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This paper examines condensations of quaternary salts of 2-beta-chloropropenylbenzthiazole and benzselenazole with benzthiazole derivatives bearing alkylmercapto, sulfo, or phenoxy groups. Instead of the anticipated meso-chlorocarbocyanines, the reactions gave carbocyanine dyes in which the meso chl…
Unknown
This note gives a new proof of Vinogradov’s mean value theorem for the number of solutions of systems equating sums of like powers, with the aim of improving the dependence on the degree parameter in the resulting estimates. The argument introduces a congruence lemma for variables distinct modulo a …
N. PANGAROV, V. MIKHAILOVA
This study examines how overvoltage affects the preferred orientation of electrodeposited tin, a metal with a body-centered tetragonal lattice. Using the theory of two-dimensional nucleus formation developed by Stranski and Kaishev, the authors compare calculated formation works for the (100), (110)…
Unknown
This paper examines how electromagnetic retardation in molecular attraction modifies the theoretical dependence of electrolyte coagulating concentration on ion valency. Starting from the Derjaguin and Landau treatment of coagulation, it replaces the usual nonretarded van der Waals plate interaction …
Unknown
This paper studies tensor fields on the n-dimensional sphere in Euclidean space and seeks invariant irreducible spaces under the full orthogonal group whose finite sums uniformly approximate arbitrary continuous tensor fields. It introduces tensor fields induced from tensors in the ambient Euclidean…
I. B. Simonenko
This paper develops interpolation and extrapolation results for linear operators in Orlicz spaces, using quasipower growth conditions on defining functions and endpoint boundedness between Lebesgue spaces. It proves that an operator bounded between two pairs of Lebesgue spaces is bounded between cor…
Unknown
The paper examines two-terminal diode networks for relay and control structures as an alternative to previously studied single-terminal diode networks. It defines complete elementary two-terminal networks, states restrictions on their construction through lemmas and theorems concerning structural fo…
Unknown
The paper examines the relation between oxygen chemisorption and electrolyte adsorption on high temperature activated carbon, contrasting electrochemical interpretations with chemical theories of surface salt formation. Using carefully degassed activated sugar carbon, controlled oxygen admission, co…
M. L. TSETLIN
This note studies a repeated two-person zero-sum game in which one player is a finite automaton and the opponent uses an arbitrary mixed strategy. By reducing the interaction to the behavior of an automaton in a stationary random environment, it analyzes a linear-tactic automaton with finite memory …
E. E. GUTMAN, I. A. MYASNIKOV
This study examines how chemisorption of methyl free radicals affects the contact potential difference, and hence the electron work function, of n-type zinc oxide films. Using a vibrating-electrode contact potential apparatus, methyl radicals were generated by photolysis of acetone vapor and their a…
N. P. MELNIKOV, G. A. OSTROUMOV, M. Yu. STOYAK
This study experimentally examines the development of high-voltage electric discharges in aqueous sodium chloride electrolytes over a wide range of low-voltage specific conductivities. Using photographed incomplete discharges together with synchronized voltage and current oscillograms, the authors d…
Unknown
This paper studies the tensor product of two irreducible discrete series representations of the real unimodular group of second order, realized through its isomorphic action on analytic functions in the unit disk. Using explicit Hilbert space models and strongly convergent operator kernels, it const…
E. V. PERSHINA, Sh. Sh. RASKIN
This paper examines the use of Raman scattering spectroscopy for studying molecules adsorbed on high surface area adsorbents, where infrared measurements of full vibrational spectra are hindered by the adsorbents’ own absorption. Preliminary experiments on antimony trichloride, antimony tribromide, …
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Unknown
This paper analyzes and demonstrates coherent optical generation from a gallium arsenide p-n junction under high forward injection. It outlines the conditions for population inversion, optical gain, resonator feedback from polished crystal faces, threshold behavior, line narrowing, and expected effi…
Unknown
This paper studies algorithmic questions for partially ordered groups, both for finitely presented groups equipped with positive invariant subsemigroups and for groups specified by finitely many generators and defining inequalities. It relates effective partial orderability to decidability of member…
O. A. NESMEYANOVA, M. Yu. LUKINA, B. A. KAZANSKII
This study examines how substituents affect the reactivity of cyclopropane hydrocarbons toward electrophilic ring opening. To avoid catalyst-specific effects, the authors developed a quantitative titrimetric method based on the reaction of cyclopropane derivatives with mercuric acetate in anhydrous …
V. I. KASATOCHKIN, G. B. FINKELSHTEIN
