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monotonically decreasing
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(Definition)
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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.”
- 1
- ``strictly decreasing,'' from the NIST Dictionary of Algorithms and Data Structures, Paul E. Black, ed.
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"monotonically decreasing" is owned by akrowne.
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(view preamble)
Cross-references: monotonically nonincreasing, real function, sequence
There are 12 references to this entry.
This is version 5 of monotonically decreasing, born on 2002-02-18, modified 2005-08-16.
Object id is 2130, canonical name is MonotonicallyDecreasing.
Accessed 9236 times total.
Classification:
| AMS MSC: | 40-00 (Sequences, series, summability :: General reference works ) |
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Pending Errata and Addenda
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