Category:Positive Parts
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This category contains results about positive parts.
Let $X$ be a set.
Let $f: X \to \overline \R$ be an extended real-valued function.
Then the positive part of $f$, $f^+: X \to \overline \R$, is the extended real-valued function defined by:
- $\forall x \in X: \map {f^+} x := \max \set {0, \map f x}$
where the maximum is taken with respect to the extended real ordering.
Pages in category "Positive Parts"
The following 13 pages are in this category, out of 13 total.
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P
- Positive Part of Composition of Functions
- Positive Part of Horizontal Section of Function is Horizontal Section of Positive Part
- Positive Part of Multiple of Function
- Positive Part of Pointwise Product of Functions
- Positive Part of Real-Valued Random Variable is Real-Valued Random Variable
- Positive Part of Simple Function is Simple Function
- Positive Part of Vertical Section of Function is Vertical Section of Positive Part