[math-fun] average angle between 2 4D vectors?
Pick 2 random vectors in 4D. What is the angle between them, in maximum likelihood ?
Picking random vectors is problematic -- what's the distribution? If we settle on random unit vectors, wlog we can make one of them (0,0,0,1). Then the cosine of the angle between them is the w coordinate of the other. Positive and negative w's are equally likely, and (arccos(w)+arccos(-w))/2 = pi/2 for all -1<=w<=1, so the average is pi/2. On Tue, Oct 27, 2020 at 12:02 PM Henry Baker <hbaker1@pipeline.com> wrote:
Pick 2 random vectors in 4D.
What is the angle between them, in maximum likelihood ?
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
participants (2)
-
Henry Baker -
Tom Duff