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Re: Bump Function
*To*: mathgroup at smc.vnet.net
*Subject*: [mg31982] Re: [mg31967] Bump Function
*From*: BobHanlon at aol.com
*Date*: Fri, 14 Dec 2001 16:53:15 -0500 (EST)
*Sender*: owner-wri-mathgroup at wolfram.com
In a message dated 12/14/01 5:32:55 AM, ajitkumar at math.mu.ac.in writes:
>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
>
You did not define your function for 1 <= x^2+y^2<=2. Let it be one there.
Clear[f];
f[x_, y_] := x^2 + y^2 /; x^2 + y^2 < 1;
f[x_, y_] := 2 /; x^2 + y^2 > 2;
f[x_, y_] := 1;
Plot3D[f[x, y], {x, -2, 2}, {y, -2, 2},
PlotPoints -> 50];
Clear[f];
f[x_, y_] := (x^2+y^2)+
UnitStep[x^2+y^2-1]*(1-(x^2+y^2)) +
UnitStep[x^2+y^2-2];
Plot3D[f[x, y], {x, -2, 2}, {y, -2, 2},
PlotPoints -> 50];
Bob Hanlon
Chantilly, VA USA
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