Eigenvectors and invariant subspaces are also of interest beyond just mathematics—to take one example, it has been said that Google owes its success to " the $25 billion eigenvector." Discover the ...

Two weeks ago, a modest-looking paper was uploaded to the arXiv preprint server with the unassuming title “On the invariant subspace problem in Hilbert spaces”. The paper is just 13 pages long and its ...

When Lisa Piccirillo solved a decades-old mystery about the “Conway knot,” she had to overcome the knot’s uncanny ability to hoodwink some of the most powerful tools mathematicians have devised. Known ...

Informally, a dynamic system is any physical system that evolves with time (e.g., a pendulum, a planet orbiting the sun, the weather, etc). From a more mathematically precise perspective, one can ...

Virtual knot theory extends the classical study of knots by allowing for virtual crossings, which abstractly represent embeddings of closed loops in thickened surfaces of arbitrary genus. This ...