This Python repository contains the implementation of the finite difference method for solving the Hamilton-Jacobi-Bellman (HJB) equation associated to the importance sampling (IS) problem of ...

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 ...

It's a different year, with more teams in the College Football Playoffs, but Alabama is still a lightning rod for criticism. The Crimson Tide were left in the CFP field of 12 and, in fact, were not ...

Abstract: A surface integral equation (SIE) solver is proposed to simulate arbitrarily-shaped three-dimensional monoanisotropic metasurfaces. The solver models the metasurface as an infinitesimally ...

In 1956, the American geologist M. King Hubbert made a startling prediction: In a matter of decades, the supply of fuel on which so much of modern society depended would dwindle. Dubbed the “peak oil” ...

Abstract: Riccati matrix equation (RME), a critical nonlinear matrix equation in autonomous driving and deep learning. However, memory-compute separation in traditional solving systems leads to ...

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Cardiovascular-kidney-metabolic (CKM) syndrome is a novel construct recently defined by the American Heart Association in response to the high prevalence of metabolic and kidney disease.

First, we install the PyTorch and matplotlib libraries using pip, ensuring you have the necessary tools for building neural networks and visualizing the results in your Google Colab environment. Copy ...

Masaki Kashiwara has won the 2025 Abel prize, sometimes called the Nobel prize of mathematics, for his work on algebraic analysis. Kashiwara, a professor at Kyoto University, Japan, received the award ...

Mathematicians have finally succeeded in unifying the laws of physics that govern the motions of particles at different scales. Their efforts resolve a question set by mathematician David Hilbert in ...