This video gives you the fastest and easiest method to understand and sketch parabolas—no complex math required. We break it down step-by-step: finding the vertex, identifying the axis of symmetry, ...

Abstract: In this note, we define strong and weak common quadratic Lyapunov functions (CQLFs) for sets of linear time-invariant (LTI) systems. We show that the simultaneous existence of a weak CQLF of ...

Okay, I will write the complete article based on your instructions. The graceful curve that dips and rises, the parabola is the visual signature of a quadratic function. Understanding the graph of a ...

Abstract: The composite quadratic function based on a group of quadratic functions was introduced in our earlier paper. Some important properties of this Lyapunov function were revealed. We showed ...

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 ...

Quadratic functions are essential in the world of mathematics and have a wide range of applications in various fields, such as physics, engineering, and finance. An inverse function can be thought of ...

Math Rizz is a comprehensive mathematics e-learning web platform designed to enhance the learning experience for high school students (SMA level). It provides interactive lessons, practice exercises, ...

Bash printf function is a powerful built-in command available on all UNIX and Linux systems that allow you to format strings for display in scripts and programs. This function can also be used to ...