[R] bug?

[Patrick Jahn]

Dear All,
if you generate a sequence with small latitude like:

x<-seq(0,1,0.005)

and you ask for all points of this lattice how many points are in a neighbourhood with radius 0.01 
of each point:

v <- rep( 0 , length( x ) ) ; 
for (i in 1:length(x) )
     {  v[i] <- length(x[ abs(x-x[i]) < 0.01 ] ) ;   };

then the answer should be:  v = (2, 3, 3, 3, 3,.......,3, 3, 3, 3, 2), because every point instead 
of the borders has 3 points in a 0.01-neighbourhood.

but v contains also many 4 and also 5:

> v
  [1] 2 4 3 4 4 3 4 4 3 4 4 3 4 4 4 4 5 4 4 5 4 4 5 4 4 4 3 4 4 4 4 3 3 3 4 4 4
 [38] 4 3 3 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3
 [75] 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3
[112] 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3
[149] 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
[186] 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 2

Could anyone explain this fact and help me to compute exactly on general data.

Thank you very much,
Patrick Jahn