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反函数微分性质的逆命题
引用本文:周盘兴. 反函数微分性质的逆命题[J]. 上海电力学院学报, 1997, 13(3): 56-63
作者姓名:周盘兴
摘    要:在分析了积分法是微分法逆运算的基础上,提出了反函数微分性质的逆命题,由此得到两人定理和一个推论,并进一步指出这种新的积分方法对于求解高次方的三角函数的积分常常十分有效。

关 键 词:反函数 逆命题 微分法 积分法
收稿时间:1997-06-09

An Inverse Proposition for Differential Properties of Inverse Function
Zhou Panxing. An Inverse Proposition for Differential Properties of Inverse Function[J]. Journal of Shanghai University of Electric Power, 1997, 13(3): 56-63
Authors:Zhou Panxing
Affiliation:Department of Basic Science
Abstract:On the basis of analyses that an integral operation is the inverse operation of a differential operation, we propose an inverse proposition for differential properties of inverse function and two theorems with a corollary. Finally, we point out that the new integral methods are often very effective to calculate integral of the triangle functions with higher powers.
Keywords:inverse function  inverse proposition  differentiation  integral methods
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