Abstract: We investigate the singular value decomposition (SVD) of a rectangular matrix $\boldsymbol{\mathit{A}}(z)$ of functions that are analytic on an annulus that includes at least the unit circle ...

Abstract: DeepTensor is a computationally efficient framework for low-rank decomposition of matrices and tensors using deep generative networks. We decompose a tensor as the product of low-rank tensor ...

In this video, I demonstrate how to make an oxygen generator using manganese dioxide (MnO2) and hydrogen peroxide (H2O2) Alaska’s record snowfall sank boats and collapsed roofs Massive fraud ...

Predicting rates by which dead plant material breaks down is essential for global carbon models. Dryland ecosystems are critical to the global carbon cycle, as they cover >40% of the terrestrial area, ...

Mastering decomposition—the skill of breaking down complexity into manageable chunks—can help if you're easily overwhelmed by anxiety, procrastinate, have difficulty concentrating due to depression, ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

A research team led by Dr. Kee Young Koo from the Hydrogen Research Department at the Korea Institute of Energy Research (President: Yi Chang-Keun, hereafter referred ...

State Key Laboratory of Environment-Friendly Energy Materials, Southwest University of Science and Technology, Mianyang 621010, P. R. China ...

Advanced Catalytic Materials Research Center, School of Materials Science and Engineering; State Key Laboratory of Precious Metal Functional Materials, Tianjin University, Tianjin 300072, China ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...