Properties of the Distance Function:
Let x,y and z be elements of B^m. Then prove that
(a) del (x,y) = del (y,x)
(b) del (x,y) is greater than or equal to 0
(c) del (x,y) =0 if and only if x = y
(d) del (x,y) is less than or equal to del (x,z) + del (z,x)
The fully formatted problem is in the attached file.© BrainMass Inc. brainmass.com October 10, 2019, 3:24 am ad1c9bdddf
It is proven the properties of the distance function. The solution is detailed and well presented.