real function on a compact set by a linear combination of given continuous, linearly independent functions. Instead of first replacing the compact set by a finite net and solving a discrete inconsistent linea…
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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…
L. N. Slobodetskiĭ
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…
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This study examines whether the logarithmic dependence of hydrogen solubility on pressure, previously observed in the palladium-hydrogen system at high lattice fillings, also applies to niobium-hydrogen and tantalum-hydrogen systems. Hydrogen solubility was measured at 620 to 680°C over pressures up…
V. N. SETKINA and D. N. KURSANOV
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…
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This study examines whether chemical treatments can homogenize cellulose by molecular weight, a property previously linked to the strength and viscosity behavior of cellulose products. Cotton and wood cellulose samples were treated with dilute nitric or hydrochloric acid, then assessed through preci…
A. V. SAVITSKII and Ya. K. SYRKIN
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…
B. M. LEVITAN
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,…