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monotonically_increasing_function [2014/02/17 20:34] nikolaj |
monotonically_increasing_function [2014/03/21 11:11] |
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| - | ===== Monotonically increasing function ===== | ||
| - | ==== Function ==== | ||
| - | | @#88DDEE: $ X,Y $ | | ||
| - | | @#88DDEE: $ \le_X,\le_Y $ ... non-strict partial order | | ||
| - | | @#FFBB00: $ f\in\mathrm{it} $ | | ||
| - | |||
| - | | @#AAFFAA: $f:X\to Y$ | | ||
| - | |||
| - | | @#FFFDDD: $x,y\in X$ | | ||
| - | |||
| - | | @#55EE55: $ x\le_X y \implies f(x)\le_Y f(y) $ | | ||
| - | |||
| - | ==== Discussion ==== | ||
| - | ==== Parents ==== | ||
| - | === Subset of === | ||
| - | [[Function]] | ||
| - | === Context === | ||
| - | [[Non-strict partial order]] | ||
| - | === Related === | ||
| - | [[Monotonically decreasing function]] | ||
