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infinite_series [2014/03/21 11:11] 127.0.0.1 external edit |
infinite_series [2015/06/20 16:25] nikolaj |
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| @#55CCEE: context | @#55CCEE: $M$ ... monoid, metric space | | | @#55CCEE: context | @#55CCEE: $M$ ... monoid, metric space | | ||
| @#55CCEE: context | @#55CCEE: $ S \in \mathrm{InfSequence}(M)$ | | | @#55CCEE: context | @#55CCEE: $ S \in \mathrm{InfSequence}(M)$ | | ||
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| @#FFBB00: definiendum | @#FFBB00: $\sum_{k=1}^\infty S_k\equiv \mathrm{lim}_{n\to\infty}\sum_{k=1}^n S_k$ | | | @#FFBB00: definiendum | @#FFBB00: $\sum_{k=1}^\infty S_k\equiv \mathrm{lim}_{n\to\infty}\sum_{k=1}^n S_k$ | | ||
- | ==== Discussion ==== | + | ----- |
- | ==== Parents ==== | + | |
=== Element of === | === Element of === | ||
[[Monoid]] | [[Monoid]] | ||
=== Context === | === Context === | ||
[[Finite sum over a monoid]], [[Limit in a metric space]] | [[Finite sum over a monoid]], [[Limit in a metric space]] |