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finite_sum_over_a_monoid [2015/04/17 21:36] nikolaj |
finite_sum_over_a_monoid [2015/04/17 21:39] nikolaj |
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| ==== Function ==== | ==== Function ==== | ||
| | @#55CCEE: context | @#55CCEE: $ \langle\!\langle M,* \rangle\!\rangle$ ... monoid | | | @#55CCEE: context | @#55CCEE: $ \langle\!\langle M,* \rangle\!\rangle$ ... monoid | | ||
| - | | @#55CCEE: context | @#55CCEE: $ S \in \mathrm{Sequence}(M)$ | | ||
| | @#BBDDEE: let | @#BBDDEE: $e$ ... unit of $\langle\!\langle M,* \rangle\!\rangle$ | | | @#BBDDEE: let | @#BBDDEE: $e$ ... unit of $\langle\!\langle M,* \rangle\!\rangle$ | | ||
| | @#FF9944: definition | @#FF9944: $\sum^n:\prod_{S:\mathrm{Sequence}(M)}\mathrm{range}(\mathrm{length}(S))\to M$ | | | @#FF9944: definition | @#FF9944: $\sum^n:\prod_{S:\mathrm{Sequence}(M)}\mathrm{range}(\mathrm{length}(S))\to M$ | | ||
