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 ...

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

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 ...

A new method developed at the University of Warwick offers the first simple and predictive way to calculate how irregularly shaped nanoparticles—a dangerous class of airborne pollutant—move through ...

Simultaneous equations are two linear equations that can be solved using bar models. By remembering that the same letter will always have the same value we can work out the missing values. To solve ...

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

An algebraic equation contains one or more letters in it. Each letter in the equation is called a variable. A variable can change in value. We guess at different values for each letter until our ...

Abstract: Many problems in science and engineering can be mathematically modeled using partial differential equations (PDEs), which are essential for fields like computational fluid dynamics (CFD), ...

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 ...