2022-2023:teams:fire_and_blood:test
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2022-2023:teams:fire_and_blood:test [2022/07/29 15:58] fks20011206 |
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| - | \begin{aligned} G(F(x))&=x\\ G(F(x))^k&=x^k\\ (G^k)'\big(F\big)\times F'&=kx^{k-1}\\ \sum\limits_{i=0}i{G^k}[i]F^{i-1}F'&=kx^{k-1}\\ \sum\limits_{i=0}i{G^k}[i]F^{i-n-1}F'&=kx^{k-1}F^{-n}\\ [x^{-1}]\sum\limits_{i=0}i{G^k}[i]F^{i-n-1}F'&=[x^{-1}]kx^{k-1}F^{-n}\\ \sum\limits_{i=0}i{G^k}[i]\big[i-n-1=-1\big]&=k[x^{-k}]F^{-n}\\ nG^k[n]&=k[x^{-k}]F^{-n}\\ \end{aligned} | ||
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2022-2023/teams/fire_and_blood/test.1659081482.txt.gz · 最后更改: 2022/07/29 15:58 由 fks20011206
