三角B-B曲面在非结构网格生成中的应用

基于生成非结构化网格的Delaunay三角形化方法,应用三次三角Bernstein-Bézier曲面来控制网格点的分布情况。对于给定边界,利用三次非均匀B样条进行边界的拟合及重新离散。对初始化形成的Delaunay三角形,应用三次三角Bernstein-Bézier曲面来计算位于其中的点的长度标尺,通过对三角Bernstein-Bézier曲面边界点的定义来控制三角形内长度标尺的分布。对复杂通道网格剖分的实例表明,此方法可以很好地控制内部网格点的分布情况。     

Model and empirical study on some collaboration networks

In this paper we present an empirical study of a few practical systems described by cooperation networks, and propose a model to understand the results obtained. We study four non-social systems, which are the Bus Route Networks of Beijing and Yangzhou, the Travel Route Network of China, Huai-Yang recipes of Chinese cooked food, and a social system, which is the Collaboration Network of Hollywood Actors. In order to explain the results related to the degree distribution, act-degree distribution and act-size distribution (especially about the degree distribution, which may be better fitted using a stretched exponential distribution (SED)), we suggest a simple model to show a possible evolutionary mechanism for the emergence of such networks. The analytic and numerical results obtained from the model are in good agreement with the empirical results.     

A note on the kernel of the\bar \partial -Neumann operator on strongly pseudo-convex domains

In this paper, we discuss the relations between a special Heisenberg coordinate system and a normalized Levi metric on strongly pseudo-convex domains in Cⁿ and see how they are related to the -Neumann operator.Work supported by MSRI, Berkeley, California.     

L-半胱氨酸自组装膜电极上锌离子的电化学行为及分析应用

锌是人体必需的微量元素 ,也是金属酶的组成部分和酶的激活剂 ,目前已知有 80多种酶的活性与锌的存在有关 ,因此研究锌在生物分子 (如Ｌ 半胱胺酸 )自组装膜结构中的电化学行为 ,对于研究和了解生物体内生命物质的电子转移及生命现象的本质具有重要意义。本文研究Ｚｎ2 +在Ｌ 半胱氨酸自组装修饰金电极[1～3] ,Ｃｙｓ/ＳＡＭ/Ａｕ上的电化学行为 ,建立了测定Ｚｎ2 +浓度的新方法 ,用于人体发样中痕量Ｚｎ2 +的测定 ,与目前所报道的锌的测定方法[4] 相比 ,具有快速、准确、灵敏度高等特点。1　实验部分1 1　仪器与试剂ＣＨＩ660型电化学工作…