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Thus far, I have had two seperate dreams involving pipe organs. While I
was learning about organ terminology, I had a dream about playing a pipe
organ. When I started learning about the stop names, I had a second
dream in which I accidentally killed 3 people by choosing a powerful stop.
I just read that the speed of sound in air is around 340 m/s, and that
an open pipe contains 1/2 of a wave while a stopped pipe contains 1/4 of
a wave. (Not forgetting the end corrections due to the stationary air
outside the pipe.) And also that long thin pipes have more harmonics
than short wide pipes.
All of this has pretty much inevitably ended with... the wave equation.
Yah.
So apparently the wave equation tells us that the 2nd derivative of some
physical quanitity "u" with respect to time is equal to the square of
the wave propogation constant multiplied by the Laplacian of "u".
...which would probably mean something if I could figure out what a
Laplacian is! :-S
According to Wikipedia, the Laplacian of u is the sum of all partial 2nd
derivatives of u with respect to every coordinate axis.
...so...the total curvature then? ._.
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