Definition:Monotone
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Monotone may refer to:
- Mappings:
- Monotone (Mapping Theory): A mapping from one ordered set to another is monotone iff it is either increasing or decreasing.
- Monotone (Measure Theory): A mapping $f: \mathcal S \to \R$ on an algebra of sets $\mathcal S$ is monotone iff $A \subseteq B \iff f \left({A}\right) \le f \left({B}\right)$.
- Monotone Class: A collection of subsets closed under countable intersections and unions.
