N. K. GALKINA, R. N. RUBINSHTEIN, and M. M. SENYAVIN
This paper addresses the calculation of ion exchange equilibria in multicomponent systems, a problem previously often treated by assuming independent exchange of ion pairs. The authors derive a graphical calculation method from material balance equations and exchange isotherms, using simplified acti…
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This paper addresses the direct solution of large block systems of linear algebraic difference equations arising from grid methods for partial differential equations, with boundary conditions represented at the first and last grid layers. It proposes a combined sweep and pivoting elimination procedu…
Academician of the Academy of Sciences of the Azerbaijan SSR M. A. KASHKAI, T. A. ISMAIL-ZADE, and V. I. ALIEV
This paper reports measurements of the magnetic properties of the freshly fallen Yardymly iron meteorite and relates them to its mineralogical composition and atmospheric heating history. Using specimens cut from the meteorite, the authors measured residual magnetization and magnetic susceptibility,…
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This paper examines polycondensation as an alternative route to elastomers with inorganic main chains, addressing the difficulty that direct hydrolysis or polycondensation of difunctional monomers often yields cyclic byproducts rather than linear high molecular weight polymers. The authors propose a…
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This paper proposes empirical criteria for the occurrence of superconductivity in elements, compounds, and alloys by comparing Hall constants, interatomic distances, crystal structures, and known transition temperatures. The author argues that superconductivity is associated with a sufficient concen…
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This note develops a nonholonomic analogue of W congruences within the equiaffine theory of linear complexes. Using semicanonical and canonical moving frames, it derives invariant conditions under which a nonholonomic congruence has corresponding asymptotic lines on its nonholonomic focal surfaces, …
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The paper addresses the determination of phases of crystallographic structure amplitudes using minimization functions derived from Patterson superposition methods. It proposes a modification of Buerger’s second-rank minimization function for centrosymmetric crystals, correcting the weight of the cen…
S. Z. MAKAROV and E. I. SOKOVNIN
This paper reports quantitative measurements of the solubility and phase behavior of potassium ozonide in liquefied ammonia, data needed for purification and crystal isolation of potassium ozonide. The authors studied the ammonia, potassium ozonide system between about minus 33 and minus 80 degrees …
I. V. KALECHITS, V. G. LIPOVICH, and V. V. VYKHOVANETS
The study examines the mechanism of destructive hydrogenation of benzene over an industrial tungsten sulfide catalyst, focusing on whether methylcyclopentane forms only through cyclohexane or also directly from benzene-derived surface intermediates. Mixtures of benzene and cyclohexane, with one comp…
V. F. Zhdanovich
Corresponding Member of the Academy of Sciences of the USSR L. F. VERESHCHAGIN, A. A. SEMERCHAN,
This study examines changes in the electrical resistance of antimony, arsenic, and calcium under pressures extending beyond earlier measurements up to about 200,000 kg/cm². Using a high-pressure apparatus calibrated against known resistance discontinuities in several metals, the authors measured res…
V. L. MURSKII
The paper studies equivalent transformations of contact-rectifier circuits, extending earlier work on contact circuits and focusing on whether a finite complete system of transformation rules can exist for this broader class. It defines equivalence by equality of conductance between corresponding or…
A. A. TALALYAN
The paper proves the existence of a trigonometric series that is universal with respect to subseries: for every almost everywhere finite measurable function on the interval, some subseries converges to that function almost everywhere. This strengthens Menshov’s theorem on representation of measurabl…
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This paper addresses automatic optimization in complex control systems with many working parameters, especially when the objective function is unknown, time dependent, and accessible only through experiment. It contrasts blind search and local search methods with a proposed nonlocal “ravine” method,…
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The paper studies approximation of multivariable functions that vanish on the boundary of a domain together with derivatives up to a prescribed order, using expressions of the form a boundary defining function raised to a power times a polynomial. Building on earlier results for smoother or more reg…
A. A. GONCHAR
The paper studies when limits of rational functions with prescribed poles near a continuum determine a unique quasianalytic continuation across domains separated from that continuum. It proves geometric convergence criteria, expressed through level curves of the conformal map of the exterior of the …
Ya. F. Freimanis and Academician of the Academy of Sciences of the Latvian SSR G. Ya. Vanag
This study examines whether the imination of 2-substituted indandione-1,3 compounds with ammonium salts in organic acids is general for 2-aryl and 2-alkyl derivatives. Six new imino derivatives were prepared and characterized by melting point, solubility, yield, and nitrogen analysis, with alkyl-sub…
A. S. SCHWARZ
