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Odd phenomenon


    I did a symbolic calculation in which x,y,z were treated exactly the 
same. The result was three long, messy expressions, but the result for x 
was much simpler than those for y and z, even after FullSimplify. I then 
changed the expression for x into one for y (z->w,y->z,x->y,w->x)
and the expression for x into one for z (x->w, y->x, z->y, w->z).
These manually created y,z expressions are identical to the original y,z 
ones according to FullSimplify[new - old] and they give the same numeric 
results.

   Is this surprising? Obviously FullSimplify is not perfect but to get 
around it was a fair amount of work.

Steve Gray


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