I. L. APTEKAR’ and D. S. KAMENETSKAYA
This paper analyzes phase transformations in binary alloys as the combined result of growth of a new phase and redistribution of components between coexisting phases. Using free energy expressions for a two-phase system, it derives equilibrium conditions for three limiting cases: diffusion-controlle…
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This paper develops a ring-theoretic framework for studying one-sided invertibility in normed rings and applies it to operator equations, Toeplitz-type systems, and singular integral equations. It establishes criteria for left, right, and two-sided invertibility of elements generated by an element w…
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The paper studies a nonlinear boundary-value problem for analytic functions in the upper half-plane, motivated by elastic-plastic problems, with boundary conditions prescribing either the modulus of the unknown function or a real linear relation on complementary parts of the real axis. It reduces th…
M. F. TIMAN
This paper studies the approximation of periodic functions in \(L_p\) by linear summation processes applied to their Fourier series, with errors compared to best trigonometric approximation. It proves general estimates for arbitrary triangular summability matrices, including analogues of Lebesgue-ty…
A. ASHIROV, I. M. RUMANOVA, N. V. BELOV
The paper determines the crystal structure of hydroboracite, a hydrated calcium magnesium borate, using X-ray diffraction data from Weissenberg photographs and analysis of systematic extinctions and intensity statistics. The structure was solved in the monoclinic space group P2/c by Patterson method…
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This paper studies oscillation and nonoscillation of solutions to higher order ordinary differential equations of the form \(u^{(m)}+F(u^2,t)u=0\), where \(F\) is nonnegative and monotone in its first argument. Using sign properties of derivatives of nonoscillatory solutions, the author classifies s…
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This paper studies restrictions on entire functions whose exponentials can serve as characteristic functions of probability laws, motivated by a question of Yu. V. Linnik concerning transcendental entire functions of at most minimal type of order one. Using refined growth theory for entire functions…
A. S. Kuz’minskii, M. B. Neiman, T. S. Fedoseeva,
This study examines free radicals formed during gamma irradiation of cis- and trans-polyisoprenes and their relation to polymer cross-linking. Using electron paramagnetic resonance, the authors characterize radical spectra under vacuum, air exposure, and low-temperature irradiation, and measure radi…
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The study examines the kinetics of ethylene oxidation by palladium salts in aqueous solution, using p-benzoquinone to reoxidize palladium and monitoring the quinone to hydroquinone ratio by an electromotive force method. Under conditions where palladium metal does not accumulate, the oxidation is fi…
G. M. Malyshev, G. T. Razdobarin, and L. V. Sokolova
The paper proposes a method for recording time sweeps of spectral line contours by combining an electron-optical light amplifier with a Fabry-Perot interferometer and a preliminary-dispersion monochromator. The authors argue that sweeping the image electronically across the amplifier screen avoids t…
A. F. BELYAEV, S. A. TSYGANOV
This study examines combustion at elevated nitrogen pressures in compacted mixtures of potassium perchlorate with nonvolatile, nondecomposing fuels, graphite and tungsten, where combustion can occur only through interaction between oxidizer decomposition products and fuel particle surfaces. Burning …
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This paper reports measurements of the saturated vapor pressure of metallic scandium, a quantity important for vacuum sublimation methods used to obtain high-purity scandium. The authors used an integral Knudsen effusion method with tantalum crucibles and quartz condensate receivers, determining con…
I. I. DANILYUK
The paper studies a complex differential equation equivalent to the potentiality and incompressibility conditions for an axisymmetric vector field in cylindrical coordinates, with singular coefficients on the symmetry axis. It constructs unique kernels for a generalized Cauchy formula in the meridia…
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This study examines the solvent extraction of technetium-99 from aqueous sodium pertechnetate solutions using quinoline, tributyl phosphate, acetone, acetylacetone, thenoyltrifluoroacetone, and several ion-association systems. Distribution coefficients were measured radiometrically under acidic, neu…
A. M. Ilyin and R. Z. Khasminskii
This note studies the long time behavior of nonhomogeneous diffusion processes in Euclidean space whose transition densities are Green’s functions for a pair of adjoint parabolic equations. Under a dissipativity condition on the coefficients, ensuring that the distribution does not spread to infinit…
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The paper introduces the notion of computable invariants for equivalence relations on constructive objects and studies their limitations for words, associative calculi, inverse calculi, and higher-dimensional polyhedra. It defines transformation relations for associative and inverse calculi and prov…
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This study examines ammonia complexes of formally divalent indium dihalides, focusing on whether their behavior is better explained by ionic mono and trivalent indium species or by dimeric molecules containing an indium to indium bond. Indium dibromide and diiodide were reacted with dry ammonia unde…
