Uniformly Cauchy sequence
= Uniformly Cauchy sequence
= Uniformly Cauchy
{c}
{synonym}
A sequence of functions is uniformly Cauchy when, for every $\varepsilon>0$, all sufficiently late pairs satisfy
$$
\sup_x d(f_n(x),f_m(x))<\varepsilon.
$$
= Uniformly Cauchy sequence
= Uniformly Cauchy
{c}
{synonym}
A sequence of functions is uniformly Cauchy when, for every $\varepsilon>0$, all sufficiently late pairs satisfy
$$
\sup_x d(f_n(x),f_m(x))<\varepsilon.
$$