Crystals are known far and wide for their beauty and elegance. But even though they may appear perfect on the outside, their ...

The Langlands programme has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up ...

Researchers from The University of Osaka have developed a mathematical model for Volterra defects using differential geometry to analyze the relationships between different types of defects. Their ...

The Maxwell–Boltzmann distribution describes the probability distribution of molecular speeds in a sample of an ideal gas.

Considering that the curvature information of data measures how much the Riemannian (non-Euclidean) metric deviates from the Euclidean metric, we leverage geometry flow, which is called a geometric ...

This paper presents a completely automatic artifact rejection method for electroencephalographic data based on Riemannian geometry. The proposed method is tested on two P300-based brain-computer ...