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This note studies Taylor coefficient estimates for holomorphic functions of several complex variables, extending Schur and Carathéodory type results from two variables to n variables. It introduces a special class of circular domains described by a parametric boundary representation, including domai…
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This paper investigates the thermophysical properties of transitional carbon forms produced by high-temperature treatment of petroleum coke, channel black, and thermal black. Specific heat and thermal diffusivity were measured at room temperature after calcination between 1000 and 3000°C, and therma…
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This paper examines the structure of Mach lines and weak shock-like disturbances in a relaxing medium, where the characteristics of relaxation hydrodynamics differ from those of equilibrium hydrodynamics. Using the problem of steady supersonic flow past a thin wedge, the authors solve the linearized…
Academician of the Academy of Sciences of the Ukrainian SSR A. P. KOMAR, Ya. KRZHEMENECK, and I. P. YAVOR
Photodisintegration of nitrogen-14 nuclei was investigated using a Wilson chamber in a 6700 oersted magnetic field and bremsstrahlung gamma rays with maximum energy 90 MeV, with event identification based on track ranges, ionization, orientations, and curvature. From 2633 events, the relative yields…
Au+cu=f,
The paper studies boundary value problems for second order elliptic and parabolic equations whose coefficients have jump discontinuities across smooth internal manifolds, with motivation from diffusion processes. Using approximation by equations with smoothed coefficients, together with Schauder est…
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This note studies positive definite Riemannian spaces whose full groups of motions have dimensions close to the maximal possible value, with particular attention to gaps in the possible dimensions. Using known gap theorems, properties of isotropy subgroups, and semireducible decompositions of the me…
B. A. BUBLIK
This note addresses Cohn-Vossen’s question on the existence of closed surfaces with more than one linearly independent infinitesimal bending. It constructs a regular closed surface of revolution by prescribing a piecewise meridian involving modified Bessel functions and matching conditions, then ide…
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The paper studies the first homogeneous boundary-value problem for a hyperbolic equation arising from a generalized eigenvalue problem, specializing to the string vibration equation with parameter-dependent characteristic directions in an admissible planar domain. It introduces boundary automorphism…
Corresponding Member of the Academy of Sciences of the USSR G. A. RAZUVAEV, E. N. ZILBERMAN
This paper investigates the acid-catalyzed self-condensation of cyclohexanone under ordinary conditions, especially in the presence of concentrated sulfuric acid and alcohol or water. The authors show experimentally that cyclohexanone, and also 2-cyclohexylidenecyclohexanone, can form a solid produc…
I. N. MININ
This note applies V. V. Sobolev’s method for integral equations with kernels depending on the absolute difference of arguments to the coastal refraction equation for electromagnetic waves with a Macdonald-function kernel. The kernel is represented as a Laplace-type integral, allowing the resolvent t…
S. R. Kholev and D. S. Poltavchenko
This paper investigates acceleration of discharge plasma and generation of strong shock waves in a low pressure gas chamber using coaxial cylindrical electrodes. The proposed method relies on interaction between a radial discharge current and the concentric magnetic field of the central electrode, p…
S. Ya. GUSMAN
This paper extends Mergelyan’s uniform approximation theorem from closed subsets of the complex plane to closed Riemann surfaces. It establishes necessary and sufficient conditions under which functions continuous on a closed set and analytic at its interior points can be uniformly approximated by r…
O. P. Maksimova, N. P. Soboleva, and É. I. Éstrin
This paper examines the autocatalytic character of martensitic transformation, focusing on structural imperfections that arise in austenite during transformation and may stimulate further nucleation. The authors analyze prior kinetic data for Fe-Ni-Mn and Fe-Cr-Ni alloys and report a targeted experi…
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This note studies semigroups of almost identity transformations of an infinite set, focusing on congruence-like stable equivalences, endomorphisms, and related partial transformation semigroups. It defines equivalences determined by finite defect thresholds and normal divisors of the group of finita…
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This paper investigates the kinetics and mechanism of oxygen chemisorption on germanium, with particular attention to obtaining an oxide-free surface suitable for adsorption measurements. Germanium powder prepared from crushed single crystals was repeatedly reduced in hydrogen and degassed under hig…
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This study examines how aggregation of quartz particles during grinding affects adsorption behavior toward water vapor compared with nitrogen. Two finely dispersed quartz samples of common origin, one ground with excess water and one additionally ground dry, were purified and characterized by volume…