This note generalizes Spanier and Whitehead homotopic duality to spaces equipped with a fixed point free action of a topological group. It defines stable classes of equivariant mappings by iterated joins with a chosen equivariant sphere-like space, introduces an equivariant duality operator on finit…
M. M. Pavlyuchenko, M. P. Gilevich
This paper examines the role of interparticle contact in exchange reactions between powdered solids and in the apparent catalytic effects of solid reaction products. Using systems in which exchange produces thermally less stable compounds that decompose with gas evolution, the authors monitor reacti…
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This paper proposes a graphical method for determining the composition of a species extracted from multicomponent liquid extraction systems, using the concept of extraction rays that trace changes in the aqueous phase composition. Under assumptions of negligible extractant solubility in the aqueous …
V. N. KORSHUNOV and Z. A. IOFA
This study examines the kinetics and mechanism of decomposition of lithium, sodium, and potassium amalgams in strongly alkaline aqueous electrolyte solutions, where earlier data had been inconsistent. Using gasometric measurements in purified solutions and polystyrene apparatus designed to minimize …
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This note studies the extended monadic predicate calculus over the natural numbers with successor and predicate variables, using its connection with finite automata. It addresses questions posed by Tarski concerning decidability of the theory and definability of addition, and proves that every formu…
Yu. G. Ryzhkov, N. N. Karnaushenko
This paper reports reconnaissance measurements of deep currents in the Black Sea using an improved ultrasonic neutrally buoyant float, motivated by the need to clarify vertical water exchange and assess the implications of possible radioactive waste pollution. The authors describe the float design, …
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This paper reports refined measurements of the optical excitation functions of selected cadmium spectral lines, focusing on the resonance line at 3261 Å and the visible triplet lines near 4687, 4800, and 5086 Å. Using an excitation tube, monochromator, and photomultiplier detection under conditions …
V. L. Indenbom, V. I. Nikitenko, and L. S. Milevskii
This paper examines whether internal stress fields around individual dislocations in silicon can be observed directly by polarization optical methods in infrared light. Silicon crystals were grown with dislocations preferentially aligned along the growth direction, cut perpendicular to the dislocati…
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This paper studies when a smooth closed simply connected manifold can be embedded in Euclidean space of dimension \(2n-1\), extending Whitney’s methods for embeddings in \(E^{2n}\) using ideas related to Pontryagin’s work on homotopy groups of spheres. The argument analyzes regular and completely re…
P. A. DEMCHENKO and A. V. DUMANSKY
This study examines desolubilization of hydrocarbons from aqueous detergent solutions of naphthenic acid soaps and potassium laurinate, a problem relevant to separating solubilized systems and purifying naphthenic acids. Experiments measured how low-molecular oxygen-containing organic substances, in…
N. V. GRUM-GRZHIMAILO, I. I. KORNILOV, E. N. PYLAEVA, and M. A. VOLKOVA
This study examines the alpha solid solution region of the titanium, aluminum system, where conventional metallography did not explain the sharp increase in creep resistance and loss of plasticity at higher aluminum contents. Alloys containing 0 to 40 wt.% aluminum were prepared by powder metallurgy…
Corresponding Member of the Academy of Sciences of the USSR G. A. RAZUVAEV, V. A. SHUSHUNOV
This study examines the acid-catalyzed decomposition of cumene hydroperoxide in the presence of the cation-exchange resin KU-2, using purified reagents and controlled heterogeneous catalyst suspensions in several solvents. The reaction gave acetone and phenol in high yield and showed solvent-depende…
U Guan-li, E. B. Sokolova, I. E. Chlenov, and
This paper reports the synthesis of monohydric saturated and acetylenic tertiary alcohols of the ferrocene series from monoacetylferrocene and monobenzoylferrocene. Saturated alcohols were prepared by condensation with Grignard reagents, while acetylenic alcohols were obtained using acetylenylmagnes…
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This paper investigates the molecular diffusion of hydrogen in molten calcium aluminosilicate slags, addressing earlier mass transfer values that were likely dominated by convection in furnace-scale experiments. The authors used thin viscous slag layers at 1410 to 1600°C and measured nonstationary r…
L. V. KIRENSKII and V. A. BURAVIKHIN
This paper examines the polarity and character of domain boundaries in thin ferromagnetic films, focusing on the distinction between Bloch and Néel boundary structures. Films of an Fe, Ni, Mo alloy were prepared by thermal evaporation under a magnetic field, and their domain structures were studied …
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This note addresses the integration of potential-impulse forms used to describe discrete electronic circuits whose operation depends on changes in logical variables. It develops an algebraic method that represents each impulse conjunction as a pair of Boolean constituents and incorporates forbidden …
V. E. Vasserberg, A. A. Balandin, and T. V. Georgievskaya
This study examines how coadsorbed reacting molecules affect dehydration kinetics in the adsorbed layer on alumina catalysts prepared by different methods. Binary mixtures of lower alcohols, ethers, and water were tested by comparing the decomposition rate of a fixed small amount of one component wi…
