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This paper addresses the diagnostic determination of initial atmospheric pressure and wind fields when temperature distributions are known, a problem that otherwise remains undetermined up to an arbitrary horizontal function under quasistatic balance. Working within a quasigeostrophic framework, it …
A. I. MOSKVIN, I. GYÖLGYEANU, A. V. LAPITSKII
This paper examines regularities in complex formation by pentavalent actinides, focusing on protactinium, neptunium, and plutonium with anions of organic and inorganic acids. Using ion-exchange data and reported instability constants, the authors compare complex compositions and stabilities, showing…
L. N. SRETENSKII
This paper studies periodic surface waves generated by a source with harmonically varying discharge located above a uniformly sloping bottom. Under assumptions of plane parallel potential flow and for bottom angles that are integral fractions of a right angle, the problem is reduced to a constant co…
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This paper develops a general kinetic formulation for stationary and quasi-stationary complex reactions composed of elementary stages, including heterogeneous reactions on homogeneous surfaces. It defines reaction routes through stoichiometric numbers, relates route rates to forward and reverse rate…
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This paper investigates how tensile stress affects molecular mobility in highly oriented polycaprolactam and polyethylene terephthalate fibers using nuclear magnetic resonance spectra recorded under controlled temperature and load. The authors analyze broad and narrow spectral components associated …
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This paper examines the polymorphism of lanthanum oxide and the conditions required to obtain its low-temperature cubic form, whose existence had been uncertain in earlier studies. Lanthanum carbonate, oxalate, hydroxide, and nitrate were decomposed under high vacuum, with products characterized by …
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The paper develops a continuum-mechanical model for the formation and propagation of a fracture shock wave produced by an explosion in a brittle medium. Assuming spherical symmetry, it treats the intact material ahead of the front as a linear elastic solid, the crushed material behind it as an incom…
I. I. Pyatetskii-Shapiro, T. S. Zhelankina, V. I. Keilis-Borok,
This paper presents a digital-computer method for determining earthquake epicenters, origin times, and focal depths from P and PKP1 arrival times when no reliable initial approximation is available and some observations may contain large errors. The procedure minimizes residuals iteratively, rejects…
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This study examines the electronic effects of aromatic substituents containing a trifluoromethyl group using the Hammett-Taft separation of substituent constants into inductive and conjugation components. Meta and para Hammett constants were derived from ionization measurements of substituted benzoi…
A. A. NIKOLSKII
This paper derives simple exact solutions of the Boltzmann equation for unbounded three-dimensional expansion and compression of monatomic gases and mixtures, assuming spatially uniform distributions of peculiar velocities. By transforming to variables scaled with time, it shows that Maxwellian pecu…
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This paper studies the stability of computational algorithms for inverting tridiagonal regular difference equations depending on the system order. It defines classes of regular difference operators by coefficient balance and conditioning properties, proves unique solvability, and gives estimates for…
G. A. Kapralova, L. Yu. Rusin, A. M. Chaikin, A. E. Shilov
This paper examines elementary reactions of molecular fluorine that generate atoms and radicals, focusing on additions to olefins and hydrogen abstraction from hydrogen iodide. Using low temperature surface reactions, BET surface measurements, and diffusion flame methods, the authors determine kinet…
N. G. BAKHSHIEV, O. P. GIRIN, V. S. LIBOV
This paper examines how observed infrared absorption spectra of liquid chloroform and carbon tetrachloride in the 740 to 810 cm−1 region differ from the corresponding true molecular absorption spectra because of internal-field effects in the condensed medium. Optical constants were determined from r…
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This study examines how the electrical double layer and solution pH influence hydrogen overvoltage on gallium, using liquid, solid, and dropping gallium electrodes in acidic chloride and sulfate solutions. Measurements of overvoltage as a function of electrolyte concentration and pH showed changes o…
O_2 + H_2O = O_3 + 2H^+ + 2e.
