Meet Bille, the name given to the world's first monostable tetrahedron—a four-faced object that will always land on the same ...

For decades, ferromagnetic materials have driven technologies like magnetic hard drives, magnetic random access memories and ...

Riemannian geometry has been successfully used in many brain-computer interface (BCI) classification problems and demonstrated superior performance. In this paper, for the first time, it is applied to ...

Riemannian optimization has been widely used to deal with the fixed low-rank matrix completion problem, and Riemannian metric is a crucial factor of obtaining the search direction in Riemannian ...

Jason Mutterer, principal of Summit High School in Arlington, Texas, wrote personal, heartfelt notes to each one of the 443 graduating seniors.

The Secrets of the Atlas expansion for Path of Exile has arrived, bringing with it new story content in the Atlas, new items and uniques, endgame changes, and ...

Season 17 of Overwatch 2 has arrived, bringing with it a new map, the Hacks and Hijinx mode, and several Hero and general ...

For more than five centuries, Leonardo da Vinci’s Vitruvian Man has invited admiration but also bafflement. With its harmonious symmetry of limbs outstretched in both a square and a circle, the ...

Abstract: Riemannian representation learning typically relies on approximating densities on chosen manifolds. This involves optimizing difficult objectives, potentially harming models. To completely ...

Introduction to Riemannian geometry. Riemannian connections, curvature and geodesics. Applications to submanifolds and to the connection between topology and curvature. Learning outcome The course ...

This is a graduate-level text on algebraic geometry that provides a quick and fully self-contained development of the fundamentals, including all commutative algebra which is used. A taste of the ...