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Results tagged with continuity
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user 119793
10
votes
1
answer
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views
Does this Osgood-like condition imply continuity?
vert \langle F(x) - F(y), x-y \rangle\vert \le \Vert x-y \Vert \rho( \Vert x-y \Vert)} \qquad \forall x,y \in \mathbb R^d,
$$
where $\rho \colon [0,1) \to \mathbb [0,+\infty) $ is an Osgood modulus of continuity …
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