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
The paper constructs continual analogues of orthogonal polynomials for spectral measures whose support is the positive half-axis with finitely many removed intervals. For two explicit absolutely continuous weights, it studies the associated entire functions analogous to cosine and sine transforms an…
This paper examines the mechanism of so-called detergent additives in lubricating oils, arguing that their action is better understood as dispersion or peptization of insoluble suspension particles. Using carbon black in toluene as a model system, the authors measured adsorption isotherms for nickel…
This note derives integral limit theorems for large deviations corresponding to earlier local results for sums of independent random variables. For identically distributed centered variables with finite positive variance, it gives uniform asymptotic formulas for the tails of normalized sums in range…
This paper gives a criterion for when two normally embedded Banach spaces are related in the sense of belonging to a continuous normal scale with logarithmic convexity of norms. The main result states that, for a Banach space E1 densely and norm-decreasingly embedded in E0, relatedness is equivalent…
This paper examines whether the unusual stability of methyllithium in diethyl ether is connected with formation of complexes involving lithium halides and ether. Ethereal methyllithium solutions prepared from methyl bromide or iodide yielded crystalline ternary complexes, chiefly CH3Li with LiBr or …
Stationary potentials of zinc and amalgamated zinc were measured at 25 degrees in sulfate electrolytes with constant total sulfate concentration and varying sulfuric acid and zinc sulfate contents, under hydrogen and with attention to stirring effects. The study examines the transition between pract…
This paper examines anomalous impurity absorption in molecular crystals when an impurity excitation level lies close to the edge of a host exciton band, a regime in which the oriented-gas model is expected to fail. Using low-temperature polarized absorption spectra of ordinary naphthalene dissolved …
This paper studies how spectral functions for a Sturm-Liouville equation are related when the differential expression and terminal boundary condition are fixed but the initial conditions are changed. Using functions of the second kind and their Stieltjes transforms, it derives formulas connecting th…
This paper estimates a class of trigonometric sums whose phases have coefficients with descending powers of a prime modulus. Using Vinogradov’s mean value theorem, a lemma of Korobov, and the special structure of the polynomial phase, it proves a power saving bound for these sums when the prime is s…
The paper examines why radiation vulcanizates of polydimethylsiloxane and polymethylvinylsiloxane rubbers show higher heat resistance than conventional peroxide vulcanizates. Using comparative thermal aging and strength data, the authors relate this behavior to the nature of the crosslinking network…
This study examines how halide ions, especially chloride, affect the electrochemical dissolution and corrosion of zirconium in acidic and salt solutions. Using potentiostatic and galvanostatic measurements in hydrochloric acid, sulfuric acid, bromide, and iodide solutions, the authors compare passiv…
Proton magnetic resonance spectra were measured for several bicyclic terpenes and derivatives, including alpha-pinene, beta-pinene, delta-3-carene, their oxides, trans-pinocarveol, and semicyclic carenol, using benzene as an internal standard. The study assigns characteristic chemical shifts to olef…
This note defines and studies crossed products of an arbitrary semigroup with identity and an associative ring with identity, using a semigroup action by automorphisms and an invertible factor system. It extends several questions and results from group rings to this broader setting, proving that cro…
The paper generalizes Nash’s continuity result for uniformly parabolic equations by deriving an a priori Hölder modulus of continuity for bounded solutions of linear divergence-form parabolic equations with bounded lower-order terms and inhomogeneity. The estimate is proved first for equations witho…
A preparative method is described for synthesizing macrocyclic alicyclic ketones with musk odor through intramolecular acylation of acid chlorides of omega-thienylalkanoic acids followed by reductive desulfurization. The authors show that the phase composition of the aluminum chloride condensing sys…
This study examines the isotope effect in hydrogen formation during the radiolysis of polyethylene, focusing on the relative contributions of molecular and radical pathways. Mixtures of polyethylene and deuteropolyethylene were irradiated with 1.6 MeV electrons, and the evolved hydrogen isotopologue…
