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Re: Bump Function

• To: mathgroup at smc.vnet.net
• Subject: [mg31986] Re: Bump Function
• From: atelesforos at hotmail.com (Orestis Vantzos)
• Date: Sat, 15 Dec 2001 01:30:03 -0500 (EST)
• References: <9vchll$3mm$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

> f(x,y)	= x^2+y^2 for  x^2+y^2<1 
> 	= 2  for x^2+y^2 >2
You have a gap between 1 and 2 where the function is not defined.
Hence you can not draw it there!
I will assume this is a typo, and let's say you want to define this
function:
f(x,y) = x^2+y^2 for x^2+y^2<1
and f(x,y) = 1 for x^2+y^2>=1
You can use patterns with conditions to translate literaly into
Mathematica:
f[x_,y_]/;x^2+y^2<1 := x^2+y^2
f[x_,y_]/;x^2+y^2>=1 := 1
Now you can plot f, just like any other function.
Orestis