3 ms·
Small correction: the definition you shared is that of “uniform continuity” [1] not “absolute continuity” [2]. Absolute continuity is a slightly stronger condit
by jbrot 5y ago
Small correction: the definition you shared is that of “uniform continuity” [1] not “absolute continuity” [2]. Absolute continuity is a slightly stronger condition where instead of providing a single (x1, x2) pair with |x1 - x2| < delta, you can now provide a finite list of pairs.
[1] https://en.m.wikipedia.org/wiki/Uniform_continuity https://en.m.wikipedia.org/wiki/Uniform_continuity
[2] https://en.m.wikipedia.org/wiki/Absolute_continuity https://en.m.wikipedia.org/wiki/Absolute_continuity
- vitus 5y agoAh, good catch! The wiki quote that I cited does reference uniform continuity, so the rest still holds. (left for posterity so your comment makes sense)