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natural_number_range [2013/08/16 14:53] nikolaj |
natural_number_range [2013/09/08 16:01] nikolaj |
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| ===== Natural number range ===== | ===== Natural number range ===== | ||
| ==== Definition ==== | ==== Definition ==== | ||
| - | | @#55EE55: $ \mathrm{range}\cup\{\infty\}: \mathbb N\to\mathcal P(\mathbb N)$ | | + | | @#FFBB00: $ \mathrm{range}: \mathbb N\cup\{\infty\}\to\mathcal P(\mathbb N)$ | |
| - | | @#55EE55: $ \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 ==== |
| - | ==== Context ==== | + | ==== Parents ==== |
| - | === Parents === | + | === Context === |
| [[Natural number]] | [[Natural number]] | ||
| - | === Element of* === | + | === Element of === |
| [[Function]] | [[Function]] | ||
