diff --git a/Response_Letter/Response_Letter.tex b/Response_Letter/Response_Letter.tex index 1f2a85d..cd76c27 100644 --- a/Response_Letter/Response_Letter.tex +++ b/Response_Letter/Response_Letter.tex @@ -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.