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\vspace{1in}
\section*{The version of these  tables is 1.1.}
The version of these tables (this file) is a function of addtional information.
\section*{Change Log}
\subsection*{Version 1.1}
\begin{itemize}
\item
Add table for moving shock
\item
Add the "naughty  professor" table for isentropic flow. 

\end{itemize}
 
\vspace{1in}
These Tables were created by Potto and later where
translated by using latex2html versions 1.7.

These Gas Dynamics tables are more extensive than regular tables from
other sources. In fact some of the table haven't appear in any other
source since they are the innovative ideas.
To how to use these tables please see the corresponding chapter in the
book.



\chapter{Isentropic Flow}
\label{chap:variableArea}

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\begin{longtable}
{|D..{1.3}|D..{1.5}|D..{1.6}|D..{1.5}|D..{1.6}|D..{1.6}|D..{1.5}|}
%end{latexonly}
\caption{ Isentropic Table $k=1.4$ \label{variableArea:tab:basicIsentropic}}\\
	\hline
	\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $}  & 
	\multicolumn{1}{|c} {$\mathbf{T \over T_0} $}  & 
	\multicolumn{1}{|c} {$\mathbf{\rho \over \rho_0} $}  & 
	\multicolumn{1}{|c} {$\mathbf{A \over A^{\star}} $}  & 
	\multicolumn{1}{|c} {$\mathbf{P \over P_0} $}  & 
	\multicolumn{1}{|c} {$\mathbf{A\times P \over A^{*} \times P_0} $}  & 
	\multicolumn{1}{|c|} {$\mathbf{F \over F^{*}} $} 

	\\\hline

	\endfirsthead
	\endhead
	 0.000&   1.00000&   1.00000&  5.8E+5&   1.0000&  5.8E+5&  2.4E+5 \\
	\hline
	  0.050&   0.99950&   0.99875&    11.59&   0.99825&    11.57&    4.838
	\\ \hline
	   0.100&   0.99800&   0.99502&    5.822&   0.99303&    5.781&    2.443
	\\ \hline
	   0.200&   0.99206&   0.98028&    2.964&   0.97250&    2.882&    1.268
	\\ \hline
	   0.300&   0.98232&   0.95638&    2.035&   0.93947&    1.912&   0.89699
	\\ \hline
	   0.400&   0.96899&   0.92427&    1.590&   0.89561&    1.424&   0.72632
	\\ \hline
	   0.500&   0.95238&   0.88517&    1.340&   0.84302&    1.130&   0.63535
	\\ \hline
	   0.600&   0.93284&   0.84045&    1.188&   0.78400&   0.93155&   0.58377
	\\ \hline
	   0.700&   0.91075&   0.79158&    1.094&   0.72093&   0.78896&   0.55425
	\\ \hline
	   0.800&   0.88652&   0.73999&    1.038&   0.65602&   0.68110&   0.53807
	\\ \hline
	   0.900&   0.86059&   0.68704&    1.009&   0.59126&   0.59650&   0.53039
	\\ \hline
		1.00&   0.83333&   0.63394&    1.000&   0.52828&   0.52828&   0.52828
	\\ \hline
		1.100&   0.80515&   0.58170&    1.008&   0.46835&   0.47207&   0.52989
	\\ \hline
		1.200&   0.77640&   0.53114&    1.030&   0.41238&   0.42493&   0.53399
	\\ \hline
		1.300&   0.74738&   0.48290&    1.066&   0.36091&   0.38484&   0.53974
	\\ \hline
		1.400&   0.71839&   0.43742&    1.115&   0.31424&   0.35036&   0.54655
	\\ \hline
		1.500&   0.68966&   0.39498&    1.176&   0.27240&   0.32039&   0.55401
	\\ \hline
		1.600&   0.66138&   0.35573&    1.250&   0.23527&   0.29414&   0.56182
	\\ \hline
		1.700&   0.63371&   0.31969&    1.338&   0.20259&   0.27099&   0.56976
	\\ \hline
		1.800&   0.60680&   0.28682&    1.439&   0.17404&   0.25044&   0.57768
	\\ \hline
		1.900&   0.58072&   0.25699&    1.555&   0.14924&   0.23211&   0.58549
	\\ \hline
		2.000&   0.55556&   0.23005&    1.688&   0.12780&   0.21567&   0.59309
	\\ \hline
		2.500&   0.44444&   0.13169&    2.637&  0.058528&   0.15432&   0.62693
	\\ \hline
		3.000&   0.35714&  0.076226&    4.235&  0.027224&   0.11528&   0.65326
	\\ \hline
		3.500&   0.28986&  0.045233&    6.790&  0.013111&  0.089018&   0.67320
	\\ \hline
		4.000&   0.23810&  0.027662&    10.72&   0.00659&  0.070595&   0.68830
	\\ \hline
		4.500&   0.19802&  0.017449&    16.56&   0.00346&  0.057227&   0.69983
	\\ \hline
		5.000&   0.16667&  0.011340&    25.00&   0.00189&  0.047251&   0.70876
	\\ \hline
		5.500&   0.14184&   0.00758&    36.87&   0.00107&  0.039628&   0.71578
	\\ \hline
		6.000&   0.12195&   0.00519&    53.18&  0.000633&  0.033682&   0.72136
	\\ \hline
		6.500&   0.10582&   0.00364&    75.13&  0.000385&  0.028962&   0.72586
	\\ \hline
		7.000&  0.092593&   0.00261&  1.0E+2&  0.000242&  0.025156&   0.72953
	\\ \hline
		7.500&  0.081633&   0.00190&  1.4E+2&  0.000155&  0.022046&   0.73257
	\\ \hline
		8.000&  0.072464&   0.00141&  1.9E+2&  0.000102&  0.019473&   0.73510
	\\ \hline
		8.500&  0.064725&   0.00107&  2.5E+2&  6.90E-5&  0.017321&   0.73723
	\\ \hline
		9.000&  0.058140&  0.000815&  3.3E+2&  4.74E-5&  0.015504&   0.73903
	\\ \hline
		9.500&  0.052493&  0.000631&  4.2E+2&  3.31E-5&  0.013957&   0.74058
	\\ \hline
		10.00&  0.047619&  0.000495&  5.4E+2&  2.36E-5&  0.012628&   0.74192
	\\ \hline
	\end{longtable}


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	{|D..{1.4}|D..{1.6}|D..{1.6}|D..{1.6}|D..{1.6}|D..{1.4}|D..{1.4}|}
	%end{latexonly}
	\caption{ Isothermal  Table  \label{variableArea:tab:basicIsothermal}}\\
	\hline
	\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $}  & 
	\multicolumn{1}{|c} {$\mathbf{T_0 \over {T_0}^{\star}} $}  & 
	\multicolumn{1}{|c} {$\mathbf{P_0 \over {P_0}^{\star}} $}  & 
	\multicolumn{1}{|c} {$\mathbf{A \over A^{\star}} $}  & 
	\multicolumn{1}{|c} {$\mathbf{P \over P^{\star}} $}  & 
	\multicolumn{1}{|c} {$\mathbf{A\times P \over A^{*} \times P_0} $}  & 
	\multicolumn{1}{|c|} {$\mathbf{F \over F^{*}} $} 

