这里会显示出您选择的修订版和当前版本之间的差别。
两侧同时换到之前的修订记录 前一修订版 后一修订版 | 前一修订版 | ||
2022-2023:teams:fire_and_blood:test [2022/08/01 11:29] fks20011206 |
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- | F(n)=\sum\limits_{i=0}^n(-1)^{n-i}\begin{Bmatrix}n \\ i\end{Bmatrix}G(i)\Leftrightarrow G(n)=\sum\limits_{i=0}^n\begin{bmatrix}n \\ i\end{bmatrix}F(i) | ||
- | F(n)= | ||
- | i=0 | ||
- | ∑ | ||
- | n | ||
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- | (−1) | ||
- | n−i | ||
- | { | ||
- | n | ||
- | i | ||
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- | }G(i)⇔G(n)= | ||
- | i=0 | ||
- | ∑ | ||
- | n | ||
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- | [ | ||
- | n | ||
- | i | ||
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- | ]F(i) | ||
- | F(n)=\sum\limits_{i=n}\begin{Bmatrix}i \\ n\end{Bmatrix}G(i)\Leftrightarrow G(n)=\sum\limits_{i=n}(-1)^{i-n}\begin{bmatrix}i \\ n\end{bmatrix}F(i) | ||
- | F(n)= | ||
- | i=n | ||
- | ∑ | ||
- | | ||
- | { | ||
- | i | ||
- | n | ||
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- | }G(i)⇔G(n)= | ||
- | i=n | ||
- | ∑ | ||
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- | (−1) | ||
- | i−n | ||
- | [ | ||
- | i | ||
- | n | ||
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- | ]F(i) | ||
- | F(n)=\sum\limits_{i=n}(-1)^{i-n}\begin{Bmatrix}i \\ n\end{Bmatrix}G(i)\Leftrightarrow G(n)=\sum\limits_{i=n}\begin{bmatrix}i \\ n\end{bmatrix}F(i) | ||
- | F(n)= | ||
- | i=n | ||
- | ∑ | ||
- | | ||
- | (−1) | ||
- | i−n | ||
- | { | ||
- | i | ||
- | n | ||
- | | ||
- | }G(i)⇔G(n)= | ||
- | i=n | ||
- | ∑ | ||
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- | [ | ||
- | i | ||
- | n | ||
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- | ]F(i) |