deletions | additions       diff --git a/Waveform optimization.tex b/Waveform optimization.tex  index 748ae78..f2c9d23 100644  --- a/Waveform optimization.tex  +++ b/Waveform optimization.tex 
...
substituting into Eq.\ref{eqn:Qem} we find:  $\int_X \sum_i^N [ \sum_t^{T_i} (d_t^i - m(x_t^i))^2 ]P(X|D,\Theta_{k-1}) + \int_X \sum_i^N [ \log(P(x_i^t|\Theta_{k}))]P(X|D,\Theta_{k-1}) \log(P(X|\Theta_{k}))]P(X|D,\Theta_{k-1})  $ Next we want to take the derivative of this expression with respect to the components of $\Theta_{k}$ that defines the waveform and equate it to zero to find its maximum. As the second integral does not depend on the waveform, it can be neglected, as well as any constant multiplicative or additive factors.