Definition: Uniform Continuity

A function f with domain D is called uniformly continuous on the domain D if for any > 0 there exists a > 0 such that:
if s, t D and | x - t | < then | f(x) - f(t) | <
Take a look at a Java applet illustrating uniform continuity , or click here for a graphical explaination and compare this definition to that of 'regular' continuity.
To Theory | Glossary | Map
(bgw)