Interactive Real Analysis
- part of 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) | <
Context
> 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.
Context