	\\\hline

	\endhead
	 0.00&   0.52828&    1.064&  5.0E+5&    2.014&  1.0E+6&  4.2E+5 \\
	\hline
	  0.05&   0.52921&    1.064&    9.949&    2.010&    20.00&    8.362 \\
	\hline
	   0.1&   0.53199&    1.064&    5.001&    2.000&    10.00&    4.225 \\
	\hline
	   0.2&   0.54322&    1.064&    2.553&    1.958&    5.000&    2.200 \\
	\hline
	   0.3&   0.56232&    1.063&    1.763&    1.891&    3.333&    1.564 \\
	\hline
	   0.4&   0.58985&    1.062&    1.389&    1.800&    2.500&    1.275 \\
	\hline
	   0.5&   0.62665&    1.059&    1.183&    1.690&    2.000&    1.125 \\
	\hline
	   0.6&   0.67383&    1.055&    1.065&    1.565&    1.667&    1.044 \\
	\hline
	   0.7&   0.73278&    1.047&   0.99967&    1.429&    1.429&    1.004 \\
	\hline
	   0.8&   0.80528&    1.036&   0.97156&    1.287&    1.250&   0.98750
	\\ \hline
	   0.9&   0.89348&    1.021&   0.97274&    1.142&    1.111&   0.98796
	\\ \hline
		1.00&    1.000&    1.000&    1.000&    1.000&    1.000&    1.000 \\
	\hline
		1.10&    1.128&   0.97376&    1.053&   0.86329&   0.90909&    1.020 \\
	\hline
		1.20&    1.281&   0.94147&    1.134&   0.73492&   0.83333&    1.047 \\
	\hline
		1.30&    1.464&   0.90302&    1.247&   0.61693&   0.76923&    1.079 \\
	\hline
		1.40&    1.681&   0.85853&    1.399&   0.51069&   0.71429&    1.114 \\
	\hline
		1.50&    1.939&   0.80844&    1.599&   0.41686&   0.66667&    1.153 \\
	\hline
		1.60&    2.245&   0.75344&    1.863&   0.33554&   0.62500&    1.194 \\
	\hline
		1.70&    2.608&   0.69449&    2.209&   0.26634&   0.58824&    1.237 \\
	\hline
		1.80&    3.035&   0.63276&    2.665&   0.20846&   0.55556&    1.281 \\
	\hline
		1.90&    3.540&   0.56954&    3.271&   0.16090&   0.52632&    1.328 \\
	\hline
		2.00&    4.134&   0.50618&    4.083&   0.12246&   0.50000&    1.375 \\
	\hline
		2.50&    9.026&   0.22881&    15.78&  0.025349&   0.40000&    1.625 \\
	\hline
		3.000&    19.41&  0.071758&    90.14&   0.00370&   0.33333&    1.889 \\
	\hline
		3.500&    40.29&  0.015317&  7.5E+2&  0.000380&   0.28571&    2.161 \\
	\hline
		4.000&    80.21&   0.00221&  9.1E+3&  2.75E-5&   0.25000&    2.438 \\
	\hline
		4.500&  1.5E+2&  0.000215&  1.6E+5&  1.41E-6&   0.22222&    2.718 \\
	\hline
		5.000&  2.8E+2&  1.41E-5&  4.0E+6&      0.0&   0.20000&    3.000 \\
	\hline
		5.500&  4.9E+2&      0.0&  1.4E+8&      0.0&   0.18182&    3.284 \\
	\hline
		6.000&  8.3E+2&      0.0&  7.3E+9&      0.0&   0.16667&    3.569 \\
	\hline
		6.500&  1.4E+3&      0.0&  5.3E+11&      0.0&   0.15385&    3.856 \\
	\hline
		7.000&  2.2E+3&      0.0&  5.6E+13&      0.0&   0.14286&    4.143 \\
	\hline
		7.500&  3.4E+3&      0.0&  8.3E+15&      0.0&   0.13333&    4.431 \\
	\hline
		8.000&  5.2E+3&      0.0&  1.8E+18&      0.0&   0.12500&    4.719 \\
	\hline
		8.500&  7.7E+3&      0.0&  5.4E+20&      0.0&   0.11765&    5.007 \\
	\hline
		9.000&  1.1E+4&      0.0&  2.3E+23&      0.0&   0.11111&    5.296 \\
	\hline
		9.500&  1.6E+4&      0.0&  1.4E+26&      0.0&   0.10526&    5.586 \\
	\hline
		10.00&  2.2E+4&      0.0&  1.2E+29&      0.0&  0.100000&    5.875 \\
	\hline
\end{longtable}

This table is very useful in the naughty's professor questions.

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\caption{ Fliegner's number and other paramters as function
of Mach number  \label{variableArea:tab:Fn}}\\
\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $}  &
\multicolumn{1}{|c} {$\mathbf{Fn} $}  &
\multicolumn{1}{|c} {$\mathbf{\hat{\rho} } $}  &
\multicolumn{1}{|c} {$\mathbf{\left(P_0 A^{*} \over A P
\right)^2} $}  &
\multicolumn{1}{|c} {$\mathbf{{RT_0 \over P^2} \left(
\dot{m}\over A \right)^2} $}  &
\multicolumn{1}{|c} {$\mathbf{{1 \over R \rho_0 P} \left(
\dot{m}\over A \right)^2} $}  &
\multicolumn{1}{|c|} {$\mathbf{{1 \over R {\rho_0}^2 T} \left(
\dot{m}\over A \right)^2} $}

\\\hline

\endfirsthead
\endhead
 0.00& 1.4E-6&    1.000&      0.0&      0.0&      0.0&
0.0 \\ \hline  0.050001&  0.070106&    1.000&   0.00747&
2.62E-5&   0.00352&   0.00351 \\ \hline
   0.10000&   0.14084&    1.000&  0.029920&  0.000424&  0.014268&
0.014197 \\ \hline
   0.20000&   0.28677&    1.001&   0.12039&   0.00707&  0.060404&
0.059212 \\ \hline
   0.21000&   0.30185&    1.001&   0.13284&   0.00865&  0.067111&
0.065654 \\ \hline
   0.22000&   0.31703&    1.001&   0.14592&  0.010476&  0.074254&
0.072487 \\ \hline
   0.23000&   0.33233&    1.002&   0.15963&  0.012593&  0.081847&
0.079722 \\ \hline
   0.24000&   0.34775&    1.002&   0.17397&  0.015027&  0.089910&
0.087372 \\ \hline
   0.25000&   0.36329&    1.003&   0.18896&  0.017813&  0.098460&
0.095449 \\ \hline
   0.26000&   0.37896&    1.003&   0.20458&  0.020986&   0.10752&
0.10397 \\ \hline
   0.27000&   0.39478&    1.003&   0.22085&  0.024585&   0.11710&
0.11294 \\ \hline
   0.28000&   0.41073&    1.004&   0.23777&  0.028651&   0.12724&
0.12239 \\ \hline
   0.29000&   0.42683&    1.005&   0.25535&  0.033229&   0.13796&
0.13232 \\ \hline
   0.30000&   0.44309&    1.005&   0.27358&  0.038365&   0.14927&
0.14276 \\ \hline
   0.31000&   0.45951&    1.006&   0.29247&  0.044110&   0.16121&
0.15372 \\ \hline
   0.32000&   0.47609&    1.007&   0.31203&  0.050518&   0.17381&
0.16522 \\ \hline
   0.33000&   0.49285&    1.008&   0.33226&  0.057647&   0.18709&
0.17728 \\ \hline
   0.34000&   0.50978&    1.009&   0.35316&  0.065557&   0.20109&
0.18992 \\ \hline
   0.35000&   0.52690&    1.011&   0.37474&  0.074314&   0.21584&
0.20316 \\ \hline
   0.36000&   0.54422&    1.012&   0.39701&  0.083989&   0.23137&
0.21703 \\ \hline
   0.37000&   0.56172&    1.013&   0.41997&  0.094654&   0.24773&
0.23155 \\ \hline
   0.38000&   0.57944&    1.015&   0.44363&   0.10639&   0.26495&
0.24674 \\ \hline
   0.39000&   0.59736&    1.017&   0.46798&   0.11928&   0.28307&
0.26264 \\ \hline
   0.40000&   0.61550&    1.019&   0.49305&   0.13342&   0.30214&
0.27926 \\ \hline
   0.41000&   0.63386&    1.021&   0.51882&   0.14889&   0.32220&
0.29663 \\ \hline
   0.42000&   0.65246&    1.023&   0.54531&   0.16581&   0.34330&
0.31480 \\ \hline
   0.43000&   0.67129&    1.026&   0.57253&   0.18428&   0.36550&
0.33378 \\ \hline
   0.44000&   0.69036&    1.028&   0.60047&   0.20442&   0.38884&
0.35361 \\ \hline
   0.45000&   0.70969&    1.031&   0.62915&   0.22634&   0.41338&
0.37432 \\ \hline
   0.46000&   0.72927&    1.035&   0.65857&   0.25018&   0.43919&
0.39596 \\ \hline
   0.47000&   0.74912&    1.038&   0.68875&   0.27608&   0.46633&
0.41855 \\ \hline
   0.48000&   0.76924&    1.042&   0.71967&   0.30418&   0.49485&
0.44215 \\ \hline
   0.49000&   0.78965&    1.046&   0.75136&   0.33465&   0.52485&
0.46677 \\ \hline
   0.50000&   0.81034&    1.050&   0.78382&   0.36764&   0.55637&
0.49249 \\ \hline
   0.51000&   0.83132&    1.055&   0.81706&   0.40333&   0.58952&
0.51932 \\ \hline
   0.52000&   0.85261&    1.060&   0.85107&   0.44192&   0.62436&
0.54733 \\ \hline
   0.53000&   0.87421&    1.065&   0.88588&   0.48360&   0.66098&
0.57656 \\ \hline
   0.54000&   0.89613&    1.071&   0.92149&   0.52858&   0.69948&
0.60706 \\ \hline
   0.55000&   0.91838&    1.077&   0.95791&   0.57709&   0.73995&
0.63889 \\ \hline
   0.56000&   0.94096&    1.083&   0.99514&   0.62936&   0.78250&
0.67210 \\ \hline
   0.57000&   0.96389&    1.090&    1.033&   0.68565&   0.82722&
0.70675 \\ \hline
   0.58000&   0.98717&    1.097&    1.072&   0.74624&   0.87424&
0.74290 \\ \hline
   0.59000&    1.011&    1.105&    1.112&   0.81139&   0.92366&
0.78062 \\ \hline
   0.60000&    1.035&    1.113&    1.152&   0.88142&   0.97562&
0.81996 \\ \hline
   0.61000&    1.059&    1.122&    1.194&   0.95665&    1.030&
0.86101 \\ \hline
   0.62000&    1.084&    1.131&    1.236&    1.037&    1.088&
0.90382 \\ \hline
   0.63000&    1.109&    1.141&    1.279&    1.124&    1.148&
0.94848 \\ \hline
   0.64000&    1.135&    1.151&    1.323&    1.217&    1.212&
0.99507 \\ \hline
   0.65000&    1.161&    1.162&    1.368&    1.317&    1.278&
1.044 \\ \hline   0.66000&    1.187&    1.173&    1.414&
1.423&    1.349&    1.094 \\ \hline   0.67000&    1.214&
1.185&    1.461&    1.538&    1.422&    1.147 \\ \hline
0.68000&    1.241&    1.198&    1.508&    1.660&    1.500&
1.202 \\ \hline   0.69000&    1.269&    1.211&    1.557&
1.791&    1.582&    1.260 \\ \hline   0.70000&    1.297&
1.225&    1.607&    1.931&    1.667&    1.320 \\ \hline
0.71000&    1.326&    1.240&    1.657&    2.081&    1.758&
1.382 \\ \hline   0.72000&    1.355&    1.255&    1.708&
2.241&    1.853&    1.448 \\ \hline   0.73000&    1.385&
1.271&    1.761&    2.412&    1.953&    1.516 \\ \hline
0.74000&    1.415&    1.288&    1.814&    2.595&    2.058&
1.587 \\ \hline   0.75000&    1.446&    1.305&    1.869&
2.790&    2.168&    1.661 \\ \hline   0.76000&    1.477&
1.324&    1.924&    2.998&    2.284&    1.738 \\ \hline
0.77000&    1.509&    1.343&    1.980&    3.220&    2.407&
1.819 \\ \hline   0.78000&    1.541&    1.362&    2.038&
3.457&    2.536&    1.903 \\ \hline   0.79000&    1.574&
1.383&    2.096&    3.709&    2.671&    1.991 \\ \hline
0.80000&    1.607&    1.405&    2.156&    3.979&    2.813&
2.082 \\ \hline   0.81000&    1.642&    1.427&    2.216&
4.266&    2.963&    2.177 \\ \hline   0.82000&    1.676&
1.450&    2.278&    4.571&    3.121&    2.277 \\ \hline
0.83000&    1.712&    1.474&    2.340&    4.897&    3.287&
2.381 \\ \hline   0.84000&    1.747&    1.500&    2.404&
5.244&    3.462&    2.489 \\ \hline   0.85000&    1.784&
1.526&    2.469&    5.613&    3.646&    2.602 \\ \hline
0.86000&    1.821&    1.553&    2.535&    6.006&    3.840&
2.720 \\ \hline   0.87000&    1.859&    1.581&    2.602&
6.424&    4.043&    2.842 \\ \hline   0.88000&    1.898&
1.610&    2.670&    6.869&    4.258&    2.971 \\ \hline
0.89000&    1.937&    1.640&    2.740&    7.342&    4.484&
3.104 \\ \hline   0.90000&    1.977&    1.671&    2.810&
7.846&    4.721&    3.244 \\ \hline   0.91000&    2.018&
1.703&    2.882&    8.381&    4.972&    3.389 \\ \hline
0.92000&    2.059&    1.736&    2.955&    8.949&    5.235&
3.541 \\ \hline   0.93000&    2.101&    1.771&    3.029&
9.554&    5.513&    3.699 \\ \hline   0.94000&    2.144&
1.806&    3.105&    10.20&    5.805&    3.865 \\ \hline
0.95000&    2.188&    1.843&    3.181&    10.88&    6.112&
4.037 \\ \hline   0.96000&    2.233&    1.881&    3.259&
11.60&    6.436&    4.217 \\ \hline   0.97000&    2.278&
1.920&    3.338&    12.37&    6.777&    4.404 \\ \hline
0.98000&    2.324&    1.961&    3.419&    13.19&    7.136&
4.600 \\ \hline   0.99000&    2.371&    2.003&    3.500&
14.06&    7.515&    4.804 \\ \hline    1.000&    2.419&    2.046&
3.583&    14.98&    7.913&    5.016 \\ \hline
\end{longtable}


