The Matrix (1999) by Ciro Santilli 37 Updated 2025-07-16
Ciro Santilli just keep watching that a gazillion times whenever it showed on TV.
All action scenes are useless crap, but the premise with Ciro's precious simulation hypothesis subject, related physics and the illusion of life.
It is a shame that the key premise of using human bodies to produce energy is completely and impossibly stupid. You would obviously get more energy by directing burning the food you feed into humans.
If the film had been made later, maybe the much more plausible concept of AI alignment would would have been used instead. What a shame.
Video 1.
Blue Pill or Red Pill scene from The Matrix (1999)
Source.
Subtle is the Lord by Abraham Pais (1982) page 22 mentions that when Einstein saw this in 1915, he was so excited he couldn't work for three days.
In this chapter Richard Feynman talks about his experiences in Brazil.
"O Americano, Outra Vez!" means "The American, once again!" in Portuguese, which is what one of the samba school boss exclaimed when Feynman was not playing well his instrument, the frigideira, during a rehearsal.
Feynman really enjoyed Brazil's (and notably Rio's) stereotypical "take it easy and enjoy life" attitude.
On Ubuntu 20.10, just:
ffmpeg -i input.mp4 -vf "subtitles=subtitle.srt" output.mp4
To change font size: stackoverflow.com/questions/21363334/how-to-add-font-size-in-subtitles-in-ffmpeg-video-filter
ffmpeg -i input.mp4 -vf "subtitles=subtitle.srt:force_style='Fontsize=64'" output.mp4
The default appears to be 24, so just multiply that by whatever seems like a reasonable factor.
Note howver that .ass subtitle files can contain style information, which ffmpeg respects. Aegisub can produce and preview such styles, making .ass one of the best options.
Unlike the simple case of a matrix, in infinite dimensional vector spaces, the spectrum may be continuous.
The quintessential example of that is the spectrum of the position operator in quantum mechanics, in which any real number is a possible eigenvalue, since the particle may be found in any position. The associated eigenvectors are the corresponding Dirac delta functions.
Minkowski space by Ciro Santilli 37 Updated 2025-07-16
with a weird dot product-like operation called the Minkowski inner product.
Because the Minkowski inner product product is not positive definite, the norm induced by an inner product is a norm, and the space is not a metric space strictly speaking.
The name given to this type of space is a pseudometric space.

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