Radially unbounded function: Difference between revisions

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Both are symbolic expressions.
Brackets are put on the conditional
Line 7:
Or equivalently,
 
:<math>\forall c > 0:\exists r > 0 : \forall x \in \mathbb{R}^n: [\Vert x \Vert > r \Rightarrow f(x) > c]</math>
 
Such functions are applied in [[control theory]] and required in [[Mathematical optimization|optimization]] for determination of [[compact space]]s.