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This paper examines why several complex oxidized lead minerals, including pyromorphite, mimetite, beudantite, and plumbojarosite, are poorly recovered by conventional froth flotation compared with cerussite, anglesite, and wulfenite. The authors relate flotation behavior to crystallochemical structu…
Unknown
This note develops Linnik’s method of computing variance in arithmetic progressions to treat binary additive equations of the form n equals uv plus a binary quadratic form, where u and v range over broad prescribed sequences. As an illustrative case, it proves an asymptotic formula for representatio…
V. V. Shuleikin
This paper proposes a schematic theory for the earliest stage of wind wave development, from the first instability of a smooth water surface to the attainment of maximum kinematically possible steepness. Extending earlier momentum-based work on later wave growth, it introduces generalized correction…
L. V. MIRZOYAN
This note examines the nature of short-wavelength continuous emission in nonstationary stars, focusing on observational data for AG Dra, NX Mon, and VY Ori and especially on Böhm’s proposed interpretation. By comparing the wavelength dependence of the emission intensity with limits expected for ther…
Unknown
This note formulates a problem of selecting a given binary word from a finite table without repeated rows, using chains of operators that progressively restrict the candidate submatrix or identify the word directly. It defines algorithm weight as the worst case cost of such chains and instruction vo…
M. E. DYATKINA, S. N. DOBRYAKOV, and E. M. SHUSTOROVICH
This paper examines the molecular orbital structure of radicals containing nonalternant five- and seven-membered rings, extending earlier calculations on perinaphthenyl analogs and related fused-ring systems. Using the simplified molecular-orbital method, the authors compare the numbers of bonding, …
V. S. MASHKEVICH
The paper addresses the construction of normal coordinates for a crystal lattice when retarded electromagnetic interactions are included, a requirement for a consistent treatment of optical properties. Using a dipole approximation with ionic displacements and induced dipole moments, it formulates pl…
A. I. MAL′TSEV
This note extends the theory of defining relations from models to general categories, using homomorphisms to express substructures, products, free compositions, and related notions. It introduces replicas of objects in subcategories as a categorical formulation of structures determined by generators…
Unknown
This paper introduces operator algorithms as a formal scheme for describing computation in terms of variables, operations, expressions, formulas, and operators acting on a changing domain of assigned values. It defines execution by transitions between variables, evaluation of operator formulas, and …
Unknown
This paper studies direct and inverse problems for approximation of functions on a finite interval by algebraic polynomials in the spaces Lp, with attention to endpoint-weighted estimates involving the function g(x,n). It proves several direct theorems giving polynomial approximation bounds under as…
Unknown
This paper identifies a class of magnetohydrodynamic motions in which particle positions are affine functions of their initial coordinates, corresponding to homogeneous deformation of the medium. Substituting this motion into the ideal magnetohydrodynamic equations, the analysis derives restrictions…
Unknown
This paper reports mass spectrographic measurements of the lead isotopes Pb-204, Pb-206, Pb-207, and Pb-208, motivated by nuclear binding energy studies near magic proton and neutron numbers and by the need to refine the reference mass of Pb-208. The authors used a high resolving power mass spectrog…
G. A. Patrikeev
This paper develops a theoretical account of the mechanical stretching and rupture of polymer molecules, treating covalent bonds in an extended chain as highly stiff quasi-elastic elements. It distinguishes configurational entropy deformation from subsequent elastic stretching of valence angles and …
A. T. TROSHCHENKO and A. A. PETROV
This study examines the reaction of vinylacetylene with diazomethane, addressing whether addition occurs at the triple bond or the double bond in this conjugated hydrocarbon. Experiments in ether at low temperature followed by product isolation showed formation of a single oil in high yield, assigne…
A. N. BASHKIROV, V. V. KAMZOLKIN, K. M. SOKOVA, and T. P. ANDREEVA
This paper examines the composition and hydroxyl group positions of higher aliphatic alcohols formed during liquid phase oxidation of normal paraffin hydrocarbons in the presence of boric acid. The authors evaluate oxidation with potassium dichromate in dilute sulfuric acid as a structural method, f…
A. E. SHILOV, R. D. SABIROVA, and V. I. GORSHKOV
This paper examines whether acid-catalyzed addition to olefins proceeds through reversible formation of a carbonium ion or through a protonated pi-complex. The authors test these alternatives by reacting ethylene with deuterosulfuric acid, and isobutylene under hydration conditions, then determining…
Unknown
An exact solution is developed for a three-dimensional mixed boundary-value problem in linear elasticity for an unbounded layer, with prescribed displacements on one plane face and prescribed stresses on the other. The displacement field is represented by Papkovich-Neuber harmonic functions, and the…
