# Consider C[0,1] with sup metric

1. Jul 17, 2008

### coverband

What does this mean ! ?

2. Jul 17, 2008

### mathman

C[0,1] means continous functions defined for the closed interval 0 to 1. Sup metric means the distance between two functions f and g is defined as the sup |f(x)-g(x)| over that interval.

3. Jul 17, 2008

### mathwonk

it means the distance between two functions is the furthest apart their graphs ever get, over any point of the domain.