monotone function (English, noun)
expansion: monotone function (plural monotone functions)
Senses:
topics: calculus
mathematics
sciences
glosses: 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).
topics: mathematical-analysis
mathematics
order-theory
sciences
glosses: A function f : X→Y (where X and Y are posets with partial order "≤") with either: (1) the property that x ≤ y implies f(x) ≤ f(y), or (2) the property that x ≤ y implies f(y) ≤ f(x).
qualifier: Boolean algebra
glosses: A Boolean function with the property that switching any one input variable from 0 to 1 results either in no change in output or a change from 0 to 1.
Forms:
form: monotone functions
tags: plural
form: monotonic function
tags: alternative