<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">%% MIT Thesis class sample appendix with a long table
%% version 1.02, 2024/09/07

\chapter{One-term coefficients for heat conduction}

\section{A multipage table of numbers}
This example uses the \texttt{longtable} package: $\theta = A_1 f_1 \exp(-\lambda_1^2\mkern2mu\mathrm{Fo})$, $\overline{\theta} = D_1 \exp(-\lambda_1^2\mkern2mu\mathrm{Fo})$.


%% These four lines change the dcolumn to use text figures, instead of math figures.
%% The reason is that some mitthesis font sets use different typefaces for text and math
%% See: https://tex.stackexchange.com/a/376127/119566
\makeatletter
	\newcolumntype{T}[3]{&gt;{\textfont0 =\the\font\DC@{#1}{#2}{#3}}c&lt;{\DC@end}}
	\newcolumntype{d}[1]{T{.}{.}{#1}}% overwrites definition in root .tex file + gives warning message
\makeatother

{\footnotesize
% read documentation of longtable package for info on setting up a long table
% read documentation of array package and dcolumn package for info on column format specifiers
\renewcommand{\doublerulesep}{0pt}%
\newcolumntype{X}{&gt;{\hspace{1ex}}c@{\hspace{2ex}}c@{\hspace{2ex}}c&lt;{\hspace{1ex}}}%

\begin{longtable}{|||d{3.2}|X|X|X|||}

\caption{One-term coefficients for one-dimensional heat conduction with a convective boundary condition. Data follow H. D. Baehr and K. Stephan~\cite{baehr1998}.}%

