Showing 50 of 25357 papers

Effect of cooling rate during crystallization on segregation microinhomogeneity and the composition of solid solutions in $\mathrm{Al}$ – $\mathrm{Mg}$ alloys

Unknown
1965 SovietRxiv: ru-196501.44176

This study examines how very high cooling rates during crystallization affect segregational microinhomogeneity and solid solution composition in aluminum magnesium alloys across a wide range of magnesium contents. Alloys were solidified using chill casting and rapid film formation on a rotating bras…

Thermodynamic Analysis of the $\mathrm{MgAl}_2\mathrm{O}_4$ – $\mathrm{Fe}_3\mathrm{O}_4$ Solid Solution

Yu. A. KORNEEV, V. F. BALAKIREV,
1965 SovietRxiv: ru-196501.44074

A thermodynamic analysis is presented for the MgAl2O4, Fe3O4 spinel solid solution formed during equilibrium reduction of magnesium ferroaluminate by hydrogen and coexisting with a variable composition MgO, FeO wüstite phase. Using a statistical activity model for binary spinel solutions together wi…

EXPERIMENTAL STUDY OF THE EXTERNAL PHOTOELECTRIC EFFECT FROM THE SURFACE OF DILUTE POTASSIUM AMALGAMS IN THE LIQUID AND SOLID STATE

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1965 SovietRxiv: ru-196501.43990

This study examines whether potassium, known to enrich the surface layer of liquid mercury amalgams, shows analogous surface adsorption in the solid state, and how photoelectric behavior relates to surface tension. The authors measured external photoemission currents from dilute potassium amalgams u…

Study of the interaction of diphenylmercury with alcohols by isotopic and mass spectrometric methods

S. F. Zhil’tsov, G. G. Petukhov
1965 SovietRxiv: ru-196501.43857

The study examines the mechanism of diphenylmercury interaction with isopropyl and tert-butyl alcohols using deuterium labeling and low-voltage mass spectrometric analysis of benzene, diphenyl, and alcohol isotopic compositions. Photochemical reactions show that phenyl radicals abstract hydrogen mai…

Multidimensional Knots

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1965 SovietRxiv: ru-196501.43813

This note studies locally flat embeddings of the sphere of codimension two in Euclidean space and defines an equivalence relation for such multidimensional knots using stable homeomorphisms. It introduces connected sum for the resulting classes and states that, for dimensions at least four, these cl…

ON THE STRUCTURAL ORDERABILITY OF ALGEBRAS AND RINGS

Unknown
1965 SovietRxiv: ru-196501.43475

This note studies when commutative real algebras and torsion-free rings can be endowed with a structural order making them \(f\)-algebras or \(f\)-rings, and when that order is unique. Using annihilators as components, projections, fragments, and \(p\)-closed cones generated by sums of squares, it c…

On the One-Dimensional Instability of Detonation

Unknown
1965 SovietRxiv: ru-196501.43334

This paper reexamines the one-dimensional instability of Chapman-Jouguet detonation in the Zel’dovich-Neumann framework, focusing on how perturbations of the ignition-delay period affect flame propagation behind the leading shock. Using a linearized gas-dynamic treatment, it relates changes in flame…

Transformations of methylcyclooctane in the presence of platinum catalysts

E. S. BALENKOVA, N. A. KHAFIZOVA, S. I. KHROMOV,
1965 SovietRxiv: ru-196501.43318

This study examines the catalytic transformations of methylcyclooctane over platinum catalysts, with particular attention to whether transannular dehydrocyclization is governed by a tertiary ring hydrogen or by molecular conformation. Methylcyclooctane was passed over platinized carbon and an iron-p…

Crystal structure of inderborite $\mathrm{CaMgB}_6\mathrm{O}_{11}\cdot11\mathrm{H}_2\mathrm{O}=\mathrm{CaMg}[\mathrm{B}_3\mathrm{O}_3(\mathrm{OH})_5]_2\cdot6\mathrm{H}_2\mathrm{O}$

E. N. KURKUTOVA, I. M. RUMANOVA, Academician N. V. BELOV
1965 SovietRxiv: ru-196501.42796

The paper determines the crystal structure of the hydrous borate inderborite, CaMgB6O11·11H2O, using X-ray diffraction, Patterson methods, and Fourier syntheses. The authors establish the monoclinic space group C2/c, locate Ca and Mg positions, derive coordinates for the light atoms, and describe th…

ON REPRESENTING SMALL CATEGORIES

Unknown
1965 SovietRxiv: ru-196501.42613

This paper studies representation of small categories as full subcategories of categories built from binary relations, directed graphs, ordered relations, and certain topological spaces. It introduces admissible and strongly admissible mappings for relations, develops several constructions that pres…

Pole Tide in the Baltic Sea

Unknown
1965 SovietRxiv: ru-196501.42259

This paper examines whether free oscillations of the Earth’s rotation axis produce a measurable polar tide in the Baltic Sea, a question left unresolved by earlier studies and disputed in prior interpretations. Sea-level records from 13 Baltic ports for 1900 to 1930 were reduced to tenth-year values…

