deletions | additions       diff --git a/We_see_from_Figure_4__.tex b/We_see_from_Figure_4__.tex  index cb76976..6c02abb 100644  --- a/We_see_from_Figure_4__.tex  +++ b/We_see_from_Figure_4__.tex 
...
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 $$ but $c_{SS}$ deviates freatly greatly  from $$ (Table 1). $$.  \begin{table}  \begin{tabular}{ccccc}\hline  location & $x/L$ & $$ & $c_{IT}$ & $c_{SS}$ \\  1 & 0 & 5.16 & 5.27 & 4.51 \\  2 & .025 & 5.16 & 5.26 & 4.54 \\