| 重积分计算中的对称性定理及应用 |
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| 引用本文： | 程黄金,陈伟. 重积分计算中的对称性定理及应用[J]. 中国科技信息, 2006, 0(7): 286-287 |
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| 作者姓名： | 程黄金 陈伟 |
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| 作者单位： | 淮南联合大学,232001 |
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| 摘 要： | 利用积分区域的对称性和被积函数的奇偶性可以简化二重积分和三重积分的计算,为此,给出基本的、常用的对称性定理,并赋予严格的证明和应用实例.再在此基础上将其推广,使得对称性定理更具有一般性,进而也扩大了它的适用范围.
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| 关 键 词： | 重积分 对称性定理 应用 |
The Symmetry Theorem and Application on Double Integral Calculation |
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| Cheng Huang-jin,Chen Wei. The Symmetry Theorem and Application on Double Integral Calculation[J]. CHINA SCIENCE AND TECHNOLOGY INFORMATION, 2006, 0(7): 286-287 |
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| Authors: | Cheng Huang-jin Chen Wei |
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| Affiliation: | Huainan Union University 232001 |
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| Abstract: | Calculation of double integral and triple intergral can be simplified by symmetry of integral area and integrand. A basic symmetry theorem on integral calculation is derived. As application of this theorem, several examples are given. Furthermore we generalize the theorem, and give a new criterion for symmetry integral calculation. |
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| Keywords: | double integral symmetry theorem application |
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