\\
\hline\hline\hline
&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;\\[-7pt]
&amp; \multicolumn{3}{c|}{\textsf{\textit{Plate}}} &amp; \multicolumn{3}{c|}{\textsf{\textit{Cylinder}}} &amp; \multicolumn{3}{c|||}{\textsf{\textit{Sphere}}}
\\ 
\cline{2-10} 
\multicolumn{1}{|||c|}{\raisebox{1.5ex}[0cm][0cm]{Bi}} 
       &amp; $\lambda_1$\rule[0pt]{0pt}{11pt} &amp; $A_1$ &amp; $D_1$ &amp; $\lambda_1$ &amp; $A_1$ &amp; $D_1$ &amp; $\lambda_1$ &amp; $A_1$ &amp; $D_1$ 
\\  
\hline  
\endfirsthead
\caption[]{(continued)} \\
\hline\hline\hline
&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;\\[-7pt]
&amp; \multicolumn{3}{c|}{\textsf{\textit{Plate}}} &amp; \multicolumn{3}{c|}{\textsf{\textit{Cylinder}}} &amp; \multicolumn{3}{c|||}{\textsf{\textit{Sphere}}}
\\ 
\cline{2-10}
\multicolumn{1}{|||c|}{\raisebox{1.5ex}[0cm][0cm]{Bi}} 
       &amp; $\lambda_1$\rule[0pt]{0pt}{11pt} &amp; $A_1$ &amp; $D_1$ &amp; $\lambda_1$ &amp; $A_1$ &amp; $D_1$ &amp; $\lambda_1$ &amp; $A_1$ &amp; $D_1$ 
\\ \hline
&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;\\[-1ex]
\endhead
\hline\hline\hline
\endfoot
\hline\hline\hline
\endlastfoot 
0.01   &amp; 0.09983  &amp; 1.0017  &amp; 1.0000  &amp; 0.14124   &amp; 1.0025  &amp; 1.0000  &amp; 0.17303  &amp; 1.0030  &amp; 1.0000\rule[0pt]{0pt}{15pt} \\ 
0.02   &amp; 0.14095  &amp; 1.0033  &amp; 1.0000  &amp; 0.19950   &amp; 1.0050  &amp; 1.0000  &amp; 0.24446  &amp; 1.0060  &amp; 1.0000 \\ 
0.03   &amp; 0.17234  &amp; 1.0049  &amp; 1.0000  &amp; 0.24403   &amp; 1.0075  &amp; 1.0000  &amp; 0.29910  &amp; 1.0090  &amp; 1.0000 \\ 
0.04   &amp; 0.19868  &amp; 1.0066  &amp; 1.0000  &amp; 0.28143   &amp; 1.0099  &amp; 1.0000  &amp; 0.34503  &amp; 1.0120  &amp; 1.0000 \\  
0.05   &amp; 0.22176  &amp; 1.0082  &amp; 0.9999  &amp; 0.31426   &amp; 1.0124  &amp; 0.9999  &amp; 0.38537  &amp; 1.0150  &amp; 1.0000 \\  
0.06   &amp; 0.24253  &amp; 1.0098  &amp; 0.9999  &amp; 0.34383   &amp; 1.0148  &amp; 0.9999  &amp; 0.42173  &amp; 1.0179  &amp; 0.9999 \\   
0.07   &amp; 0.26153  &amp; 1.0114  &amp; 0.9999  &amp; 0.37092   &amp; 1.0173  &amp; 0.9999  &amp; 0.45506  &amp; 1.0209  &amp; 0.9999 \\  
0.08   &amp; 0.27913  &amp; 1.0130  &amp; 0.9999  &amp; 0.39603   &amp; 1.0197  &amp; 0.9999  &amp; 0.48600  &amp; 1.0239  &amp; 0.9999 \\  
0.09   &amp; 0.29557  &amp; 1.0145  &amp; 0.9998  &amp; 0.41954   &amp; 1.0222  &amp; 0.9998  &amp; 0.51497  &amp; 1.0268  &amp; 0.9999 \\  
0.10   &amp; 0.31105  &amp; 1.0161  &amp; 0.9998  &amp; 0.44168   &amp; 1.0246  &amp; 0.9998  &amp; 0.54228  &amp; 1.0298  &amp; 0.9998 \\[6pt]   
%
0.15   &amp; 0.37788  &amp; 1.0237  &amp; 0.9995  &amp; 0.53761   &amp; 1.0365  &amp; 0.9995  &amp; 0.66086  &amp; 1.0445  &amp; 0.9996 \\*  
0.20   &amp; 0.43284  &amp; 1.0311  &amp; 0.9992  &amp; 0.61697   &amp; 1.0483  &amp; 0.9992  &amp; 0.75931  &amp; 1.0592  &amp; 0.9993 \\  
0.25   &amp; 0.48009  &amp; 1.0382  &amp; 0.9988  &amp; 0.68559   &amp; 1.0598  &amp; 0.9988  &amp; 0.84473  &amp; 1.0737  &amp; 0.9990 \\  
0.30   &amp; 0.52179  &amp; 1.0450  &amp; 0.9983  &amp; 0.74646   &amp; 1.0712  &amp; 0.9983  &amp; 0.92079  &amp; 1.0880  &amp; 0.9985 \\  
0.40   &amp; 0.59324  &amp; 1.0580  &amp; 0.9971  &amp; 0.85158   &amp; 1.0931  &amp; 0.9970  &amp; 1.05279  &amp; 1.1164  &amp; 0.9974 \\  
