Unknown
A sesquiterpene alcohol isolated from the neutral fraction of Siberian cedar oleoresin, Pinus sibirica, was examined to determine its identity and configuration. The compound was purified by alumina adsorption chromatography, recrystallization, and vacuum sublimation, then characterized by melting p…
Unknown
The paper extends de Rham and Dolbeault type methods to cohomology with coefficients in certain non-Abelian sheaves, interpreting the classification of principal fibered spaces through differential forms with values in Lie algebra bundles. It develops integrability criteria for equations defined by …
Unknown
The paper studies invariant torsion-free affine connections on a homogeneous space defined by a Lie group and a framed chain of subgroups. Using decompositions of the Lie algebra and the associated structure equations, it defines a multiparameter family of so-called C' connections and characterizes …
K. K. GOLOVKIN and V. A. SOLONNIKOV
This note studies the first boundary-value problem for the nonstationary Navier-Stokes equations in three spatial variables, aiming to weaken previously known conditions for classical solvability. Using the theory of nonstationary hydrodynamic potentials, the authors give simplified formulas and est…
A. B. ALMAZOV
This paper examines whether the electronic spectrum of a polymer chain can have a band structure in the absence of periodicity or even local ordering. The author models the chain by successive rotations of equal link vectors, constructs electron wave functions as linear combinations of localized fun…
Corresponding Member of the Academy of Sciences of the USSR G. A. RAZUVAEV, V. N. LATYAEVA
The study examines reactions of benzoyl peroxide with titanocene derivatives, motivated by the high reactivity of biscyclopentadienyltitanium and the contrasting destructive reaction reported for ferrocene. Experiments in benzene and isopropyl alcohol showed that benzoyl peroxide converts biscyclope…
E. L. BURSHTEIN, A. A. VASIL’EV, A. L. MINTS, V. A. PETUKHOV, and S. M. RUBCHINSKII
This paper examines automatic correction of magnetic-field errors in high-energy cyclic accelerators as a means to reduce forced betatron oscillations, stabilize the equilibrium orbit, and permit smaller vacuum-chamber apertures. It formulates feedback schemes in which beam-position measurements are…
S. N. CHERNIKOV
This paper studies convex polyhedral sets in arbitrary real linear spaces, defined as solution sets of finite systems of linear inequalities. It establishes strict separation of disjoint convex polyhedral sets by a plane, relates this separation to corner cones embracing the sets, and extends the di…
A. G. LUNDIN, G. M. MIKHAILOV, and S. P. GABUDA
This study investigates the behavior of crystallization water in ferroelectric potassium ferrocyanide trihydrate, K4Fe(CN)6·3H2O, using proton magnetic resonance on polycrystalline samples and single crystals over 77 to 400 K. Analysis of the second moment and line splitting shows that at low temper…
E. N. Paleolog, A. Z. Fedotova, and N. D. Tomashov
Polarization measurements and self-dissolution experiments were carried out on n-type and p-type germanium samples of different resistivity in acidic sulfate solutions, with hydrogen peroxide and ferricyanide as cathodic reagents. The results show that hydrogen evolution and hydrogen peroxide reduct…
M. V. LOSIK
The paper studies the representation of Klein spaces by Kawaguchi metrics, using invariant curve functionals and their associated indicatrices. It argues that for any Klein space with automorphism group G, one can construct a Kawaguchi metric whose automorphism group is exactly G and which admits no…
Unknown
This study examines gamma radiolysis of n-heptane adsorbed on oxide catalysts, comparing alumina and mixed alumina catalysts containing chromium, molybdenum, cobalt, and potassium oxides. Measurements of gas formation as a function of surface coverage show enhanced radiolysis in the adsorbed monolay…
Unknown
This paper argues that certain octahedral transition metal complexes, especially those with electronic configurations such as d9, high spin d4, and low spin d7, may exist in two nonequivalent tetragonally distorted conformations: elongated and compressed octahedra. Using ligand field considerations …
A finite system of axioms of the narrow predicate calculus is equivalent to a single axiom of the form
This note characterizes classes of models that are finitely axiomatizable in the narrow predicate calculus without restricting the form of the axioms. It reduces finite axiom systems to single prenex axioms with alternating quantifiers, introduces generalized covering relations between models and su…
Yu. M. UKRAINSKII and A. V. NOVOSELOVA
Molybdenum and rhenium diselenides were synthesized by sintering the corresponding metals with stoichiometric selenium in evacuated quartz ampoules, and their crystallographic and electrical properties were examined. Powder X-ray diffraction showed that molybdenum diselenide has a hexagonal unit cel…
Corresponding Member of the Academy of Sciences of the USSR A. N. Tikhonov, N. V. Lipskaya,
This paper investigates magnetotelluric sounding as a means of studying deep electrical structure in the Earth using natural electromagnetic field variations over periods from seconds to diurnal oscillations. Records of electric and magnetic field components from stations in Crimea, Ryazan oblast, a…
