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 note studies large deviation behavior for normalized sums of independent identically distributed random variables beyond the range covered by the classical central limit theorem. It defines zones of normal convergence and gives necessary and sufficient conditions, in terms of exponential moment…
This paper reports preparative and reactivity observations on ferrocene and related metallocene systems, including improved synthesis of ferrocene in dioxane, preparation of a cobalticinium perbromide salt, and near quantitative oxidation of ferrocene to a ferricinium ferritetrachloride salt. The au…
This paper examines systematic deviations from two common assumptions of plasticity under simple loading: similarity of stress and strain deviators and a unique relation between stress intensity and strain intensity independent of stress state. Experiments on annealed technically pure nickel tubular…
This study examines the internal structure of graphitized thermal carbon black particles by observing oxidized and thermally “exploded” particles with electron microscopy. Thermal carbon black calcined at 3200°C was oxidized with strong acids and potassium chlorate, then rapidly heated to split grap…
This study examines the fine structure of the vanadium K-absorption edge in the silicides V3Si, V5Si3, and VSi2, alongside Hall effect measurements, to relate electronic structure to bonding and composition. X-ray absorption spectra were compared with metallic vanadium and V2O5, while Hall coefficie…
This paper examines the potential functions of the methylsilane homologous series, from methylsilane to tetramethylsilane, with emphasis on influence coefficients that are invariant under coordinate transformations. Using a natural coordinate system, determinant calculations, earlier force-field res…
This note establishes inequalities for differentiable functions of several variables in Sobolev spaces of integral and fractional order on domains satisfying a geometric sector condition. Using integral representations analogous to Sobolev’s identity, it derives pointwise, Hölder, and integral estim…
This paper studies spectral properties of operators associated with elliptic and hyperbolic fourth order equations in a four dimensional ball, formulated in Hilbert spaces defined by boundary compatible Sobolev type scalar products. It proves that the operator obtained from the inverse biharmonic op…
This study determines low temperature thermodynamic properties of 1,1-dicyclohexyldodecane, 1,1-diphenyldodecane, and 1-phenyl-1-cyclohexyldodecane under standard conditions. Purified samples were examined calorimetrically from about 12 to 320 K, with heat capacities smoothed, corrected for impurity…
This paper investigates the motion of dislocations in NaCl crystals using selective etching, with emphasis on observing displacement during deformation rather than only before and after it. The authors develop a suitable etchant based on glacial acetic acid and anhydrous methyl alcohol, enabling cle…
The paper applies an asymptotic, geometrical optics type approximation to one dimensional magnetogasdynamics for a conducting plasma of finite conductivity, with gas velocity perpendicular to the magnetic field and displacement current neglected. Introducing a pseudoscalar magnetic potential, the au…
A high-temperature calorimetric method and apparatus are described for determining the enthalpy and heat capacity of solid substances at temperatures up to about 2400°C, using a massive copper calorimeter, diathermic heat measurement, and specimen heating in vacuum or argon. The method was applied t…
This paper proves a central limit theorem for a broad class of observables under geodesic flows on the space of line elements of compact manifolds of constant negative curvature. It formulates sufficient conditions involving local regularity, linear growth of variance, and a uniform integrability co…
This paper reexamines frontal theories of turbulent combustion, questioning the assumption that laminar or small scale turbulent flame fronts remain effective under arbitrary fragmentation and curvature. It argues that finite burning elements surrounded by fresh mixture can be extinguished when smal…
The paper studies the identity problem for finitely presented associative systems whose defining relations have a special uniform form, in particular systems generated by relations of fixed word length. It proves that if the identity problem is decidable for all groups with a given number of nontriv…
This study examines how selenium and tellurium additives affect the activity and selectivity of sponge silver catalysts in ethylene oxidation at 219 degrees Celsius. Using radiolabeled selenium and tellurium compounds, the authors prepared modified catalysts, measured ethylene oxide formation kineti…
The paper describes the synthesis and reactivity of 2-phenyl-4-hexafluoroisopropylideneoxazolone-5, obtained through reactions involving hexafluoroacetone and 2-phenyloxazolone-5 or by cyclization of α-benzamidohexafluorodimethylacrylic acid. It shows that, unlike typical hexafluoroacetone adducts w…
