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 ...

This repository contains multiple scripts that help explore and perform tests on numbers to try and prove the collatz-conjecture. I tried to optimize the scripts as best I could to be able to run more ...

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 ...

School of Mathematics and Physics, Jinggangshan University, Ji’an, China. The fundamental problem of approximation theory is to resolve a possibly complicated function, called the target function, by ...

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 ...