Spectral methods are of fundamental importance in statistics and machine learning, because they underlie algorithms from classical principal components analysis to more recent approaches that exploit ...

In this paper, we investigate the spectral method on quadrilaterals. We introduce an orthogonal family of functions induced by Legendre polynomials, and establish some results on the corresponding ...

Researchers have created a new method to extract the static and dynamic structure of complex chemical systems. In this context, 'structure' doesn't just mean the 3-D arrangement of atoms that make up ...

An improved technique for ultra-high-resolution NMR spectroscopy may prove useful for applications such as process optimization, metabolomics, and studies of intrinsically disordered proteins. The ...

Infrared space interferometers can surpass the spatial resolution limitations of single-dish space telescopes. However, stellar interferometers from space have not been realized because of technical ...

Understanding the properties of different materials is an important step in material design. X-ray absorption spectroscopy ...