While a phone or arrow turns all the way around in 360 degrees, the quaternion describing this 360-degree rotation only turns 180 degrees up in four-dimensional space. You need two full rotations ...

Formally speaking, this means that there must be an algebra monomorphism from the de Rham cohomology of the closed n-manifold to the exterior algebra of the n-dimensional Euclidean space”, says ...

Four dimensional NAND for SSDs. It's about time. SK Hynix has begun production of 4D NAND, an approach that allows the memory giant to reduce chip area by 30%.

Statisticians from the National University of Singapore (NUS) have introduced a new technique that accurately describes high-dimensional data using lower-dimensional smooth structures. This ...