Show that Hamming distance is invariant under simultaneous shifts

[florenti]

Please help me ...

to show that the Hamming disatance d(x,y) is invariant to a shift of both x and y i.e

d(x+z, y+z)=d(x,y)

Thanks a lot

flo

 

[Mark44]

Please help me ...

to show that the Hamming disatance d(x,y) is invariant to a shift of both x and y i.e

d(x+z, y+z)=d(x,y)

Thanks a lot

flo

Another poster, Lenti, asked this same question a couple of days ago.