1.** Under an isothermally conjugate parametrization
The paper studies bendings of bounded pieces of surfaces of positive Gaussian curvature under geometric boundary conditions. It reformulates the Gauss and Codazzi equations, in an isothermally conjugate parametrization, as a nonlinear boundary value problem for a complex function determined by the s…
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This note examines the post-critical elastic state of hinged cylindrical shells subjected to torsion, focusing on deformation after loss of stability and the associated upper and lower critical loads. The analysis models post-critical shapes as isometric bendings with periodic structure inherited fr…
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This paper studies subdirect decompositions of semigroups and characterizes subdirectly indecomposable semigroups through stable equivalence relations. It proves that every such semigroup has at least two separating elements and a kernel, establishes restrictions on central idempotents, and derives …
V. F. BYSTROV, O. A. YUZHAKOVA, R. G. KOSTYANOVSKII
This paper determines Hammett substituent constants for the ethylenimine ring, whose usual evaluation from dissociation constants is hindered by instability in acidic media. Para- and meta-fluorophenylethylenimines were synthesized from the corresponding fluoroanilines, characterized analytically an…
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This note studies a class of singular integral equations on a Lyapunov contour that include conjugation, Cauchy singular integrals, and a Carleman shift of the argument. The authors reduce the equation to an equivalent system of singular integral equations, formulate the adjoint problem, and derive …
V. V. IVANOV
The paper develops a rapid descent algorithm for constrained minimization of a differentiable function over a bounded domain defined by differentiable convex inequalities. It describes procedures for finding an interior feasible point, minimizing along a feasible direction, and constructing descent …
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The paper examines the ambiguity in defining four momentum in Snyder type quantized space time, where momentum space is represented by a five dimensional hypersphere admitting multiple relativistically covariant parametrizations. It compares geodesic, stereographic, and orthogonal projections, deriv…
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This paper develops a theoretical treatment of how potential-dependent adsorption affects the irreversible electroreduction kinetics of neutral organic substances at electrodes. Using Frumkin’s adsorption theory at low surface coverage, the authors derive expressions for current and polarization beh…
Ya. M. Fogel, B. T. Nadykto, V. F. Rybalko, R. P. Slabospitskii, I. E. Korobchanskaya
This paper examines whether secondary ion emission mass spectrometry can be used to study elementary processes in heterogeneous catalysis, using ammonia decomposition on platinum as a test case. A platinum ribbon catalyst was bombarded with argon ions while mass spectra of secondary ions from the su…
A. V. SAVITSKII, Ya. K. SYRKIN
This study examines quantum yields for iodine photodissociation in solution, with particular attention to recombination of iodine atoms in the solvent cage and to the possible influence of solvents that form complexes with atomic iodine. Quantum yields were measured at 436 mµ by trapping iodine atom…
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This study examines the fine structure of the titanium X-ray emission spectrum in titanium carbonitrides in order to test the proposed interpretation of the \(K_{\beta''}\) satellite as arising from transitions involving valence levels of neighboring anions. Spectra of titanium carbide, nitride, and…
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This paper studies homogeneous convex cones and their automorphism groups through a class of finite-dimensional real matrix algebras with involution, called T-algebras. It gives a universal construction assigning to each T-algebra a cone of Hermitian elements represented as products of triangular el…
B. V. MEDVEDEV and M. K. POLIVANOV
This note examines the role of counterterms in the dispersion approach to quantum field theory, focusing on counterterms associated with mass renormalization. Using the infinite system of coupled dispersion equations, together with the stability condition for one-particle states, the authors argue t…
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This paper studies differential properties of weak and strong generalized solutions of stable hypoelliptic linear differential equations with sufficiently smooth variable coefficients. It formulates stability and hypoellipticity conditions through associated polynomial inequalities and introduces Hi…
P. I. DOLIN, D. V. KOKOULINA, S. A. BRUSENTSEVA, and S. A. KABAKCHI