A. D. NEUIMIN and S. F. PAL’GUEV
This study examines charge transport in solid oxide electrolytes based on cerium dioxide with lanthanum, neodymium, and yttrium oxides, focusing on whether current is carried by cations, oxygen ions, or electronic carriers. The authors modified gravimetric electrolysis with reversible oxygen electro…
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This paper examines the relationship between deterministic and statistical formulations of optimal synthesis for automatic control systems subject to continuously acting disturbances. It compares invariant control systems, characterized through K(D)-images of disturbance functions, with Wiener optim…
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This paper examines the temperature dependence of electrical resistivity in solids by relating carrier scattering to both dynamic lattice vibrations and static displacements caused by impurities and defects. Using a Debye approximation and the Debye Waller treatment of mean square ionic displacement…
G. L. Galchenko, B. I. Timofeev, S. M. Skuratov
This paper determines the standard heat of formation of crystalline decaborane, for which earlier literature values were uncertain, by calorimetric measurement of its thermal decomposition. Purified decaborane was pyrolyzed in a quartz vessel suspended in an isothermal-jacket calorimeter, with the e…
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This note addresses time-optimal control problems in which Filippov’s existence condition may fail, so that an ordinary optimal control need not exist although minimizing trajectories may converge to a limiting motion. It introduces sliding optimal regimes as limits of rapidly switching admissible c…
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This study examines how cavitation influences abrasive wear on hydraulic machine surfaces, focusing on local grooved wear and wavy wear produced by sand laden water flowing past a circular cylinder. Experiments in a hydrodynamic tube used lead and composite specimens, controlled cavitation condition…
A. S. UPALOV
This paper develops a projective differential theory for curves in n-dimensional projective space by associating a curve with a central conical surface and a doubled fibered space. It constructs differential invariants of least possible order, affine connection objects, a natural frame, and Frenet-t…
N. S. LANDKOF
This paper develops a general theory of linear filters defined by convolution with a transition function, distinguishing stable filters from a broader class of weakly stable filters characterized by an energy condition for rectangular impulses. It formulates three problems concerning the realization…
R. R. MULLARI
This paper studies principal directions of an m-dimensional surface in Euclidean space through the infinitesimal displacement of its tangent plane. It defines directions that are principal relative to a given tangent direction, derives their determining equations from the second fundamental form, an…
E. N. Rengevich, V. I. Staninets, Academician of the Academy of Sciences of the Ukrainian SSR E. A. Shilov
This study examines the role of cyclic transition complexes in iodination reactions of unsaturated compounds that proceed with intramolecular ring closure. Kinetic measurements in aqueous potassium iodide solutions show that free iodine is the active iodinating agent and that iodocyclization rates d…
I. G. PORTNOV
This paper studies a one-dimensional freezing, or Stefan, problem with a moving phase boundary and an arbitrary prescribed temperature at a fixed boundary. Using a change to coordinates attached to the moving front and the two-sided Laplace transform, it represents the temperature field by Poisson-t…
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This paper reports the preparation and electron paramagnetic resonance study of several trivalent titanium compounds, including titanium(III) carbonate and fluoride-containing complexes that the author states had not previously been described. Titanium(III) carbonate was precipitated from titanium(I…
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This paper analyzes adsorption peaks in differential capacitance curves of a mercury electrode in solutions containing organic adsorbates. Using the Frumkin adsorption isotherm, it derives expressions for the additional capacitance, peak position, peak width, and peak height as functions of coverage…
Yu. F. Deinega and G. V. Vinogradov
This paper examines how strong electric fields affect the structure and rheological behavior of nonaqueous plastic disperse systems, using hydrated calcium grease and sodium soap-thickened lubricants as examples. The authors combine polarized-light microscopy with experiments in a plastoviscosimeter…
N. Kh. ROZOV
This paper studies relaxation oscillations in singularly perturbed systems of two first-order differential equations, focusing on periodic solutions close to discontinuous limiting cycles composed of slow and fast motions. Building on earlier matched asymptotic constructions, it refines local expans…
D. I. RYABCHIKOV, I. K. TSITOVICH, and M. K. TORPUDZHIYAN
This study compares the sorption of fourth-period transition-metal cations by a range of mineral ion exchangers, with chromatographic alumina used as a reference. Dynamic column experiments with sulfate solutions were used to measure uptake of chromium(III), iron(III), manganese(II), iron(II), cobal…
