In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with. For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram ...

A quadratic equation is drawn as a curve on a set of axes. This type of curve is called a parabola and it is symmetrical. To draw the graph we need coordinates. We generate these coordinates by ...

Abstract: A Lyapunov approach is developed in this paper for estimation of the magnitude of self-induced oscillations for systems with piecewise linear elements. The oscillatory trajectories are ...

Abstract: This paper presents a computational approach to stability analysis of nonlinear and hybrid systems. The search for a piecewise quadratic Lyapunov function is formulated as a convex ...

In the study of production scheduling to meet random fluctuations in supply and demand, a probabilistic measure of effectiveness can be used. This measure is a piecewise quadratic positive definite ...

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 ...

Spiking neuron models simulate neuronal activities and allow us to analyze and reproduce the information processing of the nervous system. However, ionic-conductance models, which can faithfully ...