Manu: minor correction
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@ -66,7 +66,9 @@ density-driven correlations [62,92-94] (which, by construction, are absent from
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\alert{The density $n$ used in Eq.~(21), (9), (10) can be any density and does not represent any specific density.
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\alert{The density $n$ used in Eq.~(21), (9), (10) can be any density and does not represent any specific density.
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In the case of Eq.~(21), we simply present the well-known Dirac-exchange density functional and, by definition of a density functional, does not need to specify in its formulation to which density it is applied but only that it is a mathematical object applying to any density $n(r)$.
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In the case of Eq.~(21), we simply present the well-known Dirac-exchange density functional and, by definition of a density functional, does not need to specify in its formulation to which density it is applied but only that it is a mathematical object applying to any density $n(r)$.
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Of course, when we will use this functional or any other one in our work we will surely apply it to the ensemble density $n^w(r)$ and the notation will be carefully modified accordingly. }
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Of course, when we will use this functional or any other one in
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our work we will surely apply it to the {\it minimizing} ensemble density
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$n^w(r)$ [see Eqs. (5) and (11)] and the notation will be carefully modified accordingly.}
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\item
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\item
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{Change "Third, we add up correlation effects" to "Third, we include correlation effects"}
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{Change "Third, we add up correlation effects" to "Third, we include correlation effects"}
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