The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

This work deals with solving continuous-time nonlinear complementarity problems defined on two types of nonempty closed convex cones: a polyhedral cone (positive octant) and a second-order cone.

Abstract: Inspired by the idea of multiple Lyapunov functions (MLFs), we use piecewise continuous scalar functions to investigate the stabilizability of time-varying switched systems. Starting with ...

Journal of Applied Probability, Vol. 56, No. 2 (JUNE 2019), pp. 398-415 (18 pages) In this paper we derive several explicit results on one special sticky diffusion process which is constructed as a ...

A python implementation of the algorithm used to generate optimal piecewise linear approximations of convex functions proposed by Imamoto and Tang [1]. The algorithm uses an iterative search to find ...

In this article, we study the existence and uniqueness of square-mean piecewise almost periodic solutions to a class of impulsive stochastic functional differential equations driven by fractional ...

Hello, when attempting to generate a piecewise membership using the package, it is not clear to me how the piecemf function is working. After having attempted to reverse engineer the source code, it ...