uniqueness theorem

The uniqueness theorem refers to the principle that certain mathematical or physical problems often have only one solution under given conditions. For example, in geometry, if you know the lengths of all sides of a triangle, there is only one way to arrange those sides to form that triangle. This concept is important in various fields, including mathematics and physics, because it helps in determining the exact outcomes of problems and ensures that solutions are consistent and reliable. In essence, when conditions are specified correctly, the outcome is unique.