additive,
adj. 1. (of a function between semigroups) distributing over addition, so that
.
The only continuous or measurable additive functions on the real line are of the form
f(x) =cx. Compare multiplicative.
2. (of a set function on a class of sets) distributing over addition, so that, for disjoint sets whose union is in the class,
f(A ∪ B) = f(A) + f(B).
See also measure.
.2. (of a set function on a class of sets) distributing over addition, so that, for disjoint sets whose union is in the class,
f(A ∪ B) = f(A) + f(B).
See also measure.