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 studies local solutions near a singular point for systems of two Briot and Bouquet differential equations with holomorphic nonlinear terms vanishing to first order in the dependent variables. Extending earlier results of Picard and subsequent work on exceptional cases, it classifies the s…
This paper proposes a simplified calculation of the temperature dependence of the vibrational heat capacity of monatomic solids using a frequency distribution closer to a Gaussian form than the Debye parabolic spectrum. The author approximates the distribution by an exponential law with a power fact…
This study examines how the chemical nature of hydrocarbon solvents affects the oxidation of sodium-butadiene rubber in dilute solution. Using oxygen uptake and peroxide accumulation measurements at elevated temperatures, the authors compare aromatic, naphthenic, and naphtheno-aromatic solvents and …
This paper develops a theory of diffusion oscillations in gas-discharge plasma using coupled diffusion equations for electrons and ions, Poisson’s equation, and an electron energy equation. By linearizing the equations for one-dimensional perturbations, it derives general and limiting dispersion rel…
This paper applies multiplet catalysis theory to enzyme action and antimetabolism, arguing that enzymatic specificity can be interpreted through reacting “index” groups and the structural effects of non-index substituents. It classifies enzyme types by their reaction indices, relates substituent eff…
This note studies the possible values of the exponent of an elliptic curve over the rational numbers, defined as the least positive degree of a divisor on the curve. Using Weil’s group of principal homogeneous spaces with a fixed Jacobian and its cohomological description, the paper analyzes relevan…
This paper studies the transient response of an infinite elastic plate resting on an elastic liquid half-space under a point impulse, initially represented as a spatially and temporally distributed load and then obtained by a limiting process. The plate vibration equation is coupled to a wave equati…
A method is presented for solving a broad class of plane elasticity problems in doubly connected regions bounded by circles, including finite, infinite, and semi-infinite plates with circular holes loaded along their contours. Using complex stress functions and functional equations, the approach int…
This paper studies operations and predicates on algebras that are definable by formulas of the restricted predicate calculus, extending the usual notion of derived operations as terms. For universally axiomatized classes of algebras, it proves that any formula defining a total single-valued operatio…
This paper examines sulfonation reactions of aromatic compounds with chlorosulfonic acid and oleum, focusing on the formation of sulfonyl chlorides, sulfones, and sulfonic acid anhydrides. On the basis of experimental product distributions for benzene and halogenated benzenes under varied temperatur…
This paper studies upper bounds for the curvature of level lines, the images of circles under univalent conformal mappings in exterior domains. Using known estimates of Goluzin, Löwner, Privalov, and Bazilevich, it derives sharp curvature inequalities for the class of normalized functions with a sim…
This paper studies algorithmic recognition problems for invariant properties of finitely presented groups. Extending earlier results and using Novikov’s finitely presented group with unsolvable word problem, it proves that if an invariant property is possessed by some finitely presented group but ex…
This study examines whether the melting point of urea is an upper limit for the existence of crystalline urea complexes with organic substances. Urea complexes with paraffin and several ceresins were prepared in sealed tubes and their disappearance temperatures were determined visually during contro…
The emission radiation of the night sky, and in particular the most intense hydroxyl emission, indicates a number of highly significant and interesting processes in the upper atmosphere. Despite major advances in the study of night-sky emission and twilight flashes, many uncertainties still remain i…
The paper gives a method for converting certain monotone irreducible mappings of continua into monotone-open mappings by composing them with suitable continuous decompositions or small shifts of the target space. Under hypotheses on the connectedness of the set of points of uniqueness in domains, it…
This paper reconsiders the relativistically invariant wave equation for a charged spin one half particle whose magnetic moment differs from the Dirac value. Starting from the nonrelativistic Pauli equation with an anomalous magnetic moment, it reformulates the spinor description using real spinors a…
