deletions | additions       diff --git a/begin_flushleft_begin_align_S_2__1.tex b/begin_flushleft_begin_align_S_2__1.tex  index 613a5c7..b734448 100644  --- a/begin_flushleft_begin_align_S_2__1.tex  +++ b/begin_flushleft_begin_align_S_2__1.tex 
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&= \left< \left[ I - I'\right]^2 \right>\\  &= \left<\left[ I_{signal}+I_{noise} - I'_{signal}-I'_{noise} \right]^2 \right>\\  &= \left< I_{signal}^2\right>\\ I_{signal}^2 + 2I_{signal}I_{noise}\right>\\  &= S_{2(signal)} + S_{2(noise)}  \end{align*}  \end{flushleft}