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View Code? Open in Web Editor NEWAuxiliary platform of the course `Methods of Mathematical Physics' (数学物理方法教学辅助平台)
License: Other
Auxiliary platform of the course `Methods of Mathematical Physics' (数学物理方法教学辅助平台)
License: Other
课上关于默比乌斯变换的讨论,当时没说清楚
是不是这样的,设一个莫比乌斯变换的矩阵为(a b; c d)(是2阶方阵)
c=0时:这个变换仅仅是有限的平移、旋转、位似变换的叠加,直线映射为直线,真正的圆映射为真正的圆
c≠0时:
如果一个广义圆过-d/c这个点,他一定被映射为直线(不论他本身是任何种类的广义圆)
如果不过-d/c这个点,他一定被映射为真正的圆(同样的,不论他本身是任何种类的广义圆)
此处为具体内容, 使用 GitHub 风格的 markdown 格式书写. 这种格式的说明请参看 GitHub 的简单介绍.
如果要用 LaTeX 编写数学公式, 可参考 LaTeX-examples.md 中的例子.
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