Hello,

I would like to know more about how to use the "apply" family and have 
attempted to convert nested "for" loops in example code from Contributed 
Documentation ("The Friendly Beginners' R Courseā€ by Toby Marthews (ZIP, 
2007-03-01)") to an "apply" function(s).  The relevant code is:

distances=c(51,65,175,196,197,125,10,56)        #distances of 8 houses from the 
town centre in m
bearings=c(10,8,210,25,74,128,235,335)  #bearings of the houses in degrees

xpos=distances*sin(bearings*pi/180)             #in sin and cos the argument 
MUST be in radians
ypos=distances*cos(bearings*pi/180)             

numpoints=length(distances)
nnd=rep(sqrt(2*400*400),times=numpoints)        #start with the maximum 
possible distance
for (i in 1:numpoints) {        
 for (j in 1:numpoints) {
  if (i!=j) {           
   diffx=abs(xpos[i]-xpos[j])
   diffy=abs(ypos[i]-ypos[j])
   nd=sqrt((diffx^2)+(diffy^2))
   if (nd
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