A mathematical theorem stating that a PERIODIC function f(x) which is reasonably continuous may be expressed as the sum of a series of sine or cosine terms (called the Fourier series), each of which ...

We had a hint that this might happen. Look back at Dirichlet's theorem in the lecture notes. There is says when discontinuities appear in the forcing, the resulting Fourier series will converge to the ...

According to the FOURIER THEOREM, periodic sound may be shown to consist of SINE WAVEs in the HARMONIC SERIES, where the Fourier coefficients give the AMPLITUDE and PHASE angle of each component.