AI could soon spew out hundreds of mathematical proofs that look "right" but contain hidden flaws, or proofs so complex we ...

A marriage of formal methods and LLMs seeks to harness the strengths of both.

In some ways, data and its quality can seem strange to people used to assessing the quality of software. There’s often no observable behaviour to check and little in the way of structure to help you ...

Vladimir Zakharov explains how DataFrames serve as a vital tool for data-oriented programming in the Java ecosystem. By ...

Earlier today I set you these three problems about the number 11. Here they are again with solutions. 1. Funny formation You are the coach of a football team, whose players have shirt numbers 1 to 11.

It’s two decimal digits long, it’s prime, it’s a palindrome and it’s the number of players in a football team. Let’s hear it for “legs” eleven! Today’s puzzles reveal interesting properties about the ...

Illustrating physics problems with Web VPython in Python. Learn how to build clear 3D visualizations for motion and forces, and bring physics concepts to life with interactive animations and simple ...

Amateur mathematicians are using artificial intelligence chatbots to solve long-standing problems, in a move that has taken professionals by surprise. While the problems in question aren’t the most ...

This guide on 50 DSA patterns helps you recognize common problem types and apply proven approaches to solve coding questions faster. By mastering these patterns—like sliding window, two pointers, ...

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly reflecting shapes to tile a surface, researchers uncovered a method that links ...