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 ...

Find out how and why mathematics is used in microeconomics, its limitations, and the math skills that economics students need.

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 ...

This is the code for SGIR, a semi-supervised framework for Graph Imbalanced Regression. Data imbalance is easily found in annotated data when the observations of certain continuous label values are ...

Activation functions play a critical role in AI inference, helping to ferret out nonlinear behaviors in AI models. This makes them an integral part of any neural network, but nonlinear functions can ...

A linear demand curve is a line representing the relationship between the demand for a product or service and its price. Everyone knows that sales are proportional to price: The more you charge for an ...

Linear and nonlinear functions are the building blocks of algebra. They are essential to the understanding of graphs, equations, and the principles that govern the study of mathematics beyond the ...