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monotonically increasing
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(Definition)
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A sequence  ,
 is called monotonically increasing if
Similarly, a real function  is called monotonically increasing if
Compare this to monotonically nondecreasing.
Conflict note. This condition is also sometimes called strictly increasing [1]. In such a context, “monotonically increasing” has the same meaning as monotonically nondecreasing.
- 1
- ``strictly increasing,'' from the NIST Dictionary of Algorithms and Data Structures, Paul E. Black, ed.
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"monotonically increasing" is owned by akrowne.
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(view preamble)
Cross-references: monotonically nondecreasing, real function, sequence
There are 22 references to this entry.
This is version 7 of monotonically increasing, born on 2002-02-18, modified 2005-08-16.
Object id is 2134, canonical name is MonotonicallyIncreasing.
Accessed 23940 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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