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What (who) is monotonic - definition
FUNCTION BETWEEN ORDERED SETS THAT PRESERVES OR REVERSES THE GIVEN ORDER
Montone decreasing; Monotone decreasing; Monotone increasing; Monotonicity; Monotone function; Monotonic; Antitone; Order-preserving; Order-reversing; Monotone map; Increasing function; Decreasing function; Nondecreasing function; Nonincreasing function; Monotone transformation; Monotone operator; Monotonic transformation; Increasing; Strictly increasing; Non-decreasing function; Monotonically decreasing; Monotonically increasing; Monotonically nondecreasing; Monotonically nonincreasing; Monotonic series; Monotonic Function; Strictly decreasing; Order morphism; Decreasing; Monotone sequence; Strictly monotone; Increasing operator; Decreasing operator; Monotonically non-decreasing; Antitonic; Weakly increasing; Weakly decreasing; Strictly increasing function; Monotonicity theorem; Monotone boolean function; Monotonic sequence; Absolute Monotonic Sequence; Absolutely Monotonic Function; Absolutely Monotonic Sequence; Monotonic predicate; Isotone function; Order-preserving function; Antitonicity; Order–preserving function; Order-preserving map; User:Weiße Ziege/sandbox; Monotone function (order theory); Monotone function (topology); Monotonic (function)
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)
monotonic
¦ adjective
1. Mathematics (of a function or quantity) varying in such a way that it either never decreases or never increases.
2. speaking or uttered in a monotone.
Derivatives
monotonically adverb
monotonicity noun
Monotonic
·adj ·Alt. of Monotonical.
Wikipedia
Monotonic function
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order theory.
