多元函数在对称区域上的积分 |
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引用本文: | 徐虎.多元函数在对称区域上的积分[J].宜宾学院学报,2007,7(6):26-28. |
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作者姓名: | 徐虎 |
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作者单位: | 泸州广播电视大学,四川,泸州,646000 |
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摘 要: | 首先给出对称性与对称点,然后给出多元函数在对称性区域上积分的几个定理及证明,并举出实例表明使用这几个定理对积分简化计算是十分有效的,再给出上述定理的一般形式.
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关 键 词: | 对称性 积分域 积分计算 |
文章编号: | 1671-5365(2007)06-0026-03 |
修稿时间: | 2007-04-09 |
Integral of Function of Many Variables on Symmetrical Region |
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Authors: | XU Hu |
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Institution: | Luzhou Broadcast and Television University, Luzhou 646000, China |
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Abstract: | First of all,the symmetry and symmetrical points are given,and then a few theorems and proofs of integral of function of many variables on the symmetrical region are followed.Examples are provided to show that the application of the theorems which is quite effective for the simplified calculation of integral.Finally a common form of the above theorems is given. |
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Keywords: | Symmetry Integral Region Integral Calculation |
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