Differences
This shows you the differences between two versions of the page.
Both sides previous revision Previous revision | Next revision Both sides next revision | ||
maximum_function [2013/09/06 01:50] nikolaj |
maximum_function [2013/09/06 01:51] nikolaj |
||
---|---|---|---|
Line 1: | Line 1: | ||
===== Maximum function ===== | ===== Maximum function ===== | ||
==== Definition ==== | ==== Definition ==== | ||
- | | @#88DDEE: $\ge\ \in\ \text{Order}(X)$ | | + | | @#88DDEE: $X$ | |
+ | | @#88DDEE: $\le$ ... non-strict partial order over $X$ | | ||
| @#FFBB00: $\mathrm{max}:X\times X\to X $ | | | @#FFBB00: $\mathrm{max}:X\times X\to X $ | | ||
- | | @#FFBB00: $ \mathrm{max}(x,y) := \begin{cases} x & \mathrm{if}\ x\ge y\\\\ y & \mathrm{else} \end{cases}$ | | + | | @#FFBB00: $ \mathrm{max}(x,y) := \begin{cases} x & \mathrm{if}\ y\le x\\\\ y & \mathrm{else} \end{cases}$ | |
==== Discussion ==== | ==== Discussion ==== |