nk @subcountability

Physics PhD anno 2015. CV @ big evil company. Kullback-Leibler does not equal Leibler-Kullback. Sophie Ellis-Bextor was never my girlfriend. Wiener measurer. Vienna Joined June 2023

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nk @subcountability

2 hours ago

what I have to deal with 23/7 x.com/honor5947/stat…

Honor @honor5947

7 hours ago

@subcountability Kawaii pose

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nk @subcountability

10 hours ago

@ExistentialEnso I sleep naked right now, but tbh even on that look I still need to work a bit

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jake @jakewebber

a day ago

has a nut allergy person ever tried to end it all with a peanut butter sandwich

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nk @subcountability

10 hours ago

@crycrystallss take it as a chance to experiment

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nk @subcountability

10 hours ago

@aVanishingCycle I mean it's not funny at all, but those kinds of jokes have been made forever and about everyone, and imho Tao isn't likable anyway.

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nk @subcountability

11 hours ago

@griffisu incidentally snaped a pic of you from the other side of the street

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nk @subcountability

13 hours ago

@NoahChrein math? on my timeline?

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@razzy_ar @JustDeezGuy Consider A := {0,1,7} B(0) := {1,5,6} B(1) := {8,9} B(7) := {6} E.g., f = {0↦5, 1↦8, 7↦6} is a "variable-codomain function", f : ∏_{x:A}. B(x) There's 6 such functions in ∏_{x : A}. B(x). Indeed | ∏_{x:A}. B(x) | = ∏_{x:A} | B(x) | Here |{1,5,6}| · |{8,9}| · |{6}| = 6

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nk @subcountability

14 hours ago

@sqrt__5 I also tried to explain it as an expansion first. ∏ₖ₌₁ⁿ (1 − x) f(k) for x=2 will be (−1)ⁿ ∏ₖ₌₁ⁿ f(k) which is why my answer (needlessly) speaks of (−1)ⁿ. When you see (−1)ⁿ it's often zⁿ at z=-1 So I asked the bot for such formula, but it brought up Catalan.

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nk @subcountability

14 hours ago

0 < x ≤ 2 xˣ = ∑ₙ₌₀ ∏ₖ₌₁ⁿ (1 − x) · (1 − ¹⁄ₖ (1 + x))

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nk @subcountability

14 hours ago

@sqrt__5 the machine gods tell me the general identity ∑ₙ₌₀ ∏ₖ₌₁ⁿ (ᵐ⁄ₖ − 1) = 2ᵐ⁻¹ because those summands are just the Catalan numbers. Now pull out (−1)ⁿ in front of the product, which is to say (1-2)ⁿ, and consider m=3.

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nk @subcountability

17 hours ago

@khoiiiind dm me your sins

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LiterallyMeCats @literallymecats

a day ago

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wallpaper zone @beautywallss

23 hours ago

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LiterallyMeCats @literallymecats

a day ago

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Marlin @nostalgiafkninc

24 hours ago

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nk @subcountability

19 hours ago

@ElliotGlazer I assume the worst of all participants here, everybody is calculating to their advantage. Of course, the labs are the worst. Most interesting is the power dynamics. The OAI entity now weilds the math Mjöln and those who always performed fellatio may get elected into the Senate.