Symmetric difference of sets



If there is a standard definition for the n-ary symmetric difference, could
you point us to it?
Is it associative and commutative?

              -s

On Mon, Oct 5, 2009 at 2:13 PM, Julio <madth3 at gmail.com> wrote:

> I apologize if this has been asked before but I could not find any
> reference.
>
> Why is symmdifference defined as the set of elements that appear in only
> one set?
>
> This definition is not compatible with the standard definition when applied
> to three or more sets. Particularly, in Maxima
>     symmdifference(a,symmdifference(b,c))
> is not always the same as
>    symmdifference(a,b,c)
>
> --
> --------------------------------------------------------------------
> Julio Cesar Aguilar Cabrera
>
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