Question

If we see

f(t+T)=f(t)

Can we assume

f((t+T)+T)=f(t)

Answer 1

f((t+T)+T) = f(t+T) =f(t)

Answer 2

So, I guess yes

Answer 3

That'd be a true assertion if the first statement is true for all \(t\).
We can assume \(t = t + T\) and carry on...

Answer 4

f(t) periodic with time T
so, \(f(t \pm nT)=f(t)\)
also true.

Answer 5

yes, that is the definition of a periodic function
however I would not say t= t+T, only that f(t)=f(t+T)

Answer 6

Is \(T\) not a variable?

Answer 7

Ah, it is a periodic function indeed.

Answer 8

presumably they mean T is a constant here...

Answer 9

http://en.wikipedia.org/wiki/Periodic_function

Answer 10

Yes, exactly I'm just making sure this is something implied by the statement f(t+T)=f(t) thank you very much everyone! =D