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maximum_function [2013/08/06 13:36] nikolaj |
maximum_function [2013/09/06 01:52] nikolaj |
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| ===== Maximum function ===== | ===== Maximum function ===== | ||
| ==== Definition ==== | ==== Definition ==== | ||
| - | | @#88DDEE: $\le_X \in \text{Order}(X)$ | | + | | @#88DDEE: $X$ | |
| + | | @#88DDEE: $\le$ ... non-strict partial order over $X$ | | ||
| - | | @#55EE55: $ \mathrm{max}$ | | + | | @#FFBB00: $\mathrm{max}:X\times X\to X $ | |
| + | | @#FFBB00: $ \mathrm{max}(x,y) := \begin{cases} x & \mathrm{if}\ y\le x\\\\ y & \mathrm{else} \end{cases}$ | | ||
| - | | @#88DDEE: $\mathrm{max}\in\text{binaryOp}(X) $ | | + | ==== Discussion ==== |
| - | | @#55EE55: $ \mathrm{max}(x,y) := \begin{cases} x & \mathrm{if}\ x\ge y\\\\ y & \mathrm{else} \end{cases}$ | | + | |
| - | + | ||
| - | ==== Ramifications ==== | + | |
| ==== Context ==== | ==== Context ==== | ||
| + | === Requirements === | ||
| + | [[Non-strict partial order]] | ||
| === Element of === | === Element of === | ||
| [[Binary operation]] | [[Binary operation]] | ||
