deletions | additions       diff --git a/We_expect_the_transmission_data__.tex b/We_expect_the_transmission_data__.tex  index 552f60a..ecc1a61 100644  --- a/We_expect_the_transmission_data__.tex  +++ b/We_expect_the_transmission_data__.tex 
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\begin{equation}\label{eq3}  T(\omega)=T(\omega,\omega_{1})+T(\omega,\omega_{2})+\cdots +T(\omega,\omega_{6})+\text{offset}  \end{equation}  where the offset is a polynomial fit in time up to order 2. 2 and $\omega_{i}$ is the resonant frequency of the ith hyperfine peak in the scan.  Thus the transition frequency of the different peaks should theoretically be given by, $\omega_{1},\cdots,\omega_{6}$. The offset accounts for the background Gaussian distribution, which the Lorentzian functions are superimposed onto.