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Right-continuous function

Definition

$p\in\mathbb N$
$f\in\mathrm{RightContinous}(\mathbb R^p,\mathbb R) $
$f:\mathbb R^p\to\mathbb R$
$\varepsilon,\delta\in \mathbb R_+^*$
$y\in\mathbb R^p$
$\forall y.\ \forall\varepsilon.\ \exists \delta.\ \forall x.\ (x\ge y\ \land\ \Vert x-y \Vert < \delta) \implies |f(x)-f(y)|<\varepsilon$

Discussion

Reference

Wikipedia: Continuous function

Parents

Subset of

Context

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