# plateau

A plateau of a function is a region where a function has constant value.

More formally, let $U$ and $V$ be topological spaces. A plateau for a scalar function $f:U\to V$ is a path-connected set of points $P\subseteq U$ such that for some $y$ we have

 $\forall p\in P,f(p)=y$ (1)

Please take note that this entry is not authoritative. If you know of a more standard definition of “plateau”, please contribute it, thank you.

Title plateau Plateau 2013-03-22 12:59:48 2013-03-22 12:59:48 bshanks (153) bshanks (153) 8 bshanks (153) Definition msc 90-00 msc 26B12 Extremum