This study examines the nature of higher surface oxides of platinum formed during anodic discharge of hydrogen peroxide in acidic electrolyte. Using oxygen isotope labeling with hydrogen peroxide enriched in oxygen-18 and mass-spectrometric analysis of anodically evolved oxygen, the authors tested w…
O. M. FOMENKO
The paper studies theta series associated with positive definite integral quaternary quadratic forms and the decomposition of their Fourier coefficients into Eisenstein and cusp form parts. Using Petersson inner products for modular cusp forms of level q, it proves explicit bounds for the norm of th…
Corresponding Member of the Academy of Sciences of the USSR V. I. GOLDANSKII, E. F. MAKAROV,
Mössbauer absorption spectra were measured for three iron(II) complexes with diacetylthiosemicarbazone oxime derivatives in order to assess how proton removal and changes in ligand bonding affect the electric field at the iron nucleus. Using a cobalt-57 in chromium source, spectra were recorded at r…
M. N. KOLOSOV, S. A. POPRAVKO, M. M. SHEMYAKIN
This communication addresses the synthetic construction of the labile DCB ring system of tetracyclines, a key obstacle in routes to natural tetracycline antibiotics. Starting from an acetoxyketodiol derived from juglone, the authors examine protective-group strategies, Grignard addition, hydrolysis,…
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The paper studies the field embedding problem for an exact sequence of groups with abelian kernel of finite period, relative to a finite normal extension containing the required roots of unity. The problem is translated into the construction of a suitable module extension and analyzed through homolo…

This study examines the reactions of free radicals formed in irradiated serum albumin, with parallel experiments on irradiated polymethyl methacrylate as a comparison system. Radical decay and light emission during dissolution in selected solvents were followed by electron paramagnetic resonance and…
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This paper analyzes the frequency of periodic self-oscillations in electrolytic systems with a descending current characteristic and no passivation, focusing on how frequency depends on diffusion-layer thickness, applied voltage, resistance, and concentration conditions. Neglecting double-layer capa…
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This paper analyzes electromagnetic radiation produced when a uniformly moving charged particle passes near an ideally conducting wedge, a geometry in which induced surface currents near the edge can strongly affect the emission. Using Fourier components of the electromagnetic potentials, known solu…
V. A. SHUSHUNOV, V. A. YABLOKOV
This paper examines proposed ionic chain mechanisms for the acid-catalyzed decomposition of alkyl hydroperoxides, focusing on whether peresters act as intermediates in the decomposition of cumene hydroperoxide. The authors test this by generating cumyl peresters from sodium cumene hydroperoxide and …
O. D. TSERETELI
This note studies whether properties of Fourier series of summable functions are invariant under metric equivalence, defined by invertible measure-preserving transformations of the interval. Using weak and uniform topologies on the transformation group, it formulates density results for rearrangemen…
B. G. YASNITSKII, A. P. ZAITSEV
This study examines the mechanism of photochemical chlorination of chloroacetaldehyde in carbon tetrachloride and aqueous media. Chlorination under ultraviolet irradiation was followed kinetically at varying substrate concentrations and temperatures, with product analysis, quantum yield measurements…
B. V. DERYAGIN, Yu. V. GUTOP
This paper develops a theory for the fluctuational rupture of wetting liquid films as a model for the adhesion of mineral particles to gas bubbles in flotation. Treating the film as a two-dimensional layer on a plane substrate, the authors extend earlier rupture theory by incorporating slip friction…
M. S. SALAKHITDINOV
This paper studies boundary value problems for the mixed composite type equation \(y^m u_{xxx}+u_{xyy}=0\), where \(m\) is an odd positive integer, in domains divided by the line of type change and characteristic arcs. Using the representation of regular solutions as a sum of a solution of the relat…
A sequence of measurable functions
The paper studies universal sequences of measurable functions on an interval, meaning sequences whose subsequences can converge almost everywhere to arbitrary measurable target functions, and introduces refined types governed by prescribed lower and upper bounds. It defines classes A, B, and C in te…
L. P. GOR'KOV, L. P. PITAEVSKII
This paper examines the asymptotic splitting between the singlet and triplet electronic terms of the hydrogen molecule at large internuclear separation. It argues that the Heitler-London approximation is inadequate in the barrier region because electron interactions there cannot be treated perturbat…
L. P. Shapovalova, Ya. B. Gorokhovatskii, M. Ya. Rubanik
This study examines how reaction products affect the heterogeneous catalytic oxidation of isobutylene to methacrolein and carbon dioxide on a copper oxide catalyst. Using a flow circulation method with selective removal or addition of products, the authors show that methacrolein chiefly inhibits par…
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The paper studies uniqueness for the zero-initial Cauchy problem for operator-differential equations in Banach spaces, allowing closed linear operators whose domains need not be dense and interpreting solutions in a weak sense. It gives sufficient uniqueness conditions in terms of lower bounds for o…
K. DOCHEV
This note proves an inequality for trigonometric polynomials of degree n evaluated at conjugate complex arguments, bounding a weighted symmetric combination by the maximum modulus on the real period and a factor involving hyperbolic functions. The proof reduces the problem to an algebraic polynomial…
