Translated papers from the Chinese Preprint site, Chinaxiv
Showing 50 of 15526 papers
Generated abstract This paper reports an experimental observation of electric gyrotropy, the rotation of the polarization plane of light in a crystal under an external electric field, with attention to the role of spatial dispersion in the dielectric response. The author develops the phenomenological form of the relev…
Generated abstract The paper studies orthonormal systems in real Banach spaces, using differentiability of the norm to relate orthogonality of vectors to the corresponding supporting functionals. For smooth Banach spaces, whose norms and dual norms are Gâteaux differentiable, it proves that every orthonormal system is…
Generated abstract The paper addresses whether extremally disconnected spaces, equivalently certain complete Boolean algebras via duality, must admit nonidentity self-homeomorphisms when compactness assumptions are varied. Using properties of absolutes, irreducible perfect mappings, and cardinal invariants such as wei…
Generated abstract This paper presents calculations of stellar opacity for astrophysical mixtures with photon absorption in spectral lines included alongside photoionization, bremsstrahlung absorption, and scattering. The authors use a Thomas-Fermi based self-consistent potential to compute electron states, occupation…
Generated abstract This paper examines the transverse stability of solitary wave solutions of the Korteweg-De Vries equation in weakly dispersive media when the soliton phase and amplitude vary slowly across the direction of propagation. Using a perturbative treatment for weak curvature and long transverse wavelengths…
Generated abstract This paper studies the ill-posed problem of solving Stieltjes-type integral equations with a bounded continuous kernel when the unknown solution is known a priori to be bounded and nondecreasing. Using compactness arguments based on Helly’s theorem and uniqueness on the monotone class, the authors p…
Generated abstract The paper derives an analogue of the Boltzmann kinetic equation for a classical system of many particles governed by quasicanonical equations that include non-Lagrangian forces, such as friction. Using Bogolyubov’s hierarchy for correlation functions, a virial expansion in inverse specific volume, e…
Generated abstract The paper studies topological spaces defined by generalized distance functions, especially continuous, weakly continuous, and semicontinuous o-metrics, symmetric o-metrics, and Delta-metrics. It formulates analytic conditions on these functions and proves several metrization and structural results, …
Generated abstract The paper addresses the construction of coding systems for channels with asymmetric distortions, including errors modeled by nonnegative modular noise, and relates this problem to an additive combinatorial problem on distinct nonzero sums modulo an integer. It develops algebraic identities for symme…
Generated abstract This note studies a singular boundary value problem for an nth order ordinary differential equation with initial conditions at one endpoint up to order n minus 2 and one additional derivative condition at the other endpoint. The coefficient function is allowed to have nonintegrable singularities at …
Generated abstract This paper studies random binary tables and the asymptotic behavior of dead-end tests, understood as minimal sets of columns that distinguish all rows. It derives estimates for the probability that a selected set of columns is a dead-end test and uses them to obtain asymptotic formulas for the expec…
Generated abstract The paper studies completely regular Hausdorff spaces whose bicompact remainders have finite Iséki order, with emphasis on the classes defined by iterated sets of points of nonlocal bicompactness. It establishes structural and mapping properties for these classes, including behavior under open subse…
Generated abstract This paper estimates vertical gradients of longitudinal elastic-wave velocity beneath the Mohorovičić discontinuity using amplitude curves of first arrivals from deep seismic sounding in the western Black Sea and the Arabian, Indian Ridge rift zone. By comparing observed bottom-seismograph amplitude…
Generated abstract The paper studies the oscillation problem for sequences of Fejér sums of periodic functions in the classes whose derivatives up to order p satisfy the stated smoothness and boundedness conditions, as well as for the corresponding conjugate sums. It determines extremal functions for the least upper b…
Generated abstract The paper proposes a regional classification of the curvature tensor in four-dimensional Riemannian space using principal congruences and reference systems determined by timelike vector fields. It reformulates the Petrov classification through the splitting of the Weyl tensor into chronometrically i…
Generated abstract This note develops a group algebra of analytic functionals on a complex Lie group, defining convolution on the strong dual of the space of holomorphic functions and proving that it forms a continuous associative algebra. It relates this algebra to hyperenveloping algebras, measure algebras, and alge…
