This book provides an introduction to axiomatic set theory and descriptive set theory. It is written for the upper level undergraduate or beginning graduate students to help them prepare for advanced ...

Abstract: The aim of this tutorial is to present a brief overview of the theory of rough sets from the perspective of its mathematical foundations, history of development as well as connections with ...

Teaching set theory to six-year-olds as a way into mathematics, from arithmetic on, would come to be considered misguided, overcomplicating the basics and introducing jargon. Yet however radical a ...

Abstract: This paper addresses the problem of characterizing analytically invariant sets for nonlinear discrete-time systems. Different notions of invariance are defined and the effect of state and ...

Learn how backpropagation works by building it from scratch in Python! This tutorial explains the math, logic, and coding ...