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maximum_function [2013/09/06 01:50] nikolaj |
maximum_function [2014/03/21 11:11] (current) |
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| ===== Maximum function ===== | ===== Maximum function ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $\ge\ \in\ \text{Order}(X)$ | | + | | @#55CCEE: context | @#55CCEE: $X$ | |
| + | | @#55CCEE: context | @#55CCEE: $\le$ ... non-strict partial order over $X$ | | ||
| - | | @#FFBB00: $\mathrm{max}:X\times X\to X $ | | + | | @#FFBB00: definiendum | @#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: definiendum | @#FFBB00: $ \mathrm{max}(x,y) := \begin{cases} x & \mathrm{if}\ y\le x\\\\ y & \mathrm{else} \end{cases}$ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| - | ==== Context ==== | + | ==== Parents ==== |
| + | === Context === | ||
| + | [[Non-strict partial order]] | ||
| === Element of === | === Element of === | ||
| [[Binary operation]] | [[Binary operation]] | ||