\chapter{Normal Shock }
\label{chap:shock}

\begin{htmlonly}
\begin{center}
\begin{tabular}
{r|r|r|r|r}
\end{htmlonly}
%begin{latexonly}
\begin{center}
\begin{tabular}
{|D..{1.3}|D..{4.3}|D..{1.5}|D..{2.6}|D..{7.2}|}
%end{latexonly}
\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{k} $}  & 
\multicolumn{1}{|c} {$\mathbf{{M_x}} $}  & 
\multicolumn{1}{|c} {$\mathbf{M_y} $}  & 
\multicolumn{1}{|c} {$\mathbf{{M_y}^{'} } $}  & 
\multicolumn{1}{|c|} {$\mathbf{{T_y} \over {T_x}  } $} 

\\\hline

   1.30&  1073.25&   0.33968&   2.2645&169842.29 \\ \hline
   1.40&   985.85&   0.37797&   1.8898&188982.96 \\ \hline
   1.50&   922.23&   0.40825&   1.6330&204124.86 \\ \hline
   1.60&   873.09&   0.43301&   1.4434&216507.05 \\ \hline
   1.70&   833.61&   0.45374&   1.2964&226871.99 \\ \hline
   1.80&   801.02&   0.47141&   1.1785&235702.93 \\ \hline
   1.90&   773.54&   0.48667&   1.0815&243332.79 \\ \hline
   2.00&   750.00&   0.50000&   1.00000&250000.64 \\ \hline
   2.10&   729.56&   0.51177&   0.93048&255883.78 \\ \hline
   2.20&   711.62&   0.52223&   0.87039&261117.09 \\ \hline
   2.30&   695.74&   0.53161&   0.81786&265805.36 \\ \hline
   2.40&   681.56&   0.54006&   0.77151&270031.44 \\ \hline
   2.50&   668.81&   0.54772&   0.73029&273861.85 \\ \hline
\end{tabular}
\bigskip
\end{center}
\textit{Table of maximum values of the shock-chocking phenomenon. k=1.4}
\medskip

\setlongtables
\begin{htmlonly}
\begin{longtable}
{r|r|r|r|r|r}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{-1}|D..{2.6}|D..{2.6}|D..{3.6}|D..{2.6}|D..{2.6}|}\hline
%end{latexonly}
\caption{ The shock wave Table for k = 1.4  \label{shock:tab:basic}}\\\hline
\multicolumn{1}{|c|} {$\rule[-0.1in]{0.pt}{0.3 in} \mathbf{M_x} $}  & 
\multicolumn{1}{|c|} {$\mathbf{M_y} $}  & 
\multicolumn{1}{|c|}{$  \mathbf{T_y \over T_x} $      } & 
\multicolumn{1}{|c|}{$  \mathbf{\rho_y \over \rho_x} $ } & 
\multicolumn{1}{|c|}{$  \mathbf{P_y \over P_x} $ } &
\multicolumn{1}{|c|}{$  \mathbf{P_{0y} \over P_{0x}} $ }
\\\hline

