Numbers like pi, e and phi often turn up in unexpected places in science and mathematics. Pascal's triangle and the Fibonacci sequence also seem inexplicably widespread in nature. Then there's the ...

A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working ...

If you use consumer AI systems, you have likely experienced something like AI "brain fog": You are well into a conversation ...

Zach began writing for CNET in November, 2021 after writing for a broadcast news station in his hometown, Cincinnati, for five years. You can usually find him reading and drinking coffee or watching a ...

Abstract: Physical unclonable function (PUF) is a technique to produce secret keys or complete authentication in integrated circuits (ICs) by exploiting the uncontrollable randomness due to ...

A mathematician has uncovered a way of answering some of algebra's oldest problems. University of New South Wales Honorary Professor Norman Wildberger, has revealed a potentially game-changing ...

ABSTRACT: In this paper, we define some non-elementary amplitude functions that are giving solutions to some second-order nonlinear ODEs with forcing term and systems of ODEs with chaotic behavior, ...

Cryptographic hash functions secure data by providing a unique fixed-length output for each input. These functions are essential in blockchain for data integrity and secure transactions. Understanding ...