<mathematics> A function f : X -> Y is additive if

for all Z <= X f (lub Z) = lub f z : z in Z

(f "preserves lubs"). All additive functions defined over cpos are continuous.

("<=" is written in LaTeX as \subseteq, "lub" as \sqcup ).

(01 Feb 1995)

1. <chemistry> Characterised by addition.

2. A substance, as a flavouring agent, preservative or vitamin, added to another substance to improve its appearance, increase its nutritional value, etc.

(18 Nov 1997)