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 function is defined by multiple sub-functions, each applicable over a specific interval of the domain. These intervals are often called "pieces" of the function's domain. Each piece ...

In this paper, we propose a method for finding the best piecewise linearization of nonlinear functions. For this aim, we try to obtain the best approximation of a nonlinear function as a piecewise ...

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: This paper presents a constructive algorithm for the effective evaluation of the piecewise affine (PWA) control laws generated in explicit model predictive control (MPC). One of the main ...

Let's delve into the fascinating world of piecewise functions, focusing specifically on those exhibiting discontinuous domains. While often perceived as complex, these functions are powerful tools for ...