Translated papers from the Chinese Preprint site, Chinaxiv
Showing 50 of 15540 papers
Generated abstract Thin-film Al, Al2O3, organic impurity, Al tunnel junctions were studied to determine how adsorbed organic molecules affect anomalous low-voltage tunnel conductivity. Naphthalene, benzophenone, and their mixture were introduced in approximately monomolecular amounts, and the resulting conductivity an…
Generated abstract This note studies representations of large integers by nondegenerate diagonal ternary quadratic forms and the distribution of integer points on the corresponding quadratic surfaces. Under a stated zero-free region assumption for real Dirichlet L-functions, it proves uniform distribution estimates fo…
Generated abstract This paper studies boundary value problems for elliptic equations, elliptic equations with a complex parameter, and related parabolic mixed problems in unbounded exterior domains. Under uniform ellipticity, Shapiro-Lopatinskii conditions, and additional assumptions describing behavior at infinity, i…
Generated abstract The paper discusses a nonlinear ionospheric effect in which powerful radio waves heat electrons, alter the effective electron collision frequency, and thereby create artificial gradients of the refractive index in the lower ionosphere. Using Fresnel-type estimates for quasi-longitudinal propagation,…
Generated abstract This paper studies Deheuvels homology for metric compact spaces with coefficients in precosheaves of Abelian groups or modules, motivated by the failure of exactness in Alexander-Cech homology. Using injective resolutions of inverse systems of chain complexes of open covers and the associated spectr…
Generated abstract This paper studies periodic and locally finite groups satisfying finiteness conditions on Sylow subgroups, especially SF-groups and S2F-groups. It gives a criterion ensuring that a maximal complete abelian 2-subgroup is invariant in an S2F-group with infinite Sylow 2-subgroups, and uses this to show…
Generated abstract The paper studies stability criteria for the Dirichlet and Neumann problems in three-dimensional potential theory, using a notion of stable capacity for open sets. It relates the stability of boundary value problems in a domain to the stable capacity of domains obtained by inversion from the complem…
Generated abstract The paper presents a double reduction method for solving infinite systems of linear equations that arise when expanding unknown functions with edge or corner singularities in boundary value problems of mathematical physics. Instead of truncating all higher expansion coefficients to zero, the method …
Generated abstract This paper studies absolute stability of stationary nonlinear control systems whose linear part has a critical pair of purely imaginary eigenvalues and all other eigenvalues in the left half-plane. For a scalar sector-bounded nonlinearity, it formulates conditions under which Yakubovich’s frequency …
Generated abstract This paper studies the asymptotic distribution of Pearson’s chi-square statistic in multinomial schemes when the usual condition that all expected cell counts tend to infinity is not satisfied. It introduces an integral representation for characteristic functions of additively separable frequency st…
Generated abstract This note studies one-dimensional singular integral operators with piecewise continuous matrix coefficients on contours consisting of finitely many closed and open Lyapunov arcs, acting in vector-valued L2 spaces. It defines a matrix-valued symbol on an associated cylinder that accounts for jumps an…
Generated abstract This paper addresses the Gibbs paradox for ideal gases by examining cases in which the distinguishability of the gases varies continuously rather than discretely. It first treats gases that are themselves mixtures of common components and shows that the entropy of mixing is a continuous function of …
Generated abstract This paper examines the stability of a low density plasma pinch in the regime where the electron drift velocity exceeds the ion sound speed and the usual one fluid magnetohydrodynamic approximation is no longer adequate. Using ideal two fluid magnetohydrodynamic equations with the magnetic field eff…
Generated abstract This paper develops sufficient conditions for hypoellipticity of linear differential operators with smooth coefficients in terms of Sobolev norm estimates and commutator bounds. It formulates conditions A, B, and C, proves that they imply local gain of regularity from \(Pu\) to \(u\), and derives hy…
Generated abstract This note studies moduli of families of curves and higher dimensional surfaces in Euclidean space, with emphasis on surfaces passing through a point and on Hausdorff measurability. It derives an explicit modulus formula for a rotational family of two dimensional surfaces in three space, then uses it…
Generated abstract This study examines the high pressure polymorphic transformation of silver chloride and the crystal structure of the AgCl II phase, addressing discrepancies between earlier volumetric and X-ray interpretations. X-ray diffraction patterns were obtained for AgCl over 40 to 115 kbar, and for AgCl mixed…
