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 ...

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 ...

Abstract: Neural networks (NNs) are commonly used to approximate functions based on data samples, as they are a universal function approximator for a large class of functions. However, choosing a ...

Introduction: The domain of a function is the set of all possible input values (x-values) for which the function is defined. Understanding the domain is crucial for solving mathematical problems and ...

Using a pair of Zener diodes connected in series and in opposition, it is possible to construct a circuit in which the output signal is approximately a square wave. Let’s start inverting the polarity ...

In this activity, the teacher should create a set of cards with different graphs of functions and another set of cards with their functions written on them. The students will match the graphs with the ...

Abstract: The present paper introduces an algorithmic construction of the maximal invariant set for a PWA (piecewise affine) system. The classical analysis of this type of dynamical systems is based ...