
Re: how to define and analyze function with multiple parts
Posted:
Apr 20, 2013 5:55 AM


Perhaps you have in mind something like the following (for n = 3)?
u1[{x_,y_,z_}]:=3x4y+z u2[{x_,y_,z_}]:=10x y z
u[{x_, y_, z_}] := Piecewise[{{u1[{x, y, z}], x^2 + y^2 + 3 z^2 <= 1}, {u2[{x, y, z}], x^2 + y^2 + z^3 > 100}}]
On Apr 19, 2013, at 1:17 AM, pjanakir1978@gmail.com wrote:
> 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
 Murray Eisenberg murray@math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower phone 413 5491020 (H) University of Massachusetts 413 5452838 (W) 710 North Pleasant Street fax 413 5451801 Amherst, MA 010039305