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The paper studies when uniform properties of metric spaces can be characterized by topological properties of the remainder of their canonical bicompact extension associated with the natural proximity. It proves that, for a metric space, completeness is equivalent to several topological conditions on…
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This note studies metrization and perfect mappings through countable systems of coverings, decompositions, and projection spectra associated with a topological space. It proves several equivalence theorems characterizing completely metrizable spaces, Baire spaces of given weight, spaces of fixed cov…
A. Yu. Levin
This paper presents a collection of results on second order linear differential equations, focusing on comparison principles, oscillation and nonoscillation criteria, eigenvalue estimates, and boundedness or asymptotic behavior of solutions. It proves a comparison theorem for proper fundamental syst…
L. D. FADDEEV
The paper proposes a perturbative method for separating self-action effects from genuine scattering effects in quantum field theory without relying on free-Hamiltonian eigenfunctions and wave-function renormalization. Using a neutral scalar meson model, it argues that the usual asymptotic condition …
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The study examines phase relations and thermoelectric properties in the Tl2Te3 to Bi2Te3 system, motivated by the poor conductivity and high thermal conductivity of Tl2Te3 despite its large thermoelectric power. Alloys prepared from high purity elements were melted, annealed for extended periods, an…
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This paper examines how equations of wave propagation may be reconstructed from the Hamilton-Jacobi equation by treating classical particles as singularities of an underlying field. The Hamilton-Jacobi equation is reformulated as an eikonal or characteristic equation in an extended space, and the as…
L. D. BERGELSON, E. V. DYATLOVITSKAYA, V. V. VORONKOVA
A descending thin-layer chromatography method on cellulose-coated plates is described for separating polyhydroxy compounds whose close mobility values limit ascending plate chromatography and paper chromatography. The authors specify the plate arrangement, adsorbent-layer geometry, solvent delivery,…
A. S. Fialkov, Ya. G. Davidovich, K. V. Kononova, I. M. Yurkovskii
This study examines the amorphization of natural graphite powders under prolonged vibrational grinding and the extent to which heat treatment restores three-dimensional graphite ordering. Taiginsk graphite was ground in a vibratory mill or dispersed by wear in vacuum, then analyzed by X-ray diffract…
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This paper studies the analytic properties of perturbative Feynman diagram contributions to scalar meson scattering, with emphasis on identifying which points of a singularity surface are actual singularities. The argument rewrites the integral representation so that relevant coefficients in the Man…
A. N. NESMEYANOV, V. A. SAZONOVA, A. V. GERASIMENKO, N. S. SAZONOVA
This paper reports the unusually facile photolytic destruction of the ferrocene system in alpha-pyridylferrocene derivatives at room temperature. Irradiation of alpha-pyridylferrocene methiodide in alkaline solution, under nitrogen, cleaves the iron, cyclopentadienyl ring bonds to give N-methyl-2-cy…
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This paper examines anodic dissolution and passivation of titanium in concentrated sulfuric acid under rectangular alternating-current polarization with controlled asymmetry in amplitude and half-period duration. Measurements of electrode potential and corrosion losses show that titanium dissolution…
I. M. Gverdtsiteli, T. P. Doksopulo
This paper examines transformation reactions of silicon-containing vinylacetylene glycols, focusing on how a triethylsilyl substituent affects addition, hydrogenation, and silylation behavior. Experiments with Speier’s catalyst showed that triethylsilane did not add to the remaining triple bond unde…
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The paper studies expansions in eigenfunctions and associated functions for a non-self-adjoint Schrödinger type differential operator on the half-line when spectral singularities occur in the continuous spectrum. Under an exponential summability condition on the complex potential, it defines an appr…
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This study investigates the unresolved crystal structure of the ferroelectric antiferromagnet BiFeO3, for which earlier powder data suggested a centrosymmetric perovskite structure inconsistent with reported ferroelectric behavior. Electron diffraction was applied to microcrystalline plates obtained…
V. M. Fedoseev, A. G. Tarasenko, L. Mrazek, A. B. Silaev
The paper examines the synthesis of 2,3-dimercaptopropylamine and previously undescribed N-monoalkyl, N,N-dialkyl, piperidino, and morpholino derivatives, compounds of interest because vicinal dithiols show biological activity. The authors replace bromine in 2,3-dibromopropylamine hydrobromide and r…
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This paper proves embedding theorems for Sobolev spaces and Orlicz classes in the critical case where the order and integrability satisfy pl = n. It establishes that functions in the corresponding Sobolev spaces, including spaces with zero boundary values and general domains satisfying a cone condit…
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This paper examines the dielectric behavior of water, alcohols, ice, and related substances with intermolecular hydrogen bonding, arguing that conventional explanations based on dipole reorientation and molecular association do not account for observed linear temperature dependences and Debye-type r…
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The paper studies spectral functions of closed symmetric operators in a Hilbert space and interprets the corresponding spectral expansions as expansions in generalized eigenvectors of the adjoint operator. Using Naimark’s dilation theorem and associated self-adjoint extensions, it introduces paramet…