T. I. POPOVA, V. S. BAGOTSKII, and B. N. KABANOV
This study examines the anodic passivation of zinc in potassium hydroxide solutions, focusing on how near-electrode concentration changes and surface film formation affect the transition from active dissolution to passivity. Using oscillographic potential-time measurements at constant current on a r…
B. N. SHELIMOV, N. N. BUBNOV, N. V. FOK, and V. V. VOEVODSKII
This paper investigates whether free hydrogen atoms are formed as primary products in electron phototransfer reactions in aqueous media. Using electron paramagnetic resonance at 77 K, the authors irradiated frozen acid solutions containing ferrous sulfate or potassium iodide, and also benzene in sul…
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This paper examines the geometric meaning of the projective curvature tensor on a differentiable manifold with symmetric affine connection. Using the invariant hyperquadric associated with each local centro-projective space, it defines a natural connection by polar correspondence and compares its cu…
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This study investigates the direct reaction of isopropyl radicals with molecular oxygen under conditions designed to exclude photochemical effects and reactions involving hydrogen or oxygen atoms. Isopropyl radicals were generated by reacting hydrogen atoms with propylene, then mixed with oxygen dow…
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The paper studies the distribution of prime k-twins, pairs of primes of the form p and p plus 2k, with emphasis on gaps between consecutive such pairs. Combining an asymptotic formula obtained by Vinogradov’s method of trigonometric sums with estimates from Selberg’s sieve, it proves gap lower bound…
T. I. Santalova, P. A. Konstantinov, and Ya. L. Gol’dfarb
This study examines the extension of reductive desulfurization methods from thiophene amines to ditertiary diamines as a route to branched higher alkylenediamines and their bis-ammonium salts, compounds of potential interest for curare-like activity. Starting from 2,2-bis(2-thienyl)butane, the autho…
V. F. ORESHKO, L. E. CHERNENKO, and N. G. SHAKHOVA
This study examines how Co-60 gamma irradiation affects the structural and mechanical properties of potato starch gels, focusing on the limiting shear stress of gels prepared from starch irradiated at doses from 1.0 to 18.2 million roentgens. Using conical plastometry, the authors find that gel plas…
V. E. PLYUSHCHEV
The paper examines the high-temperature interaction of beta-spodumene with potassium sulfate, with particular attention to reagent consumption, extraction of lithium and sodium, and the possible reversibility of the sulfate processing reaction. Sintering experiments over varied temperatures and pota…
V. L. GINZBURG and V. M. FAIN
Ginzburg and Fain address reports of strong electron paramagnetic resonance and anomalous magnetic behavior in macromolecules whose monomers and short chains are diamagnetic. They propose, as a hypothesis, that sufficiently long but finite molecular chains may acquire an antiferromagnetic ground sta…
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This article commemorates Abram Fedorovich Ioffe, presenting a biographical overview of his scientific, pedagogical, and institutional contributions to Soviet physics. It traces his early experimental work on crystals, photoelectric phenomena, and quantum evidence, then emphasizes his leading role i…
E. E. Segalova, Z. N. Markina, P. A. Rebinder
This paper examines how small electrolyte additions affect the strength of crystallization structures formed during the hardening of hemihydrate gypsum, focusing on effects not explained solely by changes in supersaturation. Using potassium chloride as a model electrolyte and comparing suspensions o…
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This note studies boundary behavior and trace problems for functions in weighted Sobolev-type classes, relating them to generalized Sobolev spaces of possibly fractional order. It establishes existence and regularity of boundary limits on subspaces for derivatives of functions with weighted highest …
A. N. Nesmeyanov, O. V. Nogina, and V. A. Dubovitskii
This paper examines the time-dependent dissociation of associated organometallic compounds in dilute solutions at constant concentration and temperature. Using cryoscopic molecular-weight measurements, the authors extend earlier observations on titanium alkoxides to alkoxy derivatives of tin, zircon…
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This paper develops an adiabatic quantum theory of electronic processes in polar solutions, focusing on electron exchange between like charged ions in a continuum, Born-type solvent model. The authors formulate the ion, electron, and solvent Hamiltonian in terms of inertial solvent polarization, tre…
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This note derives topological index relations for analytic functions in a finitely connected Jordan domain when the functions may have finitely many algebraic or transcendental branch points and poles, so that their real and imaginary parts are generally multivalued. By analyzing local representatio…