Synthesis of 2,4-Disubstituted Furans

Ya. L. Goldfarb, L. D. Tarasova
1965 SovietRxiv: ru-196501.42253

This paper addresses the preparation of 2,4-disubstituted furans, focusing on a practical route to 4-bromo-2-acetylfuran from 4,5-dibromo-2-acetylfuran. After evaluating several dehalogenation methods, the authors show that controlled reduction with zinc in aqueous acetic acid selectively removes th…

Frequency-Domain Conditions for Dissipativity and the Existence of Periodic Solutions of Impulsive Systems with a Single Nonlinear Block

Unknown
1965 SovietRxiv: ru-196501.42235

This paper studies forced discrete impulse systems with one nonlinear block, formulated as vector difference equations with a scalar feedback nonlinearity. It derives frequency-domain conditions, expressed through the amplitude-phase characteristic of the linear part, that ensure dissipativity, exis…

On the uniqueness of determining the shape of a body from the values of the external potential

A. I. PRILEPKO
1965 SovietRxiv: ru-196501.42025

The paper studies an inverse problem of potential theory: whether the shape and position of a bounded connected body can be uniquely determined from equality of its external Newtonian or metaharmonic potential with that of another body. It formulates uniqueness theorems for domains in Euclidean spac…

On the book by Yu. A. Mitropolsky "Problems of the Asymptotic Theory of Non-stationary Oscillations"

O. S. Parasyuk, N. P. Erugin
1965 SovietRxiv: ru-196501.41907

This review presents Yu. A. Mitropolsky’s monograph on asymptotic methods for non-stationary nonlinear oscillations governed by differential equations with slowly varying coefficients. It outlines the book’s development of Krylov-Bogolyubov type techniques for systems with one and many degrees of fr…

VO KHONG-AN', B. A. TVERSKOI

Unknown
1965 SovietRxiv: ru-196501.41807

The paper examines how rapid rotation affects the instability and transition to turbulence of plane shear flows, using a tangential discontinuity in an incompressible rotating fluid as a model. Linearized equations in a rotating frame are used to compare two-dimensional disturbances, for which Corio…

APPROXIMATION THEOREMS FOR DIFFERENTIAL EQUATIONS

È. M. Saak
1965 SovietRxiv: ru-196501.41728

The paper studies uniform approximation of solutions to polyanalytic and related elliptic equations of the form involving iterated complex derivatives, including the polyharmonic equation as a special case. Using a representation of sufficiently smooth solutions by analytic functions and a key lemma…

Zeolite Catalysts with Group 1 Metal Cations

P. N. GALICH, I. T. GOLUBCHENKO,
1965 SovietRxiv: ru-196501.41710

This study examines the catalytic behavior of X-type zeolites containing first-group metal cations in cumene cracking and n-butanol-1 dehydration. Lithium, potassium, and rubidium forms were prepared from NaX by ion exchange, characterized by X-ray analysis, and tested in a flow reactor against indu…

ON AN ANALOGUE OF A PROBLEM OF E. I. ZOLOTAREV

Unknown
1965 SovietRxiv: ru-196501.41706

The paper studies a trigonometric analogue of Zolotarev’s extremal problem: among trigonometric polynomials of degree n with prescribed leading coefficients, it seeks those with minimal uniform deviation from zero on the full period. Using Chebyshev alternance and a criterion of Videnskii, it charac…

ON A CLASS OF PROBLEMS OF MATHEMATICAL PHYSICS WITH A MIXED SPECTRUM OF EIGENVALUES

I. T. Lozanovskaya, Ya. S. Uflyand
1965 SovietRxiv: ru-196501.41681

The paper studies mixed initial-boundary value problems on a semi-infinite interval in which the solution satisfies a hyperbolic equation on a finite subinterval and a parabolic equation on the remaining half-line, with possible finite jumps of the function and derivative at the interface. Using the…

REACTION OF HEXAMETHYLDISILAZANE WITH PHENYL ISOCYANATE AND PHENYL THIOISOCYANATE

D. Ya. Zhinkin, M. M. Morgunova, K. A. Andrianov
1965 SovietRxiv: ru-196501.41611

This study examines the reactions of hexamethyldisilazane with phenyl isocyanate and phenyl thioisocyanate, with particular attention to the effect of elevated temperature on products formed from silicon, nitrogen bond cleavage and silyl group migration. Experiments at 120 degrees showed that equimo…

On the Hydrodynamics of Cloud Systems

Unknown
1965 SovietRxiv: ru-196501.41578

This paper formulates a hydrodynamic description of stationary cloud systems in which motion inside the cloud is treated as pseudoadiabatic and motion outside as adiabatic, with the cloud boundary determined as part of the solution. Using axisymmetric steady equations, a stream function is introduce…

New Examples of Four-Dimensional Manifolds

Unknown
1965 SovietRxiv: ru-196501.41495

The paper addresses the realizability of unimodular integral quadratic forms as intersection forms of simply connected closed smooth four-dimensional manifolds. Building on the classification of homotopy types by intersection forms, it constructs explicit four-manifolds using membranes, surgeries on…