This paper examines homogeneous and heterogeneous crystallization of carbon during high-temperature treatment of carbonaceous substances, with particular attention to sugar coke as a nongraphitizing material. Using X-ray analysis, the authors compare products obtained from different masses of sugar …
Unknown
The paper examines whether distant radiation belts or other regions with regular magnetic fields can be detected and characterized through their synchrotron or cyclotron emission using radio-astronomical methods. For a dipole magnetic field and a specified electron distribution, expressions are deri…
Unknown
The study examines pressure and temperature induced phase behavior in rutile-type magnesium, zinc, and manganese fluorides, motivated by their proximity to structural stability limits between rutile and fluorite-related arrangements. Experiments at 30 to 140 kbar and temperatures up to 1700 degrees,…
Unknown
This study uses oxygen-18 labeling and mass-spectrometric analysis to examine the mechanisms of peroxomonosulfuric acid decomposition under anodic, cathodic, thermal, alkaline, acidic, and mixed peroxide or persulfate conditions. The isotopic composition of evolved oxygen and sulfate products indica…
Unknown
This study examines how calcium chloride affects the dissolution and metastable solubility of tricalcium silicate, a question relevant to the accelerating action of calcium chloride on hydration and structure formation in silicate suspensions. Dilute suspensions were dissolved under vigorous stirrin…
V. N. VASIL’EVA, Corresponding Member of the USSR Academy of Sciences K. A. KOCHESHKOV
This study examines the light-induced stereoisomerization of alpha,alpha-prime-difluorostilbene, using dielectric measurements and ultraviolet spectroscopy to distinguish geometric isomers. Solutions of purified material were irradiated in sunlight for varying periods, and changes in dielectric cons…
Unknown
This paper examines how static strength changes at stress concentration sites, questioning the usual practice of comparing the maximum local stress directly with the material strength limit. Using cylindrical specimens with grooves of varied depth and curvature, tested in steel 45, quenched and temp…
K. S. SHIFRIN, A. Ya. PERELMAN
This paper addresses the recovery of particle size distributions in dilute turbid media from spectral transparency measurements, a problem formulated as the inversion of a first-kind Fredholm integral equation and known to be highly unstable under direct numerical treatment. Using Mellin transforms …
Unknown
This study examines the surface properties of boride catalysts of palladium, platinum, and rhodium prepared by reduction with borohydride, using charging curves to assess hydrogen sorption, binding, and specific surface area. Charging curves were recorded both by anodic polarization with electric cu…
Let it be required to find the eigenvalues of the equation
The paper develops a least squares approach for approximating eigenvalues of operator equations depending on a complex parameter in Hilbert spaces. It defines a nonnegative functional measuring the minimal residual norm and shows that, for an appropriate complete trial system, the local minima of fi…
Unknown
This paper studies asymptotic questions for the Dirichlet Laplacian on the unit square, whose eigenvalues reduce to counting lattice points satisfying a quadratic inequality. Using a known estimate for lattice points in a circle, it gives an asymptotic formula for the eigenvalue counting function wi…
L. V. SEREGIN
This note studies standard Markov processes whose trajectories are killed at a random time and distinguishes two modes of termination. It defines sigma trajectories, for which termination can in suitable settings be associated with a limiting point of the path, and delta trajectories, characterized …
I. B. LEVINSON, S. S. FEL, P. Sh. FRIDBERG
This paper formulates a general vector integral equation for the electric field at an aperture coupling two electromagnetic volumes, such as waveguides or resonators, without imposing small-aperture or special-geometry restrictions. Using affine Green functions for the two uncoupled, metallized volu…
Unknown
A theoretical estimate is developed for leveling of microprofile irregularities during electrochemical metal deposition in the presence of adsorbing surface-active substances. The treatment compares current densities at protrusions and depressions, incorporating diffusion-layer geometry, preferentia…
Unknown
This note develops an analogue for semiheaps of the Sushkevich, Rees, and Clifford structure theory for completely simple semigroups. It defines left, right, lateral, and two-sided ideals in semiheaps, constructs semiheaps from groups with zero, inverse automorphisms, and sandwich matrices, and prov…
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This paper reports the synthesis of symmetrical 3,4-bis(dialkylaminomethyl)furans as positional isomers of previously studied 2,5-bis(dialkylaminomethyl)furans whose diiodomethylates showed ganglion-blocking activity. The authors developed a route from 3,4-bis(oxymethyl)furan through 3,4-bis(chlorom…
Unknown
The paper studies simple systems of paths on the surface of the complete pretzel of genus 2 and asks when equivalence of the induced systems in the fundamental group is sufficient to realize equivalence by a homeomorphism of the surface. It analyzes nonintersecting chord systems on a punctured torus…
