V. V. SYSOEVA and A. L. ROTINYAN
This paper addresses the calculation of depolarization and superpolarization effects during electrolytic formation of binary galvanic alloys, where purely thermodynamic treatments may be inadequate. The authors derive an expression for the deposition potential of a metal entering an alloy using the …
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This note develops embedding and conjugacy theorems for subgroups of finite groups in settings extending the usual theory of Hall subgroups. It introduces quasi-Hall and quasi-Sylow divisors and formulates conditions under which properties such as existence, conjugacy, embedding into larger subgroup…
E. N. ZILBERMAN, A. Ya. LAZARIS, G. G. PETUKHOV,
This study examines the reaction of nitriles with heavy water and deuterium chloride under low-temperature conditions as a route to deuterated amides and amide hydrochlorides. A series of aliphatic, chlorinated, and aromatic nitriles were converted to amides, and the products were analyzed for deute…
B. A. Arbuzov, Yu. Yu. Samitov, R. M. Mamina
This paper examines the proton magnetic resonance spectra and conformational behavior of cyclic carbonate and sulfite esters of 2,2-dimethylpropane-1,3-diol. The authors compare spectra recorded at 24.458 MHz and argue that the carbonate shows averaged methylene and methyl resonances because rapid i…
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S. S. KABALKINA and L. F. VERESHCHAGIN
This study examines the effect of hydrostatic pressure up to 18,000 kg/cm2 on the room temperature crystal structure of ferroelectric lead titanate. Using high pressure X-ray diffraction on ceramic PbTiO3 specimens, the authors measured changes in lattice parameters and tetragonality as pressure inc…
Academician of the Academy of Sciences of the Kazakh SSR D. V. Sokol’skii and T. M. Beloslyudova
This study examines the hydrogenation and electrohydrogenation behavior of vinyl butyl ether on platinized platinum in acidic aqueous solution and aqueous ethanol, with simultaneous measurement of catalyst potential. Kinetic experiments showed very slow hydrogenation in 0.1 N sulfuric acid and a som…
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This paper studies a general linear boundary value problem for the equation \(\Delta u+\lambda c(x,y)u=0\) in a bounded plane domain, with a boundary operator of arbitrary order and a real parameter \(\lambda\). The problem is reduced to a Riemann-Hilbert boundary value problem for a first order ell…
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The paper extends the notion of weak ellipticity for even order linear partial differential operators in two real variables by using a directional first order operator with arbitrary nonzero constants. It formulates the basic homogeneous boundary value problem for a broad class of weakly elliptic eq…
Corresponding Member of the USSR Academy of Sciences V. G. LEVICH, B. M. GRAFOV
The paper develops a theory of Faradaic rectification for an electrochemical cell containing a stationary binary electrolyte without supporting electrolyte, under low-frequency sinusoidal polarization and small current amplitudes. Using slow-discharge kinetics and previously derived first-order impe…

This paper examines whether geometric nonlinearity remains important in the stability of cylindrical shells compressed beyond the elastic limit. Thirty closed circular cylindrical shells of duralumin alloy with length to radius ratio 2 and radius to thickness ratios from 25 to 135 were tested under …
E. V. NOVOSELOV
The paper derives formulas for indices of reduced residue classes using formal logarithmic and exponential series interpreted modulo a natural number. It first treats odd prime powers and powers of two, giving congruences for discrete logarithm type indices and describing suitable choices of primiti…
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The paper studies characteristic functionals of probability measures on spaces in duality, focusing on extensions of Bochner-type characterization theorems beyond the setting considered by Kolmogorov. It shows that the relevant theorem remains valid when the dual space is a separable countably pre-H…
M. A. KRAPLIN
This paper studies linear difference equations with coefficients affine in the independent variable and fixed shifts, focusing on entire and meromorphic solutions beyond the previously treated case of at most exponential growth. Using a matrix method and the associated transposed differential equati…
Yu. A. Timofeevicheva, V. B. Lazarev, and A. V. Pershikov
This paper reports experimental measurements of the temperature dependence of the surface tension of molten cesium, a quantity previously lacking reliable data because of the metal’s high chemical activity and vapor pressure. The authors used a sealed glass apparatus based on the maximum pressure bu…
Corresponding Member of the Academy of Sciences of the USSR L. F. VERESHCHAGIN, A. A. SEMERCHAN,
The paper describes a high-pressure, high-temperature apparatus designed to overcome the difficulty of introducing electrical leads into conical-punch pressure chambers. The apparatus uses a split high-pressure chamber, insulated between its sections, so that each section can serve as an electrical …
M. A. KHAIMOVA, B. I. KURTEV, and Ts. P. BEZUKHANOVA
This study examines the preparation and reactivity of arylated beta-iodo ethers formed from diphenyl-substituted ethylenic hydrocarbons under iodinating conditions in alcohols. Experiments with iodine, mercuric oxide, mercuric iodide, and iodine monochloride showed that beta-iodo ethers from 1,1-dip…
