deletions | additions       diff --git a/usepackage_amsmath_usepackage_makeroom_cancel__.tex b/usepackage_amsmath_usepackage_makeroom_cancel__.tex  index 352b2f8..a74e94d 100644  --- a/usepackage_amsmath_usepackage_makeroom_cancel__.tex  +++ b/usepackage_amsmath_usepackage_makeroom_cancel__.tex 
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&= \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> + \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> + \left< \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  &= S_{2(signal)} + S_{2(noise)}  \end{align*}