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MathGroup Archive 2001

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RE: Bump Function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg31978] RE: [mg31967] Bump Function
  • From: "tgarza01 at prodigy.net.mx" <tgarza01 at prodigy.net.mx>
  • Date: Fri, 14 Dec 2001 16:53:08 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

You have to slightly modify your conditions, so as not to leave holes in the range of definition. Try

In[1]:=
f[x_, y_] := x^2 + y^2 /; 
    x^2 + y^2 < 1;
 f[x_, y_] := 2 /; x^2 + y^2 >= 1;

In[2]:=
Plot3D[f[x, y], {x, -3, 3}, 
   {y, -3, 3}, PlotPoints -> 
    100];

Tomas Garza
Mexico City
 
Original Message:
-----------------
From: Ajitkumar ajitkumar at math.mu.ac.in
To: mathgroup at smc.vnet.net
Subject: [mg31978] [mg31967] Bump Function


Hi,

Could  somebody tell me how to plot the graph of bump functions. For
example, if I want to draw the graph of the function say,

f(x,y)	= x^2+y^2 for  x^2+y^2<1 
	= 2  for x^2+y^2 >2


Thanks 
Ajit Kumar      
Dept of Maths             
University of Mumbai
Vidyanagari, Kalina 
Mumbai 400 098 	
India 	
Phone No. +91 652 6683
Email- ajitkumar at math.mu.ac.in
       ajit_kumara at hotmail.com
 http://math.mu.ac.in/faculty/scholars/ajit.html   


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