From 01d47c182ce0c1ee01acaf79043a9ce40ecead56 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Tue, 28 Nov 2023 17:23:20 +0100 Subject: Added not about complicated saddle formula. --- 2-point.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/2-point.tex b/2-point.tex index ce2d1bc..860a6c7 100644 --- a/2-point.tex +++ b/2-point.tex @@ -642,7 +642,7 @@ $r^{11}_\mathrm d$, $r^{11}_0$, and $q^{11}_0$, is It is possible to further extremize this expression over all the other variables but $q_0^{11}$, for which the saddle point conditions have a unique solution. However, the resulting expression is quite complicated and provides -no insight. In practice, the complexity can be calculated in two ways. First, +no insight. In fact, the numeric root-finding problem is more stable preserving these parameters, rather than analytically eliminating them. In practice, the complexity can be calculated in two ways. First, the extremal problem can be done numerically, initializing from $q=0$ where the problem reduces to that of the single-point complexity of points with energy $E_1$ and stability $\mu_1$, and then taking small steps in $q$ or other -- cgit v1.2.3-70-g09d2