 In this case, the norm is also called the maximum norm.In particular, for the case of a vector formula_6 in finite dimensional coordinate space, it takes the form

The reason for the subscript "∞" is that whenever "f" is continuous

where

where "D" is the domain of "f" (and the integral amounts to a sum if "D" is a discrete set).The binary function

is then a metric on the space of all bounded functions (and, obviously, any of its subsets) on a particular domain.