From c9d0f1602dd8e97804c7512783f8e94c31f72469 Mon Sep 17 00:00:00 2001 From: siveshs Date: Fri, 2 Jul 2010 03:26:30 +0000 Subject: still testing --- Fourier Series.page | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Fourier Series.page b/Fourier Series.page index efa2b85..6159544 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -6,7 +6,7 @@ We first begin with a few basic identities on the size of sets. Show that the se To show that Fourier series is plausible, let us consider some arbitrary trignometric functions and see if it is possible to express them as the sum of sines and cosines: $$ -\sin^2(x) & = & ?\\ +\sin^2(x) = ?\\ \begin{array}{ccl} & = & 1+iy-\frac{y^{2}}{2!}-i\frac{y^{3}}{3!}+\frac{y^{4}}{4!}+i\frac{y^{5}}{5!}+\cdots\\ & = & (1-\frac{y^{2}}{2!}+\frac{y^{4}}{4!}+\cdots)+i(y-\frac{y^{3}}{3!}+\frac{y^{5}}{5!}-\cdots)\\ -- cgit v1.2.3