Re: how to define and analyze function with multiple parts
- To: mathgroup at smc.vnet.net
- Subject: [mg130547] Re: how to define and analyze function with multiple parts
- From: Murray Eisenberg <murray at math.umass.edu>
- Date: Sat, 20 Apr 2013 05:44:09 -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>
Perhaps you have in mind something like the following (for n = 3)? u1[{x_,y_,z_}]:=3x-4y+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 at 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 at math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower phone 413 549-1020 (H) University of Massachusetts 413 545-2838 (W) 710 North Pleasant Street fax 413 545-1801 Amherst, MA 01003-9305
- References:
- how to define and analyze function with multiple parts
- From: pjanakir1978@gmail.com
- how to define and analyze function with multiple parts