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

CITE THIS AS:

Renze, John. "Negative Part." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. http://mathworld.wolfram.com/NegativePart.html