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A sequence  (with real elements) is called monotonically nondecreasing if
Similarly, a real function  is called monotonically nondecreasing if
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.
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- ``monotonically increasing,'' from the NIST Dictionary of Algorithms and Data Structures, Paul E. Black, ed.
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