From 4f53708c3509770b6aa4597279fe1d07976d97d5 Mon Sep 17 00:00:00 2001
From: Luke Naylor <l.naylor@sms.ed.ac.uk>
Date: Wed, 10 May 2023 00:38:03 +0100
Subject: [PATCH] Adjust equations for bounds on d at beta_{-}

---
 main.tex | 18 +++++++++---------
 1 file changed, 9 insertions(+), 9 deletions(-)

diff --git a/main.tex b/main.tex
index 5120dc1..9eb8b66 100644
--- a/main.tex
+++ b/main.tex
@@ -556,19 +556,19 @@ vertical wall (TODO as discussed in ref).
 
 \begin{align}
 	d &\geq&
-	\sage{bgmlv1_d_lowerbound_const_term_alt.subs(chbv == 0)}
-	&+ \sage{bgmlv1_d_lowerbound_linear_term}
-	&+ \sage{bgmlv1_d_lowerbound_exp_term_alt.subs(chbv == 0)}
+	\sage{bgmlv1_d_lowerbound_linear_term}
+	&+ \sage{bgmlv1_d_lowerbound_const_term_alt.subs(chbv == 0)}
+	+& \sage{bgmlv1_d_lowerbound_exp_term_alt.subs(chbv == 0)}
 \\
 	d &\leq&
-	\sage{bgmlv2_d_upperbound_const_term}
-	&+ \sage{bgmlv2_d_upperbound_linear_term}
-	&+ \sage{bgmlv2_d_upperbound_exp_term}
+	\sage{bgmlv2_d_upperbound_linear_term}
+	&+ \sage{bgmlv2_d_upperbound_const_term}
+	+& \sage{bgmlv2_d_upperbound_exp_term}
 \\
 	d &\leq&
-	\sage{bgmlv3_d_upperbound_const_term_alt.subs(chbv == 0)}
-	&+ \sage{bgmlv3_d_upperbound_linear_term}
-	&+ \sage{bgmlv3_d_upperbound_exp_term_alt.subs(chbv == 0)}
+	\sage{bgmlv3_d_upperbound_linear_term}
+	&+ \sage{bgmlv3_d_upperbound_const_term_alt.subs(chbv == 0)}
+	+& \sage{bgmlv3_d_upperbound_exp_term_alt.subs(chbv == 0)}
 \end{align}
 
 
-- 
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