# 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 |
---|---|

Canonical name | Plateau |

Date of creation | 2013-03-22 12:59:48 |

Last modified on | 2013-03-22 12:59:48 |

Owner | bshanks (153) |

Last modified by | bshanks (153) |

Numerical id | 8 |

Author | bshanks (153) |

Entry type | Definition |

Classification | msc 90-00 |

Classification | msc 26B12 |

Related topic | Extremum |