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| -rw-r--r-- | frsb_kac-rice.tex | 14 |
1 files changed, 2 insertions, 12 deletions
diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex index 3d06e20..0fa768a 100644 --- a/frsb_kac-rice.tex +++ b/frsb_kac-rice.tex @@ -279,18 +279,8 @@ and +\frac12\int_0^1dq\,\left[ \hat\epsilon^2\lambda(q)f''(q) +\frac1{\lambda(q)+R_d/\hat\epsilon} - \right]\\ - -\mu R_d-\log\left(\frac1{2f''(1)}\left(\mu\pm\sqrt{\mu^2-4f''(1)}\right)\right)+\frac12\left(1+\frac\mu{2f''(1)}\left(\mu\pm\sqrt{\mu^2-4f''(1)}\right)\right) + \right]-\mu R_d+\frac12R_d^2f''(1)+\log R_d\\ + +\operatorname{Re}\left\{\frac12\left(1+\frac\mu{2f''(1)}\left(\mu\pm\sqrt{\mu^2-4f''(1)}\right)\right)-\log\left(\frac1{2f''(1)}\left(\mu\pm\sqrt{\mu^2-4f''(1)}\right)\right)\right\} \end{align*} -All that changes is now -\[ - R_d=\frac12\left( - (1-q^*)\hat\epsilon\pm\sqrt{ - (1-q^*)\left( - (1-q^*)\hat\epsilon^2+8/[f'(1)-f'(q^*) - 2\mu/\hat\epsilon] - \right) - } - \right) -\] \end{document} |