Differences
This shows you the differences between two versions of the page.
negative_part_of_a_function [2013/09/06 01:48] nikolaj |
negative_part_of_a_function [2014/03/21 11:11] |
||
---|---|---|---|
Line 1: | Line 1: | ||
- | ===== Negative part of a function ===== | ||
- | ==== Definition ==== | ||
- | | @#88DDEE: $f:X\to \overline{\mathbb R}$ | | ||
- | | @#FFBB00: f^-:X\to Y$ | | ||
- | | @#FFBB00: $ f^-(x) := \mathrm{max}(-f(x),0)$ | | ||
- | |||
- | ==== Discussion ==== | ||
- | Notice that $f^-(x)\ge 0$. | ||
- | ==== Context ==== | ||
- | === Requirements === | ||
- | [[Maximum function]], [[Extended real number line]] |