Vector bundle theory in algebraic geometry examines algebraic families of vector spaces parametrised over the points of algebraic varieties, extending familiar notions such as tangent bundles and line ...

Moduli spaces of vector bundles form a central pillar in modern algebraic geometry, offering a systematic classification of bundles up to isomorphism and encapsulating their deformation theory. A ...

If the ARM processor in its many incarnations is to take on the reigning Xeon champ in the datacenter and the born again Power processor that is also trying to knock Xeons from the throne, it is going ...

Back in 2013, a handful of researchers at Google set loose a neural network on a corpus of three million words taken from Google News texts. The neural net’s goal was to look for patterns in the way ...

The drive to get every student to take so-called college gateway courses has succeeded, a new federal study finds, but students taking Algebra 1 and Geometry classes are getting considerably less ...