The irregular, swirling motion of fluids we call turbulence can be found everywhere, from stirring in a teacup to currents in the planetary atmosphere. This phenomenon is governed by the Navier-Stokes ...

Introduction: In the present study, fluid and mass transport along a microchannel are aimed to be solved using physics-informed neural networks (PINN), which is an emerging solution method for partial ...

Amateur mathematicians are using artificial intelligence chatbots to solve long-standing problems, in a move that has taken professionals by surprise. While the problems in question aren’t the most ...

Over the weekend, Neel Somani, who is a software engineer, former quant researcher, and a startup founder, was testing the math skills of OpenAI’s new model when he made an unexpected discovery. After ...

Nearly 200 years ago, the physicists Claude-Louis Navier and George Gabriel Stokes put the finishing touches on a set of equations that describe how fluids swirl. And for nearly 200 years, the ...

The Chicago Board of Education approved a small increase to its property tax levy on Monday that will allow the district to collect about $40 million more than originally planned. For taxpayers, that ...

From Judge André Birotte (C.D. Cal.) in Cloobeck v. Villaraigosa, decided Dec. 8 but just posted on Westlaw: This action arises out of the 2026 California gubernatorial election and the use of the ...

Allan Sun is a software and systems engineer at Apple, where he works on real-time system software and infrastructure for Apple’s in-house 5G modem silicon platforms (C1X), one of the company’s most ...

finitevolume-shocktube is an open-source Python solver for the 1D compressible Euler equations using the finite volume method with a Roe approximate Riemann solver. It is developed and maintained ...

H ave you ever met a Zionist Foucauldian? Some 30 years ago, I half-jokingly asked my fellow graduate students in a social-theory course if they had ever encountered such a creature. No one had. The ...

Pace is focused on teaching students how to solve problems. (Photo by: GHI/UCG/Universal Images Group via Getty Images) Across the country, a familiar challenge is emerging: the workforce isn’t ...

A major international study by the University of Cambridge and Zhejiang University finds CSF movement on MRI can predict dementia years before symptoms, outperforming traditional cardiovascular risks ...