# Definition
Let $g$ be a real function on $X$.

Define $g^{+} = \max \{ g, 0 \}$, $g^{-} = -\min \{ g, 0 \}$.

Then $g = g^{+} - g^{-}$ and $g^{\pm} \geq 0$.

> [!example]-
> ![[Drawing 2025-03-06 11.57.37.excalidraw.dark.svg]]
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