Properties
If a function f is periodic with period P, then for all x in the domain of f and all integers n,
- f(x + nP) = f(x).
If f(x) is a function with period P, then f(ax+b), where a is a positive constant, is periodic with period P/a. For example, f(x)=sinx has period 2π, therefore sin(5x) will have period 2π/5.
Read more about this topic: Periodic Function
Famous quotes containing the word properties:
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—John Locke (1632–1704)
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—Ralph Waldo Emerson (1803–1882)