My feed was recently clogged up with news articles reporting that Sam Altman thinks that AGI is here, or will be here next year, or whatever. I will refrain from giving even more air to this nonsense by linking to … Continue reading →| Xena
How to calculate large powers of 3 + √2 numerically with bc and symbolically with Mathematica. Conjecture regarding the integer and irrational parts.| John D. Cook
For any x, the behavior of multiples of x mod 1 is easy to classify. The powers of x mod 1 are more interesting. We give examples of different behavior.| John D. Cook
This blog post presents various visualizations related to the Collatz conjecture using Raku.| Raku for Prediction
Този блог пост представя различни визуализации, свързани с хипотезата на Колац, използвайки Raku.| Raku for Prediction
This blog post demonstrates mathematical properties for the number 2025.| Raku for Prediction
Update: Let me mention a ninth paper that just appeared on the arXive. IX. … and the optimal sofa for the moving sofa problem is … Gerver’s sofa. Optimality of Gerver’s Sofa…| Combinatorics and more
This week’s Fiddler is about tiling a square with smaller squares. Suppose you have infinitely many 3-by-3 cm tiles and infinitely many 5-by-5 cm tiles. You want to use some of these tiles to precisely cover a square whose side length is a whole number of centimeters. Tiles may not overlap, and they must completely … Continue reading "Tiling squares" The post Tiling squares first appeared on Book Proofs.| Book Proofs
Diffie-Hellman key agreement protocol uses modular exponentiation and calls for use of special prime numbers. If you ever wondered why, I’ll try to explain. Diffie-Hellman key agreement The &…| securitypitfalls
Having been through the process of finding and applying for postdoc positions in Europe over the last couple of years, here is now the big list that I wished someone had given me a few years ago.| Motivic stuff
A comprehensive discussion and derivation of RSA cryptography, including the generalisation to multiple primes.| Sigma Prime
In 2018 Harvard held a week-long celebration for Barry Mazur’s 80th birthday. In keeping with Mazur’s wide-ranging interests, and with the title — Mathematics Is a Long Conversation — t…| Mathematics without Apologies, by Michael Harris