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The paper addresses the isomorphism problem for finitely defined structures by relating them to free extensions of finite structuroids. It defines irreducible tabular systems of relations, finitely free extensions, bases of finite structuroids, and removable elements, then proves that every finite s…
Academician A. N. NESMEYANOV, V. A. SAZONOVA, V. N. DROZD
This paper examines the synthesis and reactivity of oxyferrocene derivatives, with particular attention to the behavior of ferrocenyl allyl ether and the preparation of 1,1′-dioxyferrocene derivatives. Ferrocenyl allyl ether was prepared in good yield but did not undergo Claisen rearrangement under …
Unknown
This paper reports a synthetic route to a tricyclic analogue of corticoid hormones, trans-1-hydroxy-1-acetoxyacetyl-6-acetoxy-4,5-(4′-methoxybenzo)-hydrindane, designed to introduce dioxyacetone and glycerol-type side chains into a trans-fused polycyclic system. Starting from a trans cyclopentyliden…
F. I. FRANKL’
The paper studies the direct problem of steady flow past a smooth profile by a sonic stream, treated in first approximation by the hodograph method. Starting from earlier inverse constructions and from known solutions for polygonal profiles, it linearizes the boundary conditions for a small perturba…
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G. V. KUPINSKAYA and Academician of the Academy of Sciences of the Ukrainian SSR E. A. SHILOV
This paper examines whether the chloro-cation is an active chlorinating species in aqueous hypochlorous acid reactions, addressing conflicting interpretations of kinetic data for aromatic chlorination. Using anisole as a substrate, the authors measure rates of active chlorine disappearance at 0 degr…
O. V. SARMANOV and V. K. ZAKHAROV
This paper extends the notion of the maximal correlation coefficient from two random variables to multiple correlation among random variables with a joint density. It defines maximal correlation between random vectors formed from nonintersecting subspaces through an extremal bilinear functional, rel…
G. M. NIKOLSKII
This paper examines the excitation of neutral oxygen lines in the solar chromosphere, focusing on the infrared O I triplet near 8446 Å and the quintet near 7774 Å. Using stationarity equations for simplified triplet and quintet level systems, it evaluates the role of Lyman beta radiation in resonant…
Unknown
This study examines whether aging in sulfur vulcanizates primarily involves oxidative scission of polymer molecular chains or rupture of transverse sulfur cross-links. Chemical stress relaxation was measured under constant compression for natural rubber and sodium-butadiene rubber vulcanizates conta…
V. F. Kucherov, L. A. Yanovskaya, and B. G. Kovalev
This study examines the controlled saponification of tetraethyl acetals derived from beta-dicarbonyl compounds and ethoxydialdehydes as a route to synthetically useful carbonyl compounds. Acid-catalyzed hydrolysis with limited water is shown to give beta-formylvinyl ethers, substituted malonic diald…
Unknown
Systematic spectrographic and electrophotometric observations at Abastumani in 1958 to 1959 were used to study variations of the H alpha 6562 Å line in the night-sky glow and to compare them with oxygen and hydroxyl emissions. The authors measured relative line intensities from photographic spectra,…
V. G. SOLOV’EV
This paper examines quartet correlations of nucleons of the alpha particle type in light nuclei and their relation to observed binding energy systematics. Within a shell model framework, the author introduces a model Hamiltonian for interactions between nucleon pairs, applies Bogolyubov’s variationa…
Unknown
This note studies the limiting term and filtration structure of the Adams spectral sequence modulo a fixed prime. It introduces p-spaces and p-systems, proves the existence and uniqueness, up to singular homotopy type, of a maximal p-system, and uses this construction to define a natural filtration …
V. M. VDOVENKO, E. K. LEGIN, O. B. STEBUNOV, and V. A. SHCHERBAKOV
This communication examines proton relaxation in hydrogen peroxide solutions exposed to ultraviolet radiation, motivated by earlier observations that radiolysis and peroxide decomposition can shorten proton relaxation times. Using nuclear magnetic relaxation measurements on hydrogen peroxide solutio…
Unknown
The paper analyzes a converging spherical shock wave in a plastic compressible medium under a simplified compression law in which material behind the front reaches a limiting density. Using Lagrangian variables, the author derives equations for motion, pressure, and velocity in a spherical layer wit…
V. P. GURARII
The paper extends the Fourier transform in the weighted Hilbert space \(L_\varphi^2\), where the scalar product is defined with a positive weight \(\varphi\), under weaker assumptions than earlier work of Akhiezer. For weights extending to entire functions of zero order and class \(A\), it proves an…
Unknown
This paper examines depolarization of fluorescence in dye solutions when excitation energy is transferred either radiatively or by nonradiative migration. Using existing dipole-interaction theory, the authors compare predicted polarization values for secondary fluorescence and test them experimental…
