Category:Negative Parts
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This category contains results about 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 "Negative Parts"
The following 13 pages are in this category, out of 13 total.
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- Negative Part of Composition of Functions
- Negative Part of Horizontal Section of Function is Horizontal Section of Negative Part
- Negative Part of Multiple of Function
- Negative Part of Pointwise Product of Functions
- Negative Part of Real-Valued Random Variable is Real-Valued Random Variable
- Negative Part of Simple Function is Simple Function
- Negative Part of Vertical Section of Function is Vertical Section of Negative Part