Williamson's Theorem

Williamson's Theorem addresses the stability of certain mathematical structures known as "matrices," specifically how they behave when subjected to transformations like rotations or shifts. In essence, it ensures that if you start with a particular type of structure—like a collection of objects with specific relationships—then even after these transformations, the basic properties of that structure remain intact. This theorem is useful in various fields, including physics and economics, as it helps in understanding how systems maintain their essential characteristics despite changes.