Definition:Monotone
Jump to navigation
Jump to search
Disambiguation
This page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.
Monotone may refer to:
- Mappings:
- Monotone (Order Theory): A mapping from one ordered set to another is monotone if and only if it is either increasing or decreasing.
- Monotone (Measure Theory): A mapping $f: \SS \to \R$ on an algebra of sets $\SS$ is monotone if and only if $A \subseteq B \iff \map f A \le \map f B$.
- Monotone Class: A collection of subsets closed under countable intersections and unions.
- Definition:Monotone Galois Connection
In all cases, the sense is one of changing always in the same direction.
Also see
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): monotonic (monotone)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): monotonic (monotone)