\endfirsthead
\endhead

1.00&	1.00000&	1.00000&	1.00000&	1.00000&	1.00000 \\ \hline
1.05&	0.95313&	1.03284&	1.08398&	1.11958&	0.99985 \\ \hline
1.10&	0.91177&	1.06494&	1.16908&	1.24500&	0.99893 \\ \hline
1.15&	0.87502&	1.09658&	1.25504&	1.37625&	0.99669 \\ \hline
1.20&	0.84217&	1.12799&	1.34161&	1.51333&	0.99280 \\ \hline
1.25&	0.81264&	1.15938&	1.42857&	1.65625&	0.98706 \\ \hline
1.30&	0.78596&	1.19087&	1.51570&	1.80500&	0.97937 \\ \hline
1.35&	0.76175&	1.22261&	1.60278&	1.95958&	0.96974 \\ \hline
1.40&	0.73971&	1.25469&	1.68966&	2.12000&	0.95819 \\ \hline
1.45&	0.71956&	1.28720&	1.77614&	2.28625&	0.94484 \\ \hline
1.50&	0.70109&	1.32022&	1.86207&	2.45833&	0.92979 \\ \hline
1.55&	0.68410&	1.35379&	1.94732&	2.63625&	0.91319 \\ \hline
1.60&	0.66844&	1.38797&	2.03175&	2.82000&	0.89520 \\ \hline
1.65&	0.65396&	1.42280&	2.11525&	3.00958&	0.87599 \\ \hline
1.70&	0.64054&	1.45833&	2.19772&	3.20500&	0.85572 \\ \hline
1.75&	0.62809&	1.49458&	2.27907&	3.40625&	0.83457 \\ \hline
1.80&	0.61650&	1.53158&	2.35922&	3.61333&	0.81268 \\ \hline
1.85&	0.60570&	1.56935&	2.43811&	3.82625&	0.79023 \\ \hline
1.90&	0.59562&	1.60792&	2.51568&	4.04500&	0.76736 \\ \hline
1.95&	0.58618&	1.64729&	2.59188&	4.26958&	0.74420 \\ \hline
2.00&	0.57735&	1.68750&	2.66667&	4.50000&	0.72087 \\ \hline
2.05&	0.56906&	1.72855&	2.74002&	4.73625&	0.69751 \\ \hline
2.10&	0.56128&	1.77045&	2.81190&	4.97833&	0.67420 \\ \hline
2.15&	0.55395&	1.81322&	2.88231&	5.22625&	0.65105 \\ \hline
2.20&	0.54706&	1.85686&	2.95122&	5.48000&	0.62814 \\ \hline
2.25&	0.54055&	1.90138&	3.01863&	5.73958&	0.60553 \\ \hline
2.30&	0.53441&	1.94680&	3.08455&	6.00500&	0.58329 \\ \hline
2.35&	0.52861&	1.99311&	3.14897&	6.27625&	0.56148 \\ \hline
2.40&	0.52312&	2.04033&	3.21190&	6.55333&	0.54014 \\ \hline
2.45&	0.51792&	2.08846&	3.27335&	6.83625&	0.51931 \\ \hline
2.50&	0.51299&	2.13750&	3.33333&	7.12500&	0.49901 \\ \hline
2.75&	0.49181&	2.39657&	3.61194&	8.65625&	0.40623 \\ \hline
3.00&	0.47519&	2.67901&	3.85714&	10.33333&	0.32834 \\ \hline
3.25&	0.46192&	2.98511&	4.07229&	12.15625&	0.26451 \\ \hline
3.50&	0.45115&	3.31505&	4.26087&	14.12500&	0.21295 \\ \hline
3.75&	0.44231&	3.66894&	4.42623&	16.23958&	0.17166 \\ \hline
4.00&	0.43496&	4.04688&	4.57143&	18.50000&	0.13876 \\ \hline
4.25&	0.42878&	4.44891&	4.69919&	20.90625&	0.11256 \\ \hline
4.50&	0.42355&	4.87509&	4.81188&	23.45833&	0.09170 \\ \hline
4.75&	0.41908&	5.32544&	4.91156&	26.15625&	0.07505 \\ \hline
5.00&	0.41523&	5.80000&	5.00000&	29.00000&	0.06172 \\ \hline
5.25&	0.41189&	6.29878&	5.07869&	31.98958&	0.05100 \\ \hline
5.50&	0.40897&	6.82180&	5.14894&	35.12500&	0.04236 \\ \hline
5.75&	0.40642&	7.36906&	5.21182&	38.40625&	0.03536 \\ \hline
6.00&	0.40416&	7.94059&	5.26829&	41.83333&	0.02965 \\ \hline
6.25&	0.40216&	8.53637&	5.31915&	45.40625&	0.02498 \\ \hline
6.50&	0.40038&	9.15643&	5.36508&	49.12500&	0.02115 \\ \hline
6.75&	0.39879&	9.80077&	5.40667&	52.98958&	0.01798 \\ \hline
7.00&	0.39736&	10.46939&	5.44444&	57.00000&	0.01535 \\ \hline
7.25&	0.39607&	11.16229&	5.47883&	61.15625&	0.01316 \\ \hline
7.50&	0.39491&	11.87948&	5.51020&	65.45833&	0.01133 \\ \hline
7.75&	0.39385&	12.62095&	5.53890&	69.90625&	0.00979 \\ \hline
8.00&	0.39289&	13.38672&	5.56522&	74.50000&	0.00849 \\ \hline
8.25&	0.39201&	14.17678&	5.58939&	79.23958&	0.00739 \\ \hline
8.50&	0.39121&	14.99113&	5.61165&	84.12500&	0.00645 \\ \hline
8.75&	0.39048&	15.82978&	5.63218&	89.15625&	0.00565 \\ \hline
9.00&	0.38980&	16.69273&	5.65116&	94.33333&	0.00496 \\ \hline
9.25&	0.38918&	17.57997&	5.66874&	99.65625&	0.00437 \\ \hline
9.50&	0.38860&	18.49152&	5.68504&	105.12500&	0.00387 \\ \hline
9.75&	0.38807&	19.42736&	5.70019&	110.73958&	0.00343 \\ \hline
10.00&	0.38758&	20.38750&	5.71429&	116.50000&	0.00304 \\ \hline

\end{longtable}


\setlongtables
\begin{htmlonly}
\begin{longtable}
{l|l|l|l|l|l|l}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{1.3}|D..{1.5}|D..{1.1}|D..{1.1}|D..{2.4}|D..{4.5}|D..{1.6}|}
%end{latexonly}
\caption{ Table for Shock Reflecting from suddenly closed end (k=1.4)%
\label{shock:tab:suddenlyClosed}}\\ \hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M_x} $}  & 
\multicolumn{1}{|c} {$\mathbf{M_y} $}  & 
\multicolumn{1}{|c} {$\mathbf{{M_x}^{'}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{M_y}^{'}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{T_y} \over {T_x}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{P_y} \over {P_x}} $}  & 
\multicolumn{1}{|c|} {$\mathbf{{P_0}_y \over {P_0}_x } $} 

\\\hline

\endfirsthead
\caption{ Table for Shock Reflecting from suddenly closed end (k=1.4)(continue)}%
\\\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M_x} $}  & 
\multicolumn{1}{|c} {$\mathbf{M_y} $}  & 
\multicolumn{1}{|c} {$\mathbf{{M_x}^{'}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{M_y}^{'}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{T_y} \over {T_x}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{P_y} \over {P_x}} $}  & 
\multicolumn{1}{|c|} {$\mathbf{{P_0}_y \over {P_0}_x } $} 

\\\hline
\endhead
   1.006&   0.99403&   0.01&      0.0&    1.004&    1.014&   1.00000
\\ \hline
    1.012&   0.98812&  0.02&      0.0&    1.008&    1.028&   1.00000
\\ \hline
    1.018&   0.98227&  0.03&      0.0&    1.012&    1.043&   0.99999
\\ \hline
    1.024&   0.97647&  0.04&      0.0&    1.016&    1.057&   0.99998
\\ \hline
    1.030&   0.97074&  0.05&      0.0&    1.020&    1.072&   0.99997
\\ \hline
    1.037&   0.96506&  0.06&      0.0&    1.024&    1.087&   0.99994
\\ \hline
    1.043&   0.95944&  0.07&      0.0&    1.028&    1.102&   0.99991
\\ \hline
    1.049&   0.95387&  0.08&      0.0&    1.032&    1.118&   0.99986
\\ \hline
    1.055&   0.94836&  0.09&      0.0&    1.036&    1.133&   0.99980
\\ \hline
    1.062&   0.94291&   0.100&      0.0&    1.040&    1.149&   0.99973
\\ \hline
    1.127&   0.89128&   0.200&      0.0&    1.082&    1.316&   0.99790
\\ \hline
    1.196&   0.84463&   0.300&      0.0&    1.126&    1.502&   0.99317
\\ \hline
    1.268&   0.80251&   0.400&      0.0&    1.171&    1.710&   0.98446
\\ \hline
    1.344&   0.76452&   0.500&      0.0&    1.219&    1.941&   0.97099
\\ \hline
    1.423&   0.73029&   0.600&      0.0&    1.269&    2.195&   0.95231
\\ \hline
    1.505&   0.69946&   0.700&      0.0&    1.323&    2.475&   0.92832
\\ \hline
    1.589&   0.67171&   0.800&      0.0&    1.381&    2.780&   0.89918
\\ \hline
    1.676&   0.64673&   0.900&      0.0&    1.442&    3.112&   0.86537
\\ \hline
    1.766&   0.62425&   1.000&      0.0&    1.506&    3.473&   0.82755
\\ \hline
    1.858&   0.60401&    1.100&      0.0&    1.576&    3.862&   0.78652 \\
\hline
    1.952&   0.58578&    1.200&      0.0&    1.649&    4.280&   0.74316 \\
\hline
    2.048&   0.56935&    1.300&      0.0&    1.727&    4.728&   0.69834 \\
\hline
    2.146&   0.55453&    1.400&      0.0&    1.810&    5.206&   0.65290 \\
\hline
    2.245&   0.54114&    1.500&      0.0&    1.897&    5.715&   0.60761 \\
\hline
    2.346&   0.52904&    1.600&      0.0&    1.990&    6.256&   0.56312 \\
\hline
    2.448&   0.51808&    1.700&      0.0&    2.087&    6.827&   0.51996 \\
\hline
    2.552&   0.50814&    1.800&      0.0&    2.189&    7.431&   0.47855 \\
\hline
    2.656&   0.49912&    1.900&      0.0&    2.297&    8.066&   0.43921 \\
\hline
    2.762&   0.49092&    2.000&      0.0&    2.410&    8.734&   0.40213 \\
\hline
    3.859&   0.43894&    3.000&      0.0&    3.831&    17.21&   0.15637 \\
\hline
    5.000&   0.41523&    4.000&      0.0&    5.800&    29.00&  0.061716 \\
\hline
    6.162&   0.40284&    5.000&      0.0&    8.325&    44.14&  0.026517 \\
\hline
    7.336&   0.39566&    6.000&      0.0&    11.41&    62.62&  0.012492 \\
\hline
    8.517&   0.39116&    7.000&      0.0&    15.05&    84.47&   0.00639 \\
\hline
    9.703&   0.38817&    8.000&      0.0&    19.25&  1.1E+2&   0.00350 \\
\hline
    10.89&   0.38608&    9.000&      0.0&    24.01&  1.4E+2&   0.00204 \\
\hline
    12.08&   0.38457&    10.00&      0.0&    29.33&  1.7E+2&   0.00125 \\
\hline
\end{longtable}


