清华山维在地形图等高线自动生成中的应用

介绍了基于不规则三角网的等高线自动生成的原理,在此基础上论述了清华山维如何在实际工作中通过勾画地性线和手工修改三角网来实现等高线的自动生成。     

基于Google Maps的专家地图研究

基于Google Map API实现某一领域专家地域分布的可视化,构建领域专家地图。该地图是基于知识网络的专家库系统的核心模块,     

M-矩阵的等价表征

本文引进强α－对角占优阵的概念，给出了Ｍ－矩阵的两种等价表征．     

量子代数的表示

对Andersen的量子代数表示一文[1]中两个重要命题的证明和补充．     

测量轮廓单峰间距和轮廓微观间距

讨论了轮廓微观不平度平均间距Sm和轮廓单峰平均间距S参数的概念，阐述及测量表面粗糙度间距参数Sm、S的探针法、光切法、干涉法和照相法．分析四种方法的长处与欠缺，提出了如何选择测量方法的几点建议．     

Murphy's Law of Maps

Using probability theory, I show that the “urban myth” that map locations tend to lie on the edges or down the central crease is based in fact.     

四元数矩阵的线性表示

分别给出了四元数矩阵的一种新的复表示矩阵以及广义四元数矩阵的线性表示.     

连续映射的拓扑度(续)

§5 局部拓扑度 §4讨论了n维球面S~n到自身的连续映射的拓扑度,显然研究的连续映射类是不够广泛的,而在实际上碰到的连续映射类远比这种连续映射类广泛得多。为了对一类比较广泛的连励映射类也有拓扑度的理论,所以我们在下面引进局部拓扑度的概念,这是分析学者感兴趣的。很多分析数学文献上研究的拓扑度就是这种局部拓扑度。为了保持前后一致,我们仍用代数拓扑的方法来研究。基本思路是用球面到自身的连续映射的拓扑     

基于内外部表征的数学高考应用题分析

在数学应用题的解决过程中,学生对问题表征方式的不同将影响学生对解题策略的选择.表征分为内部表征与外部表征,外部表征对应用题解决的影响因素包括文字表征、符号表征、图表表征、背景表征等;内部表征对应用题解决的影响因素包括概念表征、命题表征、概念图表征以及图式表征等.两种表征具有不同的结构及特征,对应用题的解决具有不同的机制,通过内外部表征两个方面对高考数学应用题的分析,认识内外部表征对应用题解决的具体作用.     

双语大脑词库表征模式的探究

双语大脑词库的表征模式是共同表征还是独立表征,母语和二语词库的语义连接模式是怎样的,以及二语词库提取的语义表征和语音表征模型是大脑词库研究的中心问题。本文通过回顾大脑词库研究的相关理论,认为大脑词库的研究必须考虑双语词库的发展过程,以科学的研究方法探索大脑词库的存储和提取机制。     

Reading Angles in Maps

Preschool children can navigate by simple geometric maps of the environment, but the nature of the geometric relations they use in map reading remains unclear. Here, children were tested specifically on their sensitivity to angle. Forty‐eight children (age 47:15–53:30 months) were presented with fragments of geometric maps, in which angle sections appeared without any relevant length or distance information. Children were able to read these map fragments and compare two‐dimensional to three‐dimensional angles. However, this ability appeared both variable and fragile among the youngest children of the sample. These findings suggest that 4‐year‐old children begin to form an abstract concept of angle that applies both to two‐dimsional and three‐dimensional displays and that serves to interpret novel spatial symbols.     

一致幂群的置换表示

研究了群G上一致幂群的运算性质，通过群G^ 在幂群上的作用，给出了一致幂群的置换表示及矩阵表示。     

Drawings as Representations of Children's Conceptions

Drawings are often used to obtain an idea of children's conceptions. Doing so takes for granted an unambiguous relation between conceptions and their representations in drawings. This study was undertaken to gain knowledge of the relation between children's conceptions and their representation of these conceptions in drawings. A theory of contextualization was the basis for finding out how children related their contextualization of conceptions in conceptual frameworks to their contextualization of drawings in pictorial convention. Eighteen children were interviewed in a semi‐structured method while they were drawing the Earth. Audio‐recorded interviews, drawings, and notes were analysed to find the cognitive and cultural intentions behind the drawings. Also, even children who demonstrated alternative conceptions of the Earth in the interviews still followed cultural conventions in their drawings. Thus, these alternative conceptions could not be deduced from the drawings. The results indicate that children's drawings can be used to grasp children's conceptions only by considering the meaning the children themselves give to their own drawings.     

Number Representations Drive Number-Line Estimates

The number-line task has been extensively used to study the mental representation of numbers in children. However, studies suggest that proportional reasoning provides a better account of children’s performance. Ninety 4- to 6-year-olds were given a number-line task with symbolic numbers, with clustered dot arrays that resembled a perceptual scaling task, or with spread-out dot arrays that involved numerical estimation. Children performed well with clustered dot arrays, but poorly with symbolic numbers and spread-out dot arrays. Performances with symbolic numbers and spread-out dot arrays were highly correlated and were related to counting skill; neither was true for clustered dot arrays. Overall, results provide evidence for the role of mental representation of numbers in the symbolic number-line task.     

马克思主义中国化与"三个代表"

马克思主义中国化是一个漫长的历史过程 ,它在不同的历史时期具有不同的中国化主题 ,“三个代表”重要思想是马克思主义理论宝库中有关党的建设和发展理论中国化的产物 ;理论创新是马克思主义中国化的实质 ,“三个代表”重要思想的产生 ,是以江泽民为核心的党的第三代领导集体紧密结合世纪之交的中国实际不断进行理论创新的结果 ;马克思主义中国化的目的是为了更有效地指导中国实践 ,“三个代表”重要思想的产生 ,必将为新时期有中国特色社会主义建设事业带来新的生机。     

Google Maps二次开发

WEB GIS应用逐渐普及,但独立开发和运营WEBGIS系统对中小企业负担太重。在开放的GooSeMaps平台进行具体的行业应用开发既经济又可行。文章讨论基于GooSemapAPI使用DOM自定义GMAP类开发企业WEBGIS。