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monotonically_increasing_function [2014/02/13 16:13] 127.0.0.1 external edit |
monotonically_increasing_function [2014/03/21 11:11] |
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- | ===== Monotonically increasing function ===== | ||
- | ==== Set ==== | ||
- | | @#88DDEE: $X,Y$ | | ||
- | | @#88DDEE: $ \le_X,\le_Y $ ...non-strict partial order | | ||
- | | @#FFBB00: $ f\in\mathrm{it} $ | | ||
- | |||
- | | @#55EE55: $f:X\to Y$ | | ||
- | |||
- | | $x,y\in X$ | | ||
- | |||
- | | @#55EE55: $ x\le_X y \implies f(x)\le_Y f(y) $ | | ||
- | |||
- | ==== Discussion ==== | ||
- | === Reference === | ||
- | Wikipedia: [[http://en.wikipedia.org/wiki/Monotone_function|Monotone function]] | ||
- | ==== Parents ==== | ||
- | === Refinement of === | ||
- | [[Function]] | ||
- | === Context === | ||
- | [[Non-strict partial order]] |