# Properties of the Distance Function

Coding of Binary Information and Error Detection (V)

Properties of the Distance Function

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.

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#### Solution Summary

It is proven the properties of the distance function. The solution is detailed and well presented.

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