不等式自动发现和判定程序agl2010的若干改进及应用

对不等式自动发现和判定程序agl2010进行了若干改进,扩充了程序功能,提高了运算效率;讨论了自动发现不等式过程中的若干技巧和策略;以实例的方式介绍了agl2010程序的应用.     

一类部分和乘积的重对数律

对独立同分布的正的均方可积的随机序列,证明了一类部分和乘积在适合的正则化因子下的某种重对数律,进一步丰富了概率极限理论     

应用诺特定律求解经典力学问题

诺特定律为物理学中一个非常重要的定律,其涉及的物理内涵和数学知识对本科大学生有一定的难度.本文将诺特定律应用于几个常见的经典牛顿力学问题求出各自系统的守恒量,深入浅出地演示了由诺特定律导出对称性与守恒量的关系.     

Mapping the knowledge structure exhibited by a cohort of students based on their understanding of how a galvanic cell produces energy

This study evaluates the use of an open‐ended question to determine students' knowledge structure on the topic of galvanic cells. The open‐ended question was developed and administered to 163 Grade 10 students who had earlier completed a course on electrochemistry. Students' responses were marked as well as coded on the basis of the fields identified from their responses. This was then evaluated statistically to determine the collective knowledge structure of the sample of students. The knowledge structure thus mapped contains both canonical concepts and alternative conceptions (ACs). An important finding emerging from this study is that instructors need to focus student's attention on the dynamic processes involving electrons and ions during the operation of galvanic cells. In order for students to fully understand how a galvanic cell operates, they need to see the whole picture. There are three critical components that lead to students' understanding of how an oxidation–reduction reaction can generate energy and how a circuit is complete: transfer of electrons during oxidation–reduction half‐reactions, flow of electrons within metals, and migration of ions in solution. Also, we found that it is possible for students to use correct chemistry concepts in an incorrect way by establishing linkages among these in an inappropriate manner. We reiterate that apart from evaluating students' ACs, it is also important to evaluate the links between the concepts and conceptions present in students' knowledge structure so that teaching can be made more effective.     

商品交易顾问的分类、作用及其特点

商品交易顾问作为非主流投资工具的一种,其主要作用在于可以显著地降低投资组合的风险;商品交易顾问与其他传统的和非主流投资工具相比有其独具特色的一面。近年来,商品交易顾问广受市场青睐且总体规模急剧膨胀;由此,其在世界商品期货市场中的影响也日渐提升。研究国外商品交易顾问的先进经验对我国期货市场期货投资基金的发展有着重要的借鉴意义。     

复变函数理论证明代数学基本定理的几种方法

从复变函数理论出发,利用辐角原理、最大模原理、最小模原理给出代数学基本定理的几种新的证明方法。     

任意区间上连续函数的零点定理

将闭区间上连续函数的零点定理扩展到其它区间上,得到若干个相应区间上连续函数的零点定理,从而使零点定理理论更完善、应用更广泛.     

基于神经网络的垃圾邮件过滤

垃圾邮件的过滤是一个具有重要现实意义的课题．将交叉覆盖学习算法和向量空间模型等技术相结合可得到一种新的垃圾邮件过滤方法．实验结果表明该方法识别率较高，具有较强的实用价值．     

Weibull分布下双应力交叉步加试验的逆矩估计法

论述了Weibull分布下双应力交叉步加试验的时间折算公式及数据统计分析的逆矩估计法。     

变质量非完整Vacco动力学系统的积分因子和守恒定理

提出了动力学系统守恒定律构成的一般途径。首先，给出运动微分方程积分因子的定义，详细地研究了守恒量存在的必要条件．其次，建立了变质量非完整Vacco动力学系统的守恒定理及其逆定理．最后，举例说明结果的应用。