 Generalized Helmholtz theorem

The Generalized Helmholtz theorem is an extension of the classical Helmholtz decomposition theorem, which provides a framework for decomposing vector fields into different components based on their properties. The theorem states that any sufficiently smooth vector field in three-dimensional space can be expressed as the sum of an irrotational (curl-free) vector field and a solenoidal (divergence-free) vector field.