V. T. KLIMKO, T. V. PROTOPOPOVA, A. P. SKOLDINOV
This communication describes the synthesis, properties, and transformations of beta substituted acroleins as vinylogous derivatives of formic acid compounds and of malondialdehyde enols. The authors develop routes to beta alkoxyacroleins from malondialdehyde salts, acetals, and especially alkyl beta…
S. M. KOGARKO, B. A. IVANOV, and A. E. GRUNIN
This paper investigates the concentration limits of flame propagation in acetylene, air mixtures at varying initial pressures, addressing earlier discrepancies attributed to insufficient ignition energy. Experiments in steel vessels measured ignition energy as a function of mixture composition and p…
In the present note we study the plane boundary-value Poincaré problem (problem A) for an elliptic equation of the form
The paper studies the planar Poincare boundary value problem for a second order elliptic equation whose first order coefficients have first order polar singularities and whose zeroth order coefficient has a second order polar singularity. After showing conformal invariance, the problem is reduced in…
B. V. Lokshin, A. K. Piskunov, L. A. Kazitsyna, and D. N. Shigorin
Electron paramagnetic resonance spectra were measured for a series of inner complex copper compounds derived from imines of salicylaldehyde, o-hydroxyacetophenone, and beta-hydroxynaphthaldehyde, in powders and chloroform solutions. The solution spectra show copper hyperfine splitting, and in one ca…
V. N. TSYTOVICH
This paper examines how a material medium can alter the acceleration of charged particles by radiation, contrasting the weak effect of Thomson scattering in vacuum with Cherenkov absorption and emission processes in matter. Using a Green’s function approach that accounts for quantum recoil, it deriv…
E. A. Gorin
The paper characterizes when a commutative semisimple regular normed ring with identity, represented by the Gelfand transform as functions on its maximal ideal space, is the full ring of continuous functions on that compact space. It removes the symmetry assumption from Katznelson’s theorem, proving…
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This study examines the semiconducting behavior of thin layers of blood pigments, including hematin, hemin, hematoporphyrin, and a heated hematoporphyrin product identified with protoporphyrin. Temperature dependent dark conductivity and photoconductivity were measured under vacuum and in oxygen, us…
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This study examines the structure of anils of o-hydroxyaldehydes, particularly whether their properties require a benzenoid to quinoid tautomeric equilibrium or can be explained by intramolecular hydrogen bonding. Dipole moments were measured in benzene for a series of substituted anils and compared…
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The paper formulates a first boundary-value problem for a broad class of linear partial differential equations determined by a convex set of multiindices and an associated quadratic energy functional. Using boundary data described through a skeleton of admissible derivative traces, it defines an aff…
A. P. ERSHOV
This paper extends a previously noted connection between memory allocation in programming and graph coloring from a restricted class of programs to a broad class described as operator schemes. It formalizes quantities, routes, storage zones, admissible transformations, and regions of action, then gi…
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This paper examines the coordination mode of formally bidentate sulfito groups in cobalt(III) and rhodium(III) complex compounds, a question unresolved by prior structural assumptions. Using reported infrared absorption spectra, the authors compare sulfur oxygen stretching and deformation frequencie…
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The paper examines the mathematical relationship between temperature salinity curves used to diagnose ocean water masses and the vertical stability criterion for stratified ocean waters. Starting from the seawater equation of state at atmospheric pressure and neglecting pressure corrections and the …
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This note studies laws of large numbers for sequences of random variables associated with generally nonhomogeneous Markov chains, using Dobrushin-type coefficients of ergodicity for the transition functions. It gives sufficient variance conditions, expressed through the minimal ergodicity coefficien…

This paper studies stability in the large for nonlinear pulse automatic systems, including digital systems, with a nonlinear pulse element whose characteristic lies in a sector and a stable reduced continuous part. It adapts Popov’s frequency-domain approach to impulse systems by introducing truncat…
E. V. Kolontsova, I. V. Telegina
This paper examines radiation-induced structural disturbances in quartz using anomalous X-ray scattering after neutron irradiation. The authors compare diffraction patterns before and after irradiation, noting that at lower fluence diffuse maxima intensify without major structural change, while at a…
N. V. KOTELNIKOV, N. A. KORENEV, P. A. MALINEN, T. D. ERMOLINA
Chemically deposited nickel films were examined to clarify how deposition conditions, structure, and magnetic behavior are related, particularly in light of earlier reports that freshly prepared deposits are amorphous. Films were produced on copper substrates from sulfate, hypophosphite, and acetate…
