利用对称性简化重积分的计算

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利用对称性简化重积分的计算

更新时间：2026-09-14

- 利用对称性简化重积分的计算
- 利用对称性简化重积分的计算
- Issue 2, (2005)
- 作者机构：
  
  华北工学院分院基础部,山西,太原,030008
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2005
- 稿件说明：
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寇静. 利用对称性简化重积分的计算[J]. 2005, (2).
DOI：

寇静. 利用对称性简化重积分的计算[J]. 2005, (2). DOI：

摘要

　针对如何简化重积分的计算

提出了利用积分区域的等分原理和积分变元的轮换对称性这两种方法

对表面上不具有对称性

或具有的对称因素不明显外露的情况

通过实例给出了构造对称性的方法

从而简化了重积分的计算.

Abstract

In solution for multiple integral

two kinds of methods

wherein the equipartition principle of integral interval and transferring symmetry of integral variables are utilized respectively. For some cases such as superficial dissymmetry or unobvious reveal of symmetrical factors

the Construction Symmetry method was proposed through some practical examples.

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