this is for holding javascript data
Joseph Nofech edited usepackage_amsmath_usepackage_makeroom_cancel__.tex
almost 8 years ago
Commit id: ca33cc785faace8860f83e0a2a47ddd5bbab3b9c
deletions | additions
diff --git a/usepackage_amsmath_usepackage_makeroom_cancel__.tex b/usepackage_amsmath_usepackage_makeroom_cancel__.tex
index a74e94d..1abb4be 100644
--- a/usepackage_amsmath_usepackage_makeroom_cancel__.tex
+++ b/usepackage_amsmath_usepackage_makeroom_cancel__.tex
...
&= \left< I_{signal}^2 - 2I_{signal}I'_{signal} + (I')_{signal}^2 + I_{noise}^2 - 2I_{noise}I'_{noise} + (I')_{noise}^2 \right> + \left< 2I_{signal}I_{noise} - 2I_{signal}I'_{noise} - 2I_{noise}I'_{signal} - 2I'_{signal}I'_{noise} \right> \\
&= \left< \left[ I_{signal} - I'_{signal} \right]^2 + \left[ I_{noise}^2 - I'_{noise} \right]^2 \right> + \left< 2I_{signal}I_{noise} - 2I_{signal}I'_{noise} - 2I_{noise}I'_{signal} - 2I'_{signal}I'_{noise} \right> \\
&= \left< \left[ I_{signal} - I'_{signal} \right]^2 \right> + \sout{\left< \left[ I_{noise}^2 - I'_{noise} \right]^2 \right> + \left< 2I_{signal}I_{noise} - 2I_{signal}I'_{noise} - 2I_{noise}I'_{signal} - 2I'_{signal}I'_{noise} \right> }\\
&=
egg \sout{egg}
&= S_{2(signal)} + S_{2(noise)}
\end{align*}
\end{flushleft}