monotonically decreasing
A sequence is monotonically decreasing if
Similarly, a real function 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 |
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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 |