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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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