deletions | additions       diff --git a/data and analysis finding n.tex b/data and analysis finding n.tex  index de659ba..91a2f8e 100644  --- a/data and analysis finding n.tex  +++ b/data and analysis finding n.tex 
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Recall that n was found in correction $c_4$ as $n=1.2385$ and with some algebra it is found that $P=2-n^2=0.466$.  \Subsection{Error in n and P}  Error in n is found by the equation   \[dn= \sqrt{\frac{\rho_s}{\rho}}\sqrt{\left(\frac{1}{c_4}\right)^2 dc_1^2 + \left(\frac{-c_1}{c_4^2}\right)^2 dc_4^2}\] dc_4^2}=0.00712647\] so $n=1.239 \pm .007$