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natural_number_range [2013/09/07 21:41] nikolaj |
natural_number_range [2013/09/08 16:01] nikolaj |
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| ===== Natural number range ===== | ===== Natural number range ===== | ||
| ==== Definition ==== | ==== Definition ==== | ||
| - | | @#FFBB00: $ \mathrm{range}\cup\{\infty\}: \mathbb N\to\mathcal P(\mathbb N)$ | | + | | @#FFBB00: $ \mathrm{range}: \mathbb N\cup\{\infty\}\to\mathcal P(\mathbb N)$ | |
| - | | @#FFBB00: $ \mathrm{range}(n):= \begin{cases} \{k|1\leq k\leq n\} & \mathrm{if}\ n\in \mathbb N\\\\ \mathbb N & \mathrm{if}\ n=\infty \end{cases}$ | | + | | @#FFBB00: $ \mathrm{range}(n):= \begin{cases} \{k\ |\ 1\leq k\leq n\} & \mathrm{if}\ n\in \mathbb N\\\\ \mathbb N & \mathrm{if}\ n=\infty \end{cases}$ | |
| - | ==== Ramifications ==== | + | ==== Discussion ==== |
| ==== Parents ==== | ==== Parents ==== | ||
| === Context === | === Context === | ||
