SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25357 full-text translations 14926 English PDFs 22539 abstracts
Showing 50 of 25357 papers
This paper examines reported density changes in rotating liquid helium, especially the proposed compaction of helium II near the lambda transition, and tests whether the effect can be attributed to centrifugal compression or to thermal causes. After noting that the compressibility required to explai…
This paper studies regular positively homogeneous production models in finite-dimensional ordered normed spaces and defines a conjugate, or dual, production model through inequalities between attainable output sets and nonnegative linear functionals. It establishes basic properties of the dual mappi…
This paper reports a capillary optical micromethod for measuring the refractive index of very small quantities of structurally modified water produced by vapor condensation on glass and quartz surfaces. The method treats liquid in a quartz capillary as a cylindrical lens, uses immersion matching to …
This note extends local correction techniques for homeomorphisms to questions of stability and local flatness in higher-dimensional topology. It proves that for \(n \geq 5\), a homeomorphism of \(S^n\) fixed on \(S^{n-2}\) can be modified by a stable homeomorphism so that the composition is the iden…
This note studies convergence properties of polynomial Ritz approximations for positive definite elliptic boundary value problems, beyond the usual convergence in the energy norm. Using Kantorovich’s projection framework, it estimates the error through the norm of the Galerkin projector and the best…
The paper studies when boundary conditions prescribed on only part of the boundary of a bounded domain can be extended to boundary conditions that define a solvable extension of a constant coefficient differential operator in an L2 setting. It reduces the question to boundedness of the inverse of an…
This paper examines the hidden dynamical symmetry of the relativistic Kepler problem, focusing on the Dirac equation in a Coulomb field and the residual twofold degeneracy of levels with equal absolute Dirac quantum number. Using the Johnson, Lippmann integral of motion and its nonrelativistic limit…
This paper studies optimal regularization for ill-posed convolution integral equations of the first kind when the right-hand side contains random noise and the solution and noise are modeled as stationary uncorrelated processes. It compares Wiener-type optimal filtering with Tikhonov regularization,…
The paper addresses the computation of gas transport coefficients in situations where experimental determination or direct solution of the Boltzmann equation is difficult, especially when molecular internal processes are treated mechanically. It proposes a Monte Carlo mathematical experiment that fo…
This paper studies stability of control systems with pulse-width modulation using a general quadratic stability criterion for systems with linear dynamics and nonlinear or time-varying feedback elements. It refines frequency-domain conditions based on quadratic integral inequalities, including versi…
Continuous reflected-wave seismic profiling was used to examine the sedimentary sequence of the Sea of Japan along four profiles totaling about 300 km, extending across the deep-water basin and toward adjacent continental slopes. The records distinguish a deep-basin sedimentary cover divided into an…
This paper treats radiative diffusion in a plane layer of large optical thickness illuminated by parallel rays, extending earlier isotropic results to anisotropic scattering. Using integral equations for the source function and intensity, it derives the asymptotic radiation field in the deep layers …
This note proposes a thermodynamic interpretation of learning and adaptation processes in automata, treating transitions under random rewards and punishments as relaxation toward equilibrium in a physical system with discrete energy levels. For an automaton with linear tactics, the final state distr…
This paper reports electro-optical measurements of the temperatures of organic liquids compressed by shock waves at pressures up to about 200 kbar. Shock-front luminosity was recorded with photomultiplier and oscilloscope methods, and brightness temperatures were obtained for toluene, methanol, hexa…
Electron paramagnetic resonance measurements at 9320 MHz were used to study pentavalent chromium complexes formed in ethylene glycol from hexavalent chromium compounds or potassium perchromate over 320 to 77 K. In liquid solution the spectra show a line from even chromium isotopes and a four-compone…
The paper studies approximation of continuous periodic functions by linear operators formed from Fourier coefficients and by weighted sums of Fourier partial sums. It derives general pointwise estimates for the deviation of such operators from the function in terms of the sequence of best uniform tr…
The paper addresses the moduli problem for marked Riemann surfaces of type \((g,n)\) through Teichmüller space, using quasiconformal mappings associated with a Fuchsian group and their restrictions to the unit disk. It introduces global moduli given by the first \(m=3g-3+n\) nontrivial Taylor coeffi…
This paper develops a method for estimating nonprincipal character sums over boxes in finite fields and applies it to the distribution of primitive roots. For a finite field of order p^n defined by an irreducible polynomial, it proves that sums over n dimensional intervals of side length H are bound…
This paper examines the production of temperatures between the hydrogen triple point and the critical temperature of helium by pumping saturated vapor from the surface of solid hydrogen. The authors analyze the relevant vapor pressures, sublimation heat, heat capacity, thermal conductivity, and orth…
This paper examines the role of mercury vapor in producing anomalous photoconductivity in amorphous selenium films, addressing whether mercury creates long trap centers or merely lowers a preexisting nonphotoactive resistance. The authors compare spectral photoconductivity in pure films and in films…
This paper extends the Smale and Hirsch weak homotopy classification of immersions to mappings transverse to general distributions, especially foliations. It defines transversality for a map between distributions via injectivity of the induced bundle homomorphism, proves that for a foliation whose d…
This paper examines the role of electrical properties in precipitation formation in warm cumulus and stratocumulus clouds. Aircraft measurements of droplet charge, size distribution, and electric-field potential gradient are combined with calculations of collision efficiency for charged droplets mov…
The paper extends K. Itô’s theorem on the independence of jump counts for processes with independent increments from real-valued processes to processes taking values in topological groups with a countable base. Using a generalized P. Lévy inequality, it proves that stochastically continuous separabl…
This note studies completeness of systems of eigenvectors and associated vectors for several classes of polynomial and rational operator pencils in a separable Hilbert space. Using resolvent estimates in the style of V. I. Macaev, together with Poisson integral estimates, Levinson’s lemma, and confo…
