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Mystifying Scoping of Piecewise Variable?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg116102] Mystifying Scoping of Piecewise Variable?
  • From: Frank Iannarilli <frankeye at cox.net>
  • Date: Wed, 2 Feb 2011 06:08:08 -0500 (EST)
  • Reply-to: comp.soft-sys.math.mathematica at googlegroups.com

Perhaps I'm tired, but this is weird:

Clear[myFunc]

myFunc[y_] = Piecewise[{{x^2, x < 0}, {x, x >= 0}}]
   (Same behavior below for either Set(=) or SetDelayed(:=) )

Plot[myFunc[y], {y, -10, 10}]
  (returns empty plot)

Plot[myFunc[x], {x, -10, 10}]
  (returns "expected" piecewise function plot)

What is the scoping of the Piecewise variable, in this case "x"?  

How can one write a Module that creates and returns a Piecewise function?   The scope of its argument is unclear to me. 

Thanks


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