Definition 24.3.2 (Positive and Negative Parts).label Let $X$ be a set and $f: X \to \real$ be a function, then

\[f^{+} = f \vee 0 \quad f^{-} = -(f \wedge 0)\]

are the positive and negative parts of $f$, and $f = f^{+} - f^{-}$.

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