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| -rw-r--r-- | Fourier Series.page | 5 |
1 files 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?</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> |