Let , then the positive part of is the function defined by
The positive part satisfies the identity
where is the negative part of .
Let , then the positive part of is the function defined by
The positive part satisfies the identity
where is the negative part of .
This entry contributed by John Renze
Renze, John. "Positive Part." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/PositivePart.html