\setlongtables
\begin{htmlonly}
\begin{longtable}
{l|l|l|l|l|l|l}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{1.3}|D..{1.6}|D..{1.2}|D..{1.3}|D..{2.5}|D..{1.6}|D..{1.6}|}
%end{latexonly}
\caption{Table for Shock Propagating From suddenly \textbf{open} valve (k=1.4)%
\label{shock:tab:suddenlyOpened}}\\
\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M_x} $}  & 
\multicolumn{1}{|c} {$\mathbf{M_y} $}  & 
\multicolumn{1}{|c} {$\mathbf{{M_x}^{'}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{M_y}^{'}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{T_y} \over {T_x}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{P_y} \over {P_x}} $}  & 
\multicolumn{1}{|c|} {$\mathbf{{P_0}_y \over {P_0}_x } $} 

\\\hline

\endfirsthead
\caption{ Table for Shock Propagating  from suddenly \textbf{open} valve %
(k=1.4)} \\\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M_x} $}  & 
\multicolumn{1}{|c} {$\mathbf{M_y} $}  & 
\multicolumn{1}{|c} {$\mathbf{{M_x}^{'}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{M_y}^{'}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{T_y} \over {T_x}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{P_y} \over {P_x}} $}  & 
\multicolumn{1}{|c|} {$\mathbf{{P_0}_y \over {P_0}_x } $} 

\\\hline
\endhead
   1.006&   0.99402&      0.0&  0.01&    1.004&    1.014&   1.00000
\\ \hline
    1.012&   0.98807&      0.0&  0.02&    1.008&    1.028&   1.00000
\\ \hline
    1.018&   0.98216&      0.0&  0.03&    1.012&    1.043&   0.99999
\\ \hline
    1.024&   0.97629&      0.0&  0.04&    1.016&    1.058&   0.99998
\\ \hline
    1.031&   0.97045&      0.0&  0.05&    1.020&    1.073&   0.99996
\\ \hline
    1.037&   0.96465&      0.0&  0.06&    1.024&    1.088&   0.99994
\\ \hline
    1.044&   0.95888&      0.0&  0.07&    1.029&    1.104&   0.99990
\\ \hline
    1.050&   0.95315&      0.0&  0.08&    1.033&    1.120&   0.99985
\\ \hline
    1.057&   0.94746&      0.0&  0.09&    1.037&    1.136&   0.99979
\\ \hline
    1.063&   0.94180&      0.0&   0.10&    1.041&    1.152&   0.99971
\\ \hline
    1.133&   0.88717&      0.0&   0.20&    1.086&    1.331&   0.99763
\\ \hline
    1.210&   0.83607&      0.0&   0.30&    1.134&    1.541&   0.99181
\\ \hline
    1.295&   0.78840&      0.0&   0.40&    1.188&    1.791&   0.98019
\\ \hline
    1.390&   0.74403&      0.0&   0.50&    1.248&    2.087&   0.96069
\\ \hline
    1.495&   0.70283&      0.0&   0.60&    1.317&    2.441&   0.93133
\\ \hline
    1.613&   0.66462&      0.0&   0.70&    1.397&    2.868&   0.89039
\\ \hline
    1.745&   0.62923&      0.0&   0.80&    1.491&    3.387&   0.83661
\\ \hline
    1.896&   0.59649&      0.0&   0.90&    1.604&    4.025&   0.76940
\\ \hline
    2.068&   0.56619&      0.0&   1.00&    1.744&    4.823&   0.68907
\\ \hline
    2.269&   0.53817&      0.0&    1.100&    1.919&    5.840&   0.59699 \\
\hline
    2.508&   0.51223&      0.0&    1.200&    2.145&    7.171&   0.49586 \\
\hline
    2.799&   0.48823&      0.0&    1.300&    2.450&    8.975&   0.38974 \\
\hline
    3.167&   0.46599&      0.0&    1.400&    2.881&    11.54&   0.28412 \\
\hline
    3.658&   0.44536&      0.0&    1.500&    3.536&    15.45&   0.18575 \\
\hline
    4.368&   0.42622&      0.0&    1.600&    4.646&    22.09&   0.10216 \\
\hline
    5.551&   0.40843&      0.0&    1.700&    6.931&    35.78&  0.040812 \\
\hline
    8.293&   0.39187&      0.0&    1.800&    14.32&    80.07&   0.00721 \\
\hline
    8.821&   0.39028&      0.0&    1.810&    16.07&    90.61&   0.00544 \\
\hline
    9.457&   0.38870&      0.0&    1.820&    18.33&  1.0E+2&   0.00395 \\
\hline
    10.24&   0.38713&      0.0&    1.830&    21.35&  1.2E+2&   0.00272 \\
\hline
    11.25&   0.38557&      0.0&    1.840&    25.57&  1.5E+2&   0.00175 \\
\hline
    12.62&   0.38402&      0.0&    1.850&    31.92&  1.9E+2&   0.00101 \\
\hline
    14.62&   0.38248&      0.0&    1.860&    42.53&  2.5E+2&  0.000497 \\
\hline
    17.99&   0.38096&      0.0&    1.870&    63.84&  3.8E+2&  0.000181 \\
\hline
    25.62&   0.37944&      0.0&    1.880&  1.3E+2&  7.7E+2&  3.18E-5 \\
\hline
    61.31&   0.37822&      0.0&    1.888&  7.3E+2&  4.4E+3&      0.0 \\
\hline
    62.95&   0.37821&      0.0&    1.888&  7.7E+2&  4.6E+3&      0.0 \\
\hline
    64.74&   0.37820&      0.0&    1.888&  8.2E+2&  4.9E+3&      0.0 \\
\hline
    66.69&   0.37818&      0.0&    1.888&  8.7E+2&  5.2E+3&      0.0 \\
\hline
    68.83&   0.37817&      0.0&    1.888&  9.2E+2&  5.5E+3&      0.0 \\
\hline
    71.18&   0.37816&      0.0&    1.889&  9.9E+2&  5.9E+3&      0.0 \\
\hline
    73.80&   0.37814&      0.0&    1.889&  1.1E+3&  6.4E+3&      0.0 \\
\hline
    76.72&   0.37813&      0.0&    1.889&  1.1E+3&  6.9E+3&      0.0 \\
\hline
    80.02&   0.37812&      0.0&    1.889&  1.2E+3&  7.5E+3&      0.0 \\
\hline
    83.79&   0.37810&      0.0&    1.889&  1.4E+3&  8.2E+3&      0.0 \\
\hline
\end{longtable}


\setlongtables
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\begin{longtable}
{l|l|l|l|l|l|l}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{1.4}|D..{1.6}|D..{1.1}|D..{1.3}|D..{1.4}|D..{2.4}|D..{1.6}|}
%end{latexonly}
\caption{ Table for Shock Propagating from suddenly \textbf{open} 
	valve (k=1.3) \label{shock:tab:suddenlyOpened1.3}}\\
\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M_x} $}  & 
\multicolumn{1}{|c} {$\mathbf{M_y} $}  & 
\multicolumn{1}{|c} {$\mathbf{{M_x}^{'}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{M_y}^{'}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{T_y} \over {T_x}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{P_y} \over {P_x}} $}  & 
\multicolumn{1}{|c|} {$\mathbf{{P_0}_y \over {P_0}_x } $} 

\\\hline

\endfirsthead
\caption{ Table for Shock Propagating from suddenly \textbf{open} valve %
(k=1.3)} \\\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M_x} $}  & 
\multicolumn{1}{|c} {$\mathbf{M_y} $}  & 
\multicolumn{1}{|c} {$\mathbf{{M_x}^{'}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{M_y}^{'}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{T_y} \over {T_x}} $}  & 
\multicolumn{1}{|c} {$\mathbf{{P_y} \over {P_x}} $}  & 
\multicolumn{1}{|c|} {$\mathbf{{P_0}_y \over {P_0}_x } $} 

