I'm absurdly excited to learn that 2024 = 2³+3³+4³+5³+6³+7³+8³+9³.
...and it's because:
2025 = 45², and
45=1+2+⋯+9, and
(1+⋯+𝑛)²=1³+⋯+𝑛³ !
Via https://www.reddit.com/r/math/comments/18tr14a/2024_2³3³4³5³6³7³8³9³/.
| Location | San Francisco |
I'm absurdly excited to learn that 2024 = 2³+3³+4³+5³+6³+7³+8³+9³.
...and it's because:
2025 = 45², and
45=1+2+⋯+9, and
(1+⋯+𝑛)²=1³+⋯+𝑛³ !
Via https://www.reddit.com/r/math/comments/18tr14a/2024_2³3³4³5³6³7³8³9³/.
moreover, now we know who has access to it.
when i started at twitter in 2011 one of the first trainings i attended was the security one, which said, outright "you have a target painted on your back now, you will have to be vigilant".
seemed like pretty sound advice at the time, 12 years ago
The surprising intelligence of crows demonstrated in an experiment showing they have a causal understanding level of a 5 to 7-year-old child.
Video credit: PLOS Media
Further reading: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0092895
Full video: https://www.youtube.com/watch?v=ZerUbHmuY04
Understanding causal regularities in the world is a key feature of human cognition. However, the extent to which non-human animals are capable of causal understanding is not well understood. Here, we used the Aesop's fable paradigm – in which subjects drop stones into water to raise the water level and obtain an out of reach reward – to assess New Caledonian crows' causal understanding of water displacement. We found that crows preferentially dropped stones into a water-filled tube instead of a sand-filled tube; they dropped sinking objects rather than floating objects; solid objects rather than hollow objects, and they dropped objects into a tube with a high water level rather than a low one. However, they failed two more challenging tasks which required them to attend to the width of the tube, and to counter-intuitive causal cues in a U-shaped apparatus. Our results indicate that New Caledonian crows possess a sophisticated, but incomplete, understanding of the causal properties of displacement, rivalling that of 5–7 year old children.
know when to take the L
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