Showing 50 of 25456 papers

On the Theory of Erosive Burning of Propellants

V. N. VILYUNOV
1961 SovietRxiv: ru-196101.05988

This paper develops a theoretical treatment of erosive burning, the increase in propellant burning rate caused by turbulent gas flow over a burning surface. Starting from stationary combustion theory, it formulates coupled momentum, heat, and species equations with turbulent transport terms, then de…

On Some Classes of Sets and Their Applications

S. N. MERGELYAN
1961 SovietRxiv: ru-196101.05853

The paper develops a general reduction scheme for closed bounded plane sets relative to any regular class defined by monotonicity and finite additivity. It introduces transfinite derived sets and kernels for such classes, proves a decomposition lemma characterizing reducible sets as countable unions…

On the Sequence of Product Formation during the Liquid-Phase Oxidation of Cumene

V. L. ANTONOVSKII and B. I. MAKHALETS
1961 SovietRxiv: ru-196101.05622

This study examines the sequence of side product formation during liquid phase oxidation of cumene to cumene hydroperoxide under conditions close to industrial practice. Cumene was oxidized with air at 115 degrees C in a bubbling reactor, and hydroperoxide, peroxide, acetophenone, and dimethylphenyl…

Complex refraction in cuprous oxide single crystals

I. S. GORBAN’ and V. B. TIMOFEEV
1961 SovietRxiv: ru-196101.05517

This paper reports experimental evidence for complex birefringence in cubic cuprous oxide near the longest wavelength exciton absorption line of the yellow series. Using polarized light, low temperature single crystal plates, and a Fabry Perot interferometer with a prism spectrograph, the authors me…

ON THE QUESTION OF THE STRUCTURE OF URANATES

Unknown
1961 SovietRxiv: ru-196101.05432

This paper examines the structural interpretation of hydrated and anhydrous uranates, arguing against models based on discrete hydroxo-aqua or polynuclear uranate ions when they neglect crystallographic evidence from anhydrous compounds. On the basis of X-ray investigations and comparison with known…

On the Stability of an Equilibrium Position of a Hamiltonian System of Ordinary Differential Equations in the General Elliptic Case

V. I. ARNOLD
1961 SovietRxiv: ru-196101.05425

This paper studies the stability of an elliptic equilibrium of an analytic, time-periodic Hamiltonian system with one degree of freedom, in the nondegenerate general elliptic case. It proves stability for irrational linear frequencies belonging to a full-measure Diophantine class by establishing the…

Diethyl $\mathrm{Se}$-chloroselenophosphates

Jan MICHALSKI and Anna MARKOWSKA
1961 SovietRxiv: ru-196101.05424

This communication reports the preparation and reactivity of selenium analogs of previously studied chlorothiophosphoryl compounds, focusing on diethyl-Se-chloroselenophosphate. The compound is generated by chlorination of triethyl selenophosphate with sulfuryl chloride in benzene at low temperature…

On the completion and closure of an incomplete system of functions $\{e^{-\mu}k^xx^sk^{-1}\}$

Academician of the Academy of Sciences of the Armenian SSR M. M. Dzhrbashian
1961 SovietRxiv: ru-196101.05325

This paper studies the closure and completion in L2 on the positive half-line of systems of exponential monomials with complex exponents of positive real part, in the case where the Müntz completeness condition fails. Using Blaschke products, Fourier boundary values, orthogonalization, and the analy…

Complexes of diphenylethylene with tin tetrachloride and organotin chlorides

I. P. GOLDSTEIN, N. Kh. FAIZI, N. A. SLOVOKHOTOVA, E. N. GURYANOVA,
1961 SovietRxiv: ru-196101.05283

This study examines complexes formed by asymmetrical diphenylethylene with tin tetrachloride, phenyltin trichloride, and diphenyltin dichloride, motivated by the role of tin halides in cationic polymerization. Electronic spectroscopy, infrared spectroscopy, and dielectric polarization measurements w…

Riemannian spaces with orthogonal and symplectic groups of motions and an irreducible rotation group

O. V. MANTUROV
1961 SovietRxiv: ru-196101.05253

This note classifies homogeneous nonsymmetric Riemannian spaces of the form G/H whose connected compact stationary subgroup acts irreducibly on the tangent space, for compact simple motion groups of orthogonal and symplectic types, with comments on exceptional cases. The problem is reduced to determ…

Criterion for the Expandability of Functions into a Quasi-Power Series and Quasianalytic Classes of Functions

Unknown
1961 SovietRxiv: ru-196101.04954

This paper studies the representation of functions on an interval by quasi-power series defined through a prescribed nondecreasing sequence of exponents and associated generalized derivatives. It introduces classes characterized by finite order of uniform convergence and by integral bounds on succes…

Monocitrate Complexes of Rare Earth Elements

D. I. Ryabchikov and E. K. Korchemnaya
1961 SovietRxiv: ru-196101.04942

This paper examines the products formed when rare-earth element salts react with alkali-metal citrates at a 1:1 metal to citrate ratio, a case previously treated as simple citrate precipitation. Using precipitation tests, pH variation, analytical composition measurements, and tracer experiments with…

