Etymology From Middle French distributif, from Latin distribūtīvus.
1
Relating to distribution.
2
Tending to distribute; serving to divide and assign in portions; dealing a proper share to each.
[I]t is worth obſerving the diſtributive Juſtice of the Authors, which is conſtantly applied to the Puniſhment of Virtue, and the Reward of Vice; […]1709, [Jonathan Swift], A Project for the Advancement of Religion, and the Reformation of Manners. […], London: […] Benj[amin] Tooke, […], →OCLC, page 40:
3
Mathematics, Sciences A property of functions that have a rule describing how the function can be performed to the individual components of another operation.
If function f is distributive with respect to function g, then f(a,g(b,c))=g(f(a,b),f(a,c)).
If the operation ⋆ is distributive with respect to the operation ∘, then a⋆(b∘c)=(a⋆b)∘(a⋆c).