I don't have background in analysis, but was looking for(adsbygoogle = window.adsbygoogle || []).push({});

a simple explanation(proof?) of this statement,

Over a compact set, a differentiable function V Rn-> R, with V<0 in that set, then sup(V)<0 in that set

Actually I'm not certain if I interpreted the statement right, so maybe the statement as it is might be wrong/incomplete.

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# Sup of a function

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