Peter Otten wrote: > [EMAIL PROTECTED] wrote: > > >> sine is a dimensionless value. >> if we expand sine in taylor series sin(x) = x - (x^3)/6 + (x^5)/120 >> etc. >> you can see that sin can be dimensionless only if x is dimensionless >> too. >> > > With y = x^2 = 1/3 pi^2 - 4(cos x - cos(2x)/2^2 + cos(3x)/3^2 - ...) > > area is dimensionless, too, I suppose. > No, its not dimensionless (phew, that took me a while ... got pretty anxious there for a moment):
If you look at the definition of the fourier coefficients on the page you presented (http://www.exampleproblems.com/wiki/index.php/FS6), you'll see that they have the same unit as f(x) (or y(x) as in your example). Which, btw, is VERY MUCH desired because all science (and with it the universe, mind you!) would blow up if functions didn't have the same unit as any of their series expansions. After all, they are meant to *replace* the function. Man! You scared me good! :D Oh my, remember when we used to discuss murderous snakes and silly British comedians on this group? I hardly do ... /W -- http://mail.python.org/mailman/listinfo/python-list
