Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
maximum_function [2013/08/06 13:36] nikolaj |
maximum_function [2014/03/21 11:11] (current) |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| ===== Maximum function ===== | ===== Maximum function ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $\le_X \in \text{Order}(X)$ | | + | | @#55CCEE: context | @#55CCEE: $X$ | |
| + | | @#55CCEE: context | @#55CCEE: $\le$ ... non-strict partial order over $X$ | | ||
| - | | @#55EE55: $ \mathrm{max}$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\mathrm{max}:X\times X\to X $ | |
| + | | @#FFBB00: definiendum | @#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}$ | | + | ==== Parents ==== |
| - | + | === Context === | |
| - | ==== Ramifications ==== | + | [[Non-strict partial order]] |
| - | ==== Context ==== | + | |
| === Element of === | === Element of === | ||
| [[Binary operation]] | [[Binary operation]] | ||
