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Manu: saving work

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Emmanuel Fromager 2020-05-07 09:39:50 +02:00
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Response_Letter/Response_Letter.tex
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@ -142,7 +142,17 @@ gives more insight into eLDA.}
\item
{Page 7: In the penultimate paragraph on this page, the discussion of Eqns 47 and 49 and the variation in the ensemble weights touches on one of the more subtle results of the GIC-eLDA, in my opinion, so it would be best to more explicitly describe this and its tie to the aforementioned equations.}
\\
\alert{bla bla bla}
\alert{For clarity, the discussion (which, indeed, consisted of a single
and brief sentence in the original manuscript) has been substantially
extended. In order to rationalize the observed linear or quadratic
variations of the individual GIC-eLDA energies, we first refer to Eqns 47
and 49 and mention explicitly that we use these expressions (which
are valid around the uniform density regime)
for {\it analysis} purposes only. The subsequent analysis, where we
highlight the terms that are
responsible for both linear and quadratic variations, is in perfect
agreement with our observations, thus illustrating the relevance and
usefulness of the Taylor expansions.}
\item
{Fig. 1: It would be nice to see plots of these exact quantities for comparison, since there are layers of approximation and assumptions here.