我想要一个平滑的插值，到目前为止我使用
\documentclass[letter,11pt,twoside]{article}
\usepackage{tikz}
\usepackage{pgfplots}
\usepackage{pgfplotstable}
\usepackage{stmaryrd}
\usepackage{array,booktabs}
\usepackage{placeins}
\pgfplotsset{
compat=newest,
xlabel near ticks,
ylabel near ticks,
myplot/.style={smooth,tension=0.5,mark=none,very thick}
}
\begin{document}
\begin{figure}
{%
\begin{tikzpicture}[
labelnode/.style={font=\footnotesize, above},%
labelline/.style={stealth-stealth,shorten >=0.1pt, shorten <=0.5pt}%
]%
\begin{axis}[%
width=0.95\textwidth,height=0.4\textheight,%
axis x line=center,%
xmin=0,%
xmax=1,%
xtick={0.115},%
xticklabels={{H}},%
axis y line=left,%
ymin=-115,%
ymax=115,%
ytick={0},%
yticklabels={{0}},
ylabel={$w$},%
xlabel={$\beta$},%
label style={at={(axis description cs:1,-0.02)},anchor=north},
y label style={at={(axis description cs:-0.02,0.95)},rotate=-90,anchor=south},
%grid=major,
]%
\addplot+[color=black,myplot, thick]
coordinates {%
(0, 80)%
(0.1, 70)%
(0.2, 50)%
(0.3, 0)%
(0.5, -60)%
(0.6, -10)%
(0.65, -2)%
(0.7, 0)%
}%
;%
\end{axis}%
%
\end{tikzpicture}%
}
\end{figure}
\end{document}
重要的是，该函数似乎趋近于 0 至 0.7。
当我使用 mathematica 和 Splines 方法执行此操作时，它看起来非常漂亮，但在 latex 中却不是这样 :-(
Mathematica 代码：
F[x_] = Interpolation[{{0, 80}, {0.1, 72}, {0.2, 50}, {0.3,
0}, {0.5, -60}, {0.6, -10}, {0.65, -2}, {0.7, 0}}, x,
Method -> "Spline"]
是否有一种使用乳胶进行插值的好方法，或者我可以以某种方式将数学函数“绘制”到乳胶中吗？
我想将插值函数（通过 mathematica 或 latex）包含到 latex 文档中。
答案1
我并不是说这是最好的方法，但至少是其中一种方法。我从你的 Mathematica 命令开始
F[x_] = Interpolation[{{0, 80}, {0.1, 72}, {0.2, 50}, {0.3,
0}, {0.5, -60}, {0.6, -10}, {0.65, -2}, {0.7, 0}}, x,
Method -> "Spline"]
并使用
Chop[Map[{#, F[#]} &, Table[x, {x, 0, 0.7, 0.01}]]] // InputForm
将其转换为列表。在此列表中，我替换了{和(以},获得)可以使用 绘制的列表pgfplots。结果如下：
\documentclass[letter,11pt,twoside]{article}
\usepackage{pgfplots}
\pgfplotsset{compat=1.16}
\usepackage{pgfplotstable}
\usepackage{stmaryrd}
\usepackage{array,booktabs}
\usepackage{placeins}
\pgfplotsset{
compat=newest,
xlabel near ticks,
ylabel near ticks,
myplot/.style={smooth,tension=0.5,mark=none,very thick}
}
\begin{document}
\begin{figure}
{%
\begin{tikzpicture}[
labelnode/.style={font=\footnotesize, above},%
labelline/.style={stealth-stealth,shorten >=0.1pt, shorten <=0.5pt}%
]%
\begin{axis}[%
width=0.95\textwidth,height=0.4\textheight,%
axis x line=center,%
xmin=0,%
xmax=1,%
xtick={0.115},%
xticklabels={{H}},%
axis y line=left,%
ymin=-115,%
ymax=115,%
ytick={0},%
yticklabels={{0}},
ylabel={$w$},%
xlabel={$\beta$},%
label style={at={(axis description cs:1,-0.02)},anchor=north},
y label style={at={(axis description cs:-0.02,0.95)},rotate=-90,anchor=south},
%grid=major,
]%
\addplot+[color=black,myplot, thick]
coordinates {%
(0,80.) (0.01,79.21772794339859) (0.02,78.4888049573029)
(0.03,77.79174781165672) (0.04,77.10507327640387) (0.05,76.40729812148817)
(0.06,75.67693911685338) (0.07,74.89251303244338) (0.08,74.03253663820195)
(0.09,73.07552670407289) (0.1,72.) (0.11,70.78447329592713)
(0.12,69.40746336179808) (0.13,67.84748696755663) (0.14,66.08306088314662)
(0.15,64.09270187851185) (0.16,61.85492672359615) (0.17,59.348252188343274)
(0.18,56.5511950426971) (0.19,53.442272056601404) (0.2,49.99999999999999)
(0.21,46.2103788728929) (0.22,42.089341595504834) (0.23,37.660304318116786)
(0.24,32.946683191009676) (0.25,27.97189436446446) (0.26,22.759353988762083)
(0.27,17.332478214183503) (0.28,11.714683191009652) (0.29,5.929385069521529)
(0.3,0) (0.31,-6.0500558672739455) (0.32,-12.197366382019357)
(0.33,-18.418515393955303) (0.34,-24.686604166150378) (0.35000000000000003,
-30.934248891861984) (0.36,-37.06794636446921) (0.37,-42.99375805402)
(0.38,-48.617745430562145) (0.39,-53.84596996414349) (0.4,-58.584493124811885)
(0.41000000000000003, -62.73937638261518) (0.42,-66.2166812076012)
(0.43,-68.9224690698178) (0.44,-70.76280143931285) (0.45,-71.64373978613416)
(0.46,-71.47134558032961) (0.47000000000000003, -70.15331061931522)
(0.48,-67.69514634259843) (0.49,-64.25398463492846) (0.5,-60.)
(0.51,-55.10336694150778) (0.52,-49.7342599631465) (0.53,-44.06285356861086)
(0.54,-38.259322261595585) (0.55,-32.49384054579538) (0.56,-26.93658292490495)
(0.5700000000000001, -21.757723902619016) (0.58,-17.127437982632326)
(0.59,-13.203529526922042) (0.6,-10.) (0.61,-7.43807480349707)
(0.62,-5.437433071329426) (0.63,-3.917753937413247)
(0.64,-2.7987165356647132) (0.65,-1.9999999999999998)
(0.66,-1.441283464335287) (0.67,-1.0422460625867518)
(0.68,-0.7225669286705727) (0.6900000000000001, -0.40192519650292763)
(0.7000000000000001,0)%
}%
;%
\end{axis}%
%
\end{tikzpicture}%
}
\end{figure}
\end{document}