ON AN INFINITE-DIMENSIONAL ANALOGUE OF THE LINEAR PROGRAMMING PROBLEM AND ITS APPLICATIONS TO SOME QUESTIONS IN APPROXIMATION THEORY

Unknown
1961 SovietRxiv: ru-196101.04923

The paper formulates an infinite-dimensional analogue of the linear programming problem in spaces of continuous functions and functions of bounded variation, with inequality and equality constraints expressed by Radon-Stieltjes integrals. It establishes an optimality criterion in terms of nonnegativ…

On the Realization of Boolean Algebra Functions by Formulas of Bounded Depth in the Basis $\&$ , $\vee$ , $^-$

O. B. LUPANOV
1961 SovietRxiv: ru-196101.04796

This note studies the asymptotic complexity of realizing Boolean functions by formulas of bounded depth over conjunction, disjunction, and negation, using the number of variable occurrences as the complexity measure. It defines nested classes generalizing disjunctive and conjunctive normal forms and…

Determination of Wave Flow Parameters from the Parameters of the Periodic Bottom Structures Formed by It

B. A. SHULYAK
1961 SovietRxiv: ru-196101.04708

This paper addresses the reconstruction of wave-flow conditions from preserved ripple structures in sandy sediments, a problem important for interpreting depositional environments. It develops a method that combines previously derived relations for ripple spacing and height with additional constrain…

NUCLEAR RIESZ SCALES

Unknown
1961 SovietRxiv: ru-196101.04702

This note studies centers and cocenters, defined as projective and inductive limits of nuclear Riesz scales of Banach spaces, and relates them to Hilbert scales and Köthe sequence spaces. It proves that centers of nuclear Riesz scales admit Hilbert scale representations, have bases, and are isomorph…

Investigation of the thermodynamic properties of cerium–lead, praseodymium–lead, and neodymium–lead alloys

P. P. Otopkov, Ya. I. Gerasimov, A. M. Evseev
1961 SovietRxiv: ru-196101.04631

This study examines the thermodynamic properties of cerium-lead, praseodymium-lead, and neodymium-lead alloys, systems for which phase diagrams and alloy thermodynamics were incompletely known. Lead activities were determined from saturated vapor pressure measurements over 700 to 900 °C for alloys i…

Abstract automata and partitioning of free semigroups

Unknown
1961 SovietRxiv: ru-196101.04588

This paper relates connected abstract automata to special partitions of free semigroups with identity. It defines automaton partitions and semigroup partitions, then proves that every automaton partition determines a corresponding connected automaton and that every connected automaton can be recover…

On Polynomials Orthogonal with Weight Functions Vanishing or Becoming Infinite at Individual Points of the Interval of Orthogonality

V. P. KONOPLEV
1961 SovietRxiv: ru-196101.04407

This paper studies asymptotic properties of polynomials orthogonal on a finite interval with weight functions that may vanish or become infinite at specified points, a setting not covered by standard analytic methods. It establishes a differential recurrence equation for such orthogonal polynomials …

Fragment anisotropy $I_{0^\circ}/I_{90^\circ}$ in the fission of $\mathrm{U}^{233}$ by neutrons with energies of 100–1000 keV

Unknown
1961 SovietRxiv: ru-196101.04330

This study measures the angular anisotropy of fission fragments from uranium 233 induced by neutrons with energies from about 100 to 1000 keV, a range in which fission is expected to involve only low angular momentum states. Using neutrons from tritium and lithium proton reactions and a two layer io…

On the boundedness of solutions of some nonlinear third-order differential equations

In the paper [1] Ezeilo considered the equation
1961 SovietRxiv: ru-196101.04307

This note studies ultimate boundedness for several classes of nonlinear third order differential equations with bounded nonautonomous perturbations. It extends a previous boundedness result by formulating three theorems under growth and sign conditions on the nonlinear terms, using changes of variab…

Acidic Properties of the Cis and Trans Isomers of $(\mathrm{Pt}(\mathrm{glh})_2(\mathrm{NH}_3)_2)\mathrm{Cl}_2$

Unknown
1961 SovietRxiv: ru-196101.04259

This study quantitatively compares the acidic properties of the cis and trans isomers of the platinum glycine complex (Pt(glh)2(NH3)2)Cl2. The isomers were prepared, analyzed, and subjected to potentiometric titration with alkali at controlled ionic strength, with successive dissociation constants c…

Geodesic flows on compact surfaces of negative curvature

Unknown
1961 SovietRxiv: ru-196101.04253

This paper studies the geodesic flow on the space of line elements of a compact two-dimensional Riemannian surface of negative curvature, extending Hopf’s ergodicity result to questions of spectrum and mixing. Using horocycles on variable negative curvature surfaces, estimates for their contraction …

Effect of Fluorescence Quenchers on the Fluorescence Spectra of Solutions of Some Anthracene and Phthalimide Derivatives in Solvent Mixtures

Unknown
1961 SovietRxiv: ru-196101.04222

The study examines how fluorescence quenchers affect solvent-dependent fluorescence spectra of 2-acetylanthracene and selected phthalimide derivatives in hydrocarbon solutions containing small amounts of active solvents such as alcohols or pyridine. Using spectral measurements with quenchers includi…

