SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25456 full-text translations 14926 English PDFs 22540 abstracts
Showing 50 of 25456 papers
This paper investigates the saturated vapor pressure of liquid antimony and the molecular association state of its vapor, addressing uncertainty in earlier interpretations that assumed a constant Sb4 composition from linear vapor pressure plots. The authors apply a radiometric vapor density method u…
This paper describes a method for synthesizing ethylmercury salts, compounds of practical interest as fungicides, by decarboxylation of mercury propionate rather than by established routes involving diethylmercury or organomagnesium reagents. The authors examine peroxide-induced and photochemical de…
This study examines the relative strength of C,O bonds in ethers and esters using isotopic exchange with carbon 14 and oxygen 18 as probes. Preliminary ampoule experiments showed little or no exchange for several simple aryl ethers under severe heating, while selected carboxylic acid and ester syste…
This note constructs an example of a web, equivalently a monotone continuous function of two variables, that cannot be approximated by rectifiable webs or by nomographable functions. It defines a metric deviation for webs, relates uniform convergence of functions to convergence of their correspondin…
This paper studies primitive integer points on the one-sheeted hyperboloid defined by b squared minus ac equals D, where D is an odd nonsquare positive integer, within a classical reduction domain. It proves an asymptotic distribution formula for points in suitable subdomains, expressed in terms of …
The study examines how oxygen adsorption affects the electron work function of n-type and p-type germanium, using the Kelvin vibrating-capacitor method with a glass-covered reference electrode to reduce adsorption on the reference surface. Measurements over oxygen pressures from 10^-3 to 100 mm Hg s…
This paper investigates the preparation of new linear polymers by the polyrecombination reaction of diphenylmethane and related compounds with tert-butyl peroxide at elevated temperature. The authors show that diphenylmethane gives a soluble high-molecular-weight polymer, assigned by infrared spectr…
This note studies the problem of describing homomorphisms of commutative semigroups. It introduces decreasing ideal series and quasinilpotent semigroups, then proves that for a broad class of commutative semigroups with a principal decreasing ideal series, the structure can be decomposed into factor…
This communication investigates the free-radical addition of normal monobasic carboxylic acids and their methyl esters to alpha-olefins as a route to dialkylsuccinic and related substituted acetic acids and esters. Reactions of propionic, butyric, enanthic, capric, and isobutyric acid derivatives wi…
This note studies mixed boundary value problems for uniformly parabolic second order equations whose coefficients may have jump discontinuities across finitely many cylindrical interfaces. Using maximum principle arguments and auxiliary barrier functions following methods of Oleinik, the authors der…
This paper develops an averaging approach for nonlinear oscillatory systems governed by Lagrange equations under weak external forces. It first transforms the perturbed Lagrange equations by treating the constants of the unperturbed motion as time-dependent variables, deriving exact evolution equati…
This paper formulates and analyzes equations for relaxation hydrodynamics in media where local thermodynamic equilibrium is established on a time scale comparable with hydrodynamic variation, as in high-frequency sound or supersonic flows. Introducing a nonequilibrium parameter and a phenomenologica…
The paper studies the Riemann problem, or decay of an arbitrary discontinuity, for a hyperbolic system of two first order quasilinear conservation laws. It defines a class of systems satisfying structural hyperbolicity and noncontact conditions, formulates stability conditions for admissible discont…
This study examines the thermodynamics of propylene absorption by aqueous sulfuric acid, a process in which both isopropylsulfuric acid and isopropyl alcohol are formed and the properties of the acid solution change substantially. Equilibrium experiments were carried out for 62.25 to 74.03 percent s…
The paper investigates the anodic processes occurring during electrolysis of sodium acetate on a rotating platinum disk electrode, with particular attention to the transition from oxygen evolution to Kolbe electrosynthesis. Polarization curves and polarograms were measured over varying acetate conce…
This paper studies uniqueness for the abstract Cauchy problem in a Banach space for a linear operator, distinguishing weak and strong solutions. It proves that if the spectrum is absent on a ray in the positive half-plane and the resolvent grows there with finite exponential degree, then the problem…
