George Lowther, Author of Almost Sure blog, on maths, probability and stochastic calculus. Also on YouTube piped.video/@almostsure

London, UK
new YouTube video posted! Are prime numbers random? (link below)
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Almost Sure retweeted
Replying to @tszzl
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We rarely get headaches. Don’t have the disposable income. They’re a luxury item over here
This European ibuprofen discourse surely isn’t real. I get regular pressure headaches due to the weather (when it rains the barometric pressure changes cause me headaches) You guys just…don’t take anything? You just stop working every time you have a headache?
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why does @AlexKontorovich appear as a guest in about 50% of the math videos in my timeline?
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Even funner fact: digging into the OAI proof to see what it actually says, quantitatively... looking at terms of size ~ n^{-0.2} Can't be more than 15,000 of them...for n growing exponentially. Need to go up to at least 10^{2,900,000,000} terms before it has anything to say...
Fun fact: it is known that the Flint-Hills series converges Σₙ 1/(n³sin²n)
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numerically summing the first few million terms, the Flint Hills series appears to have converged to about 30.3. But the OpenAI proof gives no indication of how close we are to the full sum. It looks to have converged but, theoretically, could still be any finite value > 30.3
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(the exact numbers above are subject to revision but, either way, they are huge)
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nice
On the train yesterday, table of middle aged women next to me talking about AI. All ChatGPT, pronounced "chat GBT", no idea why lol One of them was disappointed because she asked it to make a small crossword and it couldn't I thought surely not. I use these models every day, they do things in minutes that'd take me hours. So I got the app out and asked for one myself Every down clue is a copy of an across clue. "You ___ here" is apparently EST. The down answers are CET, ASE and TTN. Then it tells me its own puzzle isn't a proper crossword No wonder people outside tech think it's a fad. The stuff that blows my mind at work they'll never see, and the first thing they try falls over
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🔴 INSOLITE Quand deux touristes prennent leurs vacances à Paris au mauvais moment 🧳🧳
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Almost Sure retweeted
new YouTube video posted! Are prime numbers random? (link below)
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new YouTube video posted! Are prime numbers random? (link below)
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new YouTube video posted! Are prime numbers random? (link below)
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if you're wondering about the relevance of the thumbnail to the subject matter - the torus represents equidistribution of pairs of terms in the explicit formula sum for prime counting, shown in front of a plot of normalised prime counting error term
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maybe the real treasure was the friends we made along the way
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if anyone’s worried about the romance leaving mathematics, I’ll be here with special Valentine’s Day videos! piped.video/rpW2ZYtXn6o?si=BdYR…
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first time using Lean, but I think this means that OpenAI's proof that pi has irrationality measure 2 all checks out
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running lean
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