Radially unbounded function: Difference between revisions

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In mathematics, a '''radially unbounded function''' is a function <math>f: \mathbb{R}^n \rightarrow \mathbb{R}</math> for which
 
:<math>\|x\| \to \infty \Rightarrow f(x) \to \infty. \., </math>
 
Such functions are applied in [[control theory]].