Congruent matrix Updated 2025-07-16
Two symmetric matrices and are defined to be congruent if there exists an in such that:
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.
Key quote that names the chapter:
My friend Matt Sands was once going to write a book to be called Alfred Nobel's Other Mistake.
k-nearest neighbors algorithm Updated 2025-07-16
One of the most simply classification algorithm one can think of: just see whatever kind of point your new point seems to be closer to, and say it is also of that type! Then it is just a question of defining "close".
Training and inference Updated 2025-07-16
This is the first thing you have to know about supervised learning:
Both of those already have hardware acceleration available as of the 2010s.
TOP500 Updated 2025-07-16
Intel supercomputer market share Updated 2025-07-16
Figure 1.
Intel supercomputer market share from 1993 to 2020
. Source. This graph is shocking, they just took over the entire market! Some good pre-Intel context at The Supermen: The Story of Seymour Cray by Charles J. Murray (1997), e.g. in those earlier days, custom architectures like Cray's and many others dominated.
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.
TODO clear attribution source:
Some people say, "Give the customers what they want." But that's not my approach. Our job is to figure out what they're going to want before they do. I think Henry Ford once said, "If I'd asked customers what they wanted, they would have told me, 'A faster horse!'" People don't know what they want until you show it to them. That's why I never rely on market research. Our task is to read things that are not yet on the page.
Calculus of variations Updated 2025-07-16
Calculus of variations is the field that searches for maxima and minima of Functionals, rather than the more elementary case of functions from to .

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