From b9a6df95368e9a29237129d32b5a66dcb0d7a98e Mon Sep 17 00:00:00 2001
From: Thomas Ng <thomas.ng@link.cuhk.edu.hk>
Date: Tue, 31 Oct 2023 00:14:30 +0800
Subject: [PATCH] Update ms.tex

---
 src/tex/ms.tex | 5 ++---
 1 file changed, 2 insertions(+), 3 deletions(-)

diff --git a/src/tex/ms.tex b/src/tex/ms.tex
index 576a8f2..b01cdd8 100644
--- a/src/tex/ms.tex
+++ b/src/tex/ms.tex
@@ -49,7 +49,6 @@
 \acro{PE}{parameter estimation}
 \acro{FAR}{false-alarm rate}
 \acro{SNR}{signal-to-noise ratio}
-\acro{2D}{two-dimensional}
 \end{acronym}
 
 \section{Introduction}
@@ -335,7 +334,7 @@ \subsection{GWTC-3 result}
     \includegraphics[width=\columnwidth]{figures/corner_Gaussian.pdf}
     \caption{
         The posterior of the $\kappa$ population hyperparameters $\mu$ and $\sigma$, including (blue) and excluding (orange) GW200129 from the collection of events.
-        The \ac{2D} contours correspond to the $39.35\%$ and $90\%$ credible levels.
+        The two-dimensional (2D) contours correspond to the $39.35\%$ and $90\%$ credible levels.
         The plot shows that the population constraint on $\kappa$ is consistent with no birefringence ($\mu=\sigma=0$) at the 90\% credible level.
     }
     \label{fig:corner_Gaussian}
@@ -532,7 +531,7 @@ \subsubsection{GW200129}
         GW200129 posterior on $\kappa$, luminosity distance $d_L$, and inclination $\cos{\iota}$, including different sets of detectors in the analysis per the legend.
         The marginalized posterior on $\chi_p$ is shown in the top right panel.
         The main run with all three detectors (HLV, filled blue), shows a preference for $\kappa < 0$, as in Fig.~\ref{fig:violin_kappa}; this preference is more pronounced for two-detector runs that include Virgo (HV and LV, orange and green); however, it disappears if we remove Virgo (HL, dashed black).
-        The \ac{2D} contours correspond to the $90\%$ credible level.
+        The 2D contours correspond to the $90\%$ credible level.
     }
     \label{fig:corner_GW200129}
 \end{figure}