This study compares the dehydrogenating ability of several diarylpicrylhydrazyl radicals with different aryl substituents, motivated by the unusually high reactivity of N-carbazylpicrylazot, which can dehydrogenate hydroquinone, aromatic amines, and even benzene. New methoxy-substituted radicals and…
This note studies translation surfaces of constant curvature and related structures in differential geometry. Using a conjugate Chebyshev net of translation curves, the author derives the Gauss and Peterson-Codazzi equations, transforms them by taking the coordinate-line curvatures as variables, and…
The paper studies a boundary value problem for the two-dimensional heat equation in a half-plane with zero initial data and a general constant-coefficient differential boundary condition on the boundary. Using heat-potential representations, the boundary trace is reduced first to an integro-differen…
This paper investigates how the nature of an emitter surface affects molecular patterns observed in an electron projector during adsorption and condensation of gases and vapors. Through comparative experiments with metal, semiconductor, oxidized, crystallographically varied, and microrelief-modified…
This study examines whether antiferromagnetic ordering affects the fine structure of the manganese X-ray K-absorption edge in manganese telluride near its Néel transition. Absorption spectra were recorded photographically with a Johann focusing X-ray spectrograph at five temperatures from 280 to 325…
This paper examines the kinetic energy spectrum of locally homogeneous and isotropic turbulence in an incompressible fluid at wave numbers beyond the Kolmogorov inertial range, where viscous effects become important. Using the vorticity transport equation in a deforming fluid element, it models the …
This study examines the often neglected interaction of titanium salts with acetate ions in buffered solutions used for colorimetric titanium determinations and complex formation studies. Titanium precipitation was measured at controlled ionic strength and varying acetate concentrations, and the onse…
This study examines how adsorbed hydrogen and oxygen affect potential shifts produced by specific ion adsorption at a platinized platinum electrode in sulfuric acid solutions. By replacing surface-inactive electrolyte with solutions containing adsorbing ions such as iodide, bromide, thallium, and ca…
This study examines whether ionic crystalline matrices can stabilize organic free radicals at higher temperatures than conventional frozen organic matrices. Crystallosolvates of magnesium and calcium chlorides with methyl, ethyl, and n-propyl alcohols were irradiated at low temperature with fast ele…
The paper formulates an optimization problem for the reactive motion of a variable mass body in a gravitational field, assuming constant useful power expenditure. It derives the mass and weight relations for a prescribed thrust acceleration history, showing that minimizing the required initial reser…
This paper reports microwave measurements of the surface resistance of a high-purity copper resonator in magnetic fields at 300 K, 77 K, and 4.2 K, undertaken to detect electron paramagnetic resonance in a non-alkali metal. The observed absorption maximum gave a g factor of about 2.1, and comparison…
This study examines how external irradiation alters the dye sorption properties of barium sulfate, motivated by earlier observations that radioactive decay within barium sulfate reduces its absorptive capacity. Chemically prepared BaSO4 samples were irradiated with 800 keV electrons or 1.5 MeV proto…
This paper analyzes rapid variations in the transverse-axis rotation period of the second Soviet artificial Earth satellite during March and April 1958, using photometric observations processed at the Odessa Astronomical Observatory. The author derives mean synodic quarter-periods from brightness ex…
This study examines the transformation of the oxidizing component of water radiolysis in strongly alkaline sodium nitrate solutions, with emphasis on the possible role of hydroxyl radicals in nitrate reduction. The authors irradiated nitrate solutions with cobalt-60 gamma radiation and measured nitr…
This paper examines the structure of complex compounds formed between stannic chloride and esters, focusing on whether coordination occurs through the carbonyl oxygen or the alkoxyl oxygen. The authors compare Raman spectra of eleven esters and their mixtures with stannic chloride over varying conce…