This note studies the possible limit functions obtained from subsequences of partial sums of a trigonometric series on sets of positive measure. It introduces limit elements in a broad sense and a corresponding notion of closure in the narrow sense for sets of measurable functions. The main result g…
This study examines phase relations in two binary systems of long-chain normal paraffin hydrocarbons relevant to the characterization and separation of petroleum paraffins: eicosane with triacontane, and triacontane with dotriacontane. Highly purified hydrocarbons synthesized by Kolbe electrolysis o…
The problem of ferroelectricity is one of the important problems of solid-state physics. The study of ferroelectric phenomena provides direct information about the nature of crystals. At the same time, the study of ferroelectric phenomena is also of independent interest in view of the continuously i…
This note studies embedding and trace properties for a function space defined by completing smooth functions under a quadratic metric involving second derivatives, where the metric coefficients may degenerate on a rectilinear part of the boundary. Using Sobolev embedding results away from the degene…
This paper studies spectral functions of self-adjoint ordinary differential expressions of even order on intervals with regular or singular endpoints, using the generalized resolvent formula previously obtained by the author. It defines a characteristic matrix for each generalized resolvent, establi…
This note generalizes and refines the Siegel, Maass, and Selberg integral formula for positive definite symmetric matrices in the setting of homogeneous cones. It gives a representation-theoretic proof based on harmonic differential operators, irreducibility considerations, and Bochner’s theorem, wh…
The paper investigates the photoconductivity of violanthrone and pyranthrone layers prepared by rubbing dye powders onto quartz, contrasting these layers with previously studied sublimed films whose absorption spectra may have been altered by repeated sublimation. Measurements of dark conductivity, …
The study examines how solvent identity affects energy transfer during gamma radiolysis of benzoyl peroxide solutions in benzene, cyclohexane, and ethyl acetate. Decomposition rates were measured iodometrically, while diphenylpicrylhydrazyl was used to assess radical formation and to distinguish dir…
The paper studies whether analytic functions given by Lebesgue Cauchy type integrals over closed rectifiable contours can be reconstructed from their nontangential boundary values, even when those boundary values need not be Lebesgue or Denjoy integrable. It introduces an A-integral along smooth con…
This study examines the catalytic polymerization and subsequent aromatization of isobutylene, motivated by thermodynamic calculations indicating possible formation of xylenes through dimerization, cyclization, and dehydrogenation steps. Isobutylene, prepared from isobutyl alcohol, was passed through…
This paper derives general relations for the contours of absorption and luminescence bands of complex molecules whose spectra exhibit Levshin mirror symmetry. Combining a universal relation between luminescence power and absorption coefficient with the mirror symmetry condition, the authors obtain e…
This paper develops an approximate thermodynamic treatment of vapor adsorption on homogeneous surfaces when adsorbed molecules associate into surface complexes. Using a quasi-chemical equilibrium method, it derives isotherm equations for horizontal complexes in the first layer and then extends the m…
This note refines Kolmogorov’s notions of epsilon entropy for compact metric spaces by distinguishing relative entropy, defined with respect to a metric extension, from absolute entropy, defined through economical coverings by sets of bounded diameter. It proves that absolute epsilon entropy is the …
This study examines the overall kinetics of ethane cracking at 800 to 900°C under short reaction times, using a quartz reactor with a fluidized corundum heat carrier to provide rapid heating, near complete mixing, and rapid quenching. Product compositions were measured chromatographically, with radi…
The paper studies a two-phase moving-boundary parabolic problem introduced by N. N. Verigin, related to the Stefan problem but involving two coupled diffusion regions and interface conditions. By transforming the moving boundary to a fixed coordinate system, the author derives integral representatio…
The paper introduces Lebesgue-Orlicz points by extending the usual Lebesgue point condition from \(L_p\) metrics to Orlicz norms associated with complementary \(N\)-functions. It establishes their position between ordinary Lebesgue points and points of continuity on sets of full measure, gives crite…
