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negative_part_of_a_function [2013/09/06 01:48] nikolaj |
negative_part_of_a_function [2014/03/21 11:11] (current) |
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| ===== Negative part of a function ===== | ===== Negative part of a function ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $f:X\to \overline{\mathbb R}$ | | + | | @#55CCEE: context | @#55CCEE: $f:X\to \overline{\mathbb R}$ | |
| - | | @#FFBB00: $f^-:X\to \overline{\mathbb R}$ | | + | | @#FFBB00: definiendum | @#FFBB00: $f^-:X\to \overline{\mathbb R}$ | |
| - | | @#FFBB00: $ f^-(x) := \mathrm{max}(-f(x),0)$ | | + | | @#FFBB00: definiendum | @#FFBB00: $ f^-(x) := \mathrm{max}(-f(x),0)$ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| Notice that $f^-(x)\ge 0$. | Notice that $f^-(x)\ge 0$. | ||
| - | ==== Context ==== | + | ==== Parents ==== |
| - | === Requirements === | + | === Context === |
| [[Maximum function]], [[Extended real number line]] | [[Maximum function]], [[Extended real number line]] | ||
