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spherical_harmonic

spherical_harmonic(1,...

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spherical_harmonic

spherical_harmonic(1,...

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spherical_harmonic

eq1: spherical_harmon...

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spherical_harmonic

spherical_harmonic(1,...

Calculate

spherical_harmonic

spherical_harmonic(1,...

Calculate

spherical_harmonic

spherical_harmonic(1,...

Calculate

spherical_harmonic

spherical_harmonic(0,...

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spherical_harmonic

spherical_harmonic(1,...

Calculate

spherical_harmonic

spherical_harmonic(1,...

Calculate

spherical_harmonic

spherical_harmonic(1,...

Calculate

spherical_harmonic

Run Example
(%i1)load(orthopoly);
(%o1)       /usr/share/maxima/5.21.1/share/orthopoly/orthopoly.lisp
(%i2) tubo:spherical_harmonic(2,0,theta,phi);
                                                             2
                                           3 (1 - cos(theta))
           sqrt(5) (- 3 (1 - cos(theta)) + ------------------- + 1)
                                                    2
(%o2)      --------------------------------------------------------
                                 2 sqrt(%pi)
(%i3) plot3d(tubo^2,[theta,0,%pi],[phi,0,2*%pi],[transform_xy,spherical_to_xyz],[grid,30,60]);
plotplot3d(tubo^2,[theta,0,%pi],[phi,0,2*%pi],[transform_xy,spherical_to_xyz],[grid,30,60]);
Run Example
load(orthopoly);
(%o1)       /usr/share/maxima/5.21.1/share/orthopoly/orthopoly.lisp
(%i2) tubo:spherical_harmonic(1,1,theta,phi);
                                    %i phi
                          sqrt(3) %e       sin(theta)
(%o2)                     ---------------------------
                                 3/2
                                2    sqrt(%pi)
(%i3) plot3d(tubo,[theta,0,%pi],[phi,0,2*%pi],[transform_xy,spherical_to_xyz],[grid,30,60]);
plotplot3d(tubo,[theta,0,%pi],[phi,0,2*%pi],[transform_xy,spherical_to_xyz],[grid,30,60]);
Run Example
spherical_harmonic(1,0,60,150);
                                sqrt(3) cos(60)
(%o1)                           ---------------
                                  2 sqrt(%pi)
(%i2) 

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