\\\hline
\endhead
   1.0058&   0.99427&      0.0&  0.010&    1.003&    1.013&   1.00000
\\ \hline
    1.012&   0.98857&      0.0&  0.020&    1.006&    1.026&   1.00000
\\ \hline
    1.017&   0.98290&      0.0&  0.030&    1.009&    1.040&   0.99999
\\ \hline
    1.023&   0.97726&      0.0&  0.040&    1.012&    1.054&   0.99998
\\ \hline
    1.029&   0.97166&      0.0&  0.050&    1.015&    1.067&   0.99997
\\ \hline
    1.035&   0.96610&      0.0&  0.060&    1.018&    1.081&   0.99995
\\ \hline
    1.042&   0.96056&      0.0&  0.070&    1.021&    1.096&   0.99991
\\ \hline
    1.048&   0.95506&      0.0&  0.080&    1.024&    1.110&   0.99987
\\ \hline
    1.054&   0.94959&      0.0&  0.090&    1.028&    1.125&   0.99981
\\ \hline
    1.060&   0.94415&      0.0&   0.100&    1.031&    1.140&   0.99975
\\ \hline
    1.126&   0.89159&      0.0&   0.200&    1.063&    1.302&   0.99792
\\ \hline
    1.197&   0.84227&      0.0&   0.300&    1.098&    1.489&   0.99288
\\ \hline
    1.275&   0.79611&      0.0&   0.400&    1.136&    1.706&   0.98290
\\ \hline
    1.359&   0.75301&      0.0&   0.500&    1.177&    1.959&   0.96631
\\ \hline
    1.452&   0.71284&      0.0&   0.600&    1.223&    2.252&   0.94156
\\ \hline
    1.553&   0.67546&      0.0&   0.700&    1.274&    2.595&   0.90734
\\ \hline
    1.663&   0.64073&      0.0&   0.800&    1.333&    2.997&   0.86274
\\ \hline
    1.785&   0.60847&      0.0&   0.900&    1.400&    3.471&   0.80734
\\ \hline
    1.919&   0.57853&      0.0&   1.00&    1.478&    4.034&   0.74136
\\ \hline
    2.069&   0.55074&      0.0&    1.100&    1.570&    4.707&   0.66575 \\
\hline
    2.236&   0.52495&      0.0&    1.200&    1.681&    5.522&   0.58223 \\
\hline
    2.426&   0.50100&      0.0&    1.300&    1.815&    6.523&   0.49333 \\
\hline
    2.644&   0.47875&      0.0&    1.400&    1.980&    7.772&   0.40226 \\
\hline
    2.898&   0.45807&      0.0&    1.500&    2.191&    9.367&   0.31281 \\
\hline
    3.202&   0.43882&      0.0&    1.600&    2.467&    11.46&   0.22904 \\
\hline
    3.576&   0.42089&      0.0&    1.700&    2.842&    14.32&   0.15495 \\
\hline
    4.053&   0.40418&      0.0&    1.800&    3.381&    18.44&  0.093988 \\
\hline
    4.109&   0.40257&      0.0&    1.810&    3.448&    18.95&  0.088718 \\
\hline
    4.166&   0.40097&      0.0&    1.820&    3.519&    19.49&  0.083607 \\
\hline
    4.225&   0.39938&      0.0&    1.830&    3.592&    20.05&  0.078654 \\
\hline
    4.286&   0.39780&      0.0&    1.840&    3.669&    20.64&  0.073863 \\
\hline
    4.349&   0.39624&      0.0&    1.850&    3.749&    21.25&  0.069233 \\
\hline
    4.415&   0.39468&      0.0&    1.860&    3.834&    21.90&  0.064766 \\
\hline
    4.482&   0.39314&      0.0&    1.870&    3.923&    22.58&  0.060462 \\
\hline
    4.553&   0.39160&      0.0&    1.880&    4.016&    23.30&  0.056322 \\
\hline
    4.611&   0.39037&      0.0&    1.888&    4.096&    23.91&  0.053088 \\
\hline
    4.612&   0.39035&      0.0&    1.888&    4.097&    23.91&  0.053053 \\
\hline
    4.613&   0.39034&      0.0&    1.888&    4.098&    23.92&  0.053018 \\
\hline
    4.613&   0.39033&      0.0&    1.888&    4.099&    23.93&  0.052984 \\
\hline
    4.614&   0.39031&      0.0&    1.888&    4.099&    23.93&  0.052949 \\
\hline
    4.615&   0.39030&      0.0&    1.889&    4.100&    23.94&  0.052914 \\
\hline
    4.615&   0.39029&      0.0&    1.889&    4.101&    23.95&  0.052879 \\
\hline
    4.616&   0.39027&      0.0&    1.889&    4.102&    23.95&  0.052844 \\
\hline
    4.616&   0.39026&      0.0&    1.889&    4.103&    23.96&  0.052809 \\
\hline
    4.617&   0.39025&      0.0&    1.889&    4.104&    23.97&  0.052775 \\
\hline
\end{longtable}


\chapter{Isothermal Flow}
\label{chap:Isothermal}

\setlongtables
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\begin{longtable}
{l|l|l|l|l|l}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{2.5}|D..{2.5}|D..{2.5}|D..{2.5}|D..{2.5}|D..{2.5}|}
%end{latexonly}
\caption{ The Isothermal Flow basic parameters  \label{isothermal:tab:basic}}\\
\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $}  & 
\multicolumn{1}{|c} {$\mathbf{4fL \over D} $}  & 
\multicolumn{1}{|c} {$\mathbf{P \over P^{*}} $}  & 
\multicolumn{1}{|c} {$\mathbf{P_0 \over {P_0}^{*}} $}  & 
\multicolumn{1}{|c} {$\mathbf{\rho \over \rho^{*}} $}  & 
\multicolumn{1}{|c|} {$\mathbf{T_0 \over {T_0}^{*}} $} 

\\\hline

\endfirsthead
\caption{ The Isothermal Flow basic parameters  (continue)} \\\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $}  & 
\multicolumn{1}{|c} {$\mathbf{4fL \over D} $}  & 
\multicolumn{1}{|c} {$\mathbf{P \over P^{*}} $}  & 
\multicolumn{1}{|c} {$\mathbf{P_0 \over {P_0}^{*}} $}  & 
\multicolumn{1}{|c} {$\mathbf{\rho \over \rho^{*}} $}  & 
\multicolumn{1}{|c|} {$\mathbf{T_0 \over {T_0}^{*}} $} 

\\\hline
\endhead
   0.03000&   785.97&  28.1718&  17.6651&  28.1718&   0.87516 \\ \hline
   0.04000&   439.33&  21.1289&  13.2553&  21.1289&   0.87528 \\ \hline
   0.05000&   279.06&  16.9031&  10.6109&  16.9031&   0.87544 \\ \hline
   0.06000&   192.12&  14.0859&   8.8493&  14.0859&   0.87563 \\ \hline
   0.07000&   139.79&  12.0736&   7.5920&  12.0736&   0.87586 \\ \hline
   0.08000&   105.89&  10.5644&   6.6500&  10.5644&   0.87612 \\ \hline
   0.09000&  82.7040&   9.3906&   5.9181&   9.3906&   0.87642 \\ \hline
   0.10000&  66.1599&   8.4515&   5.3334&   8.4515&   0.87675 \\ \hline
   0.20000&  13.9747&   4.2258&   2.7230&   4.2258&   0.88200 \\ \hline
   0.25000&   7.9925&   3.3806&   2.2126&   3.3806&   0.88594 \\ \hline
   0.30000&   4.8650&   2.8172&   1.8791&   2.8172&   0.89075 \\ \hline
   0.35000&   3.0677&   2.4147&   1.6470&   2.4147&   0.89644 \\ \hline
   0.40000&   1.9682&   2.1129&   1.4784&   2.1129&   0.90300 \\ \hline
   0.45000&   1.2668&   1.8781&   1.3524&   1.8781&   0.91044 \\ \hline
   0.50000&   0.80732&   1.6903&   1.2565&   1.6903&   0.91875 \\ \hline
   0.55000&   0.50207&   1.5366&   1.1827&   1.5366&   0.92794 \\ \hline
   0.60000&   0.29895&   1.4086&   1.1259&   1.4086&   0.93800 \\ \hline
   0.65000&   0.16552&   1.3002&   1.0823&   1.3002&   0.94894 \\ \hline
   0.70000&   0.08085&   1.2074&   1.0495&   1.2074&   0.96075 \\ \hline
   0.75000&   0.03095&   1.1269&   1.0255&   1.1269&   0.97344 \\ \hline
   0.80000&   0.00626&    1.056&    1.009&    1.056&   0.98700 \\ \hline
   0.81000&   0.00371&    1.043&    1.007&    1.043&   0.98982 \\ \hline
   0.81879&   0.00205&    1.032&    1.005&    1.032&   0.99232 \\ \hline
   0.82758&  0.000896&    1.021&    1.003&    1.021&   0.99485 \\ \hline
   0.83637&  0.000220&    1.011&    1.001&    1.011&   0.99741 \\ \hline
   0.84515&      0.0&    1.000&    1.000&    1.000&    1.000 \\ \hline
\end{longtable}
\begin{verbatim}
To produce this table rum program with:\\
variableName =  machV;
int isRange = yes;
whatInfo = infoStandard ;
\end{verbatim}

\begin{htmlonly}
\begin{longtable}
{l|l|l|l|l}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{-1}|D..{2.7}|D..{3.7}|D..{2.7}|D..{2.7}|}
%end{latexonly}
\caption{ The flow parameters for unchoked flow  
\label{isothermal:tab:unchoked}}\\\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in} \mathbf{M_1} $}  & 
\multicolumn{1}{|c} {$\mathbf{M_2} $}  & 
\multicolumn{1}{|c}{$  \mathbf{\left.{4fL_{max} \over D }\right|_{1} } $ } & 
\multicolumn{1}{|c}{$  \mathbf{4fL \over D } $ } & 
\multicolumn{1}{|c|}{$  \mathbf{P_2 \over P_1} $ } 
\\\hline

\endfirsthead
\endhead
0.7272&	0.84095&	0.05005&	0.05000&	0.10000	 \\ \hline
0.6934&	0.83997&	0.08978&	0.08971&	0.10000	 \\ \hline
0.6684&	0.84018&	0.12949&	0.12942&	0.10000	 \\ \hline
0.6483&	0.83920&	0.16922&	0.16912&	0.10000	 \\ \hline
0.5914&	0.83889&	0.32807&	0.32795&	0.10000	 \\ \hline
0.5807&	0.83827&	0.36780&	0.36766&	0.10000	 \\ \hline
0.5708&	0.83740&	0.40754&	0.40737&	0.10000	 \\ \hline
\end{longtable}

