Odd phenomenon

*To*: mathgroup at smc.vnet.net*Subject*: [mg109480] Odd phenomenon*From*: "S. B. Gray" <stevebg at ROADRUNNER.COM>*Date*: Thu, 29 Apr 2010 02:52:53 -0400 (EDT)*Reply-to*: stevebg at ROADRUNNER.COM

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

**Follow-Ups**:**Re: Odd phenomenon***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>