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This paper examines the unresolved structure and tautomeric behavior of bindone and several substituted derivatives, including bromo, nitro, methyl, oxime, isobindone, and potassium salt forms. The authors compare infrared and ultraviolet spectra and polarographic data with those of indandione-1,3 a…
A. I. Gel'bshtein, Yu. M. Bakshi, and M. I. Temkin
The study examines the kinetics of vapor-phase hydration of ethylene to ethanol over phosphoric acid supported on silica gel under pressures and temperatures close to industrial practice. Using flow experiments with varied ethylene pressure, water pressure, contact time, catalyst grain size, and aci…
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This paper establishes a sufficient condition for Hölder continuity of continuous mappings from a domain in Euclidean space into a higher-dimensional Euclidean space whose weak first derivatives satisfy an integral isoperimetric-type inequality. The argument derives a growth estimate for the integra…
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This study examines how adsorption of chloride, bromide, and iodide ions affects hydrogen ion discharge on palladized palladium electrodes and the ionization of hydrogen dissolved in palladium. Using anodic charging curves and polarization measurements in acidic and alkaline electrolytes, it compare…
I. I. ARTOBOLEVSKII
This paper examines a class of coupler curves in plane four-bar mechanisms, defined not as loci of points but as envelopes of straight lines fixed in the coupler plane. It derives the family equation for such lines, expresses the relevant geometric parameter and its derivative in terms of mechanism …
T. M. MULYARCHIK
Interferometric observations at Loparskaya during winter 1958 to 1959 were used to measure Doppler widths of the forbidden auroral emissions 6300 Å [O I] and 5198 to 5200 Å [N I] with a Fabry-Perot interferometer and calibrated instrumental contours. The paper discusses the conditions under which li…
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The paper develops a nonlinear formulation for the plane unsteady wind generated above an inclined thermally homogeneous surface with prescribed time-dependent surface temperature. Assuming constant turbulent viscosity and thermal conductivity, it introduces scaled variables and represents velocity …
L. S. RAKOVSHCHIK
This paper studies one-dimensional integral equations in Lp spaces whose kernels are almost of difference type, represented through Fourier transforms by operator symbols depending on both position and frequency. It establishes boundedness criteria for such operators, including cases with absolutely…
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This study compares the catalytic hydrogenation of sodium propiolate in aqueous alkaline solution over Raney nickel, platinum, and palladium catalysts at several temperatures and concentrations. Kinetic measurements, catalyst potential tracking, and polarographic analysis are used to distinguish hyd…
D. B. DOICHINOV
This note addresses conditions under which uniform spaces can be embedded uniformly in generalized Hilbert spaces, in response to questions about uniform analogues of classical metrization and embedding theorems. It proves that any uniform space satisfying the condition that every uniform cover admi…
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This paper addresses the calculation of the radial distribution function of atoms in a liquid at high density, where standard low-density correlation methods become difficult to apply. It proposes replacing the usual superposition approximation with an assumption that liquid particles may be associa…
A. A. VERTMAN and A. M. SAMARIN
This paper examines the state of carbon in liquid cast iron, addressing whether carbon is present only in solution or also as larger carbon-rich formations. The authors centrifuged molten cast iron in corundum crucibles, rapidly quenched the samples, and chemically analyzed carbon contents at the en…
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B. V. Shabat
This paper extends the modulus method and its extremal length interpretation from the geometric theory of functions of one complex variable to three-dimensional Euclidean domains. It defines moduli for families of rectifiable curves and quadrable surfaces using admissible metrics, and proves distort…
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The paper examines the definition of generalized solutions for quasilinear hyperbolic systems in divergence form, focusing on Gelfand’s proposal to select limits of solutions of viscous regularizations. It argues that hyperbolicity alone does not make this definition intrinsic, since the limiting di…
L. N. SHEVRIN
This note studies when a semigroup can occur as a densely embedded ideal of a larger semigroup, a notion arising in the abstract characterization of transformation semigroups. After recalling annihilators and characteristic ideals, it proves that any semigroup with a nontrivial annihilator cannot be…
V. Ya. GOLDIN
This paper develops characteristic difference schemes for a nonstationary one-group kinetic Boltzmann equation describing neutron transport in a reactor with isotropic scattering, initial data, and absorbing boundary conditions. The method integrates the equation along neutron characteristics, intro…
V. I. LAVRENT'EV, Ya. I. GERASIMOV, and T. N. REZUKHINA
