infinitesimal transformation meaning in Hindi

Examples

1. Lie algebras were introduced to study the concept of infinitesimal transformations.
2. This implies that infinitesimal transformations are transformed with a Hermitian operator.
3. Hermitian operators then follow for infinitesimal transformations of a classical polarization state.
4. The boost and rotation here are infinitesimal transformations because and rotation are small.
5. In mathematics, an "'infinitesimal transformation "'is a transformation.
6. One-parameter groups were introduced by Sophus Lie in 1893 to define infinitesimal transformations.
7. Lie algebras abstract the essential nature of infinitesimal transformations, and have become ubiquitous in mathematics.
8. Notice and are infinitesimal transformations because they involve a small increment in the relative velocity, while is not.
9. The third theorem on the list stated the Jacobi identity for the infinitesimal transformations of a local Lie group.
10. Thus, energy conservation requires that infinitesimal transformations of a polarization state occur through the action of a Hermitian operator.