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This paper reports the synthesis and characterization of a previously undescribed divalent platinum compound with methionine, formed by reacting potassium chloroplatinite with equimolar methionine. Unlike ordinary alpha amino acids, methionine reacts rapidly with Pt(II), indicating facile coordinati…
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This paper examines how to separate the self-consistent Hartree-Fock field from the residual interaction in the superfluid, or pairing, model of the nucleus. Starting from a general fermion Hamiltonian, it derives the corresponding mean field, diagonalizes the one-particle part, and then applies the…
A. M. Il'in
The paper examines whether parabolic equations with merely continuous bounded coefficients admit fundamental solutions having the usual boundedness properties away from the initial time. It constructs a one-dimensional uniformly parabolic equation with continuous coefficient \(a(t,x)\), bounded betw…
V. N. MASLENNIKOVA
The paper studies the first boundary value problem for a coupled system consisting of a quasilinear parabolic diffusion equation and an ordinary time evolution equation, motivated in part by neutron diffusion with delayed neutrons. Under monotonicity and Lipschitz assumptions on the coupling terms, …
Yu. V. GORYUNOV, N. V. PERTSOV, B. D. SUMM, E. D. SHCHUKIN
This paper examines how surface microrelief affects the propagation of liquid mercury over oxide-free zinc, distinguishing viscous spreading of a liquid phase layer from surface diffusion of adsorbed atoms. Experiments comparing smooth and nitric-acid-etched rough zinc surfaces show that smooth surf…
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This paper investigates how galena particle size affects the fixation of potassium butyl xanthate, a flotation collector, on mineral surfaces. Using contact autoradiography with sulfur-35 labeled xanthate, microphotometry of particle imprints, and radiometric measurements of size fractions, the auth…
I. S. Stekol'nikov and A. V. Shkilev
Using an electron-optical converter with light amplification, the authors examine the development of negative impulse sparks in rod to plane and rod to rod-on-plane gaps at voltages near the minimum breakdown value. The observations resolve a stepwise negative leader process, associated impulse-coro…
S. L. SOBOLEV
This paper studies cubature formulas on the sphere that are invariant under finite rotation groups associated with regular polyhedra, with the aim of determining exactness for spherical harmonics. It proves that an invariant formula is exact for all harmonics of a given order if and only if it is ex…
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This paper studies integral operators with kernels satisfying two Orlicz type integral bounds on bounded sets, seeking criteria for their continuity and complete continuity between Orlicz spaces. It develops comparison conditions on the defining functions, including complementary functions and Delta…
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The paper examines extraction equilibria in the quaternary system uranyl nitrate, water, nitric acid, and tributyl phosphate at 22 ± 1 °C in the region of phase separation. Using phase equilibration, potentiometric analysis, and physicochemical diagramming in a tetrahedral composition space, the aut…
E. G. IPPOLITOV and P. A. KOZ’MIN
Potassium and rubidium octafluororhenates were examined by X-ray powder diffraction, oscillation radiography, and reciprocal lattice radiography to characterize their crystallographic properties and compare the two salts. The study found orthorhombic unit cells for potassium octafluororhenate with p…
A. A. Zhukhovitskii, N. M. Turkel'taub
This paper proposes stepwise development chromatography as an isothermal gas chromatographic method suited to automatic control and impurity analysis, where stable detector signals and preservation of initial sample concentrations are required. The authors derive conditions for maintaining and separ…
Academician of the Academy of Sciences of the Kirghiz SSR M. Ya. Leonov, N. Yu. Shvaiko
This paper analyzes the local elasto-plastic stress state that develops during torsion of a rod with a small semicylindrical longitudinal surface groove, assuming a strain-softening material. The grooved rod is modeled near the recess as an elastic half-space with a semicylindrical notch, and the el…
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This paper examines conditions for the existence of a linear integral in the equations governing the motion of a heavy rigid body about a fixed point, reconsidering Chaplygin’s formulation in light of later particular solutions. By reducing the assumed integral to a constant component of angular mom…
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The paper studies completeness of systems of analytic functions formed from solutions of second order differential equations with a spectral parameter, under initial conditions given by entire functions of exponential type. By transforming the general equation to a normal form and applying a transfo…
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This study examines whether rapid low temperature reactivity previously observed for chlorine addition to olefins extends to other industrially relevant addition and exchange substitution reactions. Using purified reagents in a high vacuum apparatus and differential thermographic recording during co…
