🚀 go-pugleaf

In article <1992Nov20.072501.16998@nsisrv.gsfc.nasa.gov>, fgg@gemini.gsfc.nasa.gov (Frank G. Gomez) writes:
|> Two small problems:
|> 
|> Given two random points within a sphere of unit radius, what is
|> the expected straight-line distance between them ?
|> 

I only know basic things about theory of probability, so I am going
to try to guess the answer.

Given a random point within a sphere (such that the probability that the
point is in a volume V is 3V/(4 pi)), the expected straight -line distance
between the point and the centre of the sphere is 0.75 (I mean, the average
of a continuous distribution with density 3x^2, 0<x<1).   If we add another 
point, the expected relative position of that point with respect to the former
is that when both points are on the same diameter (this is because of the symmetry).
so I would say that the answer might be  2*0.75 = 1.5.  (but I am not sure).


|> Given a square sheet of paper, make three folds (nothing fancy, just a normal
|> fold).  At the end you will get a polygon.  What is the maximum number of sides
|> this polygon can have ?  Can you generalize to n folds (assuming the paper has
|> no thickness) ?
|>

I am going to guess again.   How about 4+5*n  where "n" is the number of times you
fold the square sheet?

					Nairo Aparicio