AI systems are beginning to produce proof ideas that experts take seriously, even when final acceptance is still pending.

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 ...

Large language models struggle to solve research-level math questions. It takes a human to assess just how poorly they ...

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from ...

Learn how to numerically simulate LR and LRC circuits in Python by solving the circuit differential equations step by step. Explore current and voltage vs. time, compare numerical results to analytic ...

An AI model that learns without human input—by posing interesting queries for itself—might point the way to superintelligence. Save this story Save this story Even the smartest artificial intelligence ...

The governor held a press conference on Monday where he highlighted the success of a public-private partnership aimed at removing Pythons from Florida's Everglades.Gov. Ron DeSantis shared the success ...

Abstract: The Fourier Neural Operator (FNO), a recently proposed neural network designed for solving partial differential equations (PDEs), is being explored to accelerate electromagnetic (EM) ...

Abstract: In this work, we propose a complex-valued neural operator (CV-NeuralOp) based on graph neural networks (GNNs) to solve 2-D wave equations. Inspired by Green’s function method for solving ...

Math doesn’t have to be daunting, especially when your iPhone (or iPad) can do the heavy lifting. Tucked away inside iOS is a full-featured scientific calculator, ready to help you solve complex ...

High degree algebraic equations are an unsolved problem in algebra. The author has been able to solve high-order algebraic equations using elementary algebraic methods through exploration. This ...