0.50   &amp; 0.65327  &amp; 1.0701  &amp; 0.9956  &amp; 0.94077   &amp; 1.1143  &amp; 0.9954  &amp; 1.16556  &amp; 1.1441  &amp; 0.9960 \\ 
0.60   &amp; 0.70507  &amp; 1.0814  &amp; 0.9940  &amp; 1.01844   &amp; 1.1345  &amp; 0.9936  &amp; 1.26440  &amp; 1.1713  &amp; 0.9944 \\  
0.70   &amp; 0.75056  &amp; 1.0918  &amp; 0.9922  &amp; 1.08725   &amp; 1.1539  &amp; 0.9916  &amp; 1.35252  &amp; 1.1978  &amp; 0.9925 \\  
0.80   &amp; 0.79103  &amp; 1.1016  &amp; 0.9903  &amp; 1.14897   &amp; 1.1724  &amp; 0.9893  &amp; 1.43203  &amp; 1.2236  &amp; 0.9904 \\  
0.90   &amp; 0.82740  &amp; 1.1107  &amp; 0.9882  &amp; 1.20484   &amp; 1.1902  &amp; 0.9869  &amp; 1.50442  &amp; 1.2488  &amp; 0.9880 \\[6pt]  
%
1.00   &amp; 0.86033  &amp; 1.1191  &amp; 0.9861  &amp; 1.25578   &amp; 1.2071  &amp; 0.9843  &amp; 1.57080  &amp; 1.2732  &amp; 0.9855 \\* 
1.10   &amp; 0.89035  &amp; 1.1270  &amp; 0.9839  &amp; 1.30251   &amp; 1.2232  &amp; 0.9815  &amp; 1.63199  &amp; 1.2970  &amp; 0.9828 \\  
1.20   &amp; 0.91785  &amp; 1.1344  &amp; 0.9817  &amp; 1.34558   &amp; 1.2387  &amp; 0.9787  &amp; 1.68868  &amp; 1.3201  &amp; 0.9800 \\ 
1.30   &amp; 0.94316  &amp; 1.1412  &amp; 0.9794  &amp; 1.38543   &amp; 1.2533  &amp; 0.9757  &amp; 1.74140  &amp; 1.3424  &amp; 0.9770 \\  
1.40   &amp; 0.96655  &amp; 1.1477  &amp; 0.9771  &amp; 1.42246   &amp; 1.2673  &amp; 0.9727  &amp; 1.79058  &amp; 1.3640  &amp; 0.9739 \\  
1.50   &amp; 0.98824  &amp; 1.1537  &amp; 0.9748  &amp; 1.45695   &amp; 1.2807  &amp; 0.9696  &amp; 1.83660  &amp; 1.3850  &amp; 0.9707 \\ 
1.60   &amp; 1.00842  &amp; 1.1593  &amp; 0.9726  &amp; 1.48917   &amp; 1.2934  &amp; 0.9665  &amp; 1.87976  &amp; 1.4052  &amp; 0.9674 \\  
1.70   &amp; 1.02725  &amp; 1.1645  &amp; 0.9703  &amp; 1.51936   &amp; 1.3055  &amp; 0.9633  &amp; 1.92035  &amp; 1.4247  &amp; 0.9640 \\* 
1.80   &amp; 1.04486  &amp; 1.1695  &amp; 0.9680  &amp; 1.54769   &amp; 1.3170  &amp; 0.9601  &amp; 1.95857  &amp; 1.4436  &amp; 0.9605 \\*  
1.90   &amp; 1.06136  &amp; 1.1741  &amp; 0.9658  &amp; 1.57434   &amp; 1.3279  &amp; 0.9569  &amp; 1.99465  &amp; 1.4618  &amp; 0.9570 \\[6pt]  
%
2.00   &amp; 1.07687  &amp; 1.1785  &amp; 0.9635  &amp; 1.59945   &amp; 1.3384  &amp; 0.9537  &amp; 2.02876  &amp; 1.4793  &amp; 0.9534 \\*  
2.20   &amp; 1.10524  &amp; 1.1864  &amp; 0.9592  &amp; 1.64557   &amp; 1.3578  &amp; 0.9472  &amp; 2.09166  &amp; 1.5125  &amp; 0.9462 \\  
2.40   &amp; 1.13056  &amp; 1.1934  &amp; 0.9549  &amp; 1.68691   &amp; 1.3754  &amp; 0.9408  &amp; 2.14834  &amp; 1.5433  &amp; 0.9389 \\  
2.60   &amp; 1.15330  &amp; 1.1997  &amp; 0.9509  &amp; 1.72418   &amp; 1.3914  &amp; 0.9345  &amp; 2.19967  &amp; 1.5718  &amp; 0.9316 \\  
2.80   &amp; 1.17383  &amp; 1.2052  &amp; 0.9469  &amp; 1.75794   &amp; 1.4059  &amp; 0.9284  &amp; 2.24633  &amp; 1.5982  &amp; 0.9243 \\ 
3.00   &amp; 1.19246  &amp; 1.2102  &amp; 0.9431  &amp; 1.78866   &amp; 1.4191  &amp; 0.9224  &amp; 2.28893  &amp; 1.6227  &amp; 0.9171 \\     
3.50   &amp; 1.23227  &amp; 1.2206  &amp; 0.9343  &amp; 1.85449   &amp; 1.4473  &amp; 0.9081  &amp; 2.38064  &amp; 1.6761  &amp; 0.8995 \\     
4.00   &amp; 1.26459  &amp; 1.2287  &amp; 0.9264  &amp; 1.90808   &amp; 1.4698  &amp; 0.8950  &amp; 2.45564  &amp; 1.7202  &amp; 0.8830 \\*   
