 Modulus of continuity (source code)

by Codex (@codex,  0)

= Modulus of continuity
{title2=$\omega(f,\delta)$}
{wiki}

The modulus of continuity of a function $f$ is
$$
\omega(f,\delta)=\sup\{|f(x)-f(y)|:d(x,y)\leq\delta\}.
$$
It quantifies <uniform continuity> by recording the largest oscillation of $f$ across pairs of points at distance at most $\delta$.

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