This is the order in which a binary search tree should be traversed for ordered output, i.e.:
- everything to the left is smaller than parent
- everything to the right is larger than parent
This ordering makes sense for binary trees and not k-ary trees in general because if there are more than two nodes it is not clear what the top node should go in the middle of.
This is unlike pre-order depth-first search and post-order depth-first search which generalize obviously to general trees.
Taylor expansion definition of the exponential function by
Ciro Santilli 37 Updated 2025-06-17 +Created 1970-01-01
The Taylor series expansion is the most direct definition of the expontial as it obviously satisfies the exponential function differential equation:
Note that this is a specific application of de novo DNA synthesis, e.g. polymerase chain reaction primers is another major application that does not imply creating genes.
Sometimes you are really certain that something is a required substep for another thing that is coming right afterwards.
When things are this concrete, fine, just do the substep.
But you have to always beware of cases where "I'm sure this will be needed at some unspecified point in the future", because such points tends to never happen.
YAGNI is so fundamental, there are several closely related concepts to it:
Sometimes you can debug software by staring at the code for long enough by
Ciro Santilli 37 Updated 2025-06-17 +Created 1970-01-01
A senior developer came over, and rather than trying to run and modify the code like an idiot, which is what Ciro Santilli usually does (see also experimentalism remarks at Section "Ciro Santilli's bad old event memory"), he just stared at the code for about 10 minutes.
We knew that the problem was likely in a particular function, but it was really hard to see why things were going wrong.
After the 10 minutes of examining every line in minute detail, he said:and truly, that was the cause.
I think this function call has such or such weird edge case
And so, Ciro was enlightened.
Other examples include:
- css/flex-fill-vertical.html: minimal setup for a editor: docs.ourbigbook.com/editor
That example calculates and displays the final widths via JavaScript, making it easier to understand the calculations being done.
Video 1. Alegria, Alegria by Caetano Veloso (1968)Source. Critique of Military dictatorship in Brazil.
- 1972
- Transa (1972) album. Literally: "The Fuck", good old seventies. Caetano himself later mentions that this is one of his own favorite albums.[ref] The album was composed when he was living in London.
Video 2. Triste Bahia by Caetano Veloso (1972)Source. Inspired by (or more likely: actually is) capoeira music.
Video 4. Você Não Entende Nada by Caetano Veloso (1970)Source.Amazing performance at Coliseu dos Recreios, Lisbon. 1981. Discogs says original album is Legal (1970), but wiki page and photos of back disagree...This song talks about a man's mixed desires to remain with his partner and also escape to adventure. It contains one of the most amazing sexual innuendo ever recorded: the man describes foods that his partner will serve him, and the he endlessly eats and eats and eats:translation:eu como, eu como, eu como, você [... huge intentional pause ...] não está entendendo quase nada do que eu digo.
which makes it unclear "you" is part of "I eat you" (to eat (comer) is a slang for fucking), or if "you" is part of the next sentence.I eat, I eat, I eat, you [... huge intentional pause ...] don't understand anything that I'm saying.
Video 5. Partido Alto by Caetano Veloso (1972)Source. Atheism song (theodicy)! Lyrics by Chico Buarque, but Ciro Santilli prefers this interpretation. From the 1972 "Caetano E Chico Juntos E Ao Vivo" joint album with Chico Buarque.
- 1975 Qualquer coisa album
Video 7. Samba e Amor by Caetano Veloso (1975)Source. Cover from original song by Chico Buarque, original album Chico Buarque de Hollanda - Nº4. Desperately reminds Ciro of his University day weekend nights. Except that there was no Samba. And little Amor. Mostly a silent and wholesome loneliness and emulation.Video 8. Georde de Capadócia by Caetano Veloso (1975)Source.Composed by Jorge Ben, but this interpretation is remarkable. corpo fechado (closed body) style song. This idea is much linked to Capoeira/African religion idea. E.g. a more traditional capoeira corpo fechado song: www.youtube.com/watch?v=tfd9j6XFmSg
- 1976 Doces Bárbaros (1976) album
Video 10. Um Índio by Caetano Veloso (1976)Source. Recording from 1992. Also appeared in the Bicho (1977) album. - 1977 Bicho (1977)
- 1978 album Muito (Dentro da Estrela Azulada)
Video 12. Sampa by Caetano Veloso (1978)Source."Sampa" is an affectionate slang for São Paulo City. The song perfectly captures the city, and reminds Ciro so badly of his University days there.Video 13. Terra by Caetano Veloso (1978)Source.Ciro used to watch a television nature show called "Planeta Terra" in the legendary TV Cultura with his parents in the couch when he was young, and under a duvet when it was a bit cold. Those days were the best. The narrator's lady voice was particularly soothing, and would easily put you in a kind of sleepy trance, her name is Valéria GrilloTODO what was the original show exactly? Here is a sample: www.youtube.com/watch?v=vNwfYEMdrRU Very likely just a translation of some British nature show with a custom Brazilian intro and presenter. Credits at end mention English narrator: "Eugene Fraser", and "Thirteen WNET Nature" production, which produced Nature (1982) that ran since 1982, making that a likely candidate. - 1980
- 1984 Velô (1984)
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