From da5391b56d7aacd8c18643f3854358536e01fef9 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Sat, 4 Jun 2022 12:42:32 +0200
Subject: Some work.

---
 frsb_kac-rice.tex | 14 ++------------
 1 file changed, 2 insertions(+), 12 deletions(-)

(limited to 'frsb_kac-rice.tex')

diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex
index 3d06e20..0fa768a 100644
--- a/frsb_kac-rice.tex
+++ b/frsb_kac-rice.tex
@@ -279,18 +279,8 @@ and
     +\frac12\int_0^1dq\,\left[
       \hat\epsilon^2\lambda(q)f''(q)
       +\frac1{\lambda(q)+R_d/\hat\epsilon}
-    \right]\\
-    -\mu R_d-\log\left(\frac1{2f''(1)}\left(\mu\pm\sqrt{\mu^2-4f''(1)}\right)\right)+\frac12\left(1+\frac\mu{2f''(1)}\left(\mu\pm\sqrt{\mu^2-4f''(1)}\right)\right)
+    \right]-\mu R_d+\frac12R_d^2f''(1)+\log R_d\\
+    +\operatorname{Re}\left\{\frac12\left(1+\frac\mu{2f''(1)}\left(\mu\pm\sqrt{\mu^2-4f''(1)}\right)\right)-\log\left(\frac1{2f''(1)}\left(\mu\pm\sqrt{\mu^2-4f''(1)}\right)\right)\right\}
 \end{align*}
-All that changes is now
-\[
-  R_d=\frac12\left(
-    (1-q^*)\hat\epsilon\pm\sqrt{
-      (1-q^*)\left(
-        (1-q^*)\hat\epsilon^2+8/[f'(1)-f'(q^*) - 2\mu/\hat\epsilon]
-      \right)
-    }
-  \right)
-\]
 
 \end{document}
-- 
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