From 883368ecef475949b961955f5857ff7ab3944d0d Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Mon, 2 Oct 2017 16:34:05 -0400 Subject: changed f to g in some places --- essential-ising.tex | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/essential-ising.tex b/essential-ising.tex index 33f6fe9..e125229 100644 --- a/essential-ising.tex +++ b/essential-ising.tex @@ -373,11 +373,11 @@ the abrupt transitions at $h=\pm0$, $t<0$ is \] This function is analytic in the range $-\theta_\c<\theta<\theta_\c$. In order to correct its low-order behavior to match that expected, we -make use of both the freedom of the coordinate transformation $f$ and an +make use of both the freedom of the coordinate transformation $g$ and an arbitrary analytic additive function $Y$, \begin{align} - f(\theta)=\bigg(1-\frac{\theta^2}{\theta_\c^2}\bigg)\sum_{n=0}^\infty - f_n\theta^{2n+1} + g(\theta)=\bigg(1-\frac{\theta^2}{\theta_\c^2}\bigg)\sum_{n=0}^\infty + g_n\theta^{2n+1} && Y(\theta)=\sum_{n=0}^\infty Y_n\theta^{2n} \end{align} -- cgit v1.2.3-54-g00ecf