111–120 of 222 posts
On atomic level. Like atoms oscilating? How many photons are emitted when say 5 carbon atoms connect with 5 oxyxen particles? I tried searching and no avail.
Earlier quoted context omitted.
> Lagrange had insisted that such an approach could not be used to represent signals with corners, i.e., discontinuous slopes, such as in square waves. Isn't that true though? You can only approximate it, right?
In practice, yes you can only approximate it, because in theory it requires an infinite series of sinusoidal waves. But since maths is all about the theory, Laplace's objections were silly. (though I admit I don't know what the state of acceptance of infinite series was at that time) Also, it's fine to cut off the infinite series of sinusoidal waves because all physical systems cut off around a given frequency, for e…
This man needs a genius grant, and this is about the 6th time I've thought this. Any one of these pages would be a feat, an achievement to be proud of, but as a collection, it forms one of the greatest educational resources of its type that I have known. These things can give you more intuition about a subject in 45 minutes than a textbook might be able to in 3 months, because it's interesting and not dry. I wish I h…
All education should aim for this bar
Earlier quoted context omitted.
In practice, yes you can only approximate it, because in theory it requires an infinite series of sinusoidal waves. But since maths is all about the theory, Laplace's objections were silly. (though I admit I don't know what the state of acceptance of infinite series was at that time) Also, it's fine to cut off the infinite series of sinusoidal waves because all physical systems cut off around a given frequency, for e…
* Lagrange's objections
Earlier quoted context omitted.
I have this conviction that I ought to be able to code up crude audio DSP processors before I understand the totality of the theory. For example, every DFT/FFT explanation seems to start with complex numbers. I wish there was a resource that was programming focused, starting with "Step 1: Process this artificially created periodic signal by multiplying it by sine waves of frequencies from from 1 to N. There are our b…
Your intuition is right, in that most of the heavy math is simply unnecessary or irrelevant at the practical level. Complex number notation doesn't fall into that category, though. The notion of frequency is intimately tied to the notion of vector rotation, and just as you can't represent Cartesian translation without negative numbers, you can't represent Cartesian rotation without complex ones. The Smith book is def…
This man needs a genius grant, and this is about the 6th time I've thought this. Any one of these pages would be a feat, an achievement to be proud of, but as a collection, it forms one of the greatest educational resources of its type that I have known. These things can give you more intuition about a subject in 45 minutes than a textbook might be able to in 3 months, because it's interesting and not dry. I wish I h…
WARNING: sounds you can't hear can still damages your ear. DO NOT INCREASE THE VOLUME ON INFRA OR ULTRA SOUNDS BECAUSE YOU CAN'T HEAR THEM
Would love some additional info on this if you are aware of any. My intuition says (and could very well be very wrong) sound at one frequency would only damage that or very nearby frequencies hearing range? If wrong I'm curious what the range of damage is (I'm interested in exploring ultrasound data protocols, so curious what frequency I have to go to to avoid damaging anyone's - and potentially animals as well - hea…