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| author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2021-10-26 12:10:51 +0200 |
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| committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2021-10-26 12:10:51 +0200 |
| commit | 2242fbad78679e941037b4a319508a4d2ed5a58c (patch) | |
| tree | 1659452fb0780da779de57fc9d3bdbba77bb3668 /ising_scaling.tex | |
| parent | b4b217a9bb968b3b09ec2b2cdd64dc3377f19721 (diff) | |
| download | paper-2242fbad78679e941037b4a319508a4d2ed5a58c.tar.gz paper-2242fbad78679e941037b4a319508a4d2ed5a58c.tar.bz2 paper-2242fbad78679e941037b4a319508a4d2ed5a58c.zip | |
Reformatted table in source.
Diffstat (limited to 'ising_scaling.tex')
| -rw-r--r-- | ising_scaling.tex | 77 |
1 files changed, 61 insertions, 16 deletions
diff --git a/ising_scaling.tex b/ising_scaling.tex index b8c4d79..5c1612d 100644 --- a/ising_scaling.tex +++ b/ising_scaling.tex @@ -586,22 +586,67 @@ to their known values at the critical isotherm, or $\theta=1$. \begin{table} \begin{tabular}{r|lll} - \multicolumn1{c|}{$m$} & \multicolumn{1}{c}{$\mathcal F_-^{(m)}$} & \multicolumn{1}{c}{$\mathcal F_0^{(m)}$} & \multicolumn1c{$\mathcal F_+^{(m)}$} \\\hline - 0 & \hphantom{$-$}0 & $-1.197\,733\,383\,797\ldots$ & \hphantom{$-$}0 \\ - 1 & $-1.357\,838\,341\,707\ldots$ & \hphantom{$-$}$0.318\,810\,124\,891\ldots$ & \hphantom{$-$}0 \\ - 2 & $-0.048\,953\,289\,720\ldots$ & \hphantom{$-$}$0.110\,886\,196\,683(2)$ & $-1.845\,228\,078\,233\ldots$ \\ - 3 & \hphantom{$-$}$0.038\,863\,932(3)$ & $-0.016\,426\,894\,65(2)$ & \hphantom{$-$}0 \\ - 4 & $-0.068\,362\,119(2)$ & $-2.639\,978(1)\times10^{-4}$ & \hphantom{$-$}$8.333\,711\,750(5)$ \\ - 5 & \hphantom{$-$}$0.183\,883\,70(1)$ & \hphantom{$-$}$5.140\,526(1)\times10^{-4}$ & \hphantom{$-$}0 \\ - 6 & $-0.659\,171\,4(1)$ & \hphantom{$-$}$2.088\,65(1)\times 10^{-4}$ & $-95.168\,96(1)$ \\ - 7 & \hphantom{$-$}$2.937\,665(3)$ & \hphantom{$-$}$4.481\,9(1)\times10^{-5}$ & \hphantom{$-$}0 \\ - 8 & $-15.61(1)$ & \hphantom{$-$}$3.16\times10^{-7}$ & \hphantom{$-$}1457.62(3) \\ - 9 & \hphantom{$-$}96.76 & $-4.31\times10^{-6}$ & \hphantom{$-$}0 \\ - 10 & $-679$ & $-1.99\times10^{-6}$ & $-25\,891(2)$ \\ - 11 & \hphantom{$-$}$5.34\times10^3$ & & \hphantom{$-$}0 \\ - 12 & $-4.66\times10^4$ & & \hphantom{$-$}$5.02\times10^5$ \\ - 13 & \hphantom{$-$}$4.46\times10^5$ & & \hphantom{$-$}0 \\ - 14 & $-4.66\times10^6$ & & $-1.04\times10^7$ + \multicolumn1{c|}{$m$} & + \multicolumn{1}{c}{$\mathcal F_-^{(m)}$} & + \multicolumn{1}{c}{$\mathcal F_0^{(m)}$} & + \multicolumn1c{$\mathcal F_+^{(m)}$} \\ + \hline + 0 & + \hphantom{$-$}0 & + $-1.197\,733\,383\,797\ldots$ & + \hphantom{$-$}0 \\ + 1 & + $-1.357\,838\,341\,707\ldots$ & + \hphantom{$-$}$0.318\,810\,124\,891\ldots$ & + \hphantom{$-$}0 \\ + 2 & + $-0.048\,953\,289\,720\ldots$ & + \hphantom{$-$}$0.110\,886\,196\,683(2)$ & + $-1.845\,228\,078\,233\ldots$ \\ + 3 & + \hphantom{$-$}$0.038\,863\,932(3)$ & + $-0.016\,426\,894\,65(2)$ & + \hphantom{$-$}0 \\ + 4 & + $-0.068\,362\,119(2)$ & + $-2.639\,978(1)\times10^{-4}$ & + \hphantom{$-$}$8.333\,711\,750(5)$ \\ + 5 & + \hphantom{$-$}$0.183\,883\,70(1)$ & + \hphantom{$-$}$5.140\,526(1)\times10^{-4}$ & + \hphantom{$-$}0 \\ + 6 & + $-0.659\,171\,4(1)$ & + \hphantom{$-$}$2.088\,65(1)\times 10^{-4}$ & + $-95.168\,96(1)$ \\ + 7 & + \hphantom{$-$}$2.937\,665(3)$ & + \hphantom{$-$}$4.481\,9(1)\times10^{-5}$ & + \hphantom{$-$}0 \\ + 8 & + $-15.61(1)$ & + \hphantom{$-$}$3.16\times10^{-7}$ & + \hphantom{$-$}1457.62(3) \\ + 9 & + \hphantom{$-$}96.76 & + $-4.31\times10^{-6}$ & + \hphantom{$-$}0 \\ + 10 & + $-679$ & + $-1.99\times10^{-6}$ & + $-25\,891(2)$ \\ + 11 & + \hphantom{$-$}$5.34\times10^3$ & & + \hphantom{$-$}0 \\ + 12 & + $-4.66\times10^4$ & & + \hphantom{$-$}$5.02\times10^5$ \\ + 13 & + \hphantom{$-$}$4.46\times10^5$ & & + \hphantom{$-$}0 \\ + 14 & + $-4.66\times10^6$ & & + $-1.04\times10^7$ \end{tabular} \caption{ Known series coefficients for the universal scaling functions. This with |