ABSTRACT: We construct matrix strong exponential Diophantine m-tuples of order n . We construct matrix strong exponential Diophantine 540-tuples of order n . We show that matrix strong Diophantine ...

ABSTRACT: We introduce an algorithm which allows us to prove that there exists an infinite number of matrix strong Diophantine 540-tuples with positive integers as entries. We construct matrix ...

Astronomers are puzzled, and that’s putting it mildly. A strange pattern of pulses, repeating like clockwork, has been detected from 3I/ATLAS, an interstellar object cruising through our Solar System.

Here’s what you’ll learn when you read this story: The majority of plants have leaves, petals and seed structures in spirals that follow the Fibonacci sequence, meaning each sequence is the sum of the ...

The famous Fibonacci sequence is a sequence of numbers that occurs naturally in many aspects of life. It’s something that has been a part of the mathematics world since at least 200 BCE, but in recent ...

The Python team at Microsoft is continuing its overhaul of environment management in Visual Studio Code, with the August 2025 release advancing the controlled rollout of the new Python Environments ...

When Fibonacci introduced what would become an eponymous sequence, he did so using rabbits as an analogy. Breeding pairs of rabbits are able to multiply within their ranks infinitely. Unfortunately, ...

Abstract: Today telecommunication systems (TS) use a large number of different codes, among which error detection codes (EDC) are distinguished, which are relatively ...

Would you trust an AI agent to run unverified code on your system? For developers and AI practitioners, this question isn’t just hypothetical—it’s a critical challenge. The risks of executing ...