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sequence_intersection [2013/08/16 14:50] nikolaj |
sequence_intersection [2013/09/08 15:41] 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]] | + | [[Infinite sequence]], [[Restricted image]], [[Arbitrary intersection]] |
| - | === Parents === | + | |
| - | [[Sequence]] | + | |
| - | === Parents* === | + | |
| - | [[Restricted image]] | + | |
