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 how the number of conjunctions in an arbitrary irredundant disjunctive normal form of a Boolean function can exceed that in a minimal form, with attention to the function’s dimension, defined through maximal subcubes on which the function equals one. It proves that the general boun…
The paper studies a mixed initial boundary value problem for a fourth order equation with a small positive parameter multiplying the highest spatial derivative, which degenerates as the parameter tends to zero into a second order hyperbolic equation. Using the Vishik and Lyusternik asymptotic method…
The study investigates the mechanism and bond cleavage direction in the hydrolysis of vinyl acetate and vinyl benzoate, a question previously inferred mainly by analogy with ordinary alkyl esters. Using water enriched with oxygen-18, the authors hydrolyze the esters under acidic, neutral salt-cataly…
This study examines whether amorphous elastomers, specifically natural rubber and SKB-30 synthetic rubber, contain ordered structural elements comparable to those previously observed in other amorphous polymers. Using electron microscopy with varied specimen preparation methods, including altered so…
This paper reports room temperature measurements of the electrical resistance of several semiconducting elements under static pressures up to 250,000 to 300,000 kg/cm². The authors examine boron, graphite, silicon, germanium, black phosphorus, selenium, tellurium, and iodine, comparing the observed …
This study examines isotopic hydrogen exchange between aromatic hydrocarbons and liquid deuterium chloride, addressing a gap in comparative data for hydrogen halides as protogenic media. Using Monel apparatus suitable for the high vapor pressure of liquid DCl, the authors measured deuterium incorpor…
This study examines the mechanism of pitting corrosion of zirconium in halide solutions, focusing on whether surface activation is governed by transport of halide ions to a critical near-electrode concentration. The authors measured the induction period before activation during anodic polarization i…
The paper surveys applications of projection spectra and spectra of canonical closed coverings to the structure and dimension theory of topological spaces. It formulates characterizations of normal and paracompact spaces in terms of directed refining, strongly refining, or cofinally refining systems…
The paper addresses the problem of approximating an inconsistent system of linear equations by minimizing the sum of absolute residuals. It presents a finite monotone computational scheme based on Jordan eliminations, analogous to the simplex method, in which vertices of the polyhedral surface defin…
The paper generalizes S. N. Bernstein’s theorem on extremal nonnegative trigonometric polynomials from the case of two linear coefficient relations to an arbitrary finite number of such relations. It studies the minimization of an integral of a nonnegative trigonometric polynomial under prescribed l…
This paper examines the synthesis and stereochemical assignment of ethambutol, 1,2-bis-(2-iminobutanol-1)-ethane, whose antitubercular activity is strongly dependent on configuration. The authors establish the absolute configuration of optically active 2-aminobutanol-1 by reducing ethyl D-alpha-amin…
The paper presents investigations of the lower ionosphere at altitudes of about 50 to 90 km, a region difficult to study with conventional pulse sounding and radio interference methods because of low electron concentrations. The authors combine analysis of long and superlong radio wave propagation w…
This paper investigates the distribution of overvoltage at germanium electrolyte interfaces, a problem complicated by surface states that can affect impedance measurements and obscure the capacitance of the semiconductor space charge layer. A method is proposed in which illumination is used to compe…
This paper examines whether Mergelyan’s uniform approximation theorem for functions analytic in a domain and continuous on its closure extends beyond finitely connected closed domains. It constructs a simply connected domain, equal to the interior of its closure, for which uniform approximation by r…
This paper examines initial polarization peaks observed during cathodic reduction of sparingly soluble metal oxides and evaluates whether they arise from ohmic resistance or from kinetic hindrance in forming a new phase. Using oscillographic potential measurements for mercuric oxide and silver subox…
A new synthesis of anthracene hydrocarbons is described based on the action of phosphorus pentoxide on 2-benzyl-1,2,3,6-tetrahydrobenzoic acids. These intermediates were obtained by zinc and hydrochloric acid reduction of aroyl-tetrahydrobenzoic acid adducts derived from diene hydrocarbons and benzo…
