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MathGroup Archive 1998

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Piecewise defined functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg12934] Piecewise defined functions
  • From: Edward Neuman <edneuman at siu.edu>
  • Date: Wed, 24 Jun 1998 03:44:51 -0400
  • Organization: SIUC
  • Sender: owner-wri-mathgroup at wolfram.com

I'm working with the piecewise defined functions with a large number of
subintervals. They can be defined using the UnitStep function.
Manipulations
(e.g., plotting, integration, etc.) with a function having a large
number of  the UnitStep factors is often a time consuming job. Is it
possible to force Mathematica to create a sequence of rules like this:

g[x_/;x1 <= x <x2] := Expr1
g[x_/;x2 <= x <x3] := Expr2
             ....

where the lists {x1, x2, ... } and {Expr1, Expr2, ... } are supplied by
a user? Any help would be greatly appreciated.

Regards,
Edward Neuman






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