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positive_part_of_a_function [2013/08/18 20:03] nikolaj created |
positive_part_of_a_function [2013/09/06 01:48] nikolaj |
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| ===== Positive part of a function ===== | ===== Positive part of a function ===== | ||
| ==== Definition ==== | ==== Definition ==== | ||
| - | | @#88DDEE: $f:X\to Y$ | @#88DDEE: $(Y\subseteq \overline{\mathbb R})\land (0\in Y) $ | | + | | @#88DDEE: $f:X\to \overline{\mathbb R}$ | |
| - | | @#55EE55: $ f^+ $ | | + | | @#FFBB00: $f^+:X\to \overline{\mathbb R}$ | |
| + | | @#FFBB00: $ f^+(x) := \mathrm{max}(f(x),0)$ | | ||
| - | | @#88DDEE: $f^+:X\to Y$ | | + | ==== Discussion ==== |
| - | + | ||
| - | | @#55EE55: $ f^+(x) := \mathrm{max}(f(x),0)$ | | + | |
| - | + | ||
| - | ==== Ramifications ==== | + | |
| ==== Context ==== | ==== Context ==== | ||
| - | === Parents === | + | === Requirements === |
| [[Maximum function]], [[Extended real number line]] | [[Maximum function]], [[Extended real number line]] | ||