The paper extends Temlyakov’s integral representation theory for analytic functions in bicircular domains of two complex variables to cases where parts of the boundary may be analytic hypersurfaces and the Levi determinant vanishes on boundary portions. By redefining the radius functions with condit…
This paper studies a singular integral equation on a closed Lyapunov contour whose Cauchy kernel contains a shift mapping the contour onto itself with reversed orientation. Under Carleman-type conditions on the shift and coefficients, the equation is transformed via the Sokhotski formulas into a bou…
This paper examines deviations from the usual fourth-power frequency dependence of Raman line intensities as the exciting light approaches electronic absorption bands. Using both classical polarizability derivatives and a quantum expression involving vibrational sublevels of an electronic excited st…
This paper examines heterogeneous equilibria in aqueous systems containing hydrated metal ions, hydroxo complexes, solid metal hydroxide, and water, with attention to amphoteric metals that form hydroxo salts in alkaline solution. From relations between pH, hydroxide solubility, and hydroxo acid dis…
This note studies when finitely presented semigroups with cancellation can be represented inside more general associative systems or groups. It gives an explicit embedding construction showing that every finitely presented semigroup with two-sided cancellation embeds in a finitely presented associat…
This paper examines how volatile organohalogen compounds modify silver catalysts used for selective oxidation of ethylene to ethylene oxide. The authors pass air or nitrogen containing various additives over silver, measure carbon dioxide formation and halide accumulation, and compare oxidation, dec…
The paper extends topological methods in complex function theory to analytic functions whose real parts may be multivalued because of finite power-logarithmic singularities in finite or infinite multiply connected domains. It defines admissible cuts that make the relevant branches single-valued and …
This note studies regular solutions of the differential system describing stationary axisymmetric incompressible, irrotational flow in cylindrical coordinates, whose complex form has coefficients singular on the axis. Using Vekua’s continuation method, the problem is reduced to a complex equation re…
This paper analyzes stationary potential distributions and their stability in one-dimensional distributed electrochemical systems, motivated by self-oscillatory phenomena observed during current passage. Using a tube model with wall electrochemical reaction governed by an arbitrary polarization func…
This note studies multidimensional moment problems through positive-definite functionals on nuclear algebras of sequences and formal power series. Using an integral representation scheme for nuclear spaces, it proves representation theorems by positive measures on the real line, Euclidean spaces, an…
This paper investigates hydrogen isotope exchange between acetone and deuterium bromide in the gas phase, a reaction type less studied than analogous liquid phase exchanges. Using a vacuum apparatus and infrared spectral analysis of HBr, DBr, CH, and CD bands, the study determines deuterium content,…
The paper studies the asymptotic behavior near a higher order singular point for analytic multidimensional systems of ordinary differential equations whose right hand sides have no constant or linear terms. Using a supporting hyperplane construction for the exponent sets, it extracts a quasihomogene…
This paper develops a statistical mechanical model of DNA reduplication that extends an earlier treatment by including solvent interactions, specificity of nucleotide attachment, and flexibility of the free DNA chains. The authors formulate the partition function for a partially separated double hel…
This paper reports direct atmospheric measurements of the skewness coefficient of longitudinal velocity differences in the surface layer, a quantity related to Kolmogorov’s third-order structure function and to the turbulence structure constant. Using two acoustic microanemometers in open steppe ter…
The paper studies exact double-wave solutions of the equations for spatial unsteady motion of a polytropic gas, without assuming potential flow. Using a modified method based on common two-dimensional planar level surfaces, it reduces the governing gas-dynamic system to algebraic and differential co…
This paper examines the stability of plane parallel flows of an inviscid fluid, emphasizing that the usual analysis by normal wave solutions is insufficient because such solutions need not form a complete representation of arbitrary perturbations. The author formulates and solves the Cauchy problem …
