The wave equation can be seen as infinitely many infinitesimal coupled oscillators Updated 2025-07-16
TODO confirm, see also: coupled oscillators. And then this idea can be used to define/motivate quantum field theory in terms of quantum harmonic oscillators with second quantization.
- youtu.be/SMmFgIEGYtw?t=324 Quantum Field Theory 2a - Field Quantization I by ViaScience (2018)
Lossy 1D Wave Equation Updated 2025-07-16
Wave Updated 2025-07-16
Polarization Updated 2025-07-16
Start with: Section "String polarization".
Then go to: Section "Polarization of light".
Diffraction Updated 2025-07-16
Refraction Updated 2025-07-16
Resonance Updated 2025-07-16
Examples:
- mechanical resonance, notably:
- pipe instruments
- electronic oscillators, notably:
- LC oscillator, and notably the lossy version RLC circuit
Perhaps a key insight of resonance is that the reonant any lossy system tends to look like the resonance frequency quite quickly even if the initial condition is not the resonant condition itself, because everything that is not the resonant frequency interferes destructively and becomes noise. Some examples of that:
- striking a bell or drum can be modelled by applying an impuse to the system
- playing a pipe instrument comes down to blowing a piece that vibrates randomly, and then leads the pipe to vibrate mostly in the resonant frequency. Likely the same applies to bowed string instruments, the bow must be creating a random vibration.
- playing a plucked string instrument comes down to initializing the system to an triangular wave form and then letting it evolve. TODO find a simulation of that!
Another cool aspect of resonance is that it was kind of the motivation for de Broglie hypothesis, as de Broglie was kind of thinking that electroncs might show discrete jumps on atomic spectra because of constructive interference.
Wave interference Updated 2025-07-16
2D wave equation on a circular domain Updated 2025-07-16
Helmholtz equation Updated 2025-07-16
eigenvalue problem of Laplace's equation.
Ice Updated 2025-07-16
In informal contexts, it usually refers to the phase of ice observed in atmospheric pressure, Ice Ih.
The Message (1976) Updated 2025-07-16
Full Metal Jacket Updated 2025-07-16
Electronic voting Updated 2025-07-16
I would also increase voter percentage due to convenience, and reduce the weight of voting fraud cases, as everyone would be able to check that their own vote was counted correctly.
And then, we would be able to have referendums for basically any important decision being made. No need to go out on the streets and waste your time in a mass protest! Just vote!
It is possible to implement anonymous electronic voting with ring signatures, an algorithm also used by Monero, an anonymity focused cryptocurrency, as mentioned e.g. on this 2004 paper eprint.iacr.org/2004/281.pdf. The system can be set in a way such that you can only deanonymize someone if everyone else, or a very large number of people, conspire against that person.
The same system could also be used to setup forums where only citizens of the country could comment and propose changes and vote on them.
With electronic voting, we could have a system where you can let someone you trust vote for you automatically, or vote automatically for certain subjects alone, a bit like we do by electing senators. But then you would also be able to override specific votes if you wanted to.
In this system therefore, anyone who can proxy vote has to have their vote public, and placed in a decent website that shows clearly who voted for what.
Related:
- www.vote-coin.com/ allows you to delegate your voting power to someone else, that's perfect!
Referendum Updated 2025-07-16
Pregnancy Updated 2025-07-16
Virus classification Updated 2025-07-16
Coronavirus Updated 2025-07-16
Dengue virus Updated 2025-07-16
Retrovirus Updated 2025-07-16
There are unlisted articles, also show them or only show them.