In 1867, French mathematician Pierre Ossian Bonnet proved something that seemed like common sense: if you know how far apart ...

It has been revealed that simply twisting and stacking two layers of oxide crystals can allow the atomic arrangement itself ...

Post-quantum cryptography (PQC) is the practical solution—quantum-resistant algorithms that run on existing hardware—and ...

At the intersection of mathematics and nature, scientists have found intriguing and often beautiful designs. Pinecone scales and sunflower seeds spiral according to a curve derived from the Fibonacci ...

WASHINGTON — A decadelong slide in high schoolers’ reading and math performance persisted during the COVID-19 pandemic, with 12th graders’ scores dropping to their lowest level in more than 20 years, ...

What occurs during the melting process in two-dimensional systems at the microscopic level? Researchers at Johannes Gutenberg University Mainz (JGU) have explored this phenomenon in thin magnetic ...

Snapshots of the skyrmion lattice during the melting: an ordered skyrmion lattice on the left while the lattice structure has vanished on the right. What occurs during the melting process in ...

Is an artificial intelligence revolution about to transform mathematics? Some prominent mathematicians think so, thanks to automated tools that can help write proofs suddenly showing impressive leaps ...

Abstract: Lattice codes with the optimal decoding coefficient are capacity-achieving when dimension N → ∞. In communications systems, finite dimensional lattice codes are needed, where the optimal ...

Consider a pencil lying on your desk. Try to spin it around so that it points once in every direction, but make sure it sweeps over as little of the desk’s surface as possible. You might twirl the ...

The employment future looks bright for people with strong math skills. But among the nation’s K-12 students, that represents a small and dwindling demographic. What’s to blame for students’ poor math ...