deletions | additions       diff --git a/oscillationTheory.tex b/oscillationTheory.tex  index 5c866eb..3e7827b 100644  --- a/oscillationTheory.tex  +++ b/oscillationTheory.tex 
...
\end{equation}  where like in REFERENCE, $i$ ranges from 1 to 3 and denotes states of definite flavor; $\alpha$ ranges from 1 to 3 and denotes states of definite mass; and $U_{i \alpha} is the corresponding element in the Pontecorvo-Maki-Nakagawa-Sakata matrix:  \chi(\lambda) =   \left| \begin{array}{ccc}  \lambda - a & -b & -c \\  -d & \lambda - e & -f \\  -g & -h & \lambda - i \end{array} \right|.\]