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