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Summary
Code Maple
L'animation a été générée en utilisant Maple 11, avec le code suivant :
restart;
with(plots);
B := (a1, a2, a3) -> (GAMMA(1.0*a1) * GAMMA(1.0*a2) * GAMMA(1.0*a3)) / GAMMA(1.0*a1+1.0*a2+1.0*a3);
f := (x1, x2, a1, a2, a3) -> (x1^(a1-1)) * (x2^(a2-1)) * ( (1-x1-x2)^(a3-1)) /B(a1,a2,a3) ;
plotsetup(gif, plotoutput=`LogDirichletDensity-alpha_0.3_to_alpha_2.0.gif`);
animate ( plot3d, [eval(log(f(x1, x2, a1, a2, a3)), {a1=a, a2=a, a3=a}), x1=0.00..1, x2=0.00..1,
axes=BOXED, grid=[25,25],gridstyle=triangular,orientation=[-135, 60], shading=zhue, contours=20, style=surfacecontour, view=-3..2 ],
a=0.3..2.0, frames=100);
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Date/Time Thumbnail Dimensions User Comment
current 15:52, 20 April 2010 512 × 512 (3.35 MB) wikimediacommons>Love Sun and Dreams {{Information |Description={{en|1=We illustrate the log of the density function: <math>\log (f(x_1,\dots, x_{K-1}; \alpha_1,\dots, \alpha_K)) = \log\left(\frac{1}{\mathrm{B}(\alpha)} \prod_{i=1}^K x_i^{\alpha_i - 1}\right) = + \sum_{i=1}^K \alpha_i \log
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