## Definition 6.2.7: Uniform Continuity

A function

*f*with domain*is called***D****uniformly continuous**on the domain*if for any***D***> 0*there exists a*> 0*such that if*s, t*and**D***| 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.