Prabhu
Posts:
11
Registered:
10/24/08


Re: how to define and analyze function with multiple parts
Posted:
Apr 20, 2013 5:56 AM


Hi, Thanks to all for the replies. Piecewise is the right option I was looking for.
Prabhu
On Fri, Apr 19, 2013 at 8:49 PM, Tomas Garza <tgarza10@msn.com> wrote:
> 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 > > >