The study investigates the equilibrium reduction of barium molybdate by hydrogen at 1200 to 1400°C as part of a broader thermodynamic analysis of molybdates. Using a circulation method and X-ray diffraction, the authors show that BaMoO4 is reduced in two stages, first forming perovskite-type BaMoO3 …
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This study examines whether aminoacyl residues can be transferred from O-peptides of beta-hydroxyamino acids to proteins under enzymatic conditions. N-benzoyl-(O-benzoylphenylalanyl-C14)-serine was synthesized and incubated with insulin or blood-serum albumin in phosphate buffer, with chymotrypsin, …
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This study addresses the rapid separation of francium from its alkali-metal analogs cesium and rubidium, a problem complicated by the short half-lives of the longest-lived francium isotopes. The authors measured distribution coefficients for trace francium, cesium, and rubidium between KU-1 cation-e…
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The paper studies interpolation and tabulation of periodic functions of several variables whose Fourier coefficients satisfy a product type algebraic decay condition. Using Korobov type lattice points on a parallelepipedal grid, it constructs approximate Fourier coefficients from only N function val…
N. V. ALEKSEEV, Ya. I. GERASIMOV, and A. M. EVSEEV
The thermodynamic properties of liquid indium bismuth alloys were investigated between 240 and 300°C using an electromotive force method with a molten chloride electrolyte and an indium ion concentration cell. Indium activities were calculated from measured emf values, bismuth activities were obtain…
V. M. BELOUSOV, Ya. B. GOROKHOVATSKII, M. Ya. RUBANIK, and A. V. GERSHINGORINA
This paper investigates the pathways by which carbon dioxide is formed during the catalytic oxidation of propylene to acrolein on copper contacts supported on carborundum. Using flow experiments under conditions intended to avoid diffusion limitations, the authors compared propylene and acrolein oxi…
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This paper examines whether empirical relative permeability relations obtained for externally introduced gas-liquid mixtures can be applied to filtration of gas-saturated liquids in which gas is liberated from solution. Using linear flow experiments in uncemented sand and dimensional analysis, it co…
Academician of the Academy of Sciences of the Tajik SSR K. T. Poroshin, Yu. I. Khurgin, and M. G. Dmitrieva
The study examines the basic hydrolysis of p-nitrophenyl esters of glycine, glycylglycine, and diglycylglycine, together with their N-carbobenzoxy derivatives, as models for activated amino acid and peptide esters in aqueous media. Hydrolysis was followed spectrophotometrically at 405 nm in a 1:1 al…
V. S. Vladimirov
The paper studies envelopes of holomorphy for domains formed by adjoining a complex neighborhood of a real domain to the forward and backward tube domains associated with the light cone. Using boundary values of holomorphic functions of controlled growth, the edge of the wedge theorem, and propertie…
Z. K. Maizus, I. P. Skibida, and N. M. Emanuel
This paper examines the mechanism of chain branching during oxidation of n-decane, focusing on whether hydroperoxide decomposition proceeds only by monomolecular cleavage or also through bimolecular reaction with hydrocarbon molecules. Using the inhibitor method with alpha-naphthol, the authors meas…
V. I. Gunar and S. I. Zavyalov
A synthetic route to phytol precursors and related isoprenoid compounds is described using alkylated dihydroresorcinol derivatives as starting materials. The method involves hydrolytic cleavage of 2-prenyl- and 2-geranyldihydroresorcinols to keto acids, reaction with excess methyllithium, dehydratio…
Unknown
The paper studies groups in which every p-subgroup is complemented for each prime p, termed primarily factorizable groups, as a variant of fully factorizable groups. It introduces fully primitive components, p-projections, almost commutative and primary sets, and uses these notions to describe perio…
Unknown
The paper derives estimates for Green tensors associated with boundary value problems in bounded three dimensional domains, extending Odqvist’s results for the stationary Navier, Stokes system with no slip boundary conditions. It establishes pointwise and Hölder type bounds, including logarithmic fa…
B. V. STRIZHKOV, A. V. LAPITSKII, L. G. VLASOV, and A. I. TSVETKOV
This study describes the preparation of titanyl oxalate complex salts of divalent metals and examines their behavior during heating. Procedures were developed for obtaining barium, strontium, lead, and calcium titanyl oxalates, with calcium prepared in acetone rather than aqueous solution, and the p…
Academician Vikt. I. SPITSYN, L. N. KOMISSAROVA, Z. A. VLADIMIROVA,
This study examines the formation and properties of zirconium niobate and zirconium tantalate, compounds for which prior evidence was limited or absent. Mixtures of zirconium hydroxide with niobium or tantalum hydroxides were sintered at high temperature and characterized by X-ray diffraction, chemi…
Unknown
The paper studies mixed problems for second order linear hyperbolic equations with coefficients that may have jump discontinuities across prescribed surfaces, including transmission conditions for the solution and conormal derivative. Using approximation of discontinuous coefficients by smooth funct…
