Set theory is a mathematical abstract concerned with the grouping of sets of numbers that have commonality. For example, all even numbers make up a set, and all odd numbers comprise a set. All numbers ...

Self-organized structures can spontaneously emerge from a complex sea of microscopic, interacting constituents. This is a widespread observation in nature, now accepted as a paradigmatic concept in ...

A team of researchers have expanded Alan Turing's seminal theory on how patterns are created in biological systems. This work may answer whether nature's patterns are governed by Turing's mathematical ...