This study examines how X-ray irradiation affects the anodic electrochemical oxidation of formic acid on a rotating platinum microelectrode in sulfuric acid solution. Polarographic measurements under varying formic acid concentrations, gas atmospheres, radiation doses, electrode shielding, and added…
N. A. BALASHOVA and G. G. ZHMAKIN
This study examines how thermal and mechanical pretreatment of platinum affects ion adsorption from dilute sulfuric acid solution labeled with sulfur-35. Commercial platinum foil and wire were annealed in hydrogen, air, or nitrogen, or mechanically deformed by bending, stretching, and forging, and a…
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This paper proposes and tests a laboratory method for producing strong shock waves in glass shock tubes using shaped-charge cumulative jets rather than impulse discharges or conventional explosive drivers. The experimental setup used small lined shaped charges in a rarefied explosion chamber, with s…
O. K. YANAT’EVA and V. T. ORLOVA
The paper reports a complete isothermal study of equilibria in the five-component reciprocal aqueous system K, Na, Mg parallel Cl, SO4 from 0 to 100 degrees C. Using crystallization volumes in the composition prism, it maps the temperature-dependent regions of solid-phase separation for chlorides, s…
Corresponding Member of the Academy of Sciences of the USSR M. M. Koton, I. V. Andreeva,
This paper examines the reactions of aqueous polyacrolein solutions with inorganic salts, a topic for which little prior information was available. The authors compare polyacrolein with polyvinyl alcohol and report precipitation, complex formation, coagulation, or reducing reactions with salts inclu…
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This note extends a previously established integral representation for regular functions in bounded complete doubly circular domains of two complex variables to meromorphic and related functions. It treats quotients whose denominators are either entire functions of the ratio w/z, arbitrary regular f…
Since these functions are generalized functions and have singularities of the type
The paper addresses the regularization of coefficient functions in the perturbative scattering matrix of quantum electrodynamics, where products of causal generalized functions have singularities that prevent direct interpretation as continuous functionals on Schwartz space. It proposes a local smoo…
V. S. SAFRONOV
This paper treats a special analytical solution of the coagulation equation motivated by the aggregation of solid bodies during planet formation. Assuming a coagulation coefficient proportional to the sum of the colliding masses, the author applies a Laplace transform and derives an exact solution f…
L. A. GRIGORYAN and A. V. NOVOSELOVA
This study examines phases and electrical properties in the niobium sulfur system, with particular attention to compositions not previously characterized electrically. Niobium sulfides were synthesized from purified niobium and sulfur by prolonged annealing in evacuated quartz ampoules, followed by …
E. B. KORENBERG, V. P. MINASHIN, V. A. MOROZOV, N. I. NIKITSKII,
This paper reports April 1961 radar observations of Venus conducted at about 700 MHz using pulsed circularly polarized transmissions and magnetic tape recording of the received signals, followed by wide-band and narrow-band spectral analysis. The reflected signal was resolved into a narrow-band comp…
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This paper analyzes how inhomogeneity in a thin gas film between two bodies modifies the disjoining pressure beyond the standard attraction associated with fluctuating electromagnetic fields. Treating molecular attraction to the plates as an external field, the authors derive thermodynamic expressio…
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This paper addresses limitations of conventional polarography for molten electrolytes, particularly changes in solid electrode surfaces during slow polarization and the difficulty of comparing cathodic and anodic processes. The authors propose and test an oscillopolarographic method using a prescrib…
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A quantum theory is formulated for a rotating and deformable particle modeled as a homogeneous deformable body with nine degrees of freedom, three rotational and six deformational, generalizing the rigid asymmetric top. The paper first writes the corresponding classical Hamiltonian system, derives P…
S. M. Kvitko, V. V. Perekalin, V. N. Vasil’eva,
This paper investigates the synthesis and structural characterization of nitrobutadiene and nitroaminobutadiene derivatives as model compounds relevant to the relation between nitroalkene structure and polymerization ability. The authors describe condensations of nitromalonaldehyde and nitroaminoacr…
The purpose of the present article is to prove the following theorem.