E. G. SKLYARENKO
The note studies how homogeneity assumptions influence the dimension theory of locally bicompact infinite-dimensional spaces. It first observes that a metrizable locally bicompact doubly homogeneous infinite-dimensional space cannot have transfinite dimension omega, under the stated definition. The …
A. V. ABLOV, Yu. V. YABLOKOV, and I. I. ZHERU
Electron paramagnetic resonance was used to examine the structure and magnetic states of selected copper acetate and chloroacetate complexes, especially addition products with quinoline, pyridine, and ammonia. Measurements on polycrystalline samples at 9330 MHz showed triplet spectra for green monoq…
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The paper studies geometric properties of pairs of cones in a real Banach space, extending classical notions of normal, generating, nonflattening, and regular cones to the setting of a subcone ordered by a larger cone. It proves the equivalence of two definitions of relative normality, gives a chara…
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This note studies boundary behavior of normal meromorphic functions in the unit disk, focusing on whether limits along sufficiently dense sequences of interior points can replace limits along curves. Using results of Lehto and Virtanen, Privalov, Noshiro, and properties of normal families, it proves…
A. A. VOROB'EV, Academician of the Academy of Sciences of the Ukrainian SSR A. P. KOMAR, and V. A. KOROLEV
This paper examines whether ionization fluctuations in gases, which limit the resolving power of ionization measurements of nuclear particles, can be reduced by registering both ionized and excited atoms. Extending Fano’s treatment, the authors derive expressions for the fluctuation coefficient when…
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This paper extends results on bases in spaces of analytic functions from the open disk setting to the space of functions analytic in the closed disk, endowed with its inductive limit topology. Using duality between this space and the corresponding analytic function space on the reciprocal disk, toge…
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This paper studies when messages encoded by a variable length coding system can be decoded by a finite automaton, including under disturbances that may shift the automaton into an incorrect state or desynchronize the input. It defines stable and self-adaptive automata and proves that an ordinary dec…
Unknown
This paper studies locally convex real linear spaces ordered by a convex cone under compactness, positivity, and independence assumptions on quasi-indecomposable vectors. It defines a ring of order-bounded linear operators and identifies it with the ring of continuous real functions on the compact s…
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The paper develops a mathematically defined treatment of point pair interactions for a three-particle quantum system by replacing singular potentials with self-adjoint extensions of a symmetric free Hamiltonian restricted by coincidence conditions. For three identical bosons after separation of the …
N. I. AKHIEZER and Yu. Ya. TOMCHUK
The paper studies monic polynomials orthogonal on a finite system of intervals with respect to weights involving a positive function, extending earlier work on the associated hyperelliptic Riemann surface. Using Abelian integrals, the authors give a parametric representation for auxiliary functions …
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The paper studies the motion of the interface between two immiscible viscous fluids in a narrow slot, emphasizing the role of interfacial tension in Hele-Shaw type flows used to model filtration in porous media. Using potential theory, the pressure field is represented by logarithmic single and doub…
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This paper reports the synthesis of 6-azacytidine and several derivatives as analogs of nucleic acid pyrimidines with potential antimetabolic and antitumor activity. Starting from industrially available 6-azauridine, the authors prepared peracyl derivatives, converted them with phosphorus pentasulfi…
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The paper proposes a universal interaction curve for valence-unbound carbon and hydrogen atoms in organic molecules, reformulating the 6-exp potential in reduced coordinates using equilibrium distances and a small set of adjustable parameters. With a common parameter choice, the resulting potential …
Corresponding Member of the Academy of Sciences of the USSR B. P. NIKOLSKY, M. M. SHULTS,
This paper examines the electrode behavior of glass electrodes containing two acidic, glass-forming oxides, focusing on how small additions of a second oxide alter the transition between hydrogen and alkali-metal functions. Using potential measurements as a function of pH in buffer solutions with fi…
S. I. ZUKHOVITSKII
The paper presents a simplified numerical scheme for a previously developed finite monotone algorithm for Chebyshev approximation of inconsistent systems of linear equations. Keeping the geometric structure of the earlier method, it reformulates the computations through Jordan eliminations analogous…
E. A. ARUTYUNYAN, A. G. GYULMISARYAN, and S. G. OVSEPYAN
This paper studies eigenvalue boundary problems for the hyperbolic equation of string vibrations, replacing the usual homogeneous boundary condition by conditions involving a constant coefficient differential operator, possibly of arbitrary finite order. For the unit disk, the authors relate these p…