number
of
points
N
10
radius
of
the
ball
R
10
number
of
dimensions
d
2
n
1
0
2
4
6
8
10
r
0
.
5
1
.
0
1
.
5
2
.
0
pdf
of
the
distance
to
the
n
th
nearest
neighbor
from
the
origin
mean
=
2
.
7026
variance
=
1
.
78685