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minimum_function [2014/02/22 19:42] nikolaj old revision restored (2014/02/13 16:13) |
minimum_function [2014/03/21 11:11] (current) |
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| ===== Minimum function ===== | ===== Minimum function ===== | ||
| ==== Set ==== | ==== Set ==== | ||
| - | | @#88DDEE: $X$ | | + | | @#55CCEE: context | @#55CCEE: $X$ | |
| - | | @#88DDEE: $\le$ ... non-strict partial order over $X$ | | + | | @#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\le y\\\\ y & \mathrm{else} \end{cases}$ | | + | | @#FFBB00: definiendum | @#FFBB00: $ \mathrm{max}(x,y) := \begin{cases} x & \mathrm{if}\ x\le y\\\\ y & \mathrm{else} \end{cases}$ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| - | === Code === | ||
| - | <code haskell> | ||
| - | mnmInt :: [Int] -> Int | ||
| - | mnmInt [] = error "empty list" | ||
| - | mnmInt [x] = x | ||
| - | mnmInt (x:xs) = min x (mnmInt xs) | ||
| - | </code> | ||
| ==== Parents ==== | ==== Parents ==== | ||
| === Context === | === Context === | ||