Unknown
The paper studies linear interpolation of a discrete-time stationary random process when its values are known except on a finite set, using Hilbert space projection and the spectral representation of the process. It characterizes interpolability in terms of the spectral density and a minimal polynom…
V. N. ZHIGULEV
This paper formulates the magnetic pushing-aside, or squeezing, of a collisionless fully ionized plasma stream by a body’s magnetic field when the return layer is thin compared with the interaction scale. It treats the return layer as an effective reflecting boundary, derives the pressure balance co…
Unknown
The paper develops a parameter variation method for computing eigenvalues and eigenvectors of a matrix whose entries depend differentiably on a parameter. Starting from a known eigenvalue at an initial parameter value, it differentiates the characteristic equation and expresses the resulting differe…
Unknown
This paper presents a hydrodynamic method for long range forecasting of mean monthly temperature anomalies over the Northern Hemisphere using aerological data made available during the International Geophysical Year. The approach linearizes the heat inflow and vorticity equations about zonal circula…
A. I. BURSHTEIN
This paper analyzes the hyperfine structure of electron paramagnetic resonance spectra for a one-electron system with two symmetric potential wells separated by a high barrier. Using perturbation theory with tunneling between wells and Fermi contact hyperfine interaction in the Paschen Back limit, i…
S. A. SMOLYAK
The paper studies interpolation and quadrature for periodic functions of several variables in the classes defined by Fourier coefficient decay conditions, denoted W_s^alpha and E_s^alpha. It estimates the optimal mean-square error when function values are sampled at N points of Korobov-type parallel…
Unknown
This note strengthens a theorem of V. Ponomarev on extending open mappings to Čech compactifications by removing a compactness assumption in the single-valued case and giving a simpler proof in the multivalued setting. It proves that a continuous, closed and open mapping from a normal space onto a n…
Unknown
This paper studies critical points of functionals on the unit sphere of a Banach space that are invariant under a periodic transformation. Using Krasnosel’skii’s generalization of Lyusternik and Shnirelman category theory, it defines genus for invariant compact sets and proves the existence of sets …
V. KABAILA
This paper studies extremal interpolation in Hardy classes \(H_p\) for \(0<p<1\), extending earlier results known for \(p\geq 1\). It proves that minimal interpolating functions have the same structural form previously established for \(p\geq 1\), using a transformation that relates a minimal functi…
Unknown
This study examines how X-ray radiolysis affects the potential of a nickel electrode in 0.68 N sodium hydroxide under different gas-phase conditions, including vacuum, neon, hydrogen, and hydrogen-neon mixtures. Using a reduced nickel electrode and a mercury oxide reference electrode, the authors me…
Academician M. I. Kabachnik, Chung Jun-Noi, and E. N. Tsvetkov
A method is described for synthesizing tertiary monovinylphosphines and their oxides, compounds that had previously been little studied. The approach uses esters of secondary phosphinous acids, or in some cases vinylphosphinous acid esters, reacting with organomagnesium reagents to replace alkoxy gr…
Unknown
This paper studies the construction of the group Ext(F,T) of abelian extensions for various classes of abelian groups, using standard exact sequences for Hom and Ext. It derives descriptions of Ext(F,T) when F is torsion-free of finite rank and T is periodic, including rank-one and complete torsion-…
Yu. A. RYABOV
The paper develops a small-parameter approach for constructing solutions of differential equations with delayed argument, treating the delay as the perturbation parameter. Starting from the solution of the corresponding equation without delay, it defines successive linear approximations whose differ…
K. A. ANDRIANOV and N. A. KURASHEVA
This paper investigates the heterofunctional condensation of bis(trimethylsiloxy)dichlorotitane with phenylmethyldiethoxysilane, and compares it with analogous reactions involving alkoxysilanes. Instead of the expected liberation of alkyl chloride and formation of simple linear polytitanorganosiloxa…
M. F. SHOSTAKOVSKII, F. P. SIDELKOVSKAYA, and F. L. KOLODKIN
The study investigates the previously unreported reaction of lactams with diacetylene, using pyrrolidone as the principal example, and compares its behavior with known reactions of lactams with acetylene. The authors show that pyrrolidone adds to diacetylene under mild conditions in the presence of …
Unknown
The paper studies asymptotic eigenvalue formulas for a first order matrix boundary value problem with a complex spectral parameter, polynomial parameter dependence in the boundary conditions, and a diagonal leading matrix with sufficiently smooth entries. It constructs a refined asymptotic represent…
Unknown
The note solves a generalized Abel integral equation on a finite interval with two weakly singular one-sided integrals and variable coefficients. Using Carleman’s continuation into the complex plane, the equation is transformed into a Riemann boundary-value problem for an analytic function on the pl…