For general relativity, the solution is found for the special model of four-dimensional space which is Euclidean with respect to space coordinates and Riemannian with respect to the time coordinate.

Sphere polar decoding can achieve the maximum likelihood (ML) bound. Existing sphere polar decoding ignores that the Euclidean distance of the frozen bits can b ...

Euclidean distance matrices Euclidean distance matrices: special subsets, systems of coordinates and multibalanced matrices Pablo Tarazaga; Blair Sterba-Boatwright; Kithsiri Wijewardena Department of ...

When embedded on a sphere, data on different cell types (shown in different colors) are clearly distinguishable, not jumbled together as they would be if embedded in Euclidean space. Spherical ...

Secretary of State Antony J. Blinken is making the first trip by a Biden administration cabinet official to the former Soviet republics of Central Asia.

“Why is the universe relatively flat instead of being shaped like a sphere? Doesn’t the universe also expand perpendicularly to the relatively flat surface?” ...