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Negative part of a function

Definition

$f:X\to Y$ $(Y\subseteq \overline{\mathbb R})\land (0\in Y) $
$ f^- $
$ f^-:X\to Y$
$ f^-(x) := \mathrm{max}(-f(x),0)$

Ramifications

Discussion

Notice that $f^-(x)\ge 0$.

Context

Parents

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