| 概率思想在计算实无穷积分中的应用 |
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| 引用本文： | 罗志环,黎永耀,方奕忠.概率思想在计算实无穷积分中的应用[J].甘肃联合大学学报(自然科学版),2006,20(6):27-28,31. |
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| 作者姓名： | 罗志环 黎永耀 方奕忠 |
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| 作者单位： | 1. 华南农业大学,理学院应用物理系,510642;中山大学,物理系,510275
2. 中山大学,物理系,510275 |
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| 摘 要： | 将概率的基本思想,应用在计算实无穷积分中,结果表明该方法与小圆弧引理相比,计算更为方便简单、适用范围更为广泛.文章分三部分:首先讲述小圆弧引理及其局限性;接着介绍概率基本思想在计算实无穷积分中的应用及其优越之处;最后是总结我们的工作并展望未来的工作.
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| 关 键 词： | 概率 实无穷积分 小圆弧引理 留数理论 |
| 文章编号： | 1672-691X（2006）06-0027-03 |
| 收稿时间： | 2006-08-21 |
| 修稿时间： | 2006年8月21日 |
Computing the Real Infinite Integrals with the Idea of Probability |
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| LUO Zhi-huan,LI Yong-yao,FANG Yi-zhong.Computing the Real Infinite Integrals with the Idea of Probability[J].Journal of Gansu Lianhe University :Natural Sciences,2006,20(6):27-28,31. |
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| Authors: | LUO Zhi-huan LI Yong-yao FANG Yi-zhong |
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| Abstract: | To apply the basic idea of probability to the computing of real infinite integrals,to find that this method is more simple,convenient and widely used than the Small Arc Lemma.This paper is organized as following: Firstly the Small Arc Lemma and its shortcomings are introduced.Secondly we will talk about the computing of real infinite integrals using the basic idea of probability and its advantages.The final part is our conclusions and outlooks. |
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| Keywords: | probability real infinite integrals Small Arc Lemma Residue Formula |
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