deletions | additions       diff --git a/kinematics.tex b/kinematics.tex  index 2045290..0d7a951 100644  --- a/kinematics.tex  +++ b/kinematics.tex 
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\subsection{Kinematics of an Off-Axis Neutrino Beam}  \subsection{The Energy \subsubsection{Energy  of the Neutrino} The relevant decay for the NuMI beam is  \begin{equation}