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This paper investigates the dehydration kinetics of ethyl and isopropyl alcohols in adsorbed layers on alumina catalysts of different preparation histories. Using small adsorbed amounts and measurements of olefin pressure growth, the authors compare pure alcohol decomposition with mixed ethanol, iso…
S. I. KHROMOV, E. S. BALENKOVA, O. E. LISHENOK
This study examines the catalytic transformation of cyclononane over 5 percent platinized charcoal at about 300 degrees, extending comparative work on medium-ring polymethylenes under dehydrogenation conditions. Cyclononane was synthesized from dimethyl azelate via cyclononanolone, cyclononanone, an…

This paper develops an approximate continuum model for the vertical penetration of pointed axisymmetric bodies, specifically cylindrical projectiles with conical noses, into low moisture soils represented as a plastic gas. Using dynamic compression data, shock wave propagation, mass conservation, eq…
A. V. TOPCHIEV, A. A. PROKHOROVA, Ya. M. PAUSHKIN, and M. V. KURASHEV
This study examines the oxidative polymerization of triallylboron and its effect on the polymerization of several vinyl monomers. Triallylboron was oxidized under various conditions, including exposure to oxygen, nitrogen and oxygen mixtures, benzoyl peroxide, and hydrogen peroxide, yielding yellow,…
A. G. TUKAEV
The paper treats unsteady linear filtration of a homogeneous fluid in a circular elastic stratum of variable thickness, operated by arbitrarily located wells while constant pressure is maintained on the supply contour. By transforming the pressure with the square root of the thickness function, appl…
R. G. KOSTYANOVSKII
This study investigates the reaction of ethylenimine with formaldehyde in organic solvents, a system previously known mainly from aqueous reactions yielding poorly characterized polymers. The work isolates and characterizes N-methylolethylenimine and N,N′-methylene-bis-ethylenimine, establishes thei…
V. Yu. Krylov
Krylov studies generalized measures on the space of continuous paths associated with the higher order parabolic equation involving the operator of order 2q, extending questions analogous to Wiener measure. The paper defines the measure on cylindrical sets through the Green function, proves a Feynman…
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Infrared absorption spectra were used to examine molecular addition compounds formed between selected formate and acetate esters and the metal halides TiCl4, SnCl4, AlCl3, and AlBr3. Thin solid films of the products were prepared under vacuum and analyzed spectroscopically to determine which bonds i…
Corresponding Member of the Academy of Sciences of the USSR G. A. Razuvaev, N. S. Vasileiskaya,
This paper examines the mechanism by which hexachloroethane is formed during ultraviolet irradiation of carbon tetrachloride with alcohols, contrasting radical dimerization with a possible route through intermediate chloroform. The authors use carbon-14 labeled chloroform in photochemical and metal-…
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This paper examines the surface heat balance of the Fedchenko Glacier during the summer melting season, comparing a firn area at 5000 m with an exposed ice ablation area at 3800 m. Using gradient measurements of wind speed, temperature, humidity, and solar radiation, it estimates radiative, turbulen…
S. N. Ushakov and K. V. Belogorodskaya
This paper investigates the preparation of organosilicon derivatives of polyvinyl alcohol as a means of modifying its properties. Several synthetic routes were examined, including heterogeneous reactions of polyvinyl alcohol or its alcoholates with chlorosilanes, homogeneous reactions of partially s…
A. M. ROZEN, L. M. GINDIN, and I. F. KOPP
This paper examines extraction equilibria of strong electrolytes in alcohols when the organic phase may itself contain dissociated ions, a situation indicated by the electrical conductivity of hydrochloric acid solutions in isoamyl alcohol. Using thermodynamic distribution equations with activity co…
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This study examines the potential of a platinum electrode in deoxygenated 0.8 N sulfuric acid under cobalt 60 irradiation at a high dose rate, with attention to how water radiolysis products determine the stationary electrode potential. The authors combine potential and polarization current measurem…
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A. D. Aleksandrov
This paper derives estimates for the Dirichlet problem for second order quasilinear equations with nonnegative coefficient matrix, under either Sobolev generalized second derivatives or classical twice differentiability. The argument is based on a lemma relating bounds on the equation, expressed thr…
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This paper examines the one-dimensional gas-dynamic interaction of a simple wave with a contact discontinuity, a configuration relevant to unsteady compressible flow. For adiabatic exponents of the form kappa equals (2n plus 3) divided by (2n plus 1), it formulates an exact solution in terms of a po…
T. D. VENTSEL
The paper studies a one-dimensional free-boundary problem for the heat equation in a time-dependent interval, with prescribed values at the fixed and moving boundaries and a prescribed spatial derivative at the moving boundary. Under specified sign, monotonicity, and convexity assumptions on the bou…