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sequence_union [2013/09/06 23:15] nikolaj |
sequence_union [2013/09/08 16:22] nikolaj |
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| ==== Definition ==== | ==== Definition ==== | ||
| | @#88DDEE: $X$ | | | @#88DDEE: $X$ | | ||
| - | | @#88DDEE: $A\in \mathrm{Sequence}(X)$ | | + | | @#88DDEE: $A\in \mathrm{InfSequence}(X)$ | |
| | @#88DDEE: $n\in \mathbb N$ | | | @#88DDEE: $n\in \mathbb N$ | | ||
| | @#FFBB00: ${\bigcup_{k=n+1}^\infty}A_k\equiv\bigcup A(\mathbb N\smallsetminus\mathrm{range}(n))$ | | | @#FFBB00: ${\bigcup_{k=n+1}^\infty}A_k\equiv\bigcup A(\mathbb N\smallsetminus\mathrm{range}(n))$ | | ||
| - | ==== Ramifications ==== | + | ==== Discussion ==== |
| ==== Parents ==== | ==== Parents ==== | ||
| - | === Parameter refinement of === | ||
| - | [[Arbitrary union]] | ||
| === Requirements === | === Requirements === | ||
| - | [[Sequence]], [[Restricted image]] | + | [[Infinite sequence]], [[Restricted image]], [[Arbitrary union]] |
