Abstract: We provide an example proving that there exists no quadratic Lyapunov function for a certain class of linear agreement/consensus algorithms, a fact that had been numerically verified in . We ...

You scrambled up a Rubik's cube, and now you want to put it back in order. What sequence of moves should you make?

That year, French mathematician Évariste Galois finally illustrated why this was such a problem—the underlying mathematical symmetry in the established methods for lower-order polynomials simply ...

Abstract: A Lyapunov function based on a set of quadratic functions is introduced in this paper. We call this Lyapunov function a composite quadratic function. Some important properties of this ...

The optimization is done thanks to quadratic sugorate function. In particular, no linesearch or sub-iteration is necessary, and close form formula for the step are used with guaranteed convergence. A ...

The solutions to quadratic equations are known as roots or zeroes (two distinct real roots, one real root, or complex roots, depending on the values of a, b, and c.) Translate the given problem into a ...

A straight line is a linear graph. A quadratic graph has an equation which includes an \(x^{2}\) term. Examples of equations that form quadratic graphs: \(y = x^{2}\) \(y = 3x^{2} + 2x – 5\) \(y ...

Quadratic Equations Class 10 Notes: This article brings to you revision notes for CBSE Class 10 Mathematics Chapter 4, Quadratic Equations along with a PDF download link for the same. These short ...

“QUADRATIC VOTING” is a new method of polling ... But additional votes will cost you extra credits. Two votes, for example, cost four credits (two squared). Each additional vote on an issue ...