This note addresses the construction of minimizing sequences for nonlinear variational problems, a point left open in general existence arguments based on convergence of such sequences. It proves that the Ritz method yields a minimizing sequence for a functional whose domain is linear, whose restric…
A. N. Pudovik and I. V. Konovalova
This paper reexamines products previously assigned as methyldi-(diethylphosphon)-carbinol in reactions of acetophosphonic ester or vinyl acetate with diethylphosphorous acid. Using infrared spectroscopy, elemental analysis, refractive index measurements, transesterification, and an independent synth…
V. G. LEVICH and V. S. KRYLOV
This paper develops an adsorption isotherm for specifically adsorbed ions within a discrete model of the electrical double layer, where adsorbed ion centers are arranged on a regular hexagonal lattice in the inner region of a concentrated electrolyte. The authors derive relations between the potenti…
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This paper studies the propagation of an initially localized elevation of a long wave in an infinitely extended rotating basin with piecewise constant depth, including a finite ledge bounded by two depth discontinuities. The tidal equations with continuity of surface elevation and discharge at the d…
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This paper addresses the classification of stable diagonals in the composition diagram of a septenary reciprocal salt system of type 16C, specifically the Li, Na, K, Rb halide system with iodide, bromide, chloride, and fluoride ions. It presents a tabular method for determining diagonal degrees in t…
A. N. KONOVALOV
This note develops fractional step difference schemes for the periodic Cauchy problem for a multidimensional wave equation. Starting from an implicit finite difference approximation, the author constructs a factorized splitting scheme and a second related scheme, eliminates the auxiliary fractional …
S. D. BERMAN and P. M. GUDIVOK
R. M. GARIPOV
This paper studies the large time behavior of surface waves in a heavy liquid of finite depth generated by an arbitrary initial elevation of the free surface, with attention to waves propagating near the maximal velocity where standard stationary phase formulas are inadequate. Using the linear theor…
V. P. POZDNEV
This paper proposes a method for detecting crystallites in glasses with electronic electrical conductivity, especially chalcogenide semiconductor glasses. The argument combines semiconductor theory with a contactless conductivity measurement using a rotating magnetic field, on the premise that order…
A. A. VEDENOV
This paper derives quasilinear equations for a quantum plasma, motivated by weakly turbulent carrier plasmas in solids. Starting from the density matrix in the Wigner representation coupled to a self-consistent electrostatic field, the analysis separates averaged and oscillating components and obtai…
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This study examines the formation of cation radicals of aromatic amines during gamma radiolysis of frozen hydrocarbon glasses at liquid nitrogen temperature. Solutions of diphenylamine and triphenylamine in transparent isopentane and methylcyclohexane glasses were irradiated, and the resulting color…
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This paper examines the pressure-induced transition of solid helium to a metallic state by applying perturbation theory to the Hartree-Fock equations for a helium crystal. The authors classify electron states using the symmetry representations of the face-centered cubic lattice and calculate, to sec…
A. ARKHANGELSKII
This paper systematizes the study of inductively open and almost-open continuous mappings of topological spaces, defining these notions and establishing their basic permanence properties under subspaces, composition, products, and open covers. It proves representation theorems showing that broad cla…
Corresponding Member of the Academy of Sciences of the USSR A. D. PETROV, V. M. VDOVIN, and R. SULTANOV
This paper investigates the synthesis of alpha, omega dicyanoalkyltetramethyldisiloxanes and related carbofunctional organosilicon compounds as precursors to cyanoalkylsiloxane materials. The authors prepare these compounds by methylation of cyanoalkylchlorosilanes with methylmagnesium halides follo…
A. Yu. Levin
Yu. A. ARBUZOV, Yu. P. VOLKOV, M. N. KOLOSOV
This study examines the structural and stereochemical course of lithium aluminum hydride reduction of 1,4,4a,9a-tetrahydroanthraquinones, compounds relevant as intermediates toward 6-demethyltetracycline analogues. Selective partial reductions of unsubstituted, acetoxy, and benzyloxy diketones are d…
S. N. GORODENSKII
This paper develops a tensor method for calculating magnetic interference produced when a measuring platform undergoes small spatial rotations in the Earth’s magnetic field. The rotation-induced changes in field components are expressed as a second-rank tensor, separated into antisymmetric and symme…
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The paper examines whether nonzero electric charge and the construction of a charge operator can be derived from the standard Wightman axioms together with gradient invariance. It analyzes vacuum expectation functions, their analytic continuation under the complex Lorentz group, and the role of the …
In this paper we consider systems of linear partial differential equations of the second order of the form:
This paper studies first boundary value problems for two classes of second order linear elliptic systems in a planar domain whose boundary includes a segment on which the equations degenerate parabolically. It introduces weighted Sobolev-type spaces and negative norms adapted to the degeneracy, then…
G. V. BADALYAN
This note studies generalized regularly monotone functions associated with a nondecreasing sequence of exponents and their relation to expansions in quasi-power series. It defines the classes R, T, AT, and AC, compares their inclusions, and gives necessary and sufficient conditions for representatio…