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Periodic Functions

Definition: A function has period a, if the function values are repeated in intervals of width a:

f has period a : <=>
   f: R -> R /\  a in R /\  forall x in R: f(x+a) = f(x).

A function is periodic if it has some period:

f is periodic : <=> exists a in R: f has period a.

Example: f in previous example has period 1.

Author: Wolfgang Schreiner
Last Modification: December 14, 1999

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