Hi, Carl Witthoft

yes, it looks like a mathematical question. I will try based on your
suggestion to calculate the volume of the intersection. But I still want to
know whether there are some functions in R which can calculate the volume of
an ellipsoid(area for p=2, hypervolume for p>3) containing X, just like the
"convhulln" function in "geometry" package which can calculate the volume of
convex hull containing X. 



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