From 1912254d86a8c3b7254873663aeb813e628d51d8 Mon Sep 17 00:00:00 2001 From: siveshs Date: Fri, 2 Jul 2010 03:28:16 +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 e81cd7d..b12721d 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -5,7 +5,7 @@ We first begin with a few basic identities on the size of sets. Show that the se ##Why Fourier series is plausible? 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: -$\sin^2(x) = ?$ +$\sin^2(x) \tab = \tab ?$ $$\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