Universality in Mathematics

In mathematics, universality refers to the idea that certain structures, equations, or principles have the capacity to represent or encompass a wide range of phenomena or problems. It means that a single mathematical concept can model many different systems, revealing underlying patterns and connections. For example, some equations are so fundamental that they appear in diverse fields like physics, biology, and computer science, demonstrating their universal applicability. Essentially, universality highlights the power of mathematics to unify and describe the complexity of the natural and abstract worlds through common frameworks.