I have very fond memories of high school geometry. Memorizing theorems wasn't too hard, and solving proofs was like solving the logic puzzles that I did for fun anyway. But the theorems were scattered ...
When calculating angles using a circle theorem, always state which theorem applies. It may not be possible to calculate the missing angle immediately. It may be necessary to calculate another angle ...
Scientists have for the first time used artificial intelligence to suggest and prove new mathematical theorems. The potential breakthrough came in a collaboration between mathematicians who specialise ...
An AI from Google DeepMind can solve some International Mathematical Olympiad (IMO) questions on geometry almost as well as the best human contestants. How does ChatGPT work and do AI-powered chatbots ...
Calcea Johnson and Ne'Kiya Jackson, who surprised the math world when they produced innovative solutions to a 2,000-year-old puzzle, wowed the math world again when they presented several new ways of ...
Napoleon Bonaparte, First Consul. Work by Ingres. It was during this period that he came into contact with the theorems. Credit: Public domain / Wikimedia Commons His political stance allowed him to ...
In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...
The Pythagorean theorem, a cornerstone of mathematics for millennia, provides a method for determining unknown sides in right-angled triangles using the formula a² + b² = c². Its applications extend ...
As I work proofs with my Calculus and Higher Geometries students, I often run across the Greek symbol that, in math, means “there exists." This might show up, for example, in statements such as “there ...
Here's a scene from "The Royale," an episode of Star Trek: The Next Generation that aired March 27, 1989. In it, Captain Jean-Luc Picard tells his First Officer, Commander Riker, about his work in ...