@AlgebraFact In 2015 Robert D. Matson reported a search through 4 x 10^11 without a fourth solution.
English
Brian Hayes
929 posts
Brian Hayes
@bit_player
Words, numbers, bits, pixels.
Chapel Hill, NC Katılım Haziran 2011
341 Takip Edilen1K Takipçiler
For which values of n is n!+1 a square? There are three known solutions: 4, 5, and 7. No other solutions < 10^9. // Brocard's problem.
English
Doug Lenat has died. Doug was both a champion and a critic of artificial intelligence. He argued for the importance of common sense in AI (and in life, for that matter). From 2008, commenting on the Turing test:
English
World Conference of Science Journalists, Medellín, Colombia. Venue for plenary talks: la Orquideorama at the Jardin Botanico.
Español
Brian Hayes retweetledi
The Thue-Morse sequence in base 3/2
bit.ly/3wQ2tmG
English
@dtkung Frost heave; needle ice. It's a fascinating phenomenon (in which mathematics, of course, has a proper place).
English
Help! Here's an ice structure we found in the woods after a night where it was barely freezing (28 degrees or so.) For scale it's about 8" across.
What is it? How does it form?
English
Grandparent of the OEIS, published 50 years ago. See arxiv.org/abs/2301.03149.
(The squiggles above and below the title are stamp-folding diagrams. "The full sequence begins 1,1,2,5,14,38,120,353,1148,3527,..., A001011. No formula is known.")
English
@michael_nielsen Sorry, I forgot the twitter sarcasm emoji. I *did* notice the petitio principii.
English
Curious: has anyone seen anything written by ChatGPT that seems as original & insightful as this?
English
But who would dream of eating such an objet d'art?
Dave Richeson@divbyzero
New item in our CSA this week! 😄
English
@iconjack Carr has 13K tweets and I've looked at only the most recent 50. But of those 39 were math/stats-related, and only three had any obvious bearing on race.
English
@bit_player Well, with all due respect, you didn't do your homework on this one. Dr. Carr tweets about race all the time, and there's quite a bit of snark, and quite a bit of anti-white racism in there. Here's one example of many:
twitter.com/kareem_carr/st…
Dr Kareem Carr@kareem_carr
“Whiteness” is the end product of dehumanizing and homogenizing people with white-enough-skin as a tool of social cohesion and social control. It’s not dehumanizing to discuss whiteness. Whiteness is dehumanization itself.
English
Just the other day I was marveling out loud about the sweetness and rationality of mathematical Twitter. No hate and snark in *this* corner of the Twitterverse. I should have known the experience might be different without my white face.
Dr Kareem Carr@kareem_carr
Feeling a bit bummed out by all the racism I have to deal with on this site. It feels so excessive given I mostly tweet about math and statistics not politics. So many people on here can’t see past my skin color. They make up wild statements about me and question my humanity.
English
@JimPropp Maybe not so far-fetched! That community (von Neumann, Ulam, Metropolis) were fond of games. On the other hand, if you want an A...A place, why not Antarctica or Argentina or Alabama or Alaska or...
English
@bit_player This isn’t strictly relevant, but if you play the car trip game where each person has to name a place whose first letter is the last letter of the place that was just named, and you omit the no-repeats rule, then “American Samoa” leads to itself.
English
In 1954 Nick Metropolis discussed a certain iterated function system with an isolated fixed point (lower left of the diagram). "Such a number is called 'samoan'," he says. Can anyone explain the meaning or origin of that term?
English
So father (known for Markov chains) and son formed a Markov chain 🤦🏽♀️ ?
English
@porges Metropolis, N. 1954. Phase shifts—middle squares—wave equation. In Meyer, Herbert A. (ed.). 1956. Symposium on Monte Carlo Methods. (The relevant section discusses von Neumann's middle-square algorithm for pseudorandom numbers.)
English
The paper: Metropolis, N. 1954. Phase shifts—middle squares—wave equation. In Meyer, Herbert A. (ed.). 1956. Symposium on Monte Carlo Methods.
English
English
@monsoon0 I really hope it works out for you, but I have fabulous pencils and papers, and yet I STILL haven't proved the Riemann hypothesis.
English
In addition to “over-engineered” mechanical pencils, I also lust after great paper. Just saw a 157gsm acid-free pad of paper – surely mathematics works out easier, smoother and faster with such heavenly instruments …
English