Proton magnetic resonance in selenourea

Unknown
1961 SovietRxiv: ru-196101.03902

Proton magnetic resonance was used to study a polycrystalline sample of selenourea over the temperature range from 77 K to room temperature, with emphasis on the temperature dependence of the second moment of the proton resonance absorption line. The low temperature second moment was used to estimat…

ON THE STABILITY OF A STRIP UNDER COMPRESSION

Unknown
1961 SovietRxiv: ru-196101.03859

The paper examines the in plane stability of a rectangular elastic strip compressed by uniform pressure on two opposite sides, addressing earlier treatments in which higher order effects were retained in boundary conditions but neglected in equilibrium equations. Using Novozhilov’s equilibrium equat…

On the Different Filtration Rates of Anions and Cations When Solutions Percolate Through Fine-Porous Filters

Unknown
1961 SovietRxiv: ru-196101.03776

This study experimentally examines the acid, base filtration effect proposed to explain hydrothermal differentiation, focusing on whether anions and cations move at different rates through fine-pored media. More than 100 filtration experiments were conducted with 0.1 to 0.001 N copper and iron chlor…

On Improving the Quality of Extremum Control of Inertial Objects in the Presence of Disturbances

V. V. KAZAKEVICH and A. P. YURKEVICH
1961 SovietRxiv: ru-196101.03750

This paper examines extremal control of inertial objects under low-frequency and strong external disturbances, focusing on cases where ordinary extremal regulators require reduced search speeds and therefore lose disturbance immunity. For a first-order object, the authors analyze transient processes…

Determination of the recombination coefficient for oxygen atoms on the surface of quartz covered with potassium tetraborate

N. I. GORBAN’, V. V. AZATYAN, and A. B. NALBANDYAN
1961 SovietRxiv: ru-196101.03662

This paper determines the heterogeneous recombination coefficient of oxygen atoms on a quartz surface coated with potassium tetraborate, a parameter important for chain oxidation and combustion reactions. The authors use first ignition limits of carbon monoxide and oxygen mixtures with small hydroge…

Adsorption of Aromatic and Hydroaromatic Compounds at the Mercury–Solution Interface

A. N. FRUMKIN, R. I. KAGANOVICH, and E. S. BIT-POPOVA
1961 SovietRxiv: ru-196101.03576

This paper examines adsorption of polar aromatic compounds and their hydroaromatic analogs at the mercury, solution interface, with comparison to adsorption at the solution, air interface. Electrocapillary curves measured with a Gouy electrometer, together with surface tension measurements, are used…

OXIDATION–REDUCTION POTENTIAL OF THE SYSTEM \( \mathrm{U}^{3+}/\mathrm{U}^{4+} \) IN MOLTEN \( \mathrm{NaCl}—\mathrm{KCl} \)

Unknown
1961 SovietRxiv: ru-196101.03503

The study determines the standard oxidation-reduction potential of the U3+/U4+ system in an equimolar molten NaCl-KCl mixture at 690 to 810°C, addressing discrepancies in earlier measurements made in other chloride melts with different reference electrodes. Potentiometric titration of UCl4 with meta…

Reduction of copper ferrite $\mathrm{CuFeO}_2$ by graphite

V. N. Bogoslovskii, N. M. Stafeeva
1961 SovietRxiv: ru-196101.03440

The study examines the kinetics and phase transformations involved in reducing rhombohedral monovalent copper ferrite, CuFeO2, with graphite under vacuum at 900 to 1050 degrees Celsius. Single-phase ferrite prepared from cuprous oxide and ferric oxide was reduced while reaction progress was measured…

Molecular Symmetry, Crystal Melting, and Liquid Order

Ya. B. ZELDOVICH
1961 SovietRxiv: ru-196101.03350

This paper examines how molecular symmetry can influence the melting temperature of molecular crystals, using isomeric organic compounds as illustrative cases. It argues that, under simplifying assumptions, molecular symmetry lowers the rotational entropy of the liquid by a term involving the molecu…

Titanium and Tin Tetrachlorides as Radical Acceptors in the Radiolysis of Hydrocarbons

V. F. EVDOKIMOV, I. Ya. PODDUBNYI, and I. A. KUZIN
1961 SovietRxiv: ru-196101.03254

This study examines titanium tetrachloride and tin tetrachloride as radical acceptors in the gamma radiolysis of hydrocarbon and organosilicon media. Solutions of these tetrachlorides in n-octane, benzene, and octamethylcyclotetrasiloxane were irradiated with cobalt-60, and reduction products were a…

Infrared Spectra of Unsymmetrical Diacyl Peroxides

Academician of the Academy of Sciences of the BSSR A. N. Sevchenko and I. P. Zyatkov
1961 SovietRxiv: ru-196101.03153

This study examines the infrared spectra of unsymmetrical diacyl peroxides in order to clarify spectral features associated with peroxide formation, since prior assignments of O-O vibrations were inconsistent. Spectra were recorded for acetyl-p-chlorobenzoyl, acetyl-m-chlorobenzoyl, acetyl-o-chlorob…