This study examines how paramagnetic impurities affect individual fine-structure lines in proton nuclear magnetic resonance spectra of organic liquids. Proton resonance measurements at 30 MHz were performed for ethyl alcohol, ethylene glycol, ethylene chlorohydrin, and glacial acetic acid containing…
This paper reports measurements of chemical shifts in fluorine-19 nuclear magnetic resonance lines for ionic fluoride crystals containing metals from the first and second groups of the periodic table. Using a radio-frequency spectrometer with derivative recording and potassium fluoride solution as a…
This paper addresses the global isometric immersion of a closed two-dimensional Riemannian manifold homeomorphic to a sphere into a complete three-dimensional Riemannian space. It proves that if the manifold has Gaussian curvature everywhere greater than a constant c and the ambient sectional curvat…
This paper examines strengthening in nickel solid solutions alloyed with aluminum across binary to eight-component systems containing chromium, titanium, tungsten, molybdenum, niobium, and cobalt. The authors compare melting behavior, phase composition, lattice parameters, and high-temperature resis…
This paper studies normal and subinvariant subgroup structure in the multiplicative groups of noncommutative division rings. It first shows that any division ring can be embedded in a formal Laurent series division ring whose multiplicative group has an infinite descending invariant series with cent…
This paper addresses quantitative comparison of differential thermographic peak areas when substances or mixtures have different effective heat transfer coefficients. Building on a previously derived relation, the authors test a correction that reduces measured areas to a common heat transfer condit…
This note studies linear methods for approximating continuous doubly periodic functions whose increments are controlled by two prescribed moduli of continuity. For matrices of Fourier multipliers satisfying monotonicity and sign conditions on second and mixed finite differences, the paper derives an…
This paper reports room temperature measurements of the relative electrical resistance of praseodymium, dysprosium, erbium, and ytterbium under pressures from 25,000 to 250,000 kg/cm², continuing earlier high pressure studies of metals. Cylindrical specimens of specified purity were examined as resi…
This paper studies measurable partitions associated with measure-preserving automorphisms of Lebesgue spaces, focusing on the relation between entropy, Pinsker’s maximal zero-entropy factor, and Kolmogorov automorphisms. Using conditional entropy identities and limiting arguments for increasing sequ…
This paper examines the predicted anisotropy of the Mössbauer effect in noncubic crystals, where recoil-free absorption or emission depends on the direction of nuclear recoil relative to crystallographic axes. Using a lattice model with central and noncentral nearest-neighbor forces, it derives phon…
This study examines how the sugar residue and a para chlorine substituent in the aglycone affect the acid hydrolysis of phenyl and p-chlorophenyl beta-D-glycosides of glucose, galactose, and xylose. The glycosides were synthesized by variants of the Helferich method, and their hydrolysis in 1 N hydr…
The paper studies multidimensional surfaces in affine space whose asymptotic quadratic forms can be simultaneously reduced to canonical form, equivalently surfaces carrying a net of conjugate lines. Using moving affine frames and the matrix of eigenvalues of the asymptotic quadratic forms, it relate…
This paper investigates the synthesis and reactivity of tetra-n-propyldiborane and tetra-n-butyldiborane, compounds previously characterized mainly by vapor pressure data. The authors show that these tetraalkyldiboranes can be prepared in good yield by passing diborane into ethereal solutions of the…
This paper examines critical phenomena in the liquid-phase oxidation of hydrocarbons in the presence of inhibitors under open-system conditions, using n-decane oxidation inhibited by alpha-naphthol as the experimental case. Continuous-flow experiments at 135 degrees showed a sharp transition in stat…
This paper constructs integral equation kernels for periodic solutions of Whittaker’s differential equation, with periods pi and 2 pi, by reducing the kernel condition to auxiliary differential equations. Two families of kernels are derived: one based on separated products involving confluent hyperg…
This paper addresses the difficulty of decomposing an unbounded operator into real and imaginary parts when the operator and its adjoint have different domains. Using generalized elements of a Hilbert space, it defines a basic-element manifold and studies operators whose inverse has a finite-dimensi…
