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 ...

This library provides a solve_qp function to solve convex quadratic programs: $$ \begin{split} \begin{array}{ll} \underset{x}{\mbox{minimize}} & \frac{1}{2} x^T P x + q^T x \\ \mbox{subject to} & G x ...

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 ...

Utility function is essentially a "model" used to represent consumer preferences, so companies often implement them to gain an edge over the competition. For example, studying consumers' utility ...

If the speed had been 8 km/h less, then it would have taken? 2. Solve the problems given in Example 1. 3. Represent the following situations mathematically: (i) John and Jivanti together have 45 ...

Buying materials and other resources and selling finished goods or services are examples of transactional functions with external customers. Some internal transactional functions, provided by ...

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 ...

Abstract: This paper develops a quadratic function convex approximation approach to deal with the negative definite ... Finally, the superiority of our results is illustrated through three numerical ...