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Using the same symbol for different quantities

  • To: mathgroup at
  • Subject: [mg52375] Using the same symbol for different quantities
  • From: Geronimo <kalymereauKILLSP at>
  • Date: Thu, 25 Nov 2004 05:49:47 -0500 (EST)
  • Sender: owner-wri-mathgroup at

Hi Group

I would like to define, e.g.,

        y = f[x]
`       z = g[y]

in such a way that when I type y I get f[x] and when I type z I get g[y], 
and not g[f[x]]. For example from

        Cos[y] + Exp[z]

I would like to obtain

        Cos[f[x]] + Exp[g[y]]

In other words, I would like to use the same symbol (y) for two different 
objects depending on whether y is in the lhs or rhs of the affectation. I 
really need affectations rather than rules for y and z.

I could define different contexts for y. Is there a lighter solution ?

Many thanks

La possibilité que le oui et le non, le bien et le mal, soient également 
indifférents à Dieu ne peut être concevable pour des têtes faites comme les 
nôtres, car enfin Dieu doit bien servir à quelque chose.
[Jose Saramago]

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