The rate of free-radical substitution reactions
This study develops and applies a radiochemical method for evaluating the reactivity of liquid-phase free radicals through the ratio of the tritium abstraction rate constant to the square root of the radical recombination constant. Cyclohexyl and heptyl radicals were generated in cyclohexane and hep…
V. I. YUDOVICH
This paper studies the initial boundary value problem for an ideal incompressible fluid in a bounded two-dimensional domain with a permeable boundary, where prescribing only the normal velocity is insufficient for uniqueness. It proposes an additional boundary condition on the vorticity at inflow po…

This paper develops a simple energetic estimate for the dynamic yield shear stress of suspensions whose colloidal particles possess rigid electric dipole moments. Assuming a locally ordered, cubic-like arrangement of dipolar particles, the authors relate the work required to shear adjacent particle …
B. V. KAZACHKOV
This note studies conjugacy of Sylow subgroups associated with an arbitrary set of primes in infinite groups, introducing the property of finite Pi-conjugacy: if one finite conjugacy class of Pi-Sylow subgroups exists, then all Pi-Sylow subgroups are conjugate. The main tool is a lemma reducing this…
G. V. KUZ’MINA
This paper proves sharp covering theorems for classes of univalent functions in the unit disk that omit two prescribed points of equal modulus. Using properties of extremal univalent mappings, Lavrent'ev’s inverse-function representation, and elliptic functions, it derives an optimal lower bound for…
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This paper proposes that during hydrostatically unbounded gravitational contraction of massive stellar cores, thermal energies near the gravitational radius can enable multiple production of nucleon and antinucleon pairs by neutral pion processes. Using detailed equilibrium and an ideal nondegenerat…
Corresponding Member of the Academy of Sciences of the USSR V. I. GOLDANSKII, G. M. GORODINSKII,
This study examines the Mössbauer effect in tetravalent tin compounds, focusing on how electron-shell structure, bond ionicity, and local electric-field gradients influence recoil-free gamma transitions in tin-119. Measurements of symmetric tin halides, tin dioxide, tetraphenyltin, and organotin com…
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The paper analyzes phase oscillations of particles in accelerators whose parameters undergo small random perturbations. Using a linearized oscillator equation with slowly varying coefficients, delta-correlated random forcing, a WKB approximation, and the Fokker-Planck method, it derives a diffusion …
L. A. GROZA
The paper studies the singular limiting behavior of solutions to a second order linear homogeneous ordinary differential equation in a Banach space, where a small parameter multiplies both the first and second derivatives. Under boundedness and smoothness assumptions on the operator coefficient, the…
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S. V. Zavgorodnii
This study examines the alkylation of 1,1,3-trimethyl-3-phenylindane, obtainable from waste alpha-methylstyrene, with propylene, isobutylene, and cyclohexene using a boron fluoride, orthophosphoric acid catalyst. Experimental variation of reactant ratios, catalyst amount, temperature, and reaction t…
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This paper develops continuous analogues and Hilbert space generalizations of triangular matrix factorization and Fredholm integral operator factorization. For bounded operators relative to a maximal continuous chain of orthogonal projections, it defines special factorizations of the form \(A=(I+X_+…
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This study examines how adsorption modification of mineral fillers and pigments by surfactants affects structure formation in polymer solutions and the performance of filled polymers. Concentrated suspensions of kaolin in SKS-30 rubber solutions and titanium dioxide in perchlorovinyl resin solutions…
L. I. RUBINSTEIN
This paper studies the large convective parameter asymptotics of the solution to an axisymmetric thermoconvective contact boundary value problem previously represented by double Laplace, Carson and Hankel transforms. For the case of unit diffusivity parameter and integer convective parameter, an exa…
Yu. L. KLIMONTOVICH
This paper develops a statistical description of homogeneous isotropic turbulence in a relativistic plasma using microscopic phase-space densities and electromagnetic fields treated as random functions. Within a second-moment approximation and a linearized treatment of fluctuations, it derives a clo…
B. P. NIKOL’SKII, M. M. SHUL’TS, and A. A. BELYUSTIN
This study examines how the second glass-forming oxide affects the sodium and potassium electrode functions of alkali silicate glasses of the type Na2O, RxOy, SiO2, with R including boron, aluminum, gallium, ferric iron, and tin. Electromotive-force measurements were made in sodium chloride, potassi…
S. L. MANDELSTAM, Yu. K. VORONKO, I. P. TINDO, A. I. SHURYGIN, and B. N. VASILIEV
This paper reports rocket-borne measurements of solar X-ray radiation at wavelengths shorter than 10 Å during the total solar eclipse of February 15, 1961. Using two photon counters with different spectral sensitivities to distinguish X-rays from possible corpuscular fluxes, the authors derived an a…
