monotonic

adj 1: (mathematics) of a sequence or function; consistently

increasing and never decreasing or consistently

decreasing and never increasing in value [syn: {monotone}]

[ant: {nonmonotonic}]

2: sounded or spoken in a tone unvarying in pitch; "the owl's

faint monotonous hooting" [syn: {monotone}, {monotonous}]

monotonic

In {domain theory}, a function f : D -> C is monotonic (or

monotone) if

for all x,y in D, x <◦ y ◦> f(x) <◦ f(y).

("<◦" is written in {LaTeX} as {\sqsubseteq}).

(1994-11-24)