| 求无穷级数和以及多重积分极限的概率方法 |
| |
| 引用本文： | 徐向红.求无穷级数和以及多重积分极限的概率方法[J].大学数学,2002,18(1):105-108. |
| |
| 作者姓名： | 徐向红 |
| |
| 作者单位： | 徐州师范大学,数学系,江苏,徐州,221009 |
| |
| 摘 要： | 文 1 ]举例说明了概率思想在求无穷级数的和以及多重积分极限方面的应用 ,本文将对文 1 ]中的例 1加以推广 ,拓展这一类题的解题思路 ,并对例 2用不同的概率方法加以证明 ,从而使数学分析与概率统计的有关知识联系起来 ,达到知识的融汇贯通 .
|
| 关 键 词： | 概率 极限 无穷级数 大数定律 勒贝格控制收敛定理 |
| 文章编号： | 1007-4120(2002)01-0105-04 |
| 修稿时间： | 2000年4月11日 |
Probability Method of Acquiring the Sum of Infinite Series and the Limit of Multi-integral |
| |
| XU Xiang-hong.Probability Method of Acquiring the Sum of Infinite Series and the Limit of Multi-integral[J].College Mathematics,2002,18(1):105-108. |
| |
| Authors: | XU Xiang-hong |
| |
| Abstract: | Text illustrated the application of the probability idea in acquiring the sum of infinite series and the limit of multi-integral. This text will extend the example 1 in text , spread out the thought of solving this kink of problem, and prove the example 2 using the different probability method. Consequently, it links the related knowledge of mathematical analysis and probability statistical, thus achieves its run-through. |
| |
| Keywords: | probability limit infinite series large number law Lebesgue control constringency theroem |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
