mathman Science Advisor Homework Helper Messages 8,130 Reaction score 575 Jul 17, 2008 #2 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.
mathwonk Science Advisor Homework Helper Messages 12,038 Reaction score 2,339 Jul 17, 2008 #3 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.