deletions | additions       diff --git a/We_can_define_the_Fourier__.tex b/We_can_define_the_Fourier__.tex  index 31762cf..27e3e10 100644  --- a/We_can_define_the_Fourier__.tex  +++ b/We_can_define_the_Fourier__.tex 
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To factor equation~\ref{eq:fourier} into a form that we can use with the hypergeometric functions we want to have  \begin{equation}  z^3 + C D  = 2\pi\left((f_k-f)t + \frac{t^2}{2}\dot{f}_k + \frac{t^3}{6}\ddot{f}_k \right). \end{equation}  If we use $z = At (A+B)t  + B$, C$,  then $z^3 = A^3t^3 (A+B)^3t^3  + 3A^2Bt^2 3C(A+B)^2t^2  + 3AB^2t 3C^2(A+B)t  + B^3$. C^3$.  Firstly, we can factor it into sine and cosine parts to give  \begin{align}