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积分对称性及其在简化积分计算中的应用
引用本文:朱莉.积分对称性及其在简化积分计算中的应用[J].南通职业大学学报,2010,24(4):78-81.
作者姓名:朱莉
作者单位:南通职业大学基础课部,江苏南通226007
摘    要:将各种积分统一划分为无方向积分和有方向积分两类,并以简洁的形式分别归纳出这两类积分的对称性结论,同时建立了交换对称性的相关理论;通过示例阐述了各种对称性在积分计算中的应用,并提供了创设对称性条件的方法,指出利用对称性简化积分计算时保证对称性匹配是其关键所在。

关 键 词:积分  对称性  积分计算  交换对称性

The Symmetry of Integral and Its Application in Calculation
ZHU Li.The Symmetry of Integral and Its Application in Calculation[J].Journal of Nantong Vocational College,2010,24(4):78-81.
Authors:ZHU Li
Institution:ZHU Li(Department of Basic Courses,Nantong Vocational College,Nantong 226007,China)
Abstract:In this paper,various integrals are divided into two categories of no direction integrals and direction integrals.It summarizes the symmetry conclusion of these two types of integral in a concise form,and establishes the theory of exchange symmetry.The application technology of integral symmetry is set forth through some examples,and some methods for creating symmetry conditions are provided,and it points out that ensuring the symmetry matching is the key when using the symmetry to simplify the integral calculation.
Keywords:integral  symmetry  integral calculation  exchange symmetry
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