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\documentstyle[12pt]{article}
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\begin{document}
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$$
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E_{Pauli(ECP_p)}=p_1\left( \frac{2}{p_2/s+s/p_2} \right)\left( r-p_3s\right)^2\exp \left[ -\frac{p_4\left( r-p_3s \right)^2}{p_5+s^2} \right]
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$$
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\end{document}
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\documentstyle[12pt]{article}
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\begin{document}
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$$
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E_{Pauli(ECP_s)}=p_1\exp\left(-\frac{p_2r^2}{p_3+s^2} \right)
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$$
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\end{document}
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