Re: how to define and analyze function with multiple

• To: mathgroup at smc.vnet.net
• Subject: [mg130557] Re: how to define and analyze function with multiple
• From: Tomas Garza <tgarza10 at msn.com>
• Date: Sat, 20 Apr 2013 05:47:30 -0400 (EDT)
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• References: <20130419051727.00BE06B14@smc.vnet.net>

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 at gmail.com
> Subject: how to define and analyze function with multiple parts
> To: mathgroup at 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
>

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