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This note introduces the class of alpha spaces, locally convex spaces whose weak duals have the property that every sequentially closed subspace is closed, and studies related alpha prime spaces defined through sequential completeness of the weak dual in the Mackey topology. It proves permanence pro…
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This paper develops a quantitative calculation of the potential and electric field strength in the dense part of the electric double layer, accounting for the discrete arrangement of specifically adsorbed ions and the dielectric properties of the adjacent phase. Assuming adsorbed ion centers fixed i…
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This paper establishes congruences for the number of representations of a natural number as a sum of an odd number of integer squares. Using known formulas for the principal term involving the singular series, together with generalized Bernoulli numbers and Voronoi type congruences, it derives relat…
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This paper develops a thermodynamic Green’s function treatment for an isotropic ferromagnet with exchange interaction and arbitrary spin, extending earlier spin one half methods. It proves the diagonality of the one-particle density matrix in the spin projection basis, derives decoupled equations fo…
I. GAILĪTE, E. GUDRINIECE, Academician of the Academy of Sciences of the Latvian SSR G. VANAGS
This paper describes the preparation and reactions of 2′-amino-5,5-dimethylcyclohexanone-1-thiazole derivatives as part of a search for physiologically active thiazole compounds. The authors show that 2-halo-5,5-dimethylcyclohexanedione-1,3 reacts with thiourea in ethanol to give the aminothiazole i…
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This note studies commutative semigroups with zero that have only finitely many nonregular elements, equivalently those admitting a finite Rees ideal composition series, with particular attention to the case \(A^2=A\). It introduces reduced ideal series whose factors are elementary semigroups, prove…
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This paper addresses Fuchs’s problem of characterizing which complete direct sums of torsion-free abelian groups of rank 1 are separable. It states necessary and sufficient conditions formulated entirely in terms of the types of the rank 1 components: termination of decreasing sequences of component…
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This paper studies the first boundary value problem for general second order quasilinear parabolic equations, extending earlier work on equations with divergent principal part. Under natural growth, parabolicity, smoothness, and compatibility assumptions, with a smallness condition on certain deriva…
G. I. Perel’muter
This note derives an estimate for sums over primes of products of a nonprincipal character modulo a prime q evaluated at a rational function and an additive exponential of another rational function. Extending a problem indicated by I. M. Vinogradov, it applies Vinogradov’s method together with stren…
E. F. BUGERENKO, E. A. CHERNYSHEV, and Corresponding Member of the USSR Academy of Sciences A. D. PETROV
This study addresses the synthesis of organosilicon monomers bearing phosphorus-containing functional groups, a class of compounds of interest as precursors to phosphorus-containing silicones and other functional materials. The authors propose hydrosilylation of allylphosphinic acid chloride with ch…
Corresponding Member of the Academy of Sciences of the USSR G. A. RAZUVAEV, K. S. MINSKER,
This study examines how organic compounds with closed pi-conjugated bond systems affect the stereospecific Ziegler-type polymerization of propylene. Using a titanium trichloride and triethylaluminum catalyst system at 45 degrees, the authors measured propylene uptake in aliphatic solvent containing …
V. P. GLOTOV
This paper analyzes coherent and incoherent acoustic scattering from a deep-water layer containing randomly distributed discrete inhomogeneities, addressing cases where scatterer spacing is comparable with the wavelength and interference cannot be neglected. Using statistical averaging over scattere…
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The paper studies compactifiability properties of completely regular spaces and spaces obtained by deleting countable sets from products of compacta. It constructs a completely regular, peripherally bicompact space using a product of an interval with an ordinal space, and proves via an auxiliary lem…
V. P. Mikhailov
This paper studies existence, uniqueness, and regularity for a boundary value problem in a cylinder for a class of higher order linear differential equations with elliptic spatial part and time derivative of arbitrary order. It establishes a priori estimates in anisotropic Sobolev spaces for both st…
I. V. TANANAEV and G. B. SEIFER
E. M. Skobets, G. S. Nestyuk
This paper proposes electrochemical reduction of persulfate as a controllable method for initiating radical polymerization, based on the presumed stepwise formation of sulfate radical ions at an electrode. The authors test this approach using acrylamide solutions containing potassium persulfate, car…
D. I. RYABCHIKOV, Yu. B. GERLIT, A. V. KARYAKIN, V. A. ZARINSKII, and M. E. ZUBRILINA
This study examines the extraction of perrhenates by ketones, focusing on how ketone structure, temperature, and solvation affect distribution coefficients. Measurements of extraction equilibria for several ketones were combined with estimates of extraction heats, conductivity observations, and infr…