| 复连通区域曲线积分与路径无关的充要条件 |
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| 引用本文： | 翟秀娜,赵艳.复连通区域曲线积分与路径无关的充要条件[J].华北航天工业学院学报,2006(4). |
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| 作者姓名： | 翟秀娜 赵艳 |
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| 作者单位： | 北华航天工业学院 基础部，北华航天工业学院 基础部 河北 廊坊 065000，河北 廊坊 065000 |
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| 摘 要： | 本文主要给出了复连通区域曲线积分与路径无关的充要条件,同时进一步讨论了当曲线积分与路径相关时,沿不同路径的积分之间的某种关系。
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| 关 键 词： | 单连通区域 复连通区域 路径 封闭曲线 曲线积分 |
Necessary and Sufficient Conditions for Path Independence of a Line Integral in a Complex Connected Region |
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| ZHAI Xiu-na ZHAO Yan.Necessary and Sufficient Conditions for Path Independence of a Line Integral in a Complex Connected Region[J].Journal of North China Institute of Astronautic Engineering,2006(4). |
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| Authors: | ZHAI Xiu-na ZHAO Yan |
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| Abstract: | In this paper we give necessary and sufficient conditions for path independence of a line integral in a complex connected re- gion and we discuss the relations of the line integrals along different paths when the line integral is depend on the path. |
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| Keywords: | simple connected region complex connected region path closed curve line integrals |
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