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sequence_intersection [2013/08/16 14:50] nikolaj |
sequence_intersection [2013/09/06 22:04] 127.0.0.1 external edit |
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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 ==== | ==== Ramifications ==== | ||
- | ==== Context ==== | + | ==== Parents ==== |
=== Refinement of === | === Refinement of === | ||
[[Arbitrary intersection]] | [[Arbitrary intersection]] | ||
- | === Parents === | + | === Requirements === |
[[Sequence]] | [[Sequence]] | ||
- | === Parents* === | + | === Context === |
[[Restricted image]] | [[Restricted image]] |