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infinite_sum_of_complex_numbers [2013/09/07 19:43] nikolaj |
infinite_sum_of_complex_numbers [2016/09/28 18:21] nikolaj |
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===== Infinite sum of complex numbers ===== | ===== Infinite sum of complex numbers ===== | ||
- | ==== Definition ==== | + | ==== Set ==== |
- | | @#88DDEE: $ (z_i) \in \mathrm{Sequence}(\mathbb C)$ | | + | | @#55CCEE: context | @#55CCEE: $ (z_i) \in \mathrm{Sequence}(\mathbb C)$ | |
+ | | @#FFBB00: definiendum | @#FFBB00: $\sum_{i=1}^\infty z_i\equiv \mathrm{lim}_{n\to\infty}\sum_{i=1}^n z_i$ | | ||
- | | @#FFBB00: $\sum_{i=1}^\infty z_i\equiv \mathrm{lim}_{n\to\infty}\sum_{i=1}^n z_i$ | | + | ----- |
- | + | ----- | |
- | ==== Discussion ==== | + | |
- | ==== Parents ==== | + | |
=== Element of === | === Element of === | ||
[[Complex number]] | [[Complex number]] | ||
=== Subset of === | === Subset of === | ||
[[Infinite series]] | [[Infinite series]] |