Reproducing kernel Hilbert space method is utilized in this paper as an efficient approach to solve singular fourth order ...

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 ...

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...

Abstract: This communication proposes an efficient boundary-integral-based “windowed Green function” (WGF) methodology for the numerical solution of 3-D general electromagnetic problems containing ...

Harmonic analysis studies the representation of functions as superpositions of basic waves. At its core, it seeks to understand oscillatory phenomena through tools such as Fourier transforms, singular ...

Executives are increasingly enamored with the promise of an AI-driven transformation and have invested accordingly. Most large-scale companies have initiated hundreds of pilots and provided widespread ...

Looking ahead: Three decades after Adobe introduced the Portable Document Format – a design intended to preserve the appearance of printed pages across devices – PDFs are facing pressure from a ...

Effective interactions between science and policy are essential for sustainable development in ecological governance. Boundary objects connect heterogeneous communities and facilitate knowledge ...

The House of Representatives voted 214-208 on Wednesday to allow mining near the Boundary Waters Canoe Area Wilderness in Minnesota, reinvigorating plans to build a major mining project in the area.

Objective To determine how distinct combinations of resistance training prescription (RTx) variables (load, sets and frequency) affect muscle strength and hypertrophy. Data sources MEDLINE, Embase, ...

The common techniques for solving two-point boundary value problems can be classified as either "shooting" or "finite difference" methods. Central to a shooting method is the ability to integrate the ...

There is a lot of enterprise data trapped in PDF documents. To be sure, gen AI tools have been able to ingest and analyze PDFs, but accuracy, time and cost have been less than ideal. New technology ...