Quantum geometry describes quantum states in systems with changing system parameters, such as an electron spinning in a magnetic field whose direction is slowly changing. The state of the electron ...

Penn researchers have developed a smarter AI method for solving notoriously difficult inverse equations, which help ...

To solve a system of equations means to obtain a common x-value and a common y-value that makes each of the equations in the ...

Penn Engineers have developed a new way to use AI to solve inverse partial differential equations (PDEs), a particularly ...

👉To solve a system of equations means to obtain a common x-value and a common y-value that makes each of the equation in the ...

Abstract: Nonlinear equation systems are ubiquitous in a variety of fields, and how to tackle them has drawn much attention, especially dynamic ones. As a particular class of recurrent neural network, ...

In this article, we reveal the novel types of exact solitons to the fourth-order nonlinear (1 + 1)-dimensional Boussinesq water wave equation. This model is obtained under the consideration of the ...

In October 2024, news broke that Facebook parent company Meta had cracked an "impossible" problem that had stymied mathematicians for a century. In this case, the solvers weren't human. An artificial ...

A research team at Duke University has developed a new AI framework that can uncover simple, understandable rules that govern some of the most complex dynamics found in nature and technology. The AI ...

Credit: Image generated by VentureBeat with FLUX-pro-1.1 Without data, enterprise AI isn't going to be successful. Getting all the data in one place and having the right type of data tools, including ...

Traditionally, people in the business world laud entrepreneurs as visionaries—risk-takers, lone wolves with audacious ideas. Risk-taking, ambition and resilience are vital parts of becoming an ...