# monotonically decreasing

A sequence $(s_{n})$ is monotonically decreasing if

 $s_{m}n$

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

 $f(x)y$

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 MonotonicallyDecreasing 2013-03-22 12:22:30 2013-03-22 12:22:30 akrowne (2) akrowne (2) 8 akrowne (2) Definition msc 40-00 monotone decreasing strictly decreasing MonotonicallyIncreasing