deletions | additions       diff --git a/We_see_from_Figure_4__.tex b/We_see_from_Figure_4__.tex  index a4616c9..cb76976 100644  --- a/We_see_from_Figure_4__.tex  +++ b/We_see_from_Figure_4__.tex 
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We see from Figure 4; that $c_{IT}$ is close to the theoretical wave speed $$. For the calculations based on $P$ and $U$ calculated at the middle of the vessel (location 7) the sum-of-squares wave speed $c_{SS}$ is also fairly close to $$. When we look at the results calculated for data at different locations in the vessel we see that $c_{IT}$ remains close to $$ but $c_{SS}$ deviates freatly from $$ (Table 1).  \begin{center}  \begin{table}  \begin{tabular}{ccccc} \hline  location & $x/L$ & $$ & $c_{IT}$ & $c_{SS}$ \\ 
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8 & .75 & 5.16 & 5.20 & 5.75 \\  9 & 1 & 5.16 & 5.22 & 7.17 \\  \end{tabular}  \caption{\textbf{Table 1.} Theoretical \caption{Theoretical  and estimated wave speeds for data calculated at different locations in the vessel during the quasi-steady period.} \end{table}  \end{center}