this is for holding javascript data
Joseph Nofech edited begin_flushleft_begin_align_S_2__.tex
almost 8 years ago
Commit id: f03874bc1a67b64637333c1e7763d622f4d4459d
deletions | additions
diff --git a/begin_flushleft_begin_align_S_2__.tex b/begin_flushleft_begin_align_S_2__.tex
index c77a67a..280aaf5 100644
--- a/begin_flushleft_begin_align_S_2__.tex
+++ b/begin_flushleft_begin_align_S_2__.tex
...
&= \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}^2 \right>\\
&=
\left< I_{signal}^2 - 2I_{signal}I'_{signal} + (I')_{signal}^2 + I_{noise}^2 - 2I_{noise}I'_{noise} + (I')_{noise}^2 \right> + ...
\\ &= S_{2(signal)} + S_{2(noise)}
\end{align*}
\end{flushleft}