Generated abstract The paper proves an eigenfunction expansion theorem for a non-self-adjoint Schrödinger operator in three-dimensional space with a complex exponentially decaying potential. The argument uses meromorphic continuation and estimates of the resolvent kernel, contour integration in the spectral parameter,…
Generated abstract This paper reports the excitation and detection of hypersound in quartz in the millimeter radio range using conversion between a slow surface electromagnetic wave and acoustic waves in a piezoelectric crystal. The authors describe a slow-wave comb structure operated at liquid helium temperature and …
Generated abstract The paper studies a linear system of ordinary differential equations with summable coefficients subject to general integral boundary conditions, including two-point and multipoint cases. It proposes a variant of the sweep method that avoids solving the homogeneous Cauchy problem directly, instead so…
Generated abstract This paper extends Leray and Schauder degree theory to a class of continuous mappings in real Hilbert space called almost-monotone mappings, including sums of strictly monotone and completely continuous mappings. It defines the class, establishes compactness and stability properties, and constructs …
Generated abstract The crystal structure of tetracalcium trihydrotrialuminate, formed in hydrothermal synthesis and during hardening of alumina cements at elevated temperatures, is determined from single-crystal X-ray diffraction data. Transparent rhombic crystals were examined by diffractometry, yielding an orthorhom…
Generated abstract This paper studies criteria for the existence of nilpotent and supersolvable subgroups of prescribed order in finite groups, using invariant series, index series, and arithmetic conditions on sequences of indices. Extending earlier results on groups whose Sylow subgroups are invariant, it introduces…
Generated abstract This paper examines coherent interactions of 60 GeV negative pions with emulsion nuclei, focusing on three-prong and five-prong events observed in BR-2 nuclear photoemulsion. The authors select candidate coherent events using angular, energy-balance, and four-momentum-transfer criteria, determine se…
Generated abstract This paper develops several inequalities relating the Lévy distance between distribution functions to their characteristic functions and to weighted metrics. It proves a general smoothing inequality with an explicit truncation term, a broader bound using an auxiliary compactly supported distribution…
Generated abstract This paper gives a topological analogue of a theorem of Rokhlin on measure-preserving transformations, for homeomorphisms of separable metric spaces considered modulo sets of the first category. It proves that such a homeomorphism has a disjoint generator precisely when its set of periodic points is…
Generated abstract This paper estimates the damping of the Earth’s low-degree spheroidal free oscillations using a perturbation theory previously developed for spheroidal modes and a Gutenberg-Bullen A Earth model. Assuming dissipation occurs only through shear processes in the mantle and neglecting core dissipation, …
Generated abstract This note studies the construction of cubature formulas that are asymptotically close to optimal without depending on a particular choice of function space. After formulating optimality through the norm of the error functional, it defines universal asymptotic optimality for classes of weighted Sobol…
Generated abstract This paper reports experiments on capillary motion of mercury drops in hydrochloric acid under short-duration weightlessness produced by dropping a container. A flattened mercury drop was observed to contract after the onset of weightlessness, detach from the vessel bottom, and undergo damped oscill…
Generated abstract This paper develops a similarity and dimensional analysis theory for estimating large-scale atmospheric circulation on terrestrial planets without requiring detailed numerical modeling or prescribed temperature contrasts. Treating the atmosphere as gray and using solar energy input, heat capacity, p…
Generated abstract This paper studies estimation of a one-dimensional shift parameter from an independent sample with distribution function F(x minus theta), focusing on the admissibility of the sample mean under polynomial loss functions of the squared estimation error. It proves that, assuming F has two continuous d…
Generated abstract The paper studies stability in the spatial three-body problem for two planets in canonical variables, with particular attention to the behavior of the slowly varying action variables near resonance lines where integer combinations of mean motions vanish. Using a generalized form of Lyapunov’s second…
Generated abstract The paper extends V. V. Novozhilov’s method of complex transformation from the Kirchhoff Love thin shell theory to the linear theory of elastic shells of Timoshenko type, in which transverse shear deformations are included. Starting from the kinematic, equilibrium, constitutive, and compatibility re…
Generated abstract This note studies when elements of homotopy groups of classical Lie groups and homogeneous spaces can be represented by totally geodesic spheres, relating minimal submanifold constructions to homotopic data. Using Bott periodicity for unitary and orthogonal groups, together with explicit sphere embe…