The paper develops a theoretical estimate for defects produced in solids when gamma emission creates energetic recoil atoms. Treating the recoil event as effectively instantaneous, the authors divide energy dissipation into an early high energy density stage, in which defect formation is most probab…
This paper studies the asymptotic behavior of approximation errors for multiply differentiable functions under arbitrary linear positive operators on finite intervals. It proves a necessary and sufficient condition, expressed through the vanishing ratio of higher even central moments of the operator…
The paper addresses the observed asymmetry of hydrogen spectral lines in dense plasma, especially the stronger blue maximum in the profiles of the H beta and H delta lines at charged particle densities above about 10^16 cm^-3. It argues that a homogeneous Stark field cannot account for this effect a…
The paper examines low-temperature absorption and luminescence spectra of highly pure gallium phosphide crystals, focusing on narrow and broad emission lines associated with local centers and their coupling to lattice phonons. Spectra recorded at 4.2 K reveal about one hundred luminescence lines, in…
This study examines photoinduced electron paramagnetic resonance signals in microcrystalline organic dyes, focusing on triphenylmethane and xanthene compounds under visible illumination. Using evacuated quartz ampoules with controlled admission of oxygen, quinone vapor, and water vapor, the authors …
This paper studies nonnegative solutions of a nonlinear boundary value problem arising from the Thomas-Fermi and Thomas-Fermi-Dirac equations, with boundary data depending on parameters y0, q, and R. Under monotonicity, continuity, integrability, and Lipschitz-type assumptions on the nonlinear term,…
This paper develops a general theory for products of independent random variables, treating multiplication as an operation on distribution functions analogous to convolution in the additive scheme. It introduces a characteristic transform based on powers of the absolute value and signs of a random v…
This paper investigates direct iodomethylation of 2-substituted indandiones-1,3 as a route to reactive intermediates for the synthesis of physiologically relevant aminomethyl derivatives. The authors show that heating 2-aryl-, 2-aralkyl-, and 2-alkylindandiones-1,3 with methylene iodide in the prese…
This note studies overconvergence for series of rational functions that converge uniformly on a continuum or, more generally, a set of positive harmonic capacity, without restrictions on the locations of their poles. It establishes quantitative relations between the rate of convergence on the set an…
This study examines whether 2-O-trichloroacetyl-3,4,6-tri-O-acetyl-beta-D-glucopyranosyl chloride can serve as a glycosyl donor for directed synthesis of 1,2-cis, alpha-glucosides of complex aglycones under Koenigs-Knorr-type conditions. Reactions with cholesterol and methyl oleanolate were carried …
This paper examines the relationship between infrared spectral shifts of free surface hydroxyl groups on silica and the energetic characteristics of adsorption for nonpolar hydrocarbons, aromatic compounds, water, alcohols, and ether. Using reported and new values of hydroxyl stretching band shifts …
This paper examines whether ammine and amido complexes of tetravalent platinum can form metallic derivatives, especially silver-containing salts, through coordination of silver ions to a platinum-bound amido group. The authors use solubility experiments with silver hydroxide and silver chloride, inc…
This paper studies traces of functions in Sobolev spaces on hyperplanes, including the case where the hyperplane dimension is too small for the classical Sobolev trace embedding to yield an ordinary integrability statement. Treating the trace as an abstract function of the transverse variables, the …
This paper studies time optimal control for linear discrete systems subject to cyclic constraints on the control, where admissible controls are bounded over repeated intervals of a fixed length. Four variants of such constraints are formulated, including blockwise sums, maxima, and p norm conditions…
This note relates analytic continuation results for Legendre polynomial expansions to Hadamard’s multiplication theorem for power series, using Faber’s correspondence between the singularities of the two representations. It observes that the Gunson and Taylor theorem on termwise products of Legendre…
