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niemand_sequence [2016/07/13 13:26] nikolaj |
niemand_sequence [2016/07/13 13:27] nikolaj |
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== Exponential function == | == Exponential function == | ||
- | $a_{n,N} = \left(\prod_{k=1}^n\left(1-\dfrac{k-1}{N}\right)\right)C(N)^n\dfrac{z^n}{n!} $ | + | $a_{n,N} = \left(\prod_{k=1}^n\left(1-\dfrac{k-1}{N}\right)\right) c(N)^n\dfrac{z^n}{n!} $ |
$\sum_{n=0}^N a_{n,N} = \left(1+c(N)\dfrac{z}{N}\right)^N$ | $\sum_{n=0}^N a_{n,N} = \left(1+c(N)\dfrac{z}{N}\right)^N$ |