The study examines secondary ion emission and elastic scattering from a 50 percent W, Mo alloy under bombardment by low energy K+ ions, with comparison to pure tungsten and molybdenum targets. Energy spectra measured using a high resolution cylindrical capacitor analyzer show distinct peaks correspo…
The paper studies the approximate solution of singular integral equations on the unit circle with Cauchy-type kernels by the method of mechanical quadratures, a method for which general justification had previously been limited. It formulates algebraic computational schemes for equations of zero and…
This paper studies when the functors in complex K-theory defined by skeletal completion and by homotopy classes of maps to BU coincide for locally finite CW-complexes. It gives a necessary and sufficient criterion in terms of rational cohomology and the Atiyah-Hirzebruch spectral sequence, with coro…
The paper studies the Cauchy problem for a class of second order nonlinear differential equations in a Hilbert space with a time dependent, generally unbounded self-adjoint linear operator and a nonlinear term depending on time, the solution, and its derivative. Under coercivity, differentiability, …
This note develops criteria, using modular forms and estimates for the least quadratic nonresidue, for determining when representation numbers of positive integral quadratic forms admit Liouville-type formulas. It defines Liouvillean quadratic forms through the decomposition of their theta series in…
This paper studies infinitesimal rigidity of Darboux surfaces with boundary in a three-dimensional Riemannian space, under a generalized sliding boundary condition determined by a prescribed vector field along the boundary. Using isothermally conjugate coordinates, the bending equations are reduced …
This paper examines horizontal temperature variability in the ocean surface layer as a physical process relevant to air sea interaction, convective mixing, and turbulence generation. Continuous electrothermograph measurements from the first cruise of the research vessel Akademik Kurchatov in the Atl…
This paper studies Kolmogorov-style complexity for programs that decide, up to a bound n, membership in a set of natural numbers, with special attention to recursively enumerable sets. It defines this complexity via a universal partial recursive function and proves that every recursively enumerable …
This paper studies a periodic solution of the one-dimensional diffusion equation on a half-line with a nonlinear multivalued S-shaped boundary condition and an a priori unknown period. In the symmetric case, the boundary-value problem is reduced to a nonlinear integral equation for the boundary trac…
This note studies direct product representations of the canonical commutation relations arising from countable tensor products of one degree of freedom Schrödinger representations. It proves an equivalence criterion for irreducible components generated by product vectors, characterizes these represe…
This paper reports measurements and interpretation of near-bottom currents at great depths in the Black Sea, based on more than 30 velocity profiles obtained with autonomous instruments recording current speed and direction at multiple horizons. The observations show pronounced velocity maxima in th…
This study examines how the degree of fluorescence polarization in porphyrin derivatives depends on emission wavelength, particularly at liquid nitrogen temperature where vibrational structure is partially resolved. Measurements were made for porphyrins, chlorins, and metal complexes of azabenzoporp…
This paper studies a one-product dynamic economic model in which fixed assets are distributed by capital structure and new investment reallocates labor from the lowest to the highest structures. Starting from labor and capital balance equations and a differential optimization condition, it derives a…
The paper studies optimal iterative processes for solving nonsingular systems of linear algebraic equations, allowing polynomial corrections in a preconditioned operator with coefficients chosen as functionals of the current residual. It formulates the optimization problem in a weighted norm, reduce…
This note formulates several results on Orlicz spaces in the sense of Zaanen over a complete continuous sigma-finite measure space, with attention to the Young class, associated norms, and distinguished closed subspaces. It gives criteria, mainly in terms of Delta conditions for the Young function a…
This paper proposes an iterative principle for constructing multichannel automatic control systems intended to reproduce a prescribed input signal with high accuracy. Each additional channel is driven by the residual error of the preceding channels and contributes a corrective output, leading to rec…
This note studies spectral properties of a non-self-adjoint matrix differential operator on the half-line associated with the equation involving matrix coefficients C(x) and Q(x), under boundary conditions defined by constant matrices. Extending earlier scalar results, it establishes existence and a…
This paper studies quasioptical transmission lines whose phase correctors are separated by unequal distances, a case in which ordinary eigenwaves with identical field repetition at each corrector do not exist. It introduces the concept of generalized eigenwaves, defined by field similarity between c…
Infrared reflection spectra of n-type and p-type GaAs crystals with different carrier concentrations were measured over wavelengths from 1 to 40 micrometers to examine optical properties, effective ionic charge, and carrier effective masses. The reflection minimum near 35 micrometers in lower-concen…
A scheme is proposed for a gas laser producing short-wavelength, ultraviolet photons through transitions between the ground state and a resonantly excited state of inert-gas atoms. The argument is based on dissociative recombination of electrons with molecular ions in inert-gas mixtures, which can s…
Hydrothermal crystallization in iron, alkali metal, and tungstate systems was investigated to obtain and characterize iron-containing tungstates, motivated by the hydrothermal occurrence of wolframite-group minerals. Experiments in stainless-steel autoclaves with titanium liners showed that mixed li…
This paper studies uniqueness in contact inverse problems for generalized magnetic potentials associated with a second order uniformly elliptic operator with variable coefficients. The potentials are represented as combinations of volume mass potentials and simple layer potentials, and the problem i…
This paper investigates whether high static and dynamic pressures can transform wurtzite-type aluminum nitride into a denser, potentially harder modification. High-purity aluminum nitride was subjected to shock compression, high nonhydrostatic static pressure with shear deformation up to 400 kbar, a…
The paper studies abstract Cauchy problems in a Banach space for differential equations with unbounded operators whose resolving semigroups need not be analytic and may have power singularities at the origin. For the autonomous problem, it gives conditions under which the variation of constants form…
