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    Properties of the Distance Function

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    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)

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    Solution Summary

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