钙钛矿型结构亚硝酸盐和氰化物的分子体积

绝大部分的亚硝酸盐和氰化物属于钙钛矿型结构,但有部分化合物为“反”钙钛矿型结构,充填空洞A位的阳离子的拓扑体积为0。阴离子团NO2-和CN-的拓扑体积都近乎常数,分别为41.73Å3和40.03Å3,标准方差σn-1=1.516和σn-1=1.25。由此,进一步证明了原来的一套离子拓扑体积数值的普适性。“反”钙钛矿型结构中A位阳离子的平均半径rA>1.00Å时,三价阳离子会产生扩容效应,其扩容系数大约是其本身拓扑体积的2倍;正钙钛矿型结构中,当A位是由半径较大的Cs+充填时,Cs+也会产生扩容效应,其扩容系数约为24Å3。氰化物中结晶水分子的拓扑体积近乎常数,为24Å3或0。     

均匀介质中散射过程的奇性分析

本文比较详细地讨论和分析了均匀介质中零偏移距散射曲面拓扑奇性和相应回波解析奇性之间的关系和分类.其基础是衍射理论的Kirchhoff积分,原理是通过曲面几何函数的解析奇性和距离函数的拓扑奇性之间的联系.基本的数学工具是Morse理论和突变理论.     

基于点集拓扑学的三维拓扑空间关系形式化描述

本文阐明了研究空间关系理论的必要性，分析了拓扑空间关系描述方法的研究进展及存在问题，以点集拓扑理论为基础，运用维数扩展的方法，提出三维拓扑空间关系完善和形式化的描述框架，在此基础上，对三维空间目标中存在着的拓扑空间关系进行了分类，定义了五种基本的拓扑空间关系，并且给出了三维拓扑空间关系最小集的互斥性与完备性证明。     

从栅格数据直接建立拓扑关系的算法研究

本文提出了从栅格数据直接建立拓扑关系的思想,用跟踪过程中容易获得的拓扑信息来优化拓扑生成的算法模型,借以提高拓扑生成的效率。本文还提出用连通性区域填充的方法处理各种任意复杂岛的思想。     

可视化平差软件的设计与开发

笔者依据科学计算可视化的思想，设计并开发了一套可视化平差软件。实践表明：该软件具有数据输入方便、容错及纠错能力强、可编辑控制网的拓扑关系、图形属性一体化管理、成果报告美观大方、内容丰富且查阅方便等优点。     

均匀介质中散射过程的奇性分析

本文比较详细地讨论和分析了均匀介质中零偏移距散射曲面拓扑奇性和相应回波解析奇性之间的关系和分类.其基础是衍射理论的Kirchhoff积分,原理是通过曲面几何函数的解析奇性和距离函数的拓扑奇性之间的联系.基本的数学工具是Morse理论和突变理论.     

A comparative analysis of some two-dimensional orderings

Abstract

Many spatial analysis algorithms for cellular representations and data structures are based on an ordering of cells or objects to transform a two-dimensional problem to a one-dimensional one. Several orderings are available and their differing properties influence the performance of the data structures and algorithms. The relative merits of five orderings (row, row prime, Hilbert, Morton and Gray code) are assessed empirically for four paradigmatic geographical data-processing tasks in spatial analysis and data management. It is concluded that the Hilbert ordering deserves further investigation.     

Street‐based topological representations and analyses for predicting traffic flow in GIS

It is well received in the space syntax community that traffic flow is significantly correlated to a morphological property of streets, which are represented by axial lines, forming a so called axial map. The correlation co‐efficient (R ²) approaches 0.8 and even a higher value according to the space syntax literature. In this paper, we study the same issue using the Hong Kong street network and the Hong Kong Annual Average Daily Traffic datasets, and find surprisingly that street‐based topological representations (or street–street topologies) tend to be better representations than the axial map. In other words, vehicle flow is correlated to a morphological property of streets better than that of axial lines. Based on the finding, we suggest the street‐based topological representations as an alternative GIS representation, and the topological analyses as a new analytical means for geographic knowledge discovery.     

Robust algorithms for polyhedral modelling of fractured rock mass structure

This paper presents robust algorithms for application in polyhedral modelling of rock mass structure based on discrete fracture networks. The algorithms improve the robustness of current polyhedral modellers to challenging or degenerate geometries and geometrical errors. These issues are inevitably encountered when the fracture network realisations incorporate large numbers of fractures, or regions of densely packed fractures are modelled, or when the number of fracture network realisations interrogated is large. Several stages in the polyhedral modelling process which are sensitive to geometrical errors are reviewed and algorithms which are robust and capable of handling topological errors in the input fracture network geometry are presented.     

高性能集群计算系统的构建

高性能集群计算系统因其具有强大的运算能力、 较高的I/O性能、 高性能管理和较强的系统扩展能力而广受关注。 本文简要介绍了高性能计算的发展现状和高性能集群计算系统构成, 比较详细地描述了系统环境、 系统性能及集群管理与应用情况, 对高性能计算的新技术进行展望。 并以一个实例阐述了集群系统构建等内容。 该系统由192个计算节点、 4个I/O节点、 1个登录节点、 1个管理节点、 1个Windows集群服务节点、 1组盘阵、 1组计算与I/O网络和1组管理网络组成。 系统计算能力在2009年和2010年中国高性能计算机性能TOP100排行榜分别为第36位和第63位, 具有相当的竞争力, 能够在近几年内为地震科研提供有力支持。