.png" alt="time domain comparisons">
</td></tr>
<tr><td class="bluishcentered">
FM waveform (index: 3.0) vs sum of cosines with the same (relative) component amplitudes
</td></tr>
</table>

<p>
From one point of view (looking at FM as changing the phase passed to 
the sin function), it's obvious that the output waveform should be this well behaved, but looking at it from its components,
it strikes me as a minor miracle that there is a set of amplitudes (courtesy of the Bessel functions) that fits together s