Definition:Increasing Mapping/Also known as
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Increasing Mapping: Also known as
An increasing mapping is also referred to as an increasing function.
An increasing mapping is also known as isotone or non-decreasing.
In contexts where the ordering in question is more general than in the context of numbers, the term order-preserving mapping is often more appropriate than increasing mapping.
Some authors refer to this concept as a monotone mapping, but that term has a different meaning on ProofWiki.
Beware that some authors who use the term order-preserving mapping use it to define what on $\mathsf{Pr} \infty \mathsf{fWiki}$ is referred to as an order embedding.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): increasing function
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): increasing function