Category:Definitions/Negative Parts
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This category contains definitions related to Negative Parts.
Related results can be found in Category:Negative Parts.
Let $X$ be a set, and let $f: X \to \overline \R$ be an extended real-valued function.
Then the negative part of $f$, $f^-: X \to \overline \R$, is the extended real-valued function defined by:
- $\forall x \in X: \map {f^-} x := -\min \set {0, \map f x}$
where the minimum is taken with respect to the extended real ordering.
Pages in category "Definitions/Negative Parts"
The following 4 pages are in this category, out of 4 total.