Since ancient Greece, researchers have tried to isolate special rational points on curves. Now they have the first ever formula that applies uniformly to all curves ...

Abstract: In this paper, we investigate the controllability and observability properties of a family of linear dynamical systems, whose structure is induced by the Laplacian of a grid graph. This ...

Abstract: This paper presents three design techniques for cooperative control of multiagent systems on directed graphs, namely, Lyapunov design, neural adaptive design, and linear quadratic regulator ...

Our teacher already knows there is a positive relationship between how much time was spent on an essay and the grade the essay gets, but we’re going to need some data to demonstrate this properly.

An equation of the form \(y = mx + c\) where \(m\) and \(c\) are numbers, gives a straight line when values of \(x\) and corresponding values of \(y\) are plotted on a grid. A straight line is a ...

A research team at Duke University has developed a new AI framework that can uncover simple, understandable rules that govern some of the most complex dynamics found in nature and technology. The AI ...

A dropped plate, a smashed sugar cube and a broken drinking glass all seem to follow the same law of physics when it comes to how many fragments of a given size they will shatter into. For several ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

For many, the phrase “quadratic equation” brings back memories of high school algebra classes and a tangled mess of variables and numbers. Yet, this fundamental mathematical concept is a powerful tool ...

Apple has added several improved and new features to the iOS 18 Calculator. You can now see your iPhone Calculator history, use Math Notes, do conversions, and enjoy an improved scientific calculator.