V. V. Korshak, A. M. Sladkov, and Yu. P. Kudryavtsev
The study examines oxidative dehydropolycondensation of substituted diacetylenes as a route to high molecular weight products containing conjugated acetylenic bonds, with particular attention to obtaining soluble polymers. The authors synthesized 9,10-diethynyl-9,10-dihydroxy-9,10-dihydroanthracene …
L. Ya. Roitenberg
This paper develops a theory for optimal signal reproduction in a gyroscopic tracking system subject to random disturbances. Using the minimum mean-square error criterion, it formulates the gyroscope dynamics as a matrix differential system, derives the associated transfer and weighting functions, a…
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The paper studies conjugate nets in projective three-space through the two congruences formed by their first and second axes, asking when these congruences constitute a one-sided pair of type T1. Using a projective moving frame adapted to the net and its Laplace transforms, the author derives focal …
A. A. Tager, M. V. Tsilipotkina, D. M. Romanova, and
This study examines how microporous structure develops during the thermal decomposition of saran, a vinylidene chloride and vinyl chloride copolymer, as it is converted toward carbon. Samples heated to successive final temperatures were characterized by mass loss, interpreted mainly as hydrogen chlo…
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This paper studies branching and small-solution structure for nonlinear analytic equations with completely continuous operators in complex Banach spaces. Using index results of Cronin and Krasnosel’skii’s criterion, it shows that bifurcation points of an analytic operator coincide with the character…
Unknown
The paper studies a Cauchy problem for a higher order partial differential equation in one complex and one real variable, extending earlier work in which the highest order part had constant characteristic structure. For the third order case, the author analyzes the characteristic surfaces determined…
Unknown
The paper develops homogeneous finite difference schemes for the Poisson equation in two spatial variables with piecewise constant coefficients and interface conjugation conditions. Using an integral balance formulation, it derives grid equations for rectangular, hexagonal, and triangular meshes tha…
Unknown
This note develops the algebraic theory of finite ring groups, focusing on homomorphisms, subgroups, quotient groups, and their behavior under duality. It defines subgroups via central projectors satisfying compatibility conditions, factor groups via invariant Neumann subrings, proves an analogue of…
Unknown
This note studies the asymptotic growth of harmonic functions of three variables in unbounded domains contained in a rectangular half-cylinder. Building on an earlier result for half-cylinders, it proves a partial extension to arbitrary infinite three-dimensional domains whose boundary satisfies uni…
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V. I. KONDRASHOV
This paper develops a variational theory for boundary value problems in Sobolev type spaces where the boundary conditions contain spectral parameters and may include nonlinear terms. It formulates a principal problem for admissible integral forms on domains with decomposed boundaries, extends the se…
N. I. Popova, V. P. Latyshev
This study examines the mechanism of propylene oxidation on copper catalysts using Koval’skii’s method of separate calorimetry, with particular attention to the temperature-dependent formation of carbon dioxide. Measurements of temperature differences between the catalyst surface, reactor volume, an…
A. E. ZOLOTAREV
The paper proves uniqueness of generalized L2 solutions for basic boundary value problems of mathematical physics in arbitrary bounded connected domains, removing earlier smoothness assumptions on the boundary. The main argument is developed for the mixed problem for the wave equation with homogeneo…
Unknown
This study examines how substituents affect the oxidation of the ferrocene nucleus to the ferricinium cation, using formal oxidation reduction potentials as a quantitative measure of electronic influence. Potentiometric titration with potassium dichromate in acetic acid and hydrochloric acid was app…
V. G. LEVICH, B. I. KHAIKIN, and S. G. MAIRANOVSKII
This paper analyzes how the diffuse double layer affects polarographic bulk catalytic hydrogen waves, particularly for pyridine systems in which protonation and regeneration reactions occur in solution rather than by adsorption at the electrode. The authors formulate transport and reaction equations…
Yu. A. ZHDANOV, T. N. DOROFEENKO, and G. A. KOROLCHENKO
This paper examines magnesium perchlorate as a catalyst for acetylating polyhydroxy compounds with acetic anhydride, motivated by limitations of conventional acid catalysts such as resinification and poor product formation in some substrates. The authors apply the method to hexitols, cyclitols, mono…
T. V. BAZHENOVA
This paper estimates the relaxation time for carbon dioxide dissociation using shock-tube measurements of reflected shock waves in carbon dioxide containing a small amount of water vapor. The analysis compares observed reflected-wave velocities with values calculated for frozen and equilibrium disso…