From 76744598b778dd585ed6bf2486f6075dfd6112d5 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Sat, 4 Jun 2022 18:25:27 +0200
Subject: Some changes.

---
 frsb_kac-rice.tex | 8 +++-----
 1 file changed, 3 insertions(+), 5 deletions(-)

(limited to 'frsb_kac-rice.tex')

diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex
index 3f5854c..87445c7 100644
--- a/frsb_kac-rice.tex
+++ b/frsb_kac-rice.tex
@@ -258,12 +258,10 @@ Taking the saddle with respect to $\mu$ and $F_d$ yields
 and gives
 \begin{align*}
   \Sigma
-  =-\epsilon\hat\epsilon+\lim_{n\to0}\frac1n\frac12\left(
-    n
-      \hat\epsilon R_df'(1)
-    +\hat\epsilon^2\sum_{ab}
+  =\epsilon\hat\epsilon+\hat\epsilon R_d f'(1)+\frac12D_df'(1)+\lim_{n\to0}\frac1n\frac12\left(
+    \hat\epsilon^2\sum_{ab}
       f(Q_{ab})
-    +\log\det(\hat\epsilon R_d^{-1} Q+I)
+    +\log\det(-D_dR_d^{-2} Q+I)
   \right)
 \end{align*}
 Finally, setting $0=\Sigma$ gives
-- 
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