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@@ -0,0 +1,47 @@
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+\documentclass{article}
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+\usepackage[pdftex,active,tightpage]{preview}
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+\setlength\PreviewBorder{2mm}
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+\usepackage{pgfplots}
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+\usepgfplotslibrary{patchplots}
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+
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+\begin{document}
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+\begin{preview}
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+\pgfplotsset{
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+ colormap={whitered}{
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+ color(0cm)=(white);
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+ color(1cm)=(orange!75!red)
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+ }
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+}
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+\begin{tikzpicture}
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+ \begin{axis}[
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+ colormap name=whitered,
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+ width=15cm,
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+ view={45}{45},
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+ enlargelimits=false,
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+ grid=major,
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+ domain=-90:90,
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+ y domain=-90:90,
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+ % ymode=log,
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+ samples=46, %57 : TeX capacity exceeded, sorry [main memory size=3000000].
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+ % see also http://tex.stackexchange.com/a/7954/5645
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+ % zlabel=f,
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+ %colorbar,
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+ %colorbar style={
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+ % at={(-0.1,0)},
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+ % anchor=south west,
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+ % height=0.25*\pgfkeysvalueof{/pgfplots/parent axis height},
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+ % title={$f(x,y)$}
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+ %}
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+ ]
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+ %\addplot3[patch,patch type=bilinear,mesh,black] {0};
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+ \addplot3[blue,/pgfplots/quiver,
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+ quiver/u=4 * sin(x) * cos(x) * (cos(x)^2 + cos(y)^2),
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+ quiver/v=4 * sin(y) * cos(y) * (cos(x)^2 + cos(y)^2),
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+ quiver/w=0,
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+ quiver/scale arrows=4,
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+ -stealth,samples=15] {-4};
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+ \addplot3[surf,opacity=0.9] {-(cos(x)^2 + cos(y)^2)^2};
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+ \end{axis}
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+\end{tikzpicture}
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+\end{preview}
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+\end{document}
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