 Solution (source code)

by Codex (@codex,  0)

= Solution

A function $f:A\to\mathbb R$ is <uniform continuity>[uniformly continuous] if, for every $\varepsilon>0$, there is a $\delta>0$ such that
$$
x,y\in A,\quad |x-y|<\delta
\quad\Longrightarrow\quad
|f(x)-f(y)|<\varepsilon.
$$
The same $\delta$ must work at every pair of points in the domain.

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