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negative_part_of_a_function [2013/08/18 20:04] nikolaj created |
negative_part_of_a_function [2014/03/21 11:11] |
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| - | ===== Negative part of a function ===== | ||
| - | ==== Definition ==== | ||
| - | | @#88DDEE: $f:X\to Y$ | @#88DDEE: $(Y\subseteq \overline{\mathbb R})\land (0\in Y) $ | | ||
| - | | @#55EE55: $ f^- $ | | ||
| - | |||
| - | | @#88DDEE: $ f^-:X\to Y$ | | ||
| - | |||
| - | | @#55EE55: $ f^-(x) := \mathrm{max}(-f(x),0)$ | | ||
| - | |||
| - | ==== Ramifications ==== | ||
| - | === Discussion === | ||
| - | Notice that $f^-(x)\ge 0$. | ||
| - | ==== Context ==== | ||
| - | === Parents === | ||
| - | [[Maximum function]], [[Extended real number line]] | ||
