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Negative Part


Let f:R->R, then the negative part of f is the function f^-:R->R defined by

 f^-(x)=max(-f(x),0).

Note that the negative part is itself a nonnegative function. The negative part satisfies the identity

 f=f^+-f^-,

where f^+ is the positive part of f.


See also

Positive Part

This entry contributed by John Renze

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Cite this as:

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

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