\chapter{ Fanno Flow}
\label{chap:fanno}

\begin{htmlonly}
\begin{longtable}
{l|l|l|l|l|l|l}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{2.3}|D..{3.5}|D..{2.5}|D..{1.5}|D..{1.4}|D..{1.4}|D..{1.5}|}
%end{latexonly}
\caption{ Fanno Flow Standard basic Table  \label{fanno:tab:basic}}\\
\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $}  & 
\multicolumn{1}{|c} {$\mathbf{4fL \over D} $}  & 
\multicolumn{1}{|c} {$\mathbf{P \over P^{*}} $}  & 
\multicolumn{1}{|c} {$\mathbf{P_0 \over {P_0}^{*}} $}  & 
\multicolumn{1}{|c} {$\mathbf{\rho \over \rho^{*}} $}  & 
\multicolumn{1}{|c} {$\mathbf{U \over {U}^{*}} $}  & 
\multicolumn{1}{|c|} {$\mathbf{T \over T^{*}} $} 

\\\hline

\endfirsthead
\endhead
   0.030&   787.08&  36.5116&  19.3005&  30.4318&   0.03286&   1.1998 \\ \hline
   0.040&   440.35&  27.3817&  14.4815&  22.8254&   0.04381&   1.1996 \\ \hline
   0.050&   280.02&  21.9034&  11.5914&  18.2620&   0.05476&   1.1994 \\ \hline
   0.060&   193.03&  18.2508&   9.6659&  15.2200&   0.06570&   1.1991 \\ \hline
   0.070&   140.66&  15.6416&   8.2915&  13.0474&   0.07664&   1.1988 \\ \hline
   0.080&   106.72&  13.6843&   7.2616&  11.4182&   0.08758&   1.1985 \\ \hline
   0.090&  83.4961&  12.1618&   6.4613&  10.1512&   0.09851&   1.1981 \\ \hline
   0.100&  66.9216&  10.9435&   5.8218&   9.1378&   0.10944&   1.1976 \\ \hline
   0.200&  14.5333&   5.4554&   2.9635&   4.5826&   0.21822&   1.1905 \\ \hline
   0.250&   8.4834&   4.3546&   2.4027&   3.6742&   0.27217&   1.1852 \\ \hline
   0.300&   5.2993&   3.6191&   2.0351&   3.0702&   0.32572&   1.1788 \\ \hline
   0.350&   3.4525&   3.0922&   1.7780&   2.6400&   0.37879&   1.1713 \\ \hline
   0.400&   2.3085&   2.6958&   1.5901&   2.3184&   0.43133&   1.1628 \\ \hline
   0.450&   1.5664&   2.3865&   1.4487&   2.0693&   0.48326&   1.1533 \\ \hline
   0.500&   1.0691&   2.1381&   1.3398&   1.8708&   0.53452&   1.1429 \\ \hline
   0.550&   0.72805&   1.9341&   1.2549&   1.7092&   0.58506&   1.1315 \\ \hline
   0.600&   0.49082&   1.7634&   1.1882&   1.5753&   0.63481&   1.1194 \\ \hline
   0.650&   0.32459&   1.6183&   1.1356&   1.4626&   0.68374&   1.1065 \\ \hline
   0.700&   0.20814&   1.4935&   1.0944&   1.3665&   0.73179&   1.0929 \\ \hline
   0.750&   0.12728&   1.3848&   1.0624&   1.2838&   0.77894&   1.0787 \\ \hline
   0.800&   0.07229&   1.2893&   1.0382&   1.2119&   0.82514&   1.0638 \\ \hline
   0.850&   0.03633&   1.2047&   1.0207&   1.1489&   0.87037&   1.0485 \\ \hline
   0.900&   0.01451&   1.1291&   1.0089&   1.0934&   0.91460&   1.0327 \\ \hline
   0.950&   0.00328&    1.061&    1.002&    1.044&   0.95781&    1.017 \\ \hline
    1.000&      0.0&   1.00000&   1.00000&   1.00000&    1.000&   1.00000 \\ \hline
    2.000&   0.30500&   0.40825&    1.688&   0.61237&    1.633&   0.66667 \\ \hline
    3.000&   0.52216&   0.21822&    4.235&   0.50918&    1.964&   0.42857 \\ \hline
    4.000&   0.63306&   0.13363&    10.72&   0.46771&    2.138&   0.28571 \\ \hline
    5.000&   0.69380&  0.089443&    25.00&   0.44721&    2.236&   0.20000 \\ \hline
    6.000&   0.72988&  0.063758&    53.18&   0.43568&    2.295&   0.14634 \\ \hline
    7.000&   0.75280&  0.047619&  1.0E+2&   0.42857&    2.333&   0.11111 \\ \hline
    8.000&   0.76819&  0.036860&  1.9E+2&   0.42390&    2.359&  0.086957 \\ \hline
    9.000&   0.77899&  0.029348&  3.3E+2&   0.42066&    2.377&  0.069767 \\ \hline
    10.00&   0.78683&  0.023905&  5.4E+2&   0.41833&    2.390&  0.057143 \\ \hline
    20.00&   0.81265&   0.00609&  1.5E+4&   0.41079&    2.434&  0.014815 \\ \hline
    25.00&   0.81582&   0.00390&  4.6E+4&   0.40988&    2.440&   0.00952 \\ \hline
    30.00&   0.81755&   0.00271&  1.1E+5&   0.40938&    2.443&   0.00663 \\ \hline
    35.00&   0.81860&   0.00200&  2.5E+5&   0.40908&    2.445&   0.00488 \\ \hline
    40.00&   0.81928&   0.00153&  4.8E+5&   0.40889&    2.446&   0.00374 \\ \hline
    45.00&   0.81975&   0.00121&  8.6E+5&   0.40875&    2.446&   0.00296 \\ \hline
    50.00&   0.82008&  0.000979&  1.5E+6&   0.40866&    2.447&   0.00240 \\ \hline
    55.00&   0.82033&  0.000809&  2.3E+6&   0.40859&    2.447&   0.00198 \\ \hline
    60.00&   0.82052&  0.000680&  3.6E+6&   0.40853&    2.448&   0.00166 \\ \hline
    65.00&   0.82066&  0.000579&  5.4E+6&   0.40849&    2.448&   0.00142 \\ \hline
    70.00&   0.82078&  0.000500&  7.8E+6&   0.40846&    2.448&   0.00122 \\ \hline
\end{longtable}


\chapter{Rayleigh Flow }


\setlongtables
\begin{htmlonly}
\begin{longtable}
{l|l|l|l|l|l}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{2.3}|D..{2.6}|D..{2.5}|D..{2.6}|D..{2.5}|D..{2.5}|}
%end{latexonly}
\caption{ Rayleigh Flow  k=1.4 \label{ray:tab:basic}}\\
\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $}  & 
\multicolumn{1}{|c} {$\mathbf{T \over T^{*}} $}  & 
\multicolumn{1}{|c} {$\mathbf{T_0 \over {T_0}^{*}} $}  & 
\multicolumn{1}{|c} {$\mathbf{P \over P^{*}} $}  & 
\multicolumn{1}{|c} {$\mathbf{P_0 \over {P_0}^{*}} $}  & 
\multicolumn{1}{|c|} {$\mathbf{\rho^{*} \over \rho} $} 

\\\hline

\endfirsthead
\caption{ Rayleigh Flow k=1.4 (continue)} \\\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $}  & 
\multicolumn{1}{|c} {$\mathbf{T \over T^{*}} $}  & 
\multicolumn{1}{|c} {$\mathbf{T_0 \over {T_0}^{*}} $}  & 
\multicolumn{1}{|c} {$\mathbf{P \over P^{*}} $}  & 
\multicolumn{1}{|c} {$\mathbf{P_0 \over {P_0}^{*}} $}  & 
\multicolumn{1}{|c|} {$\mathbf{\rho^{*} \over \rho} $} 

