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| -rw-r--r-- | Fourier Series.page | 2 |
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diff --git a/Fourier Series.page b/Fourier Series.page index e81cd7d..b12721d 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -5,7 +5,7 @@ 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: -$\sin^2(x) = ?$ +$\sin^2(x) \tab = \tab ?$ $$\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)\\ |