Abstract: This paper introduces neuroevolution for solving differential equations. The solution is obtained through optimizing a deep neural network whose loss function is defined by the residual ...

Abstract: Nonlinear equation systems (NESs) are ubiquitous, and solving them is an important yet challenging task in numerical computation. Most of the NESs usually contain multiple roots. To locate ...

py-pde is a Python package for solving partial differential equations (PDEs). The package provides classes for grids on which scalar and tensor fields can be defined. The associated differential ...

Stage 5: Justify thinking. A vital habit that many students need to solidify is recontextualizing after they solve ...

We have looked at how to solve equations with one unknown value, but what happens when there are two unknown values? An equation with two unknown values will have infinitely many solutions. or \(x=100 ...

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in Maths when we do not know the exact number in a calculation - this unknown ...

Artificial intelligence (AI) systems, particularly artificial neural networks, have proved to be highly promising tools for ...

A differential equation is an equality constraining a mathematical function in relation to its derivatives over one or multiple variables. Such equations may constitute the mathematical model for a ...

Marijn Heule turns mathematical statements into something like Sudoku puzzles, then has computers go to work on them. His ...

A simple looking grade-school math problem has stumped the masses. Can you solve it correctly? The simple equation shared by @BholanathDutta on X this week, who regularly posts brainteasers, read ...

The Navier–Stokes partial differential equation was developed in the early 19th century by Claude-Louis Navier and George ...

A simple looking grade-school math problem has stumped the masses. Can you solve it correctly? The simple equation shared by @BholanathDutta on X this week, who regularly posts brainteasers, read ...