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Re: problems with the definition of a function

• To: mathgroup at smc.vnet.net
• Subject: [mg36656] Re: problems with the definition of a function
• From: "PSi" <no at eee.gr>
• Date: Wed, 18 Sep 2002 02:09:32 -0400 (EDT)
• References: <am3n85$6tk$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

"fabio bagarello" <bagarell at unipa.it> wrote in message
news:am3n85$6tk$1 at smc.vnet.net...
> Hi there!!
> I have quite an easy and annoying problem with mathematica:
> I need to define a function f(x,y) which takes some values for
> x=0,2pi,4pi (indepently of y) and has a different expression for all
> the other values of y. This is easily done for one-dimensional
> functions but I am in serious troubles for my two-dimensional problem:
> any suggestion?
> Thanks a lot,
> Fabio
>
f[0, y_] := 5
f[2 Pi, y_] := 7
f[4 Pi, y_] := -3
f[x_ /; x < 0, y_] := x y
f[x_ /; 0 < x < 2 Pi, y_] := x + y
f[x_ /; 2Pi < x < 4 Pi, y_] := x - y
f[x_ /; 4Pi < x, y_] := 2x y