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Where does the parity come from?
Posted:
Oct 2, 2008 2:40 PM


I know that the parity of a permutation is the parity of the number of transpositions wich compose the permutation, i. e.,
parity= 1, if the number of transpositions is even parity= 1, if the number of transpositions is odd
The question here is: Is there a particular reason to define parity in {1,1}? Why not to use any other set, say {0,1} or {x,y} for x=y, etc.?



