Jerry's Digital Garden

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/Part 4: Measure Theory and Integration/Chapter 22: The Lebesgue Integral/Section 22.3: Integration of Complex-Valued Functions

Definition 22.3.2 (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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  • Chapter 16: Notations
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Jerry's Digital Garden

Bibliography

Direct Backlinks

  • Chapter 16: Notations
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