Nice looking and expensive operating system by Apple. Ciro Santilli believes that:
- if you want to be ripped off, just use Microsoft Windows which has more software available
- or if you want to attain Enlightenment, just use Linux, which is free and open source
Analects translation by Robert Eno (2015) by
Ciro Santilli 35 Updated 2025-04-24 +Created 1970-01-01
An algebra over a field where division exists.
Shows up when trying to solve 2D wave equation on a circular domain in polar coordinates with separation of variables, where we have to decompose the initial condition in termes of a fourier-Bessel series, exactly like the Fourier series appears when solving the wave equation in linear coordinates.
For the same fundamental reasons, also appears when calculating the Schrödinger equation solution for the hydrogen atom.
Enrico Fermi: physicist by Emilio Segrè (1970) by
Ciro Santilli 35 Updated 2025-04-24 +Created 1970-01-01
Biography of Enrico Fermi by fellow physicist, free rent on the on the Internet Archive: archive.org/details/enricofermiphysi0000segr
Examples:
- html/min.html: minimal valid HTML document. It is insane however.
- html/min-sane.html: minimal sane HTML document. There are smaller valid ones, but they are insane.
- html/img.html
- html/img-broken.html: stackoverflow.com/questions/22051573/how-to-hide-image-broken-icon-using-only-css-html
- html/img-load-lazy.html: stackoverflow.com/questions/2321907/how-do-you-make-images-load-lazily-only-when-they-are-in-the-viewport/57389607#57389607
- html/iframe.html. Uses: html/iframe2.html, html/hello.txt and html/hello
- forms
- YouTube embeds
This section talks about solvers/simulators dedicated solving the wave equation. Of course, any serious solver will likely be able to solve a wider range of PDE, so this section contains mostly fun toys. For more serious stuff see: Section "PDE solver".
JavaScript toy solvers:
- jtiscione.github.io/webassembly-wave/index.html circular domain, create waves with mouse click
- dionyziz.com/graphics/wave-experiment/ with useless 3D WebGL visualization :-), waves with mouse click. Solving itself done on CPU, not GPU.
Start with: Section "String polarization".
Then go to: Section "Polarization of light".
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