How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a system—like the orbit of planets.
A recent study published in the journal Cell provides evidence that the human brain uses a shared organizational map, or ...
In the mid-noughties, when music by the Killers and Franz Ferdinand blared out of every pub and nightclub I passed, I spent ...
Anyone who speaks more than one language knows the feeling of expressing the same thought through entirely different ...
Last month, OpenAI announced that its latest version of ChatGPT had solved a major math problem, one that had stumped experts ...
Ohio legislators recently passed a bill that requires districts and schools to use specific math curriculum, provide more ...
Google has been chasing real-time translation for years, which it says has been one of its “pioneering machine learning experiments.” We’ve seen numerous demos on stage at Google events in the past, ...
Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...
In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...
In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...
In this video, I explain the concept of function transformations, differentiating between outside and inside operations. This math tutorial visually demonstrates how multiplying or adding constants ...