Generated abstract This study examines the dielectric properties of rock and ice systems relevant to permafrost and moraine-bearing glacier layers, with the aim of assessing their suitability for electrical and radio exploration in polar regions. Laboratory measurements were made on granite, basalt, and andesite powde…
Generated abstract This note studies extended Hermite-Fejér interpolation processes formed from Chebyshev nodes with the endpoints added and one endpoint derivative condition imposed. Motivated by earlier examples of pointwise divergence, it asks whether such a weakened process can diverge at every point of the open i…
Generated abstract The paper studies how covering dimension behaves when a topology is represented as the intersection of several zero-dimensional topologies on the same set. For metrizable spaces, it proves that dim X is at most n exactly when the topology can be expressed as the intersection of n plus 1 metrizable z…
Generated abstract The paper studies nonstationary and stationary self-similar waves in cold plasma configurations with electric and magnetic fields that scale with radius, including cylindrical filaments, plane layers, spherical clouds, and plasma jets. By applying similarity substitutions to Maxwell’s equations and …
Generated abstract The paper analyzes the limit equilibrium of reinforced shells resting on a rigid-plastic foundation, for shells whose horizontal sections have similar polygonal or limiting curvilinear projections. Using a virtual work formulation for an assumed plastic mechanism with horizontal plastic hinges and c…
Generated abstract This paper reports experimental measurements of the passage of 8 mm radio waves through the region produced by small TG 50-50 explosive charges. Using horn-lens antennas and oscilloscope records of the received signal envelope, the authors analyze temporal oscillations in the scattered field with a …
Generated abstract The paper studies discrete and integral Wiener-Hopf operators in exceptional cases where the symbol vanishes on the unit circle or real axis. It introduces a notion of normalization for bounded linear operators with nonclosed range by changing the range space so as to obtain a Noether operator, and …
Generated abstract This paper studies two-dimensional systems of differential equations whose right-hand sides are formed from linear combinations of minima and maxima of linear functions, a class motivated by bottleneck processes and dual systems in optimal control. It shows that a pencil of lines through the origin …
Generated abstract The paper studies how lower bounds on the complexity of finite decision procedures for enumerable sets characterize forms of universality in recursive function theory. It defines several notions of effective, strict, weak, and strong nonrecursiveness and complexity, using decision algorithms, charac…
Generated abstract This paper reports experiments on nonmirror reflection of ultrasonic waves from a cadmium selenide piezosemiconductor crystal plate immersed in water, focusing on how illumination and an applied drift electric field affect amplification and absorption. Using pulsed 5 MHz ultrasound, measured polar r…
Generated abstract The paper studies solvability of quasielliptic nonstationary differential equations and Sobolev type problems in cylinders infinite in the time direction, including settings motivated by equations such as Laplace and heat conduction without initial conditions. It introduces weighted Sobolev spaces w…
Generated abstract The paper studies quasiconformal mappings of Euclidean space that arise as gradients of harmonic functions, motivated by Liouville-type rigidity results for holomorphic quasiconformal mappings. For dimension three, it proves that any nonconstant harmonic quasiconformal mapping from three-dimensional…
Generated abstract This paper examines how phase transitions in cyclopentane are manifested in low-temperature infrared absorption spectra, focusing on the temperature dependence of the 546 cm⁻¹ band width from 300 to 80 K. Measurements show changes in slope or discontinuous jumps at crystallization and at the crystal…
Generated abstract This paper examines how generally covariant observable, or assigned, quantities transform between arbitrarily moving reference frames in special and general relativity. Using Zelmanov’s chronometric invariant formalism, the authors represent each reference frame by a unit timelike vector field and a…
Generated abstract This note extends Michael’s theorems on continuous selectors of lower semicontinuous multivalued mappings to mappings whose values lie in separated uniform spaces. It introduces uniform metrizability and uniform almost metrizability relative to a weaker countably based uniformity, and proves selecto…
Generated abstract The paper studies completeness of systems of functions in finite-valued logic under codings of finite sets and up to coding, with emphasis on the three-valued case. It introduces a partial order on equivalence classes of codings by majorization, analyzes special codings, and uses these notions to re…
Generated abstract The paper studies scattering for a self-adjoint system of ordinary differential equations on a half-line with a compactly supported Hermitian matrix potential, comparing the perturbed wave group with the free Dirichlet wave group. Using the Lax-Phillips and Adamyan-Arov framework, it derives an expl…
