deletions | additions       diff --git a/Method 2.tex b/Method 2.tex  index cec041a..8fb8f16 100644  --- a/Method 2.tex  +++ b/Method 2.tex 
...
where $\sigma$ is the time resolution of a single scintillator detector. This relationship is due to the convolution of two identical Gaussian distributions corresponding to the individual scintillator detectors. In cases where we use a reference scintillator detector with a known time resolution, the CTR of an unknown scintillator detector is determined by subtraction in quadrature and a subsequent scaling such that  \begin{align}  \text{CTR} = 4\sqrt{\ln{2}}\sqrt{\sigma-\sigma_\textrm{ref}^2} 4\sqrt{\ln{2}}\sqrt{\sigma^2-\sigma_\textrm{ref}^2}  \end{align}  where $\sigma_\text{ref}$ is the reference time resolution. All CTR values in this paper are given in picoseconds.