how to define and analyze function with multiple parts
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- 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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