Generated abstract The paper studies vector bundles equipped with fiberwise module structures over finite-dimensional associative algebras and applies these structures to cobordism theory. It establishes criteria for local triviality via linear homogeneity, constructs universal fibered modules for fixed typical fibers…
Generated abstract This paper investigates the nonstationary onset of thermal convection in a horizontal layer of viscous liquid heated from below, using time-resolved temperature measurements across the layer. Experiments with oils, glycerin solutions, alcohols, and water compare observed temperature profiles with th…
Generated abstract The paper formulates finite plane deformation problems for an ideally elastic isotropic body in complex coordinates of the initial configuration, without imposing geometric or physical linearization. It derives geometric compatibility relations in terms of logarithmic strain invariants and rotation,…
Generated abstract This note studies Whitney’s problem on the possible normal Euler numbers of smooth embeddings of nonorientable closed surfaces in four-dimensional Euclidean space, focusing on the projective plane and the Klein bottle. The argument reduces embeddings to special forms and translates the question into…
Generated abstract This paper investigates the spatial and energy distributions of medium-energy ions scattered by a single crystal, using a specially constructed apparatus capable of varying incidence, target rotation, and polar and azimuthal scattering angles. Experiments with 30 keV argon ions incident on the (100)…
Generated abstract This paper studies the asymptotic distribution of eigenvalues for the Friedrichs extension of a symmetric constant coefficient differential operator on a bounded domain. Assuming the symbol tends to infinity and that the area of the level surface is negligible relative to the volume of the sublevel …
Generated abstract This paper examines the successive recording of many holograms on the same photosensitive area as a means of high density information storage. Using point source objects recorded with different reference beam angles, the authors analyze how reconstructed image quality is limited by noise from photog…
Generated abstract A quantum theory is developed for the frequency dependent conductivity of polarons in three dimensional disordered systems with spatially and energetically inequivalent localization centers, such as impurity conducting materials at low carrier concentrations and temperatures. Using a Kubo formula an…
Generated abstract This paper studies first boundary-value problems with weighted boundary conditions for higher-order degenerate elliptic equations in bounded domains whose boundary includes a flat degeneracy portion. It introduces weighted Sobolev-type spaces defined by iterated differential operators with measurabl…
Generated abstract This paper studies nonlinear mixed boundary value problems for almost linear first order hyperbolic systems in a plane rectangle, focusing on the case where a classical solution loses regular continuability because the boundary relation becomes degenerate while the solution remains bounded. Under in…
Generated abstract This note constructs two compact Hausdorff spaces illustrating a separation between covering dimension and inductive dimensions. The first example, using Suslin’s hypothesis and the continuum hypothesis, is a completely normal bicompactum obtained from a product of a Suslin continuum with an interva…
Generated abstract This note studies the approximate construction of fixed points of continuous mappings under hypotheses related to the Brouwer, Kakutani, and Lefschetz-Hopf theorems, using numberings induced by simplicial subdivisions. It defines representative and normal simplices through vector functions associate…
Generated abstract This paper proposes a Monte Carlo algorithm for estimating the eigenvalue of largest modulus of an integral operator by iterating the resolvent rather than the operator itself. The method represents powers of the resolvent through a binomial operator expansion and expresses the required scalar produ…
Generated abstract This paper studies linearized perturbed motion in nonstationary automatic control systems whose plant and regulator parameters vary slowly and whose regulator action is represented by convolution integrals with impulse transient functions. It develops a formal asymptotic construction for particular …
Generated abstract This paper derives a simple integral of the magnetic induction equation for an incompressible dissipative plasma by comparing it with the momentum-transfer equation including viscosity and Maxwell stresses. Under the conditions of zero total-pressure gradient and equality of kinematic viscosity and …
Generated abstract This paper reports a longitudinal pumping scheme for a tunable rhodamine 6G solution laser using a prism dispersion resonator, in which the pump and lasing beams are fully superposed in the active medium while losses at optical surfaces are minimized. Experiments with rhodamine 6G in isoamyl alcohol…
Generated abstract This note formulates an optimal stabilization problem as a two-person differential game for controlled systems with an integral performance functional and opposing control components. For the linear time-varying case, it gives a necessary and sufficient condition for the existence of an optimal admi…
