summaryrefslogtreecommitdiff
diff options
context:
space:
mode:
authorJaron Kent-Dobias <jaron@kent-dobias.com>2021-10-28 09:22:37 +0200
committerJaron Kent-Dobias <jaron@kent-dobias.com>2021-10-28 09:22:37 +0200
commitce86e1a56ab5f6614c17850c34c130694da3f332 (patch)
treea7bf16f44cab537db1f0ff0bb64909d42f66a832
parent641557954eba488630fda8905bfbcfbe3d73bad9 (diff)
downloadpaper-ce86e1a56ab5f6614c17850c34c130694da3f332.tar.gz
paper-ce86e1a56ab5f6614c17850c34c130694da3f332.tar.bz2
paper-ce86e1a56ab5f6614c17850c34c130694da3f332.zip
Fixed references in text to data.
-rw-r--r--ising_scaling.tex4
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