deletions | additions       diff --git a/where_I_refers_to_the__.tex b/where_I_refers_to_the__.tex  index a739214..8f49a32 100644  --- a/where_I_refers_to_the__.tex  +++ b/where_I_refers_to_the__.tex 
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where "$I$" refers to the intensity of light received from $^{13}$CO $(___???___)$ emissions, "$\vec r$" refers to the position of the source, and "$v$" refers to the radial velocity at which the source is moving.\\ \\ What we care about is the $S_{2(signal)}$. $S_{2(signal)}$, i.e. the structure function from signal only.  This is found simply by calculating $S_2$ from noise only, and subtracting it from $S_2$ overall.\\ The above image displays (from left to right) the $T_{max}$ map of the region of M51 that we're looking at (at speeds from   $200 km/s$ to $400 km/s$ % vmin*velocityres to vmax*velocityres  ), a 2D map of $S_{2(signal)}$ where $\delta v=0$, and a 1D plot of azimuthally-averaged $S_{2(signal)}$ versus radius (for various values of $\delta v$).