Manu: minor change in III B
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@ -920,7 +920,7 @@ Based on highly-accurate calculations (see {\SI} for additional details), one ca
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where the $a_k^{(I)}$'s are state-specific fitting parameters provided in Table \ref{tab:OG_func}.
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where the $a_k^{(I)}$'s are state-specific fitting parameters provided in Table \ref{tab:OG_func}.
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The value of $a_1^{(I)}$ is obtained via the exact high-density expansion of the correlation energy. \cite{Loos_2013a, Loos_2014a}
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The value of $a_1^{(I)}$ is obtained via the exact high-density expansion of the correlation energy. \cite{Loos_2013a, Loos_2014a}
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Equation \eqref{eq:ec} provides three state-specific correlation DFAs based on a two-electron system.
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Equation \eqref{eq:ec} provides three state-specific correlation DFAs based on a two-electron system.
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Combining these, one can build a three-state weight-dependent correlation eDFA:
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Combining these, one can build the following three-state weight-dependent correlation eDFA:
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\begin{equation}
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\begin{equation}
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\label{eq:ecw}
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\label{eq:ecw}
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\e{c}{\bw}(\n{}{}) = (1-\ew{1}-\ew{2}) \e{c}{(0)}(\n{}{}) + \ew{1} \e{c}{(1)}(\n{}{}) + \ew{2} \e{c}{(2)}(\n{}{}).
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\e{c}{\bw}(\n{}{}) = (1-\ew{1}-\ew{2}) \e{c}{(0)}(\n{}{}) + \ew{1} \e{c}{(1)}(\n{}{}) + \ew{2} \e{c}{(2)}(\n{}{}).
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