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 ...

Noether's work helped prove the conservation of energy in physics, a key foundation for Einstein's theory of relativity ...

Can humans and AI complement each other? In her new book "Robot-Proof: When Machines Have All the Answers, Build Better People," neuroscientist Vivienne Ming explores how neither AI nor humans are at ...

Scott Kominers has taught Robert Aumann's 1976 theorem dozens of times. He's assigned it in economics courses at Harvard. He's built on it in his own research. So when Axiom Math's formal verification ...

The human complement system has a pivotal role in the recognition, opsonization and elimination of microbial intruders. This functionality is maintained by a well-balanced interaction network of serum ...

Circle theorems are properties that are true for all circles, regardless of their size. There are six theorems to learn and recognise. Questions can have a combination of theorems. It is important to ...

Michael Boyle is an experienced financial professional with more than 10 years working with financial planning, derivatives, equities, fixed income, project management, and analytics. Timothy Li is a ...

Our tool provides a quick and flexible way to manipulate DNA and RNA sequences. Simply paste your raw or FASTA-formatted sequence, choose your desired operation, and get the result instantly. Unlike ...

In this special edition series of The Proof Is Out There, journalist Tony Harris explores some of the most astonishing phenomena ever captured on camera. From UFOs and cryptids to eerie enco... Read ...

One of the proofs is invalid. Can you tell me which one? Both 1 & 2 were my attempts. Even teachers can go wrong. Invalid proofs may seem valid. A solid grounding in logic will help you diagnose ...

For each event, A, in S, the probability of event A, P(A), is a measure of the likelihood that the event will occur. Axioms are statements that are accepted without proof. The provide the foundation ...