deletions | additions       diff --git a/oscillationTheory.tex b/oscillationTheory.tex  index 3fd5493..4282461 100644  --- a/oscillationTheory.tex  +++ b/oscillationTheory.tex 
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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  $U_{i \alpha}$ =  \begin{tabular}{l c r} 0.82 & 0.54 & -0.15 \\  -0.35 & 0.70 & 0.61 \\  0.44 & -0.45 & 0.77