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Topic: how to define and analyze function with multiple parts
Replies: 4   Last Post: Apr 20, 2013 5:56 AM

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 Tomas Garza Hernandez Posts: 264 Registered: 4/15/05
Re: how to define and analyze function with multiple
Posted: Apr 20, 2013 5:56 AM

In[1]:= f[x_] := Piecewise[{{x^2, x < 0}, {x, x > 0}}]

In[2]:= NIntegrate[f[x], {x, -1, 1}]

Out[2]= 0.833333
-Tomas

> From: pjanakir1978@gmail.com
> Subject: how to define and analyze function with multiple parts
> To: mathgroup@smc.vnet.net
> Date: Fri, 19 Apr 2013 01:17:26 -0400
>
> 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
>

Date Subject Author
4/20/13 Bob Hanlon
4/20/13 Murray Eisenberg
4/20/13 Tomas Garza Hernandez
4/20/13 Prabhu