5 ms·
That's an interesting concept. I think similar spigot algorithms are known for other transcendentals, and I suspect if you compared them you would not find a ge
by alanbernstein 3y ago
That's an interesting concept. I think similar spigot algorithms are known for other transcendentals, and I suspect if you compared them you would not find a general trend of deep connections between algorithmic complexity and the geometric features of the corresponding value. What would you look for in the spigot algorithm for e, or log 2?
- davesque 3y agoI suppose e's connection to hyperbolic geometry might suggest a relationship with the implicit formula x^2 - y^2 = 1. And I guess log2's behavior would be very much connected to that since it only differs from the natural log by a constant factor.
- davesque 3y agoBut I know I'm reaching here. I just like fantasizing about math :).
- westurner 3y agoIs there unitarity, symmetry, or conservation when x^2 ± y^2 = 1? We square complex amplitudes to make them real. https://twitter.com/westurner/status/967970148509503488 https://twitter.com/westurner/status/967970148509503488 : > "Partly because, mathematically, wavefunctions are vectors in a L^2 Hilbert space, which is complex-valued. Squaring the amplitude, rather Ψ∗Ψ=|Ψ|^2 is one way to ensure that you get real-valued probabilities, which is also related to the fact that […]" https://physics.stackexchange.com/questions/280748/why-do-we-square-probability-amplitude-why-not-direct-values#comment630152_280748 https://physics.stackexchange.com/questions/280748/why-do-we...
- eru 3y agoWell, that constant factor is irrational..