monotonically nondecreasing
A sequence (sn) (with real elements) is called monotonically nondecreasing if
| sm≥sn∀m>n |
Similarly, a real function f(x) is called monotonically nondecreasing if
| f(x)≥f(y)∀x>y |
Compare this to monotonically increasing.
Conflict note. In other contexts, such as [1], this is called monotonically increasing (despite the fact that the sequence could be “flat.” In such a context, our definition of “monotonically increasing” is called strictly increasing.
References
- 1 “http://www.nist.gov/dads/HTML/monotoncincr.htmlmonotonically increasing,” from the NIST Dictionary of Algorithms and Data Structures, Paul E. Black, ed.
| Title | monotonically nondecreasing |
|---|---|
| Canonical name | MonotonicallyNondecreasing |
| Date of creation | 2013-03-22 12:22:38 |
| Last modified on | 2013-03-22 12:22:38 |
| Owner | akrowne (2) |
| Last modified by | akrowne (2) |
| Numerical id | 8 |
| Author | akrowne (2) |
| Entry type | Definition |
| Classification | msc 40-00 |
| Synonym | monotone nondecreasing |
| Related topic | MonotonicallyNonincreasing |