Answering my own question on the Fourier Series

OK, well one of the great things about blogging is that it helps clarify your thoughts and so it has proved. Further fiddling with the spreadsheet and general thought has made me realise that the Kronecker Delta \delta_{mn} applies to integer values of m and n and that neither \int_{-\pi}^\pi sin(x)sin(2.5x) nor \int_{-\pi}^\pi sin(x)sin(9.5x) are zero – as the graphs actually suggest anyway….

sinxsiny y = 2.5x, y = 9.5xIt’s just more noticeable when the multiple is under 2.

So, you may ignore this.



  1. Just in case you have not thought of…

    Symbolic computer algebra systems, such as Maple, Mathematica, Maxima, might be more handy for your experiments. Maxima is a free software.

Comments are closed.