 In this case the ordering defined by "C" is called the canonical ordering of L("X"; "W").More generally, if "M" is any vector subspace of L("X"; "W") such that "C" ∩ "M" is a proper cone, the ordering defined by "C" ∩ "M" is called the canonical ordering of "M".A linear function "f" on a preordered vector space is called positive if it satisfies any of the following equivalent conditions