Monotone Function

Last updated Nov 1, 2022

An Order-Preserving Function

A Function that is either Non-Decreasing Function or Non-Increasing Function

This term is Overloaded. Definition 2 usually applies when we are dealing with Total Orderings, usually $\mathbb{R}$ or $\mathbb{Z}$. To avoid confusion I’ll opt for Order-Preserving Function instead of definition 1.