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Sounds like good work done. . -gopo-ep1-6 Q:
Spherical harmonics basis I need a basis of sphericalharmonics on a sphere. From what I've read, we have$$ \frac{\mathbf{e}^{\mathbf{m}}}{\sqrt{2\pi}^3}Y_{\mathbf{m}}(\theta,\phi) $$ where$\mathbf{e}^{\mathbf{m}}$ is a vector, $\theta$ isan angle in the radial and $\phi$ is an angle in theazimuthal directions (two angles). This implies that
$Y_{\mathbf{m}}(\theta,\phi)$ is a vector, i.e., twoangles. I know it has six components, and I'm having a
bit of trouble with this point. A first try could be toexpand the vector $\mathbf{e}^{\mathbf{m}}$ in thespherical harmonics $$ \mathbf{e}^{\mathbf{m}}=\s
um_{\mathbf{n}}c_{\mathbf{n}}\mathbf{Y}_{\mathbf{n}} $$ and then compute $$ \frac{\mathbf{e}^{\mathbf{m}}}{\sqrt{2\pi}^3}Y_{\mathbf{m}}(\theta,\phi)=\frac{1}{\sqrt{2\pi}^3}\sum_{\mathbf{n}}c_{\mathbf{n}}Y_{\mathbf{n}}(\theta,\phi) $$ Then$\mathbf{n}$ and $\mathbf{m}$ are equivalent (I'mnot sure if this is true, but is is fine for this problem).
Now, if I compute $Y_{\mathbf{n}}(\theta,\phi)$with the above expansion, do I get the right set of basis
functions for spherical harmonics? If not, what are thepage 2 / 5

equations to generate this set? Edit: I'm not sure about
this, so I'll ask a second question, just to make sure: theabove is just an expansion in spherical harmonics,right? A: The basic spherical

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SOV. WVOS, Radio Station Vincent Ressal, WVOS,“Wind River”, 25 August 1952 WVOS, Radio Station,is located at 2410 North Greenwich Street in Grand
Rapids, Michigan. The transmitter site is at the top of
the radio tower. The antenna is an FM directional Yagi
with 5 radials. WVOS, Radio Station, is an AM sister
station of WMRD, Radio Station, and has a 100,000
watt signal. This recording, “Wind River,” wasrecorded on 7 August 1952. The high frequency of theaudio in this recording has been magnified, by themagnifying button to the right of the YouTube
window, to better hear the sound quality. The
recording only has a 1.7 second clip, because there is aslight chirp in the beginning. Because this recording is2 ½ minutes long, the opening and closing shows of therecording and the credit roll, have been removed. Paul
Poteet, WVOS, “Wind River,” 7 August 1952 Vincent
Ressal, WVOS, “Wind River,” 25 August 1952
References Further reading External links History ofthe station: 910 FM Category:Radio stations inMichigan Category:Radio stations established in 1961Category:Grand Rapids, Michigan VOS Category:1961
establishments in MichiganA ‘destructive force’ in apage 4 / 5

Green Bay Packers team that lost nine of its first 10games is changing for the better. The biggest reason is
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