\\\hline
\endhead
   0.03&   0.00517&   0.00431&    2.397&    1.267&   0.00216 \\ \hline
  0.040&   0.00917&   0.00765&    2.395&    1.266&   0.00383 \\ \hline
  0.050&  0.014300&  0.011922&    2.392&    1.266&   0.00598 \\ \hline
  0.060&  0.020529&  0.017119&    2.388&    1.265&   0.00860 \\ \hline
  0.070&  0.027841&  0.023223&    2.384&    1.264&  0.011680 \\ \hline
  0.080&  0.036212&  0.030215&    2.379&    1.262&  0.015224 \\ \hline
  0.090&  0.045616&  0.038075&    2.373&    1.261&  0.019222 \\ \hline
  0.100&  0.056020&  0.046777&    2.367&    1.259&  0.023669 \\ \hline
   0.20&   0.20661&   0.17355&    2.273&    1.235&  0.090909 \\ \hline
   0.25&   0.30440&   0.25684&    2.207&    1.218&   0.13793 \\ \hline
   0.30&   0.40887&   0.34686&    2.131&    1.199&   0.19183 \\ \hline
   0.35&   0.51413&   0.43894&    2.049&    1.178&   0.25096 \\ \hline
   0.40&   0.61515&   0.52903&    1.961&    1.157&   0.31373 \\ \hline
   0.45&   0.70804&   0.61393&    1.870&    1.135&   0.37865 \\ \hline
   0.50&   0.79012&   0.69136&    1.778&    1.114&   0.44444 \\ \hline
   0.55&   0.85987&   0.75991&    1.686&    1.094&   0.51001 \\ \hline
   0.60&   0.91670&   0.81892&    1.596&    1.075&   0.57447 \\ \hline
   0.65&   0.96081&   0.86833&    1.508&    1.058&   0.63713 \\ \hline
   0.70&   0.99290&   0.90850&    1.423&    1.043&   0.69751 \\ \hline
   0.75&    1.014&   0.94009&    1.343&    1.030&   0.75524 \\ \hline
   0.80&    1.025&   0.96395&    1.266&    1.019&   0.81013 \\ \hline
   0.85&    1.029&   0.98097&    1.193&    1.011&   0.86204 \\ \hline
   0.90&    1.025&   0.99207&    1.125&    1.005&   0.91097 \\ \hline
   0.95&    1.015&   0.99814&    1.060&    1.001&   0.95693 \\ \hline
    1.0&   1.00&    1.00&   1.00&   1.00&    1.000 \\ \hline
    1.1&   0.96031&   0.99392&   0.89087&    1.005&    1.078 \\ \hline
    1.2&   0.91185&   0.97872&   0.79576&    1.019&    1.146 \\ \hline
    1.3&   0.85917&   0.95798&   0.71301&    1.044&    1.205 \\ \hline
    1.4&   0.80539&   0.93425&   0.64103&    1.078&    1.256 \\ \hline
    1.5&   0.75250&   0.90928&   0.57831&    1.122&    1.301 \\ \hline
    1.6&   0.70174&   0.88419&   0.52356&    1.176&    1.340 \\ \hline
    1.7&   0.65377&   0.85971&   0.47562&    1.240&    1.375 \\ \hline
    1.8&   0.60894&   0.83628&   0.43353&    1.316&    1.405 \\ \hline
    1.9&   0.56734&   0.81414&   0.39643&    1.403&    1.431 \\ \hline
    2.0&   0.52893&   0.79339&   0.36364&    1.503&    1.455 \\ \hline
    2.1&   0.49356&   0.77406&   0.33454&    1.616&    1.475 \\ \hline
    2.2&   0.46106&   0.75613&   0.30864&    1.743&    1.494 \\ \hline
    2.3&   0.43122&   0.73954&   0.28551&    1.886&    1.510 \\ \hline
    2.4&   0.40384&   0.72421&   0.26478&    2.045&    1.525 \\ \hline
    2.5&   0.37870&   0.71006&   0.24615&    2.222&    1.538 \\ \hline
    2.6&   0.35561&   0.69700&   0.22936&    2.418&    1.550 \\ \hline
    2.7&   0.33439&   0.68494&   0.21417&    2.634&    1.561 \\ \hline
    2.8&   0.31486&   0.67380&   0.20040&    2.873&    1.571 \\ \hline
    2.9&   0.29687&   0.66350&   0.18788&    3.136&    1.580 \\ \hline
    3.0&   0.28028&   0.65398&   0.17647&    3.424&    1.588 \\ \hline
    3.5&   0.21419&   0.61580&   0.13223&    5.328&    1.620 \\ \hline
    4.0&   0.16831&   0.58909&   0.10256&    8.227&    1.641 \\ \hline
    4.5&   0.13540&   0.56982&  0.081772&    12.50&    1.656 \\ \hline
    5.0&   0.11111&   0.55556&  0.066667&    18.63&    1.667 \\ \hline
    5.5&  0.092719&   0.54473&  0.055363&    27.21&    1.675 \\ \hline
    6.0&  0.078487&   0.53633&  0.046693&    38.95&    1.681 \\ \hline
    6.5&  0.067263&   0.52970&  0.039900&    54.68&    1.686 \\ \hline
    7.0&  0.058264&   0.52438&  0.034483&    75.41&    1.690 \\ \hline
    7.5&  0.050943&   0.52004&  0.030094&  1.0E+2&    1.693 \\ \hline
    8.0&  0.044910&   0.51647&  0.026490&  1.4E+2&    1.695 \\ \hline
    8.5&  0.039883&   0.51349&  0.023495&  1.8E+2&    1.698 \\ \hline
    9.0&  0.035650&   0.51098&  0.020979&  2.3E+2&    1.699 \\ \hline
    9.5&  0.032053&   0.50885&  0.018846&  3.0E+2&    1.701 \\ \hline
    10.0&  0.028972&   0.50702&  0.017021&  3.8E+2&    1.702 \\ \hline
    20.0&   0.00732&   0.49415&   0.00428&  1.1E+4&    1.711 \\ \hline
    25.0&   0.00469&   0.49259&   0.00274&  3.2E+4&    1.712 \\ \hline
    30.0&   0.00326&   0.49174&   0.00190&  8.0E+4&    1.713 \\ \hline
    35.0&   0.00240&   0.49122&   0.00140&  1.7E+5&    1.713 \\ \hline
    40.0&   0.00184&   0.49089&   0.00107&  3.4E+5&    1.714 \\ \hline
    45.0&   0.00145&   0.49066&  0.000846&  6.0E+5&    1.714 \\ \hline
    50.0&   0.00117&   0.49050&  0.000686&  1.0E+6&    1.714 \\ \hline
    55.0&  0.000971&   0.49037&  0.000567&  1.6E+6&    1.714 \\ \hline
    60.0&  0.000816&   0.49028&  0.000476&  2.5E+6&    1.714 \\ \hline
    65.0&  0.000695&   0.49021&  0.000406&  3.8E+6&    1.714 \\ \hline
    70.0&  0.000600&   0.49015&  0.000350&  5.5E+6&    1.714 \\ \hline
\end{longtable}

\chapter{Prandtl-Meyer Function}
\label{chap:Prandtl-Meyer}

\htmetainfo{description}{free prandtl-meyer textbook pdf in HTML open
source }
\htmetainfo{keywords}{Prandtl-Meyer function,
gas dynamics calculator, detached shock,  Taylor--Maccoll flow }
\parindent 25pt


\setlongtables
\begin{htmlonly} 
\begin{longtable}{|l|l|l|l|l|l|}
\end{htmlonly} 
%begin{latexonly} 
\begin{longtable}
{|D..{2.5}|D..{2.5}|D..{2.5}|D..{2.5}|D..{2.5}|D..{2.5}|}
%end{latexonly} 
\caption{ Prandtl-Meyer Tables  \label{pm:tab:basic}}\\
\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $}
& 
\multicolumn{1}{|c} {$\mathbf{\nu} $}  & 
\multicolumn{1}{|c} {$\mathbf{P \over P_0} $}  & 
\multicolumn{1}{|c} {$\mathbf{T \over T_0} $}  & 
\multicolumn{1}{|c} {$\mathbf{\rho \over \rho_0} $}  & 
\multicolumn{1}{|c|} {$\mathbf{\mu } $} 

\\\hline

\endfirsthead
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $}
& 
\multicolumn{1}{|c} {$\mathbf{\nu} $}  & 
\multicolumn{1}{|c} {$\mathbf{P \over P_0} $}  & 
\multicolumn{1}{|c} {$\mathbf{T \over T_0} $}  & 
\multicolumn{1}{|c} {$\mathbf{\rho \over \rho_0} $}  & 
\multicolumn{1}{|c|} {$\mathbf{\mu } $} 

\\\hline
\endhead
   1.0000&      0.0&   0.52828&   0.83333&   0.63394&    45.00
\\ \hline
    1.100&    1.336&   0.46835&   0.80515&   0.58170&    47.73
\\ \hline
    1.200&    3.558&   0.41238&   0.77640&   0.53114&    50.19
\\ \hline
    1.300&    6.170&   0.36091&   0.74738&   0.48290&    52.43
\\ \hline
    1.400&    8.987&   0.31424&   0.71839&   0.43742&    54.46
\\ \hline
    1.500&    11.91&   0.27240&   0.68966&   0.39498&    56.31
\\ \hline
    1.600&    14.86&   0.23527&   0.66138&   0.35573&    57.99
\\ \hline
    1.700&    17.81&   0.20259&   0.63371&   0.31969&    59.53
\\ \hline
    1.800&    20.73&   0.17404&   0.60680&   0.28682&    60.95
\\ \hline
    1.900&    23.59&   0.14924&   0.58072&   0.25699&    62.24
\\ \hline
    2.000&    26.38&   0.12780&   0.55556&   0.23005&    63.43
\\ \hline
    3.000&    49.76&  0.027224&   0.35714&  0.076226&    71.57
\\ \hline
    4.000&    65.78&   0.00659&   0.23810&  0.027662&    75.96
\\ \hline
    5.000&    76.92&   0.00189&   0.16667&  0.011340&    78.69
\\ \hline
    6.000&    84.96&  0.000633&   0.12195&   0.00519&    80.54
\\ \hline
    7.000&    90.97&  0.000242&  0.092593&   0.00261&    81.87
\\ \hline
    8.000&    95.62&  0.000102&  0.072464&   0.00141&    82.87
\\ \hline
    9.000&    99.32&  4.74E-05&  0.058140&  0.000815&    83.66
\\ \hline
    10.00&  1.0E+02&  2.36E-05&  0.047619&  0.000495&    84.29
\\ \hline
\end{longtable}

\end{document}