A. V. Nikolskaya, V. A. Geiderikh, and Corresponding Member of the USSR Academy of Sciences Ya. I. Gerasimov
This study determines thermodynamic properties of indium antimonide, a zinc-blende semiconductor compound, from electromotive force measurements of concentration cells containing liquid indium, a molten potassium chloride, lithium chloride electrolyte with indium monochloride, and solid InSb plus an…
B. P. BERING, Academician M. M. DUBININ, E. G. ZHUKOVSKAYA
This study examines how physical modification of activated carbon by adsorbed water, methyl alcohol, or benzene affects nitrogen vapor adsorption at liquid nitrogen temperature. The authors used a rapid helium cooling method to preserve adsorption equilibria established at 20 degrees C, measured nit…
Unknown
This paper constructs approximate unsteady transonic potential flows of an ideal gas near the critical section of a Laval nozzle with two symmetry planes. Starting from the standard unsteady transonic equation, the authors introduce a special form of the axial velocity perturbation that reduces the …
Ya. S. Bobovich, V. V. Perekalin, and A. S. Sopova
This paper addresses the structural assignment of products formed by reacting beta-bromo-beta-nitrostyrene with several active methylene compounds in the presence of triethylamine, for which several isomeric formulas were chemically plausible. The authors use Raman scattering intensities of bands as…
F. I. VILESOV
This paper reports photoionization measurements of first ionization potentials for several organic dyes and complex organic molecules in the gas phase, including sparingly volatile compounds examined in a heated demountable metal ionization cell. The data show a regular decrease in ionization potent…
Unknown
This paper studies the asymptotic behavior, as the step parameter tends to zero, of a functional of a two-dimensional random walk defined by the expected value of a boundary function at first exit into a half-plane. Under assumptions on uniqueness, finite moments, and an expansion of the jump densit…
A. B. BRUKER, L. D. BALASHOVA, and L. Z. SOBOROVSKII
This paper investigates synthetic routes to organoelement compounds containing direct bonds between Group IV elements, silicon or tin, and Group V elements, phosphorus or arsenic. Reactions of alkali metal hydrophosphides, alkylhydrophosphides, and hydroarsenides with monohaloalkyl derivatives of si…
Al. A. MARKOV
The paper studies when an alphabetic coding, defined by replacing each letter of one alphabet with a nonempty word over the same or another alphabet, is uniquely decodable and therefore reversible. Markov reduces the general uniqueness problem to checking a finite dictionary of bounded word length, …
V. A. Kargin, P. V. Kozlov, R. M. Asimova, L. I. Anan'eva
This paper examines mechanisms of plasticization in rigid-chain polymers, using cellulose as a model system and comparing plasticizers with different degrees of compatibility. Thermomechanical measurements were made on cellulose samples containing guanidine thiocyanate or urea, and the results were …
Unknown
This study measures the low-temperature heat capacity of linear polymers without rotating side radicals, focusing on polyethylene and trifluoroethylene as tests of theoretical predictions about interchain interactions. Using an adiabatic calorimeter, heat capacities were determined for polyethylene …
Unknown
This note studies upper bounds for the number of zeros of the Riemann zeta function in rectangles near the line sigma equals 1, expressed through the exponent kappa of Delta in standard zero density estimates. It applies recent estimates of I. M. Vinogradov for trigonometric sums, together with auxi…
O. V. SARMANOV
The paper introduces maximal and intrinsic correlation functions for stationary real processes and applies them to stationary Markov processes whose two-dimensional densities are symmetric and square-integrable in a specified sense. It shows that such a density defines a continuous Markov process pr…
D. P. TIMOFEEV
This paper examines why the time required to establish sorption equilibrium varies widely across different regions of sorption isotherms, even when no chemical interaction or absorption complicates the process. Treating adsorption and capillary condensation as diffusion-controlled transport in porou…
The equation for the maximum current of an irreversible polarographic wave,
This paper derives a kinetic expression for the peak current of an irreversible wave in oscillographic polarography that depends on the standard rate constant and peak potential rather than on the diffusion coefficient or the rate of potential change. Starting from the diffusion integral relation at…
N. S. DROZDOV and V. P. KRYLOV
This paper examines the preparation, structure, hydration, and color of salts of violuric and 2-thiovioluric acids, motivated by earlier interpretations of their color changes as chromoisomerism and pantochromism. The authors compare several synthetic routes, including nitrosation, reactions with al…
T. N. TRIBELEVA
This paper studies the stability of periodic motions in autonomous differential systems and in a special class of nonlinear canonical systems. It extends a theorem of Andronov and Witt to families of periodic solutions whose period depends on parameters, using variational equations, characteristic r…
B. A. KAZANSKII, G. M. PANCHENKOV, and V. I. LAZAREV
