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monotonic    
单调; 单调的; 单调性

单调; 单调的; 单调性

monotonic
单调

monotonic
adj 1: of a sequence or function; consistently increasing and
never decreasing or consistently decreasing and never
increasing in value [synonym: {monotonic}, {monotone}] [ant:
{nonmonotonic}]
2: sounded or spoken in a tone unvarying in pitch; "the owl's
faint monotonous hooting" [synonym: {flat}, {monotone},
{monotonic}, {monotonous}]

Monotonic \Mon`o*ton"ic\, Monotonical \Mon`o*ton"ic*al\, a.
1. Of, pertaining to, or uttered in, a monotone; monotonous.
"Monotonical declamation." --Chesterfield.
[1913 Webster]

2. (Math.) Always increasing or always decreasing, as the
value of the independent variable increases; -- of a
function.
[PJC]

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)


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