From 97c829f7a37f6877754b8ad57d8972fee16bd8b7 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Wed, 27 Oct 2021 19:05:35 +0200
Subject: New fit parameters in table.
---
ising_scaling.tex | 144 ++++++++++++++++++++++++++----------------------------
1 file changed, 68 insertions(+), 76 deletions(-)
diff --git a/ising_scaling.tex b/ising_scaling.tex
index 744f2d5..0bf301e 100644
--- a/ising_scaling.tex
+++ b/ising_scaling.tex
@@ -691,95 +691,87 @@ to their known values at the critical isotherm, or $\theta=1$.
\begin{tabular}{|c|lllllll}
\hline
\multicolumn{1}{|c|}{$n$} &
+ \multicolumn{1}{c}{$\theta_0$} &
\multicolumn{1}{c}{$\theta_\mathrm{YL}$} &
\multicolumn{1}{c}{$C_\mathrm{YL}$} &
\multicolumn{1}{c}{$G_1$} &
\multicolumn{1}{c}{$G_2$} &
\multicolumn{1}{c}{$G_3$} &
- \multicolumn{1}{c}{$G_4$} &
- \multicolumn{1}{c}{$G_5$} \\
+ \multicolumn{1}{c}{$G_4$} \\
\hline
2 &
- 0.198152 &
- 2.39338 &
- 1.52182 &
- 0.455868 \\
+ 1.14841 &
+ 0.989667 &
+ $-0.172824$ &
+ $-0.310183$ &
+ 0.247454 \\
3 &
- 0.199048 &
- 2.25700 &
- 1.30767 &
- 0.396157 \\
+ 1.25421 &
+ 0.602056 &
+ $-0.385664$ &
+ $-0.352751$ &
+ 0.258243 \\
4 &
- 0.198918 &
- 2.36150 &
- 1.46058 &
- 0.307198 &
- \hphantom{$-$}0.0323334 \\
+ 1.31649 &
+ 0.640019 &
+ $-0.356397$ &
+ $-0.355055$ &
+ 0.234659 &
+ $-0.00190837$ \\
5 &
- 0.198100 &
- 2.43224 &
- 1.55298 &
- 0.362791 &
- $-0.108393$ &
- 0.0228573 \\
+ 1.34032 &
+ 0.623811 &
+ $-0.380029$ &
+ $-0.351275$ &
+ 0.237046 &
+ $-0.00731973$ \\
6 &
- 0.197027 &
- 2.45864 &
- 1.59639 &
- 0.484865 &
- $-0.119149$ &
- 0.0150607 \\
- 7 &
- 0.196809 &
- 2.49636 &
- 1.65176 &
- 0.54349 &
- $-0.141089$ &
- 0.00877823 &
- $-0.00110698$ \\
- \hline
- \end{tabular}
- \begin{tabular}{|c|llllll}
- \hline
- $n$ &
- \multicolumn{1}{c}{$\theta_0$} &
- \multicolumn{1}{c}{$g_1$} &
- \multicolumn{1}{c}{$g_2$} &
- \multicolumn{1}{c}{$g_3$} &
- \multicolumn{1}{c}{$g_4$} &
- \multicolumn{1}{c}{$g_5$} \\
- \hline
- 2 &
- 1.22182 &
- $-0.0140696$ \\
- 3 &
- 1.33128 &
- $-0.0144135$ &
- $-0.000233014$ \\
- 4 &
- 1.33106 &
- $-0.0268822$ &
- \hphantom{$-$}$0.0332121$ \\
- 5 &
- 1.51661 &
- $-0.248646$ &
- \hphantom{$-$}$0.0513219$ &
- $0.00433870$ \\
- 6 &
- 1.37654 &
- $-0.236244$ &
- $-0.00860939$ &
- 0.00204312 &
- $-0.000954046$ \\
- 7 &
- 1.33161 &
- $-0.252714$ &
- $-0.0308462$ &
- 0.00491578 &
- \hphantom{$-$}0.000264989 &
- $-0.000210698$ \\
+ 1.36261 &
+ 0.646215 &
+ $-0.355764$ &
+ $-0.352058$ &
+ 0.233166 &
+ $-0.00664903$ &
+ $-0.00168991$ \\
\hline
\end{tabular}
+ \begin{tabular}{|c|llllll}
+ \hline
+ $n$ &
+ \multicolumn{1}{c}{$g_0$} &
+ \multicolumn{1}{c}{$g_1$} &
+ \multicolumn{1}{c}{$g_2$} &
+ \multicolumn{1}{c}{$g_3$} &
+ \multicolumn{1}{c}{$g_4$} &
+ \multicolumn{1}{c}{$g_5$} \\
+ \hline
+ 2 &
+ 0.373691 &
+ $-0.0216363$ \\
+ 3 &
+ 0.448379 &
+ $-0.0220323$ &
+ \hphantom{$-$}0.000222006 \\
+ 4 &
+ 0.441074 &
+ $-0.0348177$ &
+ \hphantom{$-$}0.000678173 &
+ $-0.0000430514$ \\
+ 5 &
+ 0.443719 &
+ $-0.0460994$ &
+ $-0.000745834$ &
+ \hphantom{$-$}0.0000596688 &
+ $-0.00000440308$ \\
+ 6 &
+ 0.438453 &
+ $-0.0531270$ &
+ $-0.00391478$ &
+ $-0.000408016$ &
+ \hphantom{$-$}0.0000262629 &
+ $-0.00000109745$ \\
+ \hline
+ \end{tabular}
\caption{
Free parameters in the fit of the parametric coordinate transformation and
scaling form to known values of the scaling function series coefficients
--
cgit v1.2.3-70-g09d2