Generated abstract This paper analyzes energy absorption in pure KCl crystals using the concept of residual ionization potential, together with atomic ionization potentials, electron affinities, exciton levels, and virtual levels. The author calculates band and defect-related transition energies for neutral and ionize…
Generated abstract This paper evaluates the geoenergetic role of geochemical transformations in the Earth’s crust and addresses claims that such processes are a principal source of deep heat. Using standard enthalpies of mineral formation, the authors estimate the thermal effects of representative hypergene, epigeneti…
Generated abstract This paper develops necessary optimality conditions for control systems with aftereffect, where the dynamics are defined by functionals depending on past state and control histories. Using an auxiliary adjoint function and a functional analogue of the Hamiltonian, it derives an increment formula for…
Generated abstract This paper examines bifurcations of one-dimensional point transformations, distinguishing internal and external bifurcations and classifying internal stability changes by characteristic roots passing through plus one or minus one. It develops a parametric diagram method in which curves of fixed poin…
Generated abstract This study examines the incorporation of tungsten and gallium impurities into synthetic quartz grown from weakly acidic fluorine-containing aqueous solutions, a medium in which these elements enter more readily than in alkaline growth systems. Quartz crystals doped with tungsten or gallium were anal…
Generated abstract This paper develops a mathematical model for dynamic buckling of a finite thin circular cylindrical shell subjected to a localized axisymmetric thermal shock near one end. The formulation couples one-dimensional thermoelastic equations for temperature and axial displacement with geometrically nonlin…
Generated abstract This note extends earlier results on R and Rc operations from countable to uncountable systems of sets, using branching tables of strongly inaccessible cardinal rank and two branching hypotheses related to rank attainment and large disjunctive subsets. It formulates equivalent forms of these hypothe…
Generated abstract This paper studies an infinite horizon two player linear differential game in which the state satisfies a controllable linear system and the payoff is a quadratic functional, with one player minimizing and the other maximizing. It formulates admissibility in terms of square integrability of the stat…
Generated abstract This paper examines variable-structure automatic control systems in which the control law uses internal system coordinates, a technique that can avoid repeated differentiation of the error signal but may make the sliding hyperplane and transient dynamics sensitive to plant parameter variations. The …
Generated abstract This paper develops variational theorems for several classes of analytic functions in circular annuli, aimed at reducing extremal problems for differentiable systems of complex-valued functionals to finite-parametric families of boundary functions. Using structural integral representations and earli…
Generated abstract The paper studies the entropy change produced by mixing two equal amounts of identical polarized gases whose internal spin states are described by arbitrary density matrices of spin s. Using the von Neumann entropy for mixed quantum ensembles, it derives a general expression for the entropy of mixin…
Generated abstract The paper develops a method for determining limiting characteristics and capacities of linear information systems with feedback and internal interference, such as reproduction or tracking systems. Assuming stationary Gaussian input signal, external noise, and internal disturbance with known spectral…
Generated abstract This paper studies a boundary value problem for a second order mixed type equation in a three dimensional domain divided by the plane where the coefficient changes sign. Weak solutions are defined by duality in Sobolev spaces, and the argument derives a priori estimates for the adjoint test function…
Generated abstract The paper studies bicompactness and completeness of topological spaces through systems of canonical closed sets and their relation to the theory of absolutes. It introduces H-systems and H-ends, proves a criterion stating that a regular space is bicompact exactly when every H-system has nonempty int…
Generated abstract This note proves that a homeomorphic correspondence between convex surfaces that preserves the variation of turn of every curve must be a similarity. The argument first shows that preservation of turn variation determines angles between arbitrary curve directions, hence the correspondence is conform…
Generated abstract The paper extends Lyapunov’s transfinite R-process for Delta-Sigma operations from chains of depth omega to full chains of depth omega_nu over systems of sets of strongly inaccessible cardinality tau. It defines omega_nu-conjunctive and disjunctive extensions, associated R and T operations, derivati…
Generated abstract This study examines how the structural nature of initial carbon materials affects catalytic diamond synthesis under high pressure and temperature. Using carbyne, graphitizing and non-graphitizing polymer cokes, and several carbon blacks, the authors compare diamond yields, electrical-resistance kine…
