Ciro Santilli @cirosantilli  40

There are explicit examples of this. We can have ever thinner disturbances to convergence that keep getting less and less area, but never cease to move around.

If it does converge pointwise to something, then it must match of course.

The Fourier series of an $L^2$ function (i.e. the function generated from the infinite sum of weighted sines) converges to the function pointwise almost everywhere.

The theorem also seems to hold (maybe trivially given the transform result) for the Fourier series (TODO if trivially, why trivially).

Only proved in 1966, and known to be a hard result without any known simple proof.

This theorem of course implies that Fourier basis is complete for $L^2$, as it explicitly constructs a decomposition into the Fourier basis for every single function.

TODO vs Riesz-Fischer theorem. Is this just a stronger pointwise result, while Riesz-Fischer is about norms only?

One of the many fourier inversion theorems.

You label cells with isotopes rather than fluorescent substances. Vendors claim that this allows much wider N-way sorts, e.g. 2022 Fluidigm claims around 40/50, because the fluorecent spectrum is too wide to do much more than 7/8 way splits.

Ciro Santilli was touched by this, and then watched several other documentaries by Curtis.

Part of Ciro asks if it is all a big conspiracy theory. But it feels and sounds so right.

Notably the part of the governments have lost all power to companies, and can't do anything meaningful anymore to actually represent the people, because globalization reduces the power of governments.

Season 1 was amazing. The others fell off a bit.

This is a tag for films that depict some sort of artificial general intelligence, but in which that is not the primary focus of the film.

FFmpeg is likely the backend of YouTube through reverse engineering: streaminglearningcenter.com/blogs/youtube-uses-ffmpeg-for-encoding.html (archive)

On Quora: www.quora.com/What-does-YouTube-use-for-encoding-video/answer/Ciro-Santilli