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An exercise about ants and first passage processes, solved through the bounded diffusion equation (Exercise 3, Unit 12, B3, MS327, OU). Within my brain, the concept of ants is associated to Hofstadter’s masterpiece: the GEB, specially, to both the Prelude and … Ant Fugue.

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Γ(z)

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23,519 görüntüleme • 1 yıl önce •via X (Twitter)

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Γ(z) profil fotoğrafı
Γ(z)1 yıl önce

Of course, I also think about O. Wilson (mentioned in the GEB, actually).

Jude Gomila profil fotoğrafı
Jude Gomila1 yıl önce

have you ever tried to model why ants fall into those giant ant death spirals?

Γ(z) profil fotoğrafı
Γ(z)1 yıl önce

I haven’t but sounds interesting. I’m aware that some molecular (pheromonal) communication models are based on the diffusion equation. How would you model the ant mill? 🌀🐜

Steven Xu profil fotoğrafı
Steven Xu1 yıl önce

This is just the heat equation, right???

Equation Persuasion profil fotoğrafı
Equation Persuasion1 yıl önce

Nice! Haha Bach is my goto for math music as well.

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