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| author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2022-07-13 13:20:08 +0200 |
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| committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2022-07-13 13:20:08 +0200 |
| commit | 641daf87566afc0f1d06fb7f1f61d6256f7f1112 (patch) | |
| tree | e289d2b92ea4d03bb949e326a2782ff0c2834dc6 | |
| parent | 44441d3e9cf0f0d20bc7814004a6234a708753fa (diff) | |
| download | PRE_107_064111-641daf87566afc0f1d06fb7f1f61d6256f7f1112.tar.gz PRE_107_064111-641daf87566afc0f1d06fb7f1f61d6256f7f1112.tar.bz2 PRE_107_064111-641daf87566afc0f1d06fb7f1f61d6256f7f1112.zip | |
Massasing the text.
| -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 \\ |