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author | siveshs <siveshs@gmail.com> | 2010-07-02 03:30:08 +0000 |
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committer | bnewbold <bnewbold@adelie.robocracy.org> | 2010-07-02 03:30:08 +0000 |
commit | 6d299375b982b107bb23d77a8b03cb987840ef20 (patch) | |
tree | 9454b79f9fc3119cb47c9ad9dcbd19b603847a2b | |
parent | 8f664a980dc1280d072171f494604e364c881157 (diff) | |
download | afterklein-wiki-6d299375b982b107bb23d77a8b03cb987840ef20.tar.gz afterklein-wiki-6d299375b982b107bb23d77a8b03cb987840ef20.zip |
still testing
-rw-r--r-- | Fourier Series.page | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/Fourier Series.page b/Fourier Series.page index e01441b..c7e26e2 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -5,12 +5,12 @@ We first begin with a few basic identities on the size of sets. Show that the se ##Why Fourier series is plausible?</b> 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: -<<<<<<< edited + $\sin^2(x) = ?$ $\sin^2(x) = ?$ -======= + $\sin^2(x) \tab = \tab ?$ ->>>>>>> 1912254d86a8c3b7254873663aeb813e628d51d8 + $$\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)\\ |