节点文献
数学分析中一些等式的概率方法证明
Probability Method Proof of Some Equalities in Mathematical Analysis
【摘要】 证明数学分析中等式和极限式的方法多种多样,通过对几个具体例子的证明来说明构造概率模型证明一类等式和极限式的概率方法,这样把概率论的知识与其他数学分支,高等数学与初等数学联系起来,从而拓宽了解题思路,显示出概率方法在应用上的广泛性和优越性.
【Abstract】 There are many various ways to prove equalities and limit equations. This paper provides the proof of some equalities and limit equations by the ways of constructing probability model; thus relevant knowledge in probability theory and other branches of mathematics, and relevant knowledge in higher mathematics and elementary mathematics are connected; and the ways for solving the problems of this sort are enriched. The extension and superiority of probability methods in application are showed.
【关键词】 概率模型;
等式;
概率方法;
随机变量;
【Key words】 probability model; equation; probability method; random variable;
【Key words】 probability model; equation; probability method; random variable;
【基金】 三峡大学学院科研启动基金项目(KJD0301)
- 【文献出处】 三峡大学学报(自然科学版) ,Journal of University of Hydraulic and Electric Engineering/yichang , 编辑部邮箱 ,2005年03期
- 【分类号】O211.9
- 【被引频次】5
- 【下载频次】774