Geometry has surprising consequences for the behaviour of matter. Living in three dimensions, we're familiar with liquids that abruptly freeze into solids, or crystals under pressure that suddenly ...

High-dimensional classification is an important and challenging statistical problem. We develop a set of quadratic discriminant rules by simplifying the structure of the covariance matrices instead of ...

X-ray crystallography and nuclear magnetic resonance (NMR) spectroscopy are two techniques used to study atomic structures. The main difference between these tools is that X-ray crystallography uses X ...