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)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-newout@smc.vnet.net*Delivered-to*: mathgroup-newsend@smc.vnet.net*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 >

**References**:**how to define and analyze function with multiple parts***From:*pjanakir1978@gmail.com