On Thu, 15 Mar 2007 22:56:46 -0400 "Chuckk Hubbard" badmuthahubbard@gmail.com wrote:
On 3/16/07, padawan12 padawan12@obiwannabe.co.uk wrote:
On Thu, 15 Mar 2007 06:54:40 -0700 shift8 shift8@digitrash.com wrote:
As Chuckk and some of the other mathematicians have said here, some esoteric pure math like operator theory subsumes the whole subject, because
Wait, what? I wish I was a mathematician. Do I come across that way? I don't know what operator theory is, but I guess if it's related to what I've said about music cognition, then I have some idea.
One k too many, I meant t'other Charlie :) I'm sure C.Henry once said there was something to be said for looking at operator theory, maybe I totally misunderstood because thats well beyond me.
sound is about changes and transformations, but I wonder what other peoples top 10 'must have' concepts are. I suppose it depends on your goals, for example a lot of composers learn a disproportionate amount of stats and distributions.
I'm humbled by those guys. I borrowed an extra book from my probability teacher (since probability class at an art school is kind of tame), hoping to understand Gaussian, Poisson, etc., after seeing them in the Csound manual, but I'm kind of marooned.
Can you remember what it was? I say disproportionate, but really from ignorance of use in composition. For sounds generally they are useful. The times I've encountered that theory was with water, where I found bilinear exponential to be useful, gaussian normal and 1/f for damping effects.
I think there was bit of talk on this list about perlin noise and somebody mentioned 3D terrain generation, I'm generally interested in that and other natural distributions that can be used for textutred extents. I think if I understood more behind the statistical theories I could link them better to observed physical behaviours. But there's a lot to think about,
http://en.wikipedia.org/wiki/Probability_distribution
Having the graphs printed on the right is really useful because in stats talk some familiar curves are called by different names.
Probably half of them are no use for sound applications at all. Poisson should be useful for rain and breaking glass and quite sparse events I guess. Also I thought all the tons of stats work that's been done on earthquakes is probably useful to model any type of frictional excitation generally, I mean if it works for tectonic plates aren't the same principles there between a violin bow and a string?
You never apprehend the object as a whole, because you don't know what comes next. Then again, I just apprehended that bottle of lager as a whole, so I'm not sure if I'm making much sense...
I think beer is triangular, up to a point everything improves linearly, then it all turns to bollocks and goes downhill at roughly the same rate:)
peace, Andy
Viva la dialectic.
-Chuckk
-- http://www.badmuthahubbard.com
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