On a Problem of Stochastic Linear Programming and Its Stability

N. I. ARBUZOVA, V. L. DANILOV
1965 SovietRxiv: ru-196501.41293

The paper studies a stochastic linear programming problem in which the right-hand sides of linear constraints are independent random variables with known means and variances. It compares the random feasible region with regions defined by shifted lower and upper constraints, uses Chebyshev bounds to …

A METHOD FOR ANALYZING FINITE AUTOMATA

Unknown
1965 SovietRxiv: ru-196501.41253

The article presents a method for analyzing finite automata by treating their transition matrices as multi-terminal networks over an algebra of events, with operations of union, product, and iteration. It proves that eliminating a terminal preserves the complete conductances between all remaining te…

Oxygen Isotope Exchange on Silver Films

Corresponding Member of the Academy of Sciences of the USSR G. K. BORESKOV, A. V. KHASIN,
1965 SovietRxiv: ru-196501.41228

This study examines the state and mobility of oxygen associated with silver films, a problem relevant to mechanisms of selective oxidation catalysis on silver. Using static vacuum experiments and mass spectrometric analysis, the authors measured isotopic exchange between oxygen adsorbed on evaporate…

On the Invariance of Searchless Self-Tuning Systems with a Model

Academician B. N. PETROV, V. Yu. RUTKOVSKII
1965 SovietRxiv: ru-196501.41058

This paper examines invariance in model-based non-search self-adjusting control systems whose plant parameters may vary at rates comparable to system transients and then become constant. Using a differential-equation representation of the plant, controller, adaptation laws, and reference model, the …

Replacement of a Halogen by a Proton in Haloferrocenes

M. N. NEFEDOVA, V. N. SETKINA, E. G. PEREVALOVA
1965 SovietRxiv: ru-196501.40936

This paper reports an unexpected protodehalogenation reaction observed during studies of hydrogen isotope exchange in haloferrocenes in acidic media. Experiments with deuteriotrifluoroacetic acid show that iodoferrocene rapidly forms the ferricinium cation and an iodoferrocene iodine complex, and re…

Growing Solutions of the Schrödinger Equation

L. D. Faddeev
1965 SovietRxiv: ru-196501.40783

This paper introduces a multidimensional analogue of the one-dimensional Green functions used in scattering and inverse scattering theory for the Schrödinger equation with a decreasing potential. It defines Green kernels associated with a non-self-adjoint Laplacian in exponentially weighted spaces a…

Generalized Scheme of Hydrolysis of the Borohydride Ion and Diborane

Unknown
1965 SovietRxiv: ru-196501.40689

The paper addresses the mechanism of hydrolysis of the borohydride ion and its relation to diborane hydrolysis, arguing that the usual gross equation obscures the role of hydrogen ions and intermediate hydroxyborohydride species. On the basis of prior evidence and new kinetic measurements in borate …

Continuous solar optical quantum generator on $\mathrm{Dy}^{2+}$ in $\mathrm{CaF}_2$

A. A. KAMINSKII, L. S. KORNIENKO,
1965 SovietRxiv: ru-196501.40566

This communication describes a continuous solar-pumped optical quantum generator using Dy2+ ions in CaF2 operated at liquid nitrogen temperature, extending earlier solar excitation experiments performed at liquid neon temperature. The authors prepared CaF2 crystals doped with dysprosium, converted D…

AGGREGATION OF STATES IN A MARKOV CHAIN

Unknown
1965 SovietRxiv: ru-196501.40547

This paper studies how aggregating states in a finite reversible stationary Markov chain changes the spectrum of the associated stochastic matrix and when such aggregation preserves the Markov property. Using the spectral decomposition of a symmetric correlation table, it characterizes “stationary” …

Determination of Boundary Elements by Means of Sections

V. Zorich
1965 SovietRxiv: ru-196501.40493

This note studies boundary elements associated with quasiconformal mappings of domains in n-dimensional Euclidean space, continuing an earlier definition in terms of equivalence classes of regular sequences of subdomains. It proves that, for domains quasiconformally equivalent to a ball, every bound…

ON THE STRUCTURE OF POLY-DIMETHACRYLAMIDES

G. D. Rudkovskaya, T. A. Sokolova, M. M. Koton
1965 SovietRxiv: ru-196501.40425

This paper examines the ring structure of cyclic polymers formed from dimethacrylamides and compares them with polymers obtained by partial thermal deamination of corresponding polymethacrylamides. Using infrared spectroscopy, especially the positions and separations of carbonyl absorption bands, th…

Boundary Estimates for the Solution of the Oblique Derivative Problem for a Parabolic Equation in a Noncylindrical Domain

Unknown
1965 SovietRxiv: ru-196501.40335

The paper studies the oblique derivative boundary value problem for a second order uniformly parabolic equation in a possibly noncylindrical domain with Hölder continuous data and coefficients. Its method derives boundary Schauder estimates by first treating the heat equation in a half strip with a …