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A Function is said to be periodic with period
if
for
, 2, .... For example, the
Sine function
is periodic with period
(as well as with period
,
,
, etc.).
The Constant Function is periodic with any period
for all Nonzero Real Numbers
, so there is no concept analogous to the Least Period or a Periodic Point for constant functions.
See also Periodic Point, Periodic Sequence
References
Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York:
McGraw-Hill, pp. 425-427, 1953.
Spanier, J. and Oldham, K. B. ``Periodic Functions.'' Ch. 36 in An Atlas of Functions.
Washington, DC: Hemisphere, pp. 343-349, 1987.