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彩虹W

银虫 (正式写手)

[求助] 关于Schwarzian derivative 与 cross-ratio

设Schwarzian derivative为s(f),证明下式成立:
(f(z+ta),f(z+tb),f(z+tc),f(z+td))=(a,b,c,d)(1+t^2/6(a-b)(c-d)s(f))+O(t^3)
其中任意四个数a,b,c,d,
(a,b,c,d)=a-c/a-d:b-c/b-d (传说中的交比cross-ratio)
  麻烦各位了。。。。。

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11jxli1

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感谢参与,应助指数 +1
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2楼2013-01-09 16:54:57
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彩虹W

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引用回帖:
2楼: Originally posted by 11jxli1 at 2013-01-09 16:54:57
取对称去证明的
设-a,-b ,-c ,-d带进去

不好意思 还是不太明白........

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3楼2013-01-09 17:01:16
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