monotonically nondecreasing

A sequence $(s_{n})$ (with real elements) is called monotonically nondecreasing if

s_{m}\geq s_{n}\;\forall\;m>n

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

f(x)\geq f(y)\;\forall\;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