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Informally, periodic events are events that repeat regularly in time (e.g., each Tuesday), and temporal periodicity is their temporal periodic pattern of repetition. A pattern is periodic if it can be represented by specifying a finite portion of it, and the duration of each repetition. For instance, supposing that day 1 is a Monday, the pair <‘day 2’, ‘7 days’> may implicitly represent all Tuesdays.
A useful generalization of periodic patterns is eventually periodic ones, i.e., patterns that can be expressed by the union of a periodic pattern and a finite nonperiodic one.
The above notion of periodic events can be further extended. For instance, Tuzhilin and Clifford [17] distinguish between strongly periodic events that occur at equally distant moments in time (e.g., a class, scheduled to meet once a week, on Wednesday at 11 a.m.); nearly periodicevents, occurring at regular periods, but not necessarily at equally distant moments of time...
Recommended Reading
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Terenziani, P. (2016). Temporal Periodicity. In: Liu, L., Özsu, M. (eds) Encyclopedia of Database Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4899-7993-3_405-2
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