Abstract: We introduce an algorithm for synthesizing and verifying piecewise linear Lyapunov functions to prove global exponential stability of piecewise linear dynamical systems. The Lyapunov ...

Abstract: A classical difficult isomorphism testing problem is to test isomorphism of p-groups of class 2 and exponent p in time polynomial in the group order. It is known that this problem can be ...

Understanding a linear function graph is fundamental to grasping core mathematical concepts and their real-world applications. By analyzing the visual representation of a linear equation, we can ...

Linear graphs are straight-line graphs that visually represent a constant rate of change in the relationship between two variables, showing how one changes in response to the other. They are expressed ...

Linear functions are fundamental building blocks in mathematics and play a key role in solving real-world problems where the rate of change remains constant. Linear functions arise in a wide range of ...

Open Graph Examples is a curated collection of example Open Graph Images, tools and tips to make your own Open Graph social card stand out. Open Graph Examples is a curated collection of example Open ...

A function is a rule that is applied to one set of values to give another set of values. A function can be illustrated on a graph – points are plotted as coordinates and joined by either a straight ...

Department of Systems Biology, Harvard Medical School, Boston, MA, United States The linear framework uses finite, directed graphs with labelled edges to model biomolecular systems. Graph vertices ...

When rendering a definition with certain step types the steps order becomes relevant and the resulting graph becomes incorrect. This is a bug when rendering the graph. It not only happens on vs code ...