Mathematics

Sixteen mathematicians have published the Leiden Declaration, warning of potential threats to the field of mathematics from AI, particularly around accuracy and reliability. The declaration calls for action to address the challenges posed by the use of artificial intelligence within mathematics research.

Jonathan Gratus presents a pictorial introduction to differential geometry, a crucial tool for physics, notably general and special relativity, mechanics, thermodynamics, and solving differential equations, without using equations.

Math-to-Manim is an open-source tool that allows users to create animations and study notes from text and images, as demonstrated on GitHub by HarleyCoops.

Two notable numbers are 1.786266437(26)×10^41 and 1.15868...×10^42, derived from the fine-structure constant and the factorial of 64, respectively.

Hacker News article highlights several unusual sequences in the Online Encyclopedia of Integer Sequences (OEIS), including one that gives integers in increasing order of width when printed in Helvetica and another that represents non-reduced fractions.

Cuthbert Tunstall published the first book on mathematics in England in 1523, written in Latin. By 1571, English had become a common language in mathematical publications, but Latin was still used.