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| -rw-r--r-- | ising_scaling.tex | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/ising_scaling.tex b/ising_scaling.tex index 919049e..38ffa5f 100644 --- a/ising_scaling.tex +++ b/ising_scaling.tex @@ -651,7 +651,7 @@ that the codimension of the fit is constant. We performed this procedure starting at $n=2$, or matching the scaling function at the low and high temperature zero field points to quadratic order, -through $n=7$. The resulting fit coefficients can be found in Table +through $n=6$. The resulting fit coefficients can be found in Table \ref{tab:data} without any sort of uncertainty, which is difficult to quantify directly due to the truncation of series. However, precise results exist for the value of the scaling function at the critical isotherm, or equivalently for @@ -867,7 +867,7 @@ error in the function and its first several derivatives appears to trend towards zero exponentially in the polynomial order $n$. Even at $n=2$, where only six unknown parameters have been fit, the results are -accurate to within $2\times10^{-3}$. This approximation for the scaling +accurate to within $3\times10^{-4}$. This approximation for the scaling functions also captures the singularities at the high- and low-temperature zero-field points well. A direct comparison between the magnitudes of the series coefficients known numerically and those given by the approximate |