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MathGroup Archive 2013

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how to define and analyze function with multiple parts

  • To: mathgroup at smc.vnet.net
  • Subject: [mg130534] how to define and analyze function with multiple parts
  • From: pjanakir1978 at gmail.com
  • Date: Fri, 19 Apr 2013 01:17:26 -0400 (EDT)
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Hi, I have a function on the plane that has 2 different formulation for 2 different regions. Let x = (x1, ..., xn). I want to define it as

U(x) = U_1(x) if x is in region 1
       = U_2(x) if x is in region 2

Then I want to analyze such a defined function, like find its max, etc, using NMaximize, or put in some other expressions in place of x, to see behavior of U.

Essentially, how does one define a multipart function, so that we can analyze it in the same way we may analyze a single part function or polynomial?

Thanks.

Prabhu   



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