This paper investigates the unexpected optical anisotropy observed in the weak 6125 Å absorption line at the long-wavelength edge of the yellow exciton series in cubic cuprous oxide. Using oriented single-crystal plates cut relative to fourth, third, and second order crystallographic symmetry axes, …
This paper presents an experimental method for studying changes in the transverse dimensions of an electron bunch during acceleration in a 280 MeV synchrotron. Visible synchrotron radiation from the bunch was photographed with a high-speed motion-picture camera, photometrically processed, and used t…
This study examines how optical irradiation affects the phase boundary and anodic dissolution of n-type germanium electrodes in 0.1 N sodium hydroxide. Using monochromatic light and an arrangement permitting illumination from either the electrolyte side or the dry side, the authors measured photoele…
The paper introduces pseudonormal correlation as a mixture of two normal bivariate densities with opposite correlation coefficients, yielding normal marginal distributions but zero ordinary correlation, zero correlation ratio, and vanishing odd conditional moments. It then develops a broader family …
This paper examines local geometric conditions for equations of the form w = f(u,v) to be representable by a nomogram of aligned points. Starting from the determinant criterion for nomographability, it introduces associated functions that, after normalization, define coordinates of a point on the un…
This paper develops a thermo-hydrodynamic model of the bora as the steady overflow of a cold air layer across an idealized long mountain ridge beneath warmer motionless air. Using simplified atmospheric thermohydrodynamic equations, the authors reduce the nonlinear free-boundary problem to an equati…
This study examines the composition and kinetics of normal butane and isobutane cracking initiated by small additions of ethylene oxide at 450°C, where the hydrocarbons alone undergo little decomposition. Using a static high-vacuum apparatus with pressure measurements, chromatographic product separa…
This paper reformulates a previously derived relativistic collision integral for elastic collisions between two particle species in a form analogous to the classical Boltzmann collision integral. Using invariant momentum variables, Lorentz transformations to the center-of-inertia frame, and the asso…
Photoluminescence near the fundamental absorption edge is investigated in hexagonal CdSe, CdS, and seven compositions of mixed CdSe, CdS crystals at 4.2 and 77.3 K. The study compares line-like and banded edge emission in single crystals and large-crystalline layers, recording changes in fine struct…
This paper examines the kinetics of alkaline hydrolysis for several platinum(IV) complex compounds in the Werner-Miolati series, including chloro, ammine, pyridine, and ethylenediamine complexes. Using alkali consumption monitored by titration, the authors compare reaction orders with respect to alk…
This paper studies the error of multidimensional equal-weight quadrature formulas on the unit cube for function classes \(S_p\). Using Haar expansions and Hölder’s inequality, it derives an exact expression for the norm of the quadrature error in terms of a quantity \(\varphi_q\) determined by the d…
Hydrogen adsorption was measured for low metal content Pt/Al2O3 and Pd/Al2O3 catalysts in the liquid phase, with platinum and palladium contents ranging from very dilute coverages to several weight percent. The study used chemical dehydrogenation with benzoquinone after hydrogen saturation, followed…
This study examines how small additives affect oxygen isotopic exchange and surface oxygen mobility on oxidation catalysts, focusing on metallic silver and semiconducting copper oxide. Oxygen exchange with enriched oxygen was measured in a static low-pressure system by mass spectrometry, comparing m…
This paper studies when Banach spaces of bounded linear operators are themselves conjugate spaces. It first proves that a direct product, with the supremum norm, of conjugate Banach spaces is conjugate, then applies this result to show that the space of linear operators from a Banach space into a co…
This note studies the differential equation dx/dt = f(t,x) in a real Hilbert space, focusing on conditions for the existence, uniqueness, and qualitative behavior of bounded solutions. It first treats a linear equation with a bounded self-adjoint invertible operator, then extends the results to nonl…
This paper examines the synthesis, secondary structure, and properties of isotactic polyacrylic acid and its barium, sodium, and tetramethylammonium salts as stereoregular synthetic polyelectrolytes. Isotactic polyacrylic acid was prepared by complete alkaline hydrolysis of isotactic polyisopropyl a…
This note gives explicit formulas for decomposing the tensor product of two supplementary series representations of the proper Lorentz group, complementing an earlier result on the irreducible components. The argument constructs an isometric realization of the tensor product space, applies the Planc…