G. A. Nikiforov and K. M. Dyumaev
This paper examines the self-alkylation of 3,5-di-tert-butyl-4-hydroxybenzylamine as a route to substituted tribenzylamines, compounds whose directed synthesis is otherwise difficult because mixtures of amines are commonly formed. The authors show that the amine can convert under mild conditions, es…
R. A. VARBANSKAYA, B. N. SHELIMOV, and N. V. FOK
This study examines the formation and reactions of excess-energy, or hot, methyl radicals during low-temperature photolysis of methyl iodide, azomethane, acetone, and acetaldehyde in solid methylcyclohexane at 77 K. The authors combine analysis of gaseous products with electron paramagnetic resonanc…
Unknown
This study examines how reaction conditions control the bromination site in higher alkyl 2-thienyl ketones, including normal and branched homologs of 2-acetothienone. Bromination without solvent in the presence of excess anhydrous aluminum chloride gave ring-substituted products, identified as 4-bro…
| | Printed | Should read |
Unknown
This note proves that for every complete orthonormal system in \(L^2[0,1]\) there is a continuous function whose Fourier series, after a suitable rearrangement of its terms, diverges almost everywhere. The proof first establishes the result for the Haar system by constructing a bounded function with…
V. S. VASIL’EVA, I. V. DROGALEVA, A. V. KISELEV, A. Ya. KOROLEV, and K. D. SHCHERBAKOVA
This study examines whether wide-pore silica gel can be modified to serve as a stable gas-chromatographic adsorbent with reduced adsorption energy and improved surface uniformity. Industrial silica gel was purified, hydrothermally treated to coarsen its pore structure, and then reacted with trimethy…
L. V. LANSHINA and M. I. SHAKHPARONOV
This study reexamines the fine structure of the Rayleigh scattering line in water in order to determine the propagation velocity of hypersonic oscillations and the intensity ratio of the central and Mandelstam-Brillouin components. Using an improved Fabry-Perot interferometer arrangement and photogr…
Unknown
Unknown
This study examines the formation and stability of cobalt and nickel selenocyanate complexes in water, methanol, and acetone, and reports syntheses of several corresponding salts. Using spectrophotometry, electrical conductivity, potentiometry, and formation-curve analysis, the authors identify solv…
G. G. FEDOROV, Yu. A. ZARIFYANTS, and V. F. KISELEV
This study examines the adsorption of oxygen on freshly cleaved, highly dispersed graphite prepared by vibratory grinding in an argon atmosphere, with attention to the distinction between chemical adsorption at room temperature and low-temperature physical adsorption. Volumetric adsorption and desor…
Unknown
This paper studies multidimensional principal value singular integral operators on bounded smooth manifolds in Euclidean space, with kernels determined by positive definite variable quadratic forms and homogeneous singularities. It proves boundedness of these operators in Lp spaces for p greater tha…
Unknown
The paper formulates a stability criterion for rods and plates subjected to creep, emphasizing disturbed motion after a small residual deflection rather than bifurcation from a straight state. For a hinged compressed rod obeying a power law creep relation, the analysis linearizes the constitutive eq…
Unknown
This paper studies solvability conditions for a boundary-value problem for a two-component parabolic system with constant real coefficients in an infinite strip, with zero initial data and mixed linear boundary conditions. The authors represent solutions by heat-kernel double-layer potentials associ…
Unknown
This paper addresses the equilibrium isotope effect in tritium, protium exchange among hydrogen-containing substances, a problem important for the use of tritium as a tracer. Because spectroscopic data for many tritium compounds are unavailable, the authors propose an approximate method based on a p…
G. A. Freiman
This paper studies inverse problems for sums of finite sets of integers and residues modulo a prime, focusing on structural consequences when the sumset or double sumset is small. Using exponential sums and a concentration lemma for points on the unit circle, it proves that if the number of residues…
Unknown
This paper addresses the absence of a satisfactory dynamic theory of glacier motion capable of relating observed velocities to ice rheology, gravitational forces, glacier geometry, and basal friction. It proposes a first approximation that treats normal and shear stresses as independent, allowing lo…
A. P. BATALOV and I. A. KORSHUNOV
This study examines ethyl radical exchange between triethylaluminum and carbon-14-labeled ethyl bromide, using radiometric analysis of ethane formed after decomposition of the organoaluminum compound. Experiments under nitrogen in sealed ampoules show that exchange is not observed without added meta…
M. B. NEIMAN, V. B. MILLER, Yu. A. SHLYAPNIKOV, and E. S. TORGUYEVA
This paper examines how the induction period of oxidation depends on antioxidant concentration, especially at very low inhibitor levels where the commonly assumed linear relation is inadequate. Using a chain oxidation model with degenerate branching and chain termination by antioxidant, the authors …
