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Update equations
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\begin{document}
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\begin{eqnarray*}
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E &=& \frac{1}{2} \sum_{i} \sum_{j\notin\text{layer}\,i} (\phi_{ij} + \phi_{ji}) \\
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\phi_{ij} &=& f_\text{c}(x_r) \left[ e^{-\lambda(r_{ij} - z_0 )} \left[C+f(\rho_{ij})+ g(\rho_{ij}, \{\alpha_{ij}^{(m)}\}) \right]- A\left (\frac{z_0}{r_{ij}} \right)^6 \right] \\
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E &=& \frac{1}{2} \sum_{i} \sum_{j\notin\text{layer}\,i} \phi_{ij} \\\phi_{ij} &=& f_\text{c}(x_r) \left[ e^{-\lambda(r_{ij} - z_0 )} \left[C+f(\rho_{ij})+ g(\rho_{ij}, \{\alpha_{ij}^{(m)}\}) \right]- A\left (\frac{z_0}{r_{ij}} \right)^6 \right] \\
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\end{eqnarray*}
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