Showing 50 of 25456 papers

ON BENDING SURFACES OF POSITIVE CURVATURE UNDER CERTAIN BOUNDARY CONDITIONS

1.** Under an isothermally conjugate parametrization
1962 SovietRxiv: ru-196201.36538

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…

ON SUBDIRECTLY INDECOMPOSABLE SEMIGROUPS

Unknown
1962 SovietRxiv: ru-196201.36495

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 …

Hammett Constants of the Ethylenimine Ring

V. F. BYSTROV, O. A. YUZHAKOVA, R. G. KOSTYANOVSKII
1962 SovietRxiv: ru-196201.36393

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…

On a Class of Singular Integral Equations with Shift

Unknown
1962 SovietRxiv: ru-196201.36386

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 …

On Fast Descent Algorithms

V. V. IVANOV
1962 SovietRxiv: ru-196201.36354

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 …

On the Possibility of Applying Secondary Ion-Ion Emission to the Study of Heterogeneous Catalytic Reactions

Ya. M. Fogel, B. T. Nadykto, V. F. Rybalko, R. P. Slabospitskii, I. E. Korobchanskaya
1962 SovietRxiv: ru-196201.36217

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…

Quantum Yields of Iodine Photodissociation in Solutions

A. V. SAVITSKII, Ya. K. SYRKIN
1962 SovietRxiv: ru-196201.36182

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…

Automorphisms of Homogeneous Convex Cones

Unknown
1962 SovietRxiv: ru-196201.36108

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…

On the Role of Counterterms and the Dispersion Approach to Quantum Field Theory

B. V. MEDVEDEV and M. K. POLIVANOV
1962 SovietRxiv: ru-196201.36088

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…

Effect of X-Ray Radiation on the Electrochemical Oxidation of Formic Acid on a Pt Anode

P. I. DOLIN, D. V. KOKOULINA, S. A. BRUSENTSEVA, and S. A. KABAKCHI
1962 SovietRxiv: ru-196201.35949

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…

Effect of Thermal and Mechanical Surface Treatment on the Amount of Ion Adsorption on Platinum

N. A. BALASHOVA and G. G. ZHMAKIN
1962 SovietRxiv: ru-196201.35946

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…

ON THE SOLUBILITY POLYTHERM OF THE SYSTEM

O. K. YANAT’EVA and V. T. ORLOVA
1962 SovietRxiv: ru-196201.35920

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…

Reactions of an Aqueous Solution of Polyacrolein with Inorganic Salts

Corresponding Member of the Academy of Sciences of the USSR M. M. Koton, I. V. Andreeva,
1962 SovietRxiv: ru-196201.35908

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…

Integral Representations for Meromorphic Functions

Unknown
1962 SovietRxiv: ru-196201.35856

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…

ON LOCAL REGULARIZATIONS OF THE COEFFICIENT FUNCTIONS OF THE SCATTERING MATRIX

Since these functions are generalized functions and have singularities of the type
1962 SovietRxiv: ru-196201.35804

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…

A Special Case of a Solution to the Coagulation Equation

V. S. SAFRONOV
1962 SovietRxiv: ru-196201.35755

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…

Study of Niobium Sulfides

L. A. GRIGORYAN and A. V. NOVOSELOVA
1962 SovietRxiv: ru-196201.35707

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 …

Radar Observation of Venus

E. B. KORENBERG, V. P. MINASHIN, V. A. MOROZOV, N. I. NIKITSKII,
1962 SovietRxiv: ru-196201.35684

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…

Disjoining Pressure of a Gas Film

Unknown
1962 SovietRxiv: ru-196201.35585

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…

QUANTUM THEORY OF A ROTATING AND DEFORMABLE PARTICLE

Unknown
1962 SovietRxiv: ru-196201.35479

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…

Synthesis and Structure of Nitrobutadiene Derivatives

S. M. Kvitko, V. V. Perekalin, V. N. Vasil’eva,
1962 SovietRxiv: ru-196201.35428

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…

ON THE RITZ METHOD IN NONLINEAR PROBLEMS

The purpose of the present article is to prove the following theorem.
1962 SovietRxiv: ru-196201.35408

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…

On the rearrangement of methyldi(diethylphosphono)carbinol

A. N. Pudovik and I. V. Konovalova
1962 SovietRxiv: ru-196201.35338

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…

Fractional Step Method for Solving the Cauchy Problem for the Multidimensional Wave Equation

A. N. KONOVALOV
1962 SovietRxiv: ru-196201.35137

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 …

On the Asymptotics of Waves in a Fluid of Finite Depth Generated by an Arbitrary Initial Elevation of the Free Surface

R. M. GARIPOV
1962 SovietRxiv: ru-196201.34812

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…

Quasilinear Equations for Quantum Plasma

A. A. VEDENOV
1962 SovietRxiv: ru-196201.34635

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…

On Open and Nearly Open Mappings of Topological Spaces

A. ARKHANGELSKII
1962 SovietRxiv: ru-196201.34086

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…

Synthesis and transformations of $\alpha$ , $\omega$ -dicyanoalkyltetramethyldisiloxanes

Corresponding Member of the Academy of Sciences of the USSR A. D. PETROV, V. M. VDOVIN, and R. SULTANOV
1962 SovietRxiv: ru-196201.34037

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…

Structural and Stereochemical Direction of the Alumohydride Reduction of 1,4,4a,9a-Tetrahydroanthraquinones

Yu. A. ARBUZOV, Yu. P. VOLKOV, M. N. KOLOSOV
1962 SovietRxiv: ru-196201.33792

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…

A new method for the calculation of magnetic interference

S. N. GORODENSKII
1962 SovietRxiv: ru-196201.33681

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…

On Some Elliptic Systems Degenerating on the Boundary of a Domain

In this paper we consider systems of linear partial differential equations of the second order of the form:
1962 SovietRxiv: ru-196201.33644

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…

Generalized regularly monotone functions and a criterion for the absolute convergence of a quasipower series

G. V. BADALYAN
1962 SovietRxiv: ru-196201.33633

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…