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This study examines the electrode behavior of thermally treated polyacrylonitrile, an organic semiconductor known to catalyze hydrogen peroxide decomposition, and compares it with carbonized viscose carbon. Polarization measurements in acidic and alkaline solutions under hydrogen, air, and oxygen at…
Yu. Ya. Gotlib and I. V. Sochava
This paper develops a molecular calculation of the low-temperature heat capacity of linear polymers, focusing on polyethylene and polytetrafluoroethylene. Treating each polymer chain as a one-dimensional crystal with a complex unit cell, the authors use the Born-Karman method and force constants der…
S. A. Shchukarev, S. N. Andreev, and T. G. Balicheva
This study examines the OH stretching vibrations of perchloric acid in the gas phase, anhydrous liquid, and solid monohydrate in order to assess hydrogen bonding and related changes in the OH bond. Infrared spectra were measured with prism spectrometers, using purified anhydrous acid and prepared hy…
Ya. N. ROITENBERG
The paper addresses the determination of the phase-space position of a nonlinear controlled system when the initial phase coordinates are unknown, only one phase coordinate can be measured, and the origin of that measured coordinate is itself unknown. The system is reduced from higher-order nonlinea…
V. S. MYLNIKOV, A. M. SLADKOV, Yu. P. KUDRYAVTSEV, L. K. LUNEVA, V. V. KORSHAK and A. N. TERENIN
This paper investigates the internal photoelectric effect and photoconductive behavior of a series of synthesized acetylenic polymers, following earlier work on their semiconductor properties. Using direct-current photoconductivity measurements and a capacitor method under modulated illumination, th…
A. Ya. Gokhshtein and A. N. Frumkin
This paper investigates periodic undamped current self-oscillations in nonpassivating electrolytic systems with a falling polarization characteristic, testing whether the theory previously developed for mercury electrodes also applies to solid electrodes. The authors replace surface tangential renew…
A. E. MIKIROV
Daytime sky brightness in the upper atmosphere is examined as a means of identifying aerosol scattering above the molecular atmosphere. Using rocket-borne photoelectric photometer measurements at different altitudes and wavelengths, the study derives aerosol optical thickness and scattering coeffici…
I. P. Gol’dshtein, Z. F. Il’icheva, N. A. Slovokhotova,
This study uses infrared and electronic spectroscopy to examine the interaction of thiophane and thiophene with tin tetrachloride, comparing the nature of the complexes inferred previously from dielectrometric measurements. Shifts in the C,S vibration of thiophane indicate donor, acceptor coordinati…
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The study examines the reaction of p-dimethylaminophenylmercury hydroxide with aminoazo compounds of the benzene, naphthalene, and anthracene series, addressing the absence of reported mercury derivatives of p-aminoazo compounds in which mercury is not bound to the aromatic nucleus. A series of crys…
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This study examines the synthesis and physicochemical properties of reduced hydrated molybdenum oxide compounds, often described as molybdenum blues, over compositions ranging from molybdenum trioxide toward molybdenum dioxide. Preparations obtained by chemical reduction, oxidation, solution mixing,…
V. P. MIKHAILOV
This note studies extension of functions from anisotropic Sobolev spaces on a two-dimensional bounded convex domain to the whole plane, with preservation of an a priori norm estimate. For functions in \(W_{(x,y),2}^{(m,n)}(Q)\), with \(m<n\), satisfying vanishing boundary conditions in the \(x\) dir…
V. B. RATINOV, T. I. ROZENBERG, and N. M. RUBININA
This study examines the dependence of the crystallization rate of high-sulfate calcium hydrosulfoaluminate on supersaturation in unseeded solutions and estimates its free surface energy at the crystal, solution boundary. Two experimental series varied either calcium hydroxide or aluminum sulfate con…
V. A. BARACHEVSKII, V. E. KHOLMOGOROV, E. I. KOTOV,
This study examines the formation and identification of positive radical ions of anthracene, perylene, and tetracene produced by vacuum adsorption of their vapors on oxide adsorbents, chiefly alumina silica gel. Diffuse reflection absorption spectra and electron paramagnetic resonance spectra were c…
D. P. Bort, A. G. Kronman, K. S. Minsker, B. P. Shtarkman
This study presents an electron microscopic examination of highly crystalline polyvinyl chloride prepared by free-radical polymerization in aldehyde solutions, with crystallinity assessed by electron diffraction. Films cast from cyclohexanone solutions were examined before and after heating at 80, 1…
V. D. KASHCHEEV, B. N. KABANOV, D. I. LEIKIS
This study examines whether anodic activation of previously passivated iron, known in alkaline media, also occurs in acid solutions and what this implies for the mechanism of passivation. Using electrolytic iron electrodes in sulfuric and perchloric acids, the authors recorded potentiostatic polariz…
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This note studies a free-boundary mixed problem for two parabolic equations whose coefficients are discontinuous across an initially unknown moving interface, motivated by hydraulic engineering problems involving injection of binding liquids into porous rock. The problem, known as Verigin’s problem,…
I. P. Skibida, Z. K. Maizus, N. M. Emanuel'
This paper proposes an open-system kinetic method for determining the rates of formation and consumption of intermediate products in complex chain reactions, where radical concentrations are not directly known. The authors derive relations for stationary concentrations when a known amount of an inte…