This paper studies a fractional differentiation operator defined for Sobolev functions on a convex domain and compares it with fractional powers of elliptic partial differential operators. It establishes norm estimates for the operator in continuous and Lebesgue spaces under different Sobolev embedd…
This note studies orthogonal polynomials whose weight is supported on several disjoint intervals and vanishes on the intervening gaps, a case not covered directly by standard asymptotic treatments requiring nonvanishing weights except on small sets. Using rational functions on the associated two-she…
This study investigates the preparation and properties of scandium diboride, a previously little studied boride of the first transition metal series. Scandium diboride was synthesized from scandium oxide and boron in vacuum, with near complete reaction at 1800 to 1850 degrees Celsius, and hot presse…
This paper examines whether the adsorption isotherm equation derived from the potential theory of adsorption, previously applied to activated carbons of the first structural type and small-pore silica gels, can quantitatively describe vapor adsorption on zeolite molecular sieves. The authors compare…
This paper studies lower bounds for the uniform distance between distributions of sums of independent identically distributed random variables and the class of infinitely divisible laws. Focusing on Bernoulli-type distributions with parameter \(p=n^{-2/3}\), it proves that the maximal distance for t…
This study examines how temperature and hydrogen pressure affect the hydrogenation and hydrogenolysis of furan compounds over a skeletal Cu-Al catalyst. Experiments with silvan, alkylfurylcarbinols, alkylfuryl ketones, furfurylidene ketones, and alpha-alkyl-beta-furylacroleins show that elevated pre…
This paper investigates the direct electron-optical observation of local contact-potential inhomogeneities, or spot fields, on emitting surfaces, whose existence had been inferred from emission phenomena but not directly visualized. Using an electron mirror, the authors examined activated secondary-…
This paper addresses Grothendieck’s question of whether every metrizable nuclear space can be isomorphically embedded in the space of infinitely differentiable functions on the real line. It proves a partial affirmative result: every complete metrizable nuclear space with a basis embeds in this func…
This paper examines whether transformation operators of Delsarte type, known for second order linear differential equations and generalized by L. A. Sakhnovich to higher order equations under analyticity assumptions, can exist for higher order differential equations with less restrictive coefficient…
This study investigates intramolecular and intermolecular energy transfer during the radiolysis of frozen substituted hydrocarbons using electron paramagnetic resonance to observe primary radical formation. Compounds containing cyclohexyl and phenyl groups, as well as a mixture of cyclohexyl and phe…
This study examines how geometrical isomerism affects the participation of 1-chloro- and 1-bromobutadiene-1,3 in diene synthesis with maleic anhydride. The authors show experimentally that the products obtained by dehydrohalogenation are predominantly cis-isomer mixtures, with smaller trans fraction…
This paper studies the spectrum of a non-self-adjoint second-order differential equation with continuous complex periodic coefficients, defining spectral points by the existence of a solution bounded on the whole real axis. Using the characteristic multiplier equation and the associated family of qu…
This study examines the gel-forming ability of aluminum oleates in benzene, focusing on how soap composition, alkali excess during precipitation, concentration, and aging affect viscosity and stability. Aluminum oleates were prepared by double exchange decomposition and used to form benzene gels who…
The paper studies central limit theorems for sums of the form \(\sum_{t=0}^{p-1} g(T^t x)\), where \(T\) is an ergodic endomorphism of a compact commutative group and \(g\) is a real \(L^2\) function. Using Fourier expansions in group characters, mixing properties of such endomorphisms, and semi-inv…
This paper develops a theoretical measure of spatial extent for particles in stationary quantum-mechanical systems using localization entropy derived from the one-particle probability density. The authors argue that, because ordinary volume is not directly applicable to quantum systems, an entropy-b…
The paper studies a class of polynomials that are regularly monotone of a prescribed order on the interval [0,1], classified by alternating sign relations among successive derivatives and by specified type numbers. It constructs special normalized polynomials satisfying endpoint vanishing conditions…
