The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in Book 7 of ...

Euclidean Rhythm Generator A Rust implementation that generates musical rhythm patterns using the Euclidean algorithm, originally developed by the ancient Greek mathematician Euclid.

Let K be a number field with unit rank at least four, containing a subfield M such that K/M is Galois of degree at least four. We show that the ring of integers of K is a Euclidean domain if and only ...