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I know max$\{0,a+b\}=\mbox{max}\{0,a\}+\mbox{max}\{0,b\}$, whenever $a$ and $b$ share same sign.What happens if they have different sign? Can we have some identity?

1 Answers1

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$$\max\{\alpha ,\beta \}=\frac{\alpha +\beta +|\alpha -\beta |}{2}.$$

Surb
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