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I have a problem in which I need to find $\min_x(f(x))$. What does this notation mean?

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In the contexts I've seen, $\min_x(f(x))$ , means "the minimum of $f(x)$ over all $x$".

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  • $\begingroup$ That's what I figured. Thanks! $\endgroup$ – maxbart Jan 17 '15 at 21:37
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It means the minimum of the function $f$ when $x$ is varying over the domain of $f$.

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$\min_{x\in A}f(x)$ it's just another way to write $\min\{f(x):x\in A\}$

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