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 
.
Negative Part
See also
Positive PartThis entry contributed by John Renze
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Cite this as:
Weisstein, Eric W., with contributions by John Renze. "Negative Part." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/NegativePart.html