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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
\begin{equation} \forall p \in P, f(p) = y \end{equation} Please take note that this entry is not authoritative. If you know of a more standard definition of ``plateau'', please contribute it, thank you.
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"plateau" is owned by bshanks. [ full author list (2) ]
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Cross-references: points, path-connected, scalar, topological spaces, region, function
There are 2 references to this entry.
This is version 5 of plateau, born on 2002-08-28, modified 2005-03-29.
Object id is 3374, canonical name is Plateau.
Accessed 3869 times total.
Classification:
| AMS MSC: | 26B12 (Real functions :: Functions of several variables :: Calculus of vector functions) | | | 90-00 (Operations research, mathematical programming :: General reference works ) |
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Pending Errata and Addenda
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