Monotone function

Related Terms:

subset boolean function partial order monotonic monotone operator weakly decreasing monotone independent variable function weakly increasing discrete set poset strictly increasing absolutely monotonic monotone transformation strictly decreasing

Noun

Definition: A function f : X→R (where X is a subset of R, possibly a discrete set) that either never decreases or never increases as its independent variable increases; that is, either x ≤ y implies f(x) ≤ f(y) or x ≤ y implies f(y) ≤ f(x).