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单词 Cauchy Residue Theorem
释义

Cauchy Residue Theorem

中文百科

留数定理 Residue theorem

(重定向自Cauchy Residue Theorem)
积分路径

在复分析中,留数定理是用来计算解析函数沿着闭曲线的路径积分的一个有力的工具,也可以用来计算实函数的积分。它是柯西积分定理和柯西积分公式的推广。

英语百科

Residue theorem 留数定理

(重定向自Cauchy Residue Theorem)
Illustration of the setting.
The contour C.
The contour C'.
积分路径

In complex analysis, the residue theorem, sometimes called Cauchy's residue theorem, is a powerful tool to evaluate line integrals of analytic functions over closed curves; it can often be used to compute real integrals as well. It generalizes the Cauchy integral theorem and Cauchy's integral formula. From a geometrical perspective, it is a special case of the generalized Stokes' theorem.

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更新时间:2025/6/18 9:36:21