this is for holding javascript data
Joseph Nofech edited begin_flushleft_begin_align_S_2__1.tex
almost 8 years ago
Commit id: 7a3f7b9eab31d0f498fb569444e2f769ae967181
deletions | additions
diff --git a/begin_flushleft_begin_align_S_2__1.tex b/begin_flushleft_begin_align_S_2__1.tex
index fc512ef..280aaf5 100644
--- a/begin_flushleft_begin_align_S_2__1.tex
+++ b/begin_flushleft_begin_align_S_2__1.tex
...
&= \left< \left[ I - I'\right]^2 \right>\\
&= \left<\left[ I_{signal}+I_{noise} - I'_{signal}-I'_{noise} \right]^2 \right>\\
&= \left< I_{signal}^2 + 2I_{signal}I_{noise} - 2I_{signal}I'_{signal} - 2I_{signal}I'_{noise} + I_{noise}^2 - 2I_{noise}I'_{signal} - 2I_{noise}I'_{noise} + (I')_{signal}^2+2I'_{signal}I'_{noise} +
I'_{noise} (I')_{noise}^2 \right>\\
&= S_{2(signal)} + S_{2(noise)}
\end{align*}
\end{flushleft}