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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} |