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infinite_series [2013/09/07 19:28] nikolaj |
infinite_series [2013/09/08 15:49] nikolaj |
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| ==== Definition ==== | ==== Definition ==== | ||
| | @#88DDEE: $M$ ... monoid, metric space | | | @#88DDEE: $M$ ... monoid, metric space | | ||
| - | | @#88DDEE: $ S \in \mathrm{Sequence}(M)$ | | + | | @#88DDEE: $ S \in \mathrm{InfSequence}(M)$ | |
| | @#FFBB00: $\sum_{k=1}^\infty S_k\equiv \mathrm{lim}_{n\to\infty}\sum_{k=1}^n S_k$ | | | @#FFBB00: $\sum_{k=1}^\infty S_k\equiv \mathrm{lim}_{n\to\infty}\sum_{k=1}^n S_k$ | | ||
