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infinite_sequence [2013/09/08 15:32] nikolaj created |
infinite_sequence [2013/10/12 23:05] nikolaj |
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| ==== Definition ==== | ==== Definition ==== | ||
| | @#88DDEE: $X$ | | | @#88DDEE: $X$ | | ||
| - | | | + | |
| - | | @#FFBB00: $ A\in \mathrm{Sequence}(X) $ | | + | | @#FFBB00: $ A\in \mathrm{InfSequence}(X) $ | |
| | @#55EE55: $A: \mathbb N\to X$ | | | @#55EE55: $A: \mathbb N\to X$ | | ||
| ==== Discussion ==== | ==== Discussion ==== | ||
| - | Instead of $\langle n,A(n)\rangle$, we also write $A_n$ and denote the whole sequence by $(A_n)_{n\mathbb N}$. | + | Instead of $\langle n,A(n)\rangle$, we also write $A_n$ and denote the whole sequence by $(A_n)_{n\in\mathbb N}$ or just $(A_n)$. |
| ==== Parents ==== | ==== Parents ==== | ||
| === Subset of === | === Subset of === | ||
