Abstract: An H-matrix accelerated direct solver employing the high-order Chebyshev-based Boundary Integral Equation (CBIE) method has been formulated, tested, and profiled for performance on high ...

Gerd Faltings shocked mathematicians around the world for his 1983 proof of the Mordell conjecture, which brought together ...

Divide any circle’s circumference by its diameter and you get pi. But what, exactly, are its digits? Measuring physical ...

The electronic and magnetic properties of two-dimensional materials both have strong potential for technological applications. Researchers have long assumed that they are distinct phenomena, but ...

Gerd Faltings, a number theorist at the Max Planck Institute for Mathematics in Bonn, Germany, has won the 2026 Abel Prize, ...

When artificial intelligence tools can draft essays and solve problems in seconds, it can be hard to resist the temptation to ...

The evidence supporting the conclusions of this work is solid, and ANTIPODE presents an updated methodological approach to determining how gene expression at the cell-type level has evolved. Thus, ...

Math puzzles test readers' critical thinking skills by challenging them to solve problems. Math puzzles can boost analytical thinking and problem-solving skills. A brain teaser challenge typically ...

Rice grain is considered a complex matrix. Thus, the extraction and clean-up steps must be carefully studied. The most frequent strategies are based on liquid-liquid; solid-phase; as well as ...

Abstract: Here, we describe some of the basic steps for solving mathematical equations with a metadevice, i.e., a subwavelength network that allows for the inversion of any desired matrix. The device ...