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authorsiveshs <siveshs@gmail.com>2010-07-02 03:08:11 +0000
committerbnewbold <bnewbold@adelie.robocracy.org>2010-07-02 03:08:11 +0000
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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?</b>
-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?</b>