Today:Early fog in the far southwest clears quickly. Most areas stay dry with sunshine and variable cloud, though northern and northeastern regions may see isolated showers. Light winds overall, ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

Abstract: Two asynchronous distributed algorithms are presented for solving a linear equation of the form Ax=b with at least one solution. The equation is simultaneously and asynchronously solved by m ...

Analog computers are systems that perform computations by manipulating physical quantities such as electrical current, that map math variables, instead of representing information using abstraction ...

Abstract: This article considers the problem of solving linear algebraic equations of the form Ax=b among multiagents, which seek a solution by using local information in presence of random ...

Matrix multiplication involves the multiplication of two matrices to produce a third matrix – the matrix product. This allows for the efficient processing of multiple data points or operations ...

This paper presents an enhanced framework for three-dimensional (3D) magnetotelluric (MT) forward modeling that incorporates a current density divergence correction procedure for arbitrary anisotropic ...

Differential equations often give rise to rank-structured matrices characterized by low-rank off-diagonal blocks. These matrices can be conveniently represented in a hierarchical format, enabling ...

Modern Mathematics is constructed rigorously through proofs, based on truths, which are either axioms or previously proven theorems. Thus, it is par excellence a model of rational inquiry. Links ...