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保角映射
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保角映射
Encyclopedia
理学
网格曲面的几何计算
释
conformal mapping
保角映射
给定一个复值函数,如果它满足柯西-黎曼方程,则它是全纯函数。如果函数可逆,并且其逆函数也是全纯的,则函数被称为是双全纯的。双全纯函数定义了复平面到自身的可微变换,它保持任意相交曲线的交角不变,因此被称为是保角变换。同时,双全纯变换将无穷小圆映成无穷小圆,诱导了切平面间的相似变换,保持局部形状不变,因此保角映射又被称为共形映射。
Mathematics
angle-preserving mapping
保角映射
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