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-rw-r--r-- | frsb_kac-rice.tex | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex index e53a522..ab5d456 100644 --- a/frsb_kac-rice.tex +++ b/frsb_kac-rice.tex @@ -591,8 +591,8 @@ When $\mu^*<\mu_m$ and the critical points are saddles, it implies \end{equation} It is often useful to have the extremal conditions in a form without matrix -inverses, so that the saddle conditions can be expressed using -\eqref{eq:replica.prod} alone. By simple manipulations, the matrix equations +inverses, so that the saddle conditions can be expressed using products +alone. By simple manipulations, the matrix equations can be written as \begin{align} 0&=\left[\hat\beta^2f'(C)+(2\hat\beta R-D)\odot f''(C)+R\odot R\odot f'''(C)+\hat\mu I\right]C+f'(C)D \\ |