| 多元奇偶函数重积分的简捷求法 |
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| 引用本文： | 胡小平,任全红,李元东.多元奇偶函数重积分的简捷求法[J].绵阳师范学院学报,2009,28(2). |
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| 作者姓名： | 胡小平 任全红 李元东 |
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| 作者单位： | 绵阳师范学院数学与计算机科学学院,四川绵阳,621000 |
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| 摘 要： | 从给出区域的对称性定义、多元函数在对称区域上的奇偶性定义出发,引出、证明了关于多元奇偶函数重积分的两个基本性质.并利用典型例题阐述了两个定理及推论在计算多元奇偶函数重积分中的应用.
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| 关 键 词： | 对称区域 重积分 函数的奇偶性 多元函数 |
Simplified Solution to Multivariable Integral of Multivariable Odd and Even Functions |
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| HU Xiao-ping,BEN Quan-hong,LI Yuan-dong.Simplified Solution to Multivariable Integral of Multivariable Odd and Even Functions[J].Journal of Mianyang Normal University,2009,28(2). |
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| Authors: | HU Xiao-ping BEN Quan-hong LI Yuan-dong |
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| Institution: | School of Mathematics and Computer Science;Mianyang Normal University;Mianyang;Sichuan 621000 |
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| Abstract: | According to the symmetry definition of given domain and the parity definition of multivariate functions in the symmetrical region,this paper gives out and proves two basic properties of multivariable integral of Multivariable odd and even functions.Some typical examples are presented to illustrate the applications of two theorems and corollaries in calculating multivariable integral of multivariable odd and even functions. |
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| Keywords: | symmetrical region multivariable integral parity of function multivariate function |
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