关于单叶Bloch常数

用B表示单叶Bloch常数。本文给出了B的新下界:B>0.57088.     

Banach space properties sufficient for normal structure

In this paper we establish lower bounds for the weakly convergent sequence coefficient WCS(X) of a Banach space X, in terms of some well known moduli and coefficients. By mean of these bounds we identify several properties, of geometrical nature, which imply normal structure. We show that these properties are strictly more general than other previously known sufficient conditions for normal structure.     

On Hilbert's type inequalities

By introducing two pairs of conjugate exponents and estimating the weight coefficients, we give generalizations of some Hilbert's type inequalities with the best constant factor. As applications, some particular results are considered.     

Approximation of finite-section equations by piecewise constant functions

The problem is studied of reducing the amount of discrete information required for achieving a prescribed accuracy of solving Fredholm integral equations of the first kind on a half-line. The equations are solved by the finite-section method combined with piecewise constant interpolation of the kernel and the right-hand side at uniform grid points. The approximating properties of the discretization schemes are examined, and the corresponding computational costs are analyzed.     

Ab initio study of long-range electron transfer between biphenyl anion radical and naphthalene

After the separation of the donor, the aeceptor, and the σ-type bridge from the π-σ-π system, the geometries of biphenyl, biphenyl anion radical, naphthalene, and naphthalene anion radical are optimized, and then the reorganization energy for the intermolecular electron transfer (ET) at the levels of HF/4-31G and HF/DZP is calculated. The ET matrix elements of the self-exchange reactions of the π-σ-π systems have been calculated by means of both the direct calculation based on the variational principle, and the transition energy between the molecular orbitals at the linear coordinate R=0.5. For the cross reactions, the ET matrix element and the geometry of the transition state are determined by searching the minimum energy splitting △_(min) along the reaction coordinate. In the evaluation of the solvent reorganization energy of the ET in solution, the Marcus' two-sphere model has been invoked. A few of ET rate constants for the intramolecular ET reactions for the π-σ-π systems, which contain     

扩散与外界干扰对生物资源的影响

通过对一类具有扩散和外界干扰的生态系统的研究，获得了该系统正平衡态局部稳定和全局稳定的几个条件，这些结果表明了扩散和外界干扰对生物资源有非常重要的影响。     

SF6的单取代和二取代物中^2JFF的半经验计算

运用最大键级杂化轨道这一计算方法，计算并拟合得到单取代和二取代的ＳＦ６衍生物中＾２ＪＦＦ的具体计算公式，由新公式得到的计算值与实验值基本吻合。     

彩电开关电源的改进方法

分析了彩电开关电源的不足，并提出了改进的措施。     

Study on response time of SPE carbon monoxide sensor

The influence of structural design and the parameters of the working electrode on the response time of a solid polymer electrolyte (SPE) carbon monoxide sensor has been studied. Results show that the response time is mainly determined by the RC time constant of the catalyst layer and also related with the working electrode potential. Foundation item: Supported by the National Natural Science Foundation of China (107880233) Biography: Yang Jing (1972-), female, lecturer, reseorch direction: electrochemical sensors.