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author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2017-10-02 16:34:05 -0400 |
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committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2017-10-02 16:34:05 -0400 |
commit | 883368ecef475949b961955f5857ff7ab3944d0d (patch) | |
tree | 500a02ad2698b2aa1a61a74c91ee51c32e711c60 /essential-ising.tex | |
parent | 01f16c5f0288bec93c6c2a97780dc8e1e0723cde (diff) | |
download | paper-883368ecef475949b961955f5857ff7ab3944d0d.tar.gz paper-883368ecef475949b961955f5857ff7ab3944d0d.tar.bz2 paper-883368ecef475949b961955f5857ff7ab3944d0d.zip |
changed f to g in some placesarXiv-v2
Diffstat (limited to 'essential-ising.tex')
-rw-r--r-- | essential-ising.tex | 6 |
1 files 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} |