A. G. VITUSHKIN, L. D. IVANOV, M. S. MELNIKOV
The paper addresses Kolmogorov’s question whether the Hausdorff length of every planar set of finite positive length is bounded by an absolute constant times its minimal linear measure. It constructs, by an iterative splitting and displacement of horizontal intervals with carefully chosen parameters…
V. M. Finkelberg
This paper develops a virial-type expansion for the electrostatic polarization coefficient of a many-body system in a homogeneous external electric field, in the thermodynamic limit at fixed concentration. The method decomposes the dipole moment and electric-field tensors into cluster contributions …
Unknown
The paper studies the maximum possible length of a cycle in the graph of the n-dimensional Boolean cube, a problem motivated by algorithms for simplifying disjunctive normal forms and related coding questions. It formulates lower bounds for this maximum length, including an explicit construction for…
Unknown
This paper studies restrictions on the behavior of the boundary of a simply connected surface of positive Gaussian curvature under isometric bending. Using Vekua’s theory of generalized analytic functions, it formulates a nonlinear boundary value problem for the complex function of the bending and p…
Unknown
This paper strengthens Olevskii’s result on the divergence of Fourier series after rearrangement for complete orthonormal systems, focusing on the trigonometric system. It proves, using auxiliary lemmas on unbounded divergence of continuous functional series and on modified trigonometric polynomials…
Unknown
This paper studies elastic, rigid, plastic torsion of a cylindrical rod with a strictly convex oval cross-section, formulating the problem in terms of a stress function with an unknown elastic core and a surrounding plastic region. Using support-function coordinates for the boundary, it defines a ge…
Unknown
This paper develops a theory of generalized functions on a basic space of infinitely differentiable functions defined on a sufficiently smooth Jordan contour, using Faber polynomials associated with the contour. It proves expansion theorems for ordinary and generalized functions in systems built fro…
B. M. STEPANOV
The paper addresses the perturbative construction of the S-matrix in quantum field theory, focusing on how to define the symmetric operator coefficients without introducing preliminary propagator regularization. Using mathematical induction, the causality condition is reformulated as a statement abo…
Unknown
The paper develops a generalized Friedmann cosmological model in which the gravitational coupling is allowed to vary with the scale factor, and includes additional energy momentum terms for massless particles and the gravitational field. For isotropic spaces of positive, zero, and negative curvature…
Unknown
This paper reports the synthesis and characterization of new mixed organogermanium compounds of the types triphenylgermyl alkyl or cycloalkyl derivatives and substituted aryl triphenylgermanes. Using germanium tetrachloride as the starting material, the authors prepared tetraphenylgermane, optimized…
K. DE LEEUW, H. MIRKIL (K. DE LEEUW, H. MIRKIL)
This note examines Shilov’s analysis and synthesis of homogeneous regular normed rings of continuous functions of type C on compact groups, focusing on whether synthesis from a local ring recovers the same local ring under subsequent analysis. For strict type C rings on a torus, the authors reformul…
N. S. Fateeva, L. F. Vereshchagin, V. S. Kolotygin
This paper describes an optical method for measuring the melting temperature of graphite under argon pressure up to 3000 atm, addressing limitations of earlier studies that identified melting qualitatively and relied on visual pyrometry. The apparatus combines a high pressure vessel, electrically he…
Unknown
This paper derives hydrodynamic equations for a rotating Bose system below the condensation point in the presence of quantized vortex filaments, using a microscopic condensate formalism rather than a phenomenological approach. By averaging over vortex configurations, it obtains the superfluid veloci…
Corresponding Member of the USSR Academy of Sciences A. V. Nikolaev, A. I. Ryabinin,
This study examines the mechanism of cerium(IV) nitrate extraction from nitric acid solutions by tributyl phosphate in the quaternary system cerium(IV) nitrate, nitric acid, water, and TBP at 25 degrees C. Using the course of extraction rays, equilibrium phase compositions, and distribution coeffici…
Unknown
This paper examines the thermo-oxidative destruction of polyformaldehyde with hydroxyl and acetyl end groups at 180 to 185 °C, where oxidation competes with depolymerization because of the polymer’s low ceiling temperature. Decomposition products were collected during oxygen circulation through the …
1. Let a certain elliptic system of first order in the plane be written in the form of a single complex equation
The paper studies a first order elliptic system in the plane, reduced to the generalized analytic equation with a nonzero constant complex coefficient. Using its connection with the modified Helmholtz type equation, the author constructs two fundamental kernels in terms of Hankel functions and verif…