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| -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)\\ |