Tending to distribute; serving to divide and assign in portions; dealing a proper share to each.
(mathematics) 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 {\displaystyle f(a,g(b,c))=g(f(a,b),f(a,c))}:.
If the operation {\displaystyle \star }: is distributive with respect to the operation {\displaystyle \circ }:, then {\displaystyle a\star (b\circ c)=(a\star b)\circ (a\star c)}:.
}:.
}: is distributive with respect to the operation {\displaystyle \circ
}:, then {\displaystyle a\star (b\circ c)=(a\star b)\circ (a\star c)
}:.