Periodic versus non-periodic functions (hw1, ECE301)

Read the instructor's comments here.

A function is said to be periodic (or, when emphasizing the presence of a single period instead of multiple periods, singly periodic) with period if

                        f(x)=f(x+np)

where n=1,2.........

     p is the Fundamental Period

The constant function is periodic with any period for all nonzero real numbers , so there is no concept analogous to the least period for constant functions.

An aperiodic function never repeats, although technically an aperiodic function can be considered like a periodic function with an infinite period.

                         f(x+p)=-f(x)