This paper examines the mechanism of flame acceleration during the transition from normal combustion to detonation in gaseous mixtures in tubes. It argues that the flow ahead of the flame should be treated as a nonstationary double discontinuity rather than as a fully developed turbulent flow, and e…
This note studies cubature formulas on the sphere, with emphasis on how many nodes are needed to obtain exactness for prescribed systems of spherical functions or analytic functions. It proves a duality criterion relating exact cubature with fixed nodes to interpolation conditions, and gives a suffi…
This paper interprets low-temperature electronic absorption spectra of sodium, ammonium, tetramethylammonium, and potassium dichromate crystals, focusing on the narrow bands at the long-wavelength absorption edge and broader structure toward higher frequencies. It argues against attributing the obse…
The paper characterizes semigroups whose lattice of subsemigroups has relative complements in every interval, termed RK semigroups. It develops structural lemmas showing, among other things, that such semigroups are periodic, that their idempotents form a subsemigroup, and that semigroups with more …
This paper examines the photoelectrochemical behavior of n-type and p-type silicon at the silicon, alkali interface during self-dissolution and the onset of passivation in potassium hydroxide solutions. Using anodic polarization, illumination experiments, and alternating-current measurements of resi…
This paper reports the isolation and identification of natural beta-cedrene from the sesquiterpene hydrocarbon fraction of the essential oil of hemispherical juniper. After removal of cedrol and repeated alumina chromatography, a small fraction was obtained whose physical constants, elemental compos…
This note extends von Neumann’s ergodic theorem for stationary processes to homogeneous random fields in broader settings. It introduces ergodic generalized sequences of averaging functions on Euclidean space and locally bicompact groups, then proves mean-square convergence of the corresponding aver…
This paper solves a problem of A. A. Zykov concerning a recursively defined vertex function on finite directed graphs without loops, whose definition depends initially on an ordering of the vertices. It derives necessary and sufficient algebraic conditions on the ring parameters under which the func…
The paper presents two finite algorithms for systems of linear inequalities: successive puncturing, which constructs a vertex solution from a given feasible point, and successive folding, which moves from a vertex solution to one optimizing a specified coordinate when the rank equals the number of u…
This study quantitatively examines the reversible dehydrobromination of 2-bromopropane to propylene and hydrogen bromide, a system for which equilibrium data had not previously been reported. Using a flow reactor with a promoted cuprous bromide catalyst, the authors measured equilibrium compositions…
This paper investigates discrepancies between reported reflection and absorption spectra of cuprous oxide in the light-blue and blue spectral regions, focusing on whether they arise from deformation stresses in thin samples attached to substrates. Low-temperature absorption and reflection measuremen…
This paper analyzes established nonlinear relativistic electrostatic waves excited in a cold one-dimensional plasma by relativistic charged-particle beams. Using relativistic hydrodynamic equations with self-consistent fields, it reduces the stationary nonlinear problem to quadratures and derives ex…
This paper investigates the electron-density distribution in gray tin, a diamond-structure group IV semiconductor with unusually large diamagnetic susceptibility and a small forbidden-band width. X-ray powder diffraction measurements using Cu K alpha radiation were performed at room temperature and …
This paper investigates the bulk polymerization of nitroethylene under cobalt-60 gamma irradiation as a route to purer, higher-molecular-weight polynitroethylene without solvent or chemical initiator contamination. Nitroethylene was irradiated in sealed evacuated ampoules at 20 degrees Celsius under…
This study examines the gamma radiolysis of acidic sulfuric acid solutions containing mixtures of ferrous and ferric ions saturated with hydrogen under pressure. By measuring initial ferrous oxidation or ferric reduction yields while varying ferric ion concentration, hydrogen pressure, and ferrous i…
This study reports the synthesis and characterization of tri-(omega-styryl)-boron from bromostyrene-derived Grignard reagent and boron trifluoride etherate, with attention to the influence of reagent ratios, temperature, and inert atmosphere. Under dry argon in tetrahydrofuran at 40 to 45 degrees, t…