Unknown
The paper derives an expansion formula for arbitrary vector functions associated with a boundary value problem for a system of linear differential equations on several intervals, with piecewise smooth coefficients depending on a complex parameter and including negative powers of that parameter. Usin…
Unknown
This paper examines how deformation rate affects thixotropic recovery in a 2 percent aluminum naphthenate gel in vaseline oil, emphasizing the need to control both the destructive and measuring velocity gradients. The authors describe an oscillographic method for recording stress, deformation, defor…
Yu. F. BYDIN and A. M. BUKHTEEV
This paper reports measurements of the ionization of fast neutral potassium atoms in single collisions with argon atoms and hydrogen, nitrogen, and oxygen molecules. A beam of potassium ions was neutralized by resonant charge exchange, residual ions were deflected, and fast positive potassium ions p…
Unknown
The paper discusses two space-charge effects that may facilitate electron capture into the betatron acceleration mode by altering the amplitudes of radial oscillations after injection. It argues that interaction within an injected electron beam can shift the instantaneous equilibrium orbit periodica…
As is known, a solution of the two-dimensional wave equation
The paper derives inversion formulas for the Sommerfeld integral representation of solutions of the two-dimensional wave equation, with emphasis on functions defined by contour integrals in wedge diffraction problems. It proves existence and uniqueness of an odd analytic density satisfying specified…
I. Yu. Kozhevnikov, O. V. Travin, and E. N. Yarkho
This study examines how calcium fluoride additions affect the equilibrium distribution of phosphorus between liquid iron and ferrous lime slags, a question on which earlier interpretations differed. Using a successive saturation method with radioactive phosphorus, the authors measured temperature de…
E. B. LYUDVIG, A. R. GANTMAKHER, and Corresponding Member of the USSR Academy of Sciences S. S. MEDVEDEV
This paper investigates the cationic copolymerization of styrene with alpha-methylstyrene in ethyl chloride solution using tin tetrachloride catalyst, with emphasis on the pronounced acceleration caused by small additions of the more reactive monomer. Polymerization rates were measured dilatometrica…
A. N. GRINEV, V. N. ERMAKOVA, and A. P. TEREGENTEV
A new multistep synthesis of 1-benzyl-2-methyl-5-methoxytryptamine, a benzyl analogue of serotonin reported to have antiserotonin activity, is described. The route begins with condensation of p-benzoquinone and ethyl N-benzyl-beta-aminocrotonate to form a 5-hydroxyindole ester, followed by methylati…
A. N. KOLMOGOROV
This paper introduces entropy per unit time as a new metric invariant for transitive dynamical systems and automorphisms of Lebesgue spaces, addressing whether systems with countable Lebesgue spectrum are all isomorphic modulo zero. It develops the needed notions of conditional entropy and condition…
A. A. BERLIN, G. L. POPOVA, and E. F. ISAEVA
This paper describes the synthesis of a new class of unsaturated polyesters, termed polyester acrylates, by condensation telomerization of dibasic acids with glycols or glycerol in the presence of methacrylic or acrylic acid. The authors examine reaction conditions using inert solvents, azeotropic w…
Unknown
This paper examines how formaldehyde yields during homogeneous methane oxidation depend on radical initiation, inert gas dilution, and the surface condition of quartz reaction vessels. Using methane and oxygen mixtures under varied vessel treatments, nitrogen additions, and initiators such as nitrog…
Unknown
This study examines adsorption of water vapor on crystalline powders of silver iodide, silver chloride, and lead iodide in relation to their differing roles as nuclei for crystallization in supercooled clouds. Using quartz microbalances, the authors measured adsorption isotherms over temperatures fr…
Unknown
This study examines the relationship between semiconductor electronic properties, chemisorption, and catalytic oxidation of carbon monoxide on zinc oxide and ZnO solid solutions containing lithium or gallium oxides. Using samples with electrical conductivities differing by many orders of magnitude, …
A. N. ROMASHOV, V. N. RODIONOV, and A. P. SUKHOTIN
This paper presents an experimental and theoretical study of spherical explosions in an unbounded compacting inelastic medium, using small explosive charges in sandy soil while eliminating free-surface effects. Measurements of wave-front propagation and particle displacements are used to derive empi…
V. G. VORONIN, O. N. TOLKACHEV, and N. A. PREOBRAZHENSKII
This paper reports a synthetic route to racemic tubocurarine, the principal quaternary ammonium alkaloid of tube curare, whose structure had not yet been synthetically confirmed. The authors construct the bisbenzyltetrahydroisoquinoline framework through successive amide formation, phenolic protecti…
Unknown
This paper gives a rigorous treatment of Wick’s problem on stationary neutron slowing down and diffusion from a plane source in an infinite homogeneous isotropic medium, allowing plane-parallel sources with angular dependence. Starting from the Fourier-Laplace transform of the transport equation, it…
