English Explanatory Dictionary

monotone function

English dictionary entry

Meanings

noun
  1. 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).
  2. 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).
  3. 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.

Word forms

monotone function monotone functions monotonic function

Synonyms

monotonic function

Related words

monotone monotone operator monotone transformation monotonic absolutely monotonic strictly decreasing strictly increasing weakly decreasing weakly increasing

Translations

German: monotone Funktion Serbo-Croatian: monotona funkcija Spanish: función monótona Turkish: monoton fonksiyon
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