deletions | additions       diff --git a/In_the_manner_we_can__.tex b/In_the_manner_we_can__.tex  index 89a9951..acb3dd4 100644  --- a/In_the_manner_we_can__.tex  +++ b/In_the_manner_we_can__.tex 
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In the manner, we can visualize the problem in the $h(k_x,k_y)$. $h(k_x,k_y)$ form. We can rewrite the spectrum in the following way.  \begin{equation}  h(k_{x},h_{y})=\begin{pmatrix} Asink_x \\ Asink_y \\ \Delta+cos(k_{x})+cos(k_{y}) \\ \end{pmatrix}  \end{end}