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| author | siveshs <siveshs@gmail.com> | 2010-07-02 03:05:21 +0000 |
|---|---|---|
| committer | bnewbold <bnewbold@adelie.robocracy.org> | 2010-07-02 03:05:21 +0000 |
| commit | 32c0eb851196794209d1f2750affe869def0f2e1 (patch) | |
| tree | 88e068e1053cbfd1f085609694742b6118c90284 /Fourier Series.page | |
| parent | a656dec9c4a4dedf193dfd1223f15fddb55f40cb (diff) | |
| download | afterklein-wiki-32c0eb851196794209d1f2750affe869def0f2e1.tar.gz afterklein-wiki-32c0eb851196794209d1f2750affe869def0f2e1.zip | |
playing with the wiki
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| -rw-r--r-- | Fourier Series.page | 16 |
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diff --git a/Fourier Series.page b/Fourier Series.page index 403c20c..eab8daf 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -1,12 +1,16 @@ <b>Lecture on Fourier Series:</b> -1. Why Fourier is possible? -2. Why Fourier series is plausible? -3. What is the Fourier series actually? -4. Why is Fourier series useful? -<b>Why Fourier series possible?</b> +##Why Fourier series possible?</b> 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? -<b>Why Fourier series is plausible?</b> +##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: $x^2$ + $$1. \cos(2x) = 1 - 2 \sin^2(x)$$ + +##What is the Fourier series actually?</b> + +##Why is Fourier series useful? </b> + +$(\nearrow)\cdot(\uparrow)=(\nwarrow)$
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