Radially unbounded function: Difference between revisions

Revision as of 02:23, 17 December 2020

Revision as of 03:54, 17 December 2020

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Or symbolically,

:<math>\forall Lc > 0:\exists ar > 0 : \forall x \in \mathbb{R}^n:\Vert x \Vert > ar \Rightarrow f(x) > Lc</math>

Such functions are applied in [[control theory]] and required in [[Mathematical optimization|optimization]] for determination of [[compact space]]s.