Unknown
This study examines whether methyl radicals generated by the Polanyi reaction of methyl iodide with sodium undergo hydrogen, deuterium exchange with molecular deuterium, addressing discrepancies between earlier photochemical and discharge experiments. The authors reacted gas phase methyl radicals wi…
Unknown
The paper constructs an analogue of the Laplace transform for Mikusiński’s operational calculus, motivated by the simplifying role of Laplace integrals in operational formulas. It defines rings of Laplace transforms modulo ideals determined by exponential shifts, forms a direct sum of quotient rings…
Yu. A. ALEKSANDROVA, HUANG YU-LI, A. N. PRAVEDNIKOV
This paper examines reactions of tert-butoxy radicals formed during decomposition of di-tert-butyl peroxide, motivated by their relevance to hydrocarbon and polymer oxidation. The authors study decomposition in isopropylbenzene solution at 120 to 150 degrees Celsius over varying peroxide concentrati…
Unknown
This paper examines the potassium-bearing character of the Tuz-Tag salt deposit in Tuva, a thick salt-bearing formation associated with ancient marine basins. The authors surveyed exposed salt beds, sampled colored interlayers, and reanalyzed preserved drill cores from several boreholes, using chemi…
Unknown
This paper examines capillary contraction forces that arise during drying in gel films and porous disperse bodies, with particular attention to cement systems and their role in shrinkage, cracking, and concrete corrosion. The authors describe a direct integral measurement method that follows these f…
Corresponding Member of the Academy of Sciences of the USSR S. N. VERNOV, N. L. GRIGOROV,
This paper reports preliminary measurements of cosmic radiation made aboard the second artificial Earth satellite using two independent charged-particle counter instruments. The authors compare counting rates from direct and reverse orbits to estimate altitude effects, discuss contributions from Ear…
N. Vilenkin
Unknown
This note gives a homotopic classification of nonsingular unit tangent vector fields on orientable smooth closed manifolds with Euler characteristic zero. Using obstruction and difference cohomology, together with a classification theorem for section surfaces, it identifies the homotopy classes firs…
Unknown
Water vapor adsorption was measured volumetrically on four quartz powders of different origin and specific surface area, with surfaces characterized by BET measurements using nitrogen, argon, and methanol. The study addresses why published “absolute” water adsorption isotherms for quartz diverge eve…
Academician **I. N. Nazarov**, G. V. Aleksandrova, and A. A. Akhrem
This study examines the condensation of cis- and trans-alpha-decalones with acetylene as a route to ethynyldecalols suitable for further side-chain transformations related to corticoid hormone structures. The authors synthesize and separate stereoisomeric trans-1-ethynyl-1-decalols and obtain a cis-…
V. D. Gusev, L. A. Drachev, S. F. Mirkotan, Yu. V. Berezin,
This paper investigates large-scale inhomogeneities in the ionospheric F2 layer, whose structure and motion affect radio-wave reflection but had been difficult to measure with existing group-delay and angle-of-arrival methods. The authors apply an integral phase method using three synchronized ionos…
P. S. Pel'kis, R. G. Dubenko
This paper examines how solvent affects thione, thiol tautomeric equilibrium in a series of aryl thiocarbazones, with the aim of testing Kabachnik’s relation between tautomeric equilibrium constants in different solvents. Absorption spectra of dithizone derivatives and their S-methyl analogs were me…
Yu. V. Pleskov and B. N. Kabanov
This study examines whether anodic oxidation reactions at a semiconductor electrode generally require holes, as had been proposed from earlier work on germanium dissolution. The authors investigate oxidation of divalent vanadium ions at a rotating disk electrode of n-type single-crystal germanium in…

This study examines how tribenzylamine affects the electrochemical reduction of the persulfate anion at a dropping mercury electrode, addressing earlier observations that it could inhibit rather than accelerate the reaction. Polarographic measurements show that in dilute acidic solutions tribenzylam…
A. P. Zhdanov, A. L. Kartuzhanskii, I. V. Ryzhkova, and L. I. Shur
This study examines whether triethanolamine sensitization of nuclear photographic emulsions also preserves latent images and sensitivity during storage. Type P emulsions were treated with triethanolamine, irradiated with relativistic electrons or exposed to light either before or after refrigerated …
M. I. ZAKHAROVA, I. A. IGNATOVA, L. A. SEMENOVA, and N. A. KHATANOVA
This study examines the phase composition of iron-vanadium and iron-chromium alloys in temperature ranges where existing phase diagrams suggested simpler single-phase behavior. Alloys of selected compositions were homogenized, annealed between 1400 and 600 degrees Celsius, quenched in water, and ana…
L. I. Zakharkin and V. V. Gavrilenko
This paper examines the reaction of carbon dioxide with aluminum trialkyls, addressing conflicting reports on whether these organoaluminum compounds can form carboxylic acids. The authors treated triethylaluminum, tripropylaluminum, triisobutylaluminum, and ethylene-derived mixtures of aluminum tria…