关于等差和等比数列的性质及其应用

对等差和等比数列这个古典代数学的基本内容作了一些较深入的探讨，得到了一系列非常有用的结果，并通过典型例题说明了它们在有关方面的应用。     

关于算术编码教学的几点注记

随着科学技术的发展,信息、通信类本科生学习信息论是十分必要的。算术编码是基于统计的、无损数据压缩效率最高的编码方法。针对算术编码教学中存在的问题,本文进一步探讨了算术编码的编码、译码过程,提出了编码过程中需要注意的问题,并将算术编码与哈夫曼编码做了比较。最后,用Matlab实现了算术编码的具体实例。     

Covariation between reading and arithmetic skills from Grade 1 to Grade 7

This study examined the extent to which reading and arithmetic skills show covariation at Grade 1 and at Grade 7, to what extent this covariation is time-invariant or time-specific, and to what extent different antecedents will predict these time-invariant and time-specific portions of the covariation. The reading and arithmetic skills of a total of 1335 Finnish children were assessed at the end of Grade 1 and then again at the end of Grade 7. Phonological awareness, letter knowledge, rapid automatized naming (RAN), counting, and parental education levels were measured in kindergarten; working memory at Grade 1 and nonverbal reasoning at Grade 3. The results showed that reading and arithmetic had a substantial amount of covariation at grades 1 and 7, and that most of the covariation between these grades was time-invariant and could be predicted by RAN, counting, letter knowledge, working memory, and nonverbal reasoning. The time-specific portion of the covariation between reading and arithmetic in Grade 1 was predicted by phonological awareness, letter knowledge, and counting; while time-specific covariation in Grade 7 was predicted by parental education level and nonverbal reasoning.     

基于可视化语言的图像表面控制

许多复杂的图像处理需要结合其他的图像处理算法才能实现,因此,主要介绍了计算机图像处理中的图像草稿效果算法,并在该算法的基础上利用VB6.0语言所提供的图像处理功能实现了图像表面的草稿效果。     

Math Fluency: Accuracy Versus Speed in Preoperational and Concrete Operational First and Second Grade Children

Cognitive abilities as well as math fluency play an important role in mathematical skills. Understanding the relationship between cognitive abilities and mathematical skills is imperative to teaching effective arithmetic skills. The present study aimed to investigate the relationship between cognitive ability and math fluency with 38 first and second grade elementary aged children. Results demonstrate that preoperational children lacked the speed of concrete operational children but achieved comparable levels of accuracy when completing arithmetic problems.     

亚式股票期权的定价及其在期股激励中的应用

亚式股票期权是当今金融衍生品市场最为活跃的新型期权之一。文章介绍了亚式股票期权的概念,讨论了亚式股票期权的定价公式及应用,并举例说明了亚式股票期权在期股激励中的应用。     

Are first graders' arithmetic skills related to the quality of mathematics textbooks? A study on students’ use of arithmetic principles

A major goal of the first years of schooling is students' development from using counting strategies to using calculation strategies – or even recall – to solve addition or subtraction problems. It requires the perception and usage of arithmetic principles. Although the continued use of counting strategies is problematic for further learning progress, they are frequently used by many students beyond Grade 1. While learning resources possibly play a role in students' development in this field, our knowledge about their impact is limited. In this study we investigated the presented learning opportunities of four different textbooks regarding arithmetic principles in Grade 1, and subsequently the relation to first graders' strategy use by analyzing a one-year dataset of 1614 students from 86 classes. The analyses show differences in the textbooks' quality concerning arithmetic principles as well as a considerable connection to students' strategy use at the end of Grade 1.     

三维散乱点的八叉树建模及程序实现

本文根据三维采样点的离散数据,用八叉树方法和与距离成反比加权法的数据插值方法重构地质体的三维模型,详细地论述了八叉树构模的程序算法,同时开发出基于VC 八叉树构模类,并嵌入电磁资料处理系统软件,为电磁资料处理的三维可视化提供了便利。     

重庆市主城区降雨侵蚀力特征分析

文章根据重庆市自建气象站以来的降雨过程资料(1954～2001)，对重庆市主城区降雨侵蚀力(R)及其特征进行了研究和分析。研究结果表明，研究区降雨侵蚀力主要集中在5月～9月，48年里研究区年降雨侵蚀力值变幅均较大，但从整体上来看，趋势保持平稳，其离差系数Cv和变化趋势系数r值分别为0.65和0.061； 研究区次降雨量与次降雨侵蚀力，月降雨量与月降雨侵蚀力均呈乘幂关系，而年降雨量与年降雨侵蚀力呈现指数关系； 为了解决在降雨资料不足的情况下对降雨侵蚀力的计算，文章利用不同的降雨资料与侵蚀力之间进行相关分析，最终确定了适合研究区的两种降雨侵蚀力简易算法。     

关于高阶等差数列的一个不变量

设｛xn｝n≥0是任意的m阶等差数列，本文证明：对任意的n≥0，（m＋1）阶行列式的值与n无关，因而是这类数列的一个不变量，并且这一结论是一般常系数齐次线性追归数列的一个普遍性质的特例．