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This paper develops an invariant differential geometry for congruences of centroidal geodesic curves in a metric space of linear elements with Euclidean connection and three-dimensional base space. Using Laptev’s group-theoretic method, it defines the underlying affine and metric connection structur…
V. P. LEONOV
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…
P. PILIKA
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…
G. S. DENISOV
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…
Unknown
This paper studies existence and embedding questions for subgroups of finite groups using Chunikhin’s notions of block, separable, and reduced block divisors of a group order. It proves lemmas showing that separable and block-separable divisors are inherited by subgroups and factor groups, then deri…
Unknown
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…
I. I. POKROVSKII and Academician of the Academy of Sciences of the BSSR M. M. PAVLYUCHENKO
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…
Unknown
This study examines the adsorption and chemisorption of isopentane on a potassium-promoted alumina-chromia catalyst used for paraffin dehydrogenation. Using capillary adsorption measurements over 20 to 325 °C, the authors characterize the catalyst texture, distinguish reversible physical adsorption …
Unknown
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…
Academician A. V. Topchiev, I. A. Musaev, E. Kh. Isakova,
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…
Unknown
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…
Unknown
The paper analyzes the interaction of strong blast and shock waves with weak electromagnetic fields under simplifying assumptions that the fields do not affect the gas motion. For a point explosion in an infinitely conducting perfect gas with an initially uniform magnetic field, the authors use the …
Unknown
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…
G. N. TYURINA
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…
Corresponding Member of the USSR Academy of Sciences V. V. VOEVODSKII, and A. I. SHATENSHTEIN
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…
In the present article these results are generalized. The following main theorem holds:
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 …
Unknown
This paper studies closed rings of continuous functions on the unit circle generated by two functions that separate points, and asks when such a ring fails to coincide with the full ring of continuous functions. Extending results of Wermer, it replaces analyticity assumptions by Hölder-type smoothne…
L. M. SOIFER and V. I. STARTSEV
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. G. Gol'dman
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…
Unknown
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…
G. S. Vozdvizhenskii, G. A. Gorbachuk, and G. P. Dezider’ev
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…
N. B. Bushanskaya
L. S. PONTRYAGIN and L. V. RODYGIN
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…
Academician B. A. KAZANSKII, L. A. NAKHAPETYAN, V. T. ALEKSANYAN,
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…
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Yu. V. PLESKOV
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 …
Unknown
This note analyzes how longitudinal mixing in the phases of an exchange column affects isotope separation and the height equivalent to a theoretical plate. Starting from the standard stationary column equation and isotope exchange relations, it derives an expression in which the HETP is the sum of a…
Unknown
This paper studies cobordism-type groups of smooth manifolds embedded in Euclidean space whose normal bundles have prescribed structure groups, especially the stable oriented, unitary, and symplectic cases, and interprets these groups through the homotopy groups of Thom spaces. Using Thom’s construc…
O. A. TIMOFEEVICHEVA and P. P. PUGACHEVICH
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…
L. N. SRETENSKII and Ya. I. SEKERZH-ZENKOVICH
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…
Yu. I. LYUBICH and V. I. MATSAEV
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…
L. R. VOLEVICH
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…
V. I. RAKHOVSKII, A. P. LYUBIMOV, and V. M. GARMASH
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…
Unknown
This paper gives a precise formulation and proof of A. L. Lurie’s differential rents method for solving the balanced transportation problem with nonnegative shipping costs, supplier capacities, and consumer demands. It defines strikable systems of marked matrix elements, an ordered distribution proc…
N. T. Kudryavtsev, R. G. Golovchanskaya, and N. K. Baraboshkina
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 …
Unknown
This study examines how vulcanization affects the adhesion of several elastomer coatings to nonvulcanizing polymer substrates, using butadiene-acrylonitrile, butadiene-styrene, oil-extended butadiene-styrene, and butyl rubbers bonded to cellulose and polycaprolactam films. Adhesion was measured afte…
Full Member of the Bulgarian Academy of Sciences Lyubomir N. CHAKALOV
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…
A. N. Nesmeyanov and D. N. Kravtsov
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 …
V. A. PONOMARENKO, G. V. ODABASHYAN
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…
N. N. Govorun
This paper examines uniqueness for first kind Fredholm integral equations arising in antenna theory for a perfectly conducting body of revolution. Using Stratton-Chu representations, analyticity of axisymmetric Maxwell fields, and uniqueness of the exterior electrodynamic boundary-value problem, it …
Yu. L. Khaldina and V. A. Palm
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…
E. P. DOLZHENKO
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…
Unknown
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…
R. Kh. Burshtein, L. A. Larin, and G. F. Voronina
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…
A. V. TOPCHIEV, M. V. KURASHEV, Ya. M. PAUSHKIN, and I. F. GAVRILENKO
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 …
Unknown
This paper reports experiments on the blackening of aged X-ray film placed near freshly prepared aluminum deposits and aerosols during exposure to air. Aluminum coatings were produced by vacuum evaporation, oxidized under controlled conditions, and tested with films, barriers, air gaps, tubes of dif…
Corresponding Member of the Academy of Sciences of the USSR N. I. SHUIKIN, L. A. ERIVANSKAYA
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…
Unknown
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…
Unknown
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…
Unknown
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…