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Mathematica: plot and evaluate function of 2 variables 
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#1
Oct1210, 10:37 AM

P: 15

Hi all,
I am trying to evaluate and plot a function of two variable in mathematica. Function:
In mathematica I am unsure how to evaluate and plot a function of two variables in spherical coordinates. I attempted to use "SphericalPlot3D" to plot R as a function of \theta and \phi, and "Manipulate" to add a slider to adjust the time but am having no luck. Any help would be APPRECIATED!!! 


#2
Oct1210, 03:30 PM

P: 1,043

Is this something like what you are trying to do?
a[t_] := 2t; b[t_] := t^2; m = 1;(* <  Substitute your functions here *) R[t_, n_, m_, theta_, phi_] := a[t] + b[t]*SphericalHarmonicY[n, m, theta, phi] Manipulate[SphericalPlot3D[R[t, n, m, theta, phi], {theta, 0, 2Pi}, {phi, 0, Pi}], {t, 0, 1}, {n, 0, 4, 1}] Can you perhaps adapt this for what you need? 


#3
Oct1210, 03:39 PM

P: 15

As usual, I suspect that I am missing just one small detail. 


#4
Oct1210, 09:16 PM

P: 1,043

Mathematica: plot and evaluate function of 2 variables
If your modification doesn't work then divide the problem into simpler tasks.
Confirm that SphericalPlot3D[SphericalHarmonicY[1, 2, theta, phi]], {theta, 0, 2Pi}, {phi, 0, Pi}] plot matches http://mathworld.wolfram.com/SphericalHarmonic.html and substitute a few other values for the 1 and 2. Then try a simpler Manipulate example using a Real and Integer value from the Help and confirm that works. That might uncover some of your missing details. 


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