4.50   &amp; 1.29134  &amp; 1.2351  &amp; 0.9193  &amp; 1.95248   &amp; 1.4880  &amp; 0.8830  &amp; 2.51795  &amp; 1.7567  &amp; 0.8675 \\*    
5.00   &amp; 1.31384  &amp; 1.2402  &amp; 0.9130  &amp; 1.98981   &amp; 1.5029  &amp; 0.8721  &amp; 2.57043  &amp; 1.7870  &amp; 0.8533 \\[6pt]    
%
6.00   &amp; 1.34955  &amp; 1.2479  &amp; 0.9021  &amp; 2.04901   &amp; 1.5253  &amp; 0.8532  &amp; 2.65366  &amp; 1.8338  &amp; 0.8281 \\*     
7.00   &amp; 1.37662  &amp; 1.2532  &amp; 0.8932  &amp; 2.09373   &amp; 1.5411  &amp; 0.8375  &amp; 2.71646  &amp; 1.8673  &amp; 0.8069 \\    
8.00   &amp; 1.39782  &amp; 1.2570  &amp; 0.8858  &amp; 2.12864   &amp; 1.5526  &amp; 0.8244  &amp; 2.76536  &amp; 1.8920  &amp; 0.7889 \\     
9.00   &amp; 1.41487  &amp; 1.2598  &amp; 0.8796  &amp; 2.15661   &amp; 1.5611  &amp; 0.8133  &amp; 2.80443  &amp; 1.9106  &amp; 0.7737 \\     
10.00  &amp; 1.42887  &amp; 1.2620  &amp; 0.8743  &amp; 2.17950   &amp; 1.5677  &amp; 0.8039  &amp; 2.83630  &amp; 1.9249  &amp; 0.7607 \\     
12.00  &amp; 1.45050  &amp; 1.2650  &amp; 0.8658  &amp; 2.21468   &amp; 1.5769  &amp; 0.7887  &amp; 2.88509  &amp; 1.9450  &amp; 0.7397 \\     
14.00  &amp; 1.46643  &amp; 1.2669  &amp; 0.8592  &amp; 2.24044   &amp; 1.5828  &amp; 0.7770  &amp; 2.92060  &amp; 1.9581  &amp; 0.7236 \\     
16.00  &amp; 1.47864  &amp; 1.2683  &amp; 0.8541  &amp; 2.26008   &amp; 1.5869  &amp; 0.7678  &amp; 2.94756  &amp; 1.9670  &amp; 0.7109 \\*     
18.00  &amp; 1.48830  &amp; 1.2692  &amp; 0.8499  &amp; 2.27556   &amp; 1.5898  &amp; 0.7603  &amp; 2.96871  &amp; 1.9734  &amp; 0.7007 \\*     
20.00  &amp; 1.49613  &amp; 1.2699  &amp; 0.8464  &amp; 2.28805   &amp; 1.5919  &amp; 0.7542  &amp; 2.98572  &amp; 1.9781  &amp; 0.6922 \\[6pt]     
%
25.00  &amp; 1.51045  &amp; 1.2710  &amp; 0.8400  &amp; 2.31080   &amp; 1.5954  &amp; 0.7427  &amp; 3.01656  &amp; 1.9856  &amp; 0.6766 \\*     
30.00  &amp; 1.52017  &amp; 1.2717  &amp; 0.8355  &amp; 2.32614   &amp; 1.5973  &amp; 0.7348  &amp; 3.03724  &amp; 1.9898  &amp; 0.6658 \\     
35.00  &amp; 1.52719  &amp; 1.2721  &amp; 0.8322  &amp; 2.33719   &amp; 1.5985  &amp; 0.7290  &amp; 3.05207  &amp; 1.9924  &amp; 0.6579 \\     
40.00  &amp; 1.53250  &amp; 1.2723  &amp; 0.8296  &amp; 2.34552   &amp; 1.5993  &amp; 0.7246  &amp; 3.06321  &amp; 1.9942  &amp; 0.6519 \\    
50.00  &amp; 1.54001  &amp; 1.2727  &amp; 0.8260  &amp; 2.35724   &amp; 1.6002  &amp; 0.7183  &amp; 3.07884  &amp; 1.9962  &amp; 0.6434 \\     
60.00  &amp; 1.54505  &amp; 1.2728  &amp; 0.8235  &amp; 2.36510   &amp; 1.6007  &amp; 0.7140  &amp; 3.08928  &amp; 1.9974  &amp; 0.6376 \\     
80.00  &amp; 1.55141  &amp; 1.2730  &amp; 0.8204  &amp; 2.37496   &amp; 1.6013  &amp; 0.7085  &amp; 3.10234  &amp; 1.9985  &amp; 0.6303 \\    
100.00 &amp; 1.55525  &amp; 1.2731  &amp; 0.8185  &amp; 2.38090   &amp; 1.6015  &amp; 0.7052  &amp; 3.11019  &amp; 1.9990  &amp; 0.6259 \\*    
200.00 &amp; 1.56298  &amp; 1.2732  &amp; 0.8146  &amp; 2.39283   &amp; 1.6019  &amp; 0.6985  &amp; 3.12589  &amp; 1.9998  &amp; 0.6170 \\*    
\infty &amp; 1.57080  &amp; 1.2732  &amp; 0.8106  &amp; 2.40483   &amp; 1.6020  &amp; 0.6917  &amp; 3.14159  &amp; 2.0000  &amp; 0.6079 \\[3pt] 
\end{longtable}
}
</pre></body></html>