Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

A number machine is a way of writing rules using a flow diagram. The equation \(3j - 6 = 9\) can be shown on a number machine by writing out the functions that have been applied to \(j\) in the order ...

Solving an equation means finding the value or values for which the two expressions on each side of the equals sign are equal. One of the most common methods used to solve equations is the balance ...

TWA is one such semiclassical approach that dates back to the 1970s, but is limited to isolated, idealized quantum systems ...

Artificial intelligence has made huge breakthroughs, but at the cost of energy-hungry training methods based on massive data ...

Abstract: The inverted pendulum is modeled by Associated Linear Equations in its discrete version (Non-linear with Auto-Regressive inputs NARXs). Its homogeneous and particular response is evaluated ...

Abstract: This article proposes a new framework using physics-informed neural networks (PINNs) to simulate complex structural systems that consist of single and double beams based on Euler–Bernoulli ...

A study suggests that the first of seven key pyramids in Egypt, the Step Pyramid of Djoser, was built using a hydraulic lift. Dated to about 4,500 years ago, this would move up the introduction of ...

Management knows it and so does Wall Street: The year-to-year viability of a company depends on its ability to innovate. Given today’s market expectations, global competitive pressures, and the extent ...