From ca74ddb53be77da0786d8ee54b96a62ca91b35ce Mon Sep 17 00:00:00 2001 From: siveshs Date: Fri, 2 Jul 2010 03:08:11 +0000 Subject: still testing --- Fourier Series.page | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/Fourier Series.page b/Fourier Series.page index 44c3ee4..cbda2c8 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -5,8 +5,9 @@ We first begin with a few basic identities on the size of sets. Show that the set of possible functions representing sets is not larger than the set of available functions? ##Why Fourier series is plausible? -To show that Fourier series is plausible, let us consider some fairly random functions and see if it is possible to express them as the sum of sines and cosines: - $1. \cos(2x) = 1 - 2 \sin^2(x)$ +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: + $1. \cos(2x) = 1 - 2 \sin^2(x)$ +\therefore \sin^2(x) = 1/2 - \cos(2x)/2 ##What is the Fourier series actually? -- cgit v1.2.3