deletions | additions       diff --git a/Analysis.tex b/Analysis.tex  index bc4e84f..cc010d6 100644  --- a/Analysis.tex  +++ b/Analysis.tex 
...
\begin{equation}  N = \frac{I}{B_\nu \mu_H m_H \kappa R_d}\\  B_\nu = \frac{2 h \nu^3}{c^2 (e^\frac{h \nu}{kT}-1)}\\  I = 1.085\times 10^{-18} B_\nu(860 GHz)\left(\frac{18.6"}{\theta}\right)^2 B_{mod}(860 GHz)\left(\frac{18.6"}{\theta}\right)^2\\  \kappa = \kappa_{1mm} \left(\frac{\lambda}{1.3mm}\right)^{-\beta}\\  \end{equation} where we have made the following assumptions: $\kappa_{1mm}$ = 0.11 $\frac{m^2}{kg}$, appropriate for ice-covered dust grains from OH94, $\theta$=15.0", the beamsize of the GBT at 49 GHz, and $\beta$ = 2.