This study examines whether the hydroxyl hydrogen of an alcohol solvent directly participates in catalytic hydrogenation on platinum. Hydrogenation of 2-methylbutene-1 over platinum black was carried out in ethyl alcohol containing deuterium in the hydroxyl group, and the resulting hydrocarbons and …
I. A. AKIMOV and A. N. TERENIN
This study examines optical sensitization of the internal photoeffect in thallium iodide and zinc oxide layers dyed with organic acidity indicators whose absorption spectra change upon protonation or deprotonation. The photoeffect was measured by a capacitor method before and after adsorption of dri…
As shown in (¹), the magnetization of a ferromagnet in the field of currents satisfies the variational equation
This paper develops a variational formulation for determining ferromagnetic characteristics from the hysteresis loop, extending a previous field variational principle to irreversible magnetization with entropy change and magnetostrictive boundary displacement. By treating the problem as one with mov…
Unknown
This paper studies how coefficients of convergent orthogonal series behave when the underlying orthonormal system is complete, and asks whether complete systems can tend to zero almost everywhere. It develops a construction lemma for complete systems assembled from systems on disjoint subsets, then …
Unknown
This study examines how neutron irradiation affects the magnetization curves of single crystals of silicon iron containing 3 percent Si. Specimens cut along selected crystallographic directions were measured with an astatic magnetometer before and after reactor irradiation to an integral dose of 4.7…
N. N. VOROBYEV
This note develops a variant of the theory of coalition games in which coalitions have nondivisible payoffs and mixed behavior is represented through consistent families of measures and systems of random transitions. It introduces internal consistent measures, Markovian extensions, realizable transi…
Corresponding Member of the Academy of Sciences of the USSR L. M. BREKHOVSKIKH, V. A. EVTUSHENKO,
This paper addresses the calculation of mean vertical sound speed profiles in the ocean, arguing that least squares averaging at standard depth levels can yield profiles with large scatter and unreliable acoustic implications. It proposes a method based on characteristic points, in which individual …
E. K. GERLING and L. K. LEVSKY
This study investigates radioactive cosmogenic isotopes in the Sikhote-Alin meteorite in order to estimate its cosmic age, defined as the time it existed as an isolated body exposed to cosmic radiation. Low-background Geiger-Müller counting was used to measure tritium and argon-39 activities in rece…
Unknown
The paper studies ranges of logarithmic functionals involving values and derivatives of bounded univalent functions in the unit disk. Using Kufarev’s method, it derives parametric equations for the boundaries of these ranges in three settings: functions with prescribed modulus at a fixed point, the …
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This paper reports field experiments designed to test a continuum model for the dynamic behavior of soft sandy soils under blast loading, where classical elasticity is inadequate. TNT explosions were used to generate centrally and cylindrically symmetric stress waves, with radial and principal stres…
Unknown
The paper examines the reaction of hydridosilanes with olefins in the presence of iron pentacarbonyl, focusing on conditions that lead either to saturated hydrosilylation products or to unsaturated organosilicon compounds. Experiments with triethylsilane, methyldichlorosilane, ethylene, propylene, a…
V. V. KANDYBA, P. B. KANTOR, R. M. KRASOVITSKAYA, and E. N. FOMICHEV
This study reports experimental measurements of the heat content and heat capacity of solid beryllium oxide from 1200 to 2820 K, extending earlier data available only to about 1175 K. Pressed and fired high purity BeO samples were heated in a high temperature vacuum furnace and measured by the mixin…
Unknown
This study examines how adsorbed iodine and bromine ions on smooth platinum affect the anodic ionization of molecular hydrogen. Platinum electrodes were pretreated in iodide or bromide solutions for controlled times and potentials, then transferred to anion-free sulfuric acid for polarization measur…
Unknown
The paper studies completeness problems for systems of finite automata, emphasizing that the answer depends on how the function realized by an automaton and the admissible circuits are defined. It introduces several notions of completeness for elementary automata with Boolean functions and delays, p…
B. B. BRANDT and A. I. ROZLOVSKII
This paper investigates whether cold nitrous oxide can sustain explosive decomposition as a stationary flame after point ignition, motivated by anomalously low fuel limits observed in cyclohexane, nitrous oxide mixtures. Using flame propagation limit theory, thermodynamic and kinetic estimates, and …
B. A. KAZANSKII, M. Yu. LUKINA, and I. L. SAFONOVA
This study examines how phenyl substitution and stereochemistry affect conjugation and catalytic hydrogenation in diphenylcyclopropanes, motivated by theoretical views of the cyclopropane ring as having partial pi character. Phenylcyclopropane, cis and trans 1,2-diphenylcyclopropane, and 1,1-dipheny…