In the following table, two lists (abscissa of the nodes and the expressions between and outside the breakpoints), the piecewise function 𝑓(𝑥) is given. Construct a piecewise function of two ...

A piecewise relation, at its core, is a relation that is defined by multiple sub-relations, each applying to a certain interval of the domain. These sub-relations are essentially different equations ...

This repo contains some Python tooling to simplify linear combinations of piecewise linear functions, then finally emit them (and their first derivatives) as Excel formulas. The motivating application ...

Abstract: Designing devices with memristor arrays requires simultaneous simulations of a large number of memristors. The use of detailed physical models limits the size of memristor arrays during ...

Abstract: In this work, we study the sampling of piecewise smooth- graph signals that exhibit an inhomogeneous level of smoothness over the graph and are characterized by have abrupt, localized ...