B. R. Vainberg
This paper derives asymptotic formulas for the Green function of one dimensional Sobolev Galpern equations with constant coefficients, for fixed positive time as the spatial variable tends to infinity. Using the saddle point method, it first treats equations of first order in time and separates the …
Unknown
This note studies maximum-type estimates for positive solutions of second-order elliptic equations in divergence form with lower-order terms, extending earlier results that required either a nonpositive zeroth-order coefficient or vanishing first-order coefficients. Under ellipticity, boundedness, a…
A. A. Balandin, E. I. Karpeiskaya, and B. D. Polkovnikov
This study examines the hydrogenating properties of two metallic rhenium catalysts: rhenium supported on activated carbon prepared from a dioxane complex of rhenium anhydride, and skeletal rhenium obtained by leaching a rhenium aluminum alloy. Using autoclave, flow, and atmospheric pressure experime…
A. D. KUZ’MIN and A. E. SALOMONOVICH
This paper reports 8 mm radio observations of the Taurus A region made with the 22 m radio telescope of the P. N. Lebedev Physical Institute, using transit records from a modulation radiometer with an approximately 2 minute beam. Averaging 21 records, the authors identify the known Taurus A source w…
Unknown
The paper constructs exact solutions for unsteady magnetohydrodynamic motions in which the radial velocity is proportional to radius, extending earlier pulsation models to gravitating spheres in axially symmetric magnetic fields and to rotating gas or plasma configurations. By using Lagrangian radia…
A. V. ZOLOTOV
This paper reports 1959 field observations and calculations concerning the 1908 Tunguska catastrophe, focusing on forest fall patterns, the height and energy of the explosion, the final velocity of the cosmic body, and the light radiation produced. Using the radial tree fall, standing forest near th…
V. S. ETLIS, L. N. GROBOV, and G. A. RAZUVAEV
The study examines the reaction of ethylene oxide with carbon disulfide in sealed ampoules at 90 to 100°C in the presence of a quaternary ammonium bromide catalyst. The reaction gave partial conversion of ethylene oxide and produced ethylene carbonate and ethylene trithiocarbonate in an approximatel…
Unknown
The paper studies nonnegative solutions of the eigenvalue equation for the Laplace Beltrami operator on a negatively curved symmetric space whose motion group is isomorphic to the complex unimodular group. Using Martin’s method, it constructs an explicit Green’s function in terms of spectral coordin…
B. E. ZAITSEV, Yu. D. KORESHKOV, M. E. VOL’PIN
The study examines the structures of salts formed by the nonbenzenoid aromatic ketones diphenylcyclopropenone and tropone with strong acids. Hydrobromide salts of both ketones were synthesized and analyzed by infrared spectroscopy in the crystalline state and in solution, with attention to disappear…
G. P. Popov and G. I. Chufarov
This paper investigates thermodynamic properties of solid solutions in the NiFe2O4 and Fe3O4 system formed during equilibrium reduction of nickel ferrite by hydrogen at 600 to 900 °C. Equilibrium hydrogen pressures were measured from both reduction and oxidation directions, compositions were determi…
L. I. RUDAKOV and R. Z. SAGDEEV
This paper analyzes a mechanism for instability in an inhomogeneous rarefied plasma placed in a strong magnetic field, distinct from previously proposed ion-sound instabilities requiring much hotter electrons than ions or a longitudinal current. Using a linearized kinetic treatment under low-frequen…
Unknown
This paper examines how different averaging procedures affect balance equations used in oceanology, including equations for mass, momentum, heat, salt, and other transported quantities. Starting from a general balance equation, it compares Reynolds and density-weighted means and shows that the resul…
Unknown
This paper examines the use of elliptically polarized radio waves in radar studies of clouds and precipitation containing nonspherical particles such as ice crystals, raindrops, and hail. Modeling these scatterers as ellipsoids of revolution and considering dipole scattering, it derives expressions …
Corresponding Member of the Academy of Sciences of the USSR M. M. KOTON, I. V. ANDREEVA,
This paper investigates the ability of high molecular weight oxygen-containing polymers, specifically polyacrolein, to form coordination complexes with heavy metal salts. Powdered polyacrolein samples prepared under different polymerization conditions were tested for extraction of uranyl nitrate fro…
Unknown
This paper develops an approximate theory for the stationary propagation velocity of an exothermic reaction front in a condensed phase, where material diffusion is neglected and cannot be equated with thermal diffusivity as in gas flame theory. Using one-dimensional heat and mass conservation in a f…
Unknown
This study examines how an external electric field applied perpendicular to the surface affects the infrared luminescence of cuprous oxide. Cu2O specimens with different near-surface band bending were prepared by annealing or chemical etching, placed behind a mica dielectric with a semitransparent p…