deletions | additions       diff --git a/We_expect_the_transmission_data__.tex b/We_expect_the_transmission_data__.tex  index 7e11b49..b568663 100644  --- a/We_expect_the_transmission_data__.tex  +++ b/We_expect_the_transmission_data__.tex 
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\end{equation}  where the offset is a polynomial fit in time up to order 2 and $\omega_{1},\cdots,\omega_{6}$ are the resonant frequency of the hyperfine peaks in the scan ordered by time.  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.  The %The  equation is given by, \begin{equation}\label{eq3}  T(\omega)=\left( %\begin{equation}\label{eq3}  %T(\omega)=\left(  \frac{\Gamma}{2}\right )^{2}*\left( \frac{A_{1}}{(\omega-\omega_{1})^{2}+\frac{\Gamma}{2}^{2}} +\cdots+ \frac{A_{6}}{(\omega-\omega_{6})^{2}+\frac{\Gamma}{2}^{2}} \right)+\text{offset} \end{equation} %\end{equation}