| 基于黎曼积分的同分布原理及应用 |
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| 作者姓名： | 李柱恒 颜毅华 元鲁 宋国乡 |
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| 作者单位： | 1. 西安电子科技大学理学院, 西安 710071;
2. 中国科学院国家天文台, 北京 100012;
3. 广西民族学院计算机与信息科学学院, 南宁 530006 |
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| 基金项目： | 国家科技部973项目(G2000078403);国家自然科学基金项目(10225313)资助 |
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| 摘 要： | 颜毅华和樱井2000年在太阳物理杂志上发表一文,他们采取引入满足一定条件的局部参数λ来替代无力因子α的方法,针对太阳光球外围开放空间的非常α无力场模型,提出了一个边界积分方程表示.李柱恒等人在2004年发表于英国皇家天文学月刊的文章中,研究该边界积分方程的性质,遇到了一类重要奇异曲面积分.为了计算这类积分,本文在黎曼积分理论中引入同分布概念,建立同分布原理,并给出它的某些重要应用.
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| 关 键 词： | 黎曼积分 同分布 同分布原理 |
| 收稿时间： | 2004-04-26 |
| 修稿时间： | 2004-08-09 |
Same Distribution Principle Based on Riemann-Integral and its Some Applications |
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| Authors: | LI Zhu-Heng YAN Yi-Hua YUAN Lu SONG Guo-Xiang |
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| Institution: | 1. School of Science, Xidian University, Xian 710071, China;
2. National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100 012, China;
3. School of Computer and Information Science, Guangxi University for Nationaliti es, Nanning 530006, China |
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| Abstract: | A boundary integral equation representation for the non-constant-αforce-free field in the exterior of the sun can be found in Yan &Sakurai (2000),where a local parameter λinstead of the force-free factor αhas been introduced which should satisfy a proposed condition.The property of boundary integral equation presented by Yan has been discussed in Li, Song &Yan (2004), where a kind of important singularity surface integration can be found.In order to calculate this kind of integration, in this paper,we present a concept of the same distribution to Riemann-integral, build the same distribution principle and give some important applications of it. |
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| Keywords: | Riemann-integral same distribution same distribution principle |
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