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  • $\begingroup$ @"Mr.Wizard" Thank you. That explanation is crystal clear as to why I was experiencing the result that confused me. Thank you also for the tip on using RuleDelayed. $\endgroup$ Commented Jul 29, 2015 at 13:48
  • $\begingroup$ @"Mr.Wizard" The PatternTest to make Z non numeric was very nice. I have always skipped over reading about Composition. I viewed it as being esoteric and impractical. Nice to see it working in a real world example. I hope to add Composition to my limited Mathematica tool box. $\endgroup$ Commented Jul 29, 2015 at 14:10
  • $\begingroup$ @JackLaVigne Glad I could help! By the way beware of (1699) -- the precedence of the ? operator is highly unusual. (For more about operator precedence perhaps read (30425).) $\endgroup$ Commented Jul 29, 2015 at 17:35