deletions | additions       diff --git a/Additions to SRIF.tex b/Additions to SRIF.tex  index 301a17e..3f1c880 100644  --- a/Additions to SRIF.tex  +++ b/Additions to SRIF.tex 
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p_N\times w_N \end{array} \right)\]   for $\{p_i\}$ , $\{w_i\}$ are the set of penalty functions and penalty weights, respectively, and  \[A'' = -\frac{\partial \vec{R''}}{\partial \vec{x}}\]  The algorithm then progresses as describec described  in section ?, with $\vec{R}$ replaced with $\vec{R}''$ and $A''$ replacing $A$.