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sequence_intersection [2013/08/16 14:50] nikolaj |
sequence_intersection [2013/09/06 23:18] nikolaj |
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==== Definition ==== | ==== Definition ==== | ||
| @#88DDEE: $X$ | | | @#88DDEE: $X$ | | ||
- | | @#88DDEE: $A\in \mathrm{Sequence}(X)$ | | + | | @#88DDEE: $A$ ... sequence over $X$ | |
| @#88DDEE: $n\in \mathbb N$ | | | @#88DDEE: $n\in \mathbb N$ | | ||
- | | @#55EE55: ${\bigcap_{k=n+1}^\infty}A_k\equiv\bigcap A(\mathbb N\smallsetminus\mathrm{range}(n))$ | | + | | @#FFBB00: ${\bigcap_{k=n+1}^\infty}A_k\equiv\bigcap A(\mathbb N\smallsetminus\mathrm{range}(n))$ | |
- | ==== Ramifications ==== | + | ==== Discussion ==== |
- | ==== Context ==== | + | ==== Parents ==== |
- | === Refinement of === | + | === Requirements === |
- | [[Arbitrary intersection]] | + | [[Sequence]], [[Restricted image]], [[Arbitrary intersection]] |
- | === Parents === | + | |
- | [[Sequence]] | + | |
- | === Parents* === | + | |
- | [[Restricted image]] | + |