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Re: Plotting a x,y,z function
*To*: mathgroup at smc.vnet.net
*Subject*: [mg98706] Re: Plotting a x,y,z function
*From*: Bill Rowe <readnews at sbcglobal.net>
*Date*: Thu, 16 Apr 2009 04:18:41 -0400 (EDT)
On 4/15/09 at 4:59 AM, raeanne.napoleon at gmail.com (chem_chick) wrote:
>I needed help plotting the following function:
>f[x_,y_,z_] = (x^2+y^2+z^2) e^-(r^2/2)
>ContourPlot3D[(x^2 + y^2 - z^2) Exp[-r^2/2], {x, -10, 10}, {y, -10,
>10}, {z, -10, 10}]
>does not work because it doesn't understand what r (radius)
>is....what is the keyword/whatever for radius?
There is none.
>Or do I have to define r in terms of x,y,z somehow?!
Yes.
>Help with syntax will be great!
Assuming standard cartesian coordinates, then r^2 should be
x^2+y^2+z^2 and the following code will give you the desired graphic
ContourPlot3D[(x^2 + y^2 - z^2) Exp[-(x^2 + y^2 - z^2)/2], {x, -10,
10}, {y, -10, 10}, {z, -10, 10}]
Or, the function you wrote when corrected as folllows:
f[x_,y_,z_] = (x^2+y^2+z^2) E^-((x^2 + y^2 - z^2)/2)
can be used to create the graphic using
ContourPlot3D[f[x,y,z], {x, -10,
10}, {y, -10, 10}, {z, -10, 10}]
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