The Abstraction and Reasoning Challenge by Ciro Santilli 35 Updated 2024-12-15 +Created 2024-07-04
Staring from a triangle wave, this explains why we always get the same musical notes:See also: solving partial differential equations with the Fourier series.
- www.math.hmc.edu/~ajb/PCMI/lecture7.pdf "7.5.1. Musical instruments" is very good. Also mentions that in the piano it is more like an initial speed is applied, and it is not the same as plucking
- music.stackexchange.com/questions/135635/confusion-about-overtones-and-a-slow-motion-video-of-a-plucked-string
- music.stackexchange.com/questions/60833/what-determines-the-relative-volumes-of-the-harmonics-when-plucking-a-guitar-str
TODO: do higher overtones decay faster in time than the base ones?
- www.physicsforums.com/threads/why-do-harmonics-decay-faster-than-the-fundamental.955731/ But presumaby yes, damping force is proportional to speed, and higher harmonics have higher speeds going up and down
Wave equation on string with one vibrating side by Ciro Santilli 35 Updated 2024-12-15 +Created 2024-07-04
You know things are bad when the extracurricular activities are what studnets should actually be doing full time instead!
Discovering them was not so easy because they don't form chemical compounds. So they exist only as gases. And Helium disperses off into space.
Argon was the first to be found by density considerations because it is so abundant on Earth's atmosphere (~1%): Argon is abundant on Earth's atmosphere because it comes from the decay of Potassium-40.
Then basically all of the others were discovered by spectral lines. Helium notably was first found on the Sun like that, and only later on Earth! Thus its name. Pretty cool.
Argon is abundant on Earth's atmosphere because it comes from the decay of Potassium-40 by Ciro Santilli 35 Updated 2024-12-15 +Created 2024-07-04
And notably, it is almost all Argon-40, which is stable, but not the most common one to come from natural nucleosynthesis.
Fiber optics cables often come in pairs because it is needed for duplex by Ciro Santilli 35 Updated 2024-12-15 +Created 2024-06-28
It's the thing that allows you to connect fiber optics into a compter, or the corresponding port for the thing.
Many of them can take two fibers as input/output because fiber optics cables often come in pairs because it is needed for duplex.
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