Convex function: Difference between revisions

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* For every real number ''r'', the [[level set]] {''x'' | ''f''(''x'') ≤ ''r''} is [[Compact space|compact]].
* The function ''f'' has a unique [[global minimum]] on ''R<sup>n</sup>''.
* The [[gradient]] <math>\nabla f</math> is [[Lipschitz continuous]] with Lipschitz constant ''m''.
 
== Uniformly convex functions ==