Jul 17, 2008 #2 mathman Science Advisor Homework Helper Messages 8,130 Reaction score 573 C[0,1] means continuous 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.
C[0,1] means continuous 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.
Jul 17, 2008 #3 mathwonk Science Advisor Homework Helper 2024 Award Messages 11,934 Reaction score 2,195 it means the distance between two functions is the furthest apart their graphs ever get, over any point of the domain.
it means the distance between two functions is the furthest apart their graphs ever get, over any point of the domain.