Large language models (LLMs) have astounded the world with their capabilities, yet they remain plagued by unpredictability and hallucinations – confidently outputting incorrect information. In ...

This is an updated version of a story first published on Nov. 1, 2024 For centuries, students have learned that in a right triangle, the square of the hypotenuse equals the sum of the squares of the ...

This is an updated version of a story first published on May 5, 2024. For many high school students returning to class, it may seem like geometry and trigonometry were created by the Greeks as a form ...

A high school teacher didn't expect a solution when she set a 2,000-year-old Pythagorean Theorem problem in front of her students. Then Calcea Johnson and Ne'Kiya Jackson stepped up to the challenge.

James is a published author with multiple pop-history and science books to his name. He specializes in history, space, strange science, and anything out of the ordinary.View full profile James is a ...

A University of Tartu student has come up with a new proof of the Pythagorean theorem using origami. While folding paper is already used — even in basic school — to demonstrate the well-known ...

Security vendor Symantec used the OpenAI Operator agent to show how an LLM-powered tool could perform a basic cyberattack with minimal prompt engineering — a showcase of what the future might hold.

Born in Leeds, Joe finished his Spanish degree in 2018 before becoming an English teacher to football (soccer) players and managers, as well as collaborating with various football media outlets in ...

The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or mathematician to tell you about fascinating ideas from their corner of the ...

In 2022, two high school students created a trigonometric proof of the Pythagorean Theorem—something that’s only ever been accomplished by a few professional mathematicians. Now, a new article not ...

Hundreds of years before a Greek scholar outlined his proof of the Pythagorean theorem, ancient Chinese scholars proved it using just 17 characters, a renowned Chinese mathematician highlighted in a ...

As many of us have had to learn (or witness firsthand), being an adult does not necessarily mean you know more. And, I think it is safe to say a lot of basic things that should have been taught in ...