6.2. Continuous Functions
Definition 6.2.7: 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 | s - t | < then | f(s) - f(t) | <
Take a look at a Java applet illustrating uniform continuity , or click here for a graphical explanation and compare this definition to that of 'regular' continuity.