This paper proposes an approximate method for calculating the surface tension of metals using the heat of sublimation rather than an arbitrarily chosen number of free electrons per atom. It develops a polar ion-electron lattice model, incorporates surface roughness through a statistical treatment of…
This note proves that the defective cohomology groups assigned to infinite-dimensional subsets of Hilbert space are invariant under different cell decompositions. The argument introduces cellular mappings between cells of fixed defect, defines an admissibility condition and a degree for such mapping…
This study investigates the addition of trans-1,3-pentadiene to nitrosobenzene in order to determine the structure of the resulting 3,6-dihydro-1,2-oxazine derivatives and to assess implications for the mechanism of diene synthesis with nitroso compounds. The adduct was prepared in chloroform and ch…
This paper formalizes program schemes for automatic computing machines as strings of operators, logical conditions, and paired markers, with execution determined by sequences of truth assignments to logical variables. It defines admissible sequences under a distribution of possible variable shifts c…
The paper introduces the notion of a determining statistic, a statistic whose exact distribution uniquely reconstructs the parent distribution within a specified class, and presents this as a generalization of the classical moment problem. It studies homogeneous definite statistics with star-shaped …
This study examines the structures of benzhydroxamic acids and the alpha and beta forms of tribenzhydroxylamine in solution by quantitative ultraviolet absorption spectroscopy in ethanol, sodium alcoholate, and concentrated sulfuric acid. Comparisons with benzamide and analysis of solvent and acid o…
A report delivered on September 5, 1956, at a meeting of the Division of Physical and Mathematical Sciences of the Academy of Sciences of the USSR dedicated to the 50th anniversary of Ludwig Boltzmann’s death.
This note decomposes the space of continuous tangent vector fields on the n-dimensional sphere into irreducible invariant subspaces under the rotation group. Using zonal fields determined by their values at a fixed pole, the argument derives the possible polynomial components, separates gradient and…
This paper gives a unified hydrodynamic treatment of small oscillations in a homogeneous two component plasma in an external magnetic field, for arbitrary propagation direction and wavelength under an ideal gas pressure approximation. Starting from linearized electron and ion equations coupled to Ma…
This study examines the high-temperature strength of nickel alloys in binary, ternary, quaternary, and quinary systems containing elements of limited solubility such as titanium, chromium, tungsten, aluminum, and niobium. Using centrifugal testing at 800 degrees under varied stresses, the authors co…
This paper reports preliminary experimental results on high-energy nucleon interactions with nuclei in photographic emulsion, motivated by the lack of a satisfactory theory for particle production at energies of about 10^11 to 10^13 eV. Seven particle jets observed in an Ilford G-5 emulsion stack ex…
In this article, we shall dwell in detail on Fermi’s proposed statistical theory of multiple processes. The choice of this theory is due to the fact that, unlike others, it can also be applied at comparatively moderate energies of 1–5 BeV, where numerous experimental data are available.
This paper reports the homolytic isomerization of 1,1,1-trichloro-2-bromopropene to 1,1,2-trichloro-3-bromopropene-1, occurring after an induction period or rapidly under mercury-lamp illumination and inhibited by hydroquinone or dimethylaniline. The authors propose a radical chain mechanism involvi…
This paper examines how thin mercury coatings affect the tensile strength and plasticity of metallic single crystals at room temperature. Zinc, tin, cadmium, and lead single crystals were coated with a uniform mercury film and tested in tension, with particular attention to stress, elongation, crack…
This note studies the behavior at infinity of eigenfunctions of self-adjoint operators in square-integrable function spaces, motivated by earlier results on Sturm-Liouville and Schrödinger operators. It proves that if a resolvent, or a suitable power of it, is an integral operator whose kernel satis…
This article considers only atomic-type distortions, such as vacancies, dislocated atoms, and dislocations. These lattice defects interact with one another, giving rise to the observed effects in metals. In this connection, a real crystal can be regarded as a certain medium in which distortions of v…
