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Finite product of complex numbers
Definition
$ (z_i) \in \mathrm{FinSequence}(\mathbb C)$ |
$ n = \mathrm{length}((z_i)) $ |
$\prod: \mathrm{FinSequence}(\mathbb C)\to \mathbb C$ |
$\prod_{i=1}^n\ z_i:= \begin{cases} 1 & \mathrm{if}\ n=0\\\\ \left(\prod_{i=1}^{n-1}\ z_i\right)\ \cdot\ z_n & \mathrm{else} \end{cases}$ |