# monotonically decreasing

A sequence $({s}_{n})$ is *monotonically decreasing* if

$$ |

Similarly, a real function $f(x)$ is monotonically decreasing if

$$ |

Compare this to monotonically nonincreasing.

Conflict note. In other context, such as [1], this is called *strictly decreasing*. When this is the case, “monotonically nonincreasing” is instead called “monotonically decreasing.”

## References

- 1 “http://www.nist.gov/dads/HTML/strictlyDecreasing.htmlstrictly decreasing,” from the NIST Dictionary of Algorithms and Data Structures, Paul E. Black, ed.

Title | monotonically decreasing |
---|---|

Canonical name | MonotonicallyDecreasing |

Date of creation | 2013-03-22 12:22:30 |

Last modified on | 2013-03-22 12:22:30 |

Owner | akrowne (2) |

Last modified by | akrowne (2) |

Numerical id | 8 |

Author | akrowne (2) |

Entry type | Definition |

Classification | msc 40-00 |

Synonym | monotone decreasing |

Synonym | strictly decreasing |

Related topic | MonotonicallyIncreasing |