This note studies dimension theory for locally bicompact topological groups, extending known results for bicompact groups. It proves first that every locally bicompact group is strongly paracompact, by exhibiting an open and closed subgroup as a countable union of bicompact sets and applying Smirnov…
This paper studies the persistence of invariant toroidal surfaces for a two-dimensional nonautonomous system of differential equations with periodic time dependence under a small analytic perturbation. It treats the case in which the unperturbed invariant torus has rational rotation number but does …
The paper studies Dirichlet, Neumann, and eigenfunction problems for the elliptic operator div[p(x) grad u] minus q(x)u in domains where the coefficients have discontinuities across internal surfaces. Under Hölder-type assumptions on the coefficients and data, positivity conditions on p and q, Lyapu…
The paper generalizes harmonic Wilczynski nets and their Laplace sequences from three and four dimensional projective spaces to an arbitrary projective space. It defines \(L\)-nets and \(L\)-sequences separately for odd and even dimensional spaces through intersections of tangent, axial, and associa…
This study examines how grinding and dispersion affect the surface hydration and water vapor adsorption properties of highly dispersed quartz. Quartz samples prepared from the same crystalline material, with wet grinding used to reduce aggregation effects, were analyzed by water and nitrogen vapor a…
This note develops domain conditions under which Sobolev-type embedding theorems hold for spaces of functions on arbitrary Euclidean domains. Using level surfaces of functions, it defines several classes of domains characterized by measure inequalities, including conditions extending the cone condit…
This study examines whether the initiating addition of ethyllithium to styrene and isoprene occurs instantaneously or gradually during organolithium polymerization. Polymerizations were conducted under argon, and samples were analyzed over time for polymer yield and unreacted ethyllithium, the latte…
This paper examines the mechanism by which magnesium becomes protected from oxidation and the conditions under which this protection fails. The authors argue that oxidation behavior is connected with the electronic structure of surface magnesium atoms, whose valence electrons can form exchange bonds…
This note studies informational stability for Gaussian random variables and random processes, a property connected with the validity of Shannon type information theorems. It defines information density for pairs of random variables and proves that a sequence of Gaussian pairs is informationally stab…
This study determines crystallization temperatures, cryoscopic constants, and purity estimates for bicyclo-(2,2,1)-heptadiene-2,5 and cycloheptatriene, compounds relevant to aldrin production and related isomerization chemistry. Purified fractions were examined cryoscopically, including measurements…
This note studies how restrictions on the angular distribution of zeros, poles, and other value points of a meromorphic function influence its growth. Using Nevanlinna’s angular characteristics together with results of Nevanlinna, Hayman, and related growth estimates, it proves that bounded angular …
This study examines the basic tetrahedron one half lithium sulfate, sodium chloride, rubidium nitrate, and thallium bromide within the seven-component reciprocal salt system Li, Na, Rb, Tl parallel Br, Cl, NO3, SO4. Fusibility measurements, heating and cooling curves, and graphical construction were…
This paper examines the oxidation of lower olefins to carbonyl compounds in aqueous systems containing divalent palladium salts, motivated by the proposed role of olefin palladium pi complexes in such transformations. The authors show that ethylene, propylene, and butenes can be oxidized using hydro…
This paper investigates the spectrum of collective plasma oscillations in a high-density electron Fermi gas at finite temperature. Using a finite-temperature transformation of second-quantized operators and a model Hamiltonian equivalent to summing the leading Gell-Mann and Brueckner diagrams, it de…
This note studies the extension of Vl. Markov’s least deviation problem from ordinary algebraic polynomials to polynomials formed from Chebyshev function systems. It introduces the notion of a regular T-system, defined by a bound on the number of maximum deviation points, and distinguishes regular T…
This paper examines the origin of the unusual dark-red color and structural form of 2-p-nitrophenylindandione-1,3 in comparison with related arylindandiones. Using ultraviolet and infrared spectroscopy of the compound, its sodium salt, derivatives, and the methyl ether of its enol form, the authors …
This paper examines whether dispersed particles produced during combustion of pyroxylin powder burn in the hot flame zone or decompose near the burning surface. Using an isothermal estimate based